From 8a087e3af253bf640add0eccadef2ad0c1f9d100 Mon Sep 17 00:00:00 2001
From: DennisGlaeser <dennis.glaeser@iws.uni-stuttgart.de>
Date: Fri, 13 Jan 2017 15:41:43 +0100
Subject: [PATCH] [mixeddimension] Implement mixeddimension framework and first
embedded test
---
dumux/CMakeLists.txt | 1 +
dumux/implicit/cellcentered/localjacobian.hh | 55 +-
dumux/implicit/localjacobian.hh | 18 +-
dumux/implicit/properties.hh | 4 +
dumux/implicit/propertydefaults.hh | 3 +-
dumux/mixeddimension/CMakeLists.txt | 13 +
dumux/mixeddimension/assembler.hh | 462 +
dumux/mixeddimension/bulklocaljacobian.hh | 319 +
dumux/mixeddimension/embedded/CMakeLists.txt | 1 +
.../cellcentered/bboxtreecouplingmanager.hh | 604 +
.../bboxtreecouplingmanagersimple.hh | 498 +
.../embedded/cellcentered/pointsourcedata.hh | 259 +
dumux/mixeddimension/embedded/start.hh | 203 +
dumux/mixeddimension/glue/CMakeLists.txt | 3 +
dumux/mixeddimension/glue/glue.hh | 268 +
.../mixeddimension/integrationpointsource.hh | 185 +
.../linearsolveracceptsmultitypematrix.hh | 80 +
dumux/mixeddimension/lowdimlocaljacobian.hh | 319 +
dumux/mixeddimension/model.hh | 551 +
dumux/mixeddimension/newtoncontroller.hh | 766 +
dumux/mixeddimension/problem.hh | 583 +
dumux/mixeddimension/properties.hh | 200 +
.../mixeddimension/subproblemlocaljacobian.hh | 340 +
dumux/mixeddimension/subproblemproperties.hh | 38 +
test/CMakeLists.txt | 1 +
test/mixeddimension/CMakeLists.txt | 1 +
.../embedded/1p_1p/1d3dtestproblem.hh | 256 +
.../embedded/1p_1p/CMakeLists.txt | 3 +
.../embedded/1p_1p/bloodflowproblem.hh | 359 +
.../embedded/1p_1p/bloodflowspatialparams.hh | 98 +
.../embedded/1p_1p/convergencetest.py | 53 +
.../embedded/1p_1p/grids/cylinder.geo | 41 +
.../embedded/1p_1p/grids/cylinder.msh | 18890 ++++++++++++++++
test/mixeddimension/embedded/1p_1p/plot.py | 61 +
.../embedded/1p_1p/test_1p_1p.cc | 45 +
.../embedded/1p_1p/test_1p_1p.input | 52 +
.../embedded/1p_1p/tissueproblem.hh | 359 +
.../embedded/1p_1p/tissuespatialparams.hh | 102 +
test/mixeddimension/embedded/CMakeLists.txt | 1 +
39 files changed, 26055 insertions(+), 40 deletions(-)
create mode 100644 dumux/mixeddimension/CMakeLists.txt
create mode 100644 dumux/mixeddimension/assembler.hh
create mode 100644 dumux/mixeddimension/bulklocaljacobian.hh
create mode 100644 dumux/mixeddimension/embedded/CMakeLists.txt
create mode 100644 dumux/mixeddimension/embedded/cellcentered/bboxtreecouplingmanager.hh
create mode 100644 dumux/mixeddimension/embedded/cellcentered/bboxtreecouplingmanagersimple.hh
create mode 100644 dumux/mixeddimension/embedded/cellcentered/pointsourcedata.hh
create mode 100644 dumux/mixeddimension/embedded/start.hh
create mode 100644 dumux/mixeddimension/glue/CMakeLists.txt
create mode 100644 dumux/mixeddimension/glue/glue.hh
create mode 100644 dumux/mixeddimension/integrationpointsource.hh
create mode 100644 dumux/mixeddimension/linearsolveracceptsmultitypematrix.hh
create mode 100644 dumux/mixeddimension/lowdimlocaljacobian.hh
create mode 100644 dumux/mixeddimension/model.hh
create mode 100644 dumux/mixeddimension/newtoncontroller.hh
create mode 100644 dumux/mixeddimension/problem.hh
create mode 100644 dumux/mixeddimension/properties.hh
create mode 100644 dumux/mixeddimension/subproblemlocaljacobian.hh
create mode 100644 dumux/mixeddimension/subproblemproperties.hh
create mode 100644 test/mixeddimension/CMakeLists.txt
create mode 100644 test/mixeddimension/embedded/1p_1p/1d3dtestproblem.hh
create mode 100644 test/mixeddimension/embedded/1p_1p/CMakeLists.txt
create mode 100644 test/mixeddimension/embedded/1p_1p/bloodflowproblem.hh
create mode 100644 test/mixeddimension/embedded/1p_1p/bloodflowspatialparams.hh
create mode 100755 test/mixeddimension/embedded/1p_1p/convergencetest.py
create mode 100644 test/mixeddimension/embedded/1p_1p/grids/cylinder.geo
create mode 100644 test/mixeddimension/embedded/1p_1p/grids/cylinder.msh
create mode 100644 test/mixeddimension/embedded/1p_1p/plot.py
create mode 100644 test/mixeddimension/embedded/1p_1p/test_1p_1p.cc
create mode 100644 test/mixeddimension/embedded/1p_1p/test_1p_1p.input
create mode 100644 test/mixeddimension/embedded/1p_1p/tissueproblem.hh
create mode 100644 test/mixeddimension/embedded/1p_1p/tissuespatialparams.hh
create mode 100644 test/mixeddimension/embedded/CMakeLists.txt
diff --git a/dumux/CMakeLists.txt b/dumux/CMakeLists.txt
index a97251962f..a8e7f0f33e 100644
--- a/dumux/CMakeLists.txt
+++ b/dumux/CMakeLists.txt
@@ -6,6 +6,7 @@ add_subdirectory("implicit")
add_subdirectory("io")
add_subdirectory("linear")
add_subdirectory("material")
+add_subdirectory("mixeddimension")
add_subdirectory("multidomain")
add_subdirectory("nonlinear")
add_subdirectory("parallel")
diff --git a/dumux/implicit/cellcentered/localjacobian.hh b/dumux/implicit/cellcentered/localjacobian.hh
index ea4b5fae11..56828a566f 100644
--- a/dumux/implicit/cellcentered/localjacobian.hh
+++ b/dumux/implicit/cellcentered/localjacobian.hh
@@ -144,9 +144,6 @@ public:
ElementBoundaryTypes elemBcTypes;
elemBcTypes.update(this->problem_(), element, fvGeometry);
- // The actual solution in the element
- auto curElemSol = this->model_().elementSolution(element, this->model_().curSol());
-
// calculate the local residual
if (isGhost)
{
@@ -173,7 +170,6 @@ public:
fvGeometry,
prevElemVolVars,
curElemVolVars,
- curElemSol,
elemFluxVarsCache,
elemBcTypes,
matrix,
@@ -201,7 +197,6 @@ protected:
const FVElementGeometry& fvGeometry,
const ElementVolumeVariables& prevElemVolVars,
ElementVolumeVariables& curElemVolVars,
- ElementSolution& curElemSol,
ElementFluxVariablesCache& elemFluxVarsCache,
const ElementBoundaryTypes& elemBcTypes,
JacobianMatrix& matrix,
@@ -239,9 +234,13 @@ protected:
}
auto&& scv = fvGeometry.scv(globalI_);
+ auto& curSol = this->model_().curSol();
auto& curVolVars = getCurVolVars(curElemVolVars, scv);
- // save a copy of the original vol vars
- VolumeVariables origVolVars(curVolVars);
+
+ // save a copy of the original privars and vol vars in order
+ // to restore the original solution after deflection
+ auto origPriVars = curSol[globalI_];
+ auto origVolVars = curVolVars;
// derivatives in the neighbors with repect to the current elements
Dune::BlockVector<PrimaryVariables> neighborDeriv(numNeighbors);
@@ -264,11 +263,11 @@ protected:
// calculate f(x + \epsilon)
// deflect primary variables
- curElemSol[0][pvIdx] += eps;
+ curSol[globalI_][pvIdx] += eps;
delta += eps;
// update the volume variables and the flux var cache
- curVolVars.update(curElemSol, this->problem_(), element, scv);
+ curVolVars.update(this->model_().elementSolution(element, curSol), this->problem_(), element, scv);
elemFluxVarsCache.update(element, fvGeometry, curElemVolVars);
if (!isGhost)
@@ -315,11 +314,11 @@ protected:
// need to calculate f(x - \epsilon)
// deflect the primary variables
- curElemSol[0][pvIdx] -= delta + eps;
+ curSol[globalI_][pvIdx] -= delta + eps;
delta += eps;
// update the volume variables and the flux var cache
- curVolVars.update(curElemSol, this->problem_(), element, scv);
+ curVolVars.update(this->model_().elementSolution(element, curSol), this->problem_(), element, scv);
elemFluxVarsCache.update(element, fvGeometry, curElemVolVars);
if (!isGhost)
@@ -370,7 +369,7 @@ protected:
curVolVars = origVolVars;
// restore the current element solution
- curElemSol[0][pvIdx] = this->model_().curSol()[globalI_][pvIdx];
+ curSol[globalI_] = origPriVars;
// update the global jacobian matrix with the current partial derivatives
this->updateGlobalJacobian_(matrix, globalI_, globalI_, pvIdx, partialDeriv);
@@ -390,16 +389,20 @@ protected:
{
// get the elements and calculate the flux into the element in the undeflected state
auto&& scv = fvGeometry.scv(globalI_);
- const auto source = this->localResidual().computeSource(element, fvGeometry, curElemVolVars, scv);
+ auto source = this->localResidual().computeSource(element, fvGeometry, curElemVolVars, scv);
+ const auto& curVolVarsI = curElemVolVars[scv];
+ source *= -scv.volume()*curVolVarsI.extrusionFactor();
for (auto globalJ : additionalDofDependencies)
{
auto&& scvJ = fvGeometry.scv(globalJ);
auto& curVolVarsJ = getCurVolVars(curElemVolVars, scvJ);
const auto& elementJ = fvGeometry.globalFvGeometry().element(globalJ);
- auto curElemSolJ = this->model_().elementSolution(elementJ, this->model_().curSol());
+ auto& curSol = this->model_().curSol();
- // save a copy of the original vol vars
+ // save a copy of the original privars and volvars
+ // to restore original solution after deflection
+ auto origPriVars = curSol[globalJ];
auto origVolVarsJ = curVolVarsJ;
// derivatives with repect to the additional DOF we depend on
@@ -416,14 +419,16 @@ protected:
// calculate f(x + \epsilon)
// deflect primary variables
- curElemSolJ[0][pvIdx] += eps;
+ curSol[globalJ][pvIdx] += eps;
delta += eps;
// update the volume variables and the flux var cache
- curVolVarsJ.update(curElemSolJ, this->problem_(), elementJ, scvJ);
+ curVolVarsJ.update(this->model_().elementSolution(elementJ, curSol), this->problem_(), elementJ, scvJ);
// calculate the source with the deflected primary variables
- partialDeriv = this->localResidual().computeSource(element, fvGeometry, curElemVolVars, scv);
+ auto deflSource = this->localResidual().computeSource(element, fvGeometry, curElemVolVars, scv);
+ deflSource *= -scv.volume()*curVolVarsI.extrusionFactor();
+ partialDeriv = std::move(deflSource);
}
else
{
@@ -439,14 +444,16 @@ protected:
// need to calculate f(x - \epsilon)
// deflect the primary variables
- curElemSolJ[0][pvIdx] -= delta + eps;
+ curSol[globalJ][pvIdx] -= delta + eps;
delta += eps;
// update the volume variables and the flux var cache
- curVolVarsJ.update(curElemSolJ, this->problem_(), elementJ, scvJ);
+ curVolVarsJ.update(this->model_().elementSolution(elementJ, curSol), this->problem_(), elementJ, scvJ);
// calculate the source with the deflected primary variables and subtract
- partialDeriv -= this->localResidual().computeSource(element, fvGeometry, curElemVolVars, scv);
+ auto deflSource = this->localResidual().computeSource(element, fvGeometry, curElemVolVars, scv);
+ deflSource *= -scv.volume()*curVolVarsI.extrusionFactor();
+ partialDeriv -= std::move(deflSource);
}
else
{
@@ -460,12 +467,10 @@ protected:
// deflections between the two function evaluation
partialDeriv /= delta;
- // restore the original state of the scv's volume variables
+ // restore the original state of the dofs privars and the volume variables
+ curSol[globalJ] = origPriVars;
curVolVarsJ = origVolVarsJ;
- // restore the current element solution
- curElemSolJ[0][pvIdx] = this->model_().curSol()[globalJ][pvIdx];
-
// update the global jacobian matrix with the current partial derivatives
this->updateGlobalJacobian_(matrix, globalI_, globalJ, pvIdx, partialDeriv);
}
diff --git a/dumux/implicit/localjacobian.hh b/dumux/implicit/localjacobian.hh
index e28c0e92b1..31235e13bf 100644
--- a/dumux/implicit/localjacobian.hh
+++ b/dumux/implicit/localjacobian.hh
@@ -91,12 +91,8 @@ class ImplicitLocalJacobian
public:
// copying a local jacobian is not a good idea
ImplicitLocalJacobian(const ImplicitLocalJacobian &) = delete;
-
- ImplicitLocalJacobian()
- {
- Valgrind::SetUndefined(problemPtr_);
- }
-
+ // default constructor
+ ImplicitLocalJacobian() = default;
/*!
* \brief Initialize the local Jacobian object.
@@ -157,19 +153,13 @@ protected:
* \brief Returns a reference to the problem.
*/
const Problem &problem_() const
- {
- Valgrind::CheckDefined(problemPtr_);
- return *problemPtr_;
- }
+ { return *problemPtr_; }
/*!
* \brief Returns a reference to the problem.
*/
Problem &problem_()
- {
- Valgrind::CheckDefined(problemPtr_);
- return *problemPtr_;
- }
+ { return *problemPtr_; }
/*!
* \brief Returns a reference to the grid view.
diff --git a/dumux/implicit/properties.hh b/dumux/implicit/properties.hh
index 33b8e1b6e1..a4aff8cbeb 100644
--- a/dumux/implicit/properties.hh
+++ b/dumux/implicit/properties.hh
@@ -100,6 +100,10 @@ NEW_PROP_TAG(HeatConductionType); //! The type for the calculation of the heat c
NEW_PROP_TAG(SolutionDependentHeatConduction); //!< specifies if the parameters for the heat conduction fluxes depend on the solution
NEW_PROP_TAG(EvaluatePermeabilityAtScvfIP); //!< if the permeability has to be evaluated at the scvf integration point (for evaluating analytical fields)
+// specify if we evaluate the permeability in the volume (for discontinuous fields)
+// or at the scvf center for analytical permeability fields (e.g. convergence studies)
+NEW_PROP_TAG(EvaluatePermeabilityAtScvfCenter);
+
// vtk output
NEW_PROP_TAG(VtkAddVelocity); //!< specifies if an element velocity it reconstructed for the output
NEW_PROP_TAG(VtkAddProcessRank); //!< specifies if the process rank should be added the output
diff --git a/dumux/implicit/propertydefaults.hh b/dumux/implicit/propertydefaults.hh
index 7c166b62cb..318406d45b 100644
--- a/dumux/implicit/propertydefaults.hh
+++ b/dumux/implicit/propertydefaults.hh
@@ -158,7 +158,8 @@ SET_BOOL_PROP(ImplicitBase, SolutionDependentAdvection, true);
SET_BOOL_PROP(ImplicitBase, SolutionDependentMolecularDiffusion, true);
SET_BOOL_PROP(ImplicitBase, SolutionDependentHeatConduction, true);
-//! by default we consider discontinous (at scvfs) permeability fields
+//! specify if we evaluate the permeability in the volume (for discontinuous fields, default)
+//! or at the scvf center for analytical permeability fields (e.g. convergence studies)
SET_BOOL_PROP(ImplicitBase, EvaluatePermeabilityAtScvfIP, false);
//! by default, boundary conditions are not constant over time
diff --git a/dumux/mixeddimension/CMakeLists.txt b/dumux/mixeddimension/CMakeLists.txt
new file mode 100644
index 0000000000..a592084f9a
--- /dev/null
+++ b/dumux/mixeddimension/CMakeLists.txt
@@ -0,0 +1,13 @@
+add_subdirectory("embedded")
+add_subdirectory("glue")
+
+install(FILES
+assembler.hh
+bulklocaljacobian.hh
+lowdimlocaljacobian.hh
+newtoncontroller.hh
+problem.hh
+model.hh
+properties.hh
+subproblemproperties.hh
+DESTINATION ${CMAKE_INSTALL_INCLUDEDIR}/dumux/mixeddimension)
diff --git a/dumux/mixeddimension/assembler.hh b/dumux/mixeddimension/assembler.hh
new file mode 100644
index 0000000000..8c25ab1cbf
--- /dev/null
+++ b/dumux/mixeddimension/assembler.hh
@@ -0,0 +1,462 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ * See the file COPYING for full copying permissions. *
+ * *
+ * This program is free software: you can redistribute it and/or modify *
+ * it under the terms of the GNU General Public License as published by *
+ * the Free Software Foundation, either version 2 of the License, or *
+ * (at your option) any later version. *
+ * *
+ * This program is distributed in the hope that it will be useful, *
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of *
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
+ * GNU General Public License for more details. *
+ * *
+ * You should have received a copy of the GNU General Public License *
+ * along with this program. If not, see <http://www.gnu.org/licenses/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ * \ingroup MixedDimension
+ * \brief An assembler for the global Jacobian matrix for models of mixed dimension.
+ * We assume a bulk domain and a lower dimensional domain on separate grids.
+ */
+#ifndef DUMUX_MIXEDDIMENSION_ASSEMBLER_HH
+#define DUMUX_MIXEDDIMENSION_ASSEMBLER_HH
+
+#include <dune/istl/matrixindexset.hh>
+
+#include <dumux/common/exceptions.hh>
+#include <dumux/mixeddimension/properties.hh>
+
+namespace Dumux {
+
+/*!
+ * \ingroup MixedDimension
+ * \brief An assembler for the global Jacobian matrix for models of mixed dimension.
+ * We assume a bulk domain and a lower dimensional domain on separate grids.
+ */
+template<class TypeTag>
+class MixedDimensionAssembler
+{
+ using Implementation = typename GET_PROP_TYPE(TypeTag, JacobianAssembler);
+
+ using Model = typename GET_PROP_TYPE(TypeTag, Model);
+ using Problem = typename GET_PROP_TYPE(TypeTag, Problem);
+ using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+
+ // obtain the type tags of the sub problems
+ using BulkProblemTypeTag = typename GET_PROP_TYPE(TypeTag, BulkProblemTypeTag);
+ using LowDimProblemTypeTag = typename GET_PROP_TYPE(TypeTag, LowDimProblemTypeTag);
+
+ using BulkGridView = typename GET_PROP_TYPE(BulkProblemTypeTag, GridView);
+ using LowDimGridView = typename GET_PROP_TYPE(LowDimProblemTypeTag, GridView);
+
+ using BulkElement = typename BulkGridView::template Codim<0>::Entity;
+ using LowDimElement = typename LowDimGridView::template Codim<0>::Entity;
+
+ using SolutionVector = typename GET_PROP_TYPE(TypeTag, SolutionVector);
+ using JacobianMatrix = typename GET_PROP_TYPE(TypeTag, JacobianMatrix);
+ using SubProblemBlockIndices = typename GET_PROP(TypeTag, SubProblemBlockIndices);
+ using BulkMatrixBlock = typename GET_PROP(TypeTag, JacobianMatrix)::MatrixBlockBulk;
+ using BulkCouplingMatrixBlock = typename GET_PROP(TypeTag, JacobianMatrix)::MatrixBlockBulkCoupling;
+ using LowDimMatrixBlock = typename GET_PROP(TypeTag, JacobianMatrix)::MatrixBlockLowDim;
+ using LowDimCouplingMatrixBlock = typename GET_PROP(TypeTag, JacobianMatrix)::MatrixBlockLowDimCoupling;
+
+ typename SubProblemBlockIndices::BulkIdx bulkIdx;
+ typename SubProblemBlockIndices::LowDimIdx lowDimIdx;
+
+ enum {
+ bulkDim = BulkGridView::dimension,
+ lowDimDim = LowDimGridView::dimension,
+ dimWorld = BulkGridView::dimensionworld
+ };
+
+ enum {
+ bulkIsBox = GET_PROP_VALUE(BulkProblemTypeTag, ImplicitIsBox),
+ lowDimIsBox = GET_PROP_VALUE(LowDimProblemTypeTag, ImplicitIsBox)
+ };
+
+public:
+ // copying the jacobian assembler is not a good idea
+ MixedDimensionAssembler(const MixedDimensionAssembler &) = delete;
+
+ MixedDimensionAssembler() : problemPtr_(nullptr) {}
+
+ /*!
+ * \brief Initialize the jacobian assembler.
+ *
+ * At this point we can assume that all objects in the problem and
+ * the model have been allocated :. We can not assume that they are
+ * fully initialized, though.
+ *
+ * \param problem The problem object
+ */
+ void init(Problem& problem)
+ {
+ // save problem pointer
+ problemPtr_ = &problem;
+
+ // initialize the multitype matrix
+ asImp_().createMatrix_();
+
+ // initialize the jacobian matrix with zeros
+ *matrix_ = 0.0;
+
+ // allocate the residual vector (right-hand-side)
+ residual_[bulkIdx].resize(problem.model().bulkNumDofs());
+ residual_[lowDimIdx].resize(problem.model().lowDimNumDofs());
+ }
+
+ /*!
+ * \brief Assemble the global Jacobian of the residual and the residual for the current solution.
+ *
+ * The current state of affairs (esp. the previous and the current
+ * solutions) is represented by the model object.
+ */
+ void assemble()
+ {
+ bool succeeded;
+ try
+ {
+ asImp_().assemble_();
+ succeeded = true;
+ }
+ catch (Dumux::NumericalProblem &e)
+ {
+ std::cout << " caught an exception while assembling:" << e.what() << std::endl;
+ succeeded = false;
+ }
+
+ if (!succeeded)
+ DUNE_THROW(NumericalProblem, "A process did not succeed in linearizing the system");
+ }
+
+ /*!
+ * \brief Return constant reference to global Jacobian matrix.
+ */
+ const JacobianMatrix& matrix() const
+ { return *matrix_; }
+
+ JacobianMatrix& matrix()
+ { return *matrix_; }
+
+ /*!
+ * \brief Return constant reference to global residual vector.
+ */
+ const SolutionVector& residual() const
+ { return residual_; }
+
+ SolutionVector& residual()
+ { return residual_; }
+
+protected:
+ // reset the global linear system of equations.
+ void resetSystem_()
+ {
+ // reset the right hand side.
+ residual_ = 0.0;
+
+ // reset the matrix
+ *matrix_ = 0.0;
+ }
+
+ // linearize the whole system
+ void assemble_()
+ {
+ resetSystem_();
+
+ // assemble the elements of the bulk problem
+ for (const auto& element : elements(problem_().bulkGridView()))
+ problem_().model().bulkLocalJacobian().assemble(element,
+ (*matrix_)[bulkIdx][bulkIdx],
+ (*matrix_)[bulkIdx][lowDimIdx],
+ residual_[bulkIdx]);
+
+ // assemble the elements of the lowdim problem
+ for (const auto& element : elements(problem_().lowDimGridView()))
+ problem_().model().lowDimLocalJacobian().assemble(element,
+ (*matrix_)[lowDimIdx][lowDimIdx],
+ (*matrix_)[lowDimIdx][bulkIdx],
+ residual_[lowDimIdx]);
+ }
+
+ void buildBulkMatrixBlocksCC_(BulkMatrixBlock& m, BulkCouplingMatrixBlock& cm)
+ {
+ // get occupation pattern of the matrix
+ Dune::MatrixIndexSet bulkPattern, bulkCouplingPattern;
+ bulkPattern.resize(m.N(), m.M());
+ bulkCouplingPattern.resize(cm.N(), cm.M());
+
+ const auto& assemblyMap = this->problem_().bulkProblem().model().localJacobian().assemblyMap();
+ for (const auto& element : elements(problem_().bulkGridView()))
+ {
+ const auto globalI = problem_().model().bulkElementMapper().index(element);
+
+ bulkPattern.add(globalI, globalI);
+ for (const auto& dataJ : assemblyMap[globalI])
+ bulkPattern.add(dataJ.globalJ, globalI);
+
+ // reserve index for additional user defined DOF dependencies
+ const auto& additionalDofDependencies = problem_().bulkProblem().getAdditionalDofDependencies(globalI);
+ for (auto globalJ : additionalDofDependencies)
+ bulkPattern.add(globalI, globalJ);
+
+ const auto& couplingStencil = problem_().couplingManager().couplingStencil(element);
+ for (auto globalJ : couplingStencil)
+ bulkCouplingPattern.add(globalI, globalJ);
+ }
+
+ // export occupation patterns to matrices
+ bulkPattern.exportIdx(m);
+ bulkCouplingPattern.exportIdx(cm);
+ }
+
+ void buildLowDimMatrixBlocksCC_(LowDimMatrixBlock& m, LowDimCouplingMatrixBlock& cm)
+ {
+ // get occupation pattern of the matrix
+ Dune::MatrixIndexSet lowDimPattern, lowDimCouplingPattern;
+ lowDimPattern.resize(m.N(), m.M());
+ lowDimCouplingPattern.resize(cm.N(), cm.M());
+
+ const auto& assemblyMap = this->problem_().lowDimProblem().model().localJacobian().assemblyMap();
+ for (const auto& element : elements(problem_().lowDimGridView()))
+ {
+ const auto globalI = problem_().model().lowDimElementMapper().index(element);
+
+ lowDimPattern.add(globalI, globalI);
+ for (const auto& dataJ : assemblyMap[globalI])
+ lowDimPattern.add(dataJ.globalJ, globalI);
+
+ // reserve index for additional user defined DOF dependencies
+ const auto& additionalDofDependencies = problem_().lowDimProblem().getAdditionalDofDependencies(globalI);
+ for (auto globalJ : additionalDofDependencies)
+ lowDimPattern.add(globalI, globalJ);
+
+ const auto& couplingStencil = problem_().couplingManager().couplingStencil(element);
+ for (auto globalJ : couplingStencil)
+ lowDimCouplingPattern.add(globalI, globalJ);
+ }
+
+ // export occupation patterns to matrices
+ lowDimPattern.exportIdx(m);
+ lowDimCouplingPattern.exportIdx(cm);
+ }
+
+ // void buildBulkMatrixBlocksBox_(BulkMatrixBlock& m, BulkCouplingMatrixBlock& cm)
+ // {
+ // // get occupation pattern of the matrix
+ // Dune::MatrixIndexSet bulkPattern, bulkCouplingPattern;
+ // bulkPattern.resize(m.N(), m.M());
+ // bulkCouplingPattern.resize(cm.N(), cm.M());
+
+ // for (const auto& element : elements(problem_().bulkGridView()))
+ // {
+ // const auto& stencil = problem_().couplingManager().stencil(element);
+ // const auto& couplingStencil = problem_().couplingManager().couplingStencil(element);
+
+ // for (unsigned int scvIdx = 0; scvIdx < element.subEntities(bulkDim); ++scvIdx)
+ // {
+ // auto globalI = problem_().model().bulkVertexMapper().subIndex(element, scvIdx, bulkDim);
+
+ // for (auto&& globalJ : stencil)
+ // bulkPattern.add(globalI, globalJ);
+
+ // for (auto&& globalJ : couplingStencil)
+ // bulkCouplingPattern.add(globalI, globalJ);
+ // }
+ // }
+
+ // // export occupation patterns to matrices
+ // bulkPattern.exportIdx(m);
+ // bulkCouplingPattern.exportIdx(cm);
+ // }
+
+ // void buildLowDimMatrixBlocksBox_(LowDimMatrixBlock& m, LowDimCouplingMatrixBlock& cm)
+ // {
+ // // get occupation pattern of the matrix
+ // Dune::MatrixIndexSet lowDimPattern, lowDimCouplingPattern;
+ // lowDimPattern.resize(m.N(), m.M());
+ // lowDimCouplingPattern.resize(cm.N(), cm.M());
+
+ // for (const auto& element : elements(problem_().lowDimGridView()))
+ // {
+ // const auto& stencil = problem_().couplingManager().stencil(element);
+ // const auto& couplingStencil = problem_().couplingManager().couplingStencil(element);
+
+ // for (unsigned int scvIdx = 0; scvIdx < element.subEntities(lowDimDim); ++scvIdx)
+ // {
+ // auto globalI = problem_().model().lowDimVertexMapper().subIndex(element, scvIdx, lowDimDim);
+
+ // for (auto&& globalJ : stencil)
+ // lowDimPattern.add(globalI, globalJ);
+
+ // for (auto&& globalJ : couplingStencil)
+ // lowDimCouplingPattern.add(globalI, globalJ);
+ // }
+ // }
+
+ // // export occupation patterns to matrices
+ // lowDimPattern.exportIdx(m);
+ // lowDimCouplingPattern.exportIdx(cm);
+ // }
+
+ // Construct the multitype matrix for the global jacobian
+ void createMatrix_()
+ {
+ // create the multitype matrix
+ matrix_ = std::make_shared<JacobianMatrix>();
+
+ // get sub matrix sizes
+ const auto bulkSize = problem_().model().bulkNumDofs();
+ const auto lowDimSize = problem_().model().lowDimNumDofs();
+
+ // allocate the sub matrices
+ auto A11 = BulkMatrixBlock(bulkSize, bulkSize, BulkMatrixBlock::random);
+ auto A12 = BulkCouplingMatrixBlock(bulkSize, lowDimSize, BulkCouplingMatrixBlock::random);
+ auto A22 = LowDimMatrixBlock(lowDimSize, lowDimSize, LowDimMatrixBlock::random);
+ auto A21 = LowDimCouplingMatrixBlock(lowDimSize, bulkSize, LowDimCouplingMatrixBlock::random);
+
+ // cell-centered
+ if (!bulkIsBox)
+ buildBulkMatrixBlocksCC_(A11, A12);
+ else{
+ // buildBulkMatrixBlocksBox_(A11, A12);
+ }
+
+ if (!lowDimIsBox)
+ buildLowDimMatrixBlocksCC_(A22, A21);
+ else{
+ // buildLowDimMatrixBlocksBox_(A22, A21);
+ }
+
+ (*matrix_)[bulkIdx][bulkIdx] = A11;
+ (*matrix_)[bulkIdx][lowDimIdx] = A12;
+ (*matrix_)[lowDimIdx][bulkIdx] = A21;
+ (*matrix_)[lowDimIdx][lowDimIdx] = A22;
+ }
+
+ // assemble a bulk element
+ // void assembleElement_(const BulkElement &element)
+ // {
+ // problem_().model().bulkLocalJacobian().assemble(element);
+
+ // if (!bulkIsBox)
+ // {
+ // int globalI = problem_().model().bulkElementMapper().index(element);
+
+ // // update the right hand side
+ // residual_[bulkIdx][globalI] = problem_().model().bulkLocalJacobian().residual(0);
+ // for (int j = 0; j < residual_[bulkIdx][globalI].dimension; ++j)
+ // assert(std::isfinite(residual_[bulkIdx][globalI][j]));
+
+ // const auto& stencil = problem_().couplingManager().stencil(element);
+ // const auto& couplingStencil = problem_().couplingManager().couplingStencil(element);
+
+ // int j = 0;
+ // for (auto&& globalJ : stencil)
+ // (*matrix_)[bulkIdx][bulkIdx][globalI][globalJ] = problem_().model().bulkLocalJacobian().mat(bulkIdx, 0, j++);
+
+ // j = 0;
+ // for (auto&& globalJ : couplingStencil)
+ // (*matrix_)[bulkIdx][lowDimIdx][globalI][globalJ] = problem_().model().bulkLocalJacobian().mat(lowDimIdx, 0, j++);
+ // }
+ // else
+ // {
+ // const auto& stencil = problem_().couplingManager().stencil(element);
+ // const auto& couplingStencil = problem_().couplingManager().couplingStencil(element);
+
+ // for (unsigned int scvIdx = 0; scvIdx < element.subEntities(bulkDim); ++scvIdx)
+ // {
+ // auto globalI = problem_().model().bulkVertexMapper().subIndex(element, scvIdx, bulkDim);
+
+ // // update the right hand side
+ // residual_[bulkIdx][globalI] += problem_().model().bulkLocalJacobian().residual(scvIdx);
+ // for (int j = 0; j < residual_[bulkIdx][globalI].dimension; ++j)
+ // assert(std::isfinite(residual_[bulkIdx][globalI][j]));
+
+ // int j = 0;
+ // for (auto&& globalJ : stencil)
+ // (*matrix_)[bulkIdx][bulkIdx][globalI][globalJ] += problem_().model().bulkLocalJacobian().mat(bulkIdx, scvIdx, j++);
+
+ // j = 0;
+ // for (auto&& globalJ : couplingStencil)
+ // (*matrix_)[bulkIdx][lowDimIdx][globalI][globalJ] += problem_().model().bulkLocalJacobian().mat(lowDimIdx, scvIdx, j++);
+ // }
+ // }
+ // }
+
+ // // assemble a bulk element
+ // void assembleElement_(const LowDimElement &element)
+ // {
+ // problem_().model().lowDimLocalJacobian().assemble(element);
+
+ // if (!lowDimIsBox)
+ // {
+ // int globalI = problem_().model().lowDimElementMapper().index(element);
+
+ // // update the right hand side
+ // residual_[lowDimIdx][globalI] = problem_().model().lowDimLocalJacobian().residual(0);
+ // for (int j = 0; j < residual_[lowDimIdx][globalI].dimension; ++j)
+ // assert(std::isfinite(residual_[lowDimIdx][globalI][j]));
+
+ // const auto& stencil = problem_().couplingManager().stencil(element);
+ // const auto& couplingStencil = problem_().couplingManager().couplingStencil(element);
+
+ // int j = 0;
+ // for (auto&& globalJ : stencil)
+ // (*matrix_)[lowDimIdx][lowDimIdx][globalI][globalJ] = problem_().model().lowDimLocalJacobian().mat(lowDimIdx, 0, j++);
+
+ // j = 0;
+ // for (auto&& globalJ : couplingStencil)
+ // (*matrix_)[lowDimIdx][bulkIdx][globalI][globalJ] = problem_().model().lowDimLocalJacobian().mat(bulkIdx, 0, j++);
+ // }
+ // else
+ // {
+ // const auto& stencil = problem_().couplingManager().stencil(element);
+ // const auto& couplingStencil = problem_().couplingManager().couplingStencil(element);
+
+ // for (unsigned int scvIdx = 0; scvIdx < element.subEntities(lowDimDim); ++scvIdx)
+ // {
+ // auto globalI = problem_().model().lowDimVertexMapper().subIndex(element, scvIdx, lowDimDim);
+
+ // // update the right hand side
+ // residual_[lowDimIdx][globalI] += problem_().model().lowDimLocalJacobian().residual(scvIdx);
+ // for (int j = 0; j < residual_[lowDimIdx][globalI].dimension; ++j)
+ // assert(std::isfinite(residual_[lowDimIdx][globalI][j]));
+
+ // int j = 0;
+ // for (auto&& globalJ : stencil)
+ // (*matrix_)[lowDimIdx][lowDimIdx][globalI][globalJ] += problem_().model().lowDimLocalJacobian().mat(lowDimIdx, scvIdx, j++);
+
+ // j = 0;
+ // for (auto&& globalJ : couplingStencil)
+ // (*matrix_)[lowDimIdx][bulkIdx][globalI][globalJ] += problem_().model().lowDimLocalJacobian().mat(bulkIdx, scvIdx, j++);
+ // }
+ // }
+ // }
+
+ Problem &problem_()
+ { return *problemPtr_; }
+ const Problem &problem_() const
+ { return *problemPtr_; }
+
+ // the multidimension problem
+ Problem *problemPtr_;
+
+ // the jacobian matrix
+ std::shared_ptr<JacobianMatrix> matrix_;
+ // the right-hand side
+ SolutionVector residual_;
+
+private:
+ Implementation &asImp_()
+ { return *static_cast<Implementation*>(this); }
+ const Implementation &asImp_() const
+ { return *static_cast<const Implementation*>(this); }
+};
+
+} // namespace Dumux
+
+#endif
diff --git a/dumux/mixeddimension/bulklocaljacobian.hh b/dumux/mixeddimension/bulklocaljacobian.hh
new file mode 100644
index 0000000000..939132fa39
--- /dev/null
+++ b/dumux/mixeddimension/bulklocaljacobian.hh
@@ -0,0 +1,319 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ * See the file COPYING for full copying permissions. *
+ * *
+ * This program is free software: you can redistribute it and/or modify *
+ * it under the terms of the GNU General Public License as published by *
+ * the Free Software Foundation, either version 2 of the License, or *
+ * (at your option) any later version. *
+ * *
+ * This program is distributed in the hope that it will be useful, *
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of *
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
+ * GNU General Public License for more details. *
+ * *
+ * You should have received a copy of the GNU General Public License *
+ * along with this program. If not, see <http://www.gnu.org/licenses/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ * \ingroup MixedDimension
+ * \brief Caculates the Jacobian of the local residual for fully-implicit models
+ */
+#ifndef DUMUX_BULK_LOCAL_JACOBIAN_HH
+#define DUMUX_BULK_LOCAL_JACOBIAN_HH
+
+#include <dune/common/indices.hh>
+#include <dune/istl/matrix.hh>
+
+#include <dumux/common/math.hh>
+#include <dumux/common/valgrind.hh>
+
+#include <dumux/mixeddimension/properties.hh>
+
+namespace Dumux
+{
+/*!
+ * \ingroup MixedDimension
+ * \brief Calculates the Jacobian of the local residual for the bulk domain
+ *
+ * The default behavior is to use numeric differentiation, i.e.
+ * forward or backward differences (2nd order), or central
+ * differences (3rd order). The method used is determined by the
+ * "NumericDifferenceMethod" property:
+ *
+ * - if the value of this property is smaller than 0, backward
+ * differences are used, i.e.:
+ * \f[
+ \frac{\partial f(x)}{\partial x} \approx \frac{f(x) - f(x - \epsilon)}{\epsilon}
+ * \f]
+ *
+ * - if the value of this property is 0, central
+ * differences are used, i.e.:
+ * \f[
+ \frac{\partial f(x)}{\partial x} \approx \frac{f(x + \epsilon) - f(x - \epsilon)}{2 \epsilon}
+ * \f]
+ *
+ * - if the value of this property is larger than 0, forward
+ * differences are used, i.e.:
+ * \f[
+ \frac{\partial f(x)}{\partial x} \approx \frac{f(x + \epsilon) - f(x)}{\epsilon}
+ * \f]
+ *
+ * Here, \f$ f \f$ is the residual function for all equations, \f$x\f$
+ * is the value of a sub-control volume's primary variable at the
+ * evaluation point and \f$\epsilon\f$ is a small value larger than 0.
+ */
+template<class TypeTag>
+class BulkLocalJacobian : public GET_PROP_TYPE(TypeTag, BulkLocalJacobianBase)
+{
+ using ParentType = typename GET_PROP_TYPE(TypeTag, BulkLocalJacobianBase);
+ using Implementation = typename GET_PROP_TYPE(TypeTag, BulkLocalJacobian);
+ using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+ using GlobalProblem = typename GET_PROP_TYPE(TypeTag, Problem);
+ using SubProblemBlockIndices = typename GET_PROP(TypeTag, SubProblemBlockIndices);
+
+ // obtain the type tag of the bulk sub problems
+ using BulkProblemTypeTag = typename GET_PROP_TYPE(TypeTag, BulkProblemTypeTag);
+
+ // types of the bulk sub problem
+ using Problem = typename GET_PROP_TYPE(BulkProblemTypeTag, Problem);
+ using FVElementGeometry = typename GET_PROP_TYPE(BulkProblemTypeTag, FVElementGeometry);
+ using ElementSolutionVector = typename GET_PROP_TYPE(BulkProblemTypeTag, ElementSolutionVector);
+ using PrimaryVariables = typename GET_PROP_TYPE(BulkProblemTypeTag, PrimaryVariables);
+ using VolumeVariables = typename GET_PROP_TYPE(BulkProblemTypeTag, VolumeVariables);
+ using ElementVolumeVariables = typename GET_PROP_TYPE(BulkProblemTypeTag, ElementVolumeVariables);
+ using ElementFluxVariablesCache = typename GET_PROP_TYPE(BulkProblemTypeTag, ElementFluxVariablesCache);
+ using ElementBoundaryTypes = typename GET_PROP_TYPE(BulkProblemTypeTag, ElementBoundaryTypes);
+ using LocalResidual = typename GET_PROP_TYPE(BulkProblemTypeTag, LocalResidual);
+ using GridView = typename GET_PROP_TYPE(BulkProblemTypeTag, GridView);
+ using IndexType = typename GridView::IndexSet::IndexType:
+ using Element = typename GridView::template Codim<0>::Entity;
+
+ enum { dim = GridView::dimension };
+ enum { isBox = GET_PROP_VALUE(BulkProblemTypeTag, ImplicitIsBox) };
+
+ // matrix and solution types
+ using SolutionVector = typename GET_PROP_TYPE(BulkProblemTypeTag, SolutionVector);
+ using JacobianMatrix = typename GET_PROP_TYPE(TypeTag, JacobianMatrix)::MatrixBlockBulk;
+ using JacobianMatrixCoupling = typename GET_PROP_TYPE(TypeTag, JacobianMatrix)::MatrixBlockBulkCoupling;
+
+public:
+
+ // copying a local jacobian is not a good idea
+ BulkLocalJacobian(const BulkLocalJacobian &) = delete;
+
+ BulkLocalJacobian()
+ { numericDifferenceMethod_ = GET_PARAM_FROM_GROUP(TypeTag, int, Implicit, NumericDifferenceMethod); }
+
+ /*!
+ * \brief Initialize the local Jacobian object.
+ *
+ * At this point we can assume that everything has been allocated,
+ * although some objects may not yet be completely initialized.
+ *
+ * \param problem The problem which we want to simulate.
+ */
+ void init(GlobalProblem &globalProblem)
+ {
+ globalProblemPtr_ = &globalProblem;
+ ParentType::init(globalProblem.bulkProblem());
+ }
+
+ /*!
+ * \brief Assemble an element's local Jacobian matrix of the
+ * defect.
+ *
+ * \param element The DUNE Codim<0> entity which we look at.
+ */
+ void assemble(const Element &element,
+ JacobianMatrix& matrix,
+ JacobianMatrixCoupling& couplingMatrix,
+ SolutionVector& residual)
+ {
+ const bool isGhost = (element.partitionType() == Dune::GhostEntity);
+
+ // prepare the volvars/fvGeometries in case caching is disabled
+ auto fvGeometry = localView(this->model_().globalFvGeometry());
+ fvGeometry.bind(element);
+
+ auto curElemVolVars = localView(this->model_().curGlobalVolVars());
+ curElemVolVars.bind(element, fvGeometry, this->model_().curSol());
+
+ auto prevElemVolVars = localView(this->model_().prevGlobalVolVars());
+ prevElemVolVars.bindElement(element, fvGeometry, this->model_().prevSol());
+
+ auto elemFluxVarsCache = localView(this->model_().globalFluxVarsCache());
+ elemFluxVarsCache.bind(element, fvGeometry, curElemVolVars);
+
+ // set the actual dof index
+ globalI_ = this->problem_().elementMapper().index(element);
+
+ // check for boundaries on the element
+ ElementBoundaryTypes elemBcTypes;
+ elemBcTypes.update(this->problem_(), element, fvGeometry);
+
+ // The actual solution in the element
+ auto curElemSol = this->model_().elementSolution(element, this->model_().curSol());
+
+ // Evaluate the undeflected element local residual
+ this->localResidual().eval(element,
+ fvGeometry,
+ prevElemVolVars,
+ curElemVolVars,
+ elemBcTypes,
+ elemFluxVarsCache);
+ this->residual_ = this->localResidual().residual();
+
+ // calculate derivatives of all dofs in stencil with respect to the dofs in the element
+ this->evalPartialDerivatives_(element,
+ fvGeometry,
+ prevElemVolVars,
+ curElemVolVars,
+ curElemSol,
+ elemFluxVarsCache,
+ elemBcTypes,
+ matrix,
+ residual,
+ isGhost);
+
+ // compute derivatives with respect to additional user defined DOF dependencies
+ const auto& additionalDofDepedencies = this->problem_().getAdditionalDofDependencies(globalI_);
+ if (!additionalDofDepedencies.empty() && !isGhost)
+ {
+ this->evalAdditionalDerivatives_(additionalDofDepedencies,
+ element,
+ fvGeometry,
+ curElemVolVars,
+ matrix,
+ residual);
+ }
+
+ evalPartialDerivativeCoupling_(element,
+ fvGeometry,
+ curElemVolVars,
+ elemFluxVarsCache,
+ elemBcTypes,
+ couplingMatrix,
+ residual)
+ }
+
+protected:
+
+ /*!
+ * \brief Returns a reference to the problem.
+ */
+ const GlobalProblem &globalProblem_() const
+ { return *globalProblemPtr_; }
+
+ GlobalProblem &globalProblem_()
+ { return *globalProblemPtr_; }
+
+ void evalPartialDerivativeCoupling_(const Element& element,
+ const FVElementGeometry& fvGeometry,
+ ElementVolumeVariables& curElemVolVars,
+ ElementFluxVariablesCache& elemFluxVarsCache,
+ const ElementBoundaryTypes& elemBcTypes,
+ JacobianMatrixCoupling& couplingMatrix,
+ SolutionVector& residual)
+ {
+ const auto& couplingStencil = globalProblem_().couplingManager().couplingStencil(element);
+ const auto numDofsCoupling = couplingStencil.size();
+
+ for (auto globalJ : couplingStencil)
+ {
+ const auto lowDimElement = globalProblem_().lowDimProblem().model().globalFvGeometry().element(globalJ);
+ const auto& lowDimSolution = globalProblem_().lowDimProblem().model().curSol();
+ auto curElemSolLowDim = globalProblem_().lowDimProblem().model().elementSolution(lowDimElement, lowDimSolution);
+ const auto lowDimResidual = globalProblem_().couplingManager().evalCouplingResidual(element,
+ fvGeometry,
+ curElemVolVars,
+ elemBcTypes,
+ elemFluxVarsCache,
+ lowDimElement,
+ curElemSolLowDim);
+ // derivatives in the neighbors with repect to the current elements
+ PrimaryVariables partialDeriv;
+ for (int pvIdx = 0; pvIdx < numEq; pvIdx++)
+ {
+ const Scalar eps = numericEpsilon(curElemSolLowDim[0][pvIdx]);
+ Scalar delta = 0;
+
+ if (numericDifferenceMethod_ >= 0)
+ {
+ // we are not using backward differences, i.e. we need to
+ // calculate f(x + \epsilon)
+
+ // deflect primary variables
+ curElemSolLowDim[0][pvIdx] += eps;
+ delta += eps;
+
+ // calculate the residual with the deflected primary variables
+ partialDeriv = globalProblem_().couplingManager().evalCouplingResidual(element,
+ fvGeometry,
+ curElemVolVars,
+ elemBcTypes,
+ elemFluxVarsCache,
+ lowDimElement,
+ curElemSolLowDim);
+ }
+ else
+ {
+ // we are using backward differences, i.e. we don't need
+ // to calculate f(x + \epsilon) and we can recycle the
+ // (already calculated) residual f(x)
+ partialDeriv = lowDimResidual;
+ }
+
+
+ if (numericDifferenceMethod_ <= 0)
+ {
+ // we are not using forward differences, i.e. we
+ // need to calculate f(x - \epsilon)
+
+ // deflect the primary variables
+ curElemSolLowDim[0][pvIdx] -= 2*eps;
+ delta += eps;
+
+ // calculate the residual with the deflected primary variables
+ partialDeriv -= globalProblem_().couplingManager().evalCouplingResidual(element,
+ fvGeometry,
+ curElemVolVars,
+ elemBcTypes,
+ elemFluxVarsCache,
+ lowDimElement,
+ curElemSolLowDim);
+ }
+ else
+ {
+ // we are using forward differences, i.e. we don't need to
+ // calculate f(x - \epsilon) and we can recycle the
+ // (already calculated) residual f(x)
+ partialDeriv -= lowDimResidual;
+ }
+
+ // divide difference in residuals by the magnitude of the
+ // deflections between the two function evaluation
+ partialDeriv /= delta;
+
+ // restore the original state of the element solution vector
+ curElemSolLowDim[0][pvIdx] = lowDimSolution[globalJ][pvIdx];
+
+ // update the global jacobian matrix (coupling block)
+ this->updateGlobalJacobian_(couplingMatrix, globalI_, globalJ, pvIdx, partialDeriv);
+ }
+ }
+ }
+
+ // The global index of the current element
+ IndexType globalI_;
+ // The problem we would like to solve
+ GlobalProblem *globalProblemPtr_;
+ // The type of the numeric difference method (forward, center, backward)
+ int numericDifferenceMethod_;
+};
+
+} // end namespace Dumux
+
+#endif
diff --git a/dumux/mixeddimension/embedded/CMakeLists.txt b/dumux/mixeddimension/embedded/CMakeLists.txt
new file mode 100644
index 0000000000..d0b0e83c72
--- /dev/null
+++ b/dumux/mixeddimension/embedded/CMakeLists.txt
@@ -0,0 +1 @@
+#add_subdirectory("cellcentered")
diff --git a/dumux/mixeddimension/embedded/cellcentered/bboxtreecouplingmanager.hh b/dumux/mixeddimension/embedded/cellcentered/bboxtreecouplingmanager.hh
new file mode 100644
index 0000000000..fcb221eccd
--- /dev/null
+++ b/dumux/mixeddimension/embedded/cellcentered/bboxtreecouplingmanager.hh
@@ -0,0 +1,604 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ * See the file COPYING for full copying permissions. *
+ * *
+ * This program is free software: you can redistribute it and/or modify *
+ * it under the terms of the GNU General Public License as published by *
+ * the Free Software Foundation, either version 2 of the License, or *
+ * (at your option) any later version. *
+ * *
+ * This program is distributed in the hope that it will be useful, *
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of *
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
+ * GNU General Public License for more details. *
+ * *
+ * You should have received a copy of the GNU General Public License *
+ * along with this program. If not, see <http://www.gnu.org/licenses/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ * \ingroup EmbeddedCoupling
+ * \ingroup CCModel
+ * \brief Coupling manager for low-dimensional domains embedded in the bulk
+ * domain. Point sources on each integration point are computed by an AABB tree.
+ * Both domain are assumed to be discretized using a cc finite volume scheme.
+ */
+
+#ifndef DUMUX_CC_BBOXTREE_EMBEDDEDCOUPLINGMANAGER_HH
+#define DUMUX_CC_BBOXTREE_EMBEDDEDCOUPLINGMANAGER_HH
+
+#include <iostream>
+#include <fstream>
+#include <string>
+#include <utility>
+
+#include <dune/common/timer.hh>
+#include <dune/geometry/quadraturerules.hh>
+#include <dune/geometry/referenceelements.hh>
+
+#include <dumux/mixeddimension/glue/glue.hh>
+#include <dumux/mixeddimension/embedded/cellcentered/pointsourcedata.hh>
+
+namespace Dumux
+{
+
+namespace Properties
+{
+// Property forward declarations
+NEW_PROP_TAG(BulkProblemTypeTag);
+NEW_PROP_TAG(LowDimProblemTypeTag);
+NEW_PROP_TAG(GridView);
+} // namespace Properties
+
+/*!
+ * \ingroup EmbeddedCoupling
+ * \ingroup CCModel
+ * \brief Manages the coupling between bulk elements and lower dimensional elements
+ * Point sources on each integration point are computed by an AABB tree.
+ * Both domain are assumed to be discretized using a cc finite volume scheme.
+ */
+template<class TypeTag>
+class CCBBoxTreeEmbeddedCouplingManager
+{
+ using Implementation = typename GET_PROP_TYPE(TypeTag, CouplingManager);
+ using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+ using Problem = typename GET_PROP_TYPE(TypeTag, Problem);
+ using PointSourceData = Dumux::PointSourceDataCircleAverage<TypeTag>;
+
+ // obtain the type tags of the sub problems
+ using BulkProblemTypeTag = typename GET_PROP_TYPE(TypeTag, BulkProblemTypeTag);
+ using LowDimProblemTypeTag = typename GET_PROP_TYPE(TypeTag, LowDimProblemTypeTag);
+
+ using BulkGridView = typename GET_PROP_TYPE(BulkProblemTypeTag, GridView);
+ using BulkProblem = typename GET_PROP_TYPE(BulkProblemTypeTag, Problem);
+ using BulkPointSource = typename GET_PROP_TYPE(BulkProblemTypeTag, PointSource);
+ using BulkPrimaryVariables = typename GET_PROP_TYPE(BulkProblemTypeTag, PrimaryVariables);
+ using BulkElementSolutionVector = typename GET_PROP_TYPE(BulkProblemTypeTag, ElementSolutionVector);
+ using BulkVolumeVariables = typename GET_PROP_TYPE(BulkProblemTypeTag, VolumeVariables);
+ using BulkElementVolumeVariables = typename GET_PROP_TYPE(BulkProblemTypeTag, ElementVolumeVariables);
+ using BulkFVElementGeometry = typename GET_PROP_TYPE(BulkProblemTypeTag, FVElementGeometry);
+ using BulkElementBoundaryTypes = typename GET_PROP_TYPE(BulkProblemTypeTag, ElementBoundaryTypes);
+ using BulkElementFluxVariablesCache = typename GET_PROP_TYPE(BulkProblemTypeTag, ElementFluxVariablesCache);
+ using BulkElement = typename BulkGridView::template Codim<0>::Entity;
+
+ using LowDimGridView = typename GET_PROP_TYPE(LowDimProblemTypeTag, GridView);
+ using LowDimProblem = typename GET_PROP_TYPE(LowDimProblemTypeTag, Problem);
+ using LowDimPointSource = typename GET_PROP_TYPE(LowDimProblemTypeTag, PointSource);
+ using LowDimPrimaryVariables = typename GET_PROP_TYPE(LowDimProblemTypeTag, PrimaryVariables);
+ using LowDimVolumeVariables = typename GET_PROP_TYPE(BulkProblemTypeTag, VolumeVariables);
+ using LowDimElementVolumeVariables = typename GET_PROP_TYPE(LowDimProblemTypeTag, ElementVolumeVariables);
+ using LowDimFVElementGeometry = typename GET_PROP_TYPE(LowDimProblemTypeTag, FVElementGeometry);
+ using LowDimElementBoundaryTypes = typename GET_PROP_TYPE(LowDimProblemTypeTag, ElementBoundaryTypes);
+ using LowDimElementFluxVariablesCache = typename GET_PROP_TYPE(LowDimProblemTypeTag, ElementFluxVariablesCache);
+ using LowDimElement = typename LowDimGridView::template Codim<0>::Entity;
+
+ enum {
+ bulkDim = BulkGridView::dimension,
+ lowDimDim = LowDimGridView::dimension,
+ dimWorld = BulkGridView::dimensionworld
+ };
+
+ using GlobalPosition = Dune::FieldVector<Scalar, dimWorld>;
+public:
+
+ /*!
+ * \brief Constructor
+ */
+ CCBBoxTreeEmbeddedCouplingManager(BulkProblem& bulkProblem, LowDimProblem& lowDimProblem)
+ : bulkProblem_(bulkProblem), lowDimProblem_(lowDimProblem)
+ {
+ // Check if we are using the cellcentered method in both domains
+ static_assert(lowDimDim == 1, "The bounding box coupling manager only works with one-dimensional low-dim grids");
+ }
+
+ /*!
+ * \brief Methods to be accessed by the coupled problem
+ */
+ // \{
+
+ /*!
+ * \brief Called by the coupled problem before
+ * initializing the subproblems / models
+ */
+ void preInit()
+ {
+ asImp_().computePointSourceData();
+ }
+
+ /*!
+ * \brief Called by the coupled problem after
+ * initializing the subproblems / models
+ */
+ void postInit()
+ {}
+
+ /*!
+ * \brief The bulk coupling stencil, i.e. which low-dimensional dofs
+ * the given bulk element dof depends on.
+ */
+ const std::vector<unsigned int>& couplingStencil(const BulkElement& element) const
+ {
+ const unsigned int eIdx = bulkProblem().elementMapper().index(element);
+ if (bulkCouplingStencils_.count(eIdx))
+ return bulkCouplingStencils_.at(eIdx);
+ else
+ return emptyStencil_;
+ }
+
+ /*!
+ * \brief The low dim coupling stencil, i.e. which bulk dofs
+ * the given low dimensional element dof depends on.
+ */
+ const std::vector<unsigned int>& couplingStencil(const LowDimElement& element) const
+ {
+ const unsigned int eIdx = lowDimProblem().elementMapper().index(element);
+ if (lowDimCouplingStencils_.count(eIdx))
+ return lowDimCouplingStencils_.at(eIdx);
+ else
+ return emptyStencil_;
+ }
+
+ //! evaluate coupling residual for the derivative bulk DOF with respect to low dim DOF
+ //! we only need to evaluate the part of the residual that will be influence by the low dim DOF
+ BulkPrimaryVariables evalCouplingResidual(const BulkElement& element,
+ const BulkFVElementGeometry& fvGeometry,
+ const BulkElementVolumeVariables& curElemVolVars,
+ const BulkElementBoundaryTypes& elemBcTypes,
+ const BulkElementFluxVariablesCache& elemFluxVarsCache,
+ const LowDimElement& lowDimElement)
+ {
+ const auto bulkElementIdx = bulkProblem().elementMapper().index(element);
+ auto&& scv = fvGeometry.scv(bulkElementIdx);
+ auto couplingSource = bulkProblem().scvPointSources(element, fvGeometry, curElemVolVars, scv);
+ couplingSource *= -scv.volume()*curElemVolVars[scv].extrusionFactor();
+ return couplingSource;
+ }
+
+ //! evaluate coupling residual for the derivative low dim DOF with respect to bulk DOF
+ //! we only need to evaluate the part of the residual that will be influence by the bulk DOF
+ LowDimPrimaryVariables evalCouplingResidual(const LowDimElement& element,
+ const LowDimFVElementGeometry& fvGeometry,
+ const LowDimElementVolumeVariables& curElemVolVars,
+ const LowDimElementBoundaryTypes& elemBcTypes,
+ const LowDimElementFluxVariablesCache& elemFluxVarsCache,
+ const BulkElement& bulkElement)
+ {
+ const auto lowDimElementIdx = lowDimProblem().elementMapper().index(element);
+ auto&& scv = fvGeometry.scv(lowDimElementIdx);
+ auto couplingSource = lowDimProblem().scvPointSources(element, fvGeometry, curElemVolVars, scv);
+ couplingSource *= -scv.volume()*curElemVolVars[scv].extrusionFactor();
+ return couplingSource;
+ }
+
+ // \}
+
+ /* \brief Compute integration point point sources and associated data
+ *
+ * This method uses grid glue to intersect the given grids. Over each intersection
+ * we later need to integrate a source term. This method places point sources
+ * at each quadrature point and provides the point source with the necessary
+ * information to compute integrals (quadrature weight and integration element)
+ * \param order The order of the quadrature rule for integration of sources over an intersection
+ * \param verbose If the point source computation is verbose
+ */
+ void computePointSourceData(unsigned int order = 1, bool verbose = false)
+ {
+ // Initialize the bulk bounding box tree
+ const auto& bulkTree = this->bulkProblem().boundingBoxTree();
+
+ // initilize the maps
+ // do some logging and profiling
+ Dune::Timer watch;
+ std::cout << "Initializing the point sources..." << std::endl;
+
+ // clear all internal members like pointsource vectors and stencils
+ // initializes the point source id counter
+ clear();
+
+ // iterate over all lowdim elements
+ for (const auto& lowDimElement : elements(this->lowDimGridView()))
+ {
+ // get the Gaussian quadrature rule for the low dim element
+ auto lowDimGeometry = lowDimElement.geometry();
+ const auto& quad = Dune::QuadratureRules<Scalar, lowDimDim>::rule(lowDimGeometry.type(), order);
+
+ const unsigned int lowDimElementIdx = this->lowDimProblem().elementMapper().index(lowDimElement);
+
+ // apply the Gaussian quadrature rule and define point sources at each quadrature point
+ // note that the approximation is not optimal if
+ // (a) the one-dimensional elements are too large,
+ // (b) whenever a one-dimensional element is split between two or more elements,
+ // (c) when gradients of important quantities in the three-dimensional domain are large.
+
+ // iterate over all quadrature points
+ for (auto&& qp : quad)
+ {
+ // global position of the quadrature point
+ const auto globalPos = lowDimGeometry.global(qp.position());
+
+ auto bulkElementIndices = bulkTree.computeEntityCollisions(globalPos);
+
+ // do not add a point source if the qp is outside of the 3d grid
+ // this is equivalent to having a source of zero for that qp
+ if (bulkElementIndices.empty())
+ continue;
+
+ //////////////////////////////////////////////////////////
+ // get circle average connectivity and interpolation data
+ //////////////////////////////////////////////////////////
+
+ auto numIp = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, int, MixedDimension, NumCircleSegments);
+ const auto radius = this->lowDimProblem().spatialParams().radius(lowDimElementIdx);
+ const auto normal = lowDimGeometry.corner(1)-lowDimGeometry.corner(0);
+ auto length = 2*M_PI*radius/numIp;
+
+ auto circlePoints = this->getCirclePoints_(globalPos, normal, radius, numIp);
+ std::vector<Scalar> circleIpWeight;
+ std::vector<unsigned int> circleStencil;
+ for (const auto& p : circlePoints)
+ {
+ auto bulkElementIndices = bulkTree.computeEntityCollisions(p);
+ if (bulkElementIndices.empty())
+ continue;
+
+ for (auto bulkElementIdx : bulkElementIndices)
+ {
+ circleStencil.push_back(bulkElementIdx);
+ circleIpWeight.push_back(length);
+ }
+ }
+
+ // export low dim circle stencil
+ lowDimCircleStencils_[lowDimElementIdx].insert(lowDimCircleStencils_[lowDimElementIdx].end(),
+ circleStencil.begin(),
+ circleStencil.end());
+
+ for (auto bulkElementIdx : bulkElementIndices)
+ {
+ const auto id = idCounter_++;
+ const auto ie = lowDimGeometry.integrationElement(qp.position());
+ const auto qpweight = qp.weight();
+
+ this->bulkPointSources().emplace_back(globalPos, id, qpweight, ie, std::vector<unsigned int>({bulkElementIdx}));
+ this->bulkPointSources().back().setEmbeddings(bulkElementIndices.size());
+ this->lowDimPointSources().emplace_back(globalPos, id, qpweight, ie, std::vector<unsigned int>({lowDimElementIdx}));
+ this->lowDimPointSources().back().setEmbeddings(bulkElementIndices.size());
+
+ // pre compute additional data used for the evaluation of
+ // the actual solution dependent source term
+ PointSourceData psData;
+ psData.addLowDimInterpolation(lowDimElementIdx);
+ psData.addBulkInterpolation(bulkElementIdx);
+ // add data needed to compute integral over the circle
+ psData.addCircleInterpolation(circleIpWeight, circleStencil);
+
+ // publish point source data in the global vector
+ pointSourceData_.push_back(psData);
+
+ // compute the coupling stencils
+ bulkCouplingStencils_[bulkElementIdx].push_back(lowDimElementIdx);
+
+ // export bulk circle stencil
+ bulkCircleStencils_[bulkElementIdx].insert(bulkCircleStencils_[bulkElementIdx].end(),
+ circleStencil.begin(),
+ circleStencil.end());
+ }
+ }
+ }
+
+ // make the circle stencils unique
+ for (auto&& stencil : bulkCircleStencils_)
+ {
+ std::sort(stencil.second.begin(), stencil.second.end());
+ stencil.second.erase(std::unique(stencil.second.begin(), stencil.second.end()), stencil.second.end());
+ stencil.second.erase(std::remove_if(stencil.second.begin(), stencil.second.end(),
+ [&](auto i){ return i == stencil.first; }),
+ stencil.second.end());
+ }
+
+ for (auto&& stencil : lowDimCircleStencils_)
+ {
+ std::sort(stencil.second.begin(), stencil.second.end());
+ stencil.second.erase(std::unique(stencil.second.begin(), stencil.second.end()), stencil.second.end());
+ }
+
+ // coupling stencils
+ for (auto&& stencil : bulkCouplingStencils_)
+ {
+ std::sort(stencil.second.begin(), stencil.second.end());
+ stencil.second.erase(std::unique(stencil.second.begin(), stencil.second.end()), stencil.second.end());
+ }
+
+ // the low dim coupling stencil
+ for (auto&& stencil : lowDimCouplingStencils_)
+ {
+ // add the circle stencil to the coupling stencil
+ stencil.second.insert(stencil.second.end(),
+ lowDimCircleStencils_.at(stencil.first).begin(),
+ lowDimCircleStencils_.at(stencil.first).end());
+ std::sort(stencil.second.begin(), stencil.second.end());
+ stencil.second.erase(std::unique(stencil.second.begin(), stencil.second.end()), stencil.second.end());
+ }
+
+ std::cout << "took " << watch.elapsed() << " seconds." << std::endl;
+ }
+
+ /*!
+ * \brief Methods to be accessed by the subproblems
+ */
+ // \{
+
+ //! Return a reference to the bulk problem
+ Scalar radius(unsigned int id) const
+ {
+ const auto& data = pointSourceData_[id];
+ return lowDimProblem().spatialParams().radius(data.lowDimElementIdx());
+ }
+
+ //! The volume the lower dimensional domain occupies in the bulk domain element
+ // For one-dimensional low dim domain we assume radial tubes
+ Scalar lowDimVolume(const BulkElement& element) const
+ {
+ auto eIdx = bulkProblem().elementMapper().index(element);
+ return lowDimVolumeInBulkElement_[eIdx];
+ }
+
+ //! The volume fraction the lower dimensional domain occupies in the bulk domain element
+ // For one-dimensional low dim domain we assume radial tubes
+ Scalar lowDimVolumeFraction(const BulkElement& element) const
+ {
+ auto totalVolume = element.geometry().volume();
+ return asImp_().lowDimVolume(element) / totalVolume;
+ }
+
+ //! Return a reference to the pointSource data
+ const PointSourceData& pointSourceData(unsigned int id) const
+ {
+ return pointSourceData_[id];
+ }
+
+ //! Return a reference to the bulk problem
+ const BulkProblem& bulkProblem() const
+ {
+ return bulkProblem_;
+ }
+
+ //! Return a reference to the low dimensional problem
+ const LowDimProblem& lowDimProblem() const
+ {
+ return lowDimProblem_;
+ }
+
+ //! Return a reference to the bulk problem
+ BulkProblem& bulkProblem()
+ {
+ return bulkProblem_;
+ }
+
+ //! Return a reference to the low dimensional problem
+ LowDimProblem& lowDimProblem()
+ {
+ return lowDimProblem_;
+ }
+
+ //! Return a reference to the bulk problem
+ const BulkGridView& bulkGridView() const
+ {
+ return bulkProblem().gridView();
+ }
+
+ //! Return a reference to the low dimensional problem
+ const LowDimGridView& lowDimGridView() const
+ {
+ return lowDimProblem().gridView();
+ }
+
+ //! Return a reference to the point sources
+ const std::vector<BulkPointSource>& bulkPointSources() const
+ {
+ return bulkPointSources_;
+ }
+
+ //! Return a reference to the low dimensional problem
+ const std::vector<LowDimPointSource>& lowDimPointSources() const
+ {
+ return lowDimPointSources_;
+ }
+
+ //! Return data for a bulk point source with the identifier id
+ BulkPrimaryVariables bulkPriVars(unsigned int id) const
+ {
+ auto& data = pointSourceData_[id];
+ return data.interpolateBulk(bulkProblem().model().curSol());
+ }
+
+ //! Return data for a low dim point source with the identifier id
+ LowDimPrimaryVariables lowDimPriVars(unsigned int id) const
+ {
+ auto& data = pointSourceData_[id];
+ return data.interpolateLowDim(lowDimProblem().model().curSol());
+ }
+
+ //! Compute bulk volume variables for the identifier id
+ BulkVolumeVariables bulkVolVars(unsigned int id) const
+ {
+ // use circle interpolated data and construct volVar object for the interpolated privars
+ auto& data = pointSourceData_[id];
+ auto bulkPriVars = data.interpolateBulk(bulkProblem().model().curSol());
+
+ const auto element = bulkProblem().model().globalFvGeometry().element(data.bulkElementIdx());
+ auto fvGeometry = localView(bulkProblem().model().globalFvGeometry());
+ fvGeometry.bindElement(element);
+
+ BulkVolumeVariables volVars;
+ volVars.update(BulkElementSolutionVector({bulkPriVars}),
+ bulkProblem(),
+ element,
+ fvGeometry.scv(data.bulkElementIdx()));
+
+ return volVars;
+ }
+
+ //! Compute lowDim volume variables for the identifier id
+ LowDimVolumeVariables lowDimVolVars(unsigned int id) const
+ {
+ const auto& data = pointSourceData_[id];
+ const auto element = lowDimProblem().model().globalFvGeometry().element(data.lowDimElementIdx());
+ auto fvGeometry = localView(lowDimProblem().model().globalFvGeometry());
+ fvGeometry.bindElement(element);
+
+ const auto& curSol = lowDimProblem().model().curSol();
+ LowDimVolumeVariables volVars;
+ volVars.update(lowDimProblem().model().elementSolution(element, curSol),
+ lowDimProblem(),
+ element,
+ fvGeometry.scv(data.lowDimElementIdx()));
+
+ return volVars;
+ }
+ // \}
+
+ //! Clear all internal data members
+ void clear()
+ {
+ bulkPointSources_.clear();
+ lowDimPointSources_.clear();
+ pointSourceData_.clear();
+ bulkCouplingStencils_.clear();
+ lowDimCouplingStencils_.clear();
+ idCounter_ = 0;
+ }
+
+ const std::vector<unsigned int>& getAdditionalDofDependencies(unsigned int bulkElementIdx) const
+ { return bulkCircleStencils_.count(bulkElementIdx) ? bulkCircleStencils_.at(bulkElementIdx) : emptyStencil_; }
+
+protected:
+ //! Return reference to point source data vector member
+ std::vector<PointSourceData>& pointSourceData()
+ { return pointSourceData_; }
+
+ //! Return reference to bulk point sources
+ std::vector<BulkPointSource>& bulkPointSources()
+ { return bulkPointSources_; }
+
+ //! Return reference to low dim point sources
+ std::vector<LowDimPointSource>& lowDimPointSources()
+ { return lowDimPointSources_; }
+
+ //! Return reference to bulk coupling stencil member
+ std::unordered_map<unsigned int, std::vector<unsigned int> >& bulkCouplingStencils()
+ { return bulkCouplingStencils_; }
+
+ //! Return reference to low dim coupling stencil member
+ std::unordered_map<unsigned int, std::vector<unsigned int> >& lowDimCouplingStencils()
+ { return lowDimCouplingStencils_; }
+
+ //! Return a reference to an empty stencil
+ std::vector<unsigned int>& emptyStencil()
+ { return emptyStencil_; }
+
+private:
+ //! Returns the implementation of the problem (i.e. static polymorphism)
+ Implementation &asImp_()
+ { return *static_cast<Implementation *>(this); }
+
+ //! Returns the implementation of the problem (i.e. static polymorphism)
+ const Implementation &asImp_() const
+ { return *static_cast<const Implementation *>(this); }
+
+ std::vector<GlobalPosition> getCirclePoints_(const GlobalPosition& center,
+ const GlobalPosition& normal,
+ const Scalar radius,
+ const unsigned int numIp = 20)
+ {
+ const Scalar eps = 1.5e-7;
+ static_assert(dimWorld == 3, "Only implemented for world dimension 3");
+
+ std::vector<GlobalPosition> points(numIp);
+
+ // make sure n is a unit vector
+ auto n = normal;
+ n /= n.two_norm();
+
+ // caculate a vector u perpendicular to n
+ GlobalPosition u;
+ if (std::abs(n[0]) < eps && std::abs(n[1]) < eps)
+ if (std::abs(n[2]) < eps)
+ DUNE_THROW(Dune::MathError, "The normal vector has to be non-zero!");
+ else
+ u = {0, 1, 0};
+ else
+ u = {-n[1], n[0], 0};
+
+ u *= radius/u.two_norm();
+
+ // the circle parameterization is p(t) = r*cos(t)*u + r*sin(t)*(n x u) + c
+ auto tangent = crossProduct(u, n);
+ tangent *= radius/tangent.two_norm();
+
+ // the parameter with an offset
+ Scalar t = 0 + 0.1;
+ // insert the vertices
+ for (unsigned int i = 0; i < numIp; ++i)
+ {
+ points[i] = GlobalPosition({u[0]*std::cos(t) + tangent[0]*std::sin(t) + center[0],
+ u[1]*std::cos(t) + tangent[1]*std::sin(t) + center[1],
+ u[2]*std::cos(t) + tangent[2]*std::sin(t) + center[2]});
+
+ t += 2*M_PI/numIp;
+
+ // periodic t
+ if(t > 2*M_PI)
+ t -= 2*M_PI;
+ }
+
+ return points;
+ }
+
+ BulkProblem& bulkProblem_;
+ LowDimProblem& lowDimProblem_;
+
+ std::vector<BulkPointSource> bulkPointSources_;
+ std::vector<LowDimPointSource> lowDimPointSources_;
+
+ mutable std::vector<PointSourceData> pointSourceData_;
+
+ std::unordered_map<unsigned int, std::vector<unsigned int> > bulkCouplingStencils_;
+ std::unordered_map<unsigned int, std::vector<unsigned int> > lowDimCouplingStencils_;
+ std::vector<unsigned int> emptyStencil_;
+
+ // circle stencils
+ std::unordered_map<unsigned int, std::vector<unsigned int> > bulkCircleStencils_;
+ std::unordered_map<unsigned int, std::vector<unsigned int> > lowDimCircleStencils_;
+
+ //! vector for the volume fraction of the lowdim domain in the bulk domain cells
+ std::vector<Scalar> lowDimVolumeInBulkElement_;
+
+ //! id generator for point sources
+ unsigned int idCounter_;
+};
+
+} // end namespace Dumux
+
+#endif
diff --git a/dumux/mixeddimension/embedded/cellcentered/bboxtreecouplingmanagersimple.hh b/dumux/mixeddimension/embedded/cellcentered/bboxtreecouplingmanagersimple.hh
new file mode 100644
index 0000000000..2fe54b415e
--- /dev/null
+++ b/dumux/mixeddimension/embedded/cellcentered/bboxtreecouplingmanagersimple.hh
@@ -0,0 +1,498 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ * See the file COPYING for full copying permissions. *
+ * *
+ * This program is free software: you can redistribute it and/or modify *
+ * it under the terms of the GNU General Public License as published by *
+ * the Free Software Foundation, either version 2 of the License, or *
+ * (at your option) any later version. *
+ * *
+ * This program is distributed in the hope that it will be useful, *
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of *
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
+ * GNU General Public License for more details. *
+ * *
+ * You should have received a copy of the GNU General Public License *
+ * along with this program. If not, see <http://www.gnu.org/licenses/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ * \ingroup EmbeddedCoupling
+ * \ingroup CCModel
+ * \brief Coupling manager for low-dimensional domains embedded in the bulk
+ * domain. Point sources on each integration point are computed by an AABB tree.
+ * Both domain are assumed to be discretized using a cc finite volume scheme.
+ */
+
+#ifndef DUMUX_CC_BBOXTREE_EMBEDDEDCOUPLINGMANAGER_SIMPLE_HH
+#define DUMUX_CC_BBOXTREE_EMBEDDEDCOUPLINGMANAGER_SIMPLE_HH
+
+#include <iostream>
+#include <fstream>
+#include <string>
+#include <utility>
+
+#include <dune/common/timer.hh>
+#include <dune/geometry/quadraturerules.hh>
+#include <dune/geometry/referenceelements.hh>
+
+#include <dumux/mixeddimension/glue/glue.hh>
+#include <dumux/mixeddimension/embedded/cellcentered/pointsourcedata.hh>
+
+namespace Dumux
+{
+
+namespace Properties
+{
+// Property forward declarations
+NEW_PROP_TAG(BulkProblemTypeTag);
+NEW_PROP_TAG(LowDimProblemTypeTag);
+NEW_PROP_TAG(GridView);
+} // namespace Properties
+
+/*!
+ * \ingroup EmbeddedCoupling
+ * \ingroup CCModel
+ * \brief Manages the coupling between bulk elements and lower dimensional elements
+ * Point sources on each integration point are computed by an AABB tree.
+ * Both domain are assumed to be discretized using a cc finite volume scheme.
+ */
+template<class TypeTag>
+class CCBBoxTreeEmbeddedCouplingManagerSimple
+{
+ using Implementation = typename GET_PROP_TYPE(TypeTag, CouplingManager);
+ using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+ using Problem = typename GET_PROP_TYPE(TypeTag, Problem);
+ using PointSourceData = Dumux::PointSourceData<TypeTag>;
+
+ // obtain the type tags of the sub problems
+ using BulkProblemTypeTag = typename GET_PROP_TYPE(TypeTag, BulkProblemTypeTag);
+ using LowDimProblemTypeTag = typename GET_PROP_TYPE(TypeTag, LowDimProblemTypeTag);
+
+ using BulkGridView = typename GET_PROP_TYPE(BulkProblemTypeTag, GridView);
+ using BulkProblem = typename GET_PROP_TYPE(BulkProblemTypeTag, Problem);
+ using BulkPointSource = typename GET_PROP_TYPE(BulkProblemTypeTag, PointSource);
+ using BulkPrimaryVariables = typename GET_PROP_TYPE(BulkProblemTypeTag, PrimaryVariables);
+ using BulkElementSolutionVector = typename GET_PROP_TYPE(BulkProblemTypeTag, ElementSolutionVector);
+ using BulkVolumeVariables = typename GET_PROP_TYPE(BulkProblemTypeTag, VolumeVariables);
+ using BulkElementVolumeVariables = typename GET_PROP_TYPE(BulkProblemTypeTag, ElementVolumeVariables);
+ using BulkFVElementGeometry = typename GET_PROP_TYPE(BulkProblemTypeTag, FVElementGeometry);
+ using BulkElementBoundaryTypes = typename GET_PROP_TYPE(BulkProblemTypeTag, ElementBoundaryTypes);
+ using BulkElementFluxVariablesCache = typename GET_PROP_TYPE(BulkProblemTypeTag, ElementFluxVariablesCache);
+ using BulkElement = typename BulkGridView::template Codim<0>::Entity;
+
+ using LowDimGridView = typename GET_PROP_TYPE(LowDimProblemTypeTag, GridView);
+ using LowDimProblem = typename GET_PROP_TYPE(LowDimProblemTypeTag, Problem);
+ using LowDimPointSource = typename GET_PROP_TYPE(LowDimProblemTypeTag, PointSource);
+ using LowDimPrimaryVariables = typename GET_PROP_TYPE(LowDimProblemTypeTag, PrimaryVariables);
+ using LowDimVolumeVariables = typename GET_PROP_TYPE(BulkProblemTypeTag, VolumeVariables);
+ using LowDimElementVolumeVariables = typename GET_PROP_TYPE(LowDimProblemTypeTag, ElementVolumeVariables);
+ using LowDimFVElementGeometry = typename GET_PROP_TYPE(LowDimProblemTypeTag, FVElementGeometry);
+ using LowDimElementBoundaryTypes = typename GET_PROP_TYPE(LowDimProblemTypeTag, ElementBoundaryTypes);
+ using LowDimElementFluxVariablesCache = typename GET_PROP_TYPE(LowDimProblemTypeTag, ElementFluxVariablesCache);
+ using LowDimElement = typename LowDimGridView::template Codim<0>::Entity;
+
+ enum {
+ bulkDim = BulkGridView::dimension,
+ lowDimDim = LowDimGridView::dimension,
+ dimWorld = BulkGridView::dimensionworld
+ };
+
+public:
+
+ /*!
+ * \brief Constructor
+ */
+ CCBBoxTreeEmbeddedCouplingManagerSimple(BulkProblem& bulkProblem, LowDimProblem& lowDimProblem)
+ : bulkProblem_(bulkProblem), lowDimProblem_(lowDimProblem)
+ {
+ // Check if we are using the cellcentered method in both domains
+ static_assert(lowDimDim == 1, "The bounding box coupling manager only works with one-dimensional low-dim grids");
+ }
+
+ /*!
+ * \brief Methods to be accessed by the coupled problem
+ */
+ // \{
+
+ /*!
+ * \brief Called by the coupled problem before
+ * initializing the subproblems / models
+ */
+ void preInit()
+ {
+ asImp_().computePointSourceData();
+ }
+
+ /*!
+ * \brief Called by the coupled problem after
+ * initializing the subproblems / models
+ */
+ void postInit()
+ {}
+
+ /*!
+ * \brief The bulk coupling stencil, i.e. which low-dimensional dofs
+ * the given bulk element dof depends on.
+ */
+ const std::vector<unsigned int>& couplingStencil(const BulkElement& element) const
+ {
+ const unsigned int eIdx = bulkProblem().elementMapper().index(element);
+ if (bulkCouplingStencils_.count(eIdx))
+ return bulkCouplingStencils_.at(eIdx);
+ else
+ return emptyStencil_;
+ }
+
+ /*!
+ * \brief The low dim coupling stencil, i.e. which bulk dofs
+ * the given low dimensional element dof depends on.
+ */
+ const std::vector<unsigned int>& couplingStencil(const LowDimElement& element) const
+ {
+ const unsigned int eIdx = lowDimProblem().elementMapper().index(element);
+ if (lowDimCouplingStencils_.count(eIdx))
+ return lowDimCouplingStencils_.at(eIdx);
+ else
+ return emptyStencil_;
+ }
+
+ //! evaluate coupling residual for the derivative bulk DOF with respect to low dim DOF
+ //! we only need to evaluate the part of the residual that will be influence by the low dim DOF
+ BulkPrimaryVariables evalCouplingResidual(const BulkElement& element,
+ const BulkFVElementGeometry& fvGeometry,
+ const BulkElementVolumeVariables& curElemVolVars,
+ const BulkElementBoundaryTypes& elemBcTypes,
+ const BulkElementFluxVariablesCache& elemFluxVarsCache,
+ const LowDimElement& lowDimElement)
+ {
+ const auto bulkElementIdx = bulkProblem().elementMapper().index(element);
+ auto&& scv = fvGeometry.scv(bulkElementIdx);
+ auto couplingSource = bulkProblem().scvPointSources(element, fvGeometry, curElemVolVars, scv);
+ couplingSource *= -scv.volume()*curElemVolVars[scv].extrusionFactor();
+ return couplingSource;
+ }
+
+ //! evaluate coupling residual for the derivative low dim DOF with respect to bulk DOF
+ //! we only need to evaluate the part of the residual that will be influence by the bulk DOF
+ LowDimPrimaryVariables evalCouplingResidual(const LowDimElement& element,
+ const LowDimFVElementGeometry& fvGeometry,
+ const LowDimElementVolumeVariables& curElemVolVars,
+ const LowDimElementBoundaryTypes& elemBcTypes,
+ const LowDimElementFluxVariablesCache& elemFluxVarsCache,
+ const BulkElement& bulkElement)
+ {
+ const auto lowDimElementIdx = lowDimProblem().elementMapper().index(element);
+ auto&& scv = fvGeometry.scv(lowDimElementIdx);
+ auto couplingSource = lowDimProblem().scvPointSources(element, fvGeometry, curElemVolVars, scv);
+ couplingSource *= -scv.volume()*curElemVolVars[scv].extrusionFactor();
+ return couplingSource;
+ }
+
+ // \}
+
+ /* \brief Compute integration point point sources and associated data
+ *
+ * This method uses grid glue to intersect the given grids. Over each intersection
+ * we later need to integrate a source term. This method places point sources
+ * at each quadrature point and provides the point source with the necessary
+ * information to compute integrals (quadrature weight and integration element)
+ * \param order The order of the quadrature rule for integration of sources over an intersection
+ * \param verbose If the point source computation is verbose
+ */
+ void computePointSourceData(unsigned int order = 1, bool verbose = false)
+ {
+ // initilize the maps
+ // do some logging and profiling
+ Dune::Timer watch;
+ std::cout << "Initializing the point sources..." << std::endl;
+
+ // clear all internal members like pointsource vectors and stencils
+ // initializes the point source id counter
+ clear();
+
+ // a vector for the volumes the low-dim domain occupies in the bulk domain if it were full-dimensional
+ lowDimVolumeInBulkElement_.resize(this->bulkGridView().size(0));
+
+ // intersect the bounding box trees
+ Dumux::CCMultiDimensionGlue<TypeTag> glue(bulkProblem(), lowDimProblem());
+ glue.build();
+
+ for (const auto& is : intersections(glue))
+ {
+ // all inside elements are identical...
+ const auto& inside = is.inside(0);
+ // get the intersection geometry for integrating over it
+ const auto intersectionGeometry = is.geometry();
+
+ // get the Gaussian quadrature rule for the local intersection
+ const auto& quad = Dune::QuadratureRules<Scalar, lowDimDim>::rule(intersectionGeometry.type(), order);
+ const unsigned int lowDimElementIdx = lowDimProblem().elementMapper().index(inside);
+
+ // compute the volume the low-dim domain occupies in the bulk domain if it were full-dimensional
+ const auto radius = lowDimProblem().spatialParams().radius(lowDimElementIdx);
+ for (unsigned int outsideIdx = 0; outsideIdx < is.neighbor(0); ++outsideIdx)
+ {
+ const auto& outside = is.outside(outsideIdx);
+ const unsigned int bulkElementIdx = bulkProblem().elementMapper().index(outside);
+ lowDimVolumeInBulkElement_[bulkElementIdx] += intersectionGeometry.volume()*M_PI*radius*radius;
+ }
+
+ // iterate over all quadrature points
+ for (auto&& qp : quad)
+ {
+ // compute the coupling stencils
+ for (unsigned int outsideIdx = 0; outsideIdx < is.neighbor(0); ++outsideIdx)
+ {
+ const auto& outside = is.outside(outsideIdx);
+ const unsigned int bulkElementIdx = bulkProblem().elementMapper().index(outside);
+
+ // each quadrature point will be a point source for the sub problem
+ const auto globalPos = intersectionGeometry.global(qp.position());
+ const auto id = idCounter_++;
+ const auto qpweight = qp.weight();
+ const auto ie = intersectionGeometry.integrationElement(qp.position());
+ bulkPointSources_.emplace_back(globalPos, id, qpweight, ie, std::vector<unsigned int>({bulkElementIdx}));
+ bulkPointSources_.back().setEmbeddings(is.neighbor(0));
+ lowDimPointSources_.emplace_back(globalPos, id, qpweight, ie, std::vector<unsigned int>({lowDimElementIdx}));
+ lowDimPointSources_.back().setEmbeddings(is.neighbor(0));
+
+ // pre compute additional data used for the evaluation of
+ // the actual solution dependent source term
+ PointSourceData psData;
+ psData.addLowDimInterpolation(lowDimElementIdx);
+ psData.addBulkInterpolation(bulkElementIdx);
+
+ // publish point source data in the global vector
+ pointSourceData_.push_back(psData);
+
+ // compute the coupling stencils
+ bulkCouplingStencils_[bulkElementIdx].push_back(lowDimElementIdx);
+ // add this bulk element to the low dim coupling stencil
+ lowDimCouplingStencils_[lowDimElementIdx].push_back(bulkElementIdx);
+ }
+ }
+ }
+
+ // coupling stencils
+ for (auto&& stencil : bulkCouplingStencils_)
+ {
+ std::sort(stencil.second.begin(), stencil.second.end());
+ stencil.second.erase(std::unique(stencil.second.begin(), stencil.second.end()), stencil.second.end());
+ }
+ // the low dim coupling stencil
+ for (auto&& stencil : lowDimCouplingStencils_)
+ {
+ std::sort(stencil.second.begin(), stencil.second.end());
+ stencil.second.erase(std::unique(stencil.second.begin(), stencil.second.end()), stencil.second.end());
+ }
+
+ std::cout << "took " << watch.elapsed() << " seconds." << std::endl;
+ }
+
+ /*!
+ * \brief Methods to be accessed by the subproblems
+ */
+ // \{
+
+ //! Return a reference to the bulk problem
+ Scalar radius(unsigned int id) const
+ {
+ const auto& data = pointSourceData_[id];
+ return lowDimProblem().spatialParams().radius(data.lowDimElementIdx());
+ }
+
+ //! The volume the lower dimensional domain occupies in the bulk domain element
+ // For one-dimensional low dim domain we assume radial tubes
+ Scalar lowDimVolume(const BulkElement& element) const
+ {
+ auto eIdx = bulkProblem().elementMapper().index(element);
+ return lowDimVolumeInBulkElement_[eIdx];
+ }
+
+ //! The volume fraction the lower dimensional domain occupies in the bulk domain element
+ // For one-dimensional low dim domain we assume radial tubes
+ Scalar lowDimVolumeFraction(const BulkElement& element) const
+ {
+ auto totalVolume = element.geometry().volume();
+ return asImp_().lowDimVolume(element) / totalVolume;
+ }
+
+ //! Return a reference to the pointSource data
+ const PointSourceData& pointSourceData(unsigned int id) const
+ {
+ return pointSourceData_[id];
+ }
+
+ //! Return a reference to the bulk problem
+ const BulkProblem& bulkProblem() const
+ {
+ return bulkProblem_;
+ }
+
+ //! Return a reference to the low dimensional problem
+ const LowDimProblem& lowDimProblem() const
+ {
+ return lowDimProblem_;
+ }
+
+ //! Return a reference to the bulk problem
+ BulkProblem& bulkProblem()
+ {
+ return bulkProblem_;
+ }
+
+ //! Return a reference to the low dimensional problem
+ LowDimProblem& lowDimProblem()
+ {
+ return lowDimProblem_;
+ }
+
+ //! Return a reference to the bulk problem
+ const BulkGridView& bulkGridView() const
+ {
+ return bulkProblem().gridView();
+ }
+
+ //! Return a reference to the low dimensional problem
+ const LowDimGridView& lowDimGridView() const
+ {
+ return lowDimProblem().gridView();
+ }
+
+ //! Return a reference to the point sources
+ const std::vector<BulkPointSource>& bulkPointSources() const
+ {
+ return bulkPointSources_;
+ }
+
+ //! Return a reference to the low dimensional problem
+ const std::vector<LowDimPointSource>& lowDimPointSources() const
+ {
+ return lowDimPointSources_;
+ }
+
+ //! Return data for a bulk point source with the identifier id
+ BulkPrimaryVariables bulkPriVars(unsigned int id) const
+ {
+ auto& data = pointSourceData_[id];
+ return data.interpolateBulk(bulkProblem().model().curSol());
+ }
+
+ //! Return data for a low dim point source with the identifier id
+ LowDimPrimaryVariables lowDimPriVars(unsigned int id) const
+ {
+ auto& data = pointSourceData_[id];
+ return data.interpolateLowDim(lowDimProblem().model().curSol());
+ }
+
+ //! Compute bulk volume variables for the identifier id
+ BulkVolumeVariables bulkVolVars(unsigned int id) const
+ {
+ // use circle interpolated data and construct volVar object for the interpolated privars
+ auto& data = pointSourceData_[id];
+ auto bulkPriVars = data.interpolateBulk(bulkProblem().model().curSol());
+
+ const auto element = bulkProblem().model().globalFvGeometry().element(data.bulkElementIdx());
+ auto fvGeometry = localView(bulkProblem().model().globalFvGeometry());
+ fvGeometry.bindElement(element);
+
+ BulkVolumeVariables volVars;
+ volVars.update(BulkElementSolutionVector({bulkPriVars}),
+ bulkProblem(),
+ element,
+ fvGeometry.scv(data.bulkElementIdx()));
+
+ return volVars;
+ }
+
+ //! Compute lowDim volume variables for the identifier id
+ LowDimVolumeVariables lowDimVolVars(unsigned int id) const
+ {
+ const auto& data = pointSourceData_[id];
+ const auto element = lowDimProblem().model().globalFvGeometry().element(data.lowDimElementIdx());
+ auto fvGeometry = localView(lowDimProblem().model().globalFvGeometry());
+ fvGeometry.bindElement(element);
+
+ const auto& curSol = lowDimProblem().model().curSol();
+ LowDimVolumeVariables volVars;
+ volVars.update(lowDimProblem().model().elementSolution(element, curSol),
+ lowDimProblem(),
+ element,
+ fvGeometry.scv(data.lowDimElementIdx()));
+
+ return volVars;
+ }
+ // \}
+
+ //! Clear all internal data members
+ void clear()
+ {
+ bulkPointSources_.clear();
+ lowDimPointSources_.clear();
+ pointSourceData_.clear();
+ bulkCouplingStencils_.clear();
+ lowDimCouplingStencils_.clear();
+ idCounter_ = 0;
+ }
+
+ const std::vector<unsigned int>& getAdditionalDofDependencies(unsigned int bulkElementIdx) const
+ { return emptyStencil_; }
+
+protected:
+ //! Return reference to point source data vector member
+ std::vector<PointSourceData>& pointSourceData()
+ { return pointSourceData_; }
+
+ //! Return reference to bulk point sources
+ std::vector<BulkPointSource>& bulkPointSources()
+ { return bulkPointSources_; }
+
+ //! Return reference to low dim point sources
+ std::vector<LowDimPointSource>& lowDimPointSources()
+ { return lowDimPointSources_; }
+
+ //! Return reference to bulk coupling stencil member
+ std::unordered_map<unsigned int, std::vector<unsigned int> >& bulkCouplingStencils()
+ { return bulkCouplingStencils_; }
+
+ //! Return reference to low dim coupling stencil member
+ std::unordered_map<unsigned int, std::vector<unsigned int> >& lowDimCouplingStencils()
+ { return lowDimCouplingStencils_; }
+
+ //! Return a reference to an empty stencil
+ std::vector<unsigned int>& emptyStencil()
+ { return emptyStencil_; }
+
+private:
+ //! Returns the implementation of the problem (i.e. static polymorphism)
+ Implementation &asImp_()
+ { return *static_cast<Implementation *>(this); }
+
+ //! Returns the implementation of the problem (i.e. static polymorphism)
+ const Implementation &asImp_() const
+ { return *static_cast<const Implementation *>(this); }
+
+ BulkProblem& bulkProblem_;
+ LowDimProblem& lowDimProblem_;
+
+ std::vector<BulkPointSource> bulkPointSources_;
+ std::vector<LowDimPointSource> lowDimPointSources_;
+
+ mutable std::vector<PointSourceData> pointSourceData_;
+
+ std::unordered_map<unsigned int, std::vector<unsigned int> > bulkCouplingStencils_;
+ std::unordered_map<unsigned int, std::vector<unsigned int> > lowDimCouplingStencils_;
+ std::vector<unsigned int> emptyStencil_;
+
+ //! vector for the volume fraction of the lowdim domain in the bulk domain cells
+ std::vector<Scalar> lowDimVolumeInBulkElement_;
+
+ //! id generator for point sources
+ unsigned int idCounter_;
+};
+
+} // end namespace Dumux
+
+#endif
diff --git a/dumux/mixeddimension/embedded/cellcentered/pointsourcedata.hh b/dumux/mixeddimension/embedded/cellcentered/pointsourcedata.hh
new file mode 100644
index 0000000000..5c92be4746
--- /dev/null
+++ b/dumux/mixeddimension/embedded/cellcentered/pointsourcedata.hh
@@ -0,0 +1,259 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ * See the file COPYING for full copying permissions. *
+ * *
+ * This program is free software: you can redistribute it and/or modify *
+ * it under the terms of the GNU General Public License as published by *
+ * the Free Software Foundation, either version 2 of the License, or *
+ * (at your option) any later version. *
+ * *
+ * This program is distributed in the hope that it will be useful, *
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of *
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
+ * GNU General Public License for more details. *
+ * *
+ * You should have received a copy of the GNU General Public License *
+ * along with this program. If not, see <http://www.gnu.org/licenses/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ * \ingroup EmbeddedCoupling
+ * \brief Data associated with a point source
+ */
+
+#ifndef DUMUX_POINTSOURCEDATA_HH
+#define DUMUX_POINTSOURCEDATA_HH
+
+namespace Dumux
+{
+
+namespace Properties
+{
+// Property forward declarations
+NEW_PROP_TAG(BulkProblemTypeTag);
+NEW_PROP_TAG(LowDimProblemTypeTag);
+NEW_PROP_TAG(Scalar);
+NEW_PROP_TAG(PrimaryVariables);
+} // namespace Properties
+
+
+/*!
+ * \ingroup EmbeddedCoupling
+ * \brief A point source data class used for integration in multidimension models
+ * \note The point source and related data are connected via an identifier (id)
+ */
+template<class TypeTag>
+class PointSourceData
+{
+ typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+ typedef typename std::vector<Dune::FieldVector<Scalar, 1> > ShapeValues;
+
+ // obtain the type tags of the sub problems
+ typedef typename GET_PROP_TYPE(TypeTag, BulkProblemTypeTag) BulkProblemTypeTag;
+ typedef typename GET_PROP_TYPE(TypeTag, LowDimProblemTypeTag) LowDimProblemTypeTag;
+
+ typedef typename GET_PROP_TYPE(BulkProblemTypeTag, PrimaryVariables) BulkPrimaryVariables;
+ typedef typename GET_PROP_TYPE(LowDimProblemTypeTag, PrimaryVariables) LowDimPrimaryVariables;
+
+ typedef typename GET_PROP_TYPE(BulkProblemTypeTag, SolutionVector) BulkSolutionVector;
+ typedef typename GET_PROP_TYPE(LowDimProblemTypeTag, SolutionVector) LowDimSolutionVector;
+
+ enum {
+ bulkIsBox = GET_PROP_VALUE(BulkProblemTypeTag, ImplicitIsBox),
+ lowDimIsBox = GET_PROP_VALUE(LowDimProblemTypeTag, ImplicitIsBox)
+ };
+
+public:
+ void addBulkInterpolation(const ShapeValues& shapeValues,
+ const std::vector<unsigned int>& cornerIndices,
+ unsigned int eIdx)
+ {
+ bulkElementIdx_ = eIdx;
+ bulkCornerIndices_ = cornerIndices;
+ bulkShapeValues_ = shapeValues;
+ }
+
+ void addLowDimInterpolation(const ShapeValues& shapeValues,
+ const std::vector<unsigned int>& cornerIndices,
+ unsigned int eIdx)
+ {
+ lowDimElementIdx_ = eIdx;
+ lowDimCornerIndices_ = cornerIndices;
+ lowDimShapeValues_ = shapeValues;
+ }
+
+ void addBulkInterpolation(unsigned int eIdx)
+ {
+ bulkElementIdx_ = eIdx;
+ }
+
+ void addLowDimInterpolation(unsigned int eIdx)
+ {
+ lowDimElementIdx_ = eIdx;
+ }
+
+ BulkPrimaryVariables interpolateBulk(const BulkSolutionVector& sol)
+ {
+ BulkPrimaryVariables bulkPriVars(0.0);
+ if (bulkIsBox)
+ {
+ for (unsigned int i = 0; i < bulkCornerIndices_.size(); ++i)
+ for (unsigned int priVarIdx = 0; priVarIdx < bulkPriVars_.size(); ++priVarIdx)
+ bulkPriVars_[priVarIdx] += sol[bulkCornerIndices_[i]][priVarIdx]*bulkShapeValues_[i];
+ }
+ else
+ {
+ bulkPriVars = sol[bulkElementIdx()];
+ }
+ return bulkPriVars;
+ }
+
+ LowDimPrimaryVariables interpolateLowDim(const LowDimSolutionVector& sol)
+ {
+ LowDimPrimaryVariables lowDimPriVars(0.0);
+ if (lowDimIsBox)
+ {
+ for (unsigned int i = 0; i < lowDimCornerIndices_.size(); ++i)
+ for (unsigned int priVarIdx = 0; priVarIdx < lowDimPriVars_.size(); ++priVarIdx)
+ lowDimPriVars_[priVarIdx] += sol[lowDimCornerIndices_[i]][priVarIdx]*lowDimShapeValues_[i];
+ }
+ else
+ {
+ lowDimPriVars = sol[lowDimElementIdx()];
+ }
+ return lowDimPriVars;
+ }
+
+ unsigned int lowDimElementIdx() const
+ { return lowDimElementIdx_; }
+
+ unsigned int bulkElementIdx() const
+ { return bulkElementIdx_; }
+
+private:
+ ShapeValues bulkShapeValues_, lowDimShapeValues_;
+ std::vector<unsigned int> bulkCornerIndices_, lowDimCornerIndices_;
+ BulkPrimaryVariables bulkPriVars_;
+ LowDimPrimaryVariables lowDimPriVars_;
+ unsigned int lowDimElementIdx_;
+ unsigned int bulkElementIdx_;
+};
+
+/*!
+ * \ingroup EmbeddedCoupling
+ * \brief A point source data class used for integration in multidimension models
+ * \note The point source and related data are connected via an identifier (id)
+ * When explicitly computing the circle average, i.e. the pressure for
+ * the source term is computed as an integral over the circle describing
+ * the surface of the one-dimensional tube. This exact determination of the bulk pressure
+ * is necessary for convergence studies.
+ */
+template<class TypeTag>
+class PointSourceDataCircleAverage : public PointSourceData<TypeTag>
+{
+ using ParentType = PointSourceData<TypeTag>;
+ typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+ typedef typename std::vector<Dune::FieldVector<Scalar, 1> > ShapeValues;
+
+ // obtain the type tags of the sub problems
+ typedef typename GET_PROP_TYPE(TypeTag, BulkProblemTypeTag) BulkProblemTypeTag;
+ typedef typename GET_PROP_TYPE(TypeTag, LowDimProblemTypeTag) LowDimProblemTypeTag;
+
+ typedef typename GET_PROP_TYPE(BulkProblemTypeTag, PrimaryVariables) BulkPrimaryVariables;
+ typedef typename GET_PROP_TYPE(LowDimProblemTypeTag, PrimaryVariables) LowDimPrimaryVariables;
+
+ typedef typename GET_PROP_TYPE(BulkProblemTypeTag, SolutionVector) BulkSolutionVector;
+ typedef typename GET_PROP_TYPE(LowDimProblemTypeTag, SolutionVector) LowDimSolutionVector;
+
+ enum {
+ bulkIsBox = GET_PROP_VALUE(BulkProblemTypeTag, ImplicitIsBox),
+ lowDimIsBox = GET_PROP_VALUE(LowDimProblemTypeTag, ImplicitIsBox)
+ };
+
+public:
+ PointSourceDataCircleAverage() : enableBulkCircleInterpolation_(false) {}
+
+ BulkPrimaryVariables interpolateBulk(const BulkSolutionVector& sol)
+ {
+ // bulk interpolation on the circle is only enabled for source in the
+ // lower dimensional domain if we use a circle distributed bulk sources
+ // (see coupling manager circle sources)
+ BulkPrimaryVariables bulkPriVars(0.0);
+ if (enableBulkCircleInterpolation_)
+ {
+ // compute the average of the bulk pressure over the circle around the integration point
+ // this computes $\bar{p} = \frac{1}{2\pi R} int_0^2*\pi p R \text{d}\theta.
+ if (bulkIsBox)
+ {
+ assert(circleCornerIndices_.size() == circleShapeValues_.size());
+
+ Scalar weightSum = 0.0;
+ for (unsigned int j = 0; j < circleStencil_.size(); ++j)
+ {
+ BulkPrimaryVariables priVars = 0.0;
+ for (unsigned int i = 0; i < circleCornerIndices_[j].size(); ++i)
+ for (unsigned int priVarIdx = 0; priVarIdx < priVars.size(); ++priVarIdx)
+ priVars[priVarIdx] += sol[circleCornerIndices_[j][i]][priVarIdx]*circleShapeValues_[j][i];
+ // multiply with weight and add
+ priVars *= circleIpWeight_[j];
+ weightSum += circleIpWeight_[j];
+ bulkPriVars += priVars;
+ }
+ bulkPriVars /= weightSum;
+ }
+ else
+ {
+ Scalar weightSum = 0.0;
+ for (unsigned int j = 0; j < circleStencil_.size(); ++j)
+ {
+ bulkPriVars += sol[circleStencil_[j]]*circleIpWeight_[j];
+ weightSum += circleIpWeight_[j];
+ }
+ bulkPriVars /= weightSum;
+ }
+ return bulkPriVars;
+ }
+ else
+ {
+ return ParentType::interpolateBulk(sol);
+ }
+ }
+
+ void addCircleInterpolation(const std::vector<std::vector<unsigned int> >& circleCornerIndices,
+ const std::vector<ShapeValues>& circleShapeValues,
+ const std::vector<Scalar>& circleIpWeight,
+ const std::vector<unsigned int>& circleStencil)
+ {
+ circleCornerIndices_ = circleCornerIndices;
+ circleShapeValues_ = circleShapeValues;
+ circleIpWeight_ = circleIpWeight;
+ circleStencil_ = circleStencil;
+ enableBulkCircleInterpolation_ = true;
+
+ }
+
+ void addCircleInterpolation(const std::vector<Scalar>& circleIpWeight,
+ const std::vector<unsigned int>& circleStencil)
+ {
+ circleIpWeight_ = circleIpWeight;
+ circleStencil_ = circleStencil;
+ enableBulkCircleInterpolation_ = true;
+ }
+
+ const std::vector<unsigned int>& circleStencil()
+ {
+ return circleStencil_;
+ }
+
+private:
+ std::vector<std::vector<unsigned int> > circleCornerIndices_;
+ std::vector<ShapeValues> circleShapeValues_;
+ std::vector<Scalar> circleIpWeight_;
+ std::vector<unsigned int> circleStencil_;
+ bool enableBulkCircleInterpolation_;
+};
+
+} // end namespace Dumux
+
+#endif
diff --git a/dumux/mixeddimension/embedded/start.hh b/dumux/mixeddimension/embedded/start.hh
new file mode 100644
index 0000000000..5e49a74b98
--- /dev/null
+++ b/dumux/mixeddimension/embedded/start.hh
@@ -0,0 +1,203 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ * See the file COPYING for full copying permissions. *
+ * *
+ * This program is free software: you can redistribute it and/or modify *
+ * it under the terms of the GNU General Public License as published by *
+ * the Free Software Foundation, either version 2 of the License, or *
+ * (at your option) any later version. *
+ * *
+ * This program is distributed in the hope that it will be useful, *
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of *
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
+ * GNU General Public License for more details. *
+ * *
+ * You should have received a copy of the GNU General Public License *
+ * along with this program. If not, see <http://www.gnu.org/licenses/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ * \ingroup EmbeddedCoupling
+ * \brief Provides a starting algorithm (a default main function) for multidimension problems
+ */
+#ifndef DUMUX_START_EMBEDDED_MIXEDDIMENSION_HH
+#define DUMUX_START_EMBEDDED_MIXEDDIMENSION_HH
+
+#include <ctime>
+#include <iostream>
+
+#include <dune/common/parallel/mpihelper.hh>
+#include <dune/grid/io/file/dgfparser/dgfexception.hh>
+
+#include <dumux/common/propertysystem.hh>
+#include <dumux/common/parameters.hh>
+#include <dumux/common/valgrind.hh>
+#include <dumux/common/dumuxmessage.hh>
+#include <dumux/common/defaultusagemessage.hh>
+#include <dumux/common/parameterparser.hh>
+
+namespace Dumux
+{
+// forward declaration of property tags
+namespace Properties
+{
+NEW_PROP_TAG(Scalar);
+NEW_PROP_TAG(GridCreator);
+NEW_PROP_TAG(Problem);
+NEW_PROP_TAG(TimeManager);
+NEW_PROP_TAG(LowDimProblemTypeTag);
+NEW_PROP_TAG(BulkProblemTypeTag);
+}
+
+template <class TypeTag>
+int start_(int argc,
+ char **argv,
+ void (*usage)(const char *, const std::string &))
+{
+ using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+ using ParameterTree = typename GET_PROP(TypeTag, ParameterTree);
+ using BulkProblemTypeTag = typename GET_PROP_TYPE(TypeTag, BulkProblemTypeTag);
+ using LowDimProblemTypeTag = typename GET_PROP_TYPE(TypeTag, LowDimProblemTypeTag);
+ using BulkGridCreator = typename GET_PROP_TYPE(BulkProblemTypeTag, GridCreator);
+ using LowDimGridCreator = typename GET_PROP_TYPE(LowDimProblemTypeTag, GridCreator);
+ using Problem = typename GET_PROP_TYPE(TypeTag, Problem);
+ using TimeManager = typename GET_PROP_TYPE(TypeTag, TimeManager);
+
+ // initialize MPI, finalize is done automatically on exit
+ const auto& mpiHelper = Dune::MPIHelper::instance(argc, argv);
+
+ // print dumux start message
+ if (mpiHelper.rank() == 0)
+ DumuxMessage::print(/*firstCall=*/true);
+
+ ////////////////////////////////////////////////////////////
+ // parse the command line arguments and input file
+ ////////////////////////////////////////////////////////////
+
+ // if the user just wanted to see the help / usage message show usage and stop program
+ if(!ParameterParser::parseCommandLineArguments(argc, argv, ParameterTree::tree(), usage))
+ {
+ usage(argv[0], defaultUsageMessage(argv[0]));
+ return 0;
+ }
+
+ // parse the input file into the parameter tree
+ // check first if the user provided an input file through the command line, if not use the default
+ const auto parameterFileName = ParameterTree::tree().hasKey("ParameterFile") ? GET_RUNTIME_PARAM(TypeTag, std::string, ParameterFile) : "";
+ ParameterParser::parseInputFile(argc, argv, ParameterTree::tree(), parameterFileName, usage);
+
+ ////////////////////////////////////////////////////////////
+ // check for some user debugging parameters
+ ////////////////////////////////////////////////////////////
+
+ bool printProps = false; // per default don't print all properties
+ if (ParameterTree::tree().hasKey("PrintProperties") || ParameterTree::tree().hasKey("TimeManager.PrintProperties"))
+ printProps = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, bool, TimeManager, PrintProperties);
+
+ if (printProps && mpiHelper.rank() == 0)
+ Properties::print<TypeTag>();
+
+ bool printParams = true; // per default print all properties
+ if (ParameterTree::tree().hasKey("PrintParameters") || ParameterTree::tree().hasKey("TimeManager.PrintParameters"))
+ printParams = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, bool, TimeManager, PrintParameters);
+
+ //////////////////////////////////////////////////////////////////////
+ // try to create a grid (from the given grid file or the input file)
+ /////////////////////////////////////////////////////////////////////
+
+ try { BulkGridCreator::makeGrid(); }
+ catch (...) {
+ std::string usageMessage = "\n\t -> Creation of the bulk grid failed! <- \n\n";
+ usageMessage += defaultUsageMessage(argv[0]);
+ usage(argv[0], usageMessage);
+ throw;
+ }
+ BulkGridCreator::loadBalance();
+
+ try { LowDimGridCreator::makeGrid(); }
+ catch (...) {
+ std::string usageMessage = "\n\t -> Creation of the low dim grid failed! <- \n\n";
+ usageMessage += defaultUsageMessage(argv[0]);
+ usage(argv[0], usageMessage);
+ throw;
+ }
+ LowDimGridCreator::loadBalance();
+
+
+ //////////////////////////////////////////////////////////////////////
+ // run the simulation
+ /////////////////////////////////////////////////////////////////////
+
+ // read the initial time step and the end time (mandatory parameters)
+ auto tEnd = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, TimeManager, TEnd);
+ auto dt = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, TimeManager, DtInitial);
+
+ // check if we are about to restart a previously interrupted simulation
+ bool restart = false;
+ Scalar restartTime = 0;
+ if (ParameterTree::tree().hasKey("Restart") || ParameterTree::tree().hasKey("TimeManager.Restart"))
+ {
+ restart = true;
+ restartTime = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, TimeManager, Restart);
+ }
+
+ // instantiate and run the concrete problem
+ TimeManager timeManager;
+ Problem problem(timeManager, BulkGridCreator::grid().leafGridView(), LowDimGridCreator::grid().leafGridView());
+ timeManager.init(problem, restartTime, dt, tEnd, restart);
+ timeManager.run();
+
+ // print dumux end message and maybe the parameters for debugging
+ if (mpiHelper.rank() == 0)
+ {
+ DumuxMessage::print(/*firstCall=*/false);
+
+ if (printParams)
+ Parameters::print<TypeTag>();
+ }
+
+ return 0;
+}
+
+/*!
+ * \ingroup Start
+ *
+ * \brief Provides a main function with error handling
+ *
+ * \tparam TypeTag The type tag of the problem which needs to be solved
+ *
+ * \param argc The number of command line arguments of the program
+ * \param argv The contents of the command line arguments of the program
+ * \param usage Callback function for printing the usage message
+ */
+template <class TypeTag>
+int start(int argc,
+ char **argv,
+ void (*usage)(const char *, const std::string &))
+{
+ try {
+ return start_<TypeTag>(argc, argv, usage);
+ }
+ catch (ParameterException &e) {
+ Parameters::print<TypeTag>();
+ std::cerr << std::endl << e << ". Abort!" << std::endl;
+ return 1;
+ }
+ catch (Dune::DGFException & e) {
+ std::cerr << "DGF exception thrown (" << e <<
+ "). Most likely, the DGF file name is wrong "
+ "or the DGF file is corrupted, "
+ "e.g. missing hash at end of file or wrong number (dimensions) of entries."
+ << std::endl;
+ return 2;
+ }
+ catch (Dune::Exception &e) {
+ std::cerr << "Dune reported error: " << e << std::endl;
+ return 3;
+ }
+}
+
+} // end namespace Dumux
+
+#endif
diff --git a/dumux/mixeddimension/glue/CMakeLists.txt b/dumux/mixeddimension/glue/CMakeLists.txt
new file mode 100644
index 0000000000..726d4493a6
--- /dev/null
+++ b/dumux/mixeddimension/glue/CMakeLists.txt
@@ -0,0 +1,3 @@
+install(FILES
+glue.hh
+DESTINATION ${CMAKE_INSTALL_INCLUDEDIR}/dumux/mixeddimension/glue)
diff --git a/dumux/mixeddimension/glue/glue.hh b/dumux/mixeddimension/glue/glue.hh
new file mode 100644
index 0000000000..090b66c888
--- /dev/null
+++ b/dumux/mixeddimension/glue/glue.hh
@@ -0,0 +1,268 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ * See the file COPYING for full copying permissions. *
+ * *
+ * This program is free software: you can redistribute it and/or modify *
+ * it under the terms of the GNU General Public License as published by *
+ * the Free Software Foundation, either version 2 of the License, or *
+ * (at your option) any later version. *
+ * *
+ * This program is distributed in the hope that it will be useful, *
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of *
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
+ * GNU General Public License for more details. *
+ * *
+ * You should have received a copy of the GNU General Public License *
+ * along with this program. If not, see <http://www.gnu.org/licenses/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ * \ingroup EmbeddedCoupling
+ * \brief A class glueing two grids of different dimension geometrically
+ * Intersections are computed using axis-aligned bounding box trees
+ */
+
+#ifndef DUMUX_MULTIDIMENSION_GLUE_HH
+#define DUMUX_MULTIDIMENSION_GLUE_HH
+
+#include <iostream>
+#include <fstream>
+#include <string>
+#include <utility>
+
+#include <dune/common/timer.hh>
+#include <dune/common/iteratorrange.hh>
+#include <dune/geometry/affinegeometry.hh>
+
+#include <dumux/common/geometrycollision.hh>
+#include <dumux/common/boundingboxtree.hh>
+
+namespace Dumux
+{
+
+namespace Properties
+{
+// Property forward declarations
+NEW_PROP_TAG(BulkProblemTypeTag);
+NEW_PROP_TAG(LowDimProblemTypeTag);
+NEW_PROP_TAG(GridView);
+} // namespace Properties
+
+// forward declaration
+template<class TypeTag>
+class CCMultiDimensionGlue;
+
+//! Range generator to iterate with range-based for loops over all intersections
+//! as follows: for (const auto& is : intersections(glue)) { ... }
+template<typename TypeTag>
+Dune::IteratorRange<typename CCMultiDimensionGlue<TypeTag>::Intersections::const_iterator>
+intersections(const CCMultiDimensionGlue<TypeTag>& glue)
+{ return {glue.ibegin(), glue.iend()}; }
+
+namespace Glue
+{
+
+template<class TypeTag>
+class Intersection
+{
+ using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+
+ // obtain the type tags of the sub problems
+ using BulkProblemTypeTag = typename GET_PROP_TYPE(TypeTag, BulkProblemTypeTag);
+ using LowDimProblemTypeTag = typename GET_PROP_TYPE(TypeTag, LowDimProblemTypeTag);
+
+ using BulkGridView = typename GET_PROP_TYPE(BulkProblemTypeTag, GridView);
+ using LowDimGridView = typename GET_PROP_TYPE(LowDimProblemTypeTag, GridView);
+
+ enum {
+ bulkDim = BulkGridView::dimension,
+ lowDimDim = LowDimGridView::dimension,
+ dimWorld = BulkGridView::dimensionworld,
+ dimIs = LowDimGridView::dimension,
+ };
+
+ using BulkElement = typename BulkGridView::template Codim<0>::Entity;
+ using LowDimElement = typename LowDimGridView::template Codim<0>::Entity;
+
+ using LowDimTree = Dumux::BoundingBoxTree<LowDimGridView>;
+ using BulkTree = Dumux::BoundingBoxTree<BulkGridView>;
+
+ using Geometry = Dune::AffineGeometry<Scalar, dimIs, dimWorld>;
+ using GlobalPosition = Dune::FieldVector<Scalar, dimWorld>;
+
+public:
+ Intersection(const BulkTree& bulkTree, const LowDimTree& lowDimTree)
+ : bulkTree_(bulkTree), lowDimTree_(lowDimTree) {}
+
+ //! set the intersection geometry corners
+ void setCorners(const std::vector<GlobalPosition>& corners)
+ {
+ corners_ = corners;
+ assert(corners.size() == dimIs + 1);
+ type_.makeSimplex(dimIs);
+ }
+
+ //! add a pair of neighbor elements
+ void addNeighbors(unsigned int bulk, unsigned int lowDim)
+ {
+ neighbors_[0].push_back(bulk);
+ neighbors_[1].push_back(lowDim);
+ }
+
+ //! get the intersection geometry
+ Geometry geometry() const
+ { return Geometry(type_, corners_); }
+
+ //! get the number of neigbors
+ std::size_t neighbor(unsigned int side) const
+ { return neighbors_[side].size(); }
+
+ //! get the inside neighbor
+ LowDimElement inside(unsigned int n) const
+ { return lowDimTree_.entity(neighbors_[1][n]); }
+
+ //! get the outside neighbor
+ BulkElement outside(unsigned int n) const
+ { return bulkTree_.entity(neighbors_[0][n]); }
+
+private:
+ std::array<std::vector<unsigned int>, 2> neighbors_;
+ std::vector<GlobalPosition> corners_;
+ Dune::GeometryType type_;
+
+ const BulkTree& bulkTree_;
+ const LowDimTree& lowDimTree_;
+};
+}
+
+/*!
+ * \ingroup EmbeddedCoupling
+ * \ingroup CCModel
+ * \brief Manages the coupling between bulk elements and lower dimensional elements
+ * Point sources on each integration point are computed by an AABB tree.
+ * Both domain are assumed to be discretized using a cc finite volume scheme.
+ */
+template<class TypeTag>
+class CCMultiDimensionGlue
+{
+ using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+ using Problem = typename GET_PROP_TYPE(TypeTag, Problem);
+
+ // obtain the type tags of the sub problems
+ using BulkProblemTypeTag = typename GET_PROP_TYPE(TypeTag, BulkProblemTypeTag);
+ using LowDimProblemTypeTag = typename GET_PROP_TYPE(TypeTag, LowDimProblemTypeTag);
+
+ using BulkGridView = typename GET_PROP_TYPE(BulkProblemTypeTag, GridView);
+ using LowDimGridView = typename GET_PROP_TYPE(LowDimProblemTypeTag, GridView);
+
+ using BulkProblem = typename GET_PROP_TYPE(BulkProblemTypeTag, Problem);
+ using LowDimProblem = typename GET_PROP_TYPE(LowDimProblemTypeTag, Problem);
+
+ enum {
+ bulkDim = BulkGridView::dimension,
+ lowDimDim = LowDimGridView::dimension,
+ dimWorld = BulkGridView::dimensionworld
+ };
+
+ enum {
+ bulkIsBox = GET_PROP_VALUE(BulkProblemTypeTag, ImplicitIsBox),
+ lowDimIsBox = GET_PROP_VALUE(LowDimProblemTypeTag, ImplicitIsBox)
+ };
+
+ using BulkElement = typename BulkGridView::template Codim<0>::Entity;
+ using LowDimElement = typename LowDimGridView::template Codim<0>::Entity;
+
+ using LowDimTree = Dumux::BoundingBoxTree<LowDimGridView>;
+ using BulkTree = Dumux::BoundingBoxTree<BulkGridView>;
+
+ using GlobalPosition = Dune::FieldVector<Scalar, dimWorld>;
+
+public:
+ // export intersection container type
+ using Intersections = std::vector<Dumux::Glue::Intersection<TypeTag>>;
+
+ /*!
+ * \brief Constructor
+ */
+ CCMultiDimensionGlue(BulkProblem& bulkProblem, LowDimProblem& lowDimProblem)
+ : bulkProblem_(bulkProblem), lowDimProblem_(lowDimProblem)
+ {
+ // Check if we are using the cellcentered method in both domains
+ static_assert(!bulkIsBox && !lowDimIsBox, "Using the cell-centered glue for problems using box discretization!");
+ }
+
+ void build()
+ {
+ // Initialize the bulk and the lowdim bounding box tree
+ const auto& bulkTree = bulkProblem().boundingBoxTree();
+ const auto& lowDimTree = lowDimProblem().boundingBoxTree();
+
+ // compute raw intersections
+ Dune::Timer timer;
+ auto rawIntersections = bulkTree.computeEntityCollisions(lowDimTree);
+ std::cout << "Computed tree intersections in " << timer.elapsed() << std::endl;
+
+ // create a map to check whether intersection geometries were already inserted
+ std::vector<std::vector<std::vector<GlobalPosition>>> intersectionMap;
+ std::vector<std::vector<unsigned int>> intersectionIndex;
+ intersectionMap.resize(lowDimProblem().gridView().size(0));
+ intersectionIndex.resize(lowDimProblem().gridView().size(0));
+
+ for (const auto& rawIntersection : rawIntersections)
+ {
+ bool add = true;
+ for (int i = 0; i < intersectionMap[rawIntersection.second()].size(); ++i)
+ {
+ if (rawIntersection.cornersMatch(intersectionMap[rawIntersection.second()][i]))
+ {
+ add = false;
+ // only add the pair of neighbors using the insertionIndex
+ auto idx = intersectionIndex[rawIntersection.second()][i];
+ intersections_[idx].addNeighbors(rawIntersection.first(), rawIntersection.second());
+ break;
+ }
+ }
+ if(add)
+ {
+ // add to the map
+ intersectionMap[rawIntersection.second()].push_back(rawIntersection.corners());
+ intersectionIndex[rawIntersection.second()].push_back(intersections_.size());
+ // add new intersection and add the neighbors
+ intersections_.emplace_back(bulkTree, lowDimTree);
+ intersections_.back().setCorners(rawIntersection.corners());
+ intersections_.back().addNeighbors(rawIntersection.first(), rawIntersection.second());
+ }
+ }
+ }
+
+ //! Return a reference to the bulk problem
+ BulkProblem& bulkProblem()
+ {
+ return bulkProblem_;
+ }
+
+ //! Return a reference to the low dimensional problem
+ LowDimProblem& lowDimProblem()
+ {
+ return lowDimProblem_;
+ }
+
+ //! Return begin iterator to intersection container
+ typename Intersections::const_iterator ibegin() const
+ { return intersections_.begin(); }
+
+ //! Return end iterator to intersection container
+ typename Intersections::const_iterator iend() const
+ { return intersections_.end(); }
+
+private:
+ BulkProblem& bulkProblem_;
+ LowDimProblem& lowDimProblem_;
+
+ Intersections intersections_;
+};
+
+} // namespace Dumux
+
+#endif
diff --git a/dumux/mixeddimension/integrationpointsource.hh b/dumux/mixeddimension/integrationpointsource.hh
new file mode 100644
index 0000000000..33ae6fc55f
--- /dev/null
+++ b/dumux/mixeddimension/integrationpointsource.hh
@@ -0,0 +1,185 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ * See the file COPYING for full copying permissions. *
+ * *
+ * This program is free software: you can redistribute it and/or modify *
+ * it under the terms of the GNU General Public License as published by *
+ * the Free Software Foundation, either version 2 of the License, or *
+ * (at your option) any later version. *
+ * *
+ * This program is distributed in the hope that it will be useful, *
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of *
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
+ * GNU General Public License for more details. *
+ * *
+ * You should have received a copy of the GNU General Public License *
+ * along with this program. If not, see <http://www.gnu.org/licenses/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ * \ingroup EmbeddedCoupling
+ * \brief An integration point source class,
+ * i.e. sources located at a single point in space
+ * associated with a quadrature point
+ */
+
+#ifndef DUMUX_INTEGRATION_POINTSOURCE_HH
+#define DUMUX_INTEGRATION_POINTSOURCE_HH
+
+#include <dumux/common/pointsource.hh>
+
+namespace Dumux
+{
+
+/*!
+ * \ingroup EmbeddedCoupling
+ * \brief An integration point source class with an identifier to attach data
+ * and a quadrature weight and integration element
+ */
+template<class TypeTag, typename IdType>
+class IntegrationPointSource : public Dumux::IdPointSource<TypeTag, IdType>
+{
+ typedef typename Dumux::IdPointSource<TypeTag, IdType> ParentType;
+ typedef typename GET_PROP_TYPE(TypeTag, GridView) GridView;
+ typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+ typedef typename GET_PROP_TYPE(TypeTag, PrimaryVariables) PrimaryVariables;
+
+ static const int dimworld = GridView::dimensionworld;
+ typedef typename Dune::FieldVector<Scalar, dimworld> GlobalPosition;
+
+public:
+ //! Constructor for integration point sources
+ IntegrationPointSource(GlobalPosition pos, PrimaryVariables values, IdType id,
+ Scalar qpweight, Scalar integrationElement,
+ const std::vector<unsigned int>& elementIndices)
+ : ParentType(pos, values, id),
+ qpweight_(qpweight), integrationElement_(integrationElement),
+ elementIndices_(elementIndices) {}
+
+ //! Constructor for integration point sources, when there is no
+ // value known at the time of initialization
+ IntegrationPointSource(GlobalPosition pos, IdType id,
+ Scalar qpweight, Scalar integrationElement,
+ const std::vector<unsigned int>& elementIndices)
+ : ParentType(pos, id),
+ qpweight_(qpweight), integrationElement_(integrationElement),
+ elementIndices_(elementIndices) {}
+
+
+ Scalar quadratureWeight() const
+ {
+ return qpweight_;
+ }
+
+ Scalar integrationElement() const
+ {
+ return integrationElement_;
+ }
+
+ const std::vector<unsigned int>& elementIndices() const
+ {
+ return elementIndices_;
+ }
+
+ //! Convenience = operator overload modifying only the values
+ IntegrationPointSource& operator= (const PrimaryVariables& values)
+ {
+ ParentType::operator=(values);
+ return *this;
+ }
+
+ //! Convenience = operator overload modifying only the values
+ IntegrationPointSource& operator= (Scalar s)
+ {
+ ParentType::operator=(s);
+ return *this;
+ }
+
+private:
+ Scalar qpweight_;
+ Scalar integrationElement_;
+ std::vector<unsigned int> elementIndices_;
+};
+
+/*!
+ * \ingroup EmbeddedCoupling
+ * \brief A helper class calculating a DOF-index to point source map
+ */
+template<class TypeTag>
+class IntegrationPointSourceHelper
+{
+ typedef typename GET_PROP_TYPE(TypeTag, Problem) Problem;
+ typedef typename GET_PROP_TYPE(TypeTag, GridView) GridView;
+ typedef typename GET_PROP_TYPE(TypeTag, FVElementGeometry) FVElementGeometry;
+ typedef typename GET_PROP_TYPE(TypeTag, PointSource) PointSource;
+
+ static const int dim = GridView::dimension;
+ static const int dimworld = GridView::dimensionworld;
+
+ typedef Dumux::BoundingBoxTree<GridView> BoundingBoxTree;
+
+ enum { isBox = GET_PROP_VALUE(TypeTag, ImplicitIsBox) };
+ enum { dofCodim = isBox ? dim : 0 };
+
+public:
+ //! calculate a DOF index to point source map from given vector of point sources
+ static void computePointSourceMap(const Problem& problem,
+ const BoundingBoxTree& boundingBoxTree,
+ std::vector<PointSource>& sources,
+ std::map<std::pair<unsigned int, unsigned int>, std::vector<PointSource> >& pointSourceMap)
+ {
+ for (auto&& source : sources)
+ {
+ // compute in which elements the point source falls
+ std::vector<unsigned int> entities = source.elementIndices();
+ // split the source values equally among all concerned entities
+ source.setEmbeddings(source.embeddings()*entities.size());
+ // loop over all concernes elements
+ for (unsigned int eIdx : entities)
+ {
+ if(isBox)
+ {
+ // check in which subcontrolvolume(s) we are
+ const auto element = boundingBoxTree.entity(eIdx);
+ auto fvGeometry = localView(problem.model().globalFvGeometry());
+ fvGeometry.bindElement(element);
+ const auto globalPos = source.position();
+ // loop over all sub control volumes and check if the point source is inside
+ std::vector<unsigned int> scvIndices;
+ for (auto&& scv : scvs(fvGeometry))
+ {
+ if (BoundingBoxTreeHelper<dimworld>::pointInGeometry(scv.geometry(), globalPos))
+ scvIndices.push_back(scv.index());
+ }
+ // for all scvs that where tested positiv add the point sources
+ // to the element/scv to point source map
+ for (auto scvIdx : scvIndices)
+ {
+ const auto key = std::make_pair(eIdx, scvIdx);
+ if (pointSourceMap.count(key))
+ pointSourceMap.at(key).push_back(source);
+ else
+ pointSourceMap.insert({key, {source}});
+ // split equally on the number of matched scvs
+ auto& s = pointSourceMap.at(key).back();
+ s.setEmbeddings(scvIndices.size()*s.embeddings());
+ }
+ }
+ else
+ {
+ // add the pointsource to the DOF map
+ const auto key = std::make_pair(eIdx, /*scvIdx=*/ 0);
+ if (pointSourceMap.count(key))
+ pointSourceMap.at(key).push_back(source);
+ else
+ pointSourceMap.insert({key, {source}});
+ }
+ }
+ }
+ }
+};
+
+} // end namespace Dumux
+
+#endif
diff --git a/dumux/mixeddimension/linearsolveracceptsmultitypematrix.hh b/dumux/mixeddimension/linearsolveracceptsmultitypematrix.hh
new file mode 100644
index 0000000000..1a9fb40f30
--- /dev/null
+++ b/dumux/mixeddimension/linearsolveracceptsmultitypematrix.hh
@@ -0,0 +1,80 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ * See the file COPYING for full copying permissions. *
+ * *
+ * This program is free software: you can redistribute it and/or modify *
+ * it under the terms of the GNU General Public License as published by *
+ * the Free Software Foundation, either version 2 of the License, or *
+ * (at your option) any later version. *
+ * *
+ * This program is distributed in the hope that it will be useful, *
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of *
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
+ * GNU General Public License for more details. *
+ * *
+ * You should have received a copy of the GNU General Public License *
+ * along with this program. If not, see <http://www.gnu.org/licenses/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ * \brief Dumux mixeddimension iterative solver backend
+ */
+#ifndef DUMUX_LINEAR_SOLVER_ACCEPTS_MULTITYPEMATRIX_HH
+#define DUMUX_LINEAR_SOLVER_ACCEPTS_MULTITYPEMATRIX_HH
+
+#include <dumux/linear/seqsolverbackend.hh>
+
+namespace Dumux {
+
+//! The default
+template<typename TypeTag, typename LinearSolver>
+struct LinearSolverAcceptsMultiTypeMatrixImpl
+{ static constexpr bool value = true; };
+
+//! Convenience typedef
+template <typename TypeTag>
+using LinearSolverAcceptsMultiTypeMatrix = LinearSolverAcceptsMultiTypeMatrixImpl<TypeTag, typename GET_PROP_TYPE(TypeTag, LinearSolver)>;
+
+//! Solvers that don't accept multi-type matrices
+//! Those are all with ILU preconditioner that doesn't support the additional block level
+//! And the direct solvers that have BCRS Matrix hardcoded
+template<typename TypeTag>
+struct LinearSolverAcceptsMultiTypeMatrixImpl<TypeTag, ILUnBiCGSTABBackend<TypeTag>>
+{ static constexpr bool value = false; };
+
+template<typename TypeTag>
+struct LinearSolverAcceptsMultiTypeMatrixImpl<TypeTag, ILUnCGBackend<TypeTag>>
+{ static constexpr bool value = false; };
+
+template<typename TypeTag>
+struct LinearSolverAcceptsMultiTypeMatrixImpl<TypeTag, ILU0BiCGSTABBackend<TypeTag>>
+{ static constexpr bool value = false; };
+
+template<typename TypeTag>
+struct LinearSolverAcceptsMultiTypeMatrixImpl<TypeTag, ILU0CGBackend<TypeTag>>
+{ static constexpr bool value = false; };
+
+template<typename TypeTag>
+struct LinearSolverAcceptsMultiTypeMatrixImpl<TypeTag, ILU0RestartedGMResBackend<TypeTag>>
+{ static constexpr bool value = false; };
+
+template<typename TypeTag>
+struct LinearSolverAcceptsMultiTypeMatrixImpl<TypeTag, ILUnRestartedGMResBackend<TypeTag>>
+{ static constexpr bool value = false; };
+
+#if HAVE_SUPERLU
+template<typename TypeTag>
+struct LinearSolverAcceptsMultiTypeMatrixImpl<TypeTag, SuperLUBackend<TypeTag>>
+{ static constexpr bool value = false; };
+#endif // HAVE_SUPERLU
+
+#if HAVE_UMFPACK
+template<typename TypeTag>
+struct LinearSolverAcceptsMultiTypeMatrixImpl<TypeTag, UMFPackBackend<TypeTag>>
+{ static constexpr bool value = false; };
+#endif // HAVE_UMFPACK
+
+} // end namespace Dumux
+
+#endif
\ No newline at end of file
diff --git a/dumux/mixeddimension/lowdimlocaljacobian.hh b/dumux/mixeddimension/lowdimlocaljacobian.hh
new file mode 100644
index 0000000000..5d35086592
--- /dev/null
+++ b/dumux/mixeddimension/lowdimlocaljacobian.hh
@@ -0,0 +1,319 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ * See the file COPYING for full copying permissions. *
+ * *
+ * This program is free software: you can redistribute it and/or modify *
+ * it under the terms of the GNU General Public License as published by *
+ * the Free Software Foundation, either version 2 of the License, or *
+ * (at your option) any later version. *
+ * *
+ * This program is distributed in the hope that it will be useful, *
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of *
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
+ * GNU General Public License for more details. *
+ * *
+ * You should have received a copy of the GNU General Public License *
+ * along with this program. If not, see <http://www.gnu.org/licenses/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ * \ingroup MixedDimension
+ * \brief Caculates the Jacobian of the local residual for fully-implicit models
+ */
+#ifndef DUMUX_LOWDIM_LOCAL_JACOBIAN_HH
+#define DUMUX_LOWDIM_LOCAL_JACOBIAN_HH
+
+#include <dune/common/indices.hh>
+#include <dune/istl/matrix.hh>
+
+#include <dumux/common/math.hh>
+#include <dumux/common/valgrind.hh>
+
+#include <dumux/mixeddimension/properties.hh>
+
+namespace Dumux
+{
+/*!
+ * \ingroup MixedDimension
+ * \brief Calculates the Jacobian of the local residual for the low dim domain
+ *
+ * The default behavior is to use numeric differentiation, i.e.
+ * forward or backward differences (2nd order), or central
+ * differences (3rd order). The method used is determined by the
+ * "NumericDifferenceMethod" property:
+ *
+ * - if the value of this property is smaller than 0, backward
+ * differences are used, i.e.:
+ * \f[
+ \frac{\partial f(x)}{\partial x} \approx \frac{f(x) - f(x - \epsilon)}{\epsilon}
+ * \f]
+ *
+ * - if the value of this property is 0, central
+ * differences are used, i.e.:
+ * \f[
+ \frac{\partial f(x)}{\partial x} \approx \frac{f(x + \epsilon) - f(x - \epsilon)}{2 \epsilon}
+ * \f]
+ *
+ * - if the value of this property is larger than 0, forward
+ * differences are used, i.e.:
+ * \f[
+ \frac{\partial f(x)}{\partial x} \approx \frac{f(x + \epsilon) - f(x)}{\epsilon}
+ * \f]
+ *
+ * Here, \f$ f \f$ is the residual function for all equations, \f$x\f$
+ * is the value of a sub-control volume's primary variable at the
+ * evaluation point and \f$\epsilon\f$ is a small value larger than 0.
+ */
+template<class TypeTag>
+class LowDimLocalJacobian : public GET_PROP_TYPE(TypeTag, LowDimLocalJacobianBase)
+{
+ using ParentType = typename GET_PROP_TYPE(TypeTag, LowDimLocalJacobianBase);
+ using Implementation = typename GET_PROP_TYPE(TypeTag, LowDimLocalJacobian);
+ using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+ using GlobalProblem = typename GET_PROP_TYPE(TypeTag, Problem);
+ using SubProblemBlockIndices = typename GET_PROP(TypeTag, SubProblemBlockIndices);
+
+ // obtain the type tag of the lowdim sub problem
+ using LowDimProblemTypeTag = typename GET_PROP_TYPE(TypeTag, LowDimProblemTypeTag);
+
+ // types of the lowdim sub problem
+ using Problem = typename GET_PROP_TYPE(LowDimProblemTypeTag, Problem);
+ using FVElementGeometry = typename GET_PROP_TYPE(LowDimProblemTypeTag, FVElementGeometry);
+ using ElementSolutionVector = typename GET_PROP_TYPE(LowDimProblemTypeTag, ElementSolutionVector);
+ using PrimaryVariables = typename GET_PROP_TYPE(LowDimProblemTypeTag, PrimaryVariables);
+ using VolumeVariables = typename GET_PROP_TYPE(LowDimProblemTypeTag, VolumeVariables);
+ using ElementVolumeVariables = typename GET_PROP_TYPE(LowDimProblemTypeTag, ElementVolumeVariables);
+ using ElementFluxVariablesCache = typename GET_PROP_TYPE(LowDimProblemTypeTag, ElementFluxVariablesCache);
+ using ElementBoundaryTypes = typename GET_PROP_TYPE(LowDimProblemTypeTag, ElementBoundaryTypes);
+ using LocalResidual = typename GET_PROP_TYPE(LowDimProblemTypeTag, LocalResidual);
+ using GridView = typename GET_PROP_TYPE(LowDimProblemTypeTag, GridView);
+ using IndexType = typename GridView::IndexSet::IndexType:
+ using Element = typename GridView::template Codim<0>::Entity;
+
+ enum { dim = GridView::dimension };
+ enum { isBox = GET_PROP_VALUE(LowDimProblemTypeTag, ImplicitIsBox) };
+
+ // matrix and solution types
+ using SolutionVector = typename GET_PROP_TYPE(LowDimProblemTypeTag, SolutionVector);
+ using JacobianMatrix = typename GET_PROP_TYPE(TypeTag, JacobianMatrix)::MatrixBlockLowDim;
+ using JacobianMatrixCoupling = typename GET_PROP_TYPE(TypeTag, JacobianMatrix)::MatrixBlockLowDimCoupling;
+
+public:
+
+ // copying a local jacobian is not a good idea
+ LowDimLocalJacobian(const LowDimLocalJacobian &) = delete;
+
+ LowDimLocalJacobian()
+ { numericDifferenceMethod_ = GET_PARAM_FROM_GROUP(TypeTag, int, Implicit, NumericDifferenceMethod); }
+
+ /*!
+ * \brief Initialize the local Jacobian object.
+ *
+ * At this point we can assume that everything has been allocated,
+ * although some objects may not yet be completely initialized.
+ *
+ * \param problem The problem which we want to simulate.
+ */
+ void init(GlobalProblem &globalProblem)
+ {
+ globalProblemPtr_ = &globalProblem;
+ ParentType::init(globalProblem.lowDimProblem());
+ }
+
+ /*!
+ * \brief Assemble an element's local Jacobian matrix of the
+ * defect.
+ *
+ * \param element The DUNE Codim<0> entity which we look at.
+ */
+ void assemble(const Element &element,
+ JacobianMatrix& matrix,
+ JacobianMatrixCoupling& couplingMatrix,
+ SolutionVector& residual)
+ {
+ const bool isGhost = (element.partitionType() == Dune::GhostEntity);
+
+ // prepare the volvars/fvGeometries in case caching is disabled
+ auto fvGeometry = localView(this->model_().globalFvGeometry());
+ fvGeometry.bind(element);
+
+ auto curElemVolVars = localView(this->model_().curGlobalVolVars());
+ curElemVolVars.bind(element, fvGeometry, this->model_().curSol());
+
+ auto prevElemVolVars = localView(this->model_().prevGlobalVolVars());
+ prevElemVolVars.bindElement(element, fvGeometry, this->model_().prevSol());
+
+ auto elemFluxVarsCache = localView(this->model_().globalFluxVarsCache());
+ elemFluxVarsCache.bind(element, fvGeometry, curElemVolVars);
+
+ // set the actual dof index
+ globalI_ = this->problem_().elementMapper().index(element);
+
+ // check for boundaries on the element
+ ElementBoundaryTypes elemBcTypes;
+ elemBcTypes.update(this->problem_(), element, fvGeometry);
+
+ // The actual solution in the element
+ auto curElemSol = this->model_().elementSolution(element, this->model_().curSol());
+
+ // Evaluate the undeflected element local residual
+ this->localResidual().eval(element,
+ fvGeometry,
+ prevElemVolVars,
+ curElemVolVars,
+ elemBcTypes,
+ elemFluxVarsCache);
+ this->residual_ = this->localResidual().residual();
+
+ // calculate derivatives of all dofs in stencil with respect to the dofs in the element
+ this->evalPartialDerivatives_(element,
+ fvGeometry,
+ prevElemVolVars,
+ curElemVolVars,
+ curElemSol,
+ elemFluxVarsCache,
+ elemBcTypes,
+ matrix,
+ residual,
+ isGhost);
+
+ // compute derivatives with respect to additional user defined DOF dependencies
+ const auto& additionalDofDepedencies = this->problem_().getAdditionalDofDependencies(globalI_);
+ if (!additionalDofDepedencies.empty() && !isGhost)
+ {
+ this->evalAdditionalDerivatives_(additionalDofDepedencies,
+ element,
+ fvGeometry,
+ curElemVolVars,
+ matrix,
+ residual);
+ }
+
+ evalPartialDerivativeCoupling_(element,
+ fvGeometry,
+ curElemVolVars,
+ elemFluxVarsCache,
+ elemBcTypes,
+ couplingMatrix,
+ residual)
+ }
+
+protected:
+
+ /*!
+ * \brief Returns a reference to the problem.
+ */
+ const GlobalProblem &globalProblem_() const
+ { return *globalProblemPtr_; }
+
+ GlobalProblem &globalProblem_()
+ { return *globalProblemPtr_; }
+
+ void evalPartialDerivativeCoupling_(const Element& element,
+ const FVElementGeometry& fvGeometry,
+ ElementVolumeVariables& curElemVolVars,
+ ElementFluxVariablesCache& elemFluxVarsCache,
+ const ElementBoundaryTypes& elemBcTypes,
+ JacobianMatrixCoupling& couplingMatrix,
+ SolutionVector& residual)
+ {
+ const auto& couplingStencil = globalProblem_().couplingManager().couplingStencil(element);
+ const auto numDofsCoupling = couplingStencil.size();
+
+ for (auto globalJ : couplingStencil)
+ {
+ const auto lowDimElement = globalProblem_().lowDimProblem().model().globalFvGeometry().element(globalJ);
+ const auto& lowDimSolution = globalProblem_().lowDimProblem().model().curSol();
+ auto curElemSolLowDim = globalProblem_().lowDimProblem().model().elementSolution(lowDimElement, lowDimSolution);
+ const auto lowDimResidual = globalProblem_().couplingManager().evalCouplingResidual(element,
+ fvGeometry,
+ curElemVolVars,
+ elemBcTypes,
+ elemFluxVarsCache,
+ lowDimElement,
+ curElemSolLowDim);
+ // derivatives in the neighbors with repect to the current elements
+ PrimaryVariables partialDeriv;
+ for (int pvIdx = 0; pvIdx < numEq; pvIdx++)
+ {
+ const Scalar eps = numericEpsilon(curElemSolLowDim[0][pvIdx]);
+ Scalar delta = 0;
+
+ if (numericDifferenceMethod_ >= 0)
+ {
+ // we are not using backward differences, i.e. we need to
+ // calculate f(x + \epsilon)
+
+ // deflect primary variables
+ curElemSolLowDim[0][pvIdx] += eps;
+ delta += eps;
+
+ // calculate the residual with the deflected primary variables
+ partialDeriv = globalProblem_().couplingManager().evalCouplingResidual(element,
+ fvGeometry,
+ curElemVolVars,
+ elemBcTypes,
+ elemFluxVarsCache,
+ lowDimElement,
+ curElemSolLowDim);
+ }
+ else
+ {
+ // we are using backward differences, i.e. we don't need
+ // to calculate f(x + \epsilon) and we can recycle the
+ // (already calculated) residual f(x)
+ partialDeriv = lowDimResidual;
+ }
+
+
+ if (numericDifferenceMethod_ <= 0)
+ {
+ // we are not using forward differences, i.e. we
+ // need to calculate f(x - \epsilon)
+
+ // deflect the primary variables
+ curElemSolLowDim[0][pvIdx] -= 2*eps;
+ delta += eps;
+
+ // calculate the residual with the deflected primary variables
+ partialDeriv -= globalProblem_().couplingManager().evalCouplingResidual(element,
+ fvGeometry,
+ curElemVolVars,
+ elemBcTypes,
+ elemFluxVarsCache,
+ lowDimElement,
+ curElemSolLowDim);
+ }
+ else
+ {
+ // we are using forward differences, i.e. we don't need to
+ // calculate f(x - \epsilon) and we can recycle the
+ // (already calculated) residual f(x)
+ partialDeriv -= lowDimResidual;
+ }
+
+ // divide difference in residuals by the magnitude of the
+ // deflections between the two function evaluation
+ partialDeriv /= delta;
+
+ // restore the original state of the element solution vector
+ curElemSolLowDim[0][pvIdx] = lowDimSolution[globalJ][pvIdx];
+
+ // update the global jacobian matrix (coupling block)
+ this->updateGlobalJacobian_(couplingMatrix, globalI_, globalJ, pvIdx, partialDeriv);
+ }
+ }
+ }
+
+ // The global index of the current element
+ IndexType globalI_;
+ // The problem we would like to solve
+ GlobalProblem *globalProblemPtr_;
+ // The type of the numeric difference method (forward, center, backward)
+ int numericDifferenceMethod_;
+};
+
+} // end namespace Dumux
+
+#endif
diff --git a/dumux/mixeddimension/model.hh b/dumux/mixeddimension/model.hh
new file mode 100644
index 0000000000..a5e41326c2
--- /dev/null
+++ b/dumux/mixeddimension/model.hh
@@ -0,0 +1,551 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ * See the file COPYING for full copying permissions. *
+ * *
+ * This program is free software: you can redistribute it and/or modify *
+ * it under the terms of the GNU General Public License as published by *
+ * the Free Software Foundation, either version 2 of the License, or *
+ * (at your option) any later version. *
+ * *
+ * This program is distributed in the hope that it will be useful, *
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of *
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
+ * GNU General Public License for more details. *
+ * *
+ * You should have received a copy of the GNU General Public License *
+ * along with this program. If not, see <http://www.gnu.org/licenses/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ * \ingroup MixedDimension
+ * \brief Base class for the coupled models of mixed dimension
+ */
+#ifndef DUMUX_MIXEDDIMENSION_MODEL_HH
+#define DUMUX_MIXEDDIMENSION_MODEL_HH
+
+#include <dune/geometry/type.hh>
+#include <dune/istl/bvector.hh>
+
+#include <dumux/mixeddimension/properties.hh>
+#include <dumux/mixeddimension/assembler.hh>
+#include <dumux/mixeddimension/subproblemlocaljacobian.hh>
+#include <dumux/mixeddimension/newtoncontroller.hh>
+#include <dumux/implicit/adaptive/gridadaptproperties.hh>
+#include <dumux/common/valgrind.hh>
+
+namespace Dumux
+{
+
+/*!
+ * \ingroup MixedDimension
+ * \brief The base class for implicit models of mixed dimension.
+ */
+template<class TypeTag>
+class MixedDimensionModel
+{
+ typedef typename GET_PROP_TYPE(TypeTag, Model) Implementation;
+ typedef typename GET_PROP_TYPE(TypeTag, Problem) Problem;
+ typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+ typedef typename GET_PROP_TYPE(TypeTag, SolutionVector) SolutionVector;
+ typedef typename GET_PROP_TYPE(TypeTag, JacobianAssembler) JacobianAssembler;
+ typedef typename GET_PROP_TYPE(TypeTag, BulkLocalJacobian) BulkLocalJacobian;
+ typedef typename GET_PROP_TYPE(TypeTag, LowDimLocalJacobian) LowDimLocalJacobian;
+ typedef typename GET_PROP_TYPE(TypeTag, NewtonMethod) NewtonMethod;
+ typedef typename GET_PROP_TYPE(TypeTag, NewtonController) NewtonController;
+ typedef typename GET_PROP(TypeTag, SubProblemBlockIndices) SubProblemBlockIndices;
+
+ // obtain the type tags of the sub problems
+ typedef typename GET_PROP_TYPE(TypeTag, BulkProblemTypeTag) BulkProblemTypeTag;
+ typedef typename GET_PROP_TYPE(TypeTag, LowDimProblemTypeTag) LowDimProblemTypeTag;
+
+ typedef typename GET_PROP_TYPE(BulkProblemTypeTag, GridView) BulkGridView;
+ typedef typename GET_PROP_TYPE(LowDimProblemTypeTag, GridView) LowDimGridView;
+
+ typedef typename GET_PROP_TYPE(BulkProblemTypeTag, LocalResidual) BulkLocalResidual;
+ typedef typename GET_PROP_TYPE(LowDimProblemTypeTag, LocalResidual) LowDimLocalResidual;
+
+ typedef typename GET_PROP_TYPE(BulkProblemTypeTag, VertexMapper) BulkVertexMapper;
+ typedef typename GET_PROP_TYPE(LowDimProblemTypeTag, VertexMapper) LowDimVertexMapper;
+
+ typedef typename GET_PROP_TYPE(BulkProblemTypeTag, ElementMapper) BulkElementMapper;
+ typedef typename GET_PROP_TYPE(LowDimProblemTypeTag, ElementMapper) LowDimElementMapper;
+
+ enum {
+ bulkDim = BulkGridView::dimension,
+ lowDimDim = LowDimGridView::dimension,
+ dimWorld = BulkGridView::dimensionworld
+ };
+
+ enum {
+ bulkIsBox = GET_PROP_VALUE(BulkProblemTypeTag, ImplicitIsBox),
+ lowDimIsBox = GET_PROP_VALUE(LowDimProblemTypeTag, ImplicitIsBox),
+ bulkDofCodim = bulkIsBox ? bulkDim : 0,
+ lowDimDofCodim = lowDimIsBox ? lowDimDim : 0
+ };
+
+ typename SubProblemBlockIndices::BulkIdx bulkIdx;
+ typename SubProblemBlockIndices::LowDimIdx lowDimIdx;
+
+ typedef typename BulkGridView::template Codim<0>::Entity BulkElement;
+ typedef typename LowDimGridView::template Codim<0>::Entity LowDimElement;
+
+ typedef typename Dune::ReferenceElements<Scalar, bulkDim> BulkReferenceElements;
+ typedef typename Dune::ReferenceElements<Scalar, lowDimDim> LowDimReferenceElements;
+
+public:
+ // copying a model is not a good idea
+ MixedDimensionModel(const MixedDimensionModel&) = delete;
+
+ /*!
+ * \brief The constructor.
+ */
+ MixedDimensionModel()
+ : problemPtr_(nullptr) {}
+
+ /*!
+ * \brief Apply the initial conditions to the model.
+ *
+ * \param problem The object representing the problem which needs to
+ * be simulated.
+ */
+ void init(Problem &problem)
+ {
+ problemPtr_ = &problem;
+
+ // resize the current and previous solution
+ const unsigned int bulkNumDofs = asImp_().bulkNumDofs();
+ const unsigned int lowDimNumDofs = asImp_().lowDimNumDofs();
+ uCur_[bulkIdx].resize(bulkNumDofs);
+ uCur_[lowDimIdx].resize(lowDimNumDofs);
+ uPrev_[bulkIdx].resize(bulkNumDofs);
+ uPrev_[lowDimIdx].resize(lowDimNumDofs);
+
+ // initialize local jocabian and jacobian assembler
+ bulkLocalJacobian_.init(problem_());
+ lowDimLocalJacobian_.init(problem_());
+ jacAsm_ = std::make_shared<JacobianAssembler>();
+ jacAsm_->init(problem_());
+
+ // set the model to the state of the initial solution
+ // defined by the problem
+ asImp_().copySubProblemSolutions_();
+
+ // also set the solution of the "previous" time step to the
+ // initial solution.
+ uPrev_ = uCur_;
+ }
+
+ /*!
+ * \brief Compute the global residual for an arbitrary solution
+ * vector.
+ *
+ * \param residual Stores the result
+ * \param u The solution for which the residual ought to be calculated
+ */
+ Scalar globalResidual(SolutionVector &residual,
+ const SolutionVector &u)
+ {
+ SolutionVector tmp(curSol());
+ curSol() = u;
+ Scalar res = globalResidual(residual);
+ curSol() = tmp;
+ return res;
+ }
+
+ /*!
+ * \brief Compute the global residual for the current solution
+ * vector.
+ *
+ * \param residual Stores the result
+ */
+ Scalar globalResidual(SolutionVector &residual)
+ {
+ residual = 0;
+
+ for (const auto& element : elements(bulkGridView_()))
+ {
+ bulkLocalResidual().eval(element);
+
+ if (bulkIsBox)
+ {
+ for (int i = 0; i < element.subEntities(bulkDim); ++i)
+ {
+ const unsigned int dofIdxGlobal = problem_().bulkProblem().model().dofMapper().subIndex(element, i, bulkDim);
+ residual[bulkIdx][dofIdxGlobal] += bulkLocalResidual().residual(i);
+ }
+ }
+ else
+ {
+ const unsigned int dofIdxGlobal = problem_().bulkProblem().model().dofMapper().index(element);
+ residual[bulkIdx][dofIdxGlobal] = bulkLocalResidual().residual(0);
+ }
+ }
+
+ for (const auto& element : elements(lowDimGridView_()))
+ {
+ lowDimLocalResidual().eval(element);
+
+ if (lowDimIsBox)
+ {
+ for (int i = 0; i < element.subEntities(lowDimDim); ++i)
+ {
+ const unsigned int dofIdxGlobal = problem_().lowDimProblem().model().dofMapper().subIndex(element, i, lowDimDim);
+ residual[lowDimIdx][dofIdxGlobal] += lowDimLocalResidual().residual(i);
+ }
+ }
+ else
+ {
+ const unsigned int dofIdxGlobal = problem_().lowDimProblem().model().dofMapper().index(element);
+ residual[lowDimIdx][dofIdxGlobal] = lowDimLocalResidual().residual(0);
+ }
+ }
+
+ // calculate the square norm of the residual
+ return residual.two_norm();
+ }
+
+ void adaptVariableSize()
+ {
+ uCur_[bulkIdx].resize(asImp_().bulkNumDofs());
+ uCur_[lowDimIdx].resize(asImp_().lowDimNumDofs());
+ }
+
+ /*!
+ * \brief Reference to the current solution as a block vector.
+ */
+ const SolutionVector &curSol() const
+ { return uCur_; }
+
+ /*!
+ * \brief Reference to the current solution as a block vector.
+ */
+ SolutionVector &curSol()
+ { return uCur_; }
+
+ /*!
+ * \brief Reference to the previous solution as a block vector.
+ */
+ const SolutionVector &prevSol() const
+ { return uPrev_; }
+
+ /*!
+ * \brief Reference to the previous solution as a block vector.
+ */
+ SolutionVector &prevSol()
+ { return uPrev_; }
+
+ /*!
+ * \brief Returns the operator assembler for the global jacobian of
+ * the problem.
+ */
+ JacobianAssembler &jacobianAssembler()
+ { return *jacAsm_; }
+
+ /*!
+ * \copydoc jacobianAssembler()
+ */
+ const JacobianAssembler &jacobianAssembler() const
+ { return *jacAsm_; }
+
+ /*!
+ * \brief Returns the local jacobian which calculates the local
+ * stiffness matrix for an arbitrary bulk element.
+ *
+ * The local stiffness matrices of the element are used by
+ * the jacobian assembler to produce a global linerization of the
+ * problem.
+ */
+ BulkLocalJacobian &bulkLocalJacobian()
+ { return bulkLocalJacobian_; }
+ /*!
+ * \copydoc bulkLocalJacobian()
+ */
+ const BulkLocalJacobian &bulkLocalJacobian() const
+ { return bulkLocalJacobian_; }
+
+ /*!
+ * \brief Returns the local jacobian which calculates the local
+ * stiffness matrix for an arbitrary low dimensional element.
+ *
+ * The local stiffness matrices of the element are used by
+ * the jacobian assembler to produce a global linerization of the
+ * problem.
+ */
+ LowDimLocalJacobian &lowDimLocalJacobian()
+ { return lowDimLocalJacobian_; }
+ /*!
+ * \copydoc lowDimLocalJacobian()
+ */
+ const LowDimLocalJacobian &lowDimLocalJacobian() const
+ { return lowDimLocalJacobian_; }
+
+ /*!
+ * \brief Returns the bulk local residual function.
+ */
+ BulkLocalResidual& bulkLocalResidual()
+ { return bulkLocalJacobian().localResidual(); }
+ /*!
+ * \copydoc bulkLocalResidual()
+ */
+ const BulkLocalResidual& bulkLocalResidual() const
+ { return bulkLocalJacobian().localResidual(); }
+
+ /*!
+ * \brief Returns the low dim local residual function.
+ */
+ LowDimLocalResidual& lowDimLocalResidual()
+ { return lowDimLocalJacobian().localResidual(); }
+ /*!
+ * \copydoc lowDimLocalResidual()
+ */
+ const LowDimLocalResidual& lowDimLocalResidual() const
+ { return lowDimLocalJacobian().localResidual(); }
+
+ /*!
+ * \brief Returns the maximum relative shift between two vectors of
+ * primary variables.
+ *
+ * \param priVars1 The first vector of primary variables
+ * \param priVars2 The second vector of primary variables
+ */
+ template <class PrimaryVariableVector>
+ Scalar relativeShiftAtDof(const PrimaryVariableVector &priVars1,
+ const PrimaryVariableVector &priVars2)
+ {
+ Scalar result = 0.0;
+ for (int j = 0; j < priVars1.size(); ++j)
+ {
+ Scalar eqErr = std::abs(priVars1[j] - priVars2[j]);
+ eqErr /= std::max<Scalar>(1.0, std::abs(priVars1[j] + priVars2[j])/2);
+
+ result = std::max(result, eqErr);
+ }
+ return result;
+ }
+
+ /*!
+ * \brief Try to progress the model to the next timestep.
+ *
+ * \param solver The non-linear solver
+ * \param controller The controller which specifies the behaviour
+ * of the non-linear solver
+ */
+ bool update(NewtonMethod &solver,
+ NewtonController &controller)
+ {
+ asImp_().updateBegin();
+ bool converged = solver.execute(controller);
+
+ if (converged)
+ asImp_().updateSuccessful();
+ else
+ asImp_().updateFailed();
+
+ return converged;
+ }
+
+ /*!
+ * \brief Check the plausibility of the current solution
+ *
+ * This has to be done by the actual model, it knows
+ * best, what (ranges of) variables to check.
+ * This is primarily a hook
+ * which the actual model can overload.
+ */
+ void checkPlausibility() const
+ { }
+
+ /*!
+ * \brief Called by the update() method before it tries to
+ * apply the newton method. This is primarily a hook
+ * which the actual model can overload.
+ */
+ void updateBegin()
+ {
+ if((GET_PROP_VALUE(BulkProblemTypeTag, AdaptiveGrid) && problem_().bulkProblem().gridAdapt().wasAdapted()) ||
+ (GET_PROP_VALUE(LowDimProblemTypeTag, AdaptiveGrid) && problem_().lowDimProblem().gridAdapt().wasAdapted()))
+ {
+ uPrev_ = uCur_;
+ jacAsm_->init(problem_());
+
+ if (GET_PROP_VALUE(BulkProblemTypeTag, AdaptiveGrid) && problem_().bulkProblem().gridAdapt().wasAdapted())
+ problem_().bulkProblem().model().updateBegin();
+
+ if (GET_PROP_VALUE(LowDimProblemTypeTag, AdaptiveGrid) && problem_().lowDimProblem().gridAdapt().wasAdapted())
+ problem_().lowDimProblem().model().updateBegin();
+ }
+ }
+
+
+ /*!
+ * \brief Called by the update() method if it was
+ * successful. This is primarily a hook which the actual
+ * model can overload.
+ */
+ void updateSuccessful()
+ {}
+
+ void newtonEndStep()
+ {
+ problem_().bulkProblem().model().newtonEndStep();
+ problem_().lowDimProblem().model().newtonEndStep();
+ }
+
+ /*!
+ * \brief Called by the update() method if it was
+ * unsuccessful. This is primarily a hook which the actual
+ * model can overload.
+ */
+ void updateFailed()
+ {
+ // Reset the current solution to the one of the
+ // previous time step so that we can start the next
+ // update at a physically meaningful solution.
+ uCur_ = uPrev_;
+
+ // call the respective methods in the sub problems
+ problem_().lowDimProblem().model().updateFailed();
+ problem_().bulkProblem().model().updateFailed();
+ }
+
+ /*!
+ * \brief Called by the problem if a time integration was
+ * successful, post processing of the solution is done and
+ * the result has been written to disk.
+ *
+ * This should prepare the model for the next time integration.
+ */
+ void advanceTimeLevel()
+ {
+ // make the current solution the previous one.
+ uPrev_ = uCur_;
+
+ // call the respective methods in the sub problems
+ problem_().lowDimProblem().model().advanceTimeLevel();
+ problem_().bulkProblem().model().advanceTimeLevel();
+ }
+
+ /*!
+ * \brief Returns the number of global degrees of freedoms (DOFs) of the bulk problem
+ */
+ std::size_t bulkNumDofs() const
+ { return problem_().bulkProblem().model().numDofs(); }
+
+ /*!
+ * \brief Returns the number of global degrees of freedoms (DOFs) of the low dim problem
+ */
+ std::size_t lowDimNumDofs() const
+ { return problem_().lowDimProblem().model().numDofs(); }
+
+ /*!
+ * \brief Returns the number of global degrees of freedoms (DOFs)
+ */
+ std::size_t numDofs() const
+ { return asImp_().bulkNumDofs() + asImp_().lowDimNumDofs(); }
+
+ /*!
+ * \brief Mapper for the entities of the subproblems
+ */
+ const BulkVertexMapper& bulkVertexMapper() const
+ {
+ return problem_().bulkProblem().vertexMapper();
+ }
+
+ const BulkElementMapper& bulkElementMapper() const
+ {
+ return problem_().bulkProblem().elementMapper();
+ }
+
+ const LowDimVertexMapper& lowDimVertexMapper() const
+ {
+ return problem_().lowDimProblem().vertexMapper();
+ }
+
+ const LowDimElementMapper& lowDimElementMapper() const
+ {
+ return problem_().lowDimProblem().elementMapper();
+ }
+
+ /*!
+ * \brief Resets the Jacobian matrix assembler, so that the
+ * boundary types can be altered.
+ */
+ void resetJacobianAssembler ()
+ {
+ jacAsm_.template reset<JacobianAssembler>(0);
+ jacAsm_ = std::make_shared<JacobianAssembler>();
+ jacAsm_->init(problem_());
+ }
+
+ /*!
+ * \brief Copies the global solution vector to the sub problems
+ */
+ void copySolutionToSubProblems()
+ {
+ problem_().bulkProblem().model().curSol() = uCur_[bulkIdx];
+ problem_().lowDimProblem().model().curSol() = uCur_[lowDimIdx];
+ }
+
+protected:
+ /*!
+ * \brief A reference to the problem on which the model is applied.
+ */
+ Problem &problem_()
+ { return *problemPtr_; }
+ /*!
+ * \copydoc problem_()
+ */
+ const Problem &problem_() const
+ { return *problemPtr_; }
+
+ /*!
+ * \brief Reference to the grid view of the spatial domain.
+ */
+ const BulkGridView &bulkGridView_() const
+ { return problem_().bulkProblem().gridView(); }
+
+ /*!
+ * \brief Reference to the grid view of the spatial domain.
+ */
+ const LowDimGridView &lowDimGridView_() const
+ { return problem_().lowDimProblem().gridView(); }
+
+ /*!
+ * \brief Copies the solution vectors of the sub problems
+ */
+ void copySubProblemSolutions_()
+ {
+ uCur_[bulkIdx] = problem_().bulkProblem().model().curSol();
+ uCur_[lowDimIdx] = problem_().lowDimProblem().model().curSol();
+ }
+
+ // the problem we want to solve. defines the constitutive
+ // relations, matxerial laws, etc.
+ Problem *problemPtr_;
+
+ // calculates the local jacobian matrix for a given bulk/lowdim element
+ BulkLocalJacobian bulkLocalJacobian_;
+ LowDimLocalJacobian lowDimLocalJacobian_;
+
+ // Linearizes the problem at the current time step using the
+ // local jacobian
+ std::shared_ptr<JacobianAssembler> jacAsm_;
+
+ // cur is the current iterative solution, prev the converged
+ // solution of the previous time step
+ SolutionVector uCur_;
+ SolutionVector uPrev_;
+
+private:
+
+ Implementation &asImp_()
+ { return *static_cast<Implementation*>(this); }
+ const Implementation &asImp_() const
+ { return *static_cast<const Implementation*>(this); }
+
+};
+
+} // end namespace Dumux
+
+#endif
diff --git a/dumux/mixeddimension/newtoncontroller.hh b/dumux/mixeddimension/newtoncontroller.hh
new file mode 100644
index 0000000000..213049ad75
--- /dev/null
+++ b/dumux/mixeddimension/newtoncontroller.hh
@@ -0,0 +1,766 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/****************************************************************************
+ * See the file COPYING for full copying permissions. *
+ * *
+ * This program is free software: you can redistribute it and/or modify *
+ * it under the terms of the GNU General Public License as published by *
+ * the Free Software Foundation, either version 2 of the License, or *
+ * (at your option) any later version. *
+ * *
+ * This program is distributed in the hope that it will be useful, *
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of *
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
+ * GNU General Public License for more details. *
+ * *
+ * You should have received a copy of the GNU General Public License *
+ * along with this program. If not, see <http://www.gnu.org/licenses/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ * \ingroup MixedDimension
+ * \brief Reference implementation of a controller class for the Newton solver.
+ *
+ * Usually this controller should be sufficient.
+ */
+#ifndef DUMUX_MIXEDDIMENSION_NEWTON_CONTROLLER_HH
+#define DUMUX_MIXEDDIMENSION_NEWTON_CONTROLLER_HH
+
+#include <dumux/common/propertysystem.hh>
+#include <dumux/common/exceptions.hh>
+#include <dumux/common/math.hh>
+#include <dumux/linear/seqsolverbackend.hh>
+#include "linearsolveracceptsmultitypematrix.hh"
+
+namespace Dumux
+{
+template <class TypeTag>
+class MixedDimensionNewtonController;
+
+namespace Properties
+{
+//! Specifies the implementation of the Newton controller
+NEW_PROP_TAG(NewtonController);
+
+//! Specifies the type of the actual Newton method
+NEW_PROP_TAG(NewtonMethod);
+
+//! Specifies the type of a solution
+NEW_PROP_TAG(SolutionVector);
+
+//! Specifies the type of a global Jacobian matrix
+NEW_PROP_TAG(JacobianMatrix);
+
+//! specifies the type of the time manager
+NEW_PROP_TAG(TimeManager);
+
+/*!
+ * \brief Specifies whether the update should be done using the line search
+ * method instead of the plain Newton method.
+ *
+ * Whether this property has any effect depends on whether the line
+ * search method is implemented for the actual model's Newton
+ * controller's update() method. By default line search is not used.
+ */
+NEW_PROP_TAG(NewtonUseLineSearch);
+
+//! indicate whether the shift criterion should be used
+NEW_PROP_TAG(NewtonEnableShiftCriterion);
+
+//! the value for the maximum relative shift below which convergence is declared
+NEW_PROP_TAG(NewtonMaxRelativeShift);
+
+//! indicate whether the residual criterion should be used
+NEW_PROP_TAG(NewtonEnableResidualCriterion);
+
+//! the value for the residual reduction below which convergence is declared
+NEW_PROP_TAG(NewtonResidualReduction);
+
+//! indicate whether both of the criteria should be satisfied to declare convergence
+NEW_PROP_TAG(NewtonSatisfyResidualAndShiftCriterion);
+
+/*!
+ * \brief The number of iterations at which the Newton method
+ * should aim at.
+ *
+ * This is used to control the time-step size. The heuristic used
+ * is to scale the last time-step size by the deviation of the
+ * number of iterations used from the target steps.
+ */
+NEW_PROP_TAG(NewtonTargetSteps);
+
+//! Number of maximum iterations for the Newton method.
+NEW_PROP_TAG(NewtonMaxSteps);
+
+} // end namespace Properties
+
+/*!
+ * \ingroup MixedDimension
+ * \brief A reference implementation of a Newton controller specific
+ * for the coupled problems of mixed dimension.
+ *
+ * If you want to specialize only some methods but are happy with the
+ * defaults of the reference controller, derive your controller from
+ * this class and simply overload the required methods.
+ */
+template <class TypeTag>
+class MixedDimensionNewtonController
+{
+ using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+ using Implementation = typename GET_PROP_TYPE(TypeTag, NewtonController);
+ using Problem = typename GET_PROP_TYPE(TypeTag, Problem);
+ using Model = typename GET_PROP_TYPE(TypeTag, Model);
+ using NewtonMethod = typename GET_PROP_TYPE(TypeTag, NewtonMethod);
+ using JacobianMatrix = typename GET_PROP_TYPE(TypeTag, JacobianMatrix);
+ using TimeManager = typename GET_PROP_TYPE(TypeTag, TimeManager);
+ using SolutionVector = typename GET_PROP_TYPE(TypeTag, SolutionVector);
+ using LinearSolver = typename GET_PROP_TYPE(TypeTag, LinearSolver);
+ using SubProblemBlockIndices = typename GET_PROP(TypeTag, SubProblemBlockIndices);
+
+ typename SubProblemBlockIndices::BulkIdx bulkIdx;
+ typename SubProblemBlockIndices::LowDimIdx lowDimIdx;
+
+ using BulkProblemTypeTag = typename GET_PROP_TYPE(TypeTag, BulkProblemTypeTag);
+ using LowDimProblemTypeTag = typename GET_PROP_TYPE(TypeTag, LowDimProblemTypeTag);
+
+ enum {
+ numEqBulk = GET_PROP_VALUE(BulkProblemTypeTag, NumEq),
+ numEqLowDim = GET_PROP_VALUE(LowDimProblemTypeTag, NumEq)
+ };
+
+public:
+ /*!
+ * \brief Constructor
+ */
+ MixedDimensionNewtonController(const Problem &problem)
+ : endIterMsgStream_(std::ostringstream::out), linearSolver_(problem)
+ {
+ useLineSearch_ = GET_PARAM_FROM_GROUP(TypeTag, bool, Newton, UseLineSearch);
+ enableShiftCriterion_ = GET_PARAM_FROM_GROUP(TypeTag, bool, Newton, EnableShiftCriterion);
+ enableResidualCriterion_ = GET_PARAM_FROM_GROUP(TypeTag, bool, Newton, EnableResidualCriterion);
+ satisfyResidualAndShiftCriterion_ = GET_PARAM_FROM_GROUP(TypeTag, bool, Newton, SatisfyResidualAndShiftCriterion);
+ if (!enableShiftCriterion_ && !enableResidualCriterion_)
+ {
+ DUNE_THROW(Dune::NotImplemented,
+ "at least one of NewtonEnableShiftCriterion or "
+ << "NewtonEnableResidualCriterion has to be set to true");
+ }
+
+ setMaxRelativeShift(GET_PARAM_FROM_GROUP(TypeTag, Scalar, Newton, MaxRelativeShift));
+ setResidualReduction(GET_PARAM_FROM_GROUP(TypeTag, Scalar, Newton, ResidualReduction));
+ setTargetSteps(GET_PARAM_FROM_GROUP(TypeTag, int, Newton, TargetSteps));
+ setMaxSteps(GET_PARAM_FROM_GROUP(TypeTag, int, Newton, MaxSteps));
+
+ verbose_ = true;
+ numSteps_ = 0;
+ }
+
+ /*!
+ * \brief Set the maximum acceptable difference of any primary variable
+ * between two iterations for declaring convergence.
+ *
+ * \param tolerance The maximum relative shift between two Newton
+ * iterations at which the scheme is considered finished
+ */
+ void setMaxRelativeShift(Scalar tolerance)
+ { shiftTolerance_ = tolerance; }
+
+ /*!
+ * \brief Set the maximum acceptable residual norm reduction.
+ *
+ * \param tolerance The maximum reduction of the residual norm
+ * at which the scheme is considered finished
+ */
+ void setResidualReduction(Scalar tolerance)
+ { reductionTolerance_ = tolerance; }
+
+ /*!
+ * \brief Set the number of iterations at which the Newton method
+ * should aim at.
+ *
+ * This is used to control the time-step size. The heuristic used
+ * is to scale the last time-step size by the deviation of the
+ * number of iterations used from the target steps.
+ *
+ * \param targetSteps Number of iterations which are considered "optimal"
+ */
+ void setTargetSteps(int targetSteps)
+ { targetSteps_ = targetSteps; }
+
+ /*!
+ * \brief Set the number of iterations after which the Newton
+ * method gives up.
+ *
+ * \param maxSteps Number of iterations after we give up
+ */
+ void setMaxSteps(int maxSteps)
+ { maxSteps_ = maxSteps; }
+
+ /*!
+ * \brief Returns true if another iteration should be done.
+ *
+ * \param uCurrentIter The solution of the current Newton iteration
+ */
+ bool newtonProceed(const SolutionVector &uCurrentIter)
+ {
+ if (numSteps_ < 2)
+ return true; // we always do at least two iterations
+ else if (asImp_().newtonConverged()) {
+ return false; // we are below the desired tolerance
+ }
+ else if (numSteps_ >= maxSteps_) {
+ // We have exceeded the allowed number of steps. If the
+ // maximum relative shift was reduced by a factor of at least 4,
+ // we proceed even if we are above the maximum number of steps.
+ if (enableShiftCriterion_)
+ return shift_*4.0 < lastShift_;
+ else
+ return reduction_*4.0 < lastReduction_;
+ }
+
+ return true;
+ }
+
+ /*!
+ * \brief Returns true if the error of the solution is below the
+ * tolerance.
+ */
+ bool newtonConverged() const
+ {
+ if (enableShiftCriterion_ && !enableResidualCriterion_)
+ {
+ return shift_ <= shiftTolerance_;
+ }
+ else if (!enableShiftCriterion_ && enableResidualCriterion_)
+ {
+ return reduction_ <= reductionTolerance_;
+ }
+ else if (satisfyResidualAndShiftCriterion_)
+ {
+ return shift_ <= shiftTolerance_
+ && reduction_ <= reductionTolerance_;
+ }
+ else
+ {
+ return shift_ <= shiftTolerance_
+ || reduction_ <= reductionTolerance_;
+ }
+
+ return false;
+ }
+
+ /*!
+ * \brief Called before the Newton method is applied to an
+ * non-linear system of equations.
+ *
+ * \param method The object where the NewtonMethod is executed
+ * \param u The initial solution
+ */
+ void newtonBegin(NewtonMethod &method, const SolutionVector &u)
+ {
+ method_ = &method;
+ numSteps_ = 0;
+ }
+
+ /*!
+ * \brief Indicates the beginning of a Newton iteration.
+ */
+ void newtonBeginStep()
+ {
+ lastShift_ = shift_;
+ if (numSteps_ == 0)
+ {
+ lastReduction_ = 1.0;
+ }
+ else
+ {
+ lastReduction_ = reduction_;
+ }
+ }
+
+ /*!
+ * \brief Returns the number of steps done since newtonBegin() was
+ * called.
+ */
+ int newtonNumSteps()
+ { return numSteps_; }
+
+ /*!
+ * \brief Update the maximum relative shift of the solution compared to
+ * the previous iteration.
+ *
+ * \param uLastIter The current iterative solution
+ * \param deltaU The difference between the current and the next solution
+ */
+ void newtonUpdateShift(const SolutionVector &uLastIter,
+ const SolutionVector &deltaU)
+ {
+ shift_ = 0;
+
+ for (std::size_t i = 0; i < uLastIter[bulkIdx].size(); ++i)
+ {
+ auto uNewI = uLastIter[bulkIdx][i];
+ uNewI -= deltaU[bulkIdx][i];
+
+ const Scalar shiftAtDof = model_().relativeShiftAtDof(uLastIter[bulkIdx][i],
+ uNewI);
+ shift_ = std::max(shift_, shiftAtDof);
+ }
+
+ for (std::size_t i = 0; i < uLastIter[lowDimIdx].size(); ++i)
+ {
+ auto uNewI = uLastIter[lowDimIdx][i];
+ uNewI -= deltaU[lowDimIdx][i];
+
+ const Scalar shiftAtDof = model_().relativeShiftAtDof(uLastIter[lowDimIdx][i],
+ uNewI);
+ shift_ = std::max(shift_, shiftAtDof);
+ }
+ }
+
+ /*!
+ * \brief Solve the linear system of equations \f$\mathbf{A}x - b = 0\f$.
+ *
+ * Throws Dumux::NumericalProblem if the linear solver didn't
+ * converge.
+ *
+ * If the linear solver doesn't accept multitype matrices we copy the matrix
+ * into a 1x1 block BCRS matrix for solving.
+ *
+ * \param A The matrix of the linear system of equations
+ * \param x The vector which solves the linear system
+ * \param b The right hand side of the linear system
+ */
+ template<typename T = TypeTag>
+ typename std::enable_if<!LinearSolverAcceptsMultiTypeMatrix<T>::value, void>::type
+ newtonSolveLinear(JacobianMatrix &A,
+ SolutionVector &x,
+ SolutionVector &b)
+ {
+ try
+ {
+ if (numSteps_ == 0)
+ initialResidual_ = b.two_norm();
+
+ // copy the matrix and the vector to types the IterativeSolverBackend can handle
+ using MatrixBlock = typename Dune::FieldMatrix<Scalar, 1, 1>;
+ using SparseMatrix = typename Dune::BCRSMatrix<MatrixBlock>;
+
+ // get the new matrix sizes
+ std::size_t numRows = numEqBulk*A[bulkIdx][bulkIdx].N() + numEqLowDim*A[lowDimIdx][bulkIdx].N();
+ std::size_t numCols = numEqBulk*A[bulkIdx][bulkIdx].M() + numEqLowDim*A[bulkIdx][lowDimIdx].M();
+
+ // check matrix sizes
+ assert(A[bulkIdx][bulkIdx].N() == A[bulkIdx][lowDimIdx].N());
+ assert(A[lowDimIdx][bulkIdx].N() == A[lowDimIdx][lowDimIdx].N());
+ assert(numRows == numCols);
+
+ // create the bcrs matrix the IterativeSolver backend can handle
+ auto M = SparseMatrix(numRows, numCols, SparseMatrix::random);
+
+ // set the rowsizes
+ // A11 and A12
+ for (auto row = A[bulkIdx][bulkIdx].begin(); row != A[bulkIdx][bulkIdx].end(); ++row)
+ for (std::size_t i = 0; i < numEqBulk; ++i)
+ M.setrowsize(numEqBulk*row.index() + i, row->size()*numEqBulk);
+ for (auto row = A[bulkIdx][lowDimIdx].begin(); row != A[bulkIdx][lowDimIdx].end(); ++row)
+ for (std::size_t i = 0; i < numEqBulk; ++i)
+ M.setrowsize(numEqBulk*row.index() + i, M.getrowsize(numEqBulk*row.index() + i) + row->size()*numEqLowDim);
+ // A21 and A22
+ for (auto row = A[lowDimIdx][bulkIdx].begin(); row != A[lowDimIdx][bulkIdx].end(); ++row)
+ for (std::size_t i = 0; i < numEqLowDim; ++i)
+ M.setrowsize(numEqLowDim*row.index() + i + A[bulkIdx][bulkIdx].N()*numEqBulk, row->size()*numEqBulk);
+ for (auto row = A[lowDimIdx][lowDimIdx].begin(); row != A[lowDimIdx][lowDimIdx].end(); ++row)
+ for (std::size_t i = 0; i < numEqLowDim; ++i)
+ M.setrowsize(numEqLowDim*row.index() + i + A[bulkIdx][bulkIdx].N()*numEqBulk, M.getrowsize(numEqLowDim*row.index() + i + A[bulkIdx][bulkIdx].N()*numEqBulk) + row->size()*numEqLowDim);
+ M.endrowsizes();
+
+ // set the indices
+ for (auto row = A[bulkIdx][bulkIdx].begin(); row != A[bulkIdx][bulkIdx].end(); ++row)
+ for (auto col = row->begin(); col != row->end(); ++col)
+ for (std::size_t i = 0; i < numEqBulk; ++i)
+ for (std::size_t j = 0; j < numEqBulk; ++j)
+ M.addindex(row.index()*numEqBulk + i, col.index()*numEqBulk + j);
+
+ for (auto row = A[bulkIdx][lowDimIdx].begin(); row != A[bulkIdx][lowDimIdx].end(); ++row)
+ for (auto col = row->begin(); col != row->end(); ++col)
+ for (std::size_t i = 0; i < numEqBulk; ++i)
+ for (std::size_t j = 0; j < numEqLowDim; ++j)
+ M.addindex(row.index()*numEqBulk + i, col.index()*numEqLowDim + j + A[bulkIdx][bulkIdx].M()*numEqBulk);
+
+ for (auto row = A[lowDimIdx][bulkIdx].begin(); row != A[lowDimIdx][bulkIdx].end(); ++row)
+ for (auto col = row->begin(); col != row->end(); ++col)
+ for (std::size_t i = 0; i < numEqLowDim; ++i)
+ for (std::size_t j = 0; j < numEqBulk; ++j)
+ M.addindex(row.index()*numEqLowDim + i + A[bulkIdx][bulkIdx].N()*numEqBulk, col.index()*numEqBulk + j);
+
+ for (auto row = A[lowDimIdx][lowDimIdx].begin(); row != A[lowDimIdx][lowDimIdx].end(); ++row)
+ for (auto col = row->begin(); col != row->end(); ++col)
+ for (std::size_t i = 0; i < numEqLowDim; ++i)
+ for (std::size_t j = 0; j < numEqLowDim; ++j)
+ M.addindex(row.index()*numEqLowDim + i + A[bulkIdx][bulkIdx].N()*numEqBulk, col.index()*numEqLowDim + j + A[bulkIdx][bulkIdx].M()*numEqBulk);
+ M.endindices();
+
+ // copy values
+ for (auto row = A[bulkIdx][bulkIdx].begin(); row != A[bulkIdx][bulkIdx].end(); ++row)
+ for (auto col = row->begin(); col != row->end(); ++col)
+ for (std::size_t i = 0; i < numEqBulk; ++i)
+ for (std::size_t j = 0; j < numEqBulk; ++j)
+ M[row.index()*numEqBulk + i][col.index()*numEqBulk + j] = A[bulkIdx][bulkIdx][row.index()][col.index()][i][j];
+
+ for (auto row = A[bulkIdx][lowDimIdx].begin(); row != A[bulkIdx][lowDimIdx].end(); ++row)
+ for (auto col = row->begin(); col != row->end(); ++col)
+ for (std::size_t i = 0; i < numEqBulk; ++i)
+ for (std::size_t j = 0; j < numEqLowDim; ++j)
+ M[row.index()*numEqBulk + i][col.index()*numEqLowDim + j + A[bulkIdx][bulkIdx].M()*numEqBulk] = A[bulkIdx][lowDimIdx][row.index()][col.index()][i][j];
+
+ for (auto row = A[lowDimIdx][bulkIdx].begin(); row != A[lowDimIdx][bulkIdx].end(); ++row)
+ for (auto col = row->begin(); col != row->end(); ++col)
+ for (std::size_t i = 0; i < numEqLowDim; ++i)
+ for (std::size_t j = 0; j < numEqBulk; ++j)
+ M[row.index()*numEqLowDim + i + A[bulkIdx][bulkIdx].N()*numEqBulk][col.index()*numEqBulk + j] = A[lowDimIdx][bulkIdx][row.index()][col.index()][i][j];
+
+ for (auto row = A[lowDimIdx][lowDimIdx].begin(); row != A[lowDimIdx][lowDimIdx].end(); ++row)
+ for (auto col = row->begin(); col != row->end(); ++col)
+ for (std::size_t i = 0; i < numEqLowDim; ++i)
+ for (std::size_t j = 0; j < numEqLowDim; ++j)
+ M[row.index()*numEqLowDim + i + A[bulkIdx][bulkIdx].N()*numEqBulk][col.index()*numEqLowDim + j + A[bulkIdx][bulkIdx].M()*numEqBulk] = A[lowDimIdx][lowDimIdx][row.index()][col.index()][i][j];
+
+ // create the vector the IterativeSolver backend can handle
+ using VectorBlock = typename Dune::FieldVector<Scalar, 1>;
+ using BlockVector = typename Dune::BlockVector<VectorBlock>;
+
+ BlockVector y, bTmp;
+ y.resize(numRows);
+ bTmp.resize(numCols);
+ for (std::size_t i = 0; i < b[bulkIdx].N(); ++i)
+ for (std::size_t j = 0; j < numEqBulk; ++j)
+ bTmp[i*numEqBulk + j] = b[bulkIdx][i][j];
+ for (std::size_t i = 0; i < b[lowDimIdx].N(); ++i)
+ for (std::size_t j = 0; j < numEqLowDim; ++j)
+ bTmp[i*numEqLowDim + j + b[bulkIdx].N()*numEqBulk] = b[lowDimIdx][i][j];
+
+ // solve
+ bool converged = linearSolver_.solve(M, y, bTmp);
+
+ // copy back the result y into x
+ for (std::size_t i = 0; i < x[bulkIdx].N(); ++i)
+ for (std::size_t j = 0; j < numEqBulk; ++j)
+ x[bulkIdx][i][j] = y[i*numEqBulk + j];
+ for (std::size_t i = 0; i < x[lowDimIdx].N(); ++i)
+ for (std::size_t j = 0; j < numEqLowDim; ++j)
+ x[lowDimIdx][i][j] = y[i*numEqLowDim + j + x[bulkIdx].N()*numEqBulk];
+
+ if (!converged)
+ DUNE_THROW(NumericalProblem, "Linear solver did not converge");
+ }
+ catch (const Dune::Exception &e)
+ {
+ Dumux::NumericalProblem p;
+ p.message(e.what());
+ throw p;
+ }
+ }
+
+ /*!
+ * \brief Solve the linear system of equations \f$\mathbf{A}x - b = 0\f$.
+ *
+ * Throws Dumux::NumericalProblem if the linear solver didn't
+ * converge.
+ *
+ * \param A The matrix of the linear system of equations
+ * \param x The vector which solves the linear system
+ * \param b The right hand side of the linear system
+ */
+ template<typename T = TypeTag>
+ typename std::enable_if<LinearSolverAcceptsMultiTypeMatrix<T>::value, void>::type
+ newtonSolveLinear(JacobianMatrix &A,
+ SolutionVector &x,
+ SolutionVector &b)
+ {
+ try
+ {
+ if (numSteps_ == 0)
+ initialResidual_ = b.two_norm();
+
+ bool converged = linearSolver_.solve(A, x, b);
+
+ if (!converged)
+ DUNE_THROW(NumericalProblem, "Linear solver did not converge");
+ }
+ catch (const Dune::Exception &e)
+ {
+ Dumux::NumericalProblem p;
+ p.message(e.what());
+ throw p;
+ }
+ }
+
+ /*!
+ * \brief Update the current solution with a delta vector.
+ *
+ * The error estimates required for the newtonConverged() and
+ * newtonProceed() methods should be updated inside this method.
+ *
+ * Different update strategies, such as line search and chopped
+ * updates can be implemented. The default behavior is just to
+ * subtract deltaU from uLastIter, i.e.
+ * \f[ u^{k+1} = u^k - \Delta u^k \f]
+ *
+ * \param uCurrentIter The solution vector after the current iteration
+ * \param uLastIter The solution vector after the last iteration
+ * \param deltaU The delta as calculated from solving the linear
+ * system of equations. This parameter also stores
+ * the updated solution.
+ */
+ void newtonUpdate(SolutionVector &uCurrentIter,
+ const SolutionVector &uLastIter,
+ const SolutionVector &deltaU)
+ {
+ if (enableShiftCriterion_)
+ newtonUpdateShift(uLastIter, deltaU);
+
+ if (useLineSearch_)
+ lineSearchUpdate_(uCurrentIter, uLastIter, deltaU);
+ else
+ {
+ for (std::size_t i = 0; i < uLastIter[bulkIdx].size(); ++i)
+ {
+ uCurrentIter[bulkIdx][i] = uLastIter[bulkIdx][i];
+ uCurrentIter[bulkIdx][i] -= deltaU[bulkIdx][i];
+ }
+ for (std::size_t i = 0; i < uLastIter[lowDimIdx].size(); ++i)
+ {
+ uCurrentIter[lowDimIdx][i] = uLastIter[lowDimIdx][i];
+ uCurrentIter[lowDimIdx][i] -= deltaU[lowDimIdx][i];
+ }
+
+ if (enableResidualCriterion_)
+ {
+ SolutionVector tmp(uLastIter);
+ reduction_ = model_().globalResidual(tmp, uCurrentIter);
+ reduction_ /= initialResidual_;
+ }
+ }
+
+ // copy the global solution to the sub problems
+ model_().copySolutionToSubProblems();
+ }
+
+ /*!
+ * \brief Indicates that one Newton iteration was finished.
+ *
+ * \param uCurrentIter The solution after the current Newton iteration
+ * \param uLastIter The solution at the beginning of the current Newton iteration
+ */
+ void newtonEndStep(const SolutionVector &uCurrentIter,
+ const SolutionVector &uLastIter)
+ {
+ // Eventuall update the volume variables
+ this->model_().newtonEndStep();
+
+ ++numSteps_;
+
+ if (verbose())
+ {
+ std::cout << "\rNewton iteration " << numSteps_ << " done";
+ if (enableShiftCriterion_)
+ std::cout << ", maximum relative shift = " << shift_;
+ if (enableResidualCriterion_)
+ std::cout << ", residual reduction = " << reduction_;
+ std::cout << endIterMsg().str() << "\n";
+ }
+ endIterMsgStream_.str("");
+
+ // When the newton iteration is done: ask the model to check if it makes sense.
+ model_().checkPlausibility();
+ }
+
+ /*!
+ * \brief Indicates that we're done solving the non-linear system
+ * of equations.
+ */
+ void newtonEnd()
+ {}
+
+ /*!
+ * \brief Called if the Newton method broke down.
+ *
+ * This method is called _after_ newtonEnd()
+ */
+ void newtonFail()
+ {
+ numSteps_ = targetSteps_*2;
+ }
+
+ /*!
+ * \brief Called when the Newton method was successful.
+ *
+ * This method is called _after_ newtonEnd()
+ */
+ void newtonSucceed()
+ {}
+
+ /*!
+ * \brief Suggest a new time-step size based on the old time-step
+ * size.
+ *
+ * The default behavior is to suggest the old time-step size
+ * scaled by the ratio between the target iterations and the
+ * iterations required to actually solve the last time-step.
+ */
+ Scalar suggestTimeStepSize(Scalar oldTimeStep) const
+ {
+ // be aggressive reducing the time-step size but
+ // conservative when increasing it. the rationale is
+ // that we want to avoid failing in the next Newton
+ // iteration which would require another linearization
+ // of the problem.
+ if (numSteps_ > targetSteps_) {
+ Scalar percent = Scalar(numSteps_ - targetSteps_)/targetSteps_;
+ return oldTimeStep/(1.0 + percent);
+ }
+
+ Scalar percent = Scalar(targetSteps_ - numSteps_)/targetSteps_;
+ return oldTimeStep*(1.0 + percent/1.2);
+ }
+
+ /*!
+ * \brief Returns a reference to the current Newton method
+ * which is controlled by this controller.
+ */
+ NewtonMethod &method()
+ { return *method_; }
+
+ /*!
+ * \brief Returns a reference to the current Newton method
+ * which is controlled by this controller.
+ */
+ const NewtonMethod &method() const
+ { return *method_; }
+
+ std::ostringstream &endIterMsg()
+ { return endIterMsgStream_; }
+
+ /*!
+ * \brief Specifies if the Newton method ought to be chatty.
+ */
+ void setVerbose(bool val)
+ { verbose_ = val; }
+
+ /*!
+ * \brief Returns true if the Newton method ought to be chatty.
+ */
+ bool verbose() const
+ { return verbose_; }
+
+protected:
+
+ /*!
+ * \brief Returns a reference to the problem.
+ */
+ Problem &problem_()
+ { return method_->problem(); }
+
+ /*!
+ * \brief Returns a reference to the problem.
+ */
+ const Problem &problem_() const
+ { return method_->problem(); }
+
+ /*!
+ * \brief Returns a reference to the time manager.
+ */
+ TimeManager &timeManager_()
+ { return problem_().timeManager(); }
+
+ /*!
+ * \brief Returns a reference to the time manager.
+ */
+ const TimeManager &timeManager_() const
+ { return problem_().timeManager(); }
+
+ /*!
+ * \brief Returns a reference to the problem.
+ */
+ Model &model_()
+ { return problem_().model(); }
+
+ /*!
+ * \brief Returns a reference to the problem.
+ */
+ const Model &model_() const
+ { return problem_().model(); }
+
+ // returns the actual implementation for the controller we do
+ // it this way in order to allow "poor man's virtual methods",
+ // i.e. methods of subclasses which can be called by the base
+ // class.
+ Implementation &asImp_()
+ { return *static_cast<Implementation*>(this); }
+ const Implementation &asImp_() const
+ { return *static_cast<const Implementation*>(this); }
+
+ void lineSearchUpdate_(SolutionVector &uCurrentIter,
+ const SolutionVector &uLastIter,
+ const SolutionVector &deltaU)
+ {
+ Scalar lambda = 1.0;
+ SolutionVector tmp(uLastIter);
+
+ while (true)
+ {
+ uCurrentIter = deltaU;
+ uCurrentIter *= -lambda;
+ uCurrentIter += uLastIter;
+
+ // calculate the residual of the current solution
+ reduction_ = this->method().model().globalResidual(tmp, uCurrentIter);
+ reduction_ /= initialResidual_;
+
+ if (reduction_ < lastReduction_ || lambda <= 0.125)
+ {
+ this->endIterMsg() << ", residual reduction " << lastReduction_ << "->" << reduction_ << "@lambda=" << lambda;
+ return;
+ }
+
+ // try with a smaller update
+ lambda /= 2.0;
+ }
+ }
+
+ std::ostringstream endIterMsgStream_;
+
+ NewtonMethod *method_;
+ bool verbose_;
+
+ // shift criterion variables
+ Scalar shift_;
+ Scalar lastShift_;
+ Scalar shiftTolerance_;
+
+ // residual criterion variables
+ Scalar reduction_;
+ Scalar lastReduction_;
+ Scalar initialResidual_;
+ Scalar reductionTolerance_;
+
+ // optimal number of iterations we want to achieve
+ int targetSteps_;
+ // maximum number of iterations we do before giving up
+ int maxSteps_;
+ // actual number of steps done so far
+ int numSteps_;
+
+ // the linear solver
+ LinearSolver linearSolver_;
+
+ bool useLineSearch_;
+ bool enableShiftCriterion_;
+ bool enableResidualCriterion_;
+ bool satisfyResidualAndShiftCriterion_;
+};
+
+} // namespace Dumux
+
+#endif
diff --git a/dumux/mixeddimension/problem.hh b/dumux/mixeddimension/problem.hh
new file mode 100644
index 0000000000..d0e7292231
--- /dev/null
+++ b/dumux/mixeddimension/problem.hh
@@ -0,0 +1,583 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ * See the file COPYING for full copying permissions. *
+ * *
+ * This program is free software: you can redistribute it and/or modify *
+ * it under the terms of the GNU General Public License as published by *
+ * the Free Software Foundation, either version 2 of the License, or *
+ * (at your option) any later version. *
+ * *
+ * This program is distributed in the hope that it will be useful, *
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of *
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
+ * GNU General Public License for more details. *
+ * *
+ * You should have received a copy of the GNU General Public License *
+ * along with this program. If not, see <http://www.gnu.org/licenses/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ * \ingroup MixedDimension
+ * \brief Base class for problems with which involve two sub problems
+ * of different dimensions.
+ */
+
+#ifndef DUMUX_MIXEDDIMENSION_PROBLEM_HH
+#define DUMUX_MIXEDDIMENSION_PROBLEM_HH
+
+#include <dune/common/exceptions.hh>
+#include <dumux/common/exceptions.hh>
+#include <dumux/mixeddimension/properties.hh>
+#include <dumux/mixeddimension/model.hh>
+
+namespace Dumux
+{
+
+/*!
+ * \ingroup MixedDimension
+ * \brief Base class for probems which involve two sub problems of different dimensions
+ */
+template<class TypeTag>
+class MixedDimensionProblem
+{
+ typedef typename GET_PROP_TYPE(TypeTag, Problem) Implementation;
+ typedef typename GET_PROP_TYPE(TypeTag, TimeManager) TimeManager;
+ typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+ typedef typename GET_PROP_TYPE(TypeTag, CouplingManager) CouplingManager;
+ typedef typename GET_PROP_TYPE(TypeTag, NewtonMethod) NewtonMethod;
+ typedef typename GET_PROP_TYPE(TypeTag, NewtonController) NewtonController;
+ typedef typename GET_PROP_TYPE(TypeTag, Model) Model;
+
+ // obtain the type tags of the sub problems
+ typedef typename GET_PROP_TYPE(TypeTag, BulkProblemTypeTag) BulkProblemTypeTag;
+ typedef typename GET_PROP_TYPE(TypeTag, LowDimProblemTypeTag) LowDimProblemTypeTag;
+
+ // obtain types from the sub problem type tags
+ typedef typename GET_PROP_TYPE(BulkProblemTypeTag, Problem) BulkProblem;
+ typedef typename GET_PROP_TYPE(LowDimProblemTypeTag, Problem) LowDimProblem;
+
+ typedef typename GET_PROP_TYPE(BulkProblemTypeTag, TimeManager) BulkTimeManager;
+ typedef typename GET_PROP_TYPE(LowDimProblemTypeTag, TimeManager) LowDimTimeManager;
+
+ typedef typename GET_PROP_TYPE(BulkProblemTypeTag, GridView) BulkGridView;
+ typedef typename GET_PROP_TYPE(LowDimProblemTypeTag, GridView) LowDimGridView;
+
+ typedef typename GET_PROP_TYPE(BulkProblemTypeTag, SolutionVector) BulkSolutionVector;
+ typedef typename GET_PROP_TYPE(LowDimProblemTypeTag, SolutionVector) LowDimSolutionVector;
+
+public:
+ MixedDimensionProblem(TimeManager &timeManager,
+ const BulkGridView &bulkGridView,
+ const LowDimGridView &lowDimGridView)
+ : timeManager_(timeManager),
+ bulkGridView_(bulkGridView),
+ lowDimGridView_(lowDimGridView),
+ bulkProblem_(bulkTimeManager_, bulkGridView),
+ lowDimProblem_(lowDimTimeManager_, lowDimGridView),
+ couplingManager_(std::make_shared<CouplingManager>(bulkProblem_, lowDimProblem_)),
+ newtonMethod_(asImp_()),
+ newtonCtl_(asImp_())
+ {
+ // check if we got the right dimensions
+ static_assert(int(BulkGridView::dimension) > int(LowDimGridView::dimension), "The bulk grid dimension has to be greater than the low-dimensional grid dimension.");
+ static_assert(int(BulkGridView::dimensionworld) == int(LowDimGridView::dimensionworld), "The subproblems have to live in the same world dimension.");
+
+ // iterative or monolithic
+ useIterativeSolver_ = GET_PARAM_FROM_GROUP(TypeTag, bool, MixedDimension, UseIterativeSolver);
+
+ // read data from the input file
+ name_ = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, std::string, Problem, Name);
+ episodeTime_ = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, TimeManager, EpisodeTime);
+ maxTimeStepSize_ = GET_PARAM_FROM_GROUP(TypeTag, Scalar, TimeManager, MaxTimeStepSize);
+
+ if (useIterativeSolver_)
+ {
+ maxIterations_ = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, int, IterativeAlgorithm, MaxIterations);
+ tolerance_ = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, IterativeAlgorithm, Tolerance);
+ verbose_ = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, bool, IterativeAlgorithm, Verbose);
+ }
+ }
+
+ /*!
+ * \brief Called by the Dumux::TimeManager in order to
+ * initialize the problem and the sub-problems.
+ *
+ * If you overload this method don't forget to call
+ * ParentType::init()
+ */
+ void init()
+ {
+ Scalar tStart = timeManager().time();
+ Scalar tEnd = timeManager().endTime();
+
+ const bool restart = tStart > 0;
+
+ Scalar dtBulkProblem;
+ Scalar dtLowDimProblem;
+
+ // get initial time step size for the subproblems
+ if (useIterativeSolver_)
+ {
+ dtBulkProblem = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, TimeManager, DtInitialBulkProblem);
+ dtLowDimProblem = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, TimeManager, DtInitialLowDimProblem);
+ }
+ else
+ {
+ dtBulkProblem = timeManager().timeStepSize();
+ dtLowDimProblem = timeManager().timeStepSize();
+ }
+
+ // start new episode
+ // episode are used to keep the subproblems in sync. At the end of each episode
+ // of the coupled problem the subproblem need to arrive at the same time.
+ // this is relevant if the time step sizes of the subproblems are different.
+ timeManager().startNextEpisode(episodeTime_);
+ bulkTimeManager().startNextEpisode(episodeTime_);
+ lowDimTimeManager().startNextEpisode(episodeTime_);
+
+ // initialize the problem coupler prior to the problems
+ couplingManager().preInit();
+
+ // set the coupling manager in the sub problems
+ bulkProblem().setCouplingManager(couplingManager_);
+ lowDimProblem().setCouplingManager(couplingManager_);
+
+ // initialize the subproblem time managers (this also initializes the subproblems)
+ bulkTimeManager().init(bulkProblem(), tStart, dtBulkProblem, tEnd, restart);
+ lowDimTimeManager().init(lowDimProblem(), tStart, dtLowDimProblem, tEnd, restart);
+
+ // finalize the problem coupler
+ couplingManager().postInit();
+
+ if (!useIterativeSolver_)
+ model().init(asImp_());
+ }
+
+ /*!
+ * \brief This method writes the complete state of the simulation
+ * to the harddisk.
+ *
+ * The file will start with the prefix returned by the name()
+ * method, has the current time of the simulation clock in it's
+ * name and uses the extension <tt>.drs</tt>. (Dumux ReStart
+ * file.) See Dumux::Restart for details.
+ */
+ void serialize()
+ {}
+
+ /*!
+ * \brief Called by the time manager before the time integration.
+ */
+ void preTimeStep()
+ {
+ if (useIterativeSolver_)
+ {
+ previousSolBulk_ = bulkProblem().model().curSol();
+ previousSolLowDim_ = lowDimProblem().model().curSol();
+ }
+ else
+ {
+ bulkProblem().preTimeStep();
+ lowDimProblem().preTimeStep();
+ }
+ }
+
+ /*!
+ * \brief Called by Dumux::TimeManager in order to do a time
+ * integration on the model. Algorithms for the time integration are
+ * implemented here.
+ */
+ void timeIntegration()
+ {
+ if (useIterativeSolver_)
+ asImp_().timeIntegrationIterative();
+ else
+ asImp_().timeIntegrationMonolithic();
+ }
+
+ /*!
+ * \brief Time integration for the iterative solver.
+ */
+ void timeIntegrationIterative()
+ {
+ std::cout << std::endl;
+ std::cout << "Start coupled time integration starting at t = " << timeManager().time() << std::endl;
+
+ Scalar error = 1.0;
+ Scalar pBulkNorm = 0.0;
+ Scalar pLowDimNorm = 0.0;
+ BulkSolutionVector solBulkDiff;
+ LowDimSolutionVector solLowDimDiff;
+ int iterations = 0;
+
+ if(verbose_)
+ std::cout << "Starting iterative algorithm "
+ << "with tolerance = " << tolerance_
+ << " and max iterations = " << maxIterations_ << std::endl;
+
+ // iterative algorithm within each time step
+ while(error > tolerance_)
+ {
+ if(iterations >= maxIterations_)
+ DUNE_THROW(Dumux::NumericalProblem, "Iterative algorithm didn't converge in " + std::to_string(maxIterations_) + " iterations!");
+
+ // run the bulk model
+ if(verbose_) std::cout << "Solving the bulk problem " << bulkProblem().name() << std::endl;
+ bulkTimeManager().setTime(timeManager().time(), 0);
+ bulkTimeManager().setEndTime(timeManager().time() + timeManager().timeStepSize());
+ bulkTimeManager().setTimeStepSize(bulkTimeManager().previousTimeStepSize());
+ bulkTimeManager().run(); // increases the time step index
+
+ // run the low dimensional problem
+ if(verbose_) std::cout << "Solving the low-dimensional problem " << lowDimProblem().name() << std::endl;
+ lowDimTimeManager().setTime(timeManager().time(), 0);
+ lowDimTimeManager().setEndTime(timeManager().time() + timeManager().timeStepSize());
+ lowDimTimeManager().setTimeStepSize(lowDimTimeManager().previousTimeStepSize());
+ lowDimTimeManager().run(); // increases the time step index
+
+ // get current solution
+ currentSolBulk_ = bulkProblem().model().curSol();
+ currentSolLowDim_ = lowDimProblem().model().curSol();
+
+ // calculate discrete l2-norm of pressure
+ solBulkDiff = previousSolBulk_;
+ solBulkDiff -= currentSolBulk_;
+ solLowDimDiff = previousSolLowDim_;
+ solLowDimDiff -= currentSolLowDim_;
+
+ pBulkNorm = solBulkDiff.infinity_norm()/currentSolBulk_.infinity_norm();
+ pLowDimNorm = solLowDimDiff.infinity_norm()/currentSolLowDim_.infinity_norm();
+
+ // calculate the error
+ error = pBulkNorm + pLowDimNorm;
+
+ // update the previous solution
+ previousSolBulk_ = currentSolBulk_;
+ previousSolLowDim_ = currentSolLowDim_;
+
+ iterations++;
+
+ if(verbose_)
+ {
+ std::cout << "Iteration " << iterations << " done "
+ << "with maximum relative shift in bulk domain = " << pBulkNorm
+ << " and maximum relative shift in lower-dimensional domain = " << pLowDimNorm
+ << " | total error = " << error << std::endl;
+ }
+
+ }// end while(error > tolerance_)
+
+ if(verbose_)
+ {
+ std::cout << "Iterative algorithm finished with " << iterations << " iterations "
+ << "and total error = " << error << std::endl;
+ }
+ }
+
+ /*!
+ * \brief Time integration for the monolithic solver.
+ */
+ void timeIntegrationMonolithic()
+ {
+ const int maxFails = GET_PARAM_FROM_GROUP(TypeTag, int, Implicit, MaxTimeStepDivisions);
+
+ std::cout << std::endl;
+ std::cout << "Start coupled time integration starting at t = " << timeManager().time() << std::endl;
+
+ for (int i = 0; i < maxFails; ++i)
+ {
+ if (model().update(newtonMethod(), newtonController()))
+ return;
+
+ const Scalar dt = timeManager().timeStepSize();
+ const Scalar nextDt = dt / 2;
+ timeManager().setTimeStepSize(nextDt);
+ bulkTimeManager().setTimeStepSize(nextDt);
+ lowDimTimeManager().setTimeStepSize(nextDt);
+
+ // update failed
+ std::cout << "Newton solver did not converge with dt="<<dt<<" seconds. Retrying with time step of "
+ << nextDt << " seconds\n";
+ }
+
+ DUNE_THROW(Dune::MathError,
+ "Newton solver didn't converge after "
+ << maxFails
+ << " time-step divisions. dt="
+ << timeManager().timeStepSize());
+ }
+
+ /*!
+ * \brief Called by the time manager after the time integration to
+ * do some post processing on the solution.
+ */
+ void postTimeStep()
+ {
+ if (!useIterativeSolver_)
+ {
+ bulkProblem().postTimeStep();
+ lowDimProblem().postTimeStep();
+ }
+ }
+
+ /*!
+ * \brief Called by Dumux::TimeManager whenever a solution for a
+ * timestep has been computed and the simulation time has
+ * been updated.
+ */
+ Scalar nextTimeStepSize(const Scalar dt)
+ {
+ Scalar newDt = newtonCtl_.suggestTimeStepSize(dt);
+ bulkTimeManager().setTimeStepSize(newDt);
+ lowDimTimeManager().setTimeStepSize(newDt);
+
+ return newDt;
+ }
+
+ /*!
+ * \brief Returns true if the current solution should be written to
+ * disk (i.e. as a VTK file)
+ */
+ bool shouldWriteOutput() const
+ {
+ return (timeManager().episodeWillBeFinished() || timeManager().willBeFinished());
+ }
+
+ /*!
+ * \brief Returns true if the current state of the simulation
+ * should be written to disk
+ */
+ bool shouldWriteRestartFile() const
+ {
+ return false;
+ }
+
+ /*!
+ * \brief Returns the user specified maximum time step size
+ *
+ * Overload in problem for custom needs.
+ */
+ Scalar maxTimeStepSize() const
+ {
+ return maxTimeStepSize_;
+ }
+
+ /*!
+ * \brief Called by the time manager after the end of an episode.
+ */
+ void episodeEnd()
+ {
+ timeManager().startNextEpisode(episodeTime_);
+ bulkTimeManager().startNextEpisode(episodeTime_);
+ lowDimTimeManager().startNextEpisode(episodeTime_);
+
+ if (!useIterativeSolver_)
+ {
+ // set the initial time step size of a an episode to the last real time step size before the episode
+ Scalar nextDt = std::max(timeManager().previousTimeStepSize(), timeManager().timeStepSize());
+ bulkTimeManager().setTimeStepSize(nextDt);
+ lowDimTimeManager().setTimeStepSize(nextDt);
+ }
+ }
+
+ /*!
+ * \brief The problem name.
+ *
+ * This is used as a prefix for files generated by the simulation.
+ * It could be either overwritten by the problem files, or simply
+ * declared over the setName() function in the application file.
+ */
+ const std::string name() const
+ {
+ return name_;
+ }
+
+ /*!
+ * \brief Called by the time manager after everything which can be
+ * done about the current time step is finished and the
+ * model should be prepared to do the next time integration.
+ */
+ void advanceTimeLevel()
+ {
+ model().advanceTimeLevel();
+
+ asImp_().bulkProblem().advanceTimeLevel();
+ asImp_().lowDimProblem().advanceTimeLevel();
+
+ if (!useIterativeSolver_)
+ {
+ // foward current time to the subproblems for correct output
+ bulkTimeManager().setTime(timeManager().time() + timeManager().timeStepSize(), timeManager().timeStepIndex()+1);
+ lowDimTimeManager().setTime(timeManager().time() + timeManager().timeStepSize(), timeManager().timeStepIndex()+1);
+ }
+ }
+
+ /*!
+ * \brief Write the relevant quantities of the current solution into
+ * an VTK output file.
+ */
+ void writeOutput()
+ {
+ // write the current result to disk
+ if (asImp_().shouldWriteOutput() && !(timeManager().time() < 0))
+ {
+ asImp_().bulkProblem().writeOutput();
+ asImp_().lowDimProblem().writeOutput();
+ }
+ }
+
+ /*!
+ * \brief Load a previously saved state of the whole simulation
+ * from disk.
+ *
+ * \param tRestart The simulation time on which the program was
+ * written to disk.
+ */
+ void restart(const Scalar tRestart)
+ {
+ DUNE_THROW(Dune::NotImplemented, "Restart mixeddimension simulations.");
+ }
+
+ //! Returns the leafGridView of the bulk problem
+ const BulkGridView &bulkGridView() const
+ { return bulkGridView_; }
+
+ //! Returns the leafGridView of the low dimensional problem
+ const LowDimGridView &lowDimGridView() const
+ { return lowDimGridView_; }
+
+ //! Returns the time manager of the mixeddimension problem
+ const TimeManager &timeManager() const
+ { return timeManager_; }
+
+ //! Returns the time manager of the mixeddimension problem
+ TimeManager &timeManager()
+ { return timeManager_; }
+
+ //! Returns a reference to the bulk problem
+ BulkProblem &bulkProblem()
+ { return bulkProblem_; }
+
+ //! Returns a const reference to the bulk problem
+ const BulkProblem &bulkProblem() const
+ { return bulkProblem_; }
+
+ //! Returns a reference to the low dimensional problem
+ LowDimProblem &lowDimProblem()
+ { return lowDimProblem_; }
+
+ //! Returns a const reference to the low dimensional problem
+ const LowDimProblem &lowDimProblem() const
+ { return lowDimProblem_; }
+
+ //! Returns a const reference to the bulk time manager
+ const BulkTimeManager &bulkTimeManager() const
+ { return bulkTimeManager_; }
+
+ //! Returns a reference to the bulk time manager
+ BulkTimeManager &bulkTimeManager()
+ { return bulkTimeManager_; }
+
+ //! Returns a const reference to the low dimensional time manager
+ const LowDimTimeManager &lowDimTimeManager() const
+ { return lowDimTimeManager_; }
+
+ //! Returns a reference to the low dimensional time manager
+ LowDimTimeManager &lowDimTimeManager()
+ { return lowDimTimeManager_; }
+
+ //! Return reference to the coupling manager
+ CouplingManager &couplingManager()
+ { return *couplingManager_; }
+
+ //! Return const reference to the coupling manager
+ const CouplingManager &couplingManager() const
+ { return *couplingManager_; }
+
+ /*!
+ * \brief Returns numerical model used for the problem.
+ */
+ Model &model()
+ { return model_; }
+
+ /*!
+ * \copydoc model()
+ */
+ const Model &model() const
+ { return model_; }
+
+ /*!
+ * \brief Returns the newton method object
+ */
+ NewtonMethod &newtonMethod()
+ { return newtonMethod_; }
+
+ /*!
+ * \copydoc newtonMethod()
+ */
+ const NewtonMethod &newtonMethod() const
+ { return newtonMethod_; }
+
+ /*!
+ * \brief Returns the newton contoller object
+ */
+ NewtonController &newtonController()
+ { return newtonCtl_; }
+
+ /*!
+ * \copydoc newtonController()
+ */
+ const NewtonController &newtonController() const
+ { return newtonCtl_; }
+
+private:
+
+ //! Returns the implementation of the problem (i.e. static polymorphism)
+ Implementation &asImp_()
+ { return *static_cast<Implementation *>(this); }
+
+ //! Returns the implementation of the problem (i.e. static polymorphism)
+ const Implementation &asImp_() const
+ { return *static_cast<const Implementation *>(this); }
+
+ TimeManager &timeManager_;
+
+ BulkGridView bulkGridView_;
+ LowDimGridView lowDimGridView_;
+
+ BulkTimeManager bulkTimeManager_;
+ LowDimTimeManager lowDimTimeManager_;
+
+ Scalar maxTimeStepSize_;
+ BulkProblem bulkProblem_;
+ LowDimProblem lowDimProblem_;
+
+ BulkSolutionVector previousSolBulk_;
+ LowDimSolutionVector previousSolLowDim_;
+
+ BulkSolutionVector currentSolBulk_;
+ LowDimSolutionVector currentSolLowDim_;
+
+ std::shared_ptr<CouplingManager> couplingManager_;
+
+ Model model_;
+
+ NewtonMethod newtonMethod_;
+ NewtonController newtonCtl_;
+
+ Scalar episodeTime_;
+
+ bool useIterativeSolver_;
+
+ // for the iterative algorithm
+ int maxIterations_;
+ Scalar tolerance_;
+ bool verbose_;
+
+ std::string name_;
+};
+
+}//end namespace Dumux
+
+#endif
diff --git a/dumux/mixeddimension/properties.hh b/dumux/mixeddimension/properties.hh
new file mode 100644
index 0000000000..f74480c019
--- /dev/null
+++ b/dumux/mixeddimension/properties.hh
@@ -0,0 +1,200 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ * See the file COPYING for full copying permissions. *
+ * *
+ * This program is free software: you can redistribute it and/or modify *
+ * it under the terms of the GNU General Public License as published by *
+ * the Free Software Foundation, either version 2 of the License, or *
+ * (at your option) any later version. *
+ * *
+ * This program is distributed in the hope that it will be useful, *
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of *
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
+ * GNU General Public License for more details. *
+ * *
+ * You should have received a copy of the GNU General Public License *
+ * along with this program. If not, see <http://www.gnu.org/licenses/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ * \ingroup MixedDimension
+ * \brief Base properties for problems of mixed dimension
+ * two sub problems
+ */
+
+#ifndef DUMUX_MIXEDDIMENSION_PROPERTIES_HH
+#define DUMUX_MIXEDDIMENSION_PROPERTIES_HH
+
+#include <dune/common/fvector.hh>
+#include <dune/common/fmatrix.hh>
+#include <dune/common/indices.hh>
+#include <dune/istl/bcrsmatrix.hh>
+#include <dune/istl/multitypeblockvector.hh>
+#include <dune/istl/multitypeblockmatrix.hh>
+
+#include <dumux/common/basicproperties.hh>
+#include <dumux/linear/linearsolverproperties.hh>
+#include <dumux/nonlinear/newtonmethod.hh>
+#include <dumux/common/timemanager.hh>
+
+#include <dumux/mixeddimension/subproblemlocaljacobian.hh>
+
+namespace Dumux
+{
+
+// forward declarations
+template <class TypeTag> class MixedDimensionModel;
+// template <class TypeTag> class BulkLocalJacobian;
+// template <class TypeTag> class LowDimLocalJacobian;
+template <class TypeTag> class MixedDimensionNewtonController;
+template <class TypeTag> class MixedDimensionAssembler;
+
+namespace Properties
+{
+// NumericModel provides Scalar, GridCreator, ParameterTree
+NEW_TYPE_TAG(MixedDimension, INHERITS_FROM(NewtonMethod, LinearSolverTypeTag, NumericModel));
+
+NEW_PROP_TAG(Model); //!< The type of the base class of the model
+NEW_PROP_TAG(BulkLocalJacobian); //!< The type of the bulk local jacobian operator
+NEW_PROP_TAG(LowDimLocalJacobian); //!< The type of the low dim local jacobian operator
+
+NEW_PROP_TAG(SolutionVector); //!< Vector containing all primary variable vector of the grid
+
+NEW_PROP_TAG(JacobianAssembler); //!< Assembles the global jacobian matrix
+NEW_PROP_TAG(JacobianMatrix); //!< Type of the global jacobian matrix
+
+// high level simulation control
+NEW_PROP_TAG(TimeManager); //!< Manages the simulation time
+
+/*!
+ * \brief Specify which kind of method should be used to numerically
+ * calculate the partial derivatives of the residual.
+ *
+ * -1 means backward differences, 0 means central differences, 1 means
+ * forward differences. By default we use central differences.
+ */
+NEW_PROP_TAG(ImplicitNumericDifferenceMethod);
+
+//! the maximum allowed number of timestep divisions for the
+//! Newton solver
+NEW_PROP_TAG(ImplicitMaxTimeStepDivisions);
+
+// property tags that will be set in the problem at hand
+NEW_PROP_TAG(BulkProblemTypeTag);
+NEW_PROP_TAG(LowDimProblemTypeTag);
+NEW_PROP_TAG(Problem);
+NEW_PROP_TAG(CouplingManager);
+NEW_PROP_TAG(MixedDimensionUseIterativeSolver);
+NEW_PROP_TAG(SubProblemBlockIndices);
+
+// forward declarations
+NEW_PROP_TAG(NumEq);
+
+//////////////////////////////////////////////////////////////////
+// Properties
+//////////////////////////////////////////////////////////////////
+//! use the plain newton method by default
+SET_TYPE_PROP(MixedDimension, NewtonMethod, NewtonMethod<TypeTag>);
+
+//! set default values
+SET_TYPE_PROP(MixedDimension, NewtonController, MixedDimensionNewtonController<TypeTag>);
+
+//! Set the assembler
+SET_TYPE_PROP(MixedDimension, JacobianAssembler, MixedDimensionAssembler<TypeTag>);
+
+//! Set the BaseModel to MixedDimensionModel
+SET_TYPE_PROP(MixedDimension, Model, MixedDimensionModel<TypeTag>);
+
+//! The local jacobian operators
+SET_TYPE_PROP(MixedDimension, BulkLocalJacobian, BulkLocalJacobian<TypeTag>);
+SET_TYPE_PROP(MixedDimension, LowDimLocalJacobian, LowDimLocalJacobian<TypeTag>);
+
+//! use forward differences to calculate the jacobian by default
+SET_INT_PROP(MixedDimension, ImplicitNumericDifferenceMethod, +1);
+
+//! default property value for the time manager
+SET_TYPE_PROP(MixedDimension, TimeManager, TimeManager<TypeTag>);
+
+//! default property is monolithic solver
+SET_BOOL_PROP(MixedDimension, MixedDimensionUseIterativeSolver, false);
+
+//! default property value for the solution vector only used for monolithic solver
+SET_PROP(MixedDimension, SolutionVector)
+{
+private:
+ typedef typename GET_PROP_TYPE(TypeTag, BulkProblemTypeTag) BulkProblemTypeTag;
+ typedef typename GET_PROP_TYPE(TypeTag, LowDimProblemTypeTag) LowDimProblemTypeTag;
+ typedef typename GET_PROP_TYPE(BulkProblemTypeTag, SolutionVector) SolutionVectorBulk;
+ typedef typename GET_PROP_TYPE(LowDimProblemTypeTag, SolutionVector) SolutionVectorLowDim;
+public:
+ typedef typename Dune::MultiTypeBlockVector<SolutionVectorBulk, SolutionVectorLowDim> type;
+};
+
+//! Set the type of a global jacobian matrix from the solution types
+SET_PROP(MixedDimension, JacobianMatrix)
+{
+private:
+ typedef typename GET_PROP_TYPE(TypeTag, Scalar) Scalar;
+ typedef typename GET_PROP_TYPE(TypeTag, BulkProblemTypeTag) BulkProblemTypeTag;
+ typedef typename GET_PROP_TYPE(TypeTag, LowDimProblemTypeTag) LowDimProblemTypeTag;
+ enum {
+ numEqBulk = GET_PROP_VALUE(BulkProblemTypeTag, NumEq),
+ numEqLowDim = GET_PROP_VALUE(LowDimProblemTypeTag, NumEq)
+ };
+
+public:
+ // the sub-blocks
+ typedef typename Dune::FieldMatrix<Scalar, numEqBulk, numEqBulk> MatrixLittleBlockBulk;
+ typedef typename Dune::FieldMatrix<Scalar, numEqBulk, numEqLowDim> MatrixLittleBlockBulkCoupling;
+ typedef typename Dune::FieldMatrix<Scalar, numEqLowDim, numEqLowDim> MatrixLittleBlockLowDim;
+ typedef typename Dune::FieldMatrix<Scalar, numEqLowDim, numEqBulk> MatrixLittleBlockLowDimCoupling;
+
+ // the BCRS matrices of the subproblems as big blocks
+ typedef typename Dune::BCRSMatrix<MatrixLittleBlockBulk> MatrixBlockBulk;
+ typedef typename Dune::BCRSMatrix<MatrixLittleBlockBulkCoupling> MatrixBlockBulkCoupling;
+ typedef typename Dune::BCRSMatrix<MatrixLittleBlockLowDim> MatrixBlockLowDim;
+ typedef typename Dune::BCRSMatrix<MatrixLittleBlockLowDimCoupling> MatrixBlockLowDimCoupling;
+
+ // the row types
+ typedef typename Dune::MultiTypeBlockVector<MatrixBlockBulk, MatrixBlockBulkCoupling> RowBulk;
+ typedef typename Dune::MultiTypeBlockVector<MatrixBlockLowDimCoupling, MatrixBlockLowDim> RowLowDim;
+
+ // the jacobian matrix
+ typedef typename Dune::MultiTypeBlockMatrix<RowBulk, RowLowDim> type;
+};
+
+//! Definition of the indices of the subproblems in the global solution vector
+SET_PROP(MixedDimension, SubProblemBlockIndices)
+{
+ using BulkIdx = Dune::index_constant<0>;
+ using LowDimIdx = Dune::index_constant<1>;
+};
+
+//! set default solver
+SET_TYPE_PROP(MixedDimension, LinearSolver, GSBiCGSTABBackend<TypeTag>);
+
+//! set the block level to 2, suitable for e.g. the Dune::MultiTypeBlockMatrix
+SET_INT_PROP(MixedDimension, LinearSolverPreconditionerBlockLevel, 2);
+
+//! if the deflection of the newton method is large, we do not
+//! need to solve the linear approximation accurately. Assuming
+//! that the initial value for the delta vector u is quite
+//! close to the final value, a reduction of 6 orders of
+//! magnitude in the defect should be sufficient...
+SET_SCALAR_PROP(MixedDimension, LinearSolverResidualReduction, 1e-6);
+
+//! set the default number of maximum iterations for the linear solver
+SET_INT_PROP(MixedDimension, LinearSolverMaxIterations, 250);
+
+//! set number of equations of the mathematical model as default
+SET_INT_PROP(MixedDimension, LinearSolverBlockSize, 1);
+
+//! set number of maximum timestep divisions to 10
+SET_INT_PROP(MixedDimension, ImplicitMaxTimeStepDivisions, 10);
+
+}//end namespace Properties
+
+}//end namespace Dumux
+
+#endif
diff --git a/dumux/mixeddimension/subproblemlocaljacobian.hh b/dumux/mixeddimension/subproblemlocaljacobian.hh
new file mode 100644
index 0000000000..605be0a6a6
--- /dev/null
+++ b/dumux/mixeddimension/subproblemlocaljacobian.hh
@@ -0,0 +1,340 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ * See the file COPYING for full copying permissions. *
+ * *
+ * This program is free software: you can redistribute it and/or modify *
+ * it under the terms of the GNU General Public License as published by *
+ * the Free Software Foundation, either version 2 of the License, or *
+ * (at your option) any later version. *
+ * *
+ * This program is distributed in the hope that it will be useful, *
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of *
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
+ * GNU General Public License for more details. *
+ * *
+ * You should have received a copy of the GNU General Public License *
+ * along with this program. If not, see <http://www.gnu.org/licenses/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ * \ingroup MixedDimension
+ * \brief Caculates the Jacobian of the local residual for fully-implicit models
+ */
+#ifndef DUMUX_SUBPROBLEM_LOCAL_JACOBIAN_HH
+#define DUMUX_SUBPROBLEM_LOCAL_JACOBIAN_HH
+
+#include <dune/common/indices.hh>
+#include <dune/istl/matrix.hh>
+
+#include <dumux/common/math.hh>
+#include <dumux/common/valgrind.hh>
+
+#include <dumux/mixeddimension/properties.hh>
+
+namespace Dumux
+{
+
+namespace Properties
+{
+ // forward declaration of property tags
+ NEW_PROP_TAG(BulkProblemTypeTag);
+ NEW_PROP_TAG(LowDimProblemTypeTag);
+}
+
+
+template <class TypeTag, class SubProblemTypeTag>
+class SubProblemLocalJacobian;
+
+template<class TypeTag>
+using BulkLocalJacobian = SubProblemLocalJacobian<TypeTag, typename GET_PROP_TYPE(TypeTag, BulkProblemTypeTag)>;
+template<class TypeTag>
+using LowDimLocalJacobian = SubProblemLocalJacobian<TypeTag, typename GET_PROP_TYPE(TypeTag, LowDimProblemTypeTag)>;
+
+/*!
+ * \ingroup MixedDimension
+ * \brief Calculates the Jacobian of the local residual for one subdomain domain
+ *
+ * The default behavior is to use numeric differentiation, i.e.
+ * forward or backward differences (2nd order), or central
+ * differences (3rd order). The method used is determined by the
+ * "NumericDifferenceMethod" property:
+ *
+ * - if the value of this property is smaller than 0, backward
+ * differences are used, i.e.:
+ * \f[
+ \frac{\partial f(x)}{\partial x} \approx \frac{f(x) - f(x - \epsilon)}{\epsilon}
+ * \f]
+ *
+ * - if the value of this property is 0, central
+ * differences are used, i.e.:
+ * \f[
+ \frac{\partial f(x)}{\partial x} \approx \frac{f(x + \epsilon) - f(x - \epsilon)}{2 \epsilon}
+ * \f]
+ *
+ * - if the value of this property is larger than 0, forward
+ * differences are used, i.e.:
+ * \f[
+ \frac{\partial f(x)}{\partial x} \approx \frac{f(x + \epsilon) - f(x)}{\epsilon}
+ * \f]
+ *
+ * Here, \f$ f \f$ is the residual function for all equations, \f$x\f$
+ * is the value of a sub-control volume's primary variable at the
+ * evaluation point and \f$\epsilon\f$ is a small value larger than 0.
+ */
+template<class TypeTag, class SubProblemTypeTag>
+class SubProblemLocalJacobian : public GET_PROP_TYPE(SubProblemTypeTag, LocalJacobian)
+{
+ using ParentType = typename GET_PROP_TYPE(SubProblemTypeTag, LocalJacobian);
+ using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+ using GlobalProblem = typename GET_PROP_TYPE(TypeTag, Problem);
+
+ // types of the sub problem
+ using Problem = typename GET_PROP_TYPE(SubProblemTypeTag, Problem);
+ using FVElementGeometry = typename GET_PROP_TYPE(SubProblemTypeTag, FVElementGeometry);
+ using ElementSolutionVector = typename GET_PROP_TYPE(SubProblemTypeTag, ElementSolutionVector);
+ using PrimaryVariables = typename GET_PROP_TYPE(SubProblemTypeTag, PrimaryVariables);
+ using VolumeVariables = typename GET_PROP_TYPE(SubProblemTypeTag, VolumeVariables);
+ using ElementVolumeVariables = typename GET_PROP_TYPE(SubProblemTypeTag, ElementVolumeVariables);
+ using ElementFluxVariablesCache = typename GET_PROP_TYPE(SubProblemTypeTag, ElementFluxVariablesCache);
+ using ElementBoundaryTypes = typename GET_PROP_TYPE(SubProblemTypeTag, ElementBoundaryTypes);
+ using LocalResidual = typename GET_PROP_TYPE(SubProblemTypeTag, LocalResidual);
+ using GridView = typename GET_PROP_TYPE(SubProblemTypeTag, GridView);
+ using IndexType = typename GridView::IndexSet::IndexType;
+ using Element = typename GridView::template Codim<0>::Entity;
+ using SolutionVector = typename GET_PROP_TYPE(SubProblemTypeTag, SolutionVector);
+
+public:
+
+ // copying a local jacobian is not a good idea
+ SubProblemLocalJacobian(const SubProblemLocalJacobian &) = delete;
+
+ SubProblemLocalJacobian()
+ { numericDifferenceMethod_ = GET_PARAM_FROM_GROUP(TypeTag, int, Implicit, NumericDifferenceMethod); }
+
+ /*!
+ * \brief Initialize the local Jacobian object.
+ *
+ * At this point we can assume that everything has been allocated,
+ * although some objects may not yet be completely initialized.
+ *
+ * \param problem The problem which we want to simulate.
+ */
+ void init(GlobalProblem &globalProblem)
+ {
+ globalProblemPtr_ = &globalProblem;
+ ParentType::init(problem_());
+ }
+
+ /*!
+ * \brief Assemble an element's local Jacobian matrix of the
+ * defect.
+ *
+ * \param element The DUNE Codim<0> entity which we look at.
+ */
+ template<class JacobianMatrix, class JacobianMatrixCoupling>
+ void assemble(const Element &element,
+ JacobianMatrix& matrix,
+ JacobianMatrixCoupling& couplingMatrix,
+ SolutionVector& residual)
+ {
+ const bool isGhost = (element.partitionType() == Dune::GhostEntity);
+
+ // prepare the volvars/fvGeometries in case caching is disabled
+ auto fvGeometry = localView(this->model_().globalFvGeometry());
+ fvGeometry.bind(element);
+
+ auto curElemVolVars = localView(this->model_().curGlobalVolVars());
+ curElemVolVars.bind(element, fvGeometry, this->model_().curSol());
+
+ auto prevElemVolVars = localView(this->model_().prevGlobalVolVars());
+ prevElemVolVars.bindElement(element, fvGeometry, this->model_().prevSol());
+
+ auto elemFluxVarsCache = localView(this->model_().globalFluxVarsCache());
+ elemFluxVarsCache.bind(element, fvGeometry, curElemVolVars);
+
+ // set the actual dof index
+ this->globalI_ = this->problem_().elementMapper().index(element);
+
+ // check for boundaries on the element
+ ElementBoundaryTypes elemBcTypes;
+ elemBcTypes.update(this->problem_(), element, fvGeometry);
+
+ // Evaluate the undeflected element local residual
+ this->localResidual().eval(element,
+ fvGeometry,
+ prevElemVolVars,
+ curElemVolVars,
+ elemBcTypes,
+ elemFluxVarsCache);
+ this->residual_ = this->localResidual().residual();
+
+ // set the global residual
+ residual[this->globalI_] = this->localResidual().residual(0);
+
+ // calculate derivatives of all dofs in stencil with respect to the dofs in the element
+ this->evalPartialDerivatives_(element,
+ fvGeometry,
+ prevElemVolVars,
+ curElemVolVars,
+ elemFluxVarsCache,
+ elemBcTypes,
+ matrix,
+ residual,
+ isGhost);
+
+ // compute derivatives with respect to additional user defined DOF dependencies
+ const auto& additionalDofDepedencies = this->problem_().getAdditionalDofDependencies(this->globalI_);
+ if (!additionalDofDepedencies.empty() && !isGhost)
+ {
+ this->evalAdditionalDerivatives_(additionalDofDepedencies,
+ element,
+ fvGeometry,
+ curElemVolVars,
+ matrix,
+ residual);
+ }
+
+ evalPartialDerivativeCoupling_(element,
+ fvGeometry,
+ curElemVolVars,
+ elemFluxVarsCache,
+ elemBcTypes,
+ couplingMatrix,
+ residual);
+ }
+
+protected:
+
+ /*!
+ * \brief Returns a reference to the problem.
+ */
+ const GlobalProblem &globalProblem_() const
+ { return *globalProblemPtr_; }
+
+ GlobalProblem &globalProblem_()
+ { return *globalProblemPtr_; }
+
+ //! Return this subproblem
+ template<class T = TypeTag>
+ // static_assert(std::is_same<typename GET_PROP_TYPE(TypeTag, BulkProblemTypeTag), SubProblemTypeTag>::value, "class name: " + className<typename GET_PROP_TYPE(TypeTag, BulkProblemTypeTag)>());
+ decltype(auto) problem_(typename std::enable_if<std::is_same<typename GET_PROP_TYPE(T, BulkProblemTypeTag), SubProblemTypeTag>::value, void>::type* x = nullptr)
+ { return globalProblem_().bulkProblem(); }
+
+ template<class T = TypeTag>
+ decltype(auto) problem_(typename std::enable_if<std::is_same<typename GET_PROP_TYPE(T, LowDimProblemTypeTag), SubProblemTypeTag>::value, void>::type* x = nullptr)
+ { return globalProblem_().lowDimProblem(); }
+
+ //! Return the other subproblem
+ template<class T = TypeTag>
+ decltype(auto) otherProblem_(typename std::enable_if<!std::is_same<typename GET_PROP_TYPE(T, BulkProblemTypeTag), SubProblemTypeTag>::value, void>::type* x = nullptr)
+ { return globalProblem_().bulkProblem(); }
+
+ template<class T = TypeTag>
+ decltype(auto) otherProblem_(typename std::enable_if<!std::is_same<typename GET_PROP_TYPE(T, LowDimProblemTypeTag), SubProblemTypeTag>::value, void>::type* x = nullptr)
+ { return globalProblem_().lowDimProblem(); }
+
+ template<class JacobianMatrixCoupling>
+ void evalPartialDerivativeCoupling_(const Element& element,
+ const FVElementGeometry& fvGeometry,
+ ElementVolumeVariables& curElemVolVars,
+ ElementFluxVariablesCache& elemFluxVarsCache,
+ const ElementBoundaryTypes& elemBcTypes,
+ JacobianMatrixCoupling& couplingMatrix,
+ SolutionVector& residual)
+ {
+ const auto& couplingStencil = globalProblem_().couplingManager().couplingStencil(element);
+
+ for (auto globalJ : couplingStencil)
+ {
+ const auto otherElement = otherProblem_().model().globalFvGeometry().element(globalJ);
+ const auto otherResidual = globalProblem_().couplingManager().evalCouplingResidual(element,
+ fvGeometry,
+ curElemVolVars,
+ elemBcTypes,
+ elemFluxVarsCache,
+ otherElement);
+
+ auto& otherPriVars = otherProblem_().model().curSol()[globalJ];
+ auto originalOtherPriVars = otherPriVars;
+
+ // derivatives in the neighbors with repect to the current elements
+ PrimaryVariables partialDeriv;
+ for (int pvIdx = 0; pvIdx < partialDeriv.size(); pvIdx++)
+ {
+ const Scalar eps = this->numericEpsilon(otherPriVars[pvIdx]);
+ Scalar delta = 0;
+
+ if (numericDifferenceMethod_ >= 0)
+ {
+ // we are not using backward differences, i.e. we need to
+ // calculate f(x + \epsilon)
+
+ // deflect primary variables
+ otherPriVars[pvIdx] += eps;
+ delta += eps;
+
+ // calculate the residual with the deflected primary variables
+ partialDeriv = globalProblem_().couplingManager().evalCouplingResidual(element,
+ fvGeometry,
+ curElemVolVars,
+ elemBcTypes,
+ elemFluxVarsCache,
+ otherElement);
+ }
+ else
+ {
+ // we are using backward differences, i.e. we don't need
+ // to calculate f(x + \epsilon) and we can recycle the
+ // (already calculated) residual f(x)
+ partialDeriv = otherResidual;
+ }
+
+
+ if (numericDifferenceMethod_ <= 0)
+ {
+ // we are not using forward differences, i.e. we
+ // need to calculate f(x - \epsilon)
+
+ // deflect the primary variables
+ otherPriVars[pvIdx] -= 2*eps;
+ delta += eps;
+
+ // calculate the residual with the deflected primary variables
+ partialDeriv -= globalProblem_().couplingManager().evalCouplingResidual(element,
+ fvGeometry,
+ curElemVolVars,
+ elemBcTypes,
+ elemFluxVarsCache,
+ otherElement);
+ }
+ else
+ {
+ // we are using forward differences, i.e. we don't need to
+ // calculate f(x - \epsilon) and we can recycle the
+ // (already calculated) residual f(x)
+ partialDeriv -= otherResidual;
+ }
+
+ // divide difference in residuals by the magnitude of the
+ // deflections between the two function evaluation
+ partialDeriv /= delta;
+
+ // restore the original state of the element solution vector
+ otherPriVars = originalOtherPriVars;
+
+ // update the global jacobian matrix (coupling block)
+ this->updateGlobalJacobian_(couplingMatrix, this->globalI_, globalJ, pvIdx, partialDeriv);
+ }
+ }
+ }
+
+ // The problem we would like to solve
+ GlobalProblem *globalProblemPtr_;
+ // The type of the numeric difference method (forward, center, backward)
+ int numericDifferenceMethod_;
+};
+
+} // end namespace Dumux
+
+#endif
diff --git a/dumux/mixeddimension/subproblemproperties.hh b/dumux/mixeddimension/subproblemproperties.hh
new file mode 100644
index 0000000000..9a9e7dde37
--- /dev/null
+++ b/dumux/mixeddimension/subproblemproperties.hh
@@ -0,0 +1,38 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ * See the file COPYING for full copying permissions. *
+ * *
+ * This program is free software: you can redistribute it and/or modify *
+ * it under the terms of the GNU General Public License as published by *
+ * the Free Software Foundation, either version 2 of the License, or *
+ * (at your option) any later version. *
+ * *
+ * This program is distributed in the hope that it will be useful, *
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of *
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
+ * GNU General Public License for more details. *
+ * *
+ * You should have received a copy of the GNU General Public License *
+ * along with this program. If not, see <http://www.gnu.org/licenses/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ * \ingroup MixedDimension
+ * \brief Base class for subproblems of coupled problems
+ */
+#ifndef DUMUX_SUB_PROBLEM_PROPERTIES_HH
+#define DUMUX_SUB_PROBLEM_PROPERTIES_HH
+
+#include <dumux/common/propertysystem.hh>
+
+namespace Dumux
+{
+namespace Properties
+{
+ //! The type of the coupling manager
+ NEW_PROP_TAG(GlobalProblemTypeTag);
+ NEW_PROP_TAG(CouplingManager);
+}
+}
+#endif
diff --git a/test/CMakeLists.txt b/test/CMakeLists.txt
index d3206b905d..fd9350c01f 100644
--- a/test/CMakeLists.txt
+++ b/test/CMakeLists.txt
@@ -3,6 +3,7 @@ add_subdirectory("freeflow")
add_subdirectory("geomechanics")
add_subdirectory("io")
add_subdirectory("material")
+add_subdirectory("mixeddimension")
add_subdirectory("multidomain")
add_subdirectory("porousmediumflow")
add_subdirectory("discretization")
diff --git a/test/mixeddimension/CMakeLists.txt b/test/mixeddimension/CMakeLists.txt
new file mode 100644
index 0000000000..4137ed5f23
--- /dev/null
+++ b/test/mixeddimension/CMakeLists.txt
@@ -0,0 +1 @@
+add_subdirectory("embedded")
diff --git a/test/mixeddimension/embedded/1p_1p/1d3dtestproblem.hh b/test/mixeddimension/embedded/1p_1p/1d3dtestproblem.hh
new file mode 100644
index 0000000000..752c4b21bd
--- /dev/null
+++ b/test/mixeddimension/embedded/1p_1p/1d3dtestproblem.hh
@@ -0,0 +1,256 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ * See the file COPYING for full copying permissions. *
+ * *
+ * This program is free software: you can redistribute it and/or modify *
+ * it under the terms of the GNU General Public License as published by *
+ * the Free Software Foundation, either version 2 of the License, or *
+ * (at your option) any later version. *
+ * *
+ * This program is distributed in the hope that it will be useful, *
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of *
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
+ * GNU General Public License for more details. *
+ * *
+ * You should have received a copy of the GNU General Public License *
+ * along with this program. If not, see <http://www.gnu.org/licenses/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \brief A test problem for the 1d3d coupled problem:
+ * a one-dimensional network is embedded in a three-dimensional matrix
+ * Comparison with anaytical solutiom (see D'Angelo 2007 PhD thesis)
+ */
+#ifndef DUMUX_1D3D_TEST_PROBLEM_HH
+#define DUMUX_1D3D_TEST_PROBLEM_HH
+
+#include "bloodflowproblem.hh"
+#include "tissueproblem.hh"
+
+#include <dumux/mixeddimension/problem.hh>
+#include <dumux/mixeddimension/embedded/cellcentered/bboxtreecouplingmanager.hh>
+//#include <dumux/mixeddimension/embedded/cellcentered/bboxtreecouplingmanagersimple.hh>
+#include <dumux/mixeddimension/integrationpointsource.hh>
+
+namespace Dumux
+{
+template <class TypeTag>
+class TestOneDThreeDProblem;
+
+namespace Properties
+{
+NEW_TYPE_TAG(TestOneDThreeDProblem, INHERITS_FROM(MixedDimension));
+NEW_TYPE_TAG(TestOneDThreeDCCProblem, INHERITS_FROM(TestOneDThreeDProblem));
+
+// Set the problem property
+SET_TYPE_PROP(TestOneDThreeDProblem, Problem, Dumux::TestOneDThreeDProblem<TypeTag>);
+
+// Set the coupling manager
+//SET_TYPE_PROP(TestOneDThreeDCCProblem, CouplingManager, Dumux::CCBBoxTreeEmbeddedCouplingManagerSimple<TypeTag>);
+SET_TYPE_PROP(TestOneDThreeDCCProblem, CouplingManager, Dumux::CCBBoxTreeEmbeddedCouplingManager<TypeTag>);
+////////////////////////////////////////////////////////////////////////////
+// Set the two sub-problems of the global problem
+SET_TYPE_PROP(TestOneDThreeDCCProblem, LowDimProblemTypeTag, TTAG(BloodFlowCCProblem));
+SET_TYPE_PROP(TestOneDThreeDCCProblem, BulkProblemTypeTag, TTAG(TissueCCProblem));
+////////////////////////////////////////////////////////////////////////////
+
+// publish this problem in the sub problems
+SET_TYPE_PROP(BloodFlowCCProblem, GlobalProblemTypeTag, TTAG(TestOneDThreeDCCProblem));
+SET_TYPE_PROP(TissueCCProblem, GlobalProblemTypeTag, TTAG(TestOneDThreeDCCProblem));
+
+// The subproblems inherit the parameter tree from this problem
+SET_PROP(BloodFlowCCProblem, ParameterTree) : GET_PROP(TTAG(TestOneDThreeDCCProblem), ParameterTree) {};
+SET_PROP(TissueCCProblem, ParameterTree) : GET_PROP(TTAG(TestOneDThreeDCCProblem), ParameterTree) {};
+
+// Set the point source type of the subproblems to an id'ed point source
+SET_TYPE_PROP(BloodFlowCCProblem, PointSource, Dumux::IntegrationPointSource<TTAG(BloodFlowCCProblem), unsigned int>);
+SET_TYPE_PROP(BloodFlowCCProblem, PointSourceHelper, Dumux::IntegrationPointSourceHelper<TTAG(BloodFlowCCProblem)>);
+SET_TYPE_PROP(TissueCCProblem, PointSource, Dumux::IntegrationPointSource<TTAG(TissueCCProblem), unsigned int>);
+SET_TYPE_PROP(TissueCCProblem, PointSourceHelper, Dumux::IntegrationPointSourceHelper<TTAG(TissueCCProblem)>);
+
+SET_TYPE_PROP(TestOneDThreeDProblem, LinearSolver, ILU0BiCGSTABBackend<TypeTag>);
+
+}//end namespace properties
+
+template <class TypeTag>
+class TestOneDThreeDProblem : public MixedDimensionProblem<TypeTag>
+{
+ using ParentType = MixedDimensionProblem<TypeTag>;
+ using TimeManager = typename GET_PROP_TYPE(TypeTag, TimeManager);
+ using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+
+ // obtain the type tags of the sub problems
+ using BulkProblemTypeTag = typename GET_PROP_TYPE(TypeTag, BulkProblemTypeTag);
+ using LowDimProblemTypeTag = typename GET_PROP_TYPE(TypeTag, LowDimProblemTypeTag);
+
+ // obtain types from the sub problem type tags
+ using BulkProblem = typename GET_PROP_TYPE(BulkProblemTypeTag, Problem);
+ using LowDimProblem = typename GET_PROP_TYPE(LowDimProblemTypeTag, Problem);
+
+ using BulkGridView = typename GET_PROP_TYPE(BulkProblemTypeTag, GridView);
+ using LowDimGridView = typename GET_PROP_TYPE(LowDimProblemTypeTag, GridView);
+
+ enum { bulkIsBox = GET_PROP_VALUE(BulkProblemTypeTag, ImplicitIsBox) };
+ enum { lowDimIsBox = GET_PROP_VALUE(LowDimProblemTypeTag, ImplicitIsBox) };
+
+public:
+ TestOneDThreeDProblem(TimeManager &timeManager, const BulkGridView &bulkGridView, const LowDimGridView &lowDimgridView)
+ : ParentType(timeManager, bulkGridView, lowDimgridView)
+ {
+ order_ = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, int, Problem, NormIntegrationOrder);
+ excludeInnerBulk_ = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, bool, Problem, NormExcludeInnerBulk);
+ }
+
+ /*!
+ * \brief Called by Dumux::TimeManager in order to do a time
+ * integration on the model. Iterative algorithm for one time step.
+ */
+ void timeIntegration()
+ {
+ ParentType::timeIntegration();
+
+ // compute the L2-norm with respect to the analytical solution
+ // discrete l2-norm for finite volumes
+ auto norm1D = this->calculateNorm(this->lowDimProblem(), this->lowDimGridView(), order_, lowDimIsBox);
+ auto norm3D = this->calculateNorm(this->bulkProblem(), this->bulkGridView(), order_, bulkIsBox);
+ // normalize the norm
+ norm1D.first /= this->calculateNormExactSolution(this->lowDimProblem(), this->lowDimGridView(), order_, lowDimIsBox);
+ norm3D.first /= this->calculateNormExactSolution(this->bulkProblem(), this->bulkGridView(), order_, bulkIsBox);
+
+ // ouput result to terminal
+ std::cout << "hmax_3d: " << norm3D.second << " "
+ << "hmax_1d: " << norm1D.second << " "
+ << "L2_3d: " << norm3D.first << " "
+ << "L2_1d: " << norm1D.first << std::endl;
+
+ // ... and file.
+ file_.open(this->name() + ".log", std::ios::app);
+ file_ << norm3D.second << " " << norm1D.second << " " << norm3D.first << " " << norm1D.first << "\n";
+ file_.close();
+ }
+
+ //! Calculate the L2-Norm of the solution and hmax of the grid
+ template<class SubProblem, class GridView>
+ std::pair<Scalar, Scalar> calculateNorm(const SubProblem &sp, const GridView &gv, int order, bool isBox)
+ {
+ typename Dune::PQkLocalFiniteElementCache<Scalar, Scalar, GridView::dimension, 1> feCache;
+
+ // calculate the L2-Norm and hmax
+ const auto& solution = sp.model().curSol();
+ Scalar LTwoNorm = 0.0;
+ Scalar hMax = 0.0;
+
+ // iterate over all elements
+ for (const auto& element : elements(gv))
+ {
+ const unsigned int eIdx = gv.indexSet().index(element);
+ const auto geometry = element.geometry();
+ const auto center = geometry.center();
+ if (int(GridView::dimension) == 3 && excludeInnerBulk_ &&
+ std::sqrt(center[0]*center[0] + center[1]*center[1]) < GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, SpatialParams, Radius) + 0.01)
+ continue;
+ hMax = std::max(geometryDiameter(geometry), hMax);
+
+ typedef Dune::QuadratureRule<Scalar, GridView::dimension> Quad;
+ const Quad &quad = Dune::QuadratureRules<Scalar, GridView::dimension>::rule(geometry.type(), order);
+ for(auto&& qp : quad)
+ {
+ const auto globalPos = geometry.global(qp.position());
+ const Scalar pe = sp.exactSolution(globalPos);
+ Scalar p(0.0);
+ if(!isBox)
+ p = solution[eIdx][0];
+ else
+ {
+ // do interpolation with ansatz functions
+ std::vector<Dune::FieldVector<Scalar,1> > shapeValues;
+ const auto& localFiniteElement = feCache.get(geometry.type());
+ localFiniteElement.localBasis().evaluateFunction(qp.position(), shapeValues);
+ for (int vIdx = 0; vIdx < shapeValues.size(); ++vIdx)
+ p += shapeValues[vIdx]*solution[sp.model().dofMapper().subIndex(element, vIdx, GridView::dimension)][0];
+ }
+
+ LTwoNorm += (p - pe)*(p - pe)*qp.weight()*geometry.integrationElement(qp.position());
+ }
+ }
+ return std::make_pair(std::sqrt(LTwoNorm), hMax);
+ }
+
+ template<class SubProblem, class GridView>
+ Scalar calculateNormExactSolution(const SubProblem &sp, const GridView &gv, int order, bool isBox)
+ {
+ // calculate the L2-Norm
+ Scalar LTwoNorm = 0.0;
+
+ // iterate over all elements
+ for (const auto& element : elements(gv))
+ {
+ const auto geometry = element.geometry();
+ const auto center = geometry.center();
+ if (int(GridView::dimension) == 3 && excludeInnerBulk_ &&
+ std::sqrt(center[0]*center[0] + center[1]*center[1]) < GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, SpatialParams, Radius))
+ continue;
+ typedef Dune::QuadratureRule<Scalar, GridView::dimension> Quad;
+ const Quad &quad = Dune::QuadratureRules<Scalar, GridView::dimension>::rule(geometry.type(), order);
+ for(auto&& qp : quad)
+ {
+ const auto globalPos = geometry.global(qp.position());
+ const Scalar pe = sp.exactSolution(globalPos);
+ LTwoNorm += pe*pe*qp.weight()*geometry.integrationElement(qp.position());
+ }
+ }
+ return std::sqrt(LTwoNorm);
+ }
+
+ template<class Geometry>
+ Scalar geometryDiameter(const Geometry& geometry)
+ {
+ auto type = geometry.type();
+ if(type.isLine())
+ {
+ return (geometry.corner(0)-geometry.corner(1)).two_norm();
+ }
+ else if(type.isHexahedron())
+ {
+ return (geometry.corner(0)-geometry.corner(1)).two_norm();
+ }
+ else if(type.isTetrahedron())
+ {
+ const auto p0 = geometry.corner(0);
+ const auto p1 = geometry.corner(1);
+ const auto p2 = geometry.corner(2);
+ const auto p3 = geometry.corner(3);
+
+ // Compute side length
+ const auto a = (p1-p2).two_norm();
+ const auto b = (p0-p2).two_norm();
+ const auto c = (p0-p1).two_norm();
+ const auto aa = (p0-p3).two_norm();
+ const auto bb = (p1-p3).two_norm();
+ const auto cc = (p2-p3).two_norm();
+
+ // compute some helper variables
+ const auto la = a*aa;
+ const auto lb = b*bb;
+ const auto lc = c*cc;
+ const auto s = 0.5*(la+lb+lc);
+ const auto area = std::sqrt(s*(s-la)*(s-lb)*(s-lc));
+ return area/(3.0*geometry.volume());
+ }
+ else
+ {
+ DUNE_THROW(Dune::NotImplemented, "Diameter for geometry " << type << ".");
+ }
+ }
+
+private:
+ std::ofstream file_;
+ int order_;
+ bool excludeInnerBulk_;
+};
+
+} //end namespace Dumux
+
+#endif
diff --git a/test/mixeddimension/embedded/1p_1p/CMakeLists.txt b/test/mixeddimension/embedded/1p_1p/CMakeLists.txt
new file mode 100644
index 0000000000..6ed85ea447
--- /dev/null
+++ b/test/mixeddimension/embedded/1p_1p/CMakeLists.txt
@@ -0,0 +1,3 @@
+dune_add_test(SOURCES test_1p_1p.cc)
+dune_symlink_to_source_files(FILES "grids" "test_1p_1p.input")
+set(CMAKE_BUILD_TYPE Release)
diff --git a/test/mixeddimension/embedded/1p_1p/bloodflowproblem.hh b/test/mixeddimension/embedded/1p_1p/bloodflowproblem.hh
new file mode 100644
index 0000000000..e352ca10da
--- /dev/null
+++ b/test/mixeddimension/embedded/1p_1p/bloodflowproblem.hh
@@ -0,0 +1,359 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ * See the file COPYING for full copying permissions. *
+ * *
+ * This program is free software: you can redistribute it and/or modify *
+ * it under the terms of the GNU General Public License as published by *
+ * the Free Software Foundation, either version 2 of the License, or *
+ * (at your option) any later version. *
+ * *
+ * This program is distributed in the hope that it will be useful, *
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of *
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
+ * GNU General Public License for more details. *
+ * *
+ * You should have received a copy of the GNU General Public License *
+ * along with this program. If not, see <http://www.gnu.org/licenses/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \brief A test problem for the one-phase blood flow model:
+ * Blood is flowing through a 1d network grid.
+ */
+#ifndef DUMUX_BLOOD_FLOW_PROBLEM_HH
+#define DUMUX_BLOOD_FLOW_PROBLEM_HH
+
+#include <dune/geometry/quadraturerules.hh>
+#include <dune/geometry/referenceelements.hh>
+#include <dune/localfunctions/lagrange/pqkfactory.hh>
+
+#include <dumux/implicit/cellcentered/tpfa/properties.hh>
+#include <dumux/porousmediumflow/1p/implicit/model.hh>
+#include <dumux/porousmediumflow/implicit/problem.hh>
+#include <dumux/material/components/constant.hh>
+#include <dumux/material/fluidsystems/liquidphase.hh>
+#include <dumux/linear/seqsolverbackend.hh>
+#include <dumux/mixeddimension/subproblemproperties.hh>
+#include "bloodflowspatialparams.hh"
+
+namespace Dumux
+{
+template <class TypeTag>
+class BloodFlowProblem;
+
+namespace Properties
+{
+NEW_TYPE_TAG(BloodFlowProblem, INHERITS_FROM(OneP));
+NEW_TYPE_TAG(BloodFlowCCProblem, INHERITS_FROM(CCTpfaModel, BloodFlowProblem));
+
+// Set the grid type
+SET_TYPE_PROP(BloodFlowProblem, Grid, Dune::FoamGrid<1, 3>);
+
+// Set the grid parameter group
+SET_STRING_PROP(BloodFlowProblem, GridParameterGroup, "VesselGrid");
+
+// Set the problem property
+SET_TYPE_PROP(BloodFlowProblem, Problem, BloodFlowProblem<TypeTag>);
+
+SET_PROP(BloodFlowProblem, Fluid)
+{
+private:
+ using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+public:
+ using type = FluidSystems::LiquidPhase<Scalar, Constant<TypeTag, Scalar>>;
+};
+
+// Set the spatial parameters
+SET_TYPE_PROP(BloodFlowProblem, SpatialParams, BloodFlowSpatialParams<TypeTag>);
+
+// evaluate analytical permeability field at scvf center
+SET_BOOL_PROP(BloodFlowProblem, EvaluatePermeabilityAtScvfCenter, true);
+
+// disable gravity
+SET_BOOL_PROP(BloodFlowProblem, ProblemEnableGravity, false);
+
+}
+
+/*!
+ * \ingroup OneDStokes
+ * \ingroup ImplicitTestProblems
+ * \brief Exact solution 1D-3D
+ */
+template <class TypeTag>
+class BloodFlowProblem : public ImplicitPorousMediaProblem<TypeTag>
+{
+ using ParentType = ImplicitPorousMediaProblem<TypeTag>;
+ using GridView = typename GET_PROP_TYPE(TypeTag, GridView);
+ using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+ using ElementVolumeVariables = typename GET_PROP_TYPE(TypeTag, ElementVolumeVariables);
+ using PointSource = typename GET_PROP_TYPE(TypeTag, PointSource);
+ using Indices = typename GET_PROP_TYPE(TypeTag, Indices);
+ // copy some indices for convenience
+ enum {
+ // Grid and world dimension
+ dim = GridView::dimension,
+ dimworld = GridView::dimensionworld
+ };
+ enum {
+ // indices of the primary variables
+ conti0EqIdx = Indices::conti0EqIdx,
+ pressureIdx = Indices::pressureIdx
+ };
+ enum { isBox = GET_PROP_VALUE(TypeTag, ImplicitIsBox) };
+ enum { dofCodim = isBox ? dim : 0 };
+
+ using PrimaryVariables = typename GET_PROP_TYPE(TypeTag, PrimaryVariables);
+ using BoundaryTypes = typename GET_PROP_TYPE(TypeTag, BoundaryTypes);
+ using TimeManager = typename GET_PROP_TYPE(TypeTag, TimeManager);
+ using FVElementGeometry = typename GET_PROP_TYPE(TypeTag, FVElementGeometry);
+ using SubControlVolume = typename GET_PROP_TYPE(TypeTag, SubControlVolume);
+ using ElementSolutionVector = typename GET_PROP_TYPE(TypeTag, ElementSolutionVector);
+ using Element = typename GridView::template Codim<0>::Entity;
+ using GlobalPosition = Dune::FieldVector<Scalar, dimworld>;
+
+ using GlobalProblemTypeTag = typename GET_PROP_TYPE(TypeTag, GlobalProblemTypeTag);
+ using CouplingManager = typename GET_PROP_TYPE(GlobalProblemTypeTag, CouplingManager);
+
+public:
+ BloodFlowProblem(TimeManager &timeManager, const GridView &gridView)
+ : ParentType(timeManager, gridView)
+ {
+ //read parameters from input file
+ name_ = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, std::string, Problem, Name) + "_1d";
+ p_in_ = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, BoundaryConditions1D, PressureInput);
+ delta_p_ = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, BoundaryConditions1D, DeltaPressure);
+ }
+
+ /*!
+ * \brief Called by the TimeManager in order to
+ * initialize the problem.
+ */
+ void init()
+ {
+ ParentType::init();
+ exactPressure_.resize(this->model().numDofs());
+ for (const auto& element : elements(this->gridView()))
+ {
+ auto fvGeometry = localView(this->model().globalFvGeometry());
+ fvGeometry.bindElement(element);
+
+ for (auto&& scv : scvs(fvGeometry))
+ exactPressure_[scv.dofIndex()] = exactSolution(scv.dofPosition());
+ }
+ }
+
+ /*!
+ * \brief Return how much the domain is extruded at a given sub-control volume.
+ *
+ * The extrusion factor here makes extrudes the 1d line to a circular tube with
+ * cross-section area pi*r^2.
+ */
+ Scalar extrusionFactor(const Element &element,
+ const SubControlVolume &scv,
+ const ElementSolutionVector& elemSol) const
+ {
+ const auto eIdx = this->elementMapper().index(element);
+ const auto radius = this->spatialParams().radius(eIdx);
+ return M_PI*radius*radius;
+ }
+
+ /*!
+ * \brief Returns true if a restart file should be written to disk.
+ */
+ bool shouldWriteRestartFile() const
+ { return false; }
+
+ /*!
+ * \name Problem parameters
+ */
+ // \{
+
+ /*!
+ * \brief The problem name.
+ *
+ * This is used as a prefix for files generated by the simulation.
+ */
+ const std::string& name() const
+ { return name_; }
+
+ /*!
+ * \brief Return the temperature within the domain in [K].
+ *
+ */
+ Scalar temperature() const
+ { return 273.15 + 37.0; } // Body temperature
+
+ // \}
+ /*!
+ * \name Boundary conditions
+ */
+ // \{
+
+ /*!
+ * \brief Specifies which kind of boundary condition should be
+ * used for which equation on a given boundary segment.
+ *
+ * \param globalPos The global position
+ */
+ BoundaryTypes boundaryTypesAtPos(const GlobalPosition &globalPos) const
+ {
+ BoundaryTypes values;
+ values.setAllDirichlet();
+ return values;
+ }
+
+ /*!
+ * \brief Evaluate the boundary conditions for a dirichlet
+ * control volume.
+ *
+ * \param globalPos The global position
+ *
+ * For this method, the \a values parameter stores primary variables.
+ */
+ PrimaryVariables dirichletAtPos(const GlobalPosition& globalPos) const
+ {
+ PrimaryVariables values;
+ if(globalPos[2] > 0.5)
+ values[pressureIdx] = p_in_;
+ else
+ values[pressureIdx] = p_in_-delta_p_;
+ return values;
+ }
+
+
+ // \}
+
+ /*!
+ * \name Volume terms
+ */
+ // \{
+
+ /*!
+ * \brief Applies a vector of point sources. The point sources
+ * are possibly solution dependent.
+ *
+ * \param pointSources A vector of PointSource s that contain
+ source values for all phases and space positions.
+ *
+ * For this method, the \a values method of the point source
+ * has to return the absolute mass rate in kg/s. Positive values mean
+ * that mass is created, negative ones mean that it vanishes.
+ */
+ void addPointSources(std::vector<PointSource>& pointSources) const
+ { pointSources = this->couplingManager().lowDimPointSources(); }
+
+ /*!
+ * \brief Evaluate the point sources (added by addPointSources)
+ * for all phases within a given sub-control-volume.
+ *
+ * This is the method for the case where the point source is
+ * solution dependent and requires some quantities that
+ * are specific to the fully-implicit method.
+ *
+ * \param pointSource A single point source
+ * \param element The finite element
+ * \param fvGeometry The finite-volume geometry
+ * \param elemVolVars All volume variables for the element
+ * \param scv The sub-control volume within the element
+ *
+ * For this method, the \a values() method of the point sources returns
+ * the absolute rate mass generated or annihilate in kg/s. Positive values mean
+ * that mass is created, negative ones mean that it vanishes.
+ */
+ void pointSource(PointSource& source,
+ const Element &element,
+ const FVElementGeometry& fvGeometry,
+ const ElementVolumeVariables& elemVolVars,
+ const SubControlVolume &scv) const
+ {
+ // compute source at every integration point
+ const auto bulkVolVars = this->couplingManager().bulkVolVars(source.id());
+ const Scalar pressure1D = this->couplingManager().lowDimPriVars(source.id())[pressureIdx];
+
+ // calculate the source
+ const Scalar radius = this->couplingManager().radius(source.id());
+ const Scalar beta = 2*M_PI/(2*M_PI + std::log(radius));
+ const Scalar sourceValue = beta*(bulkVolVars.pressure() - pressure1D)*bulkVolVars.density();
+
+ source = sourceValue*source.quadratureWeight()*source.integrationElement();
+ }
+
+ /*!
+ * \brief Evaluate the initial value for a control volume.
+ *
+ * For this method, the \a priVars parameter stores primary
+ * variables.
+ */
+ PrimaryVariables initialAtPos(const GlobalPosition &globalPos) const
+ { return PrimaryVariables(0.0); }
+
+ // \}
+
+ //! The exact pressure solution
+ Scalar exactSolution(const GlobalPosition &globalPos) const
+ { return 1 + globalPos[2]; }
+
+ //! Called after every time step
+ //! Output the total global exchange term
+ void postTimeStep()
+ {
+ ParentType::postTimeStep();
+
+ PrimaryVariables source(0.0);
+
+ if (!(this->timeManager().time() < 0.0))
+ {
+ for (const auto& element : elements(this->gridView()))
+ {
+ auto fvGeometry = localView(this->model().globalFvGeometry());
+ fvGeometry.bindElement(element);
+
+ auto elemVolVars = localView(this->model().curGlobalVolVars());
+ elemVolVars.bindElement(element, fvGeometry, this->model().curSol());
+
+ for (auto&& scv : scvs(fvGeometry))
+ {
+ auto pointSources = this->scvPointSources(element, fvGeometry, elemVolVars, scv);
+ pointSources *= scv.volume()*elemVolVars[scv].extrusionFactor();
+ source += pointSources;
+ }
+ }
+ }
+
+ std::cout << "Global integrated source (1D): " << source << '\n';
+ }
+
+ /*!
+ * \brief Adds additional VTK output data to the VTKWriter. Function is called by the output module on every write.
+ */
+ void addVtkOutputFields(VtkOutputModule<TypeTag>& outputModule) const
+ {
+ auto& p = outputModule.createScalarField("exact pressure", dofCodim);
+ p = exactPressure_;
+ }
+
+ //! Set the coupling manager
+ void setCouplingManager(std::shared_ptr<CouplingManager> cm)
+ { couplingManager_ = cm; }
+
+ //! Get the coupling manager
+ const CouplingManager& couplingManager() const
+ { return *couplingManager_; }
+
+private:
+ std::vector<Scalar> exactPressure_;
+
+ static constexpr Scalar eps_ = 1.5e-7;
+ std::string name_;
+
+ Scalar p_in_;
+ Scalar delta_p_;
+
+ std::shared_ptr<CouplingManager> couplingManager_;
+};
+
+} //end namespace Dumux
+
+#endif
diff --git a/test/mixeddimension/embedded/1p_1p/bloodflowspatialparams.hh b/test/mixeddimension/embedded/1p_1p/bloodflowspatialparams.hh
new file mode 100644
index 0000000000..fa255fe545
--- /dev/null
+++ b/test/mixeddimension/embedded/1p_1p/bloodflowspatialparams.hh
@@ -0,0 +1,98 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ * See the file COPYING for full copying permissions. *
+ * *
+ * This program is free software: you can redistribute it and/or modify *
+ * it under the terms of the GNU General Public License as published by *
+ * the Free Software Foundation, either version 2 of the License, or *
+ * (at your option) any later version. *
+ * *
+ * This program is distributed in the hope that it will be useful, *
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of *
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
+ * GNU General Public License for more details. *
+ * *
+ * You should have received a copy of the GNU General Public License *
+ * along with this program. If not, see <http://www.gnu.org/licenses/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \brief The spatial parameters class blood flow problem
+ */
+#ifndef DUMUX_BlOOD_FLOW_SPATIALPARAMS_HH
+#define DUMUX_BlOOD_FLOW_SPATIALPARAMS_HH
+
+#include <dumux/material/spatialparams/implicit1p.hh>
+
+namespace Dumux
+{
+
+/*!
+ * \ingroup OnePModel
+ * \ingroup ImplicitTestProblems
+ *
+ * \brief Definition of the spatial parameters for the blood flow problem
+ */
+template<class TypeTag>
+class BloodFlowSpatialParams: public ImplicitSpatialParamsOneP<TypeTag>
+{
+ using ParentType = ImplicitSpatialParamsOneP<TypeTag>;
+ using Problem = typename GET_PROP_TYPE(TypeTag, Problem);
+ using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+ using GridView = typename GET_PROP_TYPE(TypeTag, GridView);
+ using Element = typename GridView::template Codim<0>::Entity;
+ using SubControlVolume = typename GET_PROP_TYPE(TypeTag, SubControlVolume);
+ using ElementSolutionVector = typename GET_PROP_TYPE(TypeTag, ElementSolutionVector);
+ enum {
+ // Grid and world dimension
+ dim = GridView::dimension,
+ dimworld = GridView::dimensionworld
+ };
+ using GlobalPosition = Dune::FieldVector<Scalar, dimworld>;
+
+public:
+ // export permeability type
+ using PermeabilityType = Scalar;
+
+ BloodFlowSpatialParams(const Problem& problem, const GridView& gridView)
+ : ParentType(problem, gridView) {}
+
+ /*!
+ * \brief Return the intrinsic permeability for the current sub-control volume in [m^2].
+ *
+ * \param ipGlobal The integration point
+ */
+ Scalar permeabilityAtPos(const GlobalPosition& ipGlobal) const
+ {
+ return (1 + ipGlobal[2] + 0.5*ipGlobal[2]*ipGlobal[2])/(M_PI*radius(0)*radius(0));
+ }
+
+ /*!
+ * \brief Return the radius of the circular pipe for the current sub-control volume in [m].
+ *
+ * \param the index of the element
+ */
+ Scalar radius(unsigned int eIdxGlobal) const
+ {
+ return GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, SpatialParams, Radius);
+ }
+
+ /*!
+ * \brief Returns the porosity \f$[-]\f$
+ *
+ * \param element The element
+ * \param scv The sub control volume
+ * \param elemSol The element solution vector
+ * \return the porosity
+ */
+ Scalar porosity(const Element& element,
+ const SubControlVolume& scv,
+ const ElementSolutionVector& elemSol) const
+ { return 1.0; }
+};
+
+} // end namespace Dumux
+
+#endif
diff --git a/test/mixeddimension/embedded/1p_1p/convergencetest.py b/test/mixeddimension/embedded/1p_1p/convergencetest.py
new file mode 100755
index 0000000000..2efe0fdc7b
--- /dev/null
+++ b/test/mixeddimension/embedded/1p_1p/convergencetest.py
@@ -0,0 +1,53 @@
+#!/usr/bin/env python
+
+from math import *
+import subprocess
+import sys
+
+if len(sys.argv) != 2:
+ sys.err.write('Please provide a single argument <testname> to the script')
+
+testname = str(sys.argv[1])
+
+subprocess.call(['rm', testname + '.log'])
+print("Removed old log file ({})!".format(testname + '.log'))
+for i in [10, 20, 30, 40, 50, 60]:
+ subprocess.call(['./' + testname, '-ParameterFile', 'test_1p1dstokes.input',
+ '-TissueGrid.Cells', 3*(str(i)+" "),
+ '-VesselGrid.Cells', str(i),
+ '-Problem.Name', testname])
+
+logfile = open(testname + '.log', "r+")
+
+bulkError = []
+bulkHmax = []
+lowDimError = []
+lowDimHmax = []
+for line in logfile:
+ line = line.strip("\n")
+ line = line.split()
+ bulkHmax.append(float(line[0]))
+ lowDimHmax.append(float(line[1]))
+ bulkError.append(float(line[2]))
+ lowDimError.append(float(line[3]))
+
+logfile.truncate(0)
+for name, hmax, error in (("3D", bulkHmax, bulkError), ("1D", lowDimHmax, lowDimError)):
+ logfile.write("[" + name + "]\thmax\t\terror\t\trate\n")
+ logfile.write("-"*50 + "\n")
+ for i in range(len(error)-1):
+ if isnan(error[i]) or isinf(error[i]):
+ continue
+ if not (error[i] < 1e-12 or error[i] < 1e-12):
+ rate = (log(error[i])-log(error[i+1]))/(log(hmax[i])-log(hmax[i+1]))
+ message = "{}\t{:0.4e}\t{:0.4e}\t{:0.4e}\n".format(i, hmax[i], error[i], rate)
+ logfile.write(message)
+ else:
+ logfile.write("error: exact solution!?")
+ i = len(error)-1
+ message = "{}\t{:0.4e}\t{:0.4e}\n\n\n".format(i, hmax[i], error[i])
+ logfile.write(message)
+
+logfile.close()
+print("\nComputed the following convergence rates:\n")
+subprocess.call(['cat', testname + '.log'])
diff --git a/test/mixeddimension/embedded/1p_1p/grids/cylinder.geo b/test/mixeddimension/embedded/1p_1p/grids/cylinder.geo
new file mode 100644
index 0000000000..67b3295742
--- /dev/null
+++ b/test/mixeddimension/embedded/1p_1p/grids/cylinder.geo
@@ -0,0 +1,41 @@
+size = 0.1;
+Point(1) = {0, 0, 0, size};
+Point(2) = {1, 0, 0, size};
+Point(3) = {0, 1, 0, size};
+Point(4) = {0, -1, 0, size};
+Point(5) = {-1, 0, 0, size};
+Point(6) = {-1, 0, 1, size};
+Point(7) = {0, 0, 1, size};
+Point(8) = {0, 1, 1, size};
+Point(13) = {1, 0, 1, size};
+Point(18) = {0, -1, 1, size};
+
+Circle(1) = {3, 1, 2};
+Circle(2) = {2, 1, 4};
+Circle(3) = {4, 1, 5};
+Circle(4) = {5, 1, 3};
+Circle(8) = {6, 7, 8};
+Circle(9) = {8, 7, 13};
+Circle(10) = {13, 7, 18};
+Circle(11) = {18, 7, 6};
+
+Line(13) = {5, 6};
+Line(14) = {3, 8};
+Line(18) = {2, 13};
+Line(22) = {4, 18};
+
+Line Loop(6) = {4, 1, 2, 3};
+Ruled Surface(6) = {6};
+Line Loop(15) = {4, 14, -8, -13};
+Ruled Surface(15) = {15};
+Line Loop(19) = {1, 18, -9, -14};
+Ruled Surface(19) = {19};
+Line Loop(23) = {2, 22, -10, -18};
+Ruled Surface(23) = {23};
+Line Loop(27) = {3, 13, -11, -22};
+Ruled Surface(27) = {27};
+Line Loop(28) = {8, 9, 10, 11};
+Ruled Surface(28) = {28};
+Surface Loop(1) = {6, 28, 15, 19, 23, 27};
+
+Volume(1) = {1};
diff --git a/test/mixeddimension/embedded/1p_1p/grids/cylinder.msh b/test/mixeddimension/embedded/1p_1p/grids/cylinder.msh
new file mode 100644
index 0000000000..ec41116a09
--- /dev/null
+++ b/test/mixeddimension/embedded/1p_1p/grids/cylinder.msh
@@ -0,0 +1,18890 @@
+$MeshFormat
+2.2 0 8
+$EndMeshFormat
+$Nodes
+2839
+1 0 0 0
+2 1 0 0
+3 0 1 0
+4 0 -1 0
+5 -1 0 0
+6 -1 0 1
+7 0 0 1
+8 0 1 1
+9 1 0 1
+10 0 -1 1
+11 0.09801714032917982 0.9951847266722343 0
+12 0.1950903220155996 0.9807852804033356 0
+13 0.2902846772537184 0.9569403357324345 0
+14 0.3826834323641164 0.9238795325116899 0
+15 0.4713967368248421 0.8819212643489727 0
+16 0.5555702330183399 0.8314696123033888 0
+17 0.6343932841623059 0.7730104533638363 0
+18 0.7071067811852056 0.7071067811878894 0
+19 0.7730104533617078 0.6343932841648996 0
+20 0.8314696123017838 0.5555702330207417 0
+21 0.8819212643478248 0.4713967368269896 0
+22 0.9238795325109631 0.382683432365871 0
+23 0.9569403357320482 0.290284677254992 0
+24 0.9807852804031679 0.1950903220164424 0
+25 0.9951847266721896 0.09801714032963502 0
+26 0.9951847266722343 -0.09801714032917982 0
+27 0.9807852804033356 -0.1950903220155996 0
+28 0.9569403357324345 -0.2902846772537184 0
+29 0.9238795325116899 -0.3826834323641164 0
+30 0.8819212643489727 -0.4713967368248421 0
+31 0.8314696123033888 -0.5555702330183399 0
+32 0.7730104533638363 -0.6343932841623059 0
+33 0.7071067811878894 -0.7071067811852056 0
+34 0.6343932841648996 -0.7730104533617078 0
+35 0.5555702330207417 -0.8314696123017838 0
+36 0.4713967368269896 -0.8819212643478248 0
+37 0.382683432365871 -0.9238795325109631 0
+38 0.290284677254992 -0.9569403357320482 0
+39 0.1950903220164424 -0.9807852804031679 0
+40 0.09801714032963502 -0.9951847266721896 0
+41 -0.09801714032917982 -0.9951847266722343 0
+42 -0.1950903220155996 -0.9807852804033356 0
+43 -0.2902846772537184 -0.9569403357324345 0
+44 -0.3826834323641164 -0.9238795325116899 0
+45 -0.4713967368248421 -0.8819212643489727 0
+46 -0.5555702330183399 -0.8314696123033888 0
+47 -0.6343932841623059 -0.7730104533638363 0
+48 -0.7071067811852056 -0.7071067811878894 0
+49 -0.7730104533617078 -0.6343932841648996 0
+50 -0.8314696123017838 -0.5555702330207417 0
+51 -0.8819212643478248 -0.4713967368269896 0
+52 -0.9238795325109631 -0.382683432365871 0
+53 -0.9569403357320482 -0.290284677254992 0
+54 -0.9807852804031679 -0.1950903220164424 0
+55 -0.9951847266721896 -0.09801714032963502 0
+56 -0.9951847266722343 0.09801714032917982 0
+57 -0.9807852804033356 0.1950903220155996 0
+58 -0.9569403357324345 0.2902846772537184 0
+59 -0.9238795325116899 0.3826834323641164 0
+60 -0.8819212643489727 0.4713967368248421 0
+61 -0.8314696123033888 0.5555702330183399 0
+62 -0.7730104533638363 0.6343932841623059 0
+63 -0.7071067811878894 0.7071067811852056 0
+64 -0.6343932841648996 0.7730104533617078 0
+65 -0.5555702330207417 0.8314696123017838 0
+66 -0.4713967368269896 0.8819212643478248 0
+67 -0.382683432365871 0.9238795325109631 0
+68 -0.290284677254992 0.9569403357320482 0
+69 -0.1950903220164424 0.9807852804031679 0
+70 -0.09801714032963502 0.9951847266721896 0
+71 -0.9951847266722343 0.09801714032917982 1
+72 -0.9807852804033356 0.1950903220155996 1
+73 -0.9569403357324345 0.2902846772537184 1
+74 -0.9238795325116899 0.3826834323641164 1
+75 -0.8819212643489727 0.4713967368248421 1
+76 -0.8314696123033888 0.5555702330183399 1
+77 -0.7730104533638363 0.6343932841623059 1
+78 -0.7071067811878894 0.7071067811852056 1
+79 -0.6343932841648996 0.7730104533617078 1
+80 -0.5555702330207417 0.8314696123017838 1
+81 -0.4713967368269896 0.8819212643478248 1
+82 -0.382683432365871 0.9238795325109631 1
+83 -0.290284677254992 0.9569403357320482 1
+84 -0.1950903220164424 0.9807852804031679 1
+85 -0.09801714032963502 0.9951847266721896 1
+86 0.09801714032917982 0.9951847266722343 1
+87 0.1950903220155996 0.9807852804033356 1
+88 0.2902846772537184 0.9569403357324345 1
+89 0.3826834323641164 0.9238795325116899 1
+90 0.4713967368248421 0.8819212643489727 1
+91 0.5555702330183399 0.8314696123033888 1
+92 0.6343932841623059 0.7730104533638363 1
+93 0.7071067811852056 0.7071067811878894 1
+94 0.7730104533617078 0.6343932841648996 1
+95 0.8314696123017838 0.5555702330207417 1
+96 0.8819212643478248 0.4713967368269896 1
+97 0.9238795325109631 0.382683432365871 1
+98 0.9569403357320482 0.290284677254992 1
+99 0.9807852804031679 0.1950903220164424 1
+100 0.9951847266721896 0.09801714032963502 1
+101 0.9951847266722343 -0.09801714032917982 1
+102 0.9807852804033356 -0.1950903220155996 1
+103 0.9569403357324345 -0.2902846772537184 1
+104 0.9238795325116899 -0.3826834323641164 1
+105 0.8819212643489727 -0.4713967368248421 1
+106 0.8314696123033888 -0.5555702330183399 1
+107 0.7730104533638363 -0.6343932841623059 1
+108 0.7071067811878894 -0.7071067811852056 1
+109 0.6343932841648996 -0.7730104533617078 1
+110 0.5555702330207417 -0.8314696123017838 1
+111 0.4713967368269896 -0.8819212643478248 1
+112 0.382683432365871 -0.9238795325109631 1
+113 0.290284677254992 -0.9569403357320482 1
+114 0.1950903220164424 -0.9807852804031679 1
+115 0.09801714032963502 -0.9951847266721896 1
+116 -0.09801714032917982 -0.9951847266722343 1
+117 -0.1950903220155996 -0.9807852804033356 1
+118 -0.2902846772537184 -0.9569403357324345 1
+119 -0.3826834323641164 -0.9238795325116899 1
+120 -0.4713967368248421 -0.8819212643489727 1
+121 -0.5555702330183399 -0.8314696123033888 1
+122 -0.6343932841623059 -0.7730104533638363 1
+123 -0.7071067811852056 -0.7071067811878894 1
+124 -0.7730104533617078 -0.6343932841648996 1
+125 -0.8314696123017838 -0.5555702330207417 1
+126 -0.8819212643478248 -0.4713967368269896 1
+127 -0.9238795325109631 -0.382683432365871 1
+128 -0.9569403357320482 -0.290284677254992 1
+129 -0.9807852804031679 -0.1950903220164424 1
+130 -0.9951847266721896 -0.09801714032963502 1
+131 -1 0 0.09999999999981467
+132 -1 0 0.1999999999995579
+133 -1 0 0.2999999999992664
+134 -1 0 0.3999999999989749
+135 -1 0 0.4999999999986943
+136 -1 0 0.5999999999989468
+137 -1 0 0.69999999999921
+138 -1 0 0.7999999999994734
+139 -1 0 0.8999999999997368
+140 0 1 0.09999999999981467
+141 0 1 0.1999999999995579
+142 0 1 0.2999999999992664
+143 0 1 0.3999999999989749
+144 0 1 0.4999999999986943
+145 0 1 0.5999999999989468
+146 0 1 0.69999999999921
+147 0 1 0.7999999999994734
+148 0 1 0.8999999999997368
+149 1 0 0.09999999999981467
+150 1 0 0.1999999999995579
+151 1 0 0.2999999999992664
+152 1 0 0.3999999999989749
+153 1 0 0.4999999999986943
+154 1 0 0.5999999999989468
+155 1 0 0.69999999999921
+156 1 0 0.7999999999994734
+157 1 0 0.8999999999997368
+158 0 -1 0.09999999999981467
+159 0 -1 0.1999999999995579
+160 0 -1 0.2999999999992664
+161 0 -1 0.3999999999989749
+162 0 -1 0.4999999999986943
+163 0 -1 0.5999999999989468
+164 0 -1 0.69999999999921
+165 0 -1 0.7999999999994734
+166 0 -1 0.8999999999997368
+167 -0.01489013110217191 0.1128433212965915 0
+168 -0.3726643429720469 0.4166466881802571 0
+169 0.2061182405504317 -0.1891162876052249 0
+170 -0.6598737186498631 -0.3996717128888204 0
+171 0.7378927286481207 0.3192420261839005 0
+172 0.01466142831193779 0.8272237684785292 0
+173 0.3370754052642337 -0.7985861994645976 0
+174 -0.9438549346419947 0.06528568960172068 0
+175 0.4481270302873285 0.4799239039177654 0
+176 -0.1015593056650897 -0.5615796140429242 0
+177 -0.5186878134191732 0.05916530219787033 0
+178 0.2812224505085883 -0.570695607754275 0
+179 0.505635729351801 -0.304481706896756 0
+180 0.5848608128902552 -0.09149928215758324 0
+181 -0.4632942574942971 -0.6396960663140423 0
+182 0.09093690424967679 0.4664248753414081 0
+183 0.3851774666564889 0.1782357420389189 0
+184 -0.6864465194284128 0.2879992377262781 0
+185 -0.829728721554193 0.4110876883961008 0
+186 0.5770162976253339 -0.5777543299184758 0
+187 0.3549966728398525 0.7320687778028323 0
+188 -0.2253362591362957 0.1401772970090848 0
+189 -0.8567447594889784 0.3142987707236813 0
+190 -0.1650313402202314 0.7057854899848173 0
+191 0.6965562164092898 0.5900334576675489 0
+192 -0.7188995641138137 -0.5469424391032756 0
+193 0.7873306395356622 -0.2146421250874112 0
+194 -0.7629264515370427 -0.1411589126952345 0
+195 0.7808778258171468 0.4870936042857612 0
+196 0.941996094958654 0.1410646020886507 0
+197 0.5164876560026652 -0.7786392345462142 0
+198 -0.05693705601237799 0.9275805071406972 0
+199 -0.4120866933600256 -0.4428579800533167 0
+200 -0.07880089378248009 -0.1962345195639227 0
+201 0.009707976051640671 -0.377985848275476 0
+202 0.2347580215044217 0.6182624948248754 0
+203 -0.1548740126727162 -0.01178461404483697 0
+204 0.2335012830489741 0.3052734333866139 0
+205 0.1715663146040294 0.1391071331580046 0
+206 0.2921596338728165 0.00712308539140849 0
+207 -0.2072012665731706 -0.3962499157726271 0
+208 -0.1115976678179918 0.2749646942775872 0
+209 -0.1695675931440572 0.4301846075144063 0
+210 -0.2854440235767216 -0.5930104702438146 0
+211 0.3807016502441228 -0.2746908090237499 0
+212 0.2198326236156283 -0.4008989023385866 0
+213 -0.5449020105391725 0.3230319188225924 0
+214 -0.5354693707669813 -0.3343077709132236 0
+215 0.1576449351081017 -0.7250929944385807 0
+216 -0.5713538978404682 -0.1653664283567751 0
+217 -0.4016455857604303 0.595880943735448 0
+218 -0.5582973104720437 0.5041810352506704 0
+219 0.2916633943109935 0.4751790276322141 0
+220 0.08926695141977206 -0.5608758927388681 0
+221 -0.0006976483081858609 -0.7056161424877193 0
+222 -0.4682933916821866 0.2719128130436115 0
+223 -0.6230304938197511 -0.4972019003056534 0
+224 0.05391789747270492 0.2508467300109738 0
+225 0.397529800351628 -0.6908871796223928 0
+226 0.4675821005683946 -0.6088880120915954 0
+227 0.4016121314414871 -0.4408917281306228 0
+228 0.05804112983470416 0.710551179026458 0
+229 -0.464673860942899 -0.03317627958983491 0
+230 0.636272502817646 0.1652686090969194 0
+231 0.5462092387155335 0.7361266815345756 0
+232 -0.2578612453108214 0.5711660198956415 0
+233 -0.3320972090189139 -0.7607243590584523 0
+234 0.4181662018848349 0.5771170907005744 0
+235 0.06879497100348433 -0.02190635644754027 0
+236 -0.09149845583727209 0.6226551862057104 0
+237 0.5059173883983249 -0.01692101301520688 0
+238 -0.1771534081527436 -0.7256058856518911 0
+239 0.5882118862343536 0.2682982982646882 0
+240 0.5659459211274125 -0.4730851303163546 0
+241 -0.6340818797510406 -0.03728002139819003 0
+242 -0.7321942292516518 0.4403268526817276 0
+243 -0.6988544283335589 0.0336554151661721 0
+244 0.1475721856064399 -0.9088812130692627 0
+245 0.5675274922466056 0.3753794074536541 0
+246 0.7057393670739563 0.4799628898320247 0
+247 -0.279210583611184 0.7469701459815805 0
+248 0.4289875031922974 0.3754294336907495 0
+249 0.5476846697730372 -0.2000958105047829 0
+250 0.6578602798042273 -0.240583897164695 0
+251 0.6723305775878805 -0.5052362849299884 0
+252 -0.6249173623216496 -0.6047286288578477 0
+253 -0.8469068112317624 0.1268528539286444 0
+254 -0.09922755125161745 0.8141985023289735 0
+255 -0.6248112406384179 0.1767049427652994 0
+256 -0.2851979659264997 0.2805015802677577 0
+257 0.894184524085083 0.2093289267781813 0
+258 -0.08532932413697283 0.180597156034421 0
+259 -0.05050990896769389 0.7147360573457365 0
+260 -0.898276342342217 -0.2233793481762484 0
+261 -0.2141304837094128 0.8282740014729689 0
+262 0.6878197731274286 0.06760246011238819 0
+263 0.2973997525880571 0.8674467273755989 0
+264 0.7445808447251113 -0.0255975979707363 0
+265 0.6373507889658276 -0.3959843131778853 0
+266 -0.8537259679161119 -0.3163890777418479 0
+267 0.6994317518810673 -0.1233212969462886 0
+268 -0.9440438192477203 -0.03628999848494067 0
+269 0.1345760192328008 0.9291038050906089 0
+270 -0.7088466587304186 -0.4547684762504491 0
+271 0.4300114298105243 -0.805792282622309 0
+272 -0.6282864266425573 -0.6918790728695118 0
+273 0.6905680756513926 -0.6119239369674063 0
+274 0.7246498230917701 -0.3323149353483554 0
+275 -0.9208701520226563 0.1498838859863945 0
+276 0.8250621395557075 -0.386121115212759 0
+277 0.7997732073363528 0.4024865457396409 0
+278 0.5508580984589524 -0.6865701796401495 0
+279 -0.8919067785018355 0.2199105907043973 0
+280 0.8586521267164036 0.1446070764948364 0
+281 0.750437930672717 0.5494393484365377 0
+282 0.9019187386052981 -0.2980229949968392 0
+283 -0.489517165870531 -0.7996353702649328 0
+284 0.8119942787150082 0.06335500116269849 0
+285 0.6321999494912832 -0.6733593701202086 0
+286 -0.8000247472708988 -0.465371417545498 0
+287 0.7826361537006341 -0.4898140255867427 0
+288 -0.2052315233354475 -0.08335160778038875 0
+289 -0.1919565641908406 -0.180520242911961 0
+290 -0.3873880221019035 -0.3511115757959653 0
+291 0.03812166187730062 -0.2035692371431176 0
+292 0.07821324383204481 -0.3014520515347556 0
+293 -0.471965607205798 -0.2949088639215298 0
+294 -0.2780588369049468 -0.3132434743303074 0
+295 -0.04446417448473222 0.3458594592405368 0
+296 -0.158506687037424 -0.2885001489673101 0
+297 0.1988962497868186 0.4637600099526067 0
+298 -0.08197016647682964 0.4368687964577961 0
+299 0.2764896627682549 0.1586516714450626 0
+300 0.1643634425737215 0.5487756437385726 0
+301 0.0009887711868924731 -0.1050285163357862 0
+302 -0.4759956827763721 -0.1977472795328587 0
+303 0.1785501348271464 -0.01151913447748107 0
+304 0.2357949522040577 -0.0882352995721746 0
+305 0.2914128383908219 -0.2402081887258993 0
+306 0.1590683629904295 0.3730262912511938 0
+307 0.193499151418948 -0.2980207750184558 0
+308 -0.09904634410703614 -0.3834985923528689 0
+309 -0.05209290583226375 -0.472367545964878 0
+310 0.3069239889230257 0.2420193591372739 0
+311 0.0558571720051072 0.3416291235146447 0
+312 -0.04729596799041022 -0.0207649684194578 0
+313 0.1189921121260211 -0.3881508820474189 0
+314 0.0689521747575573 0.5845753642124772 0
+315 0.1502816874245865 -0.4796551606873013 0
+316 -0.311189712656628 -0.4167890745557961 0
+317 0.05121882973439718 -0.4741003585644007 0
+318 0.3998128391511796 0.0182258862173772 0
+319 0.3002655675268715 -0.3335321536089929 0
+320 -0.467167832121429 0.3676149390870807 0
+321 -0.2518479984663866 -0.4966179215435935 0
+322 -0.01954666967472093 0.5282357028341735 0
+323 -0.4420561546722742 -0.5424421013009838 0
+324 0.1347613524866945 0.279758732233144 0
+325 -0.3010146528029155 0.499437425778674 0
+326 -0.3932905172194274 -0.704044398463908 0
+327 -0.1207152632938502 -0.1029832573546522 0
+328 0.3404414354353801 0.09002305329016072 0
+329 -0.4085924305662 0.3248696891044284 0
+330 -0.2675136738763451 0.4239230814511841 0
+331 0.3381677355288537 0.3390803995739855 0
+332 -0.03135430994741292 -0.2897556827047398 0
+333 -0.4684423854644831 0.4594855265543136 0
+334 -0.1416780663454387 -0.650497561298596 0
+335 -0.2329290029658952 0.3521166654026555 0
+336 0.2919601509669086 0.7762980475443713 0
+337 -0.3480645188170259 -0.5188775491211935 0
+338 0.1250774351939876 -0.1236670587836791 0
+339 -0.00499978046996577 -0.5599141029934792 0
+340 0.1281930689261892 0.0574485428802127 0
+341 -0.3738510854357225 -0.6160332211708907 0
+342 -0.2261993587752863 -0.6659094991655576 0
+343 -0.0496067415353007 -0.6431181395487076 0
+344 -0.5123231645397268 -0.4759560327440612 0
+345 0.3167058115570347 -0.4220048574037433 0
+346 -0.310371007683696 -0.6849236363680253 0
+347 0.3000969971962698 0.6841467695748745 0
+348 -0.1267423485632745 0.5301746414195229 0
+349 -0.5364806003916698 -0.5741320194152774 0
+350 0.4874619606552645 0.2213744939628277 0
+351 -0.173963059451156 0.2053413073906938 0
+352 -0.1517608384385666 -0.4816284625262366 0
+353 0.3300821826779072 0.6029785234219056 0
+354 0.1852972921635817 -0.5657488879083675 0
+355 0.3728962509741941 -0.5876793227319536 0
+356 -0.3900629087296096 0.5173545158421649 0
+357 -0.193442868509227 -0.5767656057713316 0
+358 0.3419878803943121 -0.5045479849208596 0
+359 0.03964345499374758 -0.6396249766172708 0
+360 0.2188727675700079 -0.6521456305981037 0
+361 0.2318729165784665 0.07358915109128716 0
+362 0.1021058297805448 -0.814680227389906 0
+363 0.249783898267344 -0.4917879358005596 0
+364 0.5034847299315688 -0.1006765021689996 0
+365 0.4662153121881227 0.1058958014249786 0
+366 0.07332618353488179 0.1191250094298667 0
+367 0.460832517356312 -0.237611745794315 0
+368 -0.479917895250232 -0.3811384675540024 0
+369 0.3077305949006116 -0.6735820307749127 0
+370 0.266775987343034 0.403661554251556 0
+371 -0.5078335253404545 -0.1085800469582984 0
+372 -0.201367012049343 0.2788333939787389 0
+373 0.2050343904188623 0.2198272789697197 0
+374 0.1306865074554725 -0.6461565721650109 0
+375 0.3859819990685978 -0.3606134897483774 0
+376 0.4993852676761485 0.3201165285218569 0
+377 0.4860319990196429 0.6531882455250706 0
+378 0.07706904501651238 -0.7228835044980104 0
+379 -0.4361160652578225 0.04427302365264754 0
+380 0.1450409776183777 0.6547036267625423 0
+381 -0.4868410836903728 0.5500612947763699 0
+382 -0.5757305643044726 -0.4081614681944651 0
+383 0.263771840481441 0.5400011675433607 0
+384 0.4110702747610515 0.2760245058272874 0
+385 -0.08803530681824034 0.07379012053319717 0
+386 -0.4817254415443842 0.6266685936133359 0
+387 0.323803517293315 -0.06254169478854399 0
+388 -0.5552389700183259 -0.7512480913213753 0
+389 0.382048199532339 -0.1942653002526116 0
+390 -0.1876783180126735 0.0704523036687483 0
+391 -0.4751778848396058 -0.7282117404797854 0
+392 -0.5499092797379446 -0.2564971695667416 0
+393 0.219851725292466 0.7165641113995326 0
+394 -0.01025709985129425 0.6335980648316029 0
+395 -0.5453399082494779 0.2213350026921679 0
+396 -0.2649712173238684 -0.007308662875572608 0
+397 -0.5556443425464735 -0.02299227648522159 0
+398 0.1095381188945286 0.1971049003022462 0
+399 -0.638458426110373 0.4672835956079769 0
+400 -0.346884240687709 0.6741829574741396 0
+401 -0.09139052853106094 -0.7452180316153449 0
+402 -0.2205225217227749 0.5164229450015527 0
+403 0.3552725826516125 0.5235330398028322 0
+404 -0.2535384179919559 -0.7702946536489805 0
+405 -0.3280145767961103 0.5828514106412327 0
+406 -0.5506017429376822 0.4143813270771181 0
+407 0.4585138244858044 -0.3783286933767109 0
+408 -0.3693922365705392 -0.03136873166693083 0
+409 -0.01787720021117375 0.2616733019160574 0
+410 -0.6162889521955293 0.06522506122651073 0
+411 0.2442281401814541 -0.7536003118590476 0
+412 0.4063464948286463 -0.09511288722220682 0
+413 0.3901978806057825 0.6694096544824485 0
+414 0.4655769107405767 -0.1620170550868065 0
+415 -0.3280581788905707 0.1414339049630858 0
+416 -0.5097433078936839 0.6902413533710781 0
+417 -0.2736531800614983 0.08149532696235445 0
+418 -0.5486503786802042 -0.6671297970631638 0
+419 -0.3299192792955695 0.3372239032621044 0
+420 -0.4558525340747375 0.1434082738701169 0
+421 -0.0001430320703094401 -0.8129307203378724 0
+422 0.1228448074692967 0.8568592734177389 0
+423 -0.6608430807282704 -0.1338581937882606 0
+424 -0.6375480220568117 -0.2366628276984261 0
+425 0.5252567395192239 0.5584306995877726 0
+426 -0.3857985885402326 0.8033442782404672 0
+427 0.4388826257800226 -0.3115651688221367 0
+428 -0.6410647453330565 0.3627267508193242 0
+429 -0.7496157125109288 -0.03779600491662746 0
+430 0.4269685719437261 -0.5221002644877679 0
+431 -0.5551566462594364 0.6177550872289869 0
+432 -0.4117895370221333 -0.7915426373067653 0
+433 0.6993827794551659 0.3994123302359561 0
+434 0.2556963237258529 -0.8888515505178286 0
+435 -0.3188905297627745 -0.8498142328635798 0
+436 0.6387558277118134 0.3503633375331786 0
+437 -0.6242853787726539 0.264883304686998 0
+438 -0.9264803859942226 -0.1287176948808177 0
+439 -0.1877837819603203 0.6000750655148042 0
+440 -0.2646582448657857 0.6448779789481707 0
+441 -0.152133249118561 0.9218986987885697 0
+442 -0.1644059540140628 -0.8126788887116688 0
+443 -0.2711782104860975 0.2113417508539306 0
+444 0.5863255770833402 0.06362010327612649 0
+445 0.1870563659681501 -0.8070574425014467 0
+446 -0.6922911209611479 -0.6385590572185768 0
+447 -0.1374030353756332 0.3565393869093728 0
+448 0.5901521891586549 -0.3086326577494312 0
+449 0.6182140273665455 -0.1662228358156973 0
+450 0.4693924724692355 -0.7139409480108876 0
+451 -0.5652415637379284 0.7295687888279005 0
+452 0.01981020554516885 0.1873099581572978 0
+453 0.5532382149086871 0.4597941468025001 0
+454 0.6333860539061867 0.4305455832304169 0
+455 -0.5884961619158667 -0.09257475964691164 0
+456 0.0200651639619524 0.05348660976204545 0
+457 0.481483175664595 -0.4581084009819107 0
+458 0.3556071521463915 0.4337661665395246 0
+459 0.3765635464195665 0.806863937736678 0
+460 -0.4350596127731527 0.7006073571185951 0
+461 0.5388532869391327 -0.3864492419276446 0
+462 -0.3649205668318742 0.2450053511570122 0
+463 0.6837444684437251 0.2524094462075003 0
+464 0.8572897592671798 0.3041049149239807 0
+465 0.455707508460543 0.7636911176744583 0
+466 0.6473853101215116 -0.0218761336499213 0
+467 0.6204393937082382 0.5302857844852089 0
+468 0.604706038717405 0.6532892821972947 0
+469 -0.3556647096111131 0.06208013088590247 0
+470 -0.2979660072832331 0.8722343282071957 0
+471 0.500999773378926 0.4058512661205096 0
+472 0.5047965351549493 -0.5290773716437192 0
+473 -0.6096015435690453 -0.3297708307052061 0
+474 -0.724363526056054 0.1324843044201993 0
+475 -0.1522800036552821 0.1342498878106648 0
+476 -0.2269619617449617 -0.8957097598845233 0
+477 0.7309898872604753 -0.4247363063277748 0
+478 -0.08710116339252107 -0.8332390086263972 0
+479 0.7525943858244931 -0.5604841538449994 0
+480 -0.2316541976717628 0.9192866843212151 0
+481 -0.7540127198378932 0.3400982776729103 0
+482 -0.04731981910284444 -0.9327380075711851 0
+483 0.6557530129991036 -0.3187264965268145 0
+484 0.0001724796024830111 0.4250189149856317 0
+485 0.1413853047947234 0.7593007597512331 0
+486 -0.7832727442151514 0.2334160887003146 0
+487 0.04843641505981688 0.9374508256956847 0
+488 -0.1368167665626629 -0.924135977114844 0
+489 -0.801393656822481 -0.2301204258059725 0
+490 0.3083867834800733 -0.1452090690529445 0
+491 0.1284393129705075 -0.2236424115536497 0
+492 -0.690009345595062 0.2170391717094603 0
+493 -0.4904967966076433 0.7788346059905684 0
+494 -0.3901940629776298 -0.1392267927930228 0
+495 0.9462307892661517 -0.03288038834450059 0
+496 -0.8612168712247568 0.01819684031637953 0
+497 -0.6347132090670289 0.5654415930449135 0
+498 -0.3757873431037344 -0.2612038230449293 0
+499 -0.5535867630526328 0.1334018274115283 0
+500 -0.7672059278342828 -0.3931896284192145 0
+501 0.2082911918450492 0.9074837107568923 0
+502 0.05022538082042499 -0.9358689564886321 0
+503 0.9192572979358884 -0.1002735754856719 0
+504 -0.7263884933172041 -0.3018752795664544 0
+505 0.794050110332126 0.238168529175106 0
+506 -0.847811282671954 -0.1544913865654889 0
+507 -0.850062300520715 -0.08167029746152871 0
+508 0.2144229239062995 0.8149211727830377 0
+509 0.5569168313794729 0.1643219243286201 0
+510 -0.6949443798658144 0.621123751819485 0
+511 0.740766936601075 0.1568172074017683 0
+512 -0.7203549260756636 -0.2090981075711651 0
+513 -0.2771441373982809 -0.1157961998050268 0
+514 -0.7306148554436583 0.5424321794980251 0
+515 -0.6333629286139567 0.6717401575427867 0
+516 0.8701786782657281 -0.02130556674529047 0
+517 -0.8496514132994603 -0.4065165681033898 0
+518 0.08431947107947543 0.7916518812483164 0
+519 -0.2896115579251017 -0.2111783262434401 0
+520 0.5820949408808411 -0.01668536424104822 0
+521 0.8128969600568244 -0.2934493570940539 0
+522 0.8881783120440532 -0.1696376523132233 0
+523 -0.2298578852206504 -0.2486981283679218 0
+524 0.8257959247814073 -0.1093782778331251 0
+525 -0.8047351142615391 0.4850492181537549 0
+526 0.8745470843692873 -0.2362850874305321 0
+527 0.9384132243254537 0.05632504728984392 0
+528 -0.7803546236343779 0.05476080911931544 0
+529 -0.9392659739630638 0.3431900787540593 0.4853045053070748
+530 -0.7910440875347089 0.6117591450696751 0.5065994974499256
+531 -0.5719988138472379 0.8202544464721621 0.4814977173341509
+532 -0.3321631563691106 0.9432219450113053 0.4827257257651405
+533 -0.976257028239513 0.2166153614427063 0.6475891870252556
+534 -0.9773715327029041 0.21152987274136 0.1550133699861822
+535 -0.9773717333880407 0.2115289454756884 0.8452207110393758
+536 -0.2082237520349928 0.9780812180429956 0.155013369986183
+537 -0.2082223536721352 0.9780815157394789 0.8452207110393767
+538 -0.9170851706846403 0.3986913464201653 0.730188848666249
+539 -0.9169713407336365 0.3989530802903483 0.2704348625956347
+540 -0.3995333704461671 0.9167186514410657 0.7255415625883596
+541 -0.3960002552968459 0.9182504003837041 0.2704348625956443
+542 -0.7743312367591608 0.6327804799288838 0.7186242239054739
+543 -0.7742471635225728 0.6328833461051492 0.2659954095509822
+544 -0.6205150753906394 0.7841945174591245 0.7203380202464894
+545 -0.6236087483806969 0.7817366109778026 0.279346475678474
+546 -0.8200308012207234 0.572319390768213 0.7849661320661909
+547 -0.8197181222872534 0.5727671429070101 0.211724675585628
+548 -0.6938330116902549 0.720135925981221 0.7203701015797966
+549 -0.7087300825895233 0.7054797445941645 0.2713835936847093
+550 -0.5532506283839055 0.8330148511238042 0.2365021314533479
+551 -0.563859583586875 0.8258706738934587 0.7660887336121032
+552 -0.9521096464035445 0.3057568007834298 0.2801068001767859
+553 -0.9590526003515908 0.2832280172561533 0.7104110858525614
+554 -0.3040417217066984 0.95265871720235 0.2798106581209703
+555 -0.302646566865025 0.9531028567603886 0.730951968278685
+556 -0.9783322618841703 0.2070410233663932 0.5102464682932181
+557 -0.9468003853882371 0.3218214259938049 0.1051037793552513
+558 -0.9471415746401231 0.3208158936029014 0.8952277138523819
+559 -0.2484412514299149 0.968646965920989 0.4507211129046973
+560 -0.9632467987882811 0.2686179529073379 0.4583994794810094
+561 -0.3200400970450523 0.9474039984522935 0.8956647033164949
+562 -0.3201027425132446 0.9473828340409697 0.1045226755995171
+563 -0.09599045523053115 0.9953822544654065 0.1518565625972821
+564 -0.9917010042378518 0.1285656182407896 0.193268491832901
+565 -0.09591032412551498 0.9953899787149452 0.8484107219212023
+566 -0.9954278585644667 0.09551637762059594 0.8387307346163252
+567 -0.4799930755812677 0.8772722766587552 0.5200271789959322
+568 -0.1225768780414963 0.9924590213049603 0.3344928251825433
+569 -0.99785299821021 0.06549346503961016 0.3686037582349758
+570 -0.1134139469512339 0.9935478230246108 0.6850853379155327
+571 -0.9829507090551584 0.1838692567232527 0.7403139815082466
+572 -0.9760418753891588 0.2175827600863954 0.2494023512510187
+573 -0.190335338890567 0.9817191343604409 0.7613409421317954
+574 -0.1930648274956744 0.981186002949525 0.2449781568693677
+575 -0.147211115719889 0.9891050942182561 0.07136282521062355
+576 -0.1471976091077919 0.9891071043486392 0.9287207357133048
+577 -0.9901589340385734 0.1399474377886074 0.08763524409677081
+578 -0.989368251606483 0.1454319865543031 0.9274236977940166
+579 -0.9714494031355834 0.2372468274761939 0.9286929813193815
+580 -0.2347678235345355 0.9720514744769729 0.928692981319382
+581 -0.9714494031355836 0.2372468274761939 0.07130701868036859
+582 -0.2347678235345355 0.9720514744769729 0.07130701868036907
+583 -0.4127048754811398 0.9108648010292728 0.8287512276305901
+584 -0.412815605756743 0.9108146219970852 0.1715531066908904
+585 -0.9103476658722549 0.4138443273030781 0.8288225979501729
+586 -0.9102136670476255 0.414138962571399 0.1714606702132057
+587 -0.8608623997098688 0.5088378216738276 0.8552803917457172
+588 -0.860783214044285 0.5089717658373505 0.1453605815360826
+589 -0.5285226454485201 0.8489192030152799 0.8515789592584662
+590 -0.5119929795555076 0.8589896325834634 0.1498838347523728
+591 -0.8034567472531505 0.5953631289334155 0.9054190855904765
+592 -0.8033643991244999 0.5954877347345882 0.0947383726413541
+593 -0.6241718901836503 0.7812870480844855 0.6468292058396435
+594 -0.6022867880200611 0.7982797911612682 0.3888613754502612
+595 -0.6203732305115662 0.784306735190157 0.8782290054956053
+596 -0.7767775795542315 0.6297750327711233 0.6227108425139345
+597 -0.7825327843815513 0.6226093810472636 0.3901404025448285
+598 -0.8410837335028298 0.5409049391870451 0.5835939469904714
+599 -0.4467875343044753 0.8946400947812072 0.3550393821918137
+600 -0.4577522859129598 0.8890797741156077 0.6236300628665049
+601 -0.8982453655404812 0.4394943267950649 0.3455811173650706
+602 -0.8881607685216673 0.459532859825063 0.6444441107963509
+603 -0.9354999055644357 0.3533269402252418 0.3838063280620518
+604 -0.343766908597223 0.9390550103979579 0.3762575963868008
+605 -0.9315110824488644 0.3637129407581547 0.6500608739098623
+606 -0.1594267077119825 0.9872097674091955 0.5015720744903065
+607 -0.9902279080786904 0.139458560375835 0.520404853765381
+608 -0.9406431617634041 0.3393971747492104 0.2058962262494543
+609 -0.9407980328883836 0.3389676405106363 0.794300559631808
+610 -0.337994715850797 0.9411480075189762 0.2043807860672182
+611 -0.3378019589015478 0.9412172100861083 0.7960865110542177
+612 -0.9713692711195613 0.2375747021983868 0.3443106388821362
+613 -0.2366674226153946 0.9715907219979956 0.3507670320593466
+614 -0.4794601168929118 0.8775636708006064 0.2537092784272525
+615 -0.4892241231716311 0.8721581033889146 0.7493404207156225
+616 -0.2335891576040041 0.9723353873277737 0.6601723214871175
+617 -0.9880775455805693 0.1539570197148497 0.4160350555416725
+618 -0.1680495575669629 0.9857785482559194 0.4137323719488888
+619 -0.8709174817609662 0.4914292827692883 0.2617419401432236
+620 -0.8775678210357059 0.4794525205717909 0.7517433084229413
+621 -0.9616557147811302 0.274259523496986 0.2020887668327065
+622 -0.9638125933169048 0.2665807287928786 0.7999914937630218
+623 -0.2692199368894629 0.9630787224216064 0.1989553769690583
+624 -0.2689728786855852 0.9631477511428811 0.801701458053507
+625 -0.9923710297079829 0.1232872231673583 0.3024388953859542
+626 -0.6592289674337952 0.7519422640709673 0.08855713328539629
+627 -0.6638546340676276 0.7478616348141789 0.9361130185885662
+628 -0.08256773356514305 0.9965854551286184 0.2462655089296034
+629 -0.08009532145498227 0.9967872087266285 0.7587593124244638
+630 -0.5816556859568672 0.8134351006651028 0.07963255512519031
+631 -0.5873720385379984 0.8093170505702424 0.9327662573137641
+632 -0.2709036564203072 0.9626064662872925 0.5550280167600687
+633 -0.8370470625428161 0.5471308939261637 0.4227677696172704
+634 -0.8928519438111826 0.4503503152353654 0.451532616094026
+635 -0.4030236676702685 0.9151895559377878 0.4581328622645257
+636 -0.8780377543489088 0.4785913726112548 0.5560411503580756
+637 -0.5452052368522714 0.838302600323331 0.6765540585427813
+638 -0.5355530888787133 0.8445015624570917 0.3268783278459751
+639 -0.6407169877641398 0.7677771431805241 0.8032725700360669
+640 -0.9905458034711798 0.1371824012970861 0.6327129258777549
+641 -0.8264468756654157 0.5630147082473714 0.319564657021652
+642 -0.8980665702352384 0.4398595632993736 0.08090774732524031
+643 -0.8981820869621584 0.4396236329638134 0.9193131124339943
+644 -0.4367659793335928 0.8995751660071366 0.08136404926766995
+645 -0.4369499654229247 0.8994858129603296 0.9187925777178435
+646 -0.9182965549395954 0.3958932143723487 0.5642856417400383
+647 -0.3901820204806273 0.9207377427333233 0.5455350337682113
+648 -0.9980764147957163 0.0619957275022175 0.2279130430791431
+649 -0.5082777045975883 0.8611932274518922 0.4217394740137765
+650 -0.7338743475880671 0.6792852434376802 0.09279949762658779
+651 -0.7304062529379254 0.6830129615674796 0.9196958588270968
+652 -0.9975970715691886 0.06928262983301939 0.5613627352683926
+653 -0.06783673488491912 0.9976964354953632 0.5468889514127163
+654 -0.9979903262038186 0.06336646434507676 0.1431361298346825
+655 -0.5553740206445431 0.8316006837377629 0.5854546527251471
+656 -0.9581766432947076 0.2861774279087822 0.5764151123665553
+657 -0.6799067216544399 0.7332986089234808 0.8703264754542905
+658 -0.5166865487080223 0.8561746377837832 0.05951018826482166
+659 -0.5170140758981195 0.8559768953209038 0.9406275588580146
+660 -0.1446360123998852 0.9894849285952061 0.6008706330982989
+661 -0.7002047403784886 0.7139420995791559 0.6313158256035638
+662 -0.7309960010581641 0.6823817453866806 0.3445208680272688
+663 -0.9973272103516628 0.07306459807711095 0.455597259885667
+664 -0.07119254902843161 0.9974625912598599 0.4311088151075504
+665 -0.7378153617373853 0.6750025866501037 0.8209420210564629
+666 -0.7580184601732105 0.6522330979309737 0.18913565398189
+667 -0.06834012583269218 0.9976620806671825 0.9354262915268488
+668 -0.06835891337518497 0.9976607935376453 0.06464387756154406
+669 -0.997907163028794 0.06466292582171237 0.9336104384398454
+670 -0.9981765704843149 0.06036169427850549 0.06615427478625358
+671 -0.9967540036162204 0.08050749204288717 0.728536502347487
+672 -0.6545605735833732 0.7560095604621714 0.4631460067468154
+673 -0.715975097433559 0.6981258195017612 0.5381112769416089
+674 -0.7264076351120679 0.6872641032753659 0.4335380466697727
+675 -0.6712125326907644 0.7412649566510272 0.3587102283081879
+676 -0.8664292457048364 0.4992998720081436 0.3603898399304167
+677 -0.3436601016845758 0.9390941031175453 0.6401431609581579
+678 -0.6028903872205806 0.7978240288415852 0.1681898142258756
+679 -0.8569646300728165 0.5153752252525928 0.0642013403005354
+680 -0.8570237264818297 0.515276947133479 0.9360025179540374
+681 -0.6389928972891724 0.7692126345907152 0.5577257808651549
+682 -0.06529201612343202 0.9978661997635441 0.6265689844849409
+683 -0.8323524102678153 0.5542467547233438 0.6843470941158939
+684 -0.6831295865724666 0.7302971778319639 0.1815686947471554
+685 -0.9983467643023074 0.05747815417280498 0.6445224326983582
+686 -0.9802781326930307 0.1976228290554131 0.577473709465633
+687 -0.8525628048494924 0.5226247829821757 0.5045741076085684
+688 -0.7375385805460219 0.6753049993937252 0.6732552484006923
+689 0.3381053423938106 0.9411082708406957 0.48686309530787
+690 0.5578774126813952 0.8299233653897884 0.5006686618978221
+691 0.8288849281008572 0.5594191415810121 0.500207042435953
+692 0.7731686146977866 0.6342005150157998 0.5000460094301914
+693 0.7038051791569101 0.7103930389523183 0.5090545604503189
+694 0.9434124383040732 0.3316217291631589 0.4824350679296279
+695 0.214550755462004 0.9767128407729078 0.6468308443228235
+696 0.21152987274136 0.9773715327029041 0.1550133699861822
+697 0.2115289454756884 0.9773717333880407 0.8452207110393758
+698 0.9780812180429956 0.2082237520349928 0.155013369986183
+699 0.9780815157394789 0.2082223536721352 0.8452207110393767
+700 0.3987141415220682 0.9170752604613865 0.730188848666249
+701 0.3989758725627935 0.9169614240047165 0.2704348625956347
+702 0.9156662291153456 0.4019394940257591 0.7266515428182212
+703 0.9151803365955496 0.4030446023814936 0.2773766258591942
+704 0.6422894623907452 0.7664621624723605 0.7437915935065398
+705 0.6422895492414902 0.7664620896920886 0.2562224700968316
+706 0.5765912652789796 0.817032748917683 0.7894097116192326
+707 0.576607552772475 0.8170212543659667 0.2106882331486446
+708 0.7051857567767542 0.709022600795769 0.7911003150658646
+709 0.7051857326013364 0.7090226248403619 0.2089026989132541
+710 0.3057838391552551 0.9521009629821162 0.2801229499435473
+711 0.2832586916997101 0.9590435410222879 0.7103914861025569
+712 0.9526593770533667 0.3040396541773649 0.2798106581209703
+713 0.9528630939798993 0.303400600083543 0.7217747973061267
+714 0.2041034648630271 0.9789493222996313 0.5094787801197229
+715 0.3218296432111831 0.9467975922817733 0.1051037793552513
+716 0.3208241117795892 0.9471387909387079 0.8952277138523819
+717 0.9686554801791342 0.2484080528463825 0.450623328048122
+718 0.264392651299446 0.9644151211687059 0.4580271780099038
+719 0.9474052240010381 0.3200364690711713 0.8956647033164949
+720 0.9473840598296077 0.3200991146204094 0.1045226755995171
+721 0.9953822587169444 0.09599041114378976 0.1518565625972821
+722 0.1285658529987508 0.9917009738034464 0.1932685639300739
+723 0.9953899829629337 0.09591028003843169 0.8484107219212023
+724 0.09551805258918585 0.9954276978412691 0.8387297321767953
+725 0.8825695805397716 0.4701818111176268 0.5010284637957932
+726 0.9924586226138771 0.1225801060505563 0.3344952694480511
+727 0.06549422878991448 0.997852948081637 0.3686042196568833
+728 0.9935527948484828 0.1133703834727953 0.6851014280042834
+729 0.1836501852447154 0.9829916629654505 0.7402212808152396
+730 0.2175917427264787 0.976039872903384 0.2494077945875833
+731 0.9817185258431241 0.1903384774983847 0.7613382933461124
+732 0.9811855411131207 0.193067174606541 0.2449803018370584
+733 0.4703682308669898 0.8824702416461747 0.5010284637957796
+734 0.9891050953049507 0.1472111084184361 0.07136282521062358
+735 0.9891071054352339 0.1471976018063241 0.9287207357133048
+736 0.1399474712733105 0.9901589293058999 0.08763525439636698
+737 0.1454319985037227 0.9893682498499805 0.9274236977940166
+738 0.2372468274761939 0.9714494031355834 0.9286929813193815
+739 0.9720514744769729 0.2347678235345355 0.928692981319382
+740 0.2372468274761939 0.9714494031355836 0.07130701868036859
+741 0.9720514744769729 0.2347678235345355 0.07130701868036907
+742 0.9107150276292214 0.4130352750677674 0.8284643483065787
+743 0.9106648084316474 0.4131459871330603 0.1718399860149018
+744 0.4141389257000954 0.9102136838237331 0.8285146806861833
+745 0.414433517906914 0.9100795895059397 0.1717685874771955
+746 0.5121826756995009 0.858876537526378 0.8635028892787803
+747 0.5122415817462456 0.8588414067393959 0.1366292421419629
+748 0.863382047225182 0.5045507313732223 0.8701189833055687
+749 0.863330258699225 0.5046393409300638 0.1300844628116332
+750 0.6079342330637956 0.7939873854597028 0.8673114275268556
+751 0.6079461041528296 0.7939782959536092 0.1327275432764892
+752 0.7518436864041959 0.6593413920073191 0.6397587303385693
+753 0.7595008632666285 0.6505062941257724 0.3589430136488505
+754 0.7559695442353253 0.6546067889875834 0.8504068554959977
+755 0.7559593471439295 0.6546185648648563 0.1496364099835539
+756 0.6878900256483247 0.7258149300018202 0.8641667207247912
+757 0.6878906583670203 0.7258143303430895 0.1358468490393105
+758 0.7088605072100402 0.7053486948438514 0.3863042485762619
+759 0.628498149982987 0.7778110795482172 0.6369819110393535
+760 0.6357868174084842 0.7718647049901886 0.367703034344145
+761 0.8988853619558075 0.4381838724343663 0.389712874777665
+762 0.9014677528795971 0.4328462666099934 0.6155205300844736
+763 0.4542944621247975 0.8908515822979384 0.3747600196518778
+764 0.4535157552401815 0.8912482593244869 0.6319675611756562
+765 0.348823531782111 0.9371884248511901 0.3830801192165508
+766 0.9392650317621979 0.3431926574225581 0.3753723003803118
+767 0.3630728032082929 0.9317607737882467 0.6474484254462448
+768 0.9407688723551328 0.3390485640843384 0.6462536070988469
+769 0.9871720353390406 0.1596601786438167 0.5016783465833288
+770 0.1382003190968983 0.9904042971441085 0.5200694441078569
+771 0.3394091991259667 0.94063882311367 0.2058962262494543
+772 0.3389796668671718 0.9407936997294472 0.794300559631808
+773 0.9411500637078871 0.3379889903275545 0.2043807860672182
+774 0.9412192651023721 0.3377962329573119 0.7960865110542177
+775 0.2360927673670301 0.9717305208734452 0.344131537198179
+776 0.9715865991953082 0.2366843473153553 0.350779602567673
+777 0.8711474380695429 0.4910215281888076 0.2320050762715046
+778 0.8713902801358597 0.4905904398627717 0.7691427659277738
+779 0.9746161867744557 0.2238823094333697 0.6679523812751348
+780 0.4958309159444523 0.8684190824674948 0.2617330872502885
+781 0.4949659372144667 0.8689123782047328 0.7390555056582565
+782 0.1531265427889614 0.9882065886713671 0.4159542361942153
+783 0.985770948837291 0.1680941296667648 0.4137371267499861
+784 0.2742627788670027 0.9616547863595073 0.2020887668327065
+785 0.2665839751672952 0.9638116953969809 0.799991493763022
+786 0.9630791835323875 0.2692182873554287 0.1989553769690583
+787 0.9631482118305077 0.2689712290333209 0.8017014580535069
+788 0.1229533128716197 0.9924124560150852 0.3024026382457511
+789 0.7364213903365932 0.6765231229268659 0.06873818537969169
+790 0.7364224481514815 0.6765219714529446 0.9312704312360501
+791 0.9965853626461465 0.08256884981304313 0.2462664267762432
+792 0.9967870828273435 0.08009688825762504 0.7587580912893692
+793 0.8077149146747965 0.5895732495728468 0.08025923815508461
+794 0.80772799670595 0.589555326782307 0.9197964338833367
+795 0.7610005977031652 0.6487511774905886 0.2499458384173447
+796 0.7609977955730836 0.6487544644416001 0.7501534395836589
+797 0.6697506479845857 0.7425860687652492 0.4500525850211241
+798 0.6928610895577502 0.7210710856613565 0.594625192253311
+799 0.745271562315587 0.6667610504548718 0.5640344451007628
+800 0.7416378109756854 0.6708005346831452 0.4377342247379005
+801 0.6308114572680596 0.7759361477462865 0.5293712500969264
+802 0.6096825654166106 0.7926456771010743 0.4511841109784971
+803 0.7979249960194321 0.6027567508766611 0.5766877330314233
+804 0.7978672972136939 0.6028331245352357 0.4236635609489023
+805 0.9651748411129382 0.2616056690567208 0.5563653459193444
+806 0.6452498418516237 0.7639716235505443 0.8111559536886566
+807 0.6452553175777475 0.7639669987228771 0.188877558894906
+808 0.404076108578049 0.9147253677888357 0.4607559303594634
+809 0.5488394688405127 0.8359277704699515 0.4081250235324678
+810 0.9152447706418716 0.4028982623600005 0.4566198579151338
+811 0.571360312478101 0.8206993318657736 0.3083908920664721
+812 0.5697678248005942 0.8218057105070513 0.6896042134173657
+813 0.8219431007112379 0.5695696087338191 0.3122918242932954
+814 0.5466568250595858 0.8373567433392852 0.5946703801427451
+815 0.8211673056272303 0.5706875293616593 0.6881524363061742
+816 0.1362033612785504 0.9906808993699356 0.632395075189614
+817 0.6986365656171925 0.7154767286101025 0.6927351969645495
+818 0.6916770744583267 0.7222069126426098 0.3094264056775545
+819 0.4347116758777763 0.9005696857298358 0.07943761641792425
+820 0.4344928990469912 0.9006752581689703 0.9206881695858703
+821 0.9004833121806654 0.4348905661015633 0.07956007053366478
+822 0.9005002323121296 0.4348555295794234 0.9205460758603929
+823 0.3845387214456464 0.9231088623282453 0.5549532633728871
+824 0.9263676444988843 0.3766204816862578 0.5445483494034266
+825 0.8541660678773146 0.5200003158527952 0.4050524416214326
+826 0.06192861001241663 0.9980805815473666 0.2279058060705371
+827 0.06877962922699229 0.9976318772991356 0.5612154380101058
+828 0.9976980878343419 0.06781242903552351 0.5468989232494289
+829 0.8546579018219774 0.5191915550673522 0.5965983418290685
+830 0.0633553240804339 0.9979910334820965 0.1431349373993763
+831 0.6610759710154466 0.7503189725350039 0.0666573911291488
+832 0.6610741169732972 0.750320606053156 0.9333530190466863
+833 0.2825977874114191 0.9592384951356834 0.5748019905614467
+834 0.8576536770996944 0.5142277415283748 0.0573902217991977
+835 0.8576629850772776 0.5142122169185926 0.9426648276412184
+836 0.5121632231684254 0.8588881375556012 0.05573972552785768
+837 0.582050614846911 0.8131525574923397 0.06529231701257641
+838 0.5799032712327417 0.8146853355827421 0.9335085115917
+839 0.5116863082843304 0.8591723470377484 0.94353991409127
+840 0.9894268335915154 0.1450328961617584 0.6010663410969236
+841 0.07292722615963204 0.9973372647628591 0.4555825714750588
+842 0.9974623650720889 0.07119571802289322 0.4311090871027557
+843 0.9976620813734524 0.06834011552222477 0.9354262915268488
+844 0.9976607942441091 0.06835890306473064 0.06464387756154406
+845 0.06466294269528391 0.997907161935411 0.9336104384398454
+846 0.06035947256158727 0.9981767048334113 0.06615403835911161
+847 0.08020212936273061 0.9967786205801584 0.7284319375784661
+848 0.5183131521147537 0.8551909005274017 0.3382522556252766
+849 0.5169404207780519 0.8560213790354834 0.6638244150985059
+850 0.8166336690143664 0.5771563485158373 0.1936052800509082
+851 0.8167230442147786 0.5770298684197769 0.8066831678712415
+852 0.9978618503450922 0.06535845489199768 0.6266133384697585
+853 0.0571189705257036 0.9983673788771763 0.6444084901552684
+854 0.1954444258996562 0.9807147783044537 0.5767152268602928
+855 0.8742523119958985 0.4854718271638698 0.3232877685646184
+856 0.8749521618662024 0.4842093704645323 0.6792131233931421
+857 0.9392659739630638 -0.3431900787540593 0.4853045053070748
+858 0.7910440875347089 -0.6117591450696751 0.5065994974499256
+859 0.5719988138472379 -0.8202544464721621 0.4814977173341509
+860 0.3321631563691106 -0.9432219450113053 0.4827257257651405
+861 0.976257028239513 -0.2166153614427063 0.6475891870252556
+862 0.9773715327029041 -0.21152987274136 0.1550133699861822
+863 0.9773717333880407 -0.2115289454756884 0.8452207110393758
+864 0.2082237520349928 -0.9780812180429956 0.155013369986183
+865 0.2082223536721352 -0.9780815157394789 0.8452207110393767
+866 0.9170851706846403 -0.3986913464201653 0.730188848666249
+867 0.9169713407336365 -0.3989530802903483 0.2704348625956347
+868 0.3995333704461671 -0.9167186514410657 0.7255415625883596
+869 0.3960002552968459 -0.9182504003837041 0.2704348625956443
+870 0.7743312367591608 -0.6327804799288838 0.7186242239054739
+871 0.7742471635225728 -0.6328833461051492 0.2659954095509822
+872 0.6205150753906394 -0.7841945174591245 0.7203380202464894
+873 0.6236087483806969 -0.7817366109778026 0.279346475678474
+874 0.8200308012207234 -0.572319390768213 0.7849661320661909
+875 0.8197181222872534 -0.5727671429070101 0.211724675585628
+876 0.6938330116902549 -0.720135925981221 0.7203701015797966
+877 0.7087300825895233 -0.7054797445941645 0.2713835936847093
+878 0.563859583586875 -0.8258706738934587 0.7660887336121032
+879 0.5532506283839055 -0.8330148511238042 0.2365021314533479
+880 0.9521096464035445 -0.3057568007834298 0.2801068001767859
+881 0.9590526003515908 -0.2832280172561533 0.7104110858525614
+882 0.3040417217066984 -0.95265871720235 0.2798106581209703
+883 0.302646566865025 -0.9531028567603886 0.730951968278685
+884 0.9783322618841703 -0.2070410233663932 0.5102464682932181
+885 0.9468003853882371 -0.3218214259938049 0.1051037793552513
+886 0.9471415746401231 -0.3208158936029014 0.8952277138523819
+887 0.2484412514299149 -0.968646965920989 0.4507211129046973
+888 0.9632467987882811 -0.2686179529073379 0.4583994794810094
+889 0.3200400970450523 -0.9474039984522935 0.8956647033164949
+890 0.3201027425132446 -0.9473828340409697 0.1045226755995171
+891 0.09599045523053115 -0.9953822544654065 0.1518565625972821
+892 0.9917010042378518 -0.1285656182407896 0.193268491832901
+893 0.09591032412551498 -0.9953899787149452 0.8484107219212023
+894 0.9954278585644667 -0.09551637762059594 0.8387307346163252
+895 0.4799930755812677 -0.8772722766587552 0.5200271789959322
+896 0.1225768780414963 -0.9924590213049603 0.3344928251825433
+897 0.99785299821021 -0.06549346503961016 0.3686037582349758
+898 0.1134139469512339 -0.9935478230246108 0.6850853379155327
+899 0.9829507090551584 -0.1838692567232527 0.7403139815082466
+900 0.9760418753891588 -0.2175827600863954 0.2494023512510187
+901 0.190335338890567 -0.9817191343604409 0.7613409421317954
+902 0.1930648274956744 -0.981186002949525 0.2449781568693677
+903 0.147211115719889 -0.9891050942182561 0.07136282521062355
+904 0.1471976091077919 -0.9891071043486392 0.9287207357133048
+905 0.9901589340385734 -0.1399474377886074 0.08763524409677081
+906 0.989368251606483 -0.1454319865543031 0.9274236977940166
+907 0.9714494031355834 -0.2372468274761939 0.9286929813193815
+908 0.2347678235345355 -0.9720514744769729 0.928692981319382
+909 0.9714494031355836 -0.2372468274761939 0.07130701868036859
+910 0.2347678235345355 -0.9720514744769729 0.07130701868036907
+911 0.4127048754811398 -0.9108648010292728 0.8287512276305901
+912 0.412815605756743 -0.9108146219970852 0.1715531066908904
+913 0.9103476658722549 -0.4138443273030781 0.8288225979501729
+914 0.9102136670476255 -0.414138962571399 0.1714606702132057
+915 0.8608623997098688 -0.5088378216738276 0.8552803917457172
+916 0.860783214044285 -0.5089717658373505 0.1453605815360826
+917 0.5285226454485201 -0.8489192030152799 0.8515789592584662
+918 0.5119929795555076 -0.8589896325834634 0.1498838347523728
+919 0.8034567472531505 -0.5953631289334155 0.9054190855904765
+920 0.8033643991244999 -0.5954877347345882 0.0947383726413541
+921 0.6241718901836503 -0.7812870480844855 0.6468292058396435
+922 0.6022867880200611 -0.7982797911612682 0.3888613754502612
+923 0.6203732305115662 -0.784306735190157 0.8782290054956053
+924 0.7767775795542315 -0.6297750327711233 0.6227108425139345
+925 0.7825327843815513 -0.6226093810472636 0.3901404025448285
+926 0.8410837335028298 -0.5409049391870451 0.5835939469904714
+927 0.4467875343044753 -0.8946400947812072 0.3550393821918137
+928 0.4577522859129598 -0.8890797741156077 0.6236300628665049
+929 0.8982453655404812 -0.4394943267950649 0.3455811173650706
+930 0.8881607685216673 -0.459532859825063 0.6444441107963509
+931 0.9354999055644357 -0.3533269402252418 0.3838063280620518
+932 0.343766908597223 -0.9390550103979579 0.3762575963868008
+933 0.9315110824488644 -0.3637129407581547 0.6500608739098623
+934 0.1594267077119825 -0.9872097674091955 0.5015720744903065
+935 0.9902279080786904 -0.139458560375835 0.520404853765381
+936 0.9406431617634041 -0.3393971747492104 0.2058962262494543
+937 0.9407980328883836 -0.3389676405106363 0.794300559631808
+938 0.337994715850797 -0.9411480075189762 0.2043807860672182
+939 0.3378019589015478 -0.9412172100861083 0.7960865110542177
+940 0.9713692711195613 -0.2375747021983868 0.3443106388821362
+941 0.2366674226153946 -0.9715907219979956 0.3507670320593466
+942 0.4794601168929118 -0.8775636708006064 0.2537092784272525
+943 0.4892241231716311 -0.8721581033889146 0.7493404207156225
+944 0.2335891576040041 -0.9723353873277737 0.6601723214871175
+945 0.9880775455805693 -0.1539570197148497 0.4160350555416725
+946 0.1680495575669629 -0.9857785482559194 0.4137323719488888
+947 0.8709174817609662 -0.4914292827692883 0.2617419401432236
+948 0.8775678210357059 -0.4794525205717909 0.7517433084229413
+949 0.9616557147811302 -0.274259523496986 0.2020887668327065
+950 0.9638125933169048 -0.2665807287928786 0.7999914937630218
+951 0.2692199368894629 -0.9630787224216064 0.1989553769690583
+952 0.2689728786855852 -0.9631477511428811 0.801701458053507
+953 0.9923710297079829 -0.1232872231673583 0.3024388953859542
+954 0.6592289674337952 -0.7519422640709673 0.08855713328539629
+955 0.6638546340676276 -0.7478616348141789 0.9361130185885662
+956 0.08256773356514305 -0.9965854551286184 0.2462655089296034
+957 0.08009532145498227 -0.9967872087266285 0.7587593124244638
+958 0.5816556859568672 -0.8134351006651028 0.07963255512519031
+959 0.5873720385379984 -0.8093170505702424 0.9327662573137641
+960 0.2709036564203072 -0.9626064662872925 0.5550280167600687
+961 0.8370470625428161 -0.5471308939261637 0.4227677696172704
+962 0.8928519438111826 -0.4503503152353654 0.451532616094026
+963 0.4030236676702685 -0.9151895559377878 0.4581328622645257
+964 0.8780377543489088 -0.4785913726112548 0.5560411503580756
+965 0.5452052368522714 -0.838302600323331 0.6765540585427813
+966 0.5355530888787133 -0.8445015624570917 0.3268783278459751
+967 0.6407169877641398 -0.7677771431805241 0.8032725700360669
+968 0.9905458034711798 -0.1371824012970861 0.6327129258777549
+969 0.8264468756654157 -0.5630147082473714 0.319564657021652
+970 0.8980665702352384 -0.4398595632993736 0.08090774732524031
+971 0.8981820869621584 -0.4396236329638134 0.9193131124339943
+972 0.4367659793335928 -0.8995751660071366 0.08136404926766995
+973 0.4369499654229247 -0.8994858129603296 0.9187925777178435
+974 0.9182965549395954 -0.3958932143723487 0.5642856417400383
+975 0.3901820204806273 -0.9207377427333233 0.5455350337682113
+976 0.9980764147957163 -0.0619957275022175 0.2279130430791431
+977 0.5082777045975883 -0.8611932274518922 0.4217394740137765
+978 0.7338743475880671 -0.6792852434376802 0.09279949762658779
+979 0.7304062529379254 -0.6830129615674796 0.9196958588270968
+980 0.9975970715691886 -0.06928262983301939 0.5613627352683926
+981 0.06783673488491912 -0.9976964354953632 0.5468889514127163
+982 0.9979903262038186 -0.06336646434507676 0.1431361298346825
+983 0.5553740206445431 -0.8316006837377629 0.5854546527251471
+984 0.9581766432947076 -0.2861774279087822 0.5764151123665553
+985 0.6799067216544399 -0.7332986089234808 0.8703264754542905
+986 0.5166865487080223 -0.8561746377837832 0.05951018826482166
+987 0.5170140758981195 -0.8559768953209038 0.9406275588580146
+988 0.1446360123998852 -0.9894849285952061 0.6008706330982989
+989 0.7002047403784886 -0.7139420995791559 0.6313158256035638
+990 0.7309960010581641 -0.6823817453866806 0.3445208680272688
+991 0.9973272103516628 -0.07306459807711095 0.455597259885667
+992 0.07119254902843161 -0.9974625912598599 0.4311088151075504
+993 0.7378153617373853 -0.6750025866501037 0.8209420210564629
+994 0.7580184601732105 -0.6522330979309737 0.18913565398189
+995 0.06834012583269218 -0.9976620806671825 0.9354262915268488
+996 0.06835891337518497 -0.9976607935376453 0.06464387756154406
+997 0.997907163028794 -0.06466292582171237 0.9336104384398454
+998 0.9981765704843149 -0.06036169427850549 0.06615427478625358
+999 0.9967540036162204 -0.08050749204288717 0.728536502347487
+1000 0.6545605735833732 -0.7560095604621714 0.4631460067468154
+1001 0.715975097433559 -0.6981258195017612 0.5381112769416089
+1002 0.7264076351120679 -0.6872641032753659 0.4335380466697727
+1003 0.6712125326907644 -0.7412649566510272 0.3587102283081879
+1004 0.8664292457048364 -0.4992998720081436 0.3603898399304167
+1005 0.3436601016845758 -0.9390941031175453 0.6401431609581579
+1006 0.6028903872205806 -0.7978240288415852 0.1681898142258756
+1007 0.8569646300728165 -0.5153752252525928 0.0642013403005354
+1008 0.8570237264818297 -0.515276947133479 0.9360025179540374
+1009 0.6389928972891724 -0.7692126345907152 0.5577257808651549
+1010 0.06529201612343202 -0.9978661997635441 0.6265689844849409
+1011 0.8323524102678153 -0.5542467547233438 0.6843470941158939
+1012 0.6831295865724666 -0.7302971778319639 0.1815686947471554
+1013 0.9983467643023074 -0.05747815417280498 0.6445224326983582
+1014 0.9802781326930307 -0.1976228290554131 0.577473709465633
+1015 0.8525628048494924 -0.5226247829821757 0.5045741076085684
+1016 0.7375385805460219 -0.6753049993937252 0.6732552484006923
+1017 -0.3431900787540593 -0.9392659739630638 0.4853045053070748
+1018 -0.6117591450696751 -0.7910440875347089 0.5065994974499256
+1019 -0.8202544464721621 -0.5719988138472379 0.4814977173341509
+1020 -0.9432219450113053 -0.3321631563691106 0.4827257257651405
+1021 -0.2166153614427063 -0.976257028239513 0.6475891870252556
+1022 -0.21152987274136 -0.9773715327029041 0.1550133699861822
+1023 -0.2115289454756884 -0.9773717333880407 0.8452207110393758
+1024 -0.9780812180429956 -0.2082237520349928 0.155013369986183
+1025 -0.9780815157394789 -0.2082223536721352 0.8452207110393767
+1026 -0.3986913464201653 -0.9170851706846403 0.730188848666249
+1027 -0.3989530802903483 -0.9169713407336365 0.2704348625956347
+1028 -0.9167186514410657 -0.3995333704461671 0.7255415625883596
+1029 -0.9182504003837041 -0.3960002552968459 0.2704348625956443
+1030 -0.6327804799288838 -0.7743312367591608 0.7186242239054739
+1031 -0.6328833461051492 -0.7742471635225728 0.2659954095509822
+1032 -0.7841945174591245 -0.6205150753906394 0.7203380202464894
+1033 -0.7817366109778026 -0.6236087483806969 0.279346475678474
+1034 -0.572319390768213 -0.8200308012207234 0.7849661320661909
+1035 -0.5727671429070101 -0.8197181222872534 0.211724675585628
+1036 -0.720135925981221 -0.6938330116902549 0.7203701015797966
+1037 -0.7054797445941645 -0.7087300825895233 0.2713835936847093
+1038 -0.8330148511238042 -0.5532506283839055 0.2365021314533479
+1039 -0.8258706738934587 -0.563859583586875 0.7660887336121032
+1040 -0.3057568007834298 -0.9521096464035445 0.2801068001767859
+1041 -0.2832280172561533 -0.9590526003515908 0.7104110858525614
+1042 -0.95265871720235 -0.3040417217066984 0.2798106581209703
+1043 -0.9531028567603886 -0.302646566865025 0.730951968278685
+1044 -0.2070410233663932 -0.9783322618841703 0.5102464682932181
+1045 -0.3218214259938049 -0.9468003853882371 0.1051037793552513
+1046 -0.3208158936029014 -0.9471415746401231 0.8952277138523819
+1047 -0.968646965920989 -0.2484412514299149 0.4507211129046973
+1048 -0.2686179529073379 -0.9632467987882811 0.4583994794810094
+1049 -0.9474039984522935 -0.3200400970450523 0.8956647033164949
+1050 -0.9473828340409697 -0.3201027425132446 0.1045226755995171
+1051 -0.9953822544654065 -0.09599045523053115 0.1518565625972821
+1052 -0.1285656182407896 -0.9917010042378518 0.193268491832901
+1053 -0.9953899787149452 -0.09591032412551498 0.8484107219212023
+1054 -0.09551637762059594 -0.9954278585644667 0.8387307346163252
+1055 -0.8772722766587552 -0.4799930755812677 0.5200271789959322
+1056 -0.9924590213049603 -0.1225768780414963 0.3344928251825433
+1057 -0.06549346503961016 -0.99785299821021 0.3686037582349758
+1058 -0.9935478230246108 -0.1134139469512339 0.6850853379155327
+1059 -0.1838692567232527 -0.9829507090551584 0.7403139815082466
+1060 -0.2175827600863954 -0.9760418753891588 0.2494023512510187
+1061 -0.9817191343604409 -0.190335338890567 0.7613409421317954
+1062 -0.981186002949525 -0.1930648274956744 0.2449781568693677
+1063 -0.9891050942182561 -0.147211115719889 0.07136282521062355
+1064 -0.9891071043486392 -0.1471976091077919 0.9287207357133048
+1065 -0.1399474377886074 -0.9901589340385734 0.08763524409677081
+1066 -0.1454319865543031 -0.989368251606483 0.9274236977940166
+1067 -0.2372468274761939 -0.9714494031355834 0.9286929813193815
+1068 -0.9720514744769729 -0.2347678235345355 0.928692981319382
+1069 -0.2372468274761939 -0.9714494031355836 0.07130701868036859
+1070 -0.9720514744769729 -0.2347678235345355 0.07130701868036907
+1071 -0.9108648010292728 -0.4127048754811398 0.8287512276305901
+1072 -0.9108146219970852 -0.412815605756743 0.1715531066908904
+1073 -0.4138443273030781 -0.9103476658722549 0.8288225979501729
+1074 -0.414138962571399 -0.9102136670476255 0.1714606702132057
+1075 -0.5088378216738276 -0.8608623997098688 0.8552803917457172
+1076 -0.5089717658373505 -0.860783214044285 0.1453605815360826
+1077 -0.8489192030152799 -0.5285226454485201 0.8515789592584662
+1078 -0.8589896325834634 -0.5119929795555076 0.1498838347523728
+1079 -0.5953631289334155 -0.8034567472531505 0.9054190855904765
+1080 -0.5954877347345882 -0.8033643991244999 0.0947383726413541
+1081 -0.7812870480844855 -0.6241718901836503 0.6468292058396435
+1082 -0.7982797911612682 -0.6022867880200611 0.3888613754502612
+1083 -0.784306735190157 -0.6203732305115662 0.8782290054956053
+1084 -0.6297750327711233 -0.7767775795542315 0.6227108425139345
+1085 -0.6226093810472636 -0.7825327843815513 0.3901404025448285
+1086 -0.5409049391870451 -0.8410837335028298 0.5835939469904714
+1087 -0.8946400947812072 -0.4467875343044753 0.3550393821918137
+1088 -0.8890797741156077 -0.4577522859129598 0.6236300628665049
+1089 -0.4394943267950649 -0.8982453655404812 0.3455811173650706
+1090 -0.459532859825063 -0.8881607685216673 0.6444441107963509
+1091 -0.3533269402252418 -0.9354999055644357 0.3838063280620518
+1092 -0.9390550103979579 -0.343766908597223 0.3762575963868008
+1093 -0.3637129407581547 -0.9315110824488644 0.6500608739098623
+1094 -0.9872097674091955 -0.1594267077119825 0.5015720744903065
+1095 -0.139458560375835 -0.9902279080786904 0.520404853765381
+1096 -0.3393971747492104 -0.9406431617634041 0.2058962262494543
+1097 -0.3389676405106363 -0.9407980328883836 0.794300559631808
+1098 -0.9411480075189762 -0.337994715850797 0.2043807860672182
+1099 -0.9412172100861083 -0.3378019589015478 0.7960865110542177
+1100 -0.2375747021983868 -0.9713692711195613 0.3443106388821362
+1101 -0.9715907219979956 -0.2366674226153946 0.3507670320593466
+1102 -0.8775636708006064 -0.4794601168929118 0.2537092784272525
+1103 -0.8721581033889146 -0.4892241231716311 0.7493404207156225
+1104 -0.9723353873277737 -0.2335891576040041 0.6601723214871175
+1105 -0.1539570197148497 -0.9880775455805693 0.4160350555416725
+1106 -0.9857785482559194 -0.1680495575669629 0.4137323719488888
+1107 -0.4914292827692883 -0.8709174817609662 0.2617419401432236
+1108 -0.4794525205717909 -0.8775678210357059 0.7517433084229413
+1109 -0.274259523496986 -0.9616557147811302 0.2020887668327065
+1110 -0.2665807287928786 -0.9638125933169048 0.7999914937630218
+1111 -0.9630787224216064 -0.2692199368894629 0.1989553769690583
+1112 -0.9631477511428811 -0.2689728786855852 0.801701458053507
+1113 -0.1232872231673583 -0.9923710297079829 0.3024388953859542
+1114 -0.7519422640709673 -0.6592289674337952 0.08855713328539629
+1115 -0.7478616348141789 -0.6638546340676276 0.9361130185885662
+1116 -0.9965854551286184 -0.08256773356514305 0.2462655089296034
+1117 -0.9967872087266285 -0.08009532145498227 0.7587593124244638
+1118 -0.8134351006651028 -0.5816556859568672 0.07963255512519031
+1119 -0.8093170505702424 -0.5873720385379984 0.9327662573137641
+1120 -0.9626064662872925 -0.2709036564203072 0.5550280167600687
+1121 -0.5471308939261637 -0.8370470625428161 0.4227677696172704
+1122 -0.4503503152353654 -0.8928519438111826 0.451532616094026
+1123 -0.9151895559377878 -0.4030236676702685 0.4581328622645257
+1124 -0.4785913726112548 -0.8780377543489088 0.5560411503580756
+1125 -0.838302600323331 -0.5452052368522714 0.6765540585427813
+1126 -0.8445015624570917 -0.5355530888787133 0.3268783278459751
+1127 -0.7677771431805241 -0.6407169877641398 0.8032725700360669
+1128 -0.1371824012970861 -0.9905458034711798 0.6327129258777549
+1129 -0.5630147082473714 -0.8264468756654157 0.319564657021652
+1130 -0.4398595632993736 -0.8980665702352384 0.08090774732524031
+1131 -0.4396236329638134 -0.8981820869621584 0.9193131124339943
+1132 -0.8995751660071366 -0.4367659793335928 0.08136404926766995
+1133 -0.8994858129603296 -0.4369499654229247 0.9187925777178435
+1134 -0.3958932143723487 -0.9182965549395954 0.5642856417400383
+1135 -0.9207377427333233 -0.3901820204806273 0.5455350337682113
+1136 -0.0619957275022175 -0.9980764147957163 0.2279130430791431
+1137 -0.8611932274518922 -0.5082777045975883 0.4217394740137765
+1138 -0.6792852434376802 -0.7338743475880671 0.09279949762658779
+1139 -0.6830129615674796 -0.7304062529379254 0.9196958588270968
+1140 -0.06928262983301939 -0.9975970715691886 0.5613627352683926
+1141 -0.9976964354953632 -0.06783673488491912 0.5468889514127163
+1142 -0.06336646434507676 -0.9979903262038186 0.1431361298346825
+1143 -0.8316006837377629 -0.5553740206445431 0.5854546527251471
+1144 -0.2861774279087822 -0.9581766432947076 0.5764151123665553
+1145 -0.7332986089234808 -0.6799067216544399 0.8703264754542905
+1146 -0.8561746377837832 -0.5166865487080223 0.05951018826482166
+1147 -0.8559768953209038 -0.5170140758981195 0.9406275588580146
+1148 -0.9894849285952061 -0.1446360123998852 0.6008706330982989
+1149 -0.7139420995791559 -0.7002047403784886 0.6313158256035638
+1150 -0.6823817453866806 -0.7309960010581641 0.3445208680272688
+1151 -0.07306459807711095 -0.9973272103516628 0.455597259885667
+1152 -0.9974625912598599 -0.07119254902843161 0.4311088151075504
+1153 -0.6750025866501037 -0.7378153617373853 0.8209420210564629
+1154 -0.6522330979309737 -0.7580184601732105 0.18913565398189
+1155 -0.9976620806671825 -0.06834012583269218 0.9354262915268488
+1156 -0.9976607935376453 -0.06835891337518497 0.06464387756154406
+1157 -0.06466292582171237 -0.997907163028794 0.9336104384398454
+1158 -0.06036169427850549 -0.9981765704843149 0.06615427478625358
+1159 -0.08050749204288717 -0.9967540036162204 0.728536502347487
+1160 -0.7560095604621714 -0.6545605735833732 0.4631460067468154
+1161 -0.6981258195017612 -0.715975097433559 0.5381112769416089
+1162 -0.6872641032753659 -0.7264076351120679 0.4335380466697727
+1163 -0.7412649566510272 -0.6712125326907644 0.3587102283081879
+1164 -0.4992998720081436 -0.8664292457048364 0.3603898399304167
+1165 -0.9390941031175453 -0.3436601016845758 0.6401431609581579
+1166 -0.7978240288415852 -0.6028903872205806 0.1681898142258756
+1167 -0.5153752252525928 -0.8569646300728165 0.0642013403005354
+1168 -0.515276947133479 -0.8570237264818297 0.9360025179540374
+1169 -0.7692126345907152 -0.6389928972891724 0.5577257808651549
+1170 -0.9978661997635441 -0.06529201612343202 0.6265689844849409
+1171 -0.5542467547233438 -0.8323524102678153 0.6843470941158939
+1172 -0.7302971778319639 -0.6831295865724666 0.1815686947471554
+1173 -0.05747815417280498 -0.9983467643023074 0.6445224326983582
+1174 -0.1976228290554131 -0.9802781326930307 0.577473709465633
+1175 -0.5226247829821757 -0.8525628048494924 0.5045741076085684
+1176 -0.6753049993937252 -0.7375385805460219 0.6732552484006923
+1177 0.2897393311351879 0.07794379604700158 1
+1178 -0.08384762777884533 0.1029886532790118 1
+1179 -0.1868618493752617 -0.1697088149075699 1
+1180 -0.3776896737680859 -0.6345383402844322 1
+1181 -0.6855847602544329 -0.5402588614974924 1
+1182 -0.7251054130289099 -0.1282865082520786 1
+1183 0.7428512514317812 0.3874304260244591 1
+1184 -0.6561970558251797 0.3113427097602823 1
+1185 -0.4579004718465931 0.5774211047401429 1
+1186 0.03710089829920105 -0.5139659211104587 1
+1187 0.3982042818340527 -0.5620618205069675 1
+1188 -0.07015072609332348 0.4324483737751407 1
+1189 -0.1642668193499533 -0.680985234222624 1
+1190 0.5381935055408629 0.575935351360501 0.9999999999999998
+1191 0.302844898437953 0.4853636979979016 1
+1192 -0.3870524063999865 0.1536406679776654 1
+1193 0.5290757727936075 0.2875696435572835 1
+1194 0.6172635449615472 0.008523403073678604 1
+1195 0.5868486091732812 -0.192719618002612 1
+1196 -0.4968691152746735 -0.4560775863354037 1
+1197 -0.5156546559655826 -0.202537679800142 1
+1198 -0.2118120223383398 0.8961321817628053 0.9999999999999998
+1199 -0.6354686672731695 0.02085098977047031 1
+1200 -0.7271620789297262 0.5375461616458593 1
+1201 0.7144236417541402 0.6052845283650242 1
+1202 -0.5877009795807298 -0.6706229383561548 1
+1203 0.9012954200594055 0.1579899308036823 1
+1204 0.7835971073404365 -0.1389579662997908 1
+1205 -0.8903960356561698 -0.2802350557305419 1
+1206 -0.6699522790610153 -0.3373685246003992 0.9999999999999998
+1207 -0.7903776319630841 0.4625386637351386 1
+1208 -0.5486218084842825 -0.7502746557815863 1
+1209 0.1403380267529757 -0.1421586656854136 1
+1210 0.7988411761436804 0.4612314396471645 1
+1211 0.8930783280602245 -0.2766666411797676 1
+1212 0.2457072906861 -0.3951928296007075 1
+1213 0.3388143371273323 -0.1595460037569817 1
+1214 0.1098433660505816 0.2596576136565499 1
+1215 -0.1541635214137582 0.673924607512236 0.9999999999999998
+1216 -0.282125784303324 0.5161272698207664 1
+1217 -0.4199275623793364 0.3710827118547174 0.9999999999999998
+1218 0.08249990666715543 0.08182904727205895 1
+1219 0.2821360672299542 0.311064745098424 1
+1220 0.1196722830985447 -0.7705720555181 1
+1221 0.4652421224051141 -0.3399814851821571 1
+1222 -0.09122426231872535 -0.337111468793524 1
+1223 0.02195911386464319 0.6368804143367492 1
+1224 0.3105060326434622 -0.8632557435491723 1
+1225 0.2250816214210191 -0.6142762534206043 1
+1226 0.07615504953458829 -0.3006291037816297 1
+1227 -0.2453486379365794 0.3056912420423805 1
+1228 -0.2858417332118752 -0.01986971418896494 1
+1229 0.4689185337476446 -0.03810069354321177 1
+1230 -0.4400849631740479 -0.04214328356705449 1
+1231 -0.3249826736511917 0.719515267308632 0.9999999999999998
+1232 0.1377581307416433 0.462247708693028 1
+1233 -0.5605309399850325 0.06526447865590657 1
+1234 0.1997432178431347 0.64080914595172 1
+1235 -0.5689299548284804 0.2583476726922759 1
+1236 -0.3667012846014245 -0.3245972273005387 1
+1237 0.5199863078182339 0.04517299155988724 1
+1238 0.461120646449517 0.4114225426169505 1
+1239 0.4586534271317928 0.2229317590466199 1
+1240 -0.3345014255880162 -0.1765559411365862 1
+1241 0.3285410620669998 0.6513327343506894 1
+1242 -0.1414030460391212 -0.4800475532438272 1
+1243 -0.2621101598910728 -0.3223378473339158 1
+1244 0.6752206395617439 0.2127645466824821 1
+1245 -0.07338012151484075 0.2022177440491255 1
+1246 0.6405014791262231 0.442627436186767 1
+1247 -0.2170507143118224 0.1240131335004222 1
+1248 -0.6148045003852537 -0.08395851737442062 1
+1249 0.24255820862573 0.8224895687694701 1
+1250 -0.3235738241790452 -0.862957772908878 1
+1251 0.6170659652700686 0.1128373066619179 1
+1252 -0.4755431102153302 0.7819578469865797 1
+1253 -0.1082153240590707 0.00391918990745016 1
+1254 -0.484855615470777 -0.3662275957768236 1
+1255 -0.1769447713438851 -0.5677032149004312 1
+1256 -0.06965919152208136 -0.7690877482787777 1
+1257 -0.6212198110357178 0.5590264097909334 0.9999999999999996
+1258 -0.03223278583278621 -0.1808566225696097 1
+1259 0.6104363692842232 -0.08748311138230858 1
+1260 0.7099832888995116 -0.05234034366779375 1
+1261 -0.5666300583569353 -0.2897501642032262 1
+1262 -0.407334012781258 -0.8341015350385896 1
+1263 0.8190084090227093 0.2957971557576304 1
+1264 0.7260163732660905 0.5094716074731855 1
+1265 0.5644652580487282 0.7441132630720504 1
+1266 -0.4305940379326485 -0.5462892179184861 1
+1267 -0.3075534950041687 -0.5322266727195423 1
+1268 -0.404225787723734 -0.4353362678197478 1
+1269 0.7375823634558023 0.1209551695033318 1
+1270 -0.2629399692222569 -0.768293094783319 1
+1271 -0.8221852927314433 -0.3941129697927344 1
+1272 0.6782173654264352 -0.165752945592774 1
+1273 -0.2098770146392914 -0.8945044624463515 1
+1274 -0.704419997856483 -0.2400195018817135 1
+1275 0.6351670938812566 0.3195795082868028 1
+1276 0.6338895210384274 0.5496522571583957 1
+1277 -0.6201034653477484 -0.1912058887269904 1
+1278 -0.5750282162443874 -0.3959847189247601 1
+1279 0.7681325376637608 -0.2456807735640208 1
+1280 -0.7182015191654888 0.4181342432029016 1
+1281 -0.7688070982144932 -0.3127033038543355 1
+1282 -0.4821350327708168 -0.679568484097359 1
+1283 -0.7838384999768635 -0.03301137092827572 1
+1284 0.7921478869289384 0.03324684365194161 1
+1285 -0.7310352974199794 -0.3989268711648745 1
+1286 -0.9364094631988048 0.1206615329306272 0.9999999999999996
+1287 -0.5837377553492353 -0.5008722891293291 1
+1288 -0.6996360226301102 -0.02830626441578882 1
+1289 -0.6548114842992234 0.6522253941759271 1
+1290 0.8507591056727636 0.3732318446144911 1
+1291 0.7644032612152132 -0.5451765710572032 1
+1292 -0.5166454208427602 -0.5750577717229809 1
+1293 -0.6596342913134017 -0.4473752865516082 1
+1294 0.3169021764471723 0.8585867598171324 1
+1295 -0.7691604616153226 -0.4851790803747096 1
+1296 0.1672884818060241 -0.251375627271068 1
+1297 0.1954843407249223 0.1748987168222638 1
+1298 0.3785172222944508 -0.6690319645647382 1
+1299 -0.1188870894884175 0.5605742511636167 1
+1300 0.08388103732213939 -0.6734407695917304 1
+1301 0.1409528296701937 -0.4588520743904128 1
+1302 0.3371340753769553 -0.4757053704756283 1
+1303 0.02382873724393619 0.3430274052803972 1
+1304 0.2812552106311015 -0.2740690957705252 1
+1305 0.3286519171212273 -0.0386944757210344 1
+1306 0.2837341302554344 0.2087007472111435 1
+1307 0.4912104695447582 -0.6993004570916344 1
+1308 -0.1864394136454839 0.482377305938041 1
+1309 0.2341561990124306 -0.5160814675504103 1
+1310 -0.02017224663535766 0.5472123314886239 1
+1311 -0.01581198911111908 0.724808931790039 1
+1312 0.1805648838067565 0.06571621799379929 1
+1313 0.3643808482891061 -0.3613181010411468 1
+1314 0.2407268774318451 -0.1864760587950334 1
+1315 0.4446537839890055 -0.4505403239500324 1
+1316 0.05687573149989808 -0.4047654231383883 1
+1317 0.4022361939928636 -0.2613929206768327 1
+1318 -0.4032582009070645 0.2681898085210601 1
+1319 -0.1678167486058268 0.3705648746830997 1
+1320 0.5458938820334904 -0.4861448607661641 1
+1321 0.005061261764652936 0.1370518894791942 1
+1322 0.04589619399172706 0.4510496437307415 1
+1323 -0.09828910880181183 0.7580938297798721 1
+1324 -0.2614456778703278 0.4107235755675123 1
+1325 0.2070590441784775 0.3836564668400582 1
+1326 -0.1859083844054351 0.7893855597746479 1
+1327 -0.4402628373985661 0.4732652653828584 1
+1328 -0.3896208910236426 0.64902770674268 1
+1329 -0.07264310393822274 0.3086832326887924 1
+1330 -0.3058994523754138 0.6213267695937259 1
+1331 0.13742733549762 -0.5795403380755969 1
+1332 0.07516858629885204 0.5482464902311093 1
+1333 0.120118317598501 0.3648936634927235 1
+1334 0.1498502592995082 -0.3546699388268387 1
+1335 -0.4165467373717386 0.04577414876098618 1
+1336 -0.3161722497114678 0.2371489081253449 1
+1337 0.4064315926580289 0.02862285067378889 1
+1338 0.454043234652407 -0.1860270014262071 1
+1339 0.3082516507568707 -0.5970328724503663 1
+1340 -0.3531080193750911 0.4434544641331968 1
+1341 -0.3334771964398274 0.05666144452878905 1
+1342 0.3804909244459719 0.1553879405513502 1
+1343 -0.1549411873289434 0.2622264005089452 1
+1344 -0.4643690881194533 0.6837980166882356 1
+1345 -0.2149424194377239 0.5935680243821336 1
+1346 -0.2289205139897001 0.2060842156019647 1
+1347 -0.372254849454193 0.5487533569626941 1
+1348 0.2665642959148265 -0.6882996565167228 1
+1349 0.09704099533564151 0.1555804140908409 1
+1350 0.4721632260799813 0.7821807992834833 1
+1351 0.01500602965081807 0.2350186801942024 1
+1352 -0.04709472592971037 -0.431149731957735 1
+1353 0.3646365471567796 0.2562161715266956 1
+1354 -0.4775499809493421 0.2089498665234371 1
+1355 -0.4826808193711798 0.107171078571877 1
+1356 -0.1367565119727853 -0.2465475913831901 1
+1357 0.219705380708883 -0.7939756064398715 1
+1358 0.1741880528554439 -0.68370111678044 1
+1359 -0.2639570152518794 0.8016305911706761 1
+1360 -0.5492768104608923 0.5015231546541296 1
+1361 0.2841573755711653 0.4078358956460787 1
+1362 -0.2888496262826039 0.1384648416345654 1
+1363 -0.4900931113036227 0.3066440754051976 1
+1364 -0.5764870991130485 0.3352470531688554 1
+1365 -0.2371742926469025 -0.09595580732289435 1
+1366 0.08496956162472277 -0.2174017510071562 1
+1367 0.5628046274289193 -0.6008527299011868 1
+1368 -0.5649974091796021 0.1624713784566736 1
+1369 -0.5198091270833947 0.3983581575747551 1
+1370 -0.06086724746033154 0.6613923220320002 0.9999999999999999
+1371 0.2645972460202924 0.5565708854344379 1
+1372 0.2381737088852517 -0.08898704803098301 1
+1373 0.1654619266985638 0.5569655326899126 1
+1374 -0.3339105929942835 0.3403405214056002 1
+1375 -0.2414151790302403 0.7042403310275425 0.9999999999999998
+1376 0.5236363325054458 -0.3957323891803582 1
+1377 0.2001718999604586 0.2846353921693596 1
+1378 -0.2973537287270382 -0.2497305945850173 1
+1379 0.1346020442325961 -0.01195199770336261 1
+1380 0.0533752900601189 -0.06945837436083732 1
+1381 -0.0339018885494541 -0.9355188825904608 1
+1382 0.218710189712175 -0.9067403055351748 1
+1383 0.4920179670022333 0.1331909570851415 1
+1384 -0.2075560019448862 -0.3988192925514371 1
+1385 -0.3878655808964822 -0.1091239464544706 1
+1386 0.3698105745245859 0.4401249237072208 1
+1387 0.01485167081678732 -0.2363254532006812 1
+1388 0.5245890723736372 -0.2722172014891703 1
+1389 0.4492691061472249 0.310645211289362 1
+1390 0.603520269179519 -0.6975687385325237 1
+1391 -0.06168037400390453 -0.2461027596535805 1
+1392 0.1114047498665568 0.6326724054365875 1
+1393 0.03608912874801523 -0.159321579326335 1
+1394 -0.4774532850798383 -0.782904803335564 1
+1395 0.5626003870671774 -0.340646582270633 1
+1396 -0.4690530332319679 -0.1242262632900833 1
+1397 -0.312194007889803 -0.1004963253001233 1
+1398 -0.9222335095548163 0.1974113058283598 1
+1399 -0.2522791207951212 0.0542548700526142 1
+1400 -0.4030963138487751 0.743954200548912 1
+1401 -0.1691607464166971 0.06566043580772857 1
+1402 0.1193460939319357 -0.9499352453402704 1
+1403 -0.1538324155783985 0.1577867722421939 1
+1404 -0.2171271198769763 -0.2493674977489563 1
+1405 0.4026013267157277 0.8394914425016136 1
+1406 0.1503067246066855 0.6996162570874258 1
+1407 -0.5460228607739707 -0.1312177430277169 1
+1408 0.2409284996873737 0.9072223934569358 1
+1409 0.005661507366884866 0.02042799413484428 1
+1410 -0.5239619876185739 -0.06305110756054305 1
+1411 0.2237178801649813 0.4799932248016413 1
+1412 -0.5000825455132965 0.0175303156327149 1
+1413 0.4136295321030357 -0.08808116651059752 1
+1414 -0.6568796916635082 0.4809164288838965 1
+1415 0.6226506947183573 -0.4217881961711301 1
+1416 -0.2975228485856651 -0.4166182548813794 1
+1417 -0.08702053301887624 -0.6236759969406293 1
+1418 0.3672107946325331 0.3537064886174076 1
+1419 -0.4247840468868734 -0.189631409609065 1
+1420 0.5130950282881888 -0.09964503783656026 1
+1421 -0.5720638123631638 -0.01063363570216563 1
+1422 -0.4548362322806574 -0.2708151432727706 1
+1423 -0.2977083739020105 0.8851139292215636 1
+1424 -0.5556760386833099 0.7271666005781979 0.9999999999999998
+1425 -0.3632427306968263 -0.02825281686578007 1
+1426 -0.2031153266954588 -0.01789148767040871 1
+1427 0.2404545597202565 0.7225506513469681 1
+1428 0.06259778230631446 0.7561031659657698 1
+1429 -0.4154245460646798 0.8312208130512116 1
+1430 -0.5523446397879744 0.6194761042735737 1
+1431 -0.3485062501944445 0.8238276167462517 1
+1432 0.4626583028483838 0.5129888404091927 1
+1433 -0.1469700882254162 -0.09424166898111733 1
+1434 -0.1683185424939579 -0.3261583556390828 1
+1435 -0.2645560887465901 -0.1739453204802458 1
+1436 0.6747521949736207 -0.6218342179362119 1
+1437 -0.6205715956630742 0.4075292462118147 1
+1438 -0.3762799031558483 -0.2425951741032604 0.9999999999999998
+1439 -0.1313082417458413 -0.3953633459711371 1
+1440 0.5508195279160139 -0.0303167745486399 1
+1441 0.5707907370774351 0.2177387875914229 1
+1442 0.2348914284161124 0.000810270545667291 1
+1443 -0.6556466636262697 0.1164447275998658 1
+1444 0.5488622412837595 0.3797914630148991 1
+1445 -0.09903111014880184 -0.1730941636383408 1
+1446 -0.45092559183586 -0.614827869506994 1
+1447 -0.8879760872878617 0.3024143509600128 1
+1448 0.3580121941624591 0.54512833636333 1
+1449 -0.008696867479190379 -0.3269221880167234 1
+1450 0.6184028234214376 0.6602226578426881 1
+1451 0.4382510340574169 0.6169634532606038 1
+1452 0.6462392254665531 -0.5262798203822959 1
+1453 0.02815411186573752 -0.7305665403968723 1
+1454 0.5492611626992877 0.4800872944328648 1
+1455 -0.2325330667229669 -0.4797091325699736 1
+1456 0.1578506074212944 0.7879376492642725 1
+1457 -0.04171736994433251 -0.09345910847504396 1
+1458 0.6789449829688424 -0.2472656711504801 1
+1459 0.8118140157497508 -0.3603054921251926 1
+1460 -0.8195508810477371 0.2486091381283811 1
+1461 0.629531227992938 -0.3121794568006635 1
+1462 0.2113090107686239 -0.319370994260365 1
+1463 -0.616963375720216 -0.5859684005353663 1
+1464 0.7443859852773173 -0.4513871403505811 1
+1465 0.6996033030969461 -0.376179666856836 1
+1466 -0.7542473451401366 -0.5715109612897482 1
+1467 0.51249892416245 0.6856571258169819 1
+1468 -0.7244212108470494 0.2143263503440802 1
+1469 0.01280131869345816 -0.6220069425344454 1
+1470 0.3511130215621625 0.7721776760014751 1
+1471 0.4624843194036344 -0.612412255398776 1
+1472 -0.3809471762282604 -0.7500086989415082 1
+1473 0.4358922146983504 -0.8138293260753886 1
+1474 0.1371748275373223 -0.8658088596776375 1
+1475 0.4838415568862029 -0.5437004995095347 1
+1476 -0.8187064335658744 0.3766999013648455 1
+1477 -0.7486017683818011 0.3192131869745889 1
+1478 -0.6822611688035686 -0.6433859986600988 1
+1479 0.4215616146121645 0.7042882666300073 1
+1480 -0.002643538877739299 0.962897237672404 1
+1481 0.713335751873068 -0.3107053401424084 1
+1482 -0.2695571722803648 -0.6449498108693597 1
+1483 -0.06378191232584748 -0.6900728545102359 1
+1484 0.8808803952935624 -0.1817164928460623 1
+1485 0.9319262184192126 -0.1092364066217543 1
+1486 -0.1616166624489407 -0.8022910306398039 1
+1487 -0.7760881100559551 0.09867380118735108 1
+1488 0.0796353513669978 0.8881827680804089 1
+1489 -0.06983451008702352 -0.5460190599985321 1
+1490 -0.139798571399375 0.9385113740376905 1
+1491 -0.1201919428480979 0.8544918313022043 1
+1492 -0.9534467231936609 -0.02680334131782712 1
+1493 -0.8200661569510446 -0.1976842463915288 1
+1494 0.8066711810146894 0.2079343221437162 1
+1495 0.1694979088358587 0.9148117961382987 0.9999999999999998
+1496 -0.07911451000517439 0.9306450805454027 1
+1497 -0.3239668772039842 -0.696695726677667 1
+1498 0.550548657687973 -0.7612420741252157 1
+1499 -0.0343006262048253 0.8310137101255415 1
+1500 -0.641562779938361 -0.2649432725960296 1
+1501 0.9643997686992148 0.001806132474239205 1
+1502 -0.9168810631441754 -0.2115661737094375 1
+1503 0.731096244703401 0.2830117313784486 1
+1504 -0.8590498436837828 0.144699298946951 1
+1505 0.8913965958830555 0.3136293969391959 1
+1506 0.06802678154243572 -0.950226917123985 1
+1507 0.864460689126844 -0.0311852262407035 1
+1508 -0.1310705240542894 -0.9406080685833257 1
+1509 -0.7092748416253511 0.03317442791744341 1
+1510 0.4007131213395561 -0.7381851271345401 1
+1511 0.336247066790694 -0.7650876958557478 1
+1512 0.6912308379501809 0.04191735055348339 1
+1513 -0.9663667576267356 0.04223423629661429 1
+1514 0.9556302559079273 0.1034777970560016 1
+1515 -0.8935388521365365 -0.09233037823453862 1
+1516 0.01971094461541648 -0.847703385895251 1
+1517 -0.6357787202496983 0.2130337210736508 1
+1518 -0.7976849700903755 0.1817860122865861 1
+1519 -0.09951235088801881 -0.8676479992679118 1
+1520 0.8068574654874888 -0.06516561265809309 1
+1521 0.8596955490010718 -0.1071134738663725 1
+1522 -0.8914599274203824 0.0364317607117798 1
+1523 -0.8099435282043598 -0.1130116877100516 1
+1524 0.8967666622946819 0.2421844460630574 1
+1525 0.8916348678382225 0.06337007545270483 1
+1526 0.8307412926206452 0.1169060740987489 1
+1527 -0.2589559423442405 0.1014011376387137 0.5008275501990492
+1528 0.4260253875760067 -0.2675148989354469 0.4949763661652533
+1529 -0.1705755425031569 -0.3718642904006512 0.5203358390841492
+1530 0.2353773201402325 0.4283683136154832 0.5006023868675681
+1531 -0.5806281543198079 -0.1291361781280228 0.4053791149571385
+1532 -0.1875376048635322 0.5305509208659949 0.4380856702015229
+1533 0.1436401383132612 0.02983683735221962 0.4163431802764236
+1534 0.08719601315237588 -0.6145804871114879 0.3777941016866144
+1535 0.5537254701234143 0.1417095809938009 0.4752856848849247
+1536 -0.5402282201700361 0.2999893049641546 0.6342279365074988
+1537 -0.3807545332711346 -0.1583280142720361 0.6704589199710429
+1538 0.1174496543455132 -0.2257175394813525 0.652599659839441
+1539 -0.4601017844752675 -0.4825993925857559 0.6465560865363646
+1540 -0.4226913196091631 0.3285565460807247 0.328481047691513
+1541 0.01337237294514992 0.2269533930291818 0.6604064414751063
+1542 0.05143652755276452 0.675759261505764 0.6040471848939094
+1543 -0.4538470686680693 -0.4206198161015839 0.3245479443048969
+1544 -0.06946798516690324 -0.6659817172840372 0.6675432027140461
+1545 -0.05140886468516185 0.2654018100020156 0.3191337722903125
+1546 0.4680108866211538 -0.5018477711945851 0.302622171090444
+1547 -0.6830356291220697 0.0170818561082567 0.6696045510859933
+1548 0.2752674564400409 -0.5336895095204137 0.6568224277042116
+1549 -0.6469860743215284 -0.2687665813040876 0.7092483824224135
+1550 0.08332268535097488 -0.2826957349725049 0.3293899778455987
+1551 0.4988352713847868 0.4602127453120683 0.3176843164322835
+1552 -0.1866185979810028 -0.1302998670308438 0.3066881023555902
+1553 -0.381282833100056 0.5683273091130125 0.6847852776402438
+1554 0.6791441961391212 -0.07253126903419937 0.6795231062384602
+1555 0.3726858485634674 0.5973162884347125 0.705789415113972
+1556 0.2511842451543379 0.04258306582710784 0.6998466818828
+1557 -0.2258006558766422 -0.6448642201954504 0.3191809225903157
+1558 0.2008321860952088 0.6633990281468599 0.3028032062856338
+1559 0.6314960483048577 -0.1154888824496868 0.3107030760373702
+1560 -0.1102322072606163 -0.04623230781405174 0.7089500053457785
+1561 -0.2617516734569045 0.2991934581965778 0.7115310829252965
+1562 -0.6756771078749055 0.1640815046191071 0.3926593672477749
+1563 -0.4172588941854733 0.05548593852492328 0.2770563866131241
+1564 0.3116717255590914 0.2359602710150045 0.2930321499032784
+1565 0.4241088360120989 0.2992497088192009 0.6987107360877789
+1566 0.5519635394469948 -0.4546788710221602 0.6744888605889192
+1567 -0.4040808275019367 0.6017327508021159 0.2782979644816344
+1568 -0.4106345382460115 0.09237991156999711 0.7054898762382981
+1569 0.3447587959500348 -0.1092208981863725 0.2768261271133902
+1570 -0.1810745175962372 -0.2803592118401619 0.7555680026617477
+1571 0.5627876481746205 0.4797768065311441 0.5703312583585344
+1572 0.1191243697774754 0.4570729942861314 0.7363196363774794
+1573 -0.5251327598370729 0.5056507549817203 0.4824467312492489
+1574 -0.1286790327474148 0.5198572171143837 0.7026970683736751
+1575 -0.6398288960081671 -0.3967540971577673 0.4925587275713551
+1576 -0.3158615333060192 -0.6732193285864307 0.7433157493396968
+1577 -0.2023506521595368 -0.3873094034248116 0.2612679282314508
+1578 -0.0687376517845559 0.7215374361819805 0.2763498550938385
+1579 0.01824255490609927 -0.440363717266947 0.7497954872440789
+1580 0.6891088950928312 0.2064351297487015 0.713039378832369
+1581 0.4045817335767466 0.6382285109235861 0.4629328370519065
+1582 0.6816131427403038 0.2655360308309181 0.2707927959500338
+1583 -0.6757003751594159 -0.3125451459208037 0.2522505307556644
+1584 -0.3544898127451639 -0.2360470724149217 0.4437195439540642
+1585 0.1410376695733489 0.4205281204504905 0.266211275439605
+1586 -0.03083125561902936 -0.1204645128691049 0.4922179010327469
+1587 -0.4287597350648392 -0.626311753171657 0.4524736893744096
+1588 -0.2198434914216949 0.4114801586978838 0.2336452804190642
+1589 0.352138780294117 -0.2986374204326763 0.7449824206894993
+1590 -0.02320538643891737 0.03713524447086428 0.2390967852865058
+1591 0.2305569247087205 -0.4627813678204056 0.2449914497399334
+1592 -0.6547970724688391 0.3932924335749481 0.3124997021946133
+1593 0.6622337132567835 -0.3550159850145451 0.2470131835770819
+1594 0.3946910823296325 -0.3169546846548853 0.2134005676586351
+1595 -0.2648913604611006 0.3256789632015641 0.488420416235517
+1596 -0.766306974939312 0.01532147170983561 0.232735949220602
+1597 0.0004482854381711032 0.4033874809199434 0.5037864798213936
+1598 -0.4791850553277257 0.0520016021376572 0.4941704203760687
+1599 0.6876680956227184 -0.2740715556386676 0.5119063505015955
+1600 0.2726162072820609 -0.7061198762048421 0.2427853175806301
+1601 0.08922049132882226 -0.4240143345152219 0.522108945358141
+1602 -0.2381148644052758 0.1822929268538933 0.2219689275742563
+1603 -0.03489456912630613 -0.7602295547384225 0.2321780626169265
+1604 -0.190055574408782 0.729987863325568 0.5857734242773267
+1605 -0.4307664996986479 -0.1746236024177282 0.2297595729768034
+1606 -0.4319191858598856 -0.6240779729770056 0.2248960506424261
+1607 -0.7299146963872406 0.2320188904839818 0.7620827942489179
+1608 0.2727197893259683 0.1964487986842025 0.5223234883300363
+1609 -0.5456216021846346 -0.0936944880617824 0.7897867378700048
+1610 0.7602564222107944 0.01527642800310954 0.4688273503413224
+1611 -0.04349054378566442 0.1198258182109307 0.4801804719701262
+1612 0.4523614981428704 -0.07535601769517453 0.762101856462896
+1613 0.3800482340337037 -0.02769984424784958 0.5044757956565701
+1614 -0.08510946491029409 -0.7656525256751778 0.4586210740272213
+1615 0.3700216317523182 -0.6603338878519337 0.4660258229555145
+1616 -0.2497281969936825 -0.4745781425176533 0.6924067246061426
+1617 -0.7759354027796367 -0.02753228168269914 0.4658721502388175
+1618 -0.593597720659979 0.5093639575186479 0.6919815392364225
+1619 0.4970345771946372 0.08151034851000515 0.2432114169773462
+1620 -0.2210703269572001 0.1104862718013563 0.7915190339829767
+1621 0.7054469243192961 0.3145812322674481 0.495123012643376
+1622 0.2010659946870489 0.7416634754570237 0.7706870508139104
+1623 -0.4542736011264856 -0.3219034470776267 0.7903918873621232
+1624 0.1567762090683479 -0.7327768430814247 0.7541576101985272
+1625 -0.2313157756649291 -0.1000630652750272 0.5395873159050592
+1626 0.5695934960444959 0.5341040479718946 0.7848607997192849
+1627 -0.06768551643339803 0.7150988443953437 0.7856674573001077
+1628 0.6816571178300938 -0.2868369036372647 0.7705522239202488
+1629 0.4167336438379647 0.6538249533767083 0.2269590473416049
+1630 -0.3626304303617218 0.6474980674175507 0.4849898485697547
+1631 -0.05360304158787333 -0.5419917361572266 0.2136311153152262
+1632 -0.6145498839641679 -0.462499139238593 0.7921600920511679
+1633 -0.2761092009709606 -0.07468097774397484 0.8109852491713162
+1634 0.1188158982336489 0.1937938308847273 0.2128472581500006
+1635 0.2183547790767074 -0.1720397547161504 0.4640536959456131
+1636 -0.005330086893333214 -0.2057385181695093 0.8059613895401644
+1637 -0.2835535837222516 0.7317644963580441 0.7878325170777516
+1638 0.2071337666091234 0.2517624357257014 0.775682358235934
+1639 -0.4333832390711411 0.3932574238522109 0.790537281786916
+1640 -0.2293225636455908 -0.6167702775467009 0.5323639583282638
+1641 0.4291779744659044 0.3376585274916576 0.4799818520080394
+1642 0.3020379097817625 0.4445420687342184 0.8075801638550748
+1643 0.7688980632143222 0.05526280314887054 0.2431657619555672
+1644 -0.5597161367712218 0.2057526448825882 0.2150914223696431
+1645 -0.488961961943559 -0.2977221716797162 0.5774937204163904
+1646 -0.7816515980134675 -0.1265553466799168 0.7903511618404185
+1647 0.2994858228329721 -0.4451425431809571 0.4549920774894509
+1648 0.2266390200905402 0.7556225883735477 0.5038299712202728
+1649 0.3303057271740225 0.4647721484928029 0.2010561754329001
+1650 0.009582813567835614 0.5924197894640157 0.4186721605617141
+1651 0.05714713569837214 0.06102757064435255 0.7884295426888065
+1652 -0.7766155642268409 0.1713843688970682 0.5714369855991579
+1653 -0.7047485659070423 0.3630796360980311 0.5163183478445648
+1654 0.4457606368227131 -0.6308074050186382 0.7732185815932774
+1655 -0.2294862134218622 0.6017737974236366 0.1907866263109543
+1656 -0.3481677436040566 -0.4502801476719888 0.4879213779965706
+1657 0.1374753580534533 -0.09677366277510138 0.2496318675510712
+1658 -0.6087936084826955 -0.5088939702818638 0.2107434874342705
+1659 -0.03998074302873958 0.5194483132999294 0.2275911681255203
+1660 -0.7198563384043042 -0.21305472546913 0.5276744835651811
+1661 -0.5026835456322463 -0.6297698251047834 0.8056464701193697
+1662 0.03596612493956298 0.7956733926269637 0.4374840947831541
+1663 -0.5331968545515241 0.2081435732354459 0.8097489253398171
+1664 0.1250096019883979 -0.7687143888939496 0.5355710715554819
+1665 0.4888042169273879 0.2895868543105636 0.2031783051930317
+1666 -0.5555721528132005 -0.1165747459018584 0.5973708167613281
+1667 0.6182491665174048 -0.4792823675237493 0.4642435482671396
+1668 -0.5048588724963391 0.4515433094269067 0.1954265108443692
+1669 0.07056401079108149 0.01097373440364856 0.598340878617692
+1670 -0.5834436649250119 -0.05241381462269533 0.1945437571972099
+1671 -0.4010641739345974 0.2127281578604783 0.5465108800821227
+1672 0.1720449698641732 -0.3221608192654578 0.8108529442669438
+1673 -0.09165857505871219 -0.5258026483004975 0.4141784775371777
+1674 0.09737632495338681 0.7959636576555584 0.1977806089945729
+1675 0.1280958139937026 0.2794630923624374 0.4093791825543732
+1676 0.271514811228705 0.06201672310582214 0.1979840362944283
+1677 -0.7603449043222508 0.244301808520086 0.2206812128752121
+1678 0.1661269854651449 -0.1048167480879268 0.802950296991369
+1679 -0.08182701182079787 0.3448025602198144 0.7984558590153326
+1680 -0.2685991239613601 0.7505546500293951 0.3307451884320752
+1681 -0.302096708702542 -0.7562153281562015 0.1866907582076309
+1682 -0.1782063879563374 0.05231791499391089 0.3406836633955877
+1683 -0.1516623162870995 0.2214481180249445 0.5848266911162344
+1684 -0.3235340022610285 -0.03292807203833541 0.4014844016557412
+1685 0.6939233370705795 0.404673606396999 0.6994417127237379
+1686 -0.4899942053532235 -0.3367277168034402 0.1719345679406837
+1687 0.4572943943111029 -0.6690032294359837 0.1900086618457621
+1688 -0.2142305976404983 -0.7852161999360561 0.6242593814813298
+1689 -0.383737867488972 0.3972273977067129 0.6117358644043633
+1690 0.6599499513377362 0.4515160499760618 0.198013389209425
+1691 -0.06188755831947756 -0.2555161861588499 0.61557561841536
+1692 0.5074862955343781 0.1081305478803053 0.6769897344590908
+1693 0.2082344050130905 0.5728465407080663 0.6178955385500926
+1694 0.1223190953255313 -0.6062599255580166 0.1850280464598402
+1695 -0.03147561592681211 -0.1891690785763942 0.194502032811733
+1696 0.8006742496147707 0.04108176705758548 0.796789046335544
+1697 -0.2662338642110071 -0.009751294844192892 0.1873574152189428
+1698 -0.3134597657396519 -0.3199437715449241 0.620498773541549
+1699 -0.3585037938057019 -0.46412152367399 0.174407060616465
+1700 -0.5843036167992253 0.5696022519271557 0.3168852181725199
+1701 -0.3362039508244464 0.1817032758162619 0.3664077157693337
+1702 -0.357361919873882 0.4680807744042367 0.4243759524994118
+1703 0.5789501638129865 -0.07106008397612242 0.5023063289692703
+1704 -0.5447896080993275 0.2757868369704695 0.4534129673285625
+1705 -0.1235248945910543 -0.5538322305383238 0.81488801420488
+1706 -0.2585888735573415 0.4521891349374837 0.8181702839218711
+1707 -0.157933423090554 -0.7653584566729932 0.8092206087169511
+1708 -0.3858226116910095 -0.4896525626071203 0.8132284251429015
+1709 -0.09063093811355534 -0.2645850447954304 0.3916391354430453
+1710 -0.4610362944921692 -0.6663204537029145 0.629665972379491
+1711 -0.5798986685045233 -0.5643718539202384 0.5349811137768995
+1712 0.2946244229539283 -0.1406506604828218 0.6427223818970162
+1713 0.5751249431725731 0.5873157629465194 0.4237058295718075
+1714 0.5412922309891489 -0.2136737467618647 0.6488575664132837
+1715 -0.7847304445884203 -0.1814430004993352 0.3466340719942225
+1716 0.4998543000258899 -0.1634703608007155 0.1850498610548541
+1717 -0.2645780562350042 0.023348826369604 0.651956202206692
+1718 0.2759879859474652 0.7731625368086883 0.1801851170560789
+1719 -0.3346928779397363 -0.2226696225766985 0.8441054105325125
+1720 -0.2635683777126927 -0.2360436708653244 0.179113697815526
+1721 -0.03088484388925635 -0.8280174301157478 0.6131355729312347
+1722 0.2120215662628065 -0.262864550944664 0.1880375902455657
+1723 -0.800687836993329 -0.1776282045165636 0.1697300538772253
+1724 0.8050900413010056 -0.1392414235696276 0.5609494772538349
+1725 -0.5214639813600935 0.6471153890092247 0.1640165117203445
+1726 -0.0346565928027231 0.8282096980111014 0.5946324896835172
+1727 -0.3600747688400361 0.2096293573108863 0.8231760187722746
+1728 -0.0612707829417953 -0.4980075850623925 0.5953757329153355
+1729 0.7860012520423756 -0.1794944003829563 0.2017698108522246
+1730 -0.6161996584310776 0.3741484550819196 0.8173225388329095
+1731 0.5138721461426536 -0.3475026495318633 0.8212711234935685
+1732 0.06479385560301998 -0.3982473580077916 0.1808705042658334
+1733 0.002953263749912609 0.3540274796351641 0.1728757569974154
+1734 -0.6026313243013465 0.144854025095788 0.5788379811480537
+1735 -0.8087525156040805 0.06283549659563537 0.8074343580139683
+1736 -0.3475089597893744 0.3091920565074288 0.171748094566833
+1737 0.38945017481019 -0.4892520586080409 0.1576619134587404
+1738 0.5247242481170749 -0.2677996305693626 0.3371712064558376
+1739 -0.1794013024304742 0.2108832889321999 0.4071213143591461
+1740 0.5115014063265356 0.6469524484964491 0.6054138478923431
+1741 0.09509183100971029 -0.5801550468274914 0.6539673786130227
+1742 -0.6230807947425946 0.05872615265928433 0.829141116675179
+1743 0.3868936993748097 0.493978349586999 0.5632779356433291
+1744 0.2401690664851714 -0.357894425359968 0.6079437697091533
+1745 -0.8230732724178249 -0.07931624863543339 0.6266381085085286
+1746 -0.3020595891603098 -0.7626736951645612 0.4419181549421772
+1747 0.3360666883982419 0.5010404902851608 0.3743164966688662
+1748 0.324481093967146 -0.725935619006927 0.6479115684961714
+1749 0.5727415103041537 0.3160179707424741 0.8167341550143956
+1750 -0.1457329449501101 0.391885721576966 0.5910913324606768
+1751 0.5133966000819925 -0.6255926081335229 0.5916893816839194
+1752 0.6877186154173641 0.4522095096517577 0.3776749955626148
+1753 0.3124133952385488 0.07463246666870829 0.3727876279091192
+1754 0.1271314481816756 -0.7986198844372681 0.3315597037438246
+1755 0.1797379671827016 -0.5111702917799034 0.8187259438648817
+1756 -0.5137397012939076 -0.2856909561760932 0.4094422804409499
+1757 0.79668098134383 0.1842470798492523 0.3951322415207564
+1758 -0.4338978873279508 0.6515732136698763 0.8301291054233174
+1759 0.1561515234611272 0.3257920349253637 0.6222941646798446
+1760 0.1963242141803096 0.5795559694387474 0.8311849629339441
+1761 0.6076638742440151 -0.5215928466469846 0.1774153176704323
+1762 -0.4200318368722008 -0.0004024549460563132 0.8417764349238583
+1763 -0.7137589888259581 -0.4220594722657054 0.6513243097680457
+1764 0.6140827968321658 0.03945109840820257 0.8151008098517643
+1765 0.5789172625887943 0.5984089266103609 0.2510312938188058
+1766 -0.5192463904151925 0.6423338281134909 0.5979335832730115
+1767 -0.07524588397542591 0.1846706538634821 0.1704830826041691
+1768 0.2798138497922539 -0.2987943704553804 0.3513289581992673
+1769 0.4741364507809542 0.6773728879689566 0.8271291902074291
+1770 -0.571639945563135 0.03366915261351502 0.3500894544650696
+1771 0.8302457144753025 0.02150420560545006 0.6271984978092501
+1772 -0.1486412667370204 -0.1581042251834023 0.8483223959749728
+1773 -0.4122135036147163 -0.1031439314167696 0.5196887595411841
+1774 -0.06555514598074151 0.175581850690024 0.8294424200974082
+1775 -0.5589785740242068 -0.6107059716327323 0.3406129766132961
+1776 0.3279009894641834 0.7585199850181192 0.6487044814130369
+1777 -0.1370167372328479 0.02332464802711059 0.5608646508198587
+1778 0.1217233053151956 0.5710296270325389 0.1720039282563118
+1779 -0.1525355354168692 0.3800314926992214 0.3807730975421261
+1780 0.3679699932400757 0.1509673582939277 0.8079285519084872
+1781 0.806386728970652 -0.1476196472283468 0.797047556034903
+1782 -0.08559690917742993 0.5910500874106382 0.5569233923098893
+1783 -0.2636904170008557 0.5085191009165406 0.5839737063900505
+1784 0.05883551590378742 -0.2611992589500655 0.5002315291067212
+1785 0.575467877595947 0.3104601642108862 0.6119563322627156
+1786 -0.1405353174198741 0.812168683872339 0.4367113303867074
+1787 -0.7738299747870927 -0.2974613239839956 0.8259825343872197
+1788 -0.002242526922659329 0.5539589023784115 0.8231245880194205
+1789 -0.2179669845575453 -0.5622535755749039 0.1691052118530735
+1790 0.5379989534260448 -0.630336511817939 0.4077172872239652
+1791 0.1086069004858522 0.163030211850888 0.5374334202683736
+1792 0.4851573320150915 0.4450302545099519 0.1566884761543443
+1793 0.7989556546867123 -0.1383772804983302 0.3788260141967923
+1794 0.0548686064066877 0.827236064680549 0.7413933667493832
+1795 -0.3055177720446238 -0.4981229053173356 0.3330882535568133
+1796 0.1769587810515039 0.5806820633090871 0.4502372957038098
+1797 0.00788436454070836 -0.8234906999929246 0.7860215215908308
+1798 -0.09333842181712693 -0.3785738128740549 0.8458320987938355
+1799 -0.7326826399406376 0.3906063156287732 0.6872539056381207
+1800 0.6015703881463021 -0.02884688990223785 0.1680247055269669
+1801 0.2405359918876195 0.3251285330890784 0.167960069164899
+1802 0.04764131473372508 0.1407954968201949 0.3481412317006259
+1803 0.6582835203954377 -0.460958956796208 0.8241276271522142
+1804 -0.1003236606953986 0.1117195714679601 0.6879436981675313
+1805 0.359619199790977 -0.471595084913712 0.8086575156030822
+1806 0.05023143849897006 -0.4485421773352093 0.3570527679386166
+1807 -0.2271703504721426 -0.1505387656065419 0.6855745594722706
+1808 0.604791386523739 -0.1376106272891562 0.829419853602414
+1809 -0.3492194303285366 0.735314356559836 0.1698917820734844
+1810 0.7727940898592759 0.3049320081337835 0.8312799230815422
+1811 0.5725275904472352 0.3235572032388059 0.3884899348046464
+1812 0.4050750784823718 -0.4123944334903992 0.5901227636397952
+1813 -0.3482188580021762 0.4912575546189707 0.1717735591716711
+1814 0.1877928103938133 -0.5651493116531431 0.5091014581403361
+1815 -0.8309053164834572 0.09916345270842244 0.3661849051762534
+1816 0.2822330812622726 0.6094540843005447 0.1525343799729009
+1817 0.7187983492192621 -0.4001126954791847 0.6361169196718438
+1818 -0.2848324357203811 0.170529448607215 0.6313915699834518
+1819 -0.1849339743942146 -0.8121508127203738 0.3012375577739506
+1820 -0.2530325700440716 -0.400567397260887 0.8359187581116083
+1821 -0.1842345235238287 0.6054903173979984 0.8356501950781112
+1822 0.331915053891085 0.7634359821674879 0.3634064355224099
+1823 -0.5870687317058056 -0.2171529097092512 0.1464344801629032
+1824 -0.03053627006035877 -0.05613615487754769 0.8428409865875413
+1825 -0.3714799447726297 0.7366760718104371 0.6359557287868771
+1826 0.8039558449256728 0.1885996886821917 0.5726568361932507
+1827 -0.001445338825292797 -0.6337516402441237 0.5182528246749377
+1828 -0.5913247154698418 0.5944268792304028 0.838824300231077
+1829 -0.158204445660851 -0.7056021339752511 0.1536254533396434
+1830 0.04621414647486398 0.5161890192232463 0.6071342638453148
+1831 -0.6666581503985438 0.5035548404410138 0.1831282639766969
+1832 0.7435206435721979 -0.3852709447414152 0.3944882476029096
+1833 -0.0003998136292509211 0.4157143167071906 0.3436487650855608
+1834 -0.2135555971820222 0.2536324707384078 0.8524692623856582
+1835 -0.02810483534071526 -0.09835988443417776 0.330324679312081
+1836 -0.6279170535133959 0.0003280039747361151 0.5172274605396272
+1837 0.04005790518620359 -0.6174220263241886 0.8164104503971387
+1838 -0.4904513069467261 0.1657849585208185 0.3582319928258968
+1839 0.6616285756778354 0.07968846613322079 0.5969599349060676
+1840 -0.5768134633521648 -0.2384100448584009 0.8492825097624882
+1841 -0.7759516906407193 0.2979950667312992 0.3789506805582122
+1842 -0.806167993482036 -0.2392052159207246 0.6701372062062089
+1843 0.2638566743057945 -0.5833734203600671 0.3589981281964149
+1844 0.03341272347385661 -0.103097434363811 0.6964767133705024
+1845 -0.5183169493533077 0.6627224849093477 0.4349772174219652
+1846 -0.7656896649774887 -0.3434474696647679 0.392440366464793
+1847 0.1382510874307913 -0.7750790824987686 0.1624466801716171
+1848 -0.338389120067394 -0.3102780682840136 0.3013272440397201
+1849 0.8062023796483279 0.2056313452111498 0.1684561831511206
+1850 0.1165831524928068 0.04200525729415146 0.1596812354777682
+1851 0.4794815756866081 -0.04244585721961595 0.363186174756348
+1852 0.2196848041589182 -0.03150295060897854 0.5471664863652738
+1853 -0.4951334467428219 -0.4314283859619339 0.5101622648741549
+1854 0.2727724366482091 0.4337882142679872 0.6533491096537772
+1855 0.4783717801223517 0.7103051669154334 0.3526814219435931
+1856 -0.05968538438900177 0.2688241816102016 0.4763212471427867
+1857 0.07865273427543014 0.334620576033205 0.8416187944294141
+1858 0.4523237635254805 0.4575050559900113 0.7056787643635957
+1859 0.383614011996285 0.1733843183455504 0.1619844488672081
+1860 0.1528945964714104 0.8350167496336558 0.617769279175496
+1861 -0.3810453692341917 0.1521144517884436 0.1524725976178496
+1862 0.6367287015019442 0.05142655140704931 0.353963583226904
+1863 -0.675141396012364 -0.4938544061992682 0.3623801675630198
+1864 -0.3952708659698883 -0.7493662382857582 0.314573034557271
+1865 -0.00641772514232208 0.3797716891452446 0.6559702875964847
+1866 -0.4056058717496475 0.2608297054581378 0.6891088424098605
+1867 0.4511688696447874 0.2165642681834125 0.3739682299040198
+1868 -0.6805860272897432 0.5011631703370654 0.4324390846262091
+1869 -0.8466565270229671 0.06802380606178164 0.659508411096542
+1870 -0.5933442776108568 -0.6070374410110589 0.6827553414956054
+1871 -0.2748102527338946 0.3122227085600739 0.3298961001810516
+1872 0.3194209298214664 -0.7445901189862209 0.8244239534389373
+1873 0.2636109147598613 -0.7923202599736067 0.4362643328049295
+1874 -0.4104605918150604 0.3405032743413422 0.4744690190540853
+1875 0.497731678469152 -0.3918062262979392 0.1406749679960977
+1876 -0.5463228586924249 -0.3726200922846346 0.6889810645833149
+1877 0.6401470520902447 0.1368079710937282 0.1676449109544919
+1878 -0.5333102617735804 0.02637233237386779 0.6443866053997293
+1879 -0.1578853667264603 0.3082204050873464 0.1419614660580731
+1880 0.25627663475198 0.3672855549819526 0.3579218521225834
+1881 0.1700024468948066 0.8203364090456934 0.3441347102959313
+1882 -0.4341674543757161 -0.1300941436592158 0.3739877585526686
+1883 -0.3414550328214129 -0.5738035645444385 0.6243810967486659
+1884 -0.186513629274071 0.8144563022143906 0.1961518479863084
+1885 0.3336122019766977 0.2990217375759618 0.8534359276531993
+1886 -0.1181839931301286 -0.4042913210285911 0.7007949174089227
+1887 -0.5112703785083013 -0.2125421650725316 0.7105599843622197
+1888 -0.209001450474068 -0.2340451500234244 0.4774581323235618
+1889 0.8035758444736105 -0.2642566889231577 0.665137625415563
+1890 0.7169724804278209 0.4612359109139338 0.5491900517089714
+1891 -0.2757317080286829 0.5334357128757602 0.3164130711580824
+1892 0.4301138382390157 0.1985943530314085 0.5653657007665609
+1893 -0.1627577742021715 -0.001195750585257546 0.8622654563107478
+1894 0.4072648948638856 -0.7389216246603439 0.3283280205737901
+1895 0.2695858495689847 -0.5836342324276668 0.1516850538496391
+1896 -0.08587138519130103 -0.3389137726465978 0.1569444475996139
+1897 -0.6227885814444443 0.3452701714359619 0.1605569445272338
+1898 0.450434327607055 -0.5053648295996997 0.4644239969554326
+1899 -0.481421048340379 0.4648077925348399 0.3419521979175524
+1900 -0.1436454549948708 -0.04974846789106671 0.4366303736092227
+1901 -0.6883829836102946 -0.1322751384571004 0.6642966055710632
+1902 0.4153395568188203 -0.02791484241195973 0.1550702208969312
+1903 -0.1228020732084685 -0.0657178136667692 0.1822383356872605
+1904 -0.7284153656647405 -0.4235676597195699 0.1533768305375023
+1905 0.009269036339737781 0.6767846712810349 0.1487439585768934
+1906 0.423285827766928 0.5334492600172978 0.8351113226458562
+1907 0.6279503677636153 -0.5794260579909577 0.7279858797976312
+1908 0.3212007199821644 0.6684042613201846 0.8314238027711682
+1909 -0.4567399169128528 -0.16357636225273 0.8685311235584965
+1910 -0.07468177598850173 -0.6623720965978936 0.3445527322581249
+1911 0.5502443257222018 -0.3574562910487877 0.5455581455995123
+1912 -0.1523434405181532 0.8317190298195828 0.7082218540222007
+1913 -0.4298653743364559 -0.7309311751360307 0.133260320587677
+1914 -0.3086163759964929 -0.7944991924058475 0.8429797780370928
+1915 -0.4169706165896858 -0.03881233781539868 0.1504118452791452
+1916 -0.1208909348010609 0.6641297567151327 0.431453207533195
+1917 0.3894506179714239 0.3627694841090023 0.2917703589870371
+1918 0.3403096352977707 -0.1902416860682809 0.1471294841026333
+1919 0.4155294887764775 -0.372280200554244 0.3788324417354608
+1920 0.1943908291432948 0.1554617382001011 0.3343384728747047
+1921 -0.2406767524912235 0.6198909836858413 0.6971289203422656
+1922 0.204415702209442 0.1036610063050462 0.8434114307145313
+1923 0.1056042955190601 0.6018316461020546 0.7183356151760701
+1924 0.07435331390637703 0.6882420111834119 0.8444759389603153
+1925 -0.2549382868201227 -0.3783570936681964 0.4006959435890271
+1926 0.3233022635445528 -0.1576015873871742 0.8323405552906988
+1927 -0.1182994002500232 -0.849898711260532 0.1456914141872615
+1928 -0.357858125110728 0.01954613810997256 0.5506977046702169
+1929 -0.01511855704814912 -0.8532446143249087 0.3531900697639659
+1930 -0.5632762667403025 -0.6407979028855134 0.1494138890025552
+1931 0.6469315171048758 -0.5505720079786326 0.3269710015597609
+1932 0.09401207291875552 -0.1096474274749635 0.4133186831979591
+1933 0.7036063568755009 0.4699219939710699 0.8459200425305979
+1934 -0.2934731114084406 0.789790300788349 0.4820083765378938
+1935 0.03946014249263127 -0.3284741798551196 0.8644617041473633
+1936 0.4563504561876592 0.7346767936990294 0.7001763116719822
+1937 -0.7674548657012984 0.3553242103919801 0.8496144541008477
+1938 0.1356742045159678 0.140238045859411 0.6852200292755464
+1939 0.290429605096002 -0.3846400814489358 0.1380151093066113
+1940 -0.6507254956518073 -0.1636738432018194 0.2743510468864088
+1941 0.190811623188796 -0.3264262730376234 0.4693904305055324
+1942 0.6271254997605362 0.5989427029091482 0.5498764503875908
+1943 0.04502422238161667 -0.3506135963648737 0.6390954924758461
+1944 0.5077242953934304 -0.5072211571852391 0.8486610141192255
+1945 -0.03777458054809463 -0.3856459630839103 0.4574501879993149
+1946 0.8615839434959125 -0.03963956050052901 0.1852905941856055
+1947 -0.004403295663172879 -0.6561483201905337 0.1366540319560461
+1948 -0.4222245888486003 0.7408499474985654 0.3427712102634076
+1949 -0.6770237054379267 0.256256462200578 0.6307326259371607
+1950 -0.1394944136138131 0.5838850968065782 0.311692054138594
+1951 -0.2036914455284332 -0.6111799071307513 0.6751536208178557
+1952 0.6455839757028253 -0.1714511538782559 0.1479812868098924
+1953 0.4793442358729343 0.4874669874599891 0.4556826719475595
+1954 -0.3855780608594809 0.5153046523095202 0.8573513032203289
+1955 -0.03858390135697611 0.8561292636656469 0.2174591218443439
+1956 -0.4003600977475648 0.5231314450472277 0.5480748914947993
+1957 0.7815401134035289 0.3327831735073176 0.3642664999514215
+1958 0.1129826443257993 0.4525861622723021 0.4264320904699229
+1959 -0.3318456998022986 -0.7119802001657813 0.5762490051895788
+1960 -0.8545132267245719 -0.04755777290983507 0.338240457888105
+1961 0.7817887846351753 -0.3271615412923058 0.1497502420223775
+1962 0.09723650301649225 -0.1227523534334505 0.5555858448603935
+1963 -0.3660044343479124 -0.03383993761119039 0.7194958021375333
+1964 -0.5393918258985927 -0.2530595435986563 0.2744412727653065
+1965 -0.5159481199549143 0.07587615678718534 0.1505432019049701
+1966 0.3619321028599701 -0.1523603070208578 0.4207684972690086
+1967 -0.6712642511727395 0.1125655990280512 0.1491803782642384
+1968 -0.6240821087097976 0.1480343602383573 0.7189847823342462
+1969 -0.1540781954895405 0.07195775785137856 0.2043850547210984
+1970 0.007756341929499533 -0.0007317486991873616 0.4307291717870319
+1971 0.148471009875292 -0.4459983482725692 0.6817612562477511
+1972 -0.8624265574827907 0.07162893585749137 0.5186593331352873
+1973 -0.6964640569134519 0.4983596865309592 0.5823276483872792
+1974 0.5233733450119625 0.1672328172090549 0.8213864266180282
+1975 -0.7700628176684935 -0.349548182664521 0.5380510988969706
+1976 -0.6684038460302634 -0.07459254258892489 0.865209817429003
+1977 0.6226887569658188 0.3176970825916136 0.1443841252303541
+1978 -0.3318425490227083 -0.6337698401565606 0.1303006303859131
+1979 -0.4818251315158599 -0.5245014474373024 0.1357980335586472
+1980 0.2534540727594724 -0.05876400101501192 0.3789346697116525
+1981 -0.6541235907462966 -0.2531454839637083 0.4058056769199412
+1982 -0.1499482935980512 0.493632594461422 0.1377101246096814
+1983 0.2447165720457164 -0.07590326124960307 0.1482596096239063
+1984 -0.8329077338406882 0.1970260003520843 0.8592708661354946
+1985 0.0521451482774053 0.6369899431482834 0.2844046699467159
+1986 0.3095941028312735 0.1984158527612064 0.6726460547016013
+1987 -0.1053745315208202 -0.1774316746491195 0.7260511924578481
+1988 -0.1129110823529134 -0.1273212101665311 0.6001190340702387
+1989 -0.3212797913267582 -0.1013123079382443 0.2787012923900717
+1990 -0.8407309942512162 0.1280781056964347 0.1554967625398166
+1991 0.6454540808273547 0.5307950340608535 0.6690405156400144
+1992 -0.2857728797031585 0.03682617525362827 0.8761254971011312
+1993 0.7705053237288289 0.353846468087825 0.1581958014908569
+1994 -0.6269398065768421 -0.5870094471040093 0.8586576997831979
+1995 -0.1493883193483952 0.8182425327899607 0.8574972178579308
+1996 0.3816844596778744 0.3511401810028325 0.134132762010775
+1997 0.1021305835144664 -0.1820819017446901 0.1370485937360733
+1998 0.3299489826315722 0.3158882656869445 0.5864189748282934
+1999 0.6749641871789686 -0.2532530354217665 0.3601165341265737
+2000 0.4844849432713875 -0.03222832368722415 0.6176933160016455
+2001 0.1130719532265823 -0.2161484422951669 0.8686161567104039
+2002 0.01688249666331677 -0.06262851011003087 0.140656174200846
+2003 -0.6888338491996532 -0.04973444765955637 0.3535212188464415
+2004 -0.06078101861232882 -0.3731849320303456 0.2974727898666168
+2005 0.2381854841023914 0.1862299824883865 0.1347973478505014
+2006 -0.2169339704737894 -0.4930174115032767 0.4698600404624669
+2007 -0.1764686937026834 -0.2774317316934663 0.8827156901407857
+2008 0.4503038107896717 0.3895368939398637 0.8543470914581099
+2009 -0.8153689383985999 0.2782169484879964 0.6576373813955125
+2010 -0.5180451789410545 0.4339830042190708 0.6020182969900041
+2011 -0.1353049620719254 0.2421111304854398 0.7213911868126018
+2012 0.1738423958385219 0.44504300238071 0.8652382753153527
+2013 -0.3267663647819106 0.3390410415268076 0.8612438619911481
+2014 0.3268118562047991 0.6367596219995979 0.5794402963846924
+2015 -0.1959032762556433 -0.2562764642148988 0.6091266059239153
+2016 0.3245671343253437 0.0008227223510846593 0.8339114226918899
+2017 0.1699922890187227 0.7006951433005434 0.1282444979885358
+2018 0.4681548870006831 -0.2037328513698946 0.8426401386680222
+2019 -0.3139450585067586 -0.2002504462819368 0.5643568727734561
+2020 -0.4842503498049162 0.3243201543607412 0.1346688136399451
+2021 -0.2694241065154273 -0.5808822056188708 0.8582924895342889
+2022 -0.3747687766595331 -0.3995170086370441 0.7120794638768855
+2023 0.3638545515162389 -0.5865550587113519 0.2573938458692649
+2024 -0.02994398788792463 0.6158810436835728 0.6977766144061381
+2025 -0.5896254975076983 -0.3831143739463101 0.3399469973783634
+2026 -0.6553916055145144 0.1861145905565911 0.8672727607869558
+2027 0.2324666925986604 0.5272288444961796 0.2817573197542323
+2028 0.5234533766816716 0.6956442338327765 0.4818390239230312
+2029 -0.143108586245516 -0.2575682454831338 0.2591869482606644
+2030 0.202147887329574 0.4587049595779576 0.1413751693307268
+2031 -0.08245317675621568 0.1393045167178021 0.3572486292131586
+2032 -0.3682278968164989 0.0809603981577732 0.4380199719467451
+2033 0.5087140640619597 -0.02205638164481489 0.8722754105889063
+2034 0.7924578924016293 0.3310915914814553 0.615097352164342
+2035 0.02815135999219359 -0.861249229023637 0.488266326155156
+2036 -0.1211834908658382 0.4789833240186051 0.8378165973358933
+2037 0.3743591801744934 0.06975800195243348 0.6184895279382057
+2038 -0.2923489700470596 0.08667444134765857 0.2902749190465349
+2039 -0.6240164460985792 -0.2936448147172723 0.5784404905147176
+2040 -0.4289595768860093 -0.5525167045998479 0.3393790830145899
+2041 0.3284691262998812 0.8006642841284161 0.7832152399603012
+2042 -0.4517852707982987 0.2913503370526007 0.8737318726521681
+2043 -0.3390870145429675 -0.7985733630302621 0.6858265923484183
+2044 0.07792179024728964 0.188652146811116 0.858150342976233
+2045 0.4359789366756412 0.7525354218077123 0.5677536106845249
+2046 -0.7664309729408989 0.3944453903292283 0.2114998193594446
+2047 -0.5025123625823872 0.1757556783697116 0.6595909652974712
+2048 0.5605007860104498 -0.213348268790139 0.4692176289232913
+2049 0.02547515626218691 -0.8654102879607724 0.1530665330779941
+2050 -0.2320645277416178 0.4286705880866093 0.6880075025614245
+2051 0.71103308316657 0.1505976893632107 0.8530088479359534
+2052 0.07254739272985253 0.3036583899558979 0.2783049830612591
+2053 -0.7030099614339448 0.4927747923854261 0.8557274977516028
+2054 -0.8037921897671507 -0.3144791401830997 0.1968934136770429
+2055 0.8510626110999524 0.1447269019691394 0.7051069639910444
+2056 -0.7394487133086149 -0.4340441877693673 0.8597410423871857
+2057 0.5706702215828964 -0.6389539755521569 0.8483653811338041
+2058 -0.166466884876485 -0.5193644603884924 0.294925471131503
+2059 -0.5563314366416854 0.2972311155484197 0.3179156611508201
+2060 -0.8437713288196667 -0.1558043665946613 0.477171207579683
+2061 0.5693477694122527 -0.4065578562343366 0.3473326521144449
+2062 -0.3558309402667079 -0.3305608834554186 0.1342985513869139
+2063 -0.5071160786364058 -0.1921420909313377 0.501446101772024
+2064 -0.1981453591112653 -0.8393062738294885 0.4961079696749867
+2065 0.05714617420556981 0.2871164033826997 0.5401061538361155
+2066 0.407585456326406 0.5546926980459161 0.1339591827284597
+2067 -0.3373155936556095 0.4206093086326822 0.2909733991270204
+2068 0.5288454460251998 0.6726297682960756 0.1370778629464023
+2069 -0.5359543756392847 0.6721476480756932 0.7348560644741483
+2070 0.109582435080705 -0.8444023487053159 0.6648125982672333
+2071 -0.412305554623039 0.2142648263478042 0.2641421440127042
+2072 -0.03086858532825973 -0.3195875386158392 0.7477447191122346
+2073 0.8044360297039428 -0.295259036308079 0.2931257091938654
+2074 0.4426463936142723 0.5798626404862972 0.3468733865907183
+2075 -0.531752250770211 -0.4959040106959274 0.4005490619799961
+2076 0.215072692818648 -0.6476431261444666 0.8578943533502577
+2077 -0.4502575498169812 0.1253358155362689 0.8724046672968395
+2078 0.1594017372901529 -0.06814645861295532 0.6624015645543456
+2079 0.1791906203975193 0.703653199814367 0.6418321946996326
+2080 0.1707426408921319 0.03202920843108373 0.2835444251689719
+2081 0.8103502284106343 -0.2884360016704725 0.8457066659819364
+2082 -0.3037754403009207 -0.2449895359393976 0.7227812272517971
+2083 -0.4045618973188356 -0.3534839205219086 0.4234147908898253
+2084 0.03370643984283835 0.2377318496189745 0.1266110309831601
+2085 0.187477677482894 -0.4277894830400209 0.3732457411947996
+2086 0.6246570725778954 -0.3026020538078947 0.12944204208133
+2087 0.1422929777200452 0.8452344597810622 0.8621083526490309
+2088 -0.09581800271979862 0.3756704348650541 0.2615728127648748
+2089 0.6580102170889137 0.2119348249072855 0.4090759701756979
+2090 -0.2497776202802752 0.1004021247381746 0.1243075312393833
+2091 -0.5276279984374959 -0.01813580438970374 0.8897279362260793
+2092 -0.5986646229964204 -0.4023663467805549 0.1312116322188547
+2093 -0.04998243531167414 0.7147355450632643 0.5299638193617967
+2094 -0.01611740590383849 -0.4898887672873047 0.874455225128929
+2095 -0.4288698521298968 -0.7487335459696072 0.7835260162055498
+2096 0.4300412239152108 -0.5332695696788065 0.6667239147861811
+2097 0.4593610085697046 -0.2774091436706051 0.1164473313687073
+2098 -0.446094843380665 -0.004245758888901247 0.3852586196064489
+2099 0.5634350482328946 0.6588912766589122 0.7286210719197235
+2100 0.1093524335962942 0.6924244260953061 0.4835007226944565
+2101 0.3113151794181378 -0.8098133271240759 0.1492343551242979
+2102 0.2261547616118871 -0.2143694257270507 0.7399450068395375
+2103 -0.2695011798837563 -0.1492203953662797 0.4026954363923163
+2104 -0.52046819007892 0.4754830254977376 0.8646264019482364
+2105 0.4767358544441169 -0.334801081827565 0.6848973993766887
+2106 0.4039878646404673 0.7522247350622018 0.128985784642686
+2107 0.7284089487744495 -0.4581888072645059 0.1379528829805284
+2108 -0.3012589334976219 -0.5997730886411534 0.4204638190196012
+2109 0.8617966038789814 0.05154076000074044 0.3626027265360391
+2110 0.4184364894202214 0.1019661860802095 0.4625477133632412
+2111 0.4249707496715782 -0.1584038660477894 0.5871206330256833
+2112 -0.3143870087252855 0.2881098982817215 0.597806579385178
+2113 0.1904591451034299 -0.1953803137487679 0.3307083035107737
+2114 -0.590437848454927 -0.4844182346809008 0.6377645435900637
+2115 0.8749123148238568 -0.04478980193878082 0.4988354464982971
+2116 -0.302006289395057 0.211558699748169 0.4779830889316083
+2117 -0.5530381799961132 -0.3699877899608249 0.8691780001893157
+2118 0.326014923668712 0.2712169152248007 0.4229027385370693
+2119 -0.7075999267503031 -0.50840929885149 0.5418166958216977
+2120 0.0449852893873208 0.8707059098043478 0.3240968452739816
+2121 0.2998220070820717 -0.2454268602671927 0.5505405629559654
+2122 -0.5713290975760634 0.4004285480721118 0.4156788526751678
+2123 0.1720780333727027 -0.4957863845908874 0.1301976564814535
+2124 -0.130005213064852 0.6933699854453785 0.1532813467799198
+2125 0.6491116981490382 -0.5655791039887097 0.5814032293432129
+2126 -0.4278420612182201 -0.5336815755608638 0.5368112300258705
+2127 0.4940549362350651 -0.5610104503562485 0.1262625751447525
+2128 -0.8632263904823065 -0.03258412993320441 0.1359300033844008
+2129 0.817359317282351 -0.2685592368443043 0.4437286830271966
+2130 -0.231143498934721 -0.4292992281458771 0.1324074038811776
+2131 -0.02066779420125272 0.871439116762076 0.8499999999996051
+2132 -0.3777182983292913 0.7852011072999616 0.8718178819436684
+2133 0.3011944427976132 -0.3533675701585708 0.8694816491296433
+2134 0.3572205794700266 -0.4304800124034842 0.2734337790643249
+2135 0.8673958278775882 0.1350824430758515 0.8711602138943128
+2136 0.4663316877890993 0.3940448595226275 0.592085064548579
+2137 0.1404903222984472 -0.8448549667739323 0.8519068284621614
+2138 -0.4281054228584459 -0.7561797242782903 0.4915515253396683
+2139 -0.433793309169308 0.5703248562650641 0.4007157948739776
+2140 -0.1090446786688798 -0.8614404783318387 0.7223870142249312
+2141 -0.6598250830097732 0.234999957279331 0.5021756455246768
+2142 -0.4767228756634362 -0.08063595209186565 0.6868453284547131
+2143 -0.005094497581354419 0.1142870001487638 0.6022805409196011
+2144 0.6446198276377881 0.5727286404950058 0.1306747939987768
+2145 0.2902690785172535 0.6251009134597456 0.3946522666868959
+2146 -0.03937657111813746 -0.7201721939854757 0.8663568680968272
+2147 -0.4726073325593608 -0.06066455103441372 0.27261715086736
+2148 -0.3485981627200821 -0.1173667628696722 0.8910311826860182
+2149 0.5585536321932957 0.2001222511482689 0.2854493449900224
+2150 -0.06552023583333047 0.4872720529002833 0.4300474499438339
+2151 -0.4030908729717043 -0.3947281058127801 0.5825853976342223
+2152 0.6804186525250848 -0.2050497613511079 0.6337366208624945
+2153 0.5159528185478226 0.1781693547799776 0.129350738863068
+2154 -0.2597978663432111 0.6365349432530092 0.4001420343485349
+2155 0.5855119548801235 -0.6444008373211545 0.2421758263137414
+2156 0.03865251251326511 -0.5271898091398926 0.1202821872881676
+2157 -0.2288913240121414 -0.1203480447201896 0.1248960038762526
+2158 0.1986461629978537 -0.668798629920818 0.6081804647064244
+2159 0.003100212235885563 0.09268042891230249 0.1259204092094739
+2160 0.6965096234737141 -0.1403125820880333 0.4734345699260439
+2161 0.1446204120610582 0.8607261559285454 0.4837414622538871
+2162 0.4382935524849751 -0.7451465805670994 0.561004440108812
+2163 0.5784462069780928 0.3682393460436278 0.2629425606446049
+2164 -0.168717008880517 0.2736773688308151 0.2739605406923505
+2165 0.8754001081847939 -0.09151966634231169 0.6780388129930293
+2166 -0.2301814076080373 -0.2613333283312384 0.3536558841395496
+2167 -0.5119994435653263 0.04757516745716822 0.7680478058306511
+2168 -0.1517022806520584 0.07610367848856762 0.4547096944427634
+2169 -0.8195564891933078 0.2906185727695579 0.5223718146680493
+2170 -0.5144703615632579 -0.7138788891709172 0.2730183870821554
+2171 0.635576245219496 0.6036773972000575 0.8778523654792363
+2172 0.02746696505773132 -0.7331814366836649 0.3940453552013738
+2173 -0.7113668655479333 -0.07190679329222817 0.1335562639235685
+2174 0.2616007020749181 0.5375632658865633 0.7290682199201327
+2175 -0.7200725993565874 0.08799673153141857 0.4887345631313922
+2176 0.397861427587146 -0.2275098156516904 0.3144995843976999
+2177 0.7133411803209897 -0.05159969981505366 0.8585219301465822
+2178 -0.5131939601196465 -0.5097371429420083 0.8735660740694992
+2179 -0.8729528003021098 -0.03372038410573563 0.7415880824103332
+2180 -0.6187338568032139 0.6038335396449142 0.5097927732560312
+2181 -0.4176772583368683 -0.2863338223728813 0.6778208325298672
+2182 -0.1354292810457839 -0.7026243217193664 0.5611410673575306
+2183 0.1589700585151907 0.4562335338220426 0.5993665183788323
+2184 0.8474916763452298 -0.06823392732662401 0.8829261447681226
+2185 -0.2597373148840892 0.2496619195761607 0.1139627706363393
+2186 0.8687081746729429 0.09164468733043842 0.5014760961511827
+2187 -0.2658779482459565 -0.427057820612197 0.5784470957490582
+2188 0.05968148309574124 -0.7151322106441117 0.6468566374953603
+2189 0.02696670555560149 -0.649371343131795 0.2633823340260381
+2190 0.1201373661510256 0.3351693606141496 0.1186545784856358
+2191 -0.5555330342626372 -0.6758021520003612 0.4603342036701946
+2192 -0.4540038180092959 0.7390275182057859 0.5276474331628709
+2193 -0.5678494371046306 0.1361280990209974 0.4558787611814688
+2194 -0.3094558019141869 0.6306867773119552 0.8684944250898533
+2195 -0.6478463642713282 -0.1644725353508851 0.7779601935734238
+2196 -0.3418424094899757 0.6129679110103989 0.1259274513382152
+2197 -0.8425480989053364 0.175489570599074 0.7318343723324974
+2198 -0.6108023588398432 0.2765972371433255 0.7367462685669015
+2199 -0.0705877061089495 0.05400192007510454 0.7961190223067058
+2200 -0.2582350196477303 0.3790449128729736 0.1193059551240202
+2201 -0.1706698390301715 0.1132498856446494 0.8950860414847661
+2202 -0.7591507881448514 -0.42337839102773 0.2843846420165516
+2203 0.6438126960021688 0.2078133375394828 0.5535791465680885
+2204 0.6168288236555156 0.4076720055539471 0.4768854602621236
+2205 0.5739697891217915 0.4360889036879847 0.8759765275922213
+2206 -0.4884295273597861 0.5512444467548523 0.7607880847850065
+2207 -0.4542928816252397 0.5453812578394018 0.1240177515399751
+2208 0.261624890239488 -0.40119606724469 0.7442159026075457
+2209 0.7331837238761277 -0.0630136608353149 0.1344798783598035
+2210 -0.2266294319378325 0.6196540164821029 0.5256194846575831
+2211 0.03180174676749169 0.4758692011020362 0.1214094619437233
+2212 -0.04508048130781325 0.8830523630817037 0.480781885161649
+2213 0.2916613304903793 0.5464997579652749 0.4957111352822977
+2214 -0.3203502223202499 -0.07384788842334793 0.6133182873591528
+2215 -0.5380784997946538 0.3929104142623951 0.7198110331437398
+2216 -0.312228301964958 -0.3349511100522805 0.5000315575817653
+2217 0.1888326072221622 0.8524176940674439 0.1228826878392107
+2218 -0.1691177060001753 -0.6713293876680581 0.4320767870410506
+2219 0.1272138086452964 -0.5283284570303273 0.2890461440558724
+2220 -0.3505778254515487 0.4523296977406454 0.7185033767290285
+2221 0.1956946211952566 -0.6754047070053554 0.4310614104724295
+2222 -0.1446697533872223 -0.2247203389117624 0.1176825865635955
+2223 -0.4942937098735983 -0.4573155170753133 0.7629010370908696
+2224 0.3416713788838051 -0.5465299964980086 0.5373652498709482
+2225 -0.7088442868479409 -0.2564314538015007 0.1210172847151226
+2226 -0.04367934952078386 -0.5478622694442657 0.7133683225577869
+2227 0.02852260619191879 -0.5211699853933912 0.4619289503990009
+2228 -0.3128156353188873 -0.5902798806338294 0.2467061616839179
+2229 -0.3621605845813457 -0.6759180858065998 0.8736043641992075
+2230 -0.4228491020508428 0.2306411497258943 0.4311770120814226
+2231 0.2128088682387878 0.09565874999758578 0.5844455953955177
+2232 -0.4201947135982907 -0.5752013897437992 0.7248894431845913
+2233 0.7670461092082307 -0.3964413405813574 0.7664247226701217
+2234 0.2955637069830203 0.3371794459178669 0.7360275629860141
+2235 -0.08306337875262423 0.726640688726247 0.6579836431430559
+2236 -0.8614927143241016 0.186204377540418 0.4575613541717961
+2237 0.372564188050625 0.01900342901468431 0.2700874841987623
+2238 -0.707072371745466 -0.09080107515764435 0.548262696060391
+2239 0.07599492185653708 0.5164261827226531 0.3214080737210531
+2240 -0.06176992243677895 -0.3746645490543384 0.5802921801192368
+2241 0.4518089925317835 -0.7327838687244022 0.8694213303231109
+2242 0.1918970411025933 0.268069179114617 0.2811200514679383
+2243 -0.3873675532231218 -0.1288565776315491 0.7823834800770124
+2244 -0.1834296369906647 -0.5173505803729128 0.5971435019083324
+2245 -0.2084055373590287 0.0008102796845953705 0.752282577917964
+2246 -0.6479151866699771 0.6017136732343189 0.6300404720474444
+2247 -0.05991368491463218 -0.2710246483466783 0.8859288662076903
+2248 0.7400845699771194 -0.4492994231341511 0.5127387006658841
+2249 -0.5245679716761251 -0.06211804064878583 0.4917199057722887
+2250 -0.7397056113704532 0.1264893625038761 0.6806403356675745
+2251 0.3009917913270679 -0.8205713287124525 0.3092661019932553
+2252 -0.4308275358661132 0.1055219969709007 0.5888931269828666
+2253 0.3411886035031085 0.8128593268228195 0.5062763367268764
+2254 0.3079914897618015 -0.623414953184965 0.7576055398802707
+2255 -0.6918149932917412 -0.5311888534625948 0.7156976190808847
+2256 -0.7042730630509243 0.520923756062347 0.3062494358950403
+2257 -0.01106574404122819 0.02586616790915422 0.6911727279321092
+2258 -0.1930393676269077 0.4210243056095462 0.4853758761081264
+2259 0.1518628223552008 -0.85984320316181 0.4455305749828634
+2260 -0.5110010840649366 0.6688223578451187 0.2883260198669096
+2261 0.6093389486430764 -0.3281682461954512 0.6653268224844119
+2262 -0.4377405391314869 -0.2338962561215107 0.1166026313064532
+2263 0.30932925509431 0.5347222638269348 0.8889597075861344
+2264 -0.8529599691625255 -0.04715270728329735 0.8768067807143582
+2265 0.5705275225677714 0.4154091636185963 0.7348201590830821
+2266 0.206356229831661 0.3043119838017404 0.5070062594364583
+2267 0.692311548412869 0.5434689116933111 0.2846347469397439
+2268 -0.1112287696760226 -0.5971837912218924 0.1178218659070199
+2269 -0.1069738191185493 -0.467056791591184 0.121432986183224
+2270 0.05951738160900624 -0.01110519293653066 0.3182576973045928
+2271 0.03715439039233374 0.2032376041808521 0.4499537686765792
+2272 -0.6312156768940697 0.3831515523833683 0.6150693504122872
+2273 -0.6596639282751064 -0.3462807864717022 0.8072270286028785
+2274 -0.1401301289632564 -0.8758094357823268 0.5952974755384872
+2275 -0.2422225931277653 -0.1379849442281665 0.8998652036123262
+2276 -0.008260795301274007 0.4892064382683021 0.716364486364228
+2277 0.06799285948129917 0.8783982649409768 0.1094732129755622
+2278 -0.04489473912737343 -0.882213755989069 0.8853657120315455
+2279 0.5139293429248954 -0.7108036365664978 0.6928797598986596
+2280 0.7395687384930028 -0.4615800649837196 0.281768159596529
+2281 -0.2859541316739108 0.8254181785194916 0.6907814451207113
+2282 -0.7673327022223874 0.01942308866883461 0.5791528110381128
+2283 -0.1519423874496985 0.8680516287908963 0.5539514931784805
+2284 -0.003160735828721187 0.4328678114697446 0.8778472233740576
+2285 0.07876706367311694 -0.2731895598073755 0.7549454615414823
+2286 -0.668928534461666 0.09234975826996279 0.2807294479214926
+2287 0.2445389588061809 -0.8287261160441902 0.7008083784181578
+2288 0.6878763055834252 0.5664017689938763 0.4535001407517111
+2289 -0.3606430399161139 -0.3438416372315969 0.874106787287547
+2290 -0.03634985566169268 -0.0383042948971047 0.5786281650343603
+2291 -0.2628680178891547 -0.3596398007741763 0.7207584167493158
+2292 0.1748083921099408 -0.6447246389686296 0.2926940211097027
+2293 0.1741781246900539 -0.3514373833453682 0.271811731776891
+2294 -0.2724534235454008 0.8444844234944096 0.840340185755751
+2295 -0.1934667943394935 0.1164392511861519 0.591991332602917
+2296 -0.2413847231845873 -0.007483565428977712 0.475157124499027
+2297 -0.6501937163149081 0.2314089449086799 0.1174106113993713
+2298 0.02871906184896342 -0.2885991580420501 0.1200399895727922
+2299 0.7076003968700006 -0.2088792479082664 0.8755662780818965
+2300 -0.0924891428306187 -0.2227926980289624 0.5041817149592234
+2301 0.1034835483877327 -0.7187886754876687 0.8759122139825558
+2302 0.2384567947738816 -0.2394414964015217 0.8831091117757721
+2303 -0.7196243451042592 -0.1942427711482292 0.8806219913646722
+2304 0.5351650499329617 0.2669854041137404 0.4978022881200124
+2305 0.04609212571953434 0.707739102236248 0.7211572895879458
+2306 -0.06708076649580778 0.3037929851162793 0.5888991846335887
+2307 0.8273927108044181 0.2756320917676425 0.4805977988675463
+2308 -0.06173606284472631 0.4755196217829663 0.5759606114053337
+2309 0.0103597557457385 -0.1981888847582778 0.4077772097049084
+2310 0.07881446054181648 0.3148822701007892 0.7189382941379564
+2311 -0.2457734447204658 0.1231549282552542 0.3928551226260663
+2312 -0.1365054661452632 -0.4131700800579434 0.3873765169496516
+2313 -0.5172857299370747 0.2198732152534002 0.5526711743043649
+2314 -0.6529509565799958 0.3081978964937696 0.4024891505487019
+2315 -0.4334706069114553 -0.2424867563426233 0.3307516450705096
+2316 0.7669527278168213 0.4283723966071037 0.2776031195887856
+2317 0.3425050496559507 -0.6869874995454376 0.1382418908549793
+2318 -0.2435937050385879 -0.1806801165553812 0.7925936997363811
+2319 0.5335477827580272 -0.2977232175298803 0.2156118775128731
+2320 0.4279197115967669 -0.1954553257682189 0.7135861056391007
+2321 -0.7632898234817707 0.424886709946585 0.3720072474276619
+2322 0.4553911077758795 0.2622707893550857 0.8768335282161137
+2323 0.1072500876528361 0.1507694958584511 0.1060305222655844
+2324 -0.1784951738045083 0.3727212418215693 0.8744058047094799
+2325 0.2118672776366412 0.3245743167064246 0.87983450483639
+2326 -0.04768583356384522 -0.1530616949176209 0.8938136988610232
+2327 0.598743310049287 -0.6328343824126836 0.1160238864329421
+2328 -0.2607565495322178 0.5290858255970026 0.1071400737032346
+2329 0.2673551423661406 0.6579740718612938 0.7122299127253394
+2330 -0.801512684126794 0.3118041303649108 0.1175785224512145
+2331 0.7437031163808722 -0.0242193730011715 0.3446559654053969
+2332 0.3499907189222872 0.5623141554664739 0.2705052489118191
+2333 -0.1643166816322504 0.1694310739211527 0.1051357566563701
+2334 0.1929091362847992 0.1345376266472419 0.4542977303462201
+2335 -0.1124204594881851 -0.5819558550809335 0.5210516534636667
+2336 -0.5084199959277955 -0.4444603151855853 0.220723194055439
+2337 -0.2789954484863568 0.1522361197310045 0.8826779855850262
+2338 0.8376687423874736 0.08067672834991416 0.1306632168666219
+2339 -0.8500214176095467 -0.2018657388989338 0.8726825278466326
+2340 -0.3213052287034535 0.05927932068564287 0.7693916333919271
+2341 0.4769660769165362 0.539117235549701 0.2303064781193769
+2342 -0.567111067935721 0.2973474428569919 0.8900935853414061
+2343 -0.2630041018526245 0.4163414206366461 0.3803127202711374
+2344 -0.8569820592322305 0.1788519235699778 0.270780100381906
+2345 -0.1265852605636568 0.8325838489058752 0.3095546325130685
+2346 -0.2313091870926866 -0.8372881113148269 0.7371624260604447
+2347 0.5259214717337009 0.5436647930374019 0.6653395865401021
+2348 -0.2661206666099213 0.3925590208190598 0.5831770919026749
+2349 -0.6642360217921183 -0.5719910950865912 0.115899720895081
+2350 -0.8789604088266498 0.05779302487135037 0.2602176143940107
+2351 0.5391675421182213 0.2413473284557956 0.7158312877061487
+2352 0.3892959914022961 0.1388802662588759 0.2989853186986579
+2353 0.1671512167657742 -0.3581344598906235 0.1149439166516288
+2354 0.3513189261162471 0.4285458444201547 0.4689529960618487
+2355 -0.3513967094937555 -0.1450577646384512 0.1370638653018941
+2356 -0.5974540373835732 -0.05977969933486485 0.6906087649328974
+2357 -0.1325482964523836 -0.6287691039728343 0.2436318915036923
+2358 0.1917952515617314 0.6916597395920823 0.8835954421830493
+2359 -0.6330529246143992 0.6075491585915298 0.1193269840081813
+2360 0.06756066988117065 0.7824901657520568 0.5522235731033001
+2361 0.698612506932061 0.04980005306949521 0.717470787539328
+2362 -0.009187454992049676 -0.551415565099331 0.3273578635910566
+2363 0.7232866784927818 0.1353541724390264 0.4863130257853776
+2364 -0.06595677112407859 0.02555828683161531 0.3457751356063658
+2365 0.7956166108275354 -0.333200945626086 0.5548065902094644
+2366 0.1729706741704808 -0.6757872936345291 0.1053058864963726
+2367 -0.7178850837771031 0.512551654040256 0.7285247996640138
+2368 -0.6969513956752189 -0.1366488526729163 0.4369874837445226
+2369 -0.1450926482975545 -0.1632937243396614 0.4104519280590921
+2370 0.4518296353846791 0.05390498012484093 0.7822314163031161
+2371 -0.1767444690998057 0.7157690161410489 0.733573179916196
+2372 0.1145569125389477 0.5927352460418428 0.5493706476292187
+2373 0.3015911955659955 0.07085109470261591 0.498380343503586
+2374 0.584799329962529 -0.2558640549791161 0.8839594110236579
+2375 0.2440983225815901 0.8321692492361912 0.6998417977271842
+2376 0.008676699413781221 0.1922692337419056 0.251057676302273
+2377 0.09986632115107058 0.7199684469891652 0.3630731185764738
+2378 0.4258639543914774 0.7535638312336956 0.4491979144744877
+2379 0.4102887080235374 0.7773757603123107 0.8830553182740463
+2380 -0.6570752876172866 0.2301293649843746 0.2887693992858603
+2381 0.06281449872851401 -0.111305402757612 0.8898672934999707
+2382 0.2497886723203865 -0.804518886331922 0.5690536392090707
+2383 0.3667674744820123 -0.5888428398174127 0.8727292987286249
+2384 -0.6491716578288269 -0.5983654501161236 0.427526243809884
+2385 0.7142563548047179 -0.05405475680806619 0.56148258012593
+2386 -0.4692126262650984 -0.1906598236834432 0.6079369715097067
+2387 -0.165350744629738 -0.4658533171618945 0.8839049523859497
+2388 -0.00203611325756612 -0.1581685604507499 0.601828464627138
+2389 0.363338797295406 -0.5093137697696232 0.3695637020961671
+2390 -0.879368004387524 0.1674245137700446 0.6176118543257719
+2391 -0.5253093697390868 0.1016727486907353 0.2653953239242386
+2392 0.5643590977351451 -0.02945493179778654 0.7185066966101138
+2393 -0.4030534023455305 0.7468482229607525 0.7560330915264203
+2394 -0.05350969781595893 -0.8791981019093912 0.2424317890295014
+2395 -0.5003235123498349 -0.1293684761226814 0.1380242626850928
+2396 -0.2823962769271831 0.192206656460126 0.7425656966328283
+2397 -0.05400756433641702 0.5728012059977002 0.1135092055117841
+2398 -0.1569194240605987 0.3096239321369948 0.5152914790719021
+2399 -0.4265671458098727 0.4263212471274 0.1077230073009017
+2400 -0.4667335898631721 0.7499228336359395 0.2059480009659982
+2401 0.0168043627276571 0.3147937073877183 0.4004989607929321
+2402 0.1362475547994517 -0.3122904480659182 0.5739390142152587
+2403 0.8378694913814254 0.2444287930780201 0.2879931114609292
+2404 0.5268538545457165 0.5519675654331718 0.1220457476485982
+2405 -0.3541752684817162 -0.8095210253914451 0.1005367323805687
+2406 -0.3059303272676707 -0.8291036367684971 0.2858689232245946
+2407 -0.0956344849167523 0.02624763777272202 0.1099892011747551
+2408 -0.8355304288189297 0.2849969981868482 0.7786997175527066
+2409 0.5117954485097618 0.04971787738166206 0.1191445498307176
+2410 -0.8886560771590784 -0.04428306610507191 0.5030357868732783
+2411 0.1641351805311174 -0.3266035949303079 0.6929428052026156
+2412 -0.4019108761728868 -0.376206691813639 0.2330153016286595
+2413 -0.19253856698177 -0.05873531275601131 0.6345540196672956
+2414 -0.7986767759779391 -0.3559955447908391 0.7170917276033694
+2415 -0.3040084074753846 0.554828675608496 0.7756343917376525
+2416 -0.08841285328222195 -0.8842467546987015 0.4886654150639232
+2417 -0.4214742872825706 0.3786380255460943 0.2252825993625888
+2418 0.07323863756976388 -0.3541254550338565 0.4265429516097272
+2419 -0.8857883421615029 0.09425025165115597 0.8942104162820096
+2420 0.12819380706919 -0.4157863220830732 0.8825046044279785
+2421 0.3921512699707084 -0.7862573287597224 0.4475674983668408
+2422 -0.8864723922235244 -0.1726793098687508 0.1012380834523817
+2423 0.4950005518426009 -0.1516580621437496 0.30781427782274
+2424 -0.243075719294489 -0.8567832708911585 0.1415670500428222
+2425 0.05274733996351354 0.884210616931756 0.6423761537645065
+2426 0.7081573077296356 0.1477606077299298 0.3112158416495013
+2427 -0.4452376642109293 0.3108914809167726 0.5764310012484809
+2428 0.5363824956927603 -0.5048027974342516 0.5584307234879031
+2429 0.353206615773795 -0.03573375198971941 0.6896887579106838
+2430 -0.1493219112810019 0.4684994082723853 0.3058920056320914
+2431 0.5067414500914375 0.08280340869937342 0.3712738821688081
+2432 0.4983317632081675 0.5871953798631295 0.5086358837808352
+2433 -0.2935538764577099 0.6455145231532105 0.2809084813828673
+2434 -0.7273353879495315 -0.02002580878198109 0.7753594436821177
+2435 -0.7235391937661055 0.02820105734613464 0.88297879965541
+2436 0.3825114231718587 0.7916464634311919 0.2490553155892782
+2437 -0.1811792491691644 0.1575944289684879 0.3118208342135301
+2438 -0.4893648739236516 0.2008429353134445 0.1108472750580403
+2439 0.6383741463351682 0.04324911171065739 0.4791634957667847
+2440 -0.4503358008766135 -0.02730383339533118 0.5923059509347892
+2441 0.09873909204297887 0.5357428498191477 0.8838105503805405
+2442 -0.5619067762803357 -0.136714929497455 0.8905324465384478
+2443 -0.01837079936018123 0.7035081070241614 0.3835564548408916
+2444 0.4711248322776101 -0.6250476826474877 0.3043215287869512
+2445 0.5897433175557163 0.4241212148437575 0.1084340557758703
+2446 -0.08740700537004643 0.3974161361500688 0.110910604675168
+2447 0.2216517578164336 0.4760164947001516 0.387335777729524
+2448 -0.4528098536314328 -0.419479892280014 0.1034904843971675
+2449 0.05147574463424176 -0.1758573597089193 0.2818534032154556
+2450 -0.1818523648389097 0.6846702278222152 0.2628642813572108
+2451 0.795137646385784 0.3919691114818719 0.4692244713423687
+2452 -0.5143594292978227 0.3698122328540038 0.5087550127193036
+2453 -0.02378845587051304 0.2785799129580526 0.8881610573358315
+2454 -0.1190983291590649 0.403342398136655 0.7043591444077335
+2455 -0.002775935685714513 0.0912922196556962 0.8886578650363737
+2456 -0.1098670533661756 0.8738973901360845 0.1126839544040316
+2457 -0.01872745901214463 0.7915210253315603 0.1148507242076042
+2458 -0.3068583310911465 -0.8320022908886323 0.5558800822071444
+2459 -0.3176019352912839 0.6328680502470627 0.6044803571556786
+2460 0.1996209859809512 -0.1775165547069238 0.5813834226631769
+2461 0.8767218441707958 -0.1603435450373664 0.4672695155537324
+2462 0.6757061787376165 -0.573941814190135 0.8814334124148904
+2463 -0.4875183359680914 0.2986360902817211 0.7582835204172437
+2464 -0.03503736920007293 -0.7698373914386625 0.1123330312666939
+2465 0.3239910735242452 -0.3257625998987519 0.4618755447357054
+2466 0.470886053371064 -0.1270324973939585 0.4756308818135214
+2467 -0.2091331631349347 0.7150639398226148 0.882939014365508
+2468 0.3990299430482901 -0.3997337702822519 0.09914230070784046
+2469 -0.5012188830680787 0.7335156457494176 0.8908085243590651
+2470 0.003848836637312544 -0.216537633662662 0.6959571879569335
+2471 0.1131339565504012 0.3859002936317977 0.5204185849363737
+2472 -0.5888828069896608 0.4488495386717333 0.1090059415425738
+2473 -0.6182660230345787 0.4421785141287889 0.5146362055742719
+2474 -0.2045629512271269 -0.6554492666580279 0.788036609193652
+2475 -0.07369557385925962 0.6364066549149463 0.8801437939171468
+2476 0.1911863115688246 0.2125257812440618 0.6080718297096164
+2477 0.8709048824008795 -0.1437495302845862 0.1195144415317429
+2478 -0.7559330325688134 -0.104108997553393 0.2564912382521813
+2479 0.04853344471661854 -0.4670617003498217 0.6236155582441149
+2480 0.2074549457663429 -0.4481085470601496 0.533855350391638
+2481 -0.5026286269380249 0.5592997903583453 0.2362335032334361
+2482 -0.2599670017132745 -0.01627930629665848 0.3129232932507764
+2483 0.4739010821014409 -0.384807313737397 0.2740106320951823
+2484 -0.04804731393886176 0.7637606242255439 0.892373515514349
+2485 0.2873892026654858 0.7684493056188395 0.8947196027460499
+2486 0.602760514925576 -0.3261898845380847 0.4367597523105626
+2487 0.5084618433985454 0.031533128957732 0.5129687128647857
+2488 -0.8588203985831578 -0.2289370480114645 0.2630802379819829
+2489 0.2968228566192395 -0.4913974444873186 0.09903750671263219
+2490 0.5031158898010433 -0.05260613820143356 0.2365579889137608
+2491 -0.8360669562832218 -0.2768045825616382 0.4661177155800343
+2492 0.2964091490060959 -0.7009294093468018 0.3623566726560092
+2493 0.1296209587705252 -0.003375223467947483 0.872232017301816
+2494 0.1889881507659373 -0.8663738013578975 0.1039594558966887
+2495 0.2111068529131338 -0.854830058110275 0.2276312599948431
+2496 -0.4874281790048631 0.5392023813852088 0.6440456301570453
+2497 -0.04555507823656343 0.8885726552611327 0.7129149470975077
+2498 0.7419952613625633 0.4925290912602127 0.1165335476906518
+2499 0.6783636692149424 -0.3375476393846231 0.8838839216746504
+2500 -0.7089992172148539 0.1221354935867291 0.7900450228341437
+2501 0.5377967611247878 0.7100137323814657 0.2496423803562592
+2502 0.3029480416455027 0.6788133186042661 0.245721224466241
+2503 -0.8782523081640018 -0.1112641676947825 0.2367804314054446
+2504 0.06393872488865035 0.09499034438053879 0.4604847267735397
+2505 -0.6172927195811451 -0.1645512636263438 0.5140214823709259
+2506 0.03973754380982453 0.5104738033013606 0.4928730782999851
+2507 -0.5613050686058438 0.1289968699402654 0.8922713433383548
+2508 0.2147299506440449 0.8569453331627017 0.2394964206150056
+2509 -0.5697293392797402 -0.3906132163732456 0.5817916286969457
+2510 0.3996759559028488 -0.2742151440180576 0.6132878982951655
+2511 0.1834329879367775 -0.6098979520660582 0.7395999174902119
+2512 0.2543166337323283 0.2094003572360646 0.8807876800425103
+2513 0.5200739115614024 0.5828771878317536 0.8794385204502011
+2514 0.4132016332162179 -0.7818911324564904 0.2128760980827269
+2515 0.1904768425396144 0.3722099199832721 0.7747487630979676
+2516 -0.5616276625945364 -0.3084654180516521 0.09928056456642367
+2517 0.2892190805005238 -0.2147118853972362 0.2658532505645884
+2518 -0.4254230269705039 -0.7769822271743112 0.6079404865495407
+2519 -0.03004934973551317 -0.2599616644644586 0.291073801737881
+2520 -0.003007918405555896 0.1447896474729849 0.73853857261023
+2521 -0.006348030483308995 0.2559658825345344 0.7707664329257755
+2522 -0.8669537149986938 -0.1474931120090087 0.7119801948636928
+2523 0.882034528640579 -0.06491639713515401 0.3191452186667358
+2524 -0.3355728541825816 0.2917556603669511 0.4155789458479573
+2525 0.3089270972551666 0.5133032877852798 0.1031662127190415
+2526 -0.1350834257185179 0.6228709002712287 0.6544763974803552
+2527 -0.1772612045493558 0.1657625738449891 0.5008014423832123
+2528 0.07018456905330597 0.09865689055634161 0.2467448365072835
+2529 0.8291350990739219 0.2699307733243039 0.7216009346769817
+2530 -0.3023983196602176 0.8272831562813943 0.2390634322611931
+2531 0.4187906168829776 -0.3948201840526644 0.8896378107866053
+2532 0.575908122455379 0.477424397939877 0.3982378798416173
+2533 -0.2469262469680668 0.6958523014740117 0.1117522019013327
+2534 0.5642808990330335 -0.25200584459265 0.7630866585772939
+2535 -0.5089170328815675 -0.5499041421731367 0.2601674754265469
+2536 -0.2455171633272462 0.8555782262973937 0.390064471335517
+2537 0.007699149380494194 -0.7513592907748177 0.531177985980344
+2538 -0.161329406405158 0.5094496066661864 0.5430628400466672
+2539 0.5087895337153292 0.3464891642073728 0.1086108905307392
+2540 -0.1954024557718877 -0.3634261145269481 0.6339685439325832
+2541 -0.3611021609781164 -0.6431656597728355 0.3345507978864249
+2542 0.5122047492329667 -0.7299480156565565 0.2732436355406324
+2543 -0.2521706656494656 -0.8597987800718969 0.3898145054302403
+2544 -0.7225997069689258 -0.3095035944462682 0.6339320584819538
+2545 0.6332229040224423 -0.237892732098394 0.2479466577674689
+2546 -0.291383578972558 0.540126427916544 0.4798079974297886
+2547 0.4290463710221349 0.4059858949731578 0.3891521132986357
+2548 -0.3208855129477575 -0.5526964820642521 0.5181736873818297
+2549 -0.391085789262177 -0.2718917761379797 0.5390981035287921
+2550 -0.1833653901057402 -0.09872011734577109 0.770101097473574
+2551 -0.4770091512402195 -0.2726330381694806 0.8893528125992531
+2552 -0.3079214537526105 -0.5570934965130572 0.7507926767166527
+2553 0.7230367440601743 -0.4998453196098889 0.7114952541348297
+2554 -0.6053798938047379 -0.1157112879095977 0.1066975445060101
+2555 0.2542938055554272 0.8468148389558936 0.4279732961647983
+2556 -0.2548121797456158 -0.7073133557502298 0.09895427142396829
+2557 0.6697578449041509 0.3558955344423672 0.885212147971733
+2558 0.4616283895483467 -0.434240230050553 0.7535844981314372
+2559 -0.4400233109991064 -0.6233999919192589 0.1073738715572165
+2560 -0.784332062151444 0.436950699525711 0.09982623544229853
+2561 0.0647973811570315 -0.8788987653955854 0.2664274434623258
+2562 0.6017505638686036 -0.6549587986273882 0.5105698499190133
+2563 -0.4366787849908607 -0.5919164037330112 0.889801595651352
+2564 -0.723919441842907 -0.5158006246033562 0.2236742820393364
+2565 -0.6550280610590411 -0.6008017075410099 0.2708231333618534
+2566 0.3096039720847623 -0.1228849012541036 0.5248362932809629
+2567 0.6995431797971856 0.2288366283252796 0.1172022242139224
+2568 0.09769037102288426 -0.2711335493697446 0.2134372795952932
+2569 -0.6182224198868103 0.6422310294407805 0.2307673007388992
+2570 -0.738487631969637 -0.443685725051534 0.4482350855488578
+2571 0.3488660028615877 -0.2943147714982924 0.1058689747729894
+2572 -0.209652096316633 0.3068137972731548 0.6170920471604068
+2573 -0.4417534343667359 0.1833500437556298 0.7563373420671073
+2574 -0.06747346652334006 0.2660486999160939 0.09889790146966962
+2575 -0.3299314252854185 -0.2019454894343535 0.325495477534203
+2576 0.4674453312277652 -0.7564195924191854 0.1106258173068412
+2577 0.223937448304072 0.6452046366045268 0.5314185364857735
+2578 -0.425886090328969 -0.4742718632513516 0.4152795385652336
+2579 -0.4038496012189864 0.4120969109533091 0.8969718158781158
+2580 -0.413655947921548 0.4936258253045973 0.2601975109423696
+2581 -0.4236284995174571 -0.7828023367774503 0.89571028094813
+2582 -0.5191217201886807 -0.7114016520536517 0.8911110651591082
+2583 0.09309850932900822 -0.02838090575816707 0.4966628544298603
+2584 -0.489532532086967 -0.7402321567384103 0.3858708884396322
+2585 0.5921704073774945 0.6678169576811358 0.3425165980632546
+2586 -0.6625650708845405 -0.2846736415869186 0.8959011435727003
+2587 -0.78187821684589 0.4183994959531993 0.5847721000407595
+2588 0.7254306884172818 -0.5041120611329445 0.4061240328569324
+2589 0.8759352613708804 -0.2081717563642994 0.6063775766696515
+2590 0.2438858533707597 -0.05491348082296049 0.2641331914404029
+2591 0.4082566343940906 -0.7724323545733796 0.7347137125648763
+2592 0.6947873039857629 -0.1673738814728995 0.7536218567553555
+2593 -0.1369517376751909 -0.03419698923155866 0.2866842092156138
+2594 -0.5726160298004894 -0.6771512162658998 0.5812416454472507
+2595 -0.7232524833476753 0.05819507227948622 0.3769932933364464
+2596 0.6837981720102936 0.5631209997017397 0.7760329674290461
+2597 0.2511199428469903 0.4013662326634814 0.2504749721750842
+2598 0.3129504488876063 0.5401172640482085 0.6312352774831755
+2599 -0.2005847223363157 0.1457617639280374 0.6936435067783194
+2600 -0.5911552807949726 -0.2099476766374637 0.6380790119445637
+2601 -0.3019635103594555 -0.5290831430141028 0.1020749423188019
+2602 -0.05298472088125201 0.1961310337499131 0.5538402208911405
+2603 -0.5271318183677934 -0.7135540010610876 0.7205482459938517
+2604 -0.5808254041688178 -0.071511511205712 0.3069551962144179
+2605 0.1323764867779196 -0.06468461257421573 0.1052034996118172
+2606 -0.757206125152561 0.03682763656852686 0.1156974484905201
+2607 0.2873200646806097 -0.3433855020725156 0.2454528145635986
+2608 0.474741316406178 0.5919103463341304 0.7535190658790611
+2609 -0.271379887284065 -0.299570463571827 0.8077324773091624
+2610 -0.506087755124234 0.7358344380149723 0.1003460606739997
+2611 0.4863819147505054 0.3078530284784853 0.315606699558305
+2612 0.6107135693530491 -0.4203186846637483 0.1139705660606372
+2613 -0.2425269448086131 -0.6677224510151704 0.2130186183669994
+2614 0.2159424917716579 0.02627157356574542 0.1037228713592421
+2615 0.6147817731196773 0.2215321177440378 0.8845073138141573
+2616 0.5808079342827133 -0.1043244441341208 0.6179179662761088
+2617 -0.5572847926091142 -0.2945673664584039 0.7607807138222233
+2618 -0.5748797505143709 0.4644199408491273 0.281198930411634
+2619 -0.1663359434270382 -0.7153980256170649 0.6996961901295675
+2620 -0.05032210954775818 -0.6059380359757964 0.890124077422078
+2621 -0.2617381683874551 -0.4784335424759031 0.2308586955635772
+2622 -0.579304985576731 -0.3610776396674364 0.2312552398430962
+2623 0.1207871033333984 -0.2190756436367004 0.4160501792447626
+2624 -0.2229280332680169 -0.3041435229215698 0.0983976379149529
+2625 -0.001574460490601066 -0.7095721141418593 0.7544551897391668
+2626 -0.8224696847700474 -0.2615755758774378 0.102799342317159
+2627 -0.1461988127123881 -0.5105403407414539 0.7003007356898977
+2628 0.8714709067845736 0.1296394036919866 0.2460890147559627
+2629 -0.4057995180886253 -0.2313946245966914 0.766895372710205
+2630 -0.457302197296062 0.4317671362800658 0.441601933763106
+2631 0.5643643359090262 0.6918763977921992 0.8974947645493992
+2632 -0.2451512552986652 0.3053120686702104 0.2050032346494221
+2633 0.3660521968366084 -0.02823071951550601 0.3882787246849254
+2634 0.6750170986765336 0.3643344779636927 0.5938155517347027
+2635 0.2711526209055622 0.7280258920243978 0.08814329418311569
+2636 0.3924511465244184 -0.6330202320298146 0.6070850754203231
+2637 0.8658638203928881 -0.1907233714432234 0.2923105397222592
+2638 0.05144298102831747 0.8927894464762809 0.5326909531147999
+2639 0.4391136243117207 0.2583441263236453 0.1073629919119828
+2640 -0.2438770236705515 -0.7032529486956579 0.8945559861363259
+2641 0.4551173852065793 -0.1131695838091858 0.09802637369869205
+2642 -0.4012764373475455 -0.8053799114947462 0.2151298056541475
+2643 0.1994017548560858 0.6915605177827135 0.4133916199934797
+2644 0.7758991588111851 -0.1519862233734701 0.6723406932814285
+2645 0.08077499733770205 0.7536793173743566 0.1004301182673219
+2646 -0.5578658674846135 -0.323075314521216 0.4995548904293887
+2647 0.3245706545382808 0.2558558552111191 0.1111951824655994
+2648 -0.3563088054250421 -0.4708383535787716 0.6374716434980116
+2649 0.2626529141856742 0.829128731585233 0.5873562905557884
+2650 0.5064107328691939 -0.4034896041579354 0.4466218772638458
+2651 -0.3392363803663895 0.132622273246289 0.5545329982415291
+2652 -0.3443519187116847 0.4133589764974957 0.5144472002515382
+2653 0.03411173219002796 0.4372472863440373 0.2399875029932002
+2654 -0.3551031885147138 0.326660627595146 0.7579573658798437
+2655 -0.2525416921561439 0.5364002674060291 0.8930210177317617
+2656 -0.1153289648754076 -0.4662823224759736 0.5042964764777043
+2657 -0.2030220031293484 0.004006105402380739 0.09799513574600545
+2658 -0.2817545139917917 0.8258803121231675 0.1153835019539469
+2659 0.4199526023828158 0.587774625532263 0.6079903992515914
+2660 -0.5085512690698959 -0.3922992259452955 0.411742724460651
+2661 -0.438715185638609 0.6476251646994405 0.09590491489781729
+2662 -0.3472028516994275 0.04707419253986515 0.1356069711559634
+2663 -0.4868821086410061 0.7398528541035844 0.653375322540017
+2664 0.1551780629119699 0.003282214815383953 0.7564590334623713
+2665 0.5397428380028427 0.1990379331263948 0.6066096644246246
+2666 0.242059746163027 0.8670567714858912 0.8990904401732163
+2667 0.4180773219326407 -0.1009221180577344 0.8803530259368274
+2668 0.269307734480321 -0.4698179025328256 0.8918292565408499
+2669 0.3567360255603695 0.06747808526500322 0.1154546903914205
+2670 0.8895149414726439 -0.03348086984380472 0.7790329002360117
+2671 0.3800160740105075 0.2805668516261653 0.2188603827359538
+2672 -0.6260267442400194 0.6417660086209518 0.3974913010447338
+2673 0.1346654760437819 -0.5186963791215512 0.4188234037515086
+2674 0.395859169801976 0.4509204103043477 0.0977916245570512
+2675 -0.3163974503892316 -0.09949426787326979 0.4805183639245167
+2676 -0.06732984938078414 0.2831514876435958 0.2138882566929688
+2677 0.6360397375937603 0.6373459922125055 0.6509452359839447
+2678 -0.466149285480804 0.1552954175238831 0.4887689731407261
+2679 0.3879403129091484 -0.5896116506446959 0.1100505122012602
+2680 0.03289853351017819 -0.4807571255053748 0.25084935499793
+2681 -0.1916399299516419 -0.5696138126881899 0.3934493912855079
+2682 -0.04128784540925555 0.5398064087219996 0.3360576784621332
+2683 0.08719601315237585 -0.6145804871114879 0.08822924147259928
+2684 0.7689185286278424 0.4691737955067349 0.6476871753157515
+2685 0.7184002436389274 0.05717960909467794 0.1178838443889103
+2686 -0.7489255161757468 0.1344264078083676 0.8912988513299557
+2687 -0.05643140163716723 0.9024690955105321 0.3680123634384479
+2688 -0.09663112594287801 0.3824834931056824 0.4696348349023493
+2689 0.5712121540804317 -0.4225163363316933 0.2244009667076065
+2690 0.8004977275089136 0.3822323221999981 0.7459473192437053
+2691 0.2329644090112173 -0.1824890661227578 0.1103298539624747
+2692 0.888002814352288 0.1729781467725739 0.1024249776829458
+2693 0.01314630745688111 0.6163428805938391 0.5232583481660241
+2694 -0.762601581707566 0.2024499426666165 0.112313983702205
+2695 0.4970430305518053 -0.7303881313211116 0.4582060260446065
+2696 -0.213262676897057 -0.8606157053233429 0.8823108250411829
+2697 -0.5778553217386651 0.5259529228660395 0.5792140176582888
+2698 -0.3108702874898938 0.2299402215248105 0.2782818643210345
+2699 0.2511903099790659 0.1609426822520741 0.2407011040120151
+2700 0.1132135061898425 -0.6550521542504291 0.5112605031211084
+2701 0.2255921947553513 0.2291522900216613 0.4093911116842354
+2702 0.6056686042137897 0.471173960068243 0.2921120249538366
+2703 0.0862659078465732 -0.1664070970206582 0.7655371029288686
+2704 0.06570370704115491 -0.06291126836442482 0.7923775081994078
+2705 0.03375465535935168 0.7661527217139852 0.2851679462638912
+2706 -0.3647813601355001 0.6504243836999961 0.36917273853153
+2707 -0.1637698466053739 0.03426317338119761 0.6663861291782547
+2708 0.3598550981535448 -0.4428967583137738 0.6944673783133026
+2709 -0.1269530283720805 -0.8802456643423494 0.3776185637867593
+2710 -0.5002272491683735 -0.5711667199828008 0.6044836791728113
+2711 0.336569448763303 0.398552995582438 0.9025578171220868
+2712 0.01289814877936179 0.3915589569846867 0.7645746598674891
+2713 -0.5098349356779105 -0.7584050777674369 0.08552999955340179
+2714 0.3259504558393205 0.8227408239774477 0.09603226802366287
+2715 0.275134078709776 -0.8524759641953824 0.8419872570267221
+2716 -0.7366977846397879 -0.2239381943976016 0.7535950322636369
+2717 0.3235799890772134 0.7053313424741134 0.4939284545061087
+2718 0.677019497906002 0.3099457186663286 0.7651287048637493
+2719 -0.2354725581861989 -0.7364173626275784 0.5268074671444285
+2720 0.5703512899331553 -0.4193709886639656 0.8949305415798446
+2721 -0.436539255382153 -0.07404403984061328 0.906145319983828
+2722 0.8552620982782887 0.2490459649454856 0.8914741565304435
+2723 -0.596718890325823 0.3109209291248416 0.5438338332484054
+2724 -0.6758573541989417 0.2952463346133908 0.8677629936243426
+2725 -0.6591399771315507 0.6117624329118451 0.7456220881491686
+2726 -0.3520101372331587 -0.4043780007276736 0.3472653224057731
+2727 -0.1189322850543659 0.5940489533096465 0.2026239083315117
+2728 -0.7526732740877145 0.1898561732694159 0.4664618275919712
+2729 0.3760381683884613 0.3914174449231309 0.6578051267997592
+2730 -0.4493054666813369 -0.4099509643614628 0.8588540480616206
+2731 0.6505720138676674 -0.05183643608039683 0.4109950789798921
+2732 0.09829840606935503 0.8970681726540619 0.2344745287434672
+2733 -0.8753923265625 -0.1814579785904429 0.5904155960730999
+2734 0.1208730699810087 -0.8836180328689923 0.5554902197691722
+2735 -0.5374108848419712 -0.1480819408260176 0.2403141269571556
+2736 0.359291187840201 0.7076900465885975 0.7383565120547232
+2737 -0.1302981480587542 0.2125452523678631 0.9074437454001074
+2738 0.2713358983889495 -0.6989448569041355 0.519386211742023
+2739 -0.2707010010566251 -0.06200191656382333 0.704630479587389
+2740 0.09329715773588455 -0.5274349329785376 0.8972346003123833
+2741 -0.06944770046791612 -0.1304193245816994 0.1011386673316015
+2742 0.780501096271072 -0.05281428486677338 0.7320223430605619
+2743 -0.4551687980208692 0.3510887234049764 0.6722130286870545
+2744 0.2910374803442637 0.4055584536279282 0.1065273032633818
+2745 -0.7499614750618664 0.1674292411108543 0.3068815939144517
+2746 -0.1974418940369631 0.3650316758385445 0.7682491045898806
+2747 -0.09465689103362129 -0.2491232162283457 0.7948321804359284
+2748 -0.1101377726291212 -0.4476594943302786 0.2310283604324495
+2749 -0.3360393278131123 0.6512033048820108 0.737907452843138
+2750 0.09666731980259777 0.3720650458885345 0.3573932704762078
+2751 -0.1170273722894151 -0.0805534606246163 0.904614389616281
+2752 -0.6314493885952007 0.01018710391329276 0.1074581898139493
+2753 -0.2142999492316697 0.7131797028817271 0.4666845924544723
+2754 0.6029612443129184 0.1313871964402023 0.7421339185885835
+2755 -0.2247298623239496 -0.5002476574042893 0.7970985048794021
+2756 -0.4838929512217104 0.2910548453100723 0.237694267009467
+2757 -0.4207634318914664 -0.4913933909188922 0.2544175580962655
+2758 0.5575754497189873 -0.1195256871302004 0.3995385414359571
+2759 -0.4715302076764349 0.5974586219738349 0.5098347544785781
+2760 -0.08078210666619394 -0.4623580677785397 0.7816107399142964
+2761 -0.8347376009227776 0.3150460213396254 0.2783572953620059
+2762 0.3986787133964944 0.4684204518826837 0.2825658792773656
+2763 -0.1696839949676694 -0.3713874975817907 0.9122568581291347
+2764 -0.09168267741480797 -0.7724654322067276 0.3475844069825731
+2765 0.2528630910153704 -0.07740471613460324 0.73073294465983
+2766 -0.7692559356576966 0.4529976383412773 0.4796364366343713
+2767 -0.2573152750350499 -0.2330107018864605 0.9131069860070462
+2768 -0.2952135095221115 -0.7227715826003267 0.2879822158139811
+2769 -0.6688247369294467 -0.6007728954488241 0.5970382311145018
+2770 -0.243927859125309 -0.04190881250008165 0.9150244750767835
+2771 0.5503556164472635 -0.5193853460492698 0.3807400289116654
+2772 0.3782750943110922 0.6684918349039901 0.3298828083520987
+2773 0.1874712826062991 0.7514219307277605 0.2399392703626354
+2774 -0.1721266855090343 -0.3198183380564648 0.4288652450831087
+2775 0.7834841570873495 -0.4003053130235198 0.8877450047013137
+2776 0.1914712552681572 0.6007416584143546 0.09637049910266662
+2777 -0.9060680703379456 -0.0173606373763654 0.6433894158103659
+2778 0.6298823514726354 -0.4375438832545945 0.5717941592435022
+2779 -0.1743568638998892 -0.1683409248902435 0.2056710090447126
+2780 0.4022955382948182 0.6253393369554284 0.8947480752918366
+2781 0.086142609978511 -0.5317440909199276 0.7568605048802571
+2782 -0.4567624705470465 0.4616986879502336 0.7119559164933371
+2783 0.4208729547618593 0.1818714967783909 0.7073824202919149
+2784 0.7609336359710546 0.1105250771162853 0.6437686888452088
+2785 -0.6287274254799198 -0.4841134696106401 0.9000175633806914
+2786 -0.4027378585896876 0.7995193313456087 0.4418776448655482
+2787 0.3477642344230998 0.4759346382000128 0.7164476781617185
+2788 0.3685573553516663 -0.2553667984818948 0.8850492109734684
+2789 -0.7421854204898259 -0.2232844341155629 0.2526812285961456
+2790 -0.6912082578375865 0.09035325940902665 0.5945808587675997
+2791 -0.5224257059248865 -0.02548984442540156 0.1058518913299535
+2792 -0.4876412221508531 -0.3401339571603062 0.2731502106225239
+2793 0.6932359580617647 -0.0333970626563528 0.2399442662545579
+2794 0.2846065651182142 -0.2682246219006252 0.6599355443818093
+2795 -0.005352757179196281 -0.4269410375701688 0.09906141895868803
+2796 0.003944034522816595 0.04017580376388349 0.5252831424572694
+2797 -0.4245296739304524 -0.2767210976433927 0.2231246068635061
+2798 -0.2471291110575329 0.2266370248597099 0.5590245740608913
+2799 -0.09414102262281829 -0.1804362106790681 0.3191737138165838
+2800 -0.007854117766265253 -0.5899876788200353 0.6193881340623264
+2801 0.3855049081453676 0.3883864566345009 0.767671343989018
+2802 -0.162342282456459 0.7366293102724563 0.3587075751221185
+2803 0.6928838453856316 -0.5654317936046607 0.1123397827950603
+2804 -0.8574363820090095 -0.2471646317609797 0.769966168978098
+2805 -0.2967424661467359 -0.3787585662497117 0.2102605278071486
+2806 -0.1407532101590606 -0.1249848057491311 0.5034249552323244
+2807 -0.07897942929178468 0.1235359517237296 0.2545207795112631
+2808 -0.2121393431959094 0.3047849527517457 0.406749706212715
+2809 -0.1144759336638732 0.2861263819132565 0.3942107134631006
+2810 -0.2628370492713896 -0.6964350513533664 0.6548344152468893
+2811 -0.0944948333818672 0.5875202933299704 0.7790616367985608
+2812 -0.5923623791511552 0.6818713112844196 0.8968133187913846
+2813 -0.2325235394750925 0.03236338240474376 0.5619798860008405
+2814 -0.1810503883827107 -0.776742010499108 0.4090591539135189
+2815 0.09111999169808251 0.6381896527074973 0.09120953806387988
+2816 0.6625652672911277 0.3546193240360329 0.3329251491633921
+2817 -0.62225264315803 -0.4985905383955416 0.4600418634518151
+2818 -0.8041433008326441 -0.1079708716439496 0.09094470897325618
+2819 -0.1645851301619969 0.5952318516651226 0.10507248608382
+2820 -0.3472795195568447 0.07316236216439009 0.6326048913930064
+2821 0.5536913972332854 -0.2210481014728385 0.1080303460741374
+2822 0.7428438172533491 0.05101893237773437 0.8986758332440437
+2823 -0.583243494484373 0.2134127966735014 0.3768798327528745
+2824 -0.3104491155103756 -0.05068781028035571 0.09310031690363779
+2825 0.02201325749799555 -0.220831389452721 0.903778214386423
+2826 0.5618896323403307 -0.1137154385070451 0.1123696933009117
+2827 -0.5024065362775453 0.3795930695280547 0.2885501261841266
+2828 -0.3860553914860895 -0.6282445028390896 0.5471746798272327
+2829 0.3309325598072628 0.1624290583274472 0.435835521292628
+2830 -0.9009853543488063 0.05962833902407472 0.1044975561001578
+2831 -0.3838900033737878 0.1711799297946658 0.6489523436632283
+2832 0.2416004794829591 -0.5694041074716236 0.254629630415913
+2833 -0.09461699034348303 -0.6529214456387157 0.7746450051945836
+2834 0.5419616828572633 -0.139555986614364 0.7348672354010028
+2835 0.5459504158901097 0.08336987814944558 0.8955499643340876
+2836 0.4585493874620855 -0.2114935187608128 0.4054490234364467
+2837 0.1063101111640002 0.6064938689654608 0.3727289359191031
+2838 0.1531048749679534 -0.04973378848432432 0.3477780718957869
+2839 0.08950791688861059 -0.5396929673732229 0.5517151698033739
+$EndNodes
+$Elements
+16042
+1 15 2 0 1 1
+2 15 2 0 2 2
+3 15 2 0 3 3
+4 15 2 0 4 4
+5 15 2 0 5 5
+6 15 2 0 6 6
+7 15 2 0 7 7
+8 15 2 0 8 8
+9 15 2 0 13 9
+10 15 2 0 18 10
+11 1 2 0 1 3 11
+12 1 2 0 1 11 12
+13 1 2 0 1 12 13
+14 1 2 0 1 13 14
+15 1 2 0 1 14 15
+16 1 2 0 1 15 16
+17 1 2 0 1 16 17
+18 1 2 0 1 17 18
+19 1 2 0 1 18 19
+20 1 2 0 1 19 20
+21 1 2 0 1 20 21
+22 1 2 0 1 21 22
+23 1 2 0 1 22 23
+24 1 2 0 1 23 24
+25 1 2 0 1 24 25
+26 1 2 0 1 25 2
+27 1 2 0 2 2 26
+28 1 2 0 2 26 27
+29 1 2 0 2 27 28
+30 1 2 0 2 28 29
+31 1 2 0 2 29 30
+32 1 2 0 2 30 31
+33 1 2 0 2 31 32
+34 1 2 0 2 32 33
+35 1 2 0 2 33 34
+36 1 2 0 2 34 35
+37 1 2 0 2 35 36
+38 1 2 0 2 36 37
+39 1 2 0 2 37 38
+40 1 2 0 2 38 39
+41 1 2 0 2 39 40
+42 1 2 0 2 40 4
+43 1 2 0 3 4 41
+44 1 2 0 3 41 42
+45 1 2 0 3 42 43
+46 1 2 0 3 43 44
+47 1 2 0 3 44 45
+48 1 2 0 3 45 46
+49 1 2 0 3 46 47
+50 1 2 0 3 47 48
+51 1 2 0 3 48 49
+52 1 2 0 3 49 50
+53 1 2 0 3 50 51
+54 1 2 0 3 51 52
+55 1 2 0 3 52 53
+56 1 2 0 3 53 54
+57 1 2 0 3 54 55
+58 1 2 0 3 55 5
+59 1 2 0 4 5 56
+60 1 2 0 4 56 57
+61 1 2 0 4 57 58
+62 1 2 0 4 58 59
+63 1 2 0 4 59 60
+64 1 2 0 4 60 61
+65 1 2 0 4 61 62
+66 1 2 0 4 62 63
+67 1 2 0 4 63 64
+68 1 2 0 4 64 65
+69 1 2 0 4 65 66
+70 1 2 0 4 66 67
+71 1 2 0 4 67 68
+72 1 2 0 4 68 69
+73 1 2 0 4 69 70
+74 1 2 0 4 70 3
+75 1 2 0 8 6 71
+76 1 2 0 8 71 72
+77 1 2 0 8 72 73
+78 1 2 0 8 73 74
+79 1 2 0 8 74 75
+80 1 2 0 8 75 76
+81 1 2 0 8 76 77
+82 1 2 0 8 77 78
+83 1 2 0 8 78 79
+84 1 2 0 8 79 80
+85 1 2 0 8 80 81
+86 1 2 0 8 81 82
+87 1 2 0 8 82 83
+88 1 2 0 8 83 84
+89 1 2 0 8 84 85
+90 1 2 0 8 85 8
+91 1 2 0 9 8 86
+92 1 2 0 9 86 87
+93 1 2 0 9 87 88
+94 1 2 0 9 88 89
+95 1 2 0 9 89 90
+96 1 2 0 9 90 91
+97 1 2 0 9 91 92
+98 1 2 0 9 92 93
+99 1 2 0 9 93 94
+100 1 2 0 9 94 95
+101 1 2 0 9 95 96
+102 1 2 0 9 96 97
+103 1 2 0 9 97 98
+104 1 2 0 9 98 99
+105 1 2 0 9 99 100
+106 1 2 0 9 100 9
+107 1 2 0 10 9 101
+108 1 2 0 10 101 102
+109 1 2 0 10 102 103
+110 1 2 0 10 103 104
+111 1 2 0 10 104 105
+112 1 2 0 10 105 106
+113 1 2 0 10 106 107
+114 1 2 0 10 107 108
+115 1 2 0 10 108 109
+116 1 2 0 10 109 110
+117 1 2 0 10 110 111
+118 1 2 0 10 111 112
+119 1 2 0 10 112 113
+120 1 2 0 10 113 114
+121 1 2 0 10 114 115
+122 1 2 0 10 115 10
+123 1 2 0 11 10 116
+124 1 2 0 11 116 117
+125 1 2 0 11 117 118
+126 1 2 0 11 118 119
+127 1 2 0 11 119 120
+128 1 2 0 11 120 121
+129 1 2 0 11 121 122
+130 1 2 0 11 122 123
+131 1 2 0 11 123 124
+132 1 2 0 11 124 125
+133 1 2 0 11 125 126
+134 1 2 0 11 126 127
+135 1 2 0 11 127 128
+136 1 2 0 11 128 129
+137 1 2 0 11 129 130
+138 1 2 0 11 130 6
+139 1 2 0 13 5 131
+140 1 2 0 13 131 132
+141 1 2 0 13 132 133
+142 1 2 0 13 133 134
+143 1 2 0 13 134 135
+144 1 2 0 13 135 136
+145 1 2 0 13 136 137
+146 1 2 0 13 137 138
+147 1 2 0 13 138 139
+148 1 2 0 13 139 6
+149 1 2 0 14 3 140
+150 1 2 0 14 140 141
+151 1 2 0 14 141 142
+152 1 2 0 14 142 143
+153 1 2 0 14 143 144
+154 1 2 0 14 144 145
+155 1 2 0 14 145 146
+156 1 2 0 14 146 147
+157 1 2 0 14 147 148
+158 1 2 0 14 148 8
+159 1 2 0 18 2 149
+160 1 2 0 18 149 150
+161 1 2 0 18 150 151
+162 1 2 0 18 151 152
+163 1 2 0 18 152 153
+164 1 2 0 18 153 154
+165 1 2 0 18 154 155
+166 1 2 0 18 155 156
+167 1 2 0 18 156 157
+168 1 2 0 18 157 9
+169 1 2 0 22 4 158
+170 1 2 0 22 158 159
+171 1 2 0 22 159 160
+172 1 2 0 22 160 161
+173 1 2 0 22 161 162
+174 1 2 0 22 162 163
+175 1 2 0 22 163 164
+176 1 2 0 22 164 165
+177 1 2 0 22 165 166
+178 1 2 0 22 166 10
+179 2 2 0 6 527 25 2
+180 2 2 0 6 26 495 2
+181 2 2 0 6 495 527 2
+182 2 2 0 6 3 11 487
+183 2 2 0 6 198 70 3
+184 2 2 0 6 487 198 3
+185 2 2 0 6 502 40 4
+186 2 2 0 6 41 482 4
+187 2 2 0 6 482 502 4
+188 2 2 0 6 5 268 55
+189 2 2 0 6 174 5 56
+190 2 2 0 6 268 5 174
+191 2 2 0 6 12 269 11
+192 2 2 0 6 487 11 269
+193 2 2 0 6 501 12 13
+194 2 2 0 6 12 501 269
+195 2 2 0 6 14 263 13
+196 2 2 0 6 501 13 263
+197 2 2 0 6 459 14 15
+198 2 2 0 6 263 14 459
+199 2 2 0 6 465 15 16
+200 2 2 0 6 459 15 465
+201 2 2 0 6 16 17 231
+202 2 2 0 6 231 465 16
+203 2 2 0 6 18 468 17
+204 2 2 0 6 468 231 17
+205 2 2 0 6 19 191 18
+206 2 2 0 6 468 18 191
+207 2 2 0 6 20 281 19
+208 2 2 0 6 281 191 19
+209 2 2 0 6 21 195 20
+210 2 2 0 6 195 281 20
+211 2 2 0 6 22 277 21
+212 2 2 0 6 21 277 195
+213 2 2 0 6 23 464 22
+214 2 2 0 6 464 277 22
+215 2 2 0 6 23 24 257
+216 2 2 0 6 257 464 23
+217 2 2 0 6 25 196 24
+218 2 2 0 6 24 196 257
+219 2 2 0 6 25 527 196
+220 2 2 0 6 26 27 503
+221 2 2 0 6 495 26 503
+222 2 2 0 6 28 526 27
+223 2 2 0 6 526 522 27
+224 2 2 0 6 27 522 503
+225 2 2 0 6 29 282 28
+226 2 2 0 6 28 282 526
+227 2 2 0 6 276 29 30
+228 2 2 0 6 276 282 29
+229 2 2 0 6 31 287 30
+230 2 2 0 6 30 287 276
+231 2 2 0 6 32 479 31
+232 2 2 0 6 479 287 31
+233 2 2 0 6 273 32 33
+234 2 2 0 6 479 32 273
+235 2 2 0 6 34 285 33
+236 2 2 0 6 33 285 273
+237 2 2 0 6 35 197 34
+238 2 2 0 6 197 278 34
+239 2 2 0 6 285 34 278
+240 2 2 0 6 36 197 35
+241 2 2 0 6 271 36 37
+242 2 2 0 6 271 197 36
+243 2 2 0 6 38 434 37
+244 2 2 0 6 37 173 271
+245 2 2 0 6 173 37 434
+246 2 2 0 6 434 38 39
+247 2 2 0 6 40 244 39
+248 2 2 0 6 434 39 244
+249 2 2 0 6 502 244 40
+250 2 2 0 6 41 42 488
+251 2 2 0 6 488 482 41
+252 2 2 0 6 476 42 43
+253 2 2 0 6 488 42 476
+254 2 2 0 6 44 435 43
+255 2 2 0 6 435 476 43
+256 2 2 0 6 432 44 45
+257 2 2 0 6 435 44 432
+258 2 2 0 6 46 283 45
+259 2 2 0 6 432 45 283
+260 2 2 0 6 47 388 46
+261 2 2 0 6 388 283 46
+262 2 2 0 6 48 272 47
+263 2 2 0 6 47 272 388
+264 2 2 0 6 49 446 48
+265 2 2 0 6 446 272 48
+266 2 2 0 6 50 192 49
+267 2 2 0 6 446 49 192
+268 2 2 0 6 286 50 51
+269 2 2 0 6 50 286 192
+270 2 2 0 6 51 52 517
+271 2 2 0 6 286 51 517
+272 2 2 0 6 266 52 53
+273 2 2 0 6 517 52 266
+274 2 2 0 6 54 260 53
+275 2 2 0 6 53 260 266
+276 2 2 0 6 438 54 55
+277 2 2 0 6 54 438 260
+278 2 2 0 6 438 55 268
+279 2 2 0 6 275 56 57
+280 2 2 0 6 174 56 275
+281 2 2 0 6 58 279 57
+282 2 2 0 6 279 275 57
+283 2 2 0 6 189 58 59
+284 2 2 0 6 58 189 279
+285 2 2 0 6 185 59 60
+286 2 2 0 6 185 189 59
+287 2 2 0 6 525 60 61
+288 2 2 0 6 185 60 525
+289 2 2 0 6 514 61 62
+290 2 2 0 6 525 61 514
+291 2 2 0 6 63 510 62
+292 2 2 0 6 62 510 514
+293 2 2 0 6 64 515 63
+294 2 2 0 6 515 510 63
+295 2 2 0 6 451 64 65
+296 2 2 0 6 64 451 515
+297 2 2 0 6 66 493 65
+298 2 2 0 6 493 451 65
+299 2 2 0 6 67 426 66
+300 2 2 0 6 493 66 426
+301 2 2 0 6 67 68 470
+302 2 2 0 6 426 67 470
+303 2 2 0 6 69 480 68
+304 2 2 0 6 480 470 68
+305 2 2 0 6 69 70 441
+306 2 2 0 6 69 441 480
+307 2 2 0 6 70 198 441
+308 2 2 0 6 231 377 465
+309 2 2 0 6 465 377 413
+310 2 2 0 6 231 468 377
+311 2 2 0 6 413 377 234
+312 2 2 0 6 425 234 377
+313 2 2 0 6 425 377 468
+314 2 2 0 6 346 404 233
+315 2 2 0 6 346 233 326
+316 2 2 0 6 233 404 435
+317 2 2 0 6 233 432 326
+318 2 2 0 6 432 233 435
+319 2 2 0 6 413 187 465
+320 2 2 0 6 459 465 187
+321 2 2 0 6 299 328 361
+322 2 2 0 6 361 328 206
+323 2 2 0 6 361 340 205
+324 2 2 0 6 303 340 361
+325 2 2 0 6 361 205 299
+326 2 2 0 6 361 206 303
+327 2 2 0 6 193 522 526
+328 2 2 0 6 193 526 521
+329 2 2 0 6 526 282 521
+330 2 2 0 6 185 481 189
+331 2 2 0 6 279 189 486
+332 2 2 0 6 486 189 481
+333 2 2 0 6 239 376 245
+334 2 2 0 6 376 239 350
+335 2 2 0 6 239 463 230
+336 2 2 0 6 230 509 239
+337 2 2 0 6 245 436 239
+338 2 2 0 6 509 350 239
+339 2 2 0 6 463 239 436
+340 2 2 0 6 345 212 319
+341 2 2 0 6 363 212 345
+342 2 2 0 6 212 315 313
+343 2 2 0 6 313 307 212
+344 2 2 0 6 307 319 212
+345 2 2 0 6 212 363 315
+346 2 2 0 6 168 356 325
+347 2 2 0 6 356 168 333
+348 2 2 0 6 405 356 217
+349 2 2 0 6 356 381 217
+350 2 2 0 6 325 356 405
+351 2 2 0 6 356 333 381
+352 2 2 0 6 196 280 257
+353 2 2 0 6 280 505 257
+354 2 2 0 6 505 464 257
+355 2 2 0 6 334 342 357
+356 2 2 0 6 357 176 334
+357 2 2 0 6 357 342 210
+358 2 2 0 6 357 210 321
+359 2 2 0 6 321 352 357
+360 2 2 0 6 357 352 176
+361 2 2 0 6 228 518 485
+362 2 2 0 6 518 228 172
+363 2 2 0 6 518 422 485
+364 2 2 0 6 422 518 172
+365 2 2 0 6 218 406 399
+366 2 2 0 6 399 406 428
+367 2 2 0 6 497 218 399
+368 2 2 0 6 514 497 399
+369 2 2 0 6 242 514 399
+370 2 2 0 6 428 242 399
+371 2 2 0 6 333 168 320
+372 2 2 0 6 168 329 320
+373 2 2 0 6 330 168 325
+374 2 2 0 6 419 168 330
+375 2 2 0 6 168 419 329
+376 2 2 0 6 234 403 353
+377 2 2 0 6 383 353 403
+378 2 2 0 6 353 347 413
+379 2 2 0 6 353 202 347
+380 2 2 0 6 353 413 234
+381 2 2 0 6 383 202 353
+382 2 2 0 6 173 411 369
+383 2 2 0 6 173 434 411
+384 2 2 0 6 173 369 225
+385 2 2 0 6 271 173 225
+386 2 2 0 6 236 439 190
+387 2 2 0 6 259 236 190
+388 2 2 0 6 247 261 190
+389 2 2 0 6 190 440 247
+390 2 2 0 6 190 261 254
+391 2 2 0 6 259 190 254
+392 2 2 0 6 190 439 440
+393 2 2 0 6 214 473 392
+394 2 2 0 6 214 392 293
+395 2 2 0 6 473 214 382
+396 2 2 0 6 368 382 214
+397 2 2 0 6 293 368 214
+398 2 2 0 6 191 281 246
+399 2 2 0 6 246 467 191
+400 2 2 0 6 467 468 191
+401 2 2 0 6 317 201 313
+402 2 2 0 6 201 317 309
+403 2 2 0 6 313 315 317
+404 2 2 0 6 317 315 220
+405 2 2 0 6 339 317 220
+406 2 2 0 6 309 317 339
+407 2 2 0 6 308 332 201
+408 2 2 0 6 332 292 201
+409 2 2 0 6 313 201 292
+410 2 2 0 6 201 309 308
+411 2 2 0 6 376 384 248
+412 2 2 0 6 248 471 376
+413 2 2 0 6 376 350 384
+414 2 2 0 6 471 245 376
+415 2 2 0 6 405 217 400
+416 2 2 0 6 217 460 400
+417 2 2 0 6 386 217 381
+418 2 2 0 6 460 217 386
+419 2 2 0 6 211 389 367
+420 2 2 0 6 305 389 211
+421 2 2 0 6 367 389 414
+422 2 2 0 6 412 389 490
+423 2 2 0 6 305 490 389
+424 2 2 0 6 414 389 412
+425 2 2 0 6 384 331 248
+426 2 2 0 6 458 248 331
+427 2 2 0 6 248 458 175
+428 2 2 0 6 471 248 175
+429 2 2 0 6 445 244 362
+430 2 2 0 6 445 434 244
+431 2 2 0 6 362 244 502
+432 2 2 0 6 360 411 215
+433 2 2 0 6 360 369 411
+434 2 2 0 6 445 215 411
+435 2 2 0 6 411 434 445
+436 2 2 0 6 391 388 418
+437 2 2 0 6 391 283 388
+438 2 2 0 6 272 418 388
+439 2 2 0 6 394 228 314
+440 2 2 0 6 228 394 259
+441 2 2 0 6 394 322 236
+442 2 2 0 6 394 236 259
+443 2 2 0 6 314 322 394
+444 2 2 0 6 520 444 466
+445 2 2 0 6 444 262 466
+446 2 2 0 6 180 520 466
+447 2 2 0 6 264 466 262
+448 2 2 0 6 180 466 267
+449 2 2 0 6 466 264 267
+450 2 2 0 6 174 275 253
+451 2 2 0 6 279 253 275
+452 2 2 0 6 484 322 182
+453 2 2 0 6 484 182 311
+454 2 2 0 6 182 322 314
+455 2 2 0 6 182 314 300
+456 2 2 0 6 311 182 306
+457 2 2 0 6 306 182 297
+458 2 2 0 6 182 300 297
+459 2 2 0 6 200 332 296
+460 2 2 0 6 332 200 291
+461 2 2 0 6 308 296 332
+462 2 2 0 6 291 292 332
+463 2 2 0 6 262 444 230
+464 2 2 0 6 444 509 230
+465 2 2 0 6 444 520 237
+466 2 2 0 6 365 444 237
+467 2 2 0 6 509 444 365
+468 2 2 0 6 310 331 384
+469 2 2 0 6 331 370 458
+470 2 2 0 6 204 370 331
+471 2 2 0 6 204 331 310
+472 2 2 0 6 416 451 493
+473 2 2 0 6 451 416 431
+474 2 2 0 6 515 451 431
+475 2 2 0 6 188 443 351
+476 2 2 0 6 372 351 443
+477 2 2 0 6 415 443 188
+478 2 2 0 6 415 462 443
+479 2 2 0 6 372 443 256
+480 2 2 0 6 256 443 462
+481 2 2 0 6 457 227 407
+482 2 2 0 6 227 457 430
+483 2 2 0 6 407 227 375
+484 2 2 0 6 345 375 227
+485 2 2 0 6 227 358 345
+486 2 2 0 6 430 358 227
+487 2 2 0 6 213 406 320
+488 2 2 0 6 333 320 406
+489 2 2 0 6 213 320 222
+490 2 2 0 6 329 222 320
+491 2 2 0 6 428 406 213
+492 2 2 0 6 333 406 218
+493 2 2 0 6 355 226 225
+494 2 2 0 6 430 226 355
+495 2 2 0 6 225 369 355
+496 2 2 0 6 178 358 355
+497 2 2 0 6 355 358 430
+498 2 2 0 6 369 178 355
+499 2 2 0 6 472 457 240
+500 2 2 0 6 430 457 472
+501 2 2 0 6 226 472 186
+502 2 2 0 6 472 226 430
+503 2 2 0 6 472 240 186
+504 2 2 0 6 183 384 350
+505 2 2 0 6 384 183 310
+506 2 2 0 6 232 402 325
+507 2 2 0 6 405 232 325
+508 2 2 0 6 330 325 402
+509 2 2 0 6 511 262 230
+510 2 2 0 6 511 230 463
+511 2 2 0 6 458 219 403
+512 2 2 0 6 175 458 403
+513 2 2 0 6 403 234 175
+514 2 2 0 6 383 403 219
+515 2 2 0 6 475 188 351
+516 2 2 0 6 258 475 351
+517 2 2 0 6 372 208 351
+518 2 2 0 6 351 208 258
+519 2 2 0 6 475 390 188
+520 2 2 0 6 385 390 475
+521 2 2 0 6 417 188 390
+522 2 2 0 6 390 396 417
+523 2 2 0 6 203 390 385
+524 2 2 0 6 203 396 390
+525 2 2 0 6 338 235 303
+526 2 2 0 6 338 301 235
+527 2 2 0 6 338 304 169
+528 2 2 0 6 491 338 169
+529 2 2 0 6 303 304 338
+530 2 2 0 6 291 301 338
+531 2 2 0 6 291 338 491
+532 2 2 0 6 243 410 241
+533 2 2 0 6 241 410 397
+534 2 2 0 6 241 429 243
+535 2 2 0 6 397 455 241
+536 2 2 0 6 241 455 423
+537 2 2 0 6 241 423 429
+538 2 2 0 6 457 407 461
+539 2 2 0 6 457 461 240
+540 2 2 0 6 255 499 410
+541 2 2 0 6 499 177 410
+542 2 2 0 6 243 474 410
+543 2 2 0 6 474 255 410
+544 2 2 0 6 410 177 397
+545 2 2 0 6 171 277 464
+546 2 2 0 6 171 464 505
+547 2 2 0 6 171 433 277
+548 2 2 0 6 171 463 436
+549 2 2 0 6 505 463 171
+550 2 2 0 6 171 436 433
+551 2 2 0 6 405 400 440
+552 2 2 0 6 247 440 400
+553 2 2 0 6 247 400 426
+554 2 2 0 6 460 426 400
+555 2 2 0 6 193 274 250
+556 2 2 0 6 250 267 193
+557 2 2 0 6 193 524 522
+558 2 2 0 6 524 193 267
+559 2 2 0 6 521 274 193
+560 2 2 0 6 222 395 213
+561 2 2 0 6 437 213 395
+562 2 2 0 6 213 437 428
+563 2 2 0 6 456 385 167
+564 2 2 0 6 167 385 258
+565 2 2 0 6 366 456 167
+566 2 2 0 6 167 452 366
+567 2 2 0 6 258 452 167
+568 2 2 0 6 519 523 294
+569 2 2 0 6 523 519 289
+570 2 2 0 6 523 296 294
+571 2 2 0 6 296 523 289
+572 2 2 0 6 407 375 427
+573 2 2 0 6 179 461 407
+574 2 2 0 6 407 427 179
+575 2 2 0 6 441 198 254
+576 2 2 0 6 261 441 254
+577 2 2 0 6 480 441 261
+578 2 2 0 6 345 319 375
+579 2 2 0 6 345 358 363
+580 2 2 0 6 336 347 393
+581 2 2 0 6 187 347 336
+582 2 2 0 6 393 508 336
+583 2 2 0 6 263 459 336
+584 2 2 0 6 508 263 336
+585 2 2 0 6 459 187 336
+586 2 2 0 6 318 328 365
+587 2 2 0 6 206 328 318
+588 2 2 0 6 387 318 412
+589 2 2 0 6 387 206 318
+590 2 2 0 6 237 412 318
+591 2 2 0 6 365 237 318
+592 2 2 0 6 485 380 228
+593 2 2 0 6 380 314 228
+594 2 2 0 6 259 172 228
+595 2 2 0 6 497 431 218
+596 2 2 0 6 510 497 514
+597 2 2 0 6 497 510 515
+598 2 2 0 6 497 515 431
+599 2 2 0 6 477 274 276
+600 2 2 0 6 287 477 276
+601 2 2 0 6 274 477 265
+602 2 2 0 6 265 477 251
+603 2 2 0 6 477 287 251
+604 2 2 0 6 498 519 294
+605 2 2 0 6 494 519 498
+606 2 2 0 6 289 519 513
+607 2 2 0 6 494 513 519
+608 2 2 0 6 392 473 424
+609 2 2 0 6 302 392 216
+610 2 2 0 6 424 216 392
+611 2 2 0 6 302 293 392
+612 2 2 0 6 483 250 274
+613 2 2 0 6 249 449 250
+614 2 2 0 6 250 448 249
+615 2 2 0 6 250 483 448
+616 2 2 0 6 449 267 250
+617 2 2 0 6 458 370 219
+618 2 2 0 6 292 307 313
+619 2 2 0 6 437 492 184
+620 2 2 0 6 184 492 486
+621 2 2 0 6 474 492 255
+622 2 2 0 6 492 474 486
+623 2 2 0 6 437 255 492
+624 2 2 0 6 499 395 420
+625 2 2 0 6 177 499 420
+626 2 2 0 6 395 499 255
+627 2 2 0 6 374 360 215
+628 2 2 0 6 354 360 374
+629 2 2 0 6 178 360 354
+630 2 2 0 6 369 360 178
+631 2 2 0 6 393 347 202
+632 2 2 0 6 187 413 347
+633 2 2 0 6 245 471 453
+634 2 2 0 6 471 175 453
+635 2 2 0 6 475 258 385
+636 2 2 0 6 247 470 261
+637 2 2 0 6 470 247 426
+638 2 2 0 6 470 480 261
+639 2 2 0 6 498 293 302
+640 2 2 0 6 494 498 302
+641 2 2 0 6 290 498 294
+642 2 2 0 6 498 290 293
+643 2 2 0 6 238 342 334
+644 2 2 0 6 401 238 334
+645 2 2 0 6 238 404 342
+646 2 2 0 6 401 442 238
+647 2 2 0 6 442 404 238
+648 2 2 0 6 322 348 236
+649 2 2 0 6 439 236 348
+650 2 2 0 6 209 402 348
+651 2 2 0 6 348 402 439
+652 2 2 0 6 322 298 348
+653 2 2 0 6 209 348 298
+654 2 2 0 6 500 517 266
+655 2 2 0 6 517 500 286
+656 2 2 0 6 274 521 276
+657 2 2 0 6 521 282 276
+658 2 2 0 6 382 223 170
+659 2 2 0 6 270 170 223
+660 2 2 0 6 192 270 223
+661 2 2 0 6 252 192 223
+662 2 2 0 6 344 349 223
+663 2 2 0 6 223 382 344
+664 2 2 0 6 223 349 252
+665 2 2 0 6 378 362 421
+666 2 2 0 6 378 421 221
+667 2 2 0 6 378 374 215
+668 2 2 0 6 378 215 362
+669 2 2 0 6 359 374 378
+670 2 2 0 6 378 221 359
+671 2 2 0 6 235 456 340
+672 2 2 0 6 235 340 303
+673 2 2 0 6 456 235 312
+674 2 2 0 6 312 235 301
+675 2 2 0 6 170 473 382
+676 2 2 0 6 170 504 473
+677 2 2 0 6 270 500 170
+678 2 2 0 6 504 170 500
+679 2 2 0 6 211 375 319
+680 2 2 0 6 211 427 375
+681 2 2 0 6 427 211 367
+682 2 2 0 6 211 319 305
+683 2 2 0 6 421 478 401
+684 2 2 0 6 401 221 421
+685 2 2 0 6 421 482 478
+686 2 2 0 6 502 421 362
+687 2 2 0 6 421 502 482
+688 2 2 0 6 409 311 224
+689 2 2 0 6 224 452 409
+690 2 2 0 6 398 224 324
+691 2 2 0 6 398 452 224
+692 2 2 0 6 311 324 224
+693 2 2 0 6 439 402 232
+694 2 2 0 6 405 440 232
+695 2 2 0 6 232 440 439
+696 2 2 0 6 512 489 194
+697 2 2 0 6 423 512 194
+698 2 2 0 6 504 489 512
+699 2 2 0 6 504 512 424
+700 2 2 0 6 512 423 424
+701 2 2 0 6 391 418 181
+702 2 2 0 6 391 181 326
+703 2 2 0 6 391 326 432
+704 2 2 0 6 391 432 283
+705 2 2 0 6 215 445 362
+706 2 2 0 6 506 260 438
+707 2 2 0 6 260 489 266
+708 2 2 0 6 489 260 506
+709 2 2 0 6 334 343 401
+710 2 2 0 6 176 343 334
+711 2 2 0 6 218 381 333
+712 2 2 0 6 298 322 484
+713 2 2 0 6 295 484 311
+714 2 2 0 6 484 295 298
+715 2 2 0 6 450 225 226
+716 2 2 0 6 278 450 226
+717 2 2 0 6 278 226 186
+718 2 2 0 6 496 268 174
+719 2 2 0 6 268 507 438
+720 2 2 0 6 268 496 507
+721 2 2 0 6 254 198 172
+722 2 2 0 6 487 172 198
+723 2 2 0 6 330 335 419
+724 2 2 0 6 209 335 330
+725 2 2 0 6 419 335 256
+726 2 2 0 6 372 335 447
+727 2 2 0 6 209 447 335
+728 2 2 0 6 372 256 335
+729 2 2 0 6 481 428 184
+730 2 2 0 6 184 486 481
+731 2 2 0 6 437 184 428
+732 2 2 0 6 281 195 246
+733 2 2 0 6 195 433 246
+734 2 2 0 6 195 277 433
+735 2 2 0 6 330 402 209
+736 2 2 0 6 528 474 243
+737 2 2 0 6 474 528 253
+738 2 2 0 6 429 528 243
+739 2 2 0 6 528 496 253
+740 2 2 0 6 429 496 528
+741 2 2 0 6 196 527 280
+742 2 2 0 6 527 284 280
+743 2 2 0 6 505 280 511
+744 2 2 0 6 280 284 511
+745 2 2 0 6 485 508 393
+746 2 2 0 6 380 485 393
+747 2 2 0 6 485 422 508
+748 2 2 0 6 454 436 245
+749 2 2 0 6 454 245 453
+750 2 2 0 6 408 229 379
+751 2 2 0 6 229 408 494
+752 2 2 0 6 397 229 371
+753 2 2 0 6 229 397 177
+754 2 2 0 6 494 371 229
+755 2 2 0 6 379 229 177
+756 2 2 0 6 525 242 185
+757 2 2 0 6 242 525 514
+758 2 2 0 6 401 343 221
+759 2 2 0 6 343 339 359
+760 2 2 0 6 343 176 339
+761 2 2 0 6 343 359 221
+762 2 2 0 6 386 416 460
+763 2 2 0 6 431 416 386
+764 2 2 0 6 386 381 431
+765 2 2 0 6 393 202 380
+766 2 2 0 6 503 524 516
+767 2 2 0 6 524 264 516
+768 2 2 0 6 284 527 516
+769 2 2 0 6 495 516 527
+770 2 2 0 6 516 495 503
+771 2 2 0 6 516 264 284
+772 2 2 0 6 346 210 342
+773 2 2 0 6 346 342 404
+774 2 2 0 6 414 249 367
+775 2 2 0 6 367 249 179
+776 2 2 0 6 179 427 367
+777 2 2 0 6 409 208 295
+778 2 2 0 6 208 409 258
+779 2 2 0 6 295 311 409
+780 2 2 0 6 452 258 409
+781 2 2 0 6 341 337 210
+782 2 2 0 6 323 337 341
+783 2 2 0 6 337 321 210
+784 2 2 0 6 199 337 323
+785 2 2 0 6 316 321 337
+786 2 2 0 6 337 199 316
+787 2 2 0 6 374 220 354
+788 2 2 0 6 220 374 359
+789 2 2 0 6 354 220 315
+790 2 2 0 6 220 359 339
+791 2 2 0 6 503 522 524
+792 2 2 0 6 264 524 267
+793 2 2 0 6 252 446 192
+794 2 2 0 6 270 192 286
+795 2 2 0 6 496 174 253
+796 2 2 0 6 188 417 415
+797 2 2 0 6 415 417 469
+798 2 2 0 6 469 417 396
+799 2 2 0 6 346 341 210
+800 2 2 0 6 326 341 346
+801 2 2 0 6 341 181 323
+802 2 2 0 6 181 341 326
+803 2 2 0 6 234 425 175
+804 2 2 0 6 478 442 401
+805 2 2 0 6 265 483 274
+806 2 2 0 6 218 431 381
+807 2 2 0 6 324 373 398
+808 2 2 0 6 398 373 205
+809 2 2 0 6 398 205 366
+810 2 2 0 6 398 366 452
+811 2 2 0 6 271 225 450
+812 2 2 0 6 169 490 305
+813 2 2 0 6 490 169 304
+814 2 2 0 6 307 169 305
+815 2 2 0 6 491 169 307
+816 2 2 0 6 365 328 183
+817 2 2 0 6 183 328 299
+818 2 2 0 6 365 183 350
+819 2 2 0 6 310 183 299
+820 2 2 0 6 307 305 319
+821 2 2 0 6 204 373 324
+822 2 2 0 6 310 373 204
+823 2 2 0 6 205 373 299
+824 2 2 0 6 310 299 373
+825 2 2 0 6 462 329 419
+826 2 2 0 6 462 222 329
+827 2 2 0 6 253 486 474
+828 2 2 0 6 387 412 490
+829 2 2 0 6 490 304 387
+830 2 2 0 6 354 315 363
+831 2 2 0 6 300 314 380
+832 2 2 0 6 481 185 242
+833 2 2 0 6 428 481 242
+834 2 2 0 6 454 467 246
+835 2 2 0 6 454 246 433
+836 2 2 0 6 350 509 365
+837 2 2 0 6 240 461 265
+838 2 2 0 6 251 240 265
+839 2 2 0 6 251 186 240
+840 2 2 0 6 469 420 415
+841 2 2 0 6 415 420 462
+842 2 2 0 6 387 304 206
+843 2 2 0 6 408 469 396
+844 2 2 0 6 408 379 469
+845 2 2 0 6 513 408 396
+846 2 2 0 6 494 408 513
+847 2 2 0 6 204 324 306
+848 2 2 0 6 306 370 204
+849 2 2 0 6 207 352 321
+850 2 2 0 6 352 309 176
+851 2 2 0 6 308 309 352
+852 2 2 0 6 352 207 308
+853 2 2 0 6 442 476 404
+854 2 2 0 6 476 435 404
+855 2 2 0 6 442 488 476
+856 2 2 0 6 450 278 197
+857 2 2 0 6 186 285 278
+858 2 2 0 6 424 473 504
+859 2 2 0 6 425 468 467
+860 2 2 0 6 454 453 467
+861 2 2 0 6 425 467 453
+862 2 2 0 6 181 418 349
+863 2 2 0 6 418 252 349
+864 2 2 0 6 252 418 272
+865 2 2 0 6 487 422 172
+866 2 2 0 6 501 508 422
+867 2 2 0 6 422 269 501
+868 2 2 0 6 422 487 269
+869 2 2 0 6 344 323 349
+870 2 2 0 6 344 199 323
+871 2 2 0 6 181 349 323
+872 2 2 0 6 412 237 364
+873 2 2 0 6 414 412 364
+874 2 2 0 6 368 344 382
+875 2 2 0 6 368 199 344
+876 2 2 0 6 279 486 253
+877 2 2 0 6 462 419 256
+878 2 2 0 6 354 363 178
+879 2 2 0 6 200 327 301
+880 2 2 0 6 289 327 200
+881 2 2 0 6 200 301 291
+882 2 2 0 6 200 296 289
+883 2 2 0 6 366 340 456
+884 2 2 0 6 366 205 340
+885 2 2 0 6 339 176 309
+886 2 2 0 6 493 460 416
+887 2 2 0 6 271 450 197
+888 2 2 0 6 216 371 302
+889 2 2 0 6 216 455 371
+890 2 2 0 6 455 216 423
+891 2 2 0 6 216 424 423
+892 2 2 0 6 311 306 324
+893 2 2 0 6 520 180 237
+894 2 2 0 6 180 364 237
+895 2 2 0 6 488 442 478
+896 2 2 0 6 478 482 488
+897 2 2 0 6 420 469 379
+898 2 2 0 6 501 263 508
+899 2 2 0 6 222 462 420
+900 2 2 0 6 395 222 420
+901 2 2 0 6 177 420 379
+902 2 2 0 6 312 327 203
+903 2 2 0 6 312 301 327
+904 2 2 0 6 203 327 288
+905 2 2 0 6 289 288 327
+906 2 2 0 6 397 371 455
+907 2 2 0 6 449 249 180
+908 2 2 0 6 249 414 364
+909 2 2 0 6 448 179 249
+910 2 2 0 6 364 180 249
+911 2 2 0 6 172 259 254
+912 2 2 0 6 372 447 208
+913 2 2 0 6 208 447 295
+914 2 2 0 6 298 447 209
+915 2 2 0 6 298 295 447
+916 2 2 0 6 483 265 448
+917 2 2 0 6 219 370 297
+918 2 2 0 6 383 219 297
+919 2 2 0 6 363 358 178
+920 2 2 0 6 383 300 202
+921 2 2 0 6 380 202 300
+922 2 2 0 6 506 438 507
+923 2 2 0 6 207 321 316
+924 2 2 0 6 429 507 496
+925 2 2 0 6 285 186 273
+926 2 2 0 6 273 186 251
+927 2 2 0 6 251 479 273
+928 2 2 0 6 203 385 312
+929 2 2 0 6 312 385 456
+930 2 2 0 6 306 297 370
+931 2 2 0 6 194 506 507
+932 2 2 0 6 194 507 429
+933 2 2 0 6 506 194 489
+934 2 2 0 6 429 423 194
+935 2 2 0 6 396 203 288
+936 2 2 0 6 489 504 266
+937 2 2 0 6 500 266 504
+938 2 2 0 6 511 284 262
+939 2 2 0 6 264 262 284
+940 2 2 0 6 255 437 395
+941 2 2 0 6 494 302 371
+942 2 2 0 6 267 449 180
+943 2 2 0 6 505 511 463
+944 2 2 0 6 297 300 383
+945 2 2 0 6 290 294 316
+946 2 2 0 6 316 294 207
+947 2 2 0 6 316 199 290
+948 2 2 0 6 252 272 446
+949 2 2 0 6 288 513 396
+950 2 2 0 6 289 513 288
+951 2 2 0 6 448 265 461
+952 2 2 0 6 448 461 179
+953 2 2 0 6 426 460 493
+954 2 2 0 6 293 290 368
+955 2 2 0 6 199 368 290
+956 2 2 0 6 308 207 296
+957 2 2 0 6 292 491 307
+958 2 2 0 6 206 304 303
+959 2 2 0 6 433 436 454
+960 2 2 0 6 294 296 207
+961 2 2 0 6 491 292 291
+962 2 2 0 6 270 286 500
+963 2 2 0 6 251 287 479
+964 2 2 0 6 425 453 175
+965 2 2 0 15 3 668 70
+966 2 2 0 15 3 140 668
+967 2 2 0 15 5 56 670
+968 2 2 0 15 5 670 131
+969 2 2 0 15 6 669 71
+970 2 2 0 15 6 139 669
+971 2 2 0 15 8 85 667
+972 2 2 0 15 8 667 148
+973 2 2 0 15 57 577 56
+974 2 2 0 15 577 670 56
+975 2 2 0 15 57 58 581
+976 2 2 0 15 577 57 581
+977 2 2 0 15 59 557 58
+978 2 2 0 15 557 581 58
+979 2 2 0 15 59 60 642
+980 2 2 0 15 557 59 642
+981 2 2 0 15 61 679 60
+982 2 2 0 15 642 60 679
+983 2 2 0 15 62 592 61
+984 2 2 0 15 592 679 61
+985 2 2 0 15 63 650 62
+986 2 2 0 15 592 62 650
+987 2 2 0 15 64 626 63
+988 2 2 0 15 63 626 650
+989 2 2 0 15 64 65 630
+990 2 2 0 15 64 630 626
+991 2 2 0 15 65 66 658
+992 2 2 0 15 65 658 630
+993 2 2 0 15 67 644 66
+994 2 2 0 15 644 658 66
+995 2 2 0 15 67 68 562
+996 2 2 0 15 562 644 67
+997 2 2 0 15 69 582 68
+998 2 2 0 15 562 68 582
+999 2 2 0 15 69 70 575
+1000 2 2 0 15 575 582 69
+1001 2 2 0 15 575 70 668
+1002 2 2 0 15 72 71 578
+1003 2 2 0 15 578 71 669
+1004 2 2 0 15 72 579 73
+1005 2 2 0 15 578 579 72
+1006 2 2 0 15 74 73 558
+1007 2 2 0 15 558 73 579
+1008 2 2 0 15 74 643 75
+1009 2 2 0 15 558 643 74
+1010 2 2 0 15 76 75 680
+1011 2 2 0 15 643 680 75
+1012 2 2 0 15 77 76 591
+1013 2 2 0 15 591 76 680
+1014 2 2 0 15 78 77 651
+1015 2 2 0 15 591 651 77
+1016 2 2 0 15 79 78 627
+1017 2 2 0 15 78 651 627
+1018 2 2 0 15 79 631 80
+1019 2 2 0 15 79 627 631
+1020 2 2 0 15 80 659 81
+1021 2 2 0 15 80 631 659
+1022 2 2 0 15 82 81 645
+1023 2 2 0 15 645 81 659
+1024 2 2 0 15 82 561 83
+1025 2 2 0 15 561 82 645
+1026 2 2 0 15 84 83 580
+1027 2 2 0 15 561 580 83
+1028 2 2 0 15 84 576 85
+1029 2 2 0 15 576 84 580
+1030 2 2 0 15 576 667 85
+1031 2 2 0 15 132 131 654
+1032 2 2 0 15 131 670 654
+1033 2 2 0 15 133 132 648
+1034 2 2 0 15 132 654 648
+1035 2 2 0 15 133 569 134
+1036 2 2 0 15 133 648 625
+1037 2 2 0 15 569 133 625
+1038 2 2 0 15 135 134 663
+1039 2 2 0 15 569 663 134
+1040 2 2 0 15 135 652 136
+1041 2 2 0 15 135 663 652
+1042 2 2 0 15 136 685 137
+1043 2 2 0 15 136 652 685
+1044 2 2 0 15 137 671 138
+1045 2 2 0 15 671 137 685
+1046 2 2 0 15 138 566 139
+1047 2 2 0 15 566 138 671
+1048 2 2 0 15 139 566 669
+1049 2 2 0 15 141 563 140
+1050 2 2 0 15 140 563 668
+1051 2 2 0 15 142 628 141
+1052 2 2 0 15 563 141 628
+1053 2 2 0 15 142 143 568
+1054 2 2 0 15 142 568 628
+1055 2 2 0 15 144 664 143
+1056 2 2 0 15 568 143 664
+1057 2 2 0 15 144 145 653
+1058 2 2 0 15 144 653 664
+1059 2 2 0 15 146 682 145
+1060 2 2 0 15 145 682 653
+1061 2 2 0 15 146 147 629
+1062 2 2 0 15 146 629 570
+1063 2 2 0 15 146 570 682
+1064 2 2 0 15 147 148 565
+1065 2 2 0 15 565 629 147
+1066 2 2 0 15 148 667 565
+1067 2 2 0 15 604 554 613
+1068 2 2 0 15 604 613 559
+1069 2 2 0 15 613 568 618
+1070 2 2 0 15 618 559 613
+1071 2 2 0 15 554 574 613
+1072 2 2 0 15 613 574 568
+1073 2 2 0 15 541 599 614
+1074 2 2 0 15 584 541 614
+1075 2 2 0 15 550 590 614
+1076 2 2 0 15 614 590 584
+1077 2 2 0 15 599 638 614
+1078 2 2 0 15 614 638 550
+1079 2 2 0 15 558 579 535
+1080 2 2 0 15 558 585 643
+1081 2 2 0 15 535 622 558
+1082 2 2 0 15 609 558 622
+1083 2 2 0 15 585 558 609
+1084 2 2 0 15 681 661 673
+1085 2 2 0 15 681 673 672
+1086 2 2 0 15 530 673 596
+1087 2 2 0 15 530 674 673
+1088 2 2 0 15 661 596 673
+1089 2 2 0 15 672 673 674
+1090 2 2 0 15 553 571 533
+1091 2 2 0 15 533 571 640
+1092 2 2 0 15 566 571 535
+1093 2 2 0 15 566 671 571
+1094 2 2 0 15 571 622 535
+1095 2 2 0 15 640 571 671
+1096 2 2 0 15 571 553 622
+1097 2 2 0 15 607 617 556
+1098 2 2 0 15 556 686 607
+1099 2 2 0 15 663 617 607
+1100 2 2 0 15 663 607 652
+1101 2 2 0 15 640 652 607
+1102 2 2 0 15 686 640 607
+1103 2 2 0 15 560 556 617
+1104 2 2 0 15 560 656 556
+1105 2 2 0 15 617 612 560
+1106 2 2 0 15 560 603 529
+1107 2 2 0 15 603 560 612
+1108 2 2 0 15 560 529 656
+1109 2 2 0 15 532 632 647
+1110 2 2 0 15 559 632 532
+1111 2 2 0 15 616 632 660
+1112 2 2 0 15 632 606 660
+1113 2 2 0 15 616 677 632
+1114 2 2 0 15 647 632 677
+1115 2 2 0 15 559 606 632
+1116 2 2 0 15 573 629 565
+1117 2 2 0 15 573 570 629
+1118 2 2 0 15 565 537 573
+1119 2 2 0 15 573 537 624
+1120 2 2 0 15 573 624 555
+1121 2 2 0 15 555 616 573
+1122 2 2 0 15 616 570 573
+1123 2 2 0 15 604 532 635
+1124 2 2 0 15 559 532 604
+1125 2 2 0 15 554 604 541
+1126 2 2 0 15 599 541 604
+1127 2 2 0 15 604 635 599
+1128 2 2 0 15 683 596 542
+1129 2 2 0 15 546 683 542
+1130 2 2 0 15 620 602 683
+1131 2 2 0 15 620 683 546
+1132 2 2 0 15 596 683 598
+1133 2 2 0 15 598 683 602
+1134 2 2 0 15 551 637 615
+1135 2 2 0 15 544 637 551
+1136 2 2 0 15 600 615 637
+1137 2 2 0 15 600 637 655
+1138 2 2 0 15 637 593 655
+1139 2 2 0 15 544 593 637
+1140 2 2 0 15 670 577 654
+1141 2 2 0 15 564 577 534
+1142 2 2 0 15 577 564 654
+1143 2 2 0 15 577 581 534
+1144 2 2 0 15 631 627 595
+1145 2 2 0 15 627 651 657
+1146 2 2 0 15 627 657 595
+1147 2 2 0 15 562 582 536
+1148 2 2 0 15 536 623 562
+1149 2 2 0 15 562 584 644
+1150 2 2 0 15 584 562 610
+1151 2 2 0 15 610 562 623
+1152 2 2 0 15 661 681 593
+1153 2 2 0 15 531 681 672
+1154 2 2 0 15 655 681 531
+1155 2 2 0 15 655 593 681
+1156 2 2 0 15 532 647 635
+1157 2 2 0 15 656 686 556
+1158 2 2 0 15 588 586 642
+1159 2 2 0 15 642 679 588
+1160 2 2 0 15 547 619 588
+1161 2 2 0 15 592 547 588
+1162 2 2 0 15 619 586 588
+1163 2 2 0 15 592 588 679
+1164 2 2 0 15 669 566 578
+1165 2 2 0 15 591 680 587
+1166 2 2 0 15 643 587 680
+1167 2 2 0 15 591 587 546
+1168 2 2 0 15 587 643 585
+1169 2 2 0 15 546 587 620
+1170 2 2 0 15 620 587 585
+1171 2 2 0 15 554 541 610
+1172 2 2 0 15 584 610 541
+1173 2 2 0 15 530 687 633
+1174 2 2 0 15 633 597 530
+1175 2 2 0 15 633 687 634
+1176 2 2 0 15 633 676 641
+1177 2 2 0 15 634 676 633
+1178 2 2 0 15 597 633 641
+1179 2 2 0 15 533 656 553
+1180 2 2 0 15 656 533 686
+1181 2 2 0 15 640 686 533
+1182 2 2 0 15 566 535 578
+1183 2 2 0 15 578 535 579
+1184 2 2 0 15 530 598 687
+1185 2 2 0 15 598 530 596
+1186 2 2 0 15 530 597 674
+1187 2 2 0 15 608 552 621
+1188 2 2 0 15 608 621 557
+1189 2 2 0 15 586 539 608
+1190 2 2 0 15 586 608 557
+1191 2 2 0 15 552 608 539
+1192 2 2 0 15 665 591 546
+1193 2 2 0 15 591 665 651
+1194 2 2 0 15 568 664 618
+1195 2 2 0 15 606 618 664
+1196 2 2 0 15 559 618 606
+1197 2 2 0 15 612 617 625
+1198 2 2 0 15 625 617 569
+1199 2 2 0 15 569 617 663
+1200 2 2 0 15 549 675 662
+1201 2 2 0 15 662 675 674
+1202 2 2 0 15 672 675 594
+1203 2 2 0 15 675 672 674
+1204 2 2 0 15 549 545 675
+1205 2 2 0 15 675 545 594
+1206 2 2 0 15 551 615 589
+1207 2 2 0 15 589 595 551
+1208 2 2 0 15 595 639 551
+1209 2 2 0 15 551 639 544
+1210 2 2 0 15 671 685 640
+1211 2 2 0 15 685 652 640
+1212 2 2 0 15 615 583 589
+1213 2 2 0 15 645 659 589
+1214 2 2 0 15 589 583 645
+1215 2 2 0 15 659 631 589
+1216 2 2 0 15 589 631 595
+1217 2 2 0 15 565 576 537
+1218 2 2 0 15 667 576 565
+1219 2 2 0 15 537 561 624
+1220 2 2 0 15 561 537 580
+1221 2 2 0 15 561 645 583
+1222 2 2 0 15 611 624 561
+1223 2 2 0 15 583 611 561
+1224 2 2 0 15 636 687 598
+1225 2 2 0 15 687 636 634
+1226 2 2 0 15 646 636 602
+1227 2 2 0 15 602 636 598
+1228 2 2 0 15 634 636 646
+1229 2 2 0 15 540 615 600
+1230 2 2 0 15 583 615 540
+1231 2 2 0 15 542 548 665
+1232 2 2 0 15 548 542 688
+1233 2 2 0 15 596 688 542
+1234 2 2 0 15 542 665 546
+1235 2 2 0 15 575 536 582
+1236 2 2 0 15 563 574 536
+1237 2 2 0 15 563 536 575
+1238 2 2 0 15 574 623 536
+1239 2 2 0 15 572 621 552
+1240 2 2 0 15 572 534 621
+1241 2 2 0 15 534 557 621
+1242 2 2 0 15 538 602 620
+1243 2 2 0 15 585 538 620
+1244 2 2 0 15 564 572 625
+1245 2 2 0 15 564 625 648
+1246 2 2 0 15 564 534 572
+1247 2 2 0 15 654 564 648
+1248 2 2 0 15 603 634 529
+1249 2 2 0 15 552 539 603
+1250 2 2 0 15 601 603 539
+1251 2 2 0 15 603 612 552
+1252 2 2 0 15 603 601 634
+1253 2 2 0 15 658 590 630
+1254 2 2 0 15 644 590 658
+1255 2 2 0 15 668 563 575
+1256 2 2 0 15 612 625 572
+1257 2 2 0 15 660 682 570
+1258 2 2 0 15 682 660 653
+1259 2 2 0 15 616 660 570
+1260 2 2 0 15 660 606 653
+1261 2 2 0 15 634 646 529
+1262 2 2 0 15 529 646 656
+1263 2 2 0 15 574 554 623
+1264 2 2 0 15 610 623 554
+1265 2 2 0 15 576 580 537
+1266 2 2 0 15 639 665 548
+1267 2 2 0 15 544 639 548
+1268 2 2 0 15 548 688 661
+1269 2 2 0 15 593 548 661
+1270 2 2 0 15 548 593 544
+1271 2 2 0 15 557 642 586
+1272 2 2 0 15 657 665 639
+1273 2 2 0 15 639 595 657
+1274 2 2 0 15 567 647 600
+1275 2 2 0 15 600 655 567
+1276 2 2 0 15 647 677 600
+1277 2 2 0 15 540 600 677
+1278 2 2 0 15 647 567 635
+1279 2 2 0 15 567 649 635
+1280 2 2 0 15 567 531 649
+1281 2 2 0 15 567 655 531
+1282 2 2 0 15 611 555 624
+1283 2 2 0 15 555 611 540
+1284 2 2 0 15 583 540 611
+1285 2 2 0 15 547 543 641
+1286 2 2 0 15 619 547 641
+1287 2 2 0 15 543 547 666
+1288 2 2 0 15 666 547 592
+1289 2 2 0 15 543 549 662
+1290 2 2 0 15 597 543 662
+1291 2 2 0 15 662 674 597
+1292 2 2 0 15 586 619 539
+1293 2 2 0 15 596 661 688
+1294 2 2 0 15 619 641 676
+1295 2 2 0 15 619 676 601
+1296 2 2 0 15 601 676 634
+1297 2 2 0 15 602 538 605
+1298 2 2 0 15 605 646 602
+1299 2 2 0 15 641 543 597
+1300 2 2 0 15 664 653 606
+1301 2 2 0 15 574 563 628
+1302 2 2 0 15 574 628 568
+1303 2 2 0 15 590 550 678
+1304 2 2 0 15 590 678 630
+1305 2 2 0 15 590 644 584
+1306 2 2 0 15 552 612 572
+1307 2 2 0 15 585 609 538
+1308 2 2 0 15 553 538 609
+1309 2 2 0 15 553 605 538
+1310 2 2 0 15 677 616 555
+1311 2 2 0 15 555 540 677
+1312 2 2 0 15 539 619 601
+1313 2 2 0 15 649 599 635
+1314 2 2 0 15 599 649 638
+1315 2 2 0 15 550 545 678
+1316 2 2 0 15 545 550 638
+1317 2 2 0 15 678 626 630
+1318 2 2 0 15 684 626 678
+1319 2 2 0 15 626 684 650
+1320 2 2 0 15 646 605 656
+1321 2 2 0 15 531 672 594
+1322 2 2 0 15 609 622 553
+1323 2 2 0 15 543 666 549
+1324 2 2 0 15 666 684 549
+1325 2 2 0 15 545 549 684
+1326 2 2 0 15 678 545 684
+1327 2 2 0 15 650 684 666
+1328 2 2 0 15 649 531 594
+1329 2 2 0 15 605 553 656
+1330 2 2 0 15 638 649 594
+1331 2 2 0 15 545 638 594
+1332 2 2 0 15 651 665 657
+1333 2 2 0 15 557 534 581
+1334 2 2 0 15 592 650 666
+1335 2 2 0 19 2 844 25
+1336 2 2 0 19 2 149 844
+1337 2 2 0 19 3 11 846
+1338 2 2 0 19 3 846 140
+1339 2 2 0 19 8 845 86
+1340 2 2 0 19 8 148 845
+1341 2 2 0 19 9 100 843
+1342 2 2 0 19 9 843 157
+1343 2 2 0 19 12 736 11
+1344 2 2 0 19 736 846 11
+1345 2 2 0 19 12 13 740
+1346 2 2 0 19 736 12 740
+1347 2 2 0 19 14 715 13
+1348 2 2 0 19 715 740 13
+1349 2 2 0 19 14 15 819
+1350 2 2 0 19 715 14 819
+1351 2 2 0 19 16 836 15
+1352 2 2 0 19 819 15 836
+1353 2 2 0 19 17 837 16
+1354 2 2 0 19 16 837 836
+1355 2 2 0 19 18 831 17
+1356 2 2 0 19 17 831 837
+1357 2 2 0 19 19 789 18
+1358 2 2 0 19 18 789 831
+1359 2 2 0 19 19 20 793
+1360 2 2 0 19 19 793 789
+1361 2 2 0 19 20 21 834
+1362 2 2 0 19 20 834 793
+1363 2 2 0 19 22 821 21
+1364 2 2 0 19 821 834 21
+1365 2 2 0 19 22 23 720
+1366 2 2 0 19 720 821 22
+1367 2 2 0 19 24 741 23
+1368 2 2 0 19 720 23 741
+1369 2 2 0 19 24 25 734
+1370 2 2 0 19 734 741 24
+1371 2 2 0 19 734 25 844
+1372 2 2 0 19 87 86 737
+1373 2 2 0 19 737 86 845
+1374 2 2 0 19 87 738 88
+1375 2 2 0 19 737 738 87
+1376 2 2 0 19 89 88 716
+1377 2 2 0 19 716 88 738
+1378 2 2 0 19 89 820 90
+1379 2 2 0 19 716 820 89
+1380 2 2 0 19 91 90 839
+1381 2 2 0 19 820 839 90
+1382 2 2 0 19 92 91 838
+1383 2 2 0 19 91 839 838
+1384 2 2 0 19 93 92 832
+1385 2 2 0 19 92 838 832
+1386 2 2 0 19 94 93 790
+1387 2 2 0 19 93 832 790
+1388 2 2 0 19 94 794 95
+1389 2 2 0 19 94 790 794
+1390 2 2 0 19 95 835 96
+1391 2 2 0 19 95 794 835
+1392 2 2 0 19 97 96 822
+1393 2 2 0 19 822 96 835
+1394 2 2 0 19 97 719 98
+1395 2 2 0 19 719 97 822
+1396 2 2 0 19 99 98 739
+1397 2 2 0 19 719 739 98
+1398 2 2 0 19 99 735 100
+1399 2 2 0 19 735 99 739
+1400 2 2 0 19 735 843 100
+1401 2 2 0 19 141 140 830
+1402 2 2 0 19 140 846 830
+1403 2 2 0 19 142 141 826
+1404 2 2 0 19 141 830 826
+1405 2 2 0 19 142 727 143
+1406 2 2 0 19 142 826 788
+1407 2 2 0 19 727 142 788
+1408 2 2 0 19 144 143 841
+1409 2 2 0 19 727 841 143
+1410 2 2 0 19 144 827 145
+1411 2 2 0 19 144 841 827
+1412 2 2 0 19 145 853 146
+1413 2 2 0 19 145 827 853
+1414 2 2 0 19 146 847 147
+1415 2 2 0 19 847 146 853
+1416 2 2 0 19 147 724 148
+1417 2 2 0 19 724 147 847
+1418 2 2 0 19 148 724 845
+1419 2 2 0 19 150 721 149
+1420 2 2 0 19 149 721 844
+1421 2 2 0 19 151 791 150
+1422 2 2 0 19 721 150 791
+1423 2 2 0 19 151 152 726
+1424 2 2 0 19 151 726 791
+1425 2 2 0 19 153 842 152
+1426 2 2 0 19 726 152 842
+1427 2 2 0 19 153 154 828
+1428 2 2 0 19 153 828 842
+1429 2 2 0 19 155 852 154
+1430 2 2 0 19 154 852 828
+1431 2 2 0 19 155 156 792
+1432 2 2 0 19 155 728 852
+1433 2 2 0 19 155 792 728
+1434 2 2 0 19 156 157 723
+1435 2 2 0 19 723 792 156
+1436 2 2 0 19 157 843 723
+1437 2 2 0 19 694 824 810
+1438 2 2 0 19 766 694 810
+1439 2 2 0 19 824 725 810
+1440 2 2 0 19 766 810 761
+1441 2 2 0 19 725 761 810
+1442 2 2 0 19 846 736 830
+1443 2 2 0 19 830 722 826
+1444 2 2 0 19 736 722 830
+1445 2 2 0 19 765 718 775
+1446 2 2 0 19 782 775 718
+1447 2 2 0 19 718 765 689
+1448 2 2 0 19 718 833 714
+1449 2 2 0 19 718 689 833
+1450 2 2 0 19 718 714 782
+1451 2 2 0 19 837 831 751
+1452 2 2 0 19 837 747 836
+1453 2 2 0 19 747 837 751
+1454 2 2 0 19 697 785 716
+1455 2 2 0 19 716 738 697
+1456 2 2 0 19 724 729 697
+1457 2 2 0 19 724 697 737
+1458 2 2 0 19 729 785 697
+1459 2 2 0 19 737 697 738
+1460 2 2 0 19 762 768 702
+1461 2 2 0 19 713 702 768
+1462 2 2 0 19 713 774 702
+1463 2 2 0 19 742 702 774
+1464 2 2 0 19 702 856 762
+1465 2 2 0 19 702 778 856
+1466 2 2 0 19 742 778 702
+1467 2 2 0 19 823 767 833
+1468 2 2 0 19 767 823 764
+1469 2 2 0 19 767 711 833
+1470 2 2 0 19 711 767 700
+1471 2 2 0 19 764 700 767
+1472 2 2 0 19 707 705 811
+1473 2 2 0 19 707 811 780
+1474 2 2 0 19 811 705 760
+1475 2 2 0 19 848 811 809
+1476 2 2 0 19 760 809 811
+1477 2 2 0 19 780 811 848
+1478 2 2 0 19 707 807 705
+1479 2 2 0 19 707 780 747
+1480 2 2 0 19 751 707 747
+1481 2 2 0 19 707 751 807
+1482 2 2 0 19 804 813 825
+1483 2 2 0 19 825 813 855
+1484 2 2 0 19 813 804 753
+1485 2 2 0 19 795 813 753
+1486 2 2 0 19 795 850 813
+1487 2 2 0 19 777 855 813
+1488 2 2 0 19 850 777 813
+1489 2 2 0 19 851 815 778
+1490 2 2 0 19 796 815 851
+1491 2 2 0 19 803 829 815
+1492 2 2 0 19 815 752 803
+1493 2 2 0 19 829 856 815
+1494 2 2 0 19 778 815 856
+1495 2 2 0 19 796 752 815
+1496 2 2 0 19 694 805 824
+1497 2 2 0 19 717 805 694
+1498 2 2 0 19 717 694 766
+1499 2 2 0 19 709 818 705
+1500 2 2 0 19 760 705 818
+1501 2 2 0 19 709 705 807
+1502 2 2 0 19 816 827 770
+1503 2 2 0 19 854 816 770
+1504 2 2 0 19 841 782 770
+1505 2 2 0 19 770 782 714
+1506 2 2 0 19 841 770 827
+1507 2 2 0 19 714 854 770
+1508 2 2 0 19 843 735 723
+1509 2 2 0 19 842 828 769
+1510 2 2 0 19 840 769 828
+1511 2 2 0 19 852 840 828
+1512 2 2 0 19 772 716 785
+1513 2 2 0 19 744 716 772
+1514 2 2 0 19 716 744 820
+1515 2 2 0 19 690 809 802
+1516 2 2 0 19 690 733 809
+1517 2 2 0 19 690 802 801
+1518 2 2 0 19 690 801 814
+1519 2 2 0 19 690 814 733
+1520 2 2 0 19 831 789 757
+1521 2 2 0 19 751 831 757
+1522 2 2 0 19 824 805 768
+1523 2 2 0 19 779 768 805
+1524 2 2 0 19 768 762 824
+1525 2 2 0 19 768 779 713
+1526 2 2 0 19 754 851 794
+1527 2 2 0 19 754 796 851
+1528 2 2 0 19 851 778 748
+1529 2 2 0 19 748 794 851
+1530 2 2 0 19 803 752 799
+1531 2 2 0 19 692 803 799
+1532 2 2 0 19 693 799 798
+1533 2 2 0 19 693 692 799
+1534 2 2 0 19 752 798 799
+1535 2 2 0 19 760 802 809
+1536 2 2 0 19 809 763 848
+1537 2 2 0 19 763 809 733
+1538 2 2 0 19 754 756 708
+1539 2 2 0 19 756 754 790
+1540 2 2 0 19 754 708 796
+1541 2 2 0 19 794 790 754
+1542 2 2 0 19 805 769 840
+1543 2 2 0 19 779 805 840
+1544 2 2 0 19 717 769 805
+1545 2 2 0 19 769 783 842
+1546 2 2 0 19 726 842 783
+1547 2 2 0 19 717 783 769
+1548 2 2 0 19 776 726 783
+1549 2 2 0 19 783 717 776
+1550 2 2 0 19 774 787 719
+1551 2 2 0 19 742 774 719
+1552 2 2 0 19 774 713 787
+1553 2 2 0 19 712 703 773
+1554 2 2 0 19 773 786 712
+1555 2 2 0 19 766 712 776
+1556 2 2 0 19 712 732 776
+1557 2 2 0 19 712 766 703
+1558 2 2 0 19 732 712 786
+1559 2 2 0 19 819 836 747
+1560 2 2 0 19 706 812 704
+1561 2 2 0 19 706 781 812
+1562 2 2 0 19 706 704 806
+1563 2 2 0 19 706 806 750
+1564 2 2 0 19 706 746 781
+1565 2 2 0 19 750 746 706
+1566 2 2 0 19 708 756 806
+1567 2 2 0 19 832 756 790
+1568 2 2 0 19 750 756 832
+1569 2 2 0 19 750 806 756
+1570 2 2 0 19 772 785 711
+1571 2 2 0 19 711 700 772
+1572 2 2 0 19 744 772 700
+1573 2 2 0 19 689 823 833
+1574 2 2 0 19 689 808 823
+1575 2 2 0 19 823 808 733
+1576 2 2 0 19 733 764 823
+1577 2 2 0 19 725 824 762
+1578 2 2 0 19 829 762 856
+1579 2 2 0 19 762 829 725
+1580 2 2 0 19 747 745 819
+1581 2 2 0 19 715 819 745
+1582 2 2 0 19 711 729 695
+1583 2 2 0 19 695 833 711
+1584 2 2 0 19 729 711 785
+1585 2 2 0 19 775 782 788
+1586 2 2 0 19 775 788 730
+1587 2 2 0 19 788 782 727
+1588 2 2 0 19 722 788 826
+1589 2 2 0 19 722 730 788
+1590 2 2 0 19 801 802 797
+1591 2 2 0 19 802 760 797
+1592 2 2 0 19 771 710 784
+1593 2 2 0 19 771 784 715
+1594 2 2 0 19 710 771 701
+1595 2 2 0 19 745 701 771
+1596 2 2 0 19 745 771 715
+1597 2 2 0 19 708 704 817
+1598 2 2 0 19 796 708 817
+1599 2 2 0 19 708 806 704
+1600 2 2 0 19 721 732 698
+1601 2 2 0 19 721 698 734
+1602 2 2 0 19 720 741 698
+1603 2 2 0 19 698 786 720
+1604 2 2 0 19 732 786 698
+1605 2 2 0 19 734 698 741
+1606 2 2 0 19 724 847 729
+1607 2 2 0 19 845 724 737
+1608 2 2 0 19 801 798 759
+1609 2 2 0 19 759 814 801
+1610 2 2 0 19 801 797 693
+1611 2 2 0 19 801 693 798
+1612 2 2 0 19 765 775 710
+1613 2 2 0 19 710 775 730
+1614 2 2 0 19 844 721 734
+1615 2 2 0 19 838 750 832
+1616 2 2 0 19 730 696 784
+1617 2 2 0 19 696 715 784
+1618 2 2 0 19 730 784 710
+1619 2 2 0 19 722 696 730
+1620 2 2 0 19 722 736 696
+1621 2 2 0 19 736 740 696
+1622 2 2 0 19 715 696 740
+1623 2 2 0 19 853 827 816
+1624 2 2 0 19 847 853 816
+1625 2 2 0 19 691 804 825
+1626 2 2 0 19 825 855 761
+1627 2 2 0 19 761 725 825
+1628 2 2 0 19 691 825 725
+1629 2 2 0 19 835 794 748
+1630 2 2 0 19 822 835 748
+1631 2 2 0 19 780 848 763
+1632 2 2 0 19 710 701 765
+1633 2 2 0 19 765 808 689
+1634 2 2 0 19 765 763 808
+1635 2 2 0 19 763 765 701
+1636 2 2 0 19 804 800 753
+1637 2 2 0 19 692 800 804
+1638 2 2 0 19 691 692 804
+1639 2 2 0 19 834 749 793
+1640 2 2 0 19 793 755 789
+1641 2 2 0 19 749 850 793
+1642 2 2 0 19 755 793 850
+1643 2 2 0 19 723 699 731
+1644 2 2 0 19 723 735 699
+1645 2 2 0 19 731 792 723
+1646 2 2 0 19 795 753 818
+1647 2 2 0 19 795 818 709
+1648 2 2 0 19 818 753 758
+1649 2 2 0 19 760 818 758
+1650 2 2 0 19 695 729 816
+1651 2 2 0 19 816 854 695
+1652 2 2 0 19 816 729 847
+1653 2 2 0 19 699 719 787
+1654 2 2 0 19 719 699 739
+1655 2 2 0 19 719 822 742
+1656 2 2 0 19 833 695 854
+1657 2 2 0 19 759 817 704
+1658 2 2 0 19 759 798 817
+1659 2 2 0 19 817 798 752
+1660 2 2 0 19 796 817 752
+1661 2 2 0 19 812 759 704
+1662 2 2 0 19 759 812 814
+1663 2 2 0 19 840 852 728
+1664 2 2 0 19 779 840 728
+1665 2 2 0 19 691 829 803
+1666 2 2 0 19 691 803 692
+1667 2 2 0 19 743 720 773
+1668 2 2 0 19 773 720 786
+1669 2 2 0 19 743 773 703
+1670 2 2 0 19 701 780 763
+1671 2 2 0 19 745 780 701
+1672 2 2 0 19 780 745 747
+1673 2 2 0 19 781 849 812
+1674 2 2 0 19 812 849 814
+1675 2 2 0 19 776 732 726
+1676 2 2 0 19 732 791 726
+1677 2 2 0 19 833 854 714
+1678 2 2 0 19 727 782 841
+1679 2 2 0 19 713 779 731
+1680 2 2 0 19 779 728 731
+1681 2 2 0 19 781 764 849
+1682 2 2 0 19 814 849 764
+1683 2 2 0 19 755 795 709
+1684 2 2 0 19 755 850 795
+1685 2 2 0 19 766 776 717
+1686 2 2 0 19 703 761 855
+1687 2 2 0 19 703 855 777
+1688 2 2 0 19 761 703 766
+1689 2 2 0 19 731 787 713
+1690 2 2 0 19 732 721 791
+1691 2 2 0 19 821 749 834
+1692 2 2 0 19 720 743 821
+1693 2 2 0 19 749 821 743
+1694 2 2 0 19 743 703 777
+1695 2 2 0 19 777 749 743
+1696 2 2 0 19 850 749 777
+1697 2 2 0 19 757 789 755
+1698 2 2 0 19 839 746 838
+1699 2 2 0 19 820 746 839
+1700 2 2 0 19 693 797 800
+1701 2 2 0 19 800 797 758
+1702 2 2 0 19 758 797 760
+1703 2 2 0 19 746 750 838
+1704 2 2 0 19 733 808 763
+1705 2 2 0 19 693 800 692
+1706 2 2 0 19 731 699 787
+1707 2 2 0 19 735 739 699
+1708 2 2 0 19 691 725 829
+1709 2 2 0 19 744 700 781
+1710 2 2 0 19 700 764 781
+1711 2 2 0 19 753 800 758
+1712 2 2 0 19 778 742 748
+1713 2 2 0 19 781 746 744
+1714 2 2 0 19 731 728 792
+1715 2 2 0 19 748 742 822
+1716 2 2 0 19 746 820 744
+1717 2 2 0 19 751 757 807
+1718 2 2 0 19 764 733 814
+1719 2 2 0 19 755 709 757
+1720 2 2 0 19 709 807 757
+1721 2 2 0 23 2 26 998
+1722 2 2 0 23 2 998 149
+1723 2 2 0 23 4 996 40
+1724 2 2 0 23 4 158 996
+1725 2 2 0 23 9 997 101
+1726 2 2 0 23 9 157 997
+1727 2 2 0 23 10 115 995
+1728 2 2 0 23 10 995 166
+1729 2 2 0 23 27 905 26
+1730 2 2 0 23 905 998 26
+1731 2 2 0 23 27 28 909
+1732 2 2 0 23 905 27 909
+1733 2 2 0 23 29 885 28
+1734 2 2 0 23 885 909 28
+1735 2 2 0 23 29 30 970
+1736 2 2 0 23 885 29 970
+1737 2 2 0 23 31 1007 30
+1738 2 2 0 23 970 30 1007
+1739 2 2 0 23 32 920 31
+1740 2 2 0 23 920 1007 31
+1741 2 2 0 23 33 978 32
+1742 2 2 0 23 920 32 978
+1743 2 2 0 23 34 954 33
+1744 2 2 0 23 33 954 978
+1745 2 2 0 23 34 35 958
+1746 2 2 0 23 34 958 954
+1747 2 2 0 23 35 36 986
+1748 2 2 0 23 35 986 958
+1749 2 2 0 23 37 972 36
+1750 2 2 0 23 972 986 36
+1751 2 2 0 23 37 38 890
+1752 2 2 0 23 890 972 37
+1753 2 2 0 23 39 910 38
+1754 2 2 0 23 890 38 910
+1755 2 2 0 23 39 40 903
+1756 2 2 0 23 903 910 39
+1757 2 2 0 23 903 40 996
+1758 2 2 0 23 102 101 906
+1759 2 2 0 23 906 101 997
+1760 2 2 0 23 102 907 103
+1761 2 2 0 23 906 907 102
+1762 2 2 0 23 104 103 886
+1763 2 2 0 23 886 103 907
+1764 2 2 0 23 104 971 105
+1765 2 2 0 23 886 971 104
+1766 2 2 0 23 106 105 1008
+1767 2 2 0 23 971 1008 105
+1768 2 2 0 23 107 106 919
+1769 2 2 0 23 919 106 1008
+1770 2 2 0 23 108 107 979
+1771 2 2 0 23 919 979 107
+1772 2 2 0 23 109 108 955
+1773 2 2 0 23 108 979 955
+1774 2 2 0 23 109 959 110
+1775 2 2 0 23 109 955 959
+1776 2 2 0 23 110 987 111
+1777 2 2 0 23 110 959 987
+1778 2 2 0 23 112 111 973
+1779 2 2 0 23 973 111 987
+1780 2 2 0 23 112 889 113
+1781 2 2 0 23 889 112 973
+1782 2 2 0 23 114 113 908
+1783 2 2 0 23 889 908 113
+1784 2 2 0 23 114 904 115
+1785 2 2 0 23 904 114 908
+1786 2 2 0 23 904 995 115
+1787 2 2 0 23 150 149 982
+1788 2 2 0 23 149 998 982
+1789 2 2 0 23 151 150 976
+1790 2 2 0 23 150 982 976
+1791 2 2 0 23 151 897 152
+1792 2 2 0 23 897 151 953
+1793 2 2 0 23 151 976 953
+1794 2 2 0 23 153 152 991
+1795 2 2 0 23 897 991 152
+1796 2 2 0 23 153 980 154
+1797 2 2 0 23 153 991 980
+1798 2 2 0 23 154 1013 155
+1799 2 2 0 23 154 980 1013
+1800 2 2 0 23 155 999 156
+1801 2 2 0 23 999 155 1013
+1802 2 2 0 23 156 894 157
+1803 2 2 0 23 894 156 999
+1804 2 2 0 23 157 894 997
+1805 2 2 0 23 159 891 158
+1806 2 2 0 23 158 891 996
+1807 2 2 0 23 160 956 159
+1808 2 2 0 23 891 159 956
+1809 2 2 0 23 160 161 896
+1810 2 2 0 23 160 896 956
+1811 2 2 0 23 162 992 161
+1812 2 2 0 23 896 161 992
+1813 2 2 0 23 162 163 981
+1814 2 2 0 23 162 981 992
+1815 2 2 0 23 164 1010 163
+1816 2 2 0 23 163 1010 981
+1817 2 2 0 23 164 165 957
+1818 2 2 0 23 164 898 1010
+1819 2 2 0 23 164 957 898
+1820 2 2 0 23 165 166 893
+1821 2 2 0 23 893 957 165
+1822 2 2 0 23 166 995 893
+1823 2 2 0 23 1003 1000 1002
+1824 2 2 0 23 990 1003 1002
+1825 2 2 0 23 877 873 1003
+1826 2 2 0 23 1003 873 922
+1827 2 2 0 23 1000 1003 922
+1828 2 2 0 23 877 1003 990
+1829 2 2 0 23 989 924 1001
+1830 2 2 0 23 924 989 1016
+1831 2 2 0 23 921 876 989
+1832 2 2 0 23 989 1009 921
+1833 2 2 0 23 876 1016 989
+1834 2 2 0 23 1009 989 1001
+1835 2 2 0 23 868 943 928
+1836 2 2 0 23 911 943 868
+1837 2 2 0 23 878 943 917
+1838 2 2 0 23 878 965 943
+1839 2 2 0 23 943 911 917
+1840 2 2 0 23 928 943 965
+1841 2 2 0 23 924 1011 926
+1842 2 2 0 23 926 858 924
+1843 2 2 0 23 926 1011 930
+1844 2 2 0 23 930 964 926
+1845 2 2 0 23 858 926 1015
+1846 2 2 0 23 964 1015 926
+1847 2 2 0 23 881 933 866
+1848 2 2 0 23 930 866 933
+1849 2 2 0 23 881 866 937
+1850 2 2 0 23 866 930 948
+1851 2 2 0 23 913 937 866
+1852 2 2 0 23 913 866 948
+1853 2 2 0 23 893 904 865
+1854 2 2 0 23 893 865 901
+1855 2 2 0 23 901 865 952
+1856 2 2 0 23 865 889 952
+1857 2 2 0 23 904 908 865
+1858 2 2 0 23 889 865 908
+1859 2 2 0 23 973 987 917
+1860 2 2 0 23 917 911 973
+1861 2 2 0 23 889 973 911
+1862 2 2 0 23 895 977 963
+1863 2 2 0 23 977 927 963
+1864 2 2 0 23 895 859 977
+1865 2 2 0 23 927 977 966
+1866 2 2 0 23 977 859 922
+1867 2 2 0 23 966 977 922
+1868 2 2 0 23 972 918 986
+1869 2 2 0 23 918 972 912
+1870 2 2 0 23 986 918 958
+1871 2 2 0 23 879 918 942
+1872 2 2 0 23 942 918 912
+1873 2 2 0 23 918 879 1006
+1874 2 2 0 23 918 1006 958
+1875 2 2 0 23 894 863 906
+1876 2 2 0 23 997 894 906
+1877 2 2 0 23 894 899 863
+1878 2 2 0 23 894 999 899
+1879 2 2 0 23 955 985 923
+1880 2 2 0 23 959 955 923
+1881 2 2 0 23 967 923 985
+1882 2 2 0 23 917 923 878
+1883 2 2 0 23 923 967 878
+1884 2 2 0 23 917 959 923
+1885 2 2 0 23 900 949 880
+1886 2 2 0 23 880 940 900
+1887 2 2 0 23 892 862 900
+1888 2 2 0 23 900 862 949
+1889 2 2 0 23 892 900 953
+1890 2 2 0 23 940 953 900
+1891 2 2 0 23 969 871 925
+1892 2 2 0 23 875 871 969
+1893 2 2 0 23 961 1004 969
+1894 2 2 0 23 925 961 969
+1895 2 2 0 23 947 969 1004
+1896 2 2 0 23 947 875 969
+1897 2 2 0 23 883 868 1005
+1898 2 2 0 23 883 939 868
+1899 2 2 0 23 1005 944 883
+1900 2 2 0 23 883 944 901
+1901 2 2 0 23 939 883 952
+1902 2 2 0 23 901 952 883
+1903 2 2 0 23 871 875 994
+1904 2 2 0 23 871 994 877
+1905 2 2 0 23 925 871 990
+1906 2 2 0 23 871 877 990
+1907 2 2 0 23 988 1010 898
+1908 2 2 0 23 1010 988 981
+1909 2 2 0 23 938 951 882
+1910 2 2 0 23 938 890 951
+1911 2 2 0 23 882 869 938
+1912 2 2 0 23 912 890 938
+1913 2 2 0 23 912 938 869
+1914 2 2 0 23 890 912 972
+1915 2 2 0 23 920 916 1007
+1916 2 2 0 23 970 1007 916
+1917 2 2 0 23 868 928 1005
+1918 2 2 0 23 911 868 939
+1919 2 2 0 23 902 956 896
+1920 2 2 0 23 941 902 896
+1921 2 2 0 23 941 896 946
+1922 2 2 0 23 896 992 946
+1923 2 2 0 23 867 947 929
+1924 2 2 0 23 929 931 867
+1925 2 2 0 23 880 936 867
+1926 2 2 0 23 880 867 931
+1927 2 2 0 23 914 947 867
+1928 2 2 0 23 914 867 936
+1929 2 2 0 23 955 979 985
+1930 2 2 0 23 887 960 860
+1931 2 2 0 23 887 934 960
+1932 2 2 0 23 944 960 988
+1933 2 2 0 23 944 1005 960
+1934 2 2 0 23 860 960 975
+1935 2 2 0 23 960 934 988
+1936 2 2 0 23 975 960 1005
+1937 2 2 0 23 933 881 984
+1938 2 2 0 23 974 933 984
+1939 2 2 0 23 933 974 930
+1940 2 2 0 23 985 993 967
+1941 2 2 0 23 979 993 985
+1942 2 2 0 23 870 876 993
+1943 2 2 0 23 967 993 876
+1944 2 2 0 23 870 993 874
+1945 2 2 0 23 993 919 874
+1946 2 2 0 23 919 993 979
+1947 2 2 0 23 995 904 893
+1948 2 2 0 23 901 957 893
+1949 2 2 0 23 902 882 951
+1950 2 2 0 23 902 951 864
+1951 2 2 0 23 864 951 890
+1952 2 2 0 23 887 860 932
+1953 2 2 0 23 932 941 887
+1954 2 2 0 23 946 887 941
+1955 2 2 0 23 887 946 934
+1956 2 2 0 23 872 965 878
+1957 2 2 0 23 878 967 872
+1958 2 2 0 23 886 913 971
+1959 2 2 0 23 863 950 886
+1960 2 2 0 23 886 907 863
+1961 2 2 0 23 937 886 950
+1962 2 2 0 23 913 886 937
+1963 2 2 0 23 994 875 920
+1964 2 2 0 23 920 978 994
+1965 2 2 0 23 920 875 916
+1966 2 2 0 23 975 895 963
+1967 2 2 0 23 932 860 963
+1968 2 2 0 23 932 963 927
+1969 2 2 0 23 860 975 963
+1970 2 2 0 23 861 984 881
+1971 2 2 0 23 881 899 861
+1972 2 2 0 23 899 881 950
+1973 2 2 0 23 937 950 881
+1974 2 2 0 23 916 914 970
+1975 2 2 0 23 885 970 914
+1976 2 2 0 23 971 915 1008
+1977 2 2 0 23 915 971 913
+1978 2 2 0 23 919 1008 915
+1979 2 2 0 23 948 915 913
+1980 2 2 0 23 874 915 948
+1981 2 2 0 23 919 915 874
+1982 2 2 0 23 1011 924 870
+1983 2 2 0 23 924 1016 870
+1984 2 2 0 23 858 1001 924
+1985 2 2 0 23 996 891 903
+1986 2 2 0 23 876 921 872
+1987 2 2 0 23 872 921 965
+1988 2 2 0 23 965 921 983
+1989 2 2 0 23 983 921 1009
+1990 2 2 0 23 991 935 980
+1991 2 2 0 23 991 945 935
+1992 2 2 0 23 968 980 935
+1993 2 2 0 23 884 1014 935
+1994 2 2 0 23 935 945 884
+1995 2 2 0 23 1014 968 935
+1996 2 2 0 23 895 975 928
+1997 2 2 0 23 928 983 895
+1998 2 2 0 23 895 983 859
+1999 2 2 0 23 888 984 884
+2000 2 2 0 23 984 1014 884
+2001 2 2 0 23 888 857 984
+2002 2 2 0 23 857 974 984
+2003 2 2 0 23 984 861 1014
+2004 2 2 0 23 897 945 991
+2005 2 2 0 23 953 945 897
+2006 2 2 0 23 987 959 917
+2007 2 2 0 23 1013 980 968
+2008 2 2 0 23 927 869 932
+2009 2 2 0 23 882 932 869
+2010 2 2 0 23 932 882 941
+2011 2 2 0 23 876 870 1016
+2012 2 2 0 23 872 967 876
+2013 2 2 0 23 994 1012 877
+2014 2 2 0 23 978 1012 994
+2015 2 2 0 23 944 988 898
+2016 2 2 0 23 944 898 901
+2017 2 2 0 23 888 884 945
+2018 2 2 0 23 888 931 857
+2019 2 2 0 23 931 888 940
+2020 2 2 0 23 945 940 888
+2021 2 2 0 23 882 902 941
+2022 2 2 0 23 902 891 956
+2023 2 2 0 23 891 902 864
+2024 2 2 0 23 929 1004 962
+2025 2 2 0 23 931 929 962
+2026 2 2 0 23 947 1004 929
+2027 2 2 0 23 906 863 907
+2028 2 2 0 23 962 974 857
+2029 2 2 0 23 931 962 857
+2030 2 2 0 23 962 1004 961
+2031 2 2 0 23 961 1015 962
+2032 2 2 0 23 962 964 974
+2033 2 2 0 23 1015 964 962
+2034 2 2 0 23 874 1011 870
+2035 2 2 0 23 948 930 1011
+2036 2 2 0 23 948 1011 874
+2037 2 2 0 23 892 905 862
+2038 2 2 0 23 905 909 862
+2039 2 2 0 23 905 892 982
+2040 2 2 0 23 998 905 982
+2041 2 2 0 23 1000 1001 1002
+2042 2 2 0 23 858 1002 1001
+2043 2 2 0 23 858 925 1002
+2044 2 2 0 23 990 1002 925
+2045 2 2 0 23 1006 873 1012
+2046 2 2 0 23 873 877 1012
+2047 2 2 0 23 879 873 1006
+2048 2 2 0 23 873 879 966
+2049 2 2 0 23 873 966 922
+2050 2 2 0 23 869 927 942
+2051 2 2 0 23 927 966 942
+2052 2 2 0 23 988 934 981
+2053 2 2 0 23 928 965 983
+2054 2 2 0 23 936 880 949
+2055 2 2 0 23 931 940 880
+2056 2 2 0 23 899 950 863
+2057 2 2 0 23 885 862 909
+2058 2 2 0 23 862 885 949
+2059 2 2 0 23 975 1005 928
+2060 2 2 0 23 1012 954 1006
+2061 2 2 0 23 954 1012 978
+2062 2 2 0 23 939 952 889
+2063 2 2 0 23 892 953 976
+2064 2 2 0 23 982 892 976
+2065 2 2 0 23 961 925 858
+2066 2 2 0 23 858 1015 961
+2067 2 2 0 23 940 945 953
+2068 2 2 0 23 968 899 999
+2069 2 2 0 23 999 1013 968
+2070 2 2 0 23 891 864 903
+2071 2 2 0 23 1009 1001 1000
+2072 2 2 0 23 859 1009 1000
+2073 2 2 0 23 859 1000 922
+2074 2 2 0 23 942 966 879
+2075 2 2 0 23 912 869 942
+2076 2 2 0 23 890 910 864
+2077 2 2 0 23 901 898 957
+2078 2 2 0 23 903 864 910
+2079 2 2 0 23 1006 954 958
+2080 2 2 0 23 875 947 916
+2081 2 2 0 23 947 914 916
+2082 2 2 0 23 861 899 968
+2083 2 2 0 23 968 1014 861
+2084 2 2 0 23 983 1009 859
+2085 2 2 0 23 974 964 930
+2086 2 2 0 23 936 949 885
+2087 2 2 0 23 914 936 885
+2088 2 2 0 23 911 939 889
+2089 2 2 0 23 992 981 934
+2090 2 2 0 23 934 946 992
+2091 2 2 0 27 4 41 1158
+2092 2 2 0 27 4 1158 158
+2093 2 2 0 27 5 1156 55
+2094 2 2 0 27 5 131 1156
+2095 2 2 0 27 6 130 1155
+2096 2 2 0 27 6 1155 139
+2097 2 2 0 27 10 1157 116
+2098 2 2 0 27 10 166 1157
+2099 2 2 0 27 42 1065 41
+2100 2 2 0 27 1065 1158 41
+2101 2 2 0 27 42 43 1069
+2102 2 2 0 27 1065 42 1069
+2103 2 2 0 27 44 1045 43
+2104 2 2 0 27 1045 1069 43
+2105 2 2 0 27 44 45 1130
+2106 2 2 0 27 1045 44 1130
+2107 2 2 0 27 46 1167 45
+2108 2 2 0 27 1130 45 1167
+2109 2 2 0 27 47 1080 46
+2110 2 2 0 27 1080 1167 46
+2111 2 2 0 27 48 1138 47
+2112 2 2 0 27 1080 47 1138
+2113 2 2 0 27 49 1114 48
+2114 2 2 0 27 48 1114 1138
+2115 2 2 0 27 49 50 1118
+2116 2 2 0 27 49 1118 1114
+2117 2 2 0 27 50 51 1146
+2118 2 2 0 27 50 1146 1118
+2119 2 2 0 27 52 1132 51
+2120 2 2 0 27 1132 1146 51
+2121 2 2 0 27 52 53 1050
+2122 2 2 0 27 1050 1132 52
+2123 2 2 0 27 54 1070 53
+2124 2 2 0 27 1050 53 1070
+2125 2 2 0 27 54 55 1063
+2126 2 2 0 27 1063 1070 54
+2127 2 2 0 27 1063 55 1156
+2128 2 2 0 27 117 116 1066
+2129 2 2 0 27 1066 116 1157
+2130 2 2 0 27 117 1067 118
+2131 2 2 0 27 1066 1067 117
+2132 2 2 0 27 119 118 1046
+2133 2 2 0 27 1046 118 1067
+2134 2 2 0 27 119 1131 120
+2135 2 2 0 27 1046 1131 119
+2136 2 2 0 27 121 120 1168
+2137 2 2 0 27 1131 1168 120
+2138 2 2 0 27 122 121 1079
+2139 2 2 0 27 1079 121 1168
+2140 2 2 0 27 123 122 1139
+2141 2 2 0 27 1079 1139 122
+2142 2 2 0 27 124 123 1115
+2143 2 2 0 27 123 1139 1115
+2144 2 2 0 27 124 1119 125
+2145 2 2 0 27 124 1115 1119
+2146 2 2 0 27 125 1147 126
+2147 2 2 0 27 125 1119 1147
+2148 2 2 0 27 127 126 1133
+2149 2 2 0 27 1133 126 1147
+2150 2 2 0 27 127 1049 128
+2151 2 2 0 27 1049 127 1133
+2152 2 2 0 27 129 128 1068
+2153 2 2 0 27 1049 1068 128
+2154 2 2 0 27 129 1064 130
+2155 2 2 0 27 1064 129 1068
+2156 2 2 0 27 1064 1155 130
+2157 2 2 0 27 132 1051 131
+2158 2 2 0 27 131 1051 1156
+2159 2 2 0 27 133 1116 132
+2160 2 2 0 27 1051 132 1116
+2161 2 2 0 27 133 134 1056
+2162 2 2 0 27 133 1056 1116
+2163 2 2 0 27 135 1152 134
+2164 2 2 0 27 1056 134 1152
+2165 2 2 0 27 135 136 1141
+2166 2 2 0 27 135 1141 1152
+2167 2 2 0 27 137 1170 136
+2168 2 2 0 27 136 1170 1141
+2169 2 2 0 27 137 138 1117
+2170 2 2 0 27 137 1058 1170
+2171 2 2 0 27 137 1117 1058
+2172 2 2 0 27 138 139 1053
+2173 2 2 0 27 1053 1117 138
+2174 2 2 0 27 139 1155 1053
+2175 2 2 0 27 159 158 1142
+2176 2 2 0 27 158 1158 1142
+2177 2 2 0 27 160 159 1136
+2178 2 2 0 27 159 1142 1136
+2179 2 2 0 27 160 1057 161
+2180 2 2 0 27 1057 160 1113
+2181 2 2 0 27 160 1136 1113
+2182 2 2 0 27 162 161 1151
+2183 2 2 0 27 1057 1151 161
+2184 2 2 0 27 162 1140 163
+2185 2 2 0 27 162 1151 1140
+2186 2 2 0 27 163 1173 164
+2187 2 2 0 27 163 1140 1173
+2188 2 2 0 27 164 1159 165
+2189 2 2 0 27 1159 164 1173
+2190 2 2 0 27 165 1054 166
+2191 2 2 0 27 1054 165 1159
+2192 2 2 0 27 166 1054 1157
+2193 2 2 0 27 1054 1159 1059
+2194 2 2 0 27 1157 1054 1066
+2195 2 2 0 27 1054 1023 1066
+2196 2 2 0 27 1054 1059 1023
+2197 2 2 0 27 1096 1109 1045
+2198 2 2 0 27 1022 1045 1109
+2199 2 2 0 27 1074 1096 1045
+2200 2 2 0 27 1045 1022 1069
+2201 2 2 0 27 1045 1130 1074
+2202 2 2 0 27 1149 1084 1161
+2203 2 2 0 27 1084 1149 1176
+2204 2 2 0 27 1169 1149 1161
+2205 2 2 0 27 1081 1036 1149
+2206 2 2 0 27 1036 1176 1149
+2207 2 2 0 27 1149 1169 1081
+2208 2 2 0 27 1063 1024 1070
+2209 2 2 0 27 1050 1070 1024
+2210 2 2 0 27 1060 1109 1040
+2211 2 2 0 27 1060 1022 1109
+2212 2 2 0 27 1040 1100 1060
+2213 2 2 0 27 1052 1060 1113
+2214 2 2 0 27 1100 1113 1060
+2215 2 2 0 27 1052 1022 1060
+2216 2 2 0 27 1096 1040 1109
+2217 2 2 0 27 1034 1075 1108
+2218 2 2 0 27 1108 1171 1034
+2219 2 2 0 27 1108 1075 1073
+2220 2 2 0 27 1108 1090 1171
+2221 2 2 0 27 1026 1090 1108
+2222 2 2 0 27 1073 1026 1108
+2223 2 2 0 27 1074 1107 1027
+2224 2 2 0 27 1027 1107 1089
+2225 2 2 0 27 1107 1129 1164
+2226 2 2 0 27 1107 1164 1089
+2227 2 2 0 27 1035 1107 1076
+2228 2 2 0 27 1107 1035 1129
+2229 2 2 0 27 1107 1074 1076
+2230 2 2 0 27 1093 1041 1144
+2231 2 2 0 27 1041 1093 1026
+2232 2 2 0 27 1134 1093 1144
+2233 2 2 0 27 1093 1134 1090
+2234 2 2 0 27 1090 1026 1093
+2235 2 2 0 27 1172 1114 1166
+2236 2 2 0 27 1114 1172 1138
+2237 2 2 0 27 1166 1114 1118
+2238 2 2 0 27 1021 1144 1041
+2239 2 2 0 27 1041 1059 1021
+2240 2 2 0 27 1128 1174 1021
+2241 2 2 0 27 1021 1059 1128
+2242 2 2 0 27 1144 1021 1174
+2243 2 2 0 27 1148 1094 1141
+2244 2 2 0 27 1152 1141 1094
+2245 2 2 0 27 1120 1094 1148
+2246 2 2 0 27 1094 1106 1152
+2247 2 2 0 27 1047 1106 1094
+2248 2 2 0 27 1047 1094 1120
+2249 2 2 0 27 1101 1056 1106
+2250 2 2 0 27 1101 1062 1056
+2251 2 2 0 27 1056 1152 1106
+2252 2 2 0 27 1062 1116 1056
+2253 2 2 0 27 1102 1126 1038
+2254 2 2 0 27 1087 1126 1102
+2255 2 2 0 27 1033 1038 1126
+2256 2 2 0 27 1087 1137 1126
+2257 2 2 0 27 1126 1137 1082
+2258 2 2 0 27 1033 1126 1082
+2259 2 2 0 27 1043 1028 1165
+2260 2 2 0 27 1028 1088 1165
+2261 2 2 0 27 1165 1104 1043
+2262 2 2 0 27 1104 1165 1120
+2263 2 2 0 27 1135 1165 1088
+2264 2 2 0 27 1135 1120 1165
+2265 2 2 0 27 1079 1075 1034
+2266 2 2 0 27 1034 1171 1030
+2267 2 2 0 27 1153 1079 1034
+2268 2 2 0 27 1030 1153 1034
+2269 2 2 0 27 1072 1029 1102
+2270 2 2 0 27 1102 1078 1072
+2271 2 2 0 27 1038 1078 1102
+2272 2 2 0 27 1029 1087 1102
+2273 2 2 0 27 1040 1096 1027
+2274 2 2 0 27 1074 1027 1096
+2275 2 2 0 27 1040 1027 1091
+2276 2 2 0 27 1089 1091 1027
+2277 2 2 0 27 1122 1164 1121
+2278 2 2 0 27 1089 1164 1122
+2279 2 2 0 27 1121 1164 1129
+2280 2 2 0 27 1138 1172 1154
+2281 2 2 0 27 1154 1172 1037
+2282 2 2 0 27 1166 1033 1172
+2283 2 2 0 27 1033 1037 1172
+2284 2 2 0 27 1128 1059 1159
+2285 2 2 0 27 1159 1173 1128
+2286 2 2 0 27 1079 1168 1075
+2287 2 2 0 27 1131 1075 1168
+2288 2 2 0 27 1075 1131 1073
+2289 2 2 0 27 1039 1103 1077
+2290 2 2 0 27 1103 1071 1077
+2291 2 2 0 27 1071 1103 1028
+2292 2 2 0 27 1028 1103 1088
+2293 2 2 0 27 1039 1125 1103
+2294 2 2 0 27 1088 1103 1125
+2295 2 2 0 27 1048 1144 1044
+2296 2 2 0 27 1048 1017 1144
+2297 2 2 0 27 1091 1048 1100
+2298 2 2 0 27 1105 1100 1048
+2299 2 2 0 27 1048 1091 1017
+2300 2 2 0 27 1048 1044 1105
+2301 2 2 0 27 1084 1171 1086
+2302 2 2 0 27 1171 1084 1030
+2303 2 2 0 27 1086 1171 1090
+2304 2 2 0 27 1086 1018 1084
+2305 2 2 0 27 1018 1161 1084
+2306 2 2 0 27 1084 1176 1030
+2307 2 2 0 27 1055 1019 1137
+2308 2 2 0 27 1055 1143 1019
+2309 2 2 0 27 1055 1137 1123
+2310 2 2 0 27 1135 1055 1123
+2311 2 2 0 27 1088 1143 1055
+2312 2 2 0 27 1055 1135 1088
+2313 2 2 0 27 1053 1064 1025
+2314 2 2 0 27 1064 1068 1025
+2315 2 2 0 27 1025 1049 1112
+2316 2 2 0 27 1061 1025 1112
+2317 2 2 0 27 1053 1025 1061
+2318 2 2 0 27 1049 1025 1068
+2319 2 2 0 27 1106 1047 1101
+2320 2 2 0 27 1092 1101 1047
+2321 2 2 0 27 1042 1062 1101
+2322 2 2 0 27 1092 1042 1101
+2323 2 2 0 27 1050 1072 1132
+2324 2 2 0 27 1078 1132 1072
+2325 2 2 0 27 1132 1078 1146
+2326 2 2 0 27 1091 1100 1040
+2327 2 2 0 27 1113 1105 1057
+2328 2 2 0 27 1057 1105 1151
+2329 2 2 0 27 1170 1148 1141
+2330 2 2 0 27 1059 1041 1110
+2331 2 2 0 27 1097 1110 1041
+2332 2 2 0 27 1041 1026 1097
+2333 2 2 0 27 1147 1119 1077
+2334 2 2 0 27 1077 1119 1083
+2335 2 2 0 27 1119 1115 1083
+2336 2 2 0 27 1079 1153 1139
+2337 2 2 0 27 1031 1035 1154
+2338 2 2 0 27 1154 1035 1080
+2339 2 2 0 27 1035 1031 1129
+2340 2 2 0 27 1080 1035 1076
+2341 2 2 0 27 1071 1028 1099
+2342 2 2 0 27 1043 1099 1028
+2343 2 2 0 27 1099 1043 1112
+2344 2 2 0 27 1099 1112 1049
+2345 2 2 0 27 1071 1099 1049
+2346 2 2 0 27 1155 1064 1053
+2347 2 2 0 27 1104 1148 1058
+2348 2 2 0 27 1104 1120 1148
+2349 2 2 0 27 1148 1170 1058
+2350 2 2 0 27 1077 1083 1039
+2351 2 2 0 27 1077 1071 1133
+2352 2 2 0 27 1133 1147 1077
+2353 2 2 0 27 1031 1154 1037
+2354 2 2 0 27 1080 1138 1154
+2355 2 2 0 27 1039 1127 1032
+2356 2 2 0 27 1083 1127 1039
+2357 2 2 0 27 1032 1125 1039
+2358 2 2 0 27 1052 1113 1136
+2359 2 2 0 27 1100 1105 1113
+2360 2 2 0 27 1098 1050 1111
+2361 2 2 0 27 1098 1111 1042
+2362 2 2 0 27 1062 1111 1024
+2363 2 2 0 27 1062 1042 1111
+2364 2 2 0 27 1024 1111 1050
+2365 2 2 0 27 1090 1124 1086
+2366 2 2 0 27 1124 1175 1086
+2367 2 2 0 27 1018 1086 1175
+2368 2 2 0 27 1129 1031 1085
+2369 2 2 0 27 1031 1037 1150
+2370 2 2 0 27 1085 1031 1150
+2371 2 2 0 27 1174 1128 1095
+2372 2 2 0 27 1128 1140 1095
+2373 2 2 0 27 1044 1174 1095
+2374 2 2 0 27 1151 1095 1140
+2375 2 2 0 27 1095 1105 1044
+2376 2 2 0 27 1151 1105 1095
+2377 2 2 0 27 1061 1112 1043
+2378 2 2 0 27 1072 1098 1029
+2379 2 2 0 27 1072 1050 1098
+2380 2 2 0 27 1038 1033 1166
+2381 2 2 0 27 1078 1038 1166
+2382 2 2 0 27 1078 1166 1118
+2383 2 2 0 27 1127 1153 1036
+2384 2 2 0 27 1032 1127 1036
+2385 2 2 0 27 1145 1153 1127
+2386 2 2 0 27 1127 1083 1145
+2387 2 2 0 27 1049 1133 1071
+2388 2 2 0 27 1160 1161 1162
+2389 2 2 0 27 1018 1162 1161
+2390 2 2 0 27 1169 1161 1160
+2391 2 2 0 27 1173 1140 1128
+2392 2 2 0 27 1163 1160 1162
+2393 2 2 0 27 1150 1162 1085
+2394 2 2 0 27 1018 1085 1162
+2395 2 2 0 27 1150 1163 1162
+2396 2 2 0 27 1043 1104 1061
+2397 2 2 0 27 1062 1051 1116
+2398 2 2 0 27 1156 1051 1063
+2399 2 2 0 27 1051 1024 1063
+2400 2 2 0 27 1051 1062 1024
+2401 2 2 0 27 1144 1174 1044
+2402 2 2 0 27 1019 1169 1160
+2403 2 2 0 27 1019 1160 1082
+2404 2 2 0 27 1137 1019 1082
+2405 2 2 0 27 1143 1169 1019
+2406 2 2 0 27 1061 1117 1053
+2407 2 2 0 27 1142 1052 1136
+2408 2 2 0 27 1115 1139 1145
+2409 2 2 0 27 1115 1145 1083
+2410 2 2 0 27 1065 1069 1022
+2411 2 2 0 27 1158 1065 1142
+2412 2 2 0 27 1065 1052 1142
+2413 2 2 0 27 1052 1065 1022
+2414 2 2 0 27 1139 1153 1145
+2415 2 2 0 27 1066 1023 1067
+2416 2 2 0 27 1046 1067 1023
+2417 2 2 0 27 1146 1078 1118
+2418 2 2 0 27 1017 1134 1144
+2419 2 2 0 27 1076 1074 1130
+2420 2 2 0 27 1046 1073 1131
+2421 2 2 0 27 1023 1110 1046
+2422 2 2 0 27 1097 1046 1110
+2423 2 2 0 27 1073 1046 1097
+2424 2 2 0 27 1091 1122 1017
+2425 2 2 0 27 1091 1089 1122
+2426 2 2 0 27 1121 1175 1122
+2427 2 2 0 27 1175 1124 1122
+2428 2 2 0 27 1122 1124 1134
+2429 2 2 0 27 1122 1134 1017
+2430 2 2 0 27 1030 1036 1153
+2431 2 2 0 27 1036 1030 1176
+2432 2 2 0 27 1036 1081 1032
+2433 2 2 0 27 1137 1087 1123
+2434 2 2 0 27 1092 1020 1123
+2435 2 2 0 27 1092 1123 1087
+2436 2 2 0 27 1020 1135 1123
+2437 2 2 0 27 1042 1029 1098
+2438 2 2 0 27 1160 1163 1082
+2439 2 2 0 27 1059 1110 1023
+2440 2 2 0 27 1134 1124 1090
+2441 2 2 0 27 1047 1020 1092
+2442 2 2 0 27 1047 1120 1020
+2443 2 2 0 27 1042 1092 1029
+2444 2 2 0 27 1087 1029 1092
+2445 2 2 0 27 1104 1058 1061
+2446 2 2 0 27 1085 1121 1129
+2447 2 2 0 27 1018 1175 1121
+2448 2 2 0 27 1121 1085 1018
+2449 2 2 0 27 1073 1097 1026
+2450 2 2 0 27 1080 1076 1167
+2451 2 2 0 27 1130 1167 1076
+2452 2 2 0 27 1143 1081 1169
+2453 2 2 0 27 1125 1081 1143
+2454 2 2 0 27 1032 1081 1125
+2455 2 2 0 27 1037 1033 1163
+2456 2 2 0 27 1163 1033 1082
+2457 2 2 0 27 1037 1163 1150
+2458 2 2 0 27 1088 1125 1143
+2459 2 2 0 27 1061 1058 1117
+2460 2 2 0 27 1020 1120 1135
+2461 2 2 0 28 71 1513 6
+2462 2 2 0 28 6 1492 130
+2463 2 2 0 28 1513 1492 6
+2464 2 2 0 28 8 1480 85
+2465 2 2 0 28 86 1480 8
+2466 2 2 0 28 9 1501 100
+2467 2 2 0 28 9 101 1501
+2468 2 2 0 28 115 10 1506
+2469 2 2 0 28 116 1381 10
+2470 2 2 0 28 1506 10 1381
+2471 2 2 0 28 71 72 1286
+2472 2 2 0 28 1513 71 1286
+2473 2 2 0 28 1398 72 73
+2474 2 2 0 28 1286 72 1398
+2475 2 2 0 28 74 1447 73
+2476 2 2 0 28 1398 73 1447
+2477 2 2 0 28 74 75 1476
+2478 2 2 0 28 1476 1447 74
+2479 2 2 0 28 76 1207 75
+2480 2 2 0 28 1207 1476 75
+2481 2 2 0 28 77 1200 76
+2482 2 2 0 28 1200 1207 76
+2483 2 2 0 28 77 78 1289
+2484 2 2 0 28 77 1289 1200
+2485 2 2 0 28 79 1289 78
+2486 2 2 0 28 80 1424 79
+2487 2 2 0 28 79 1424 1289
+2488 2 2 0 28 80 81 1252
+2489 2 2 0 28 80 1252 1424
+2490 2 2 0 28 81 82 1429
+2491 2 2 0 28 81 1429 1252
+2492 2 2 0 28 83 1423 82
+2493 2 2 0 28 82 1423 1431
+2494 2 2 0 28 82 1431 1429
+2495 2 2 0 28 84 1198 83
+2496 2 2 0 28 83 1198 1423
+2497 2 2 0 28 85 1490 84
+2498 2 2 0 28 1490 1198 84
+2499 2 2 0 28 1490 85 1496
+2500 2 2 0 28 85 1480 1496
+2501 2 2 0 28 1495 86 87
+2502 2 2 0 28 86 1495 1488
+2503 2 2 0 28 1480 86 1488
+2504 2 2 0 28 88 1408 87
+2505 2 2 0 28 1408 1495 87
+2506 2 2 0 28 88 89 1294
+2507 2 2 0 28 1294 1408 88
+2508 2 2 0 28 90 1405 89
+2509 2 2 0 28 1294 89 1405
+2510 2 2 0 28 91 1350 90
+2511 2 2 0 28 1350 1405 90
+2512 2 2 0 28 92 1265 91
+2513 2 2 0 28 1265 1350 91
+2514 2 2 0 28 93 1450 92
+2515 2 2 0 28 1450 1265 92
+2516 2 2 0 28 93 94 1201
+2517 2 2 0 28 93 1201 1450
+2518 2 2 0 28 95 1201 94
+2519 2 2 0 28 96 1210 95
+2520 2 2 0 28 1264 1201 95
+2521 2 2 0 28 1264 95 1210
+2522 2 2 0 28 97 1290 96
+2523 2 2 0 28 1290 1210 96
+2524 2 2 0 28 98 1505 97
+2525 2 2 0 28 1505 1290 97
+2526 2 2 0 28 99 1524 98
+2527 2 2 0 28 1524 1505 98
+2528 2 2 0 28 1514 99 100
+2529 2 2 0 28 99 1203 1524
+2530 2 2 0 28 1514 1203 99
+2531 2 2 0 28 1501 1514 100
+2532 2 2 0 28 1485 101 102
+2533 2 2 0 28 1501 101 1485
+2534 2 2 0 28 103 1211 102
+2535 2 2 0 28 1484 1485 102
+2536 2 2 0 28 102 1211 1484
+2537 2 2 0 28 104 1211 103
+2538 2 2 0 28 105 1459 104
+2539 2 2 0 28 1211 104 1459
+2540 2 2 0 28 105 106 1464
+2541 2 2 0 28 1459 105 1464
+2542 2 2 0 28 106 107 1291
+2543 2 2 0 28 106 1291 1464
+2544 2 2 0 28 107 108 1436
+2545 2 2 0 28 107 1436 1291
+2546 2 2 0 28 108 109 1390
+2547 2 2 0 28 1390 1436 108
+2548 2 2 0 28 110 1498 109
+2549 2 2 0 28 1498 1390 109
+2550 2 2 0 28 110 111 1473
+2551 2 2 0 28 1473 1498 110
+2552 2 2 0 28 1473 111 112
+2553 2 2 0 28 112 113 1224
+2554 2 2 0 28 1473 112 1224
+2555 2 2 0 28 113 114 1382
+2556 2 2 0 28 1382 1224 113
+2557 2 2 0 28 114 115 1402
+2558 2 2 0 28 114 1402 1382
+2559 2 2 0 28 1506 1402 115
+2560 2 2 0 28 117 1508 116
+2561 2 2 0 28 1508 1381 116
+2562 2 2 0 28 117 118 1273
+2563 2 2 0 28 1273 1508 117
+2564 2 2 0 28 118 119 1250
+2565 2 2 0 28 1250 1273 118
+2566 2 2 0 28 120 1262 119
+2567 2 2 0 28 1262 1250 119
+2568 2 2 0 28 1394 120 121
+2569 2 2 0 28 120 1394 1262
+2570 2 2 0 28 121 122 1208
+2571 2 2 0 28 121 1208 1394
+2572 2 2 0 28 122 123 1202
+2573 2 2 0 28 1208 122 1202
+2574 2 2 0 28 124 1478 123
+2575 2 2 0 28 123 1478 1202
+2576 2 2 0 28 125 1466 124
+2577 2 2 0 28 124 1466 1478
+2578 2 2 0 28 125 126 1295
+2579 2 2 0 28 125 1295 1466
+2580 2 2 0 28 126 127 1271
+2581 2 2 0 28 1271 1295 126
+2582 2 2 0 28 127 128 1205
+2583 2 2 0 28 1271 127 1205
+2584 2 2 0 28 129 1502 128
+2585 2 2 0 28 1502 1205 128
+2586 2 2 0 28 130 1515 129
+2587 2 2 0 28 1515 1502 129
+2588 2 2 0 28 130 1492 1515
+2589 2 2 0 28 1400 1252 1429
+2590 2 2 0 28 1344 1424 1252
+2591 2 2 0 28 1252 1400 1344
+2592 2 2 0 28 1375 1359 1326
+2593 2 2 0 28 1326 1359 1198
+2594 2 2 0 28 1323 1215 1326
+2595 2 2 0 28 1326 1491 1323
+2596 2 2 0 28 1326 1215 1375
+2597 2 2 0 28 1198 1491 1326
+2598 2 2 0 28 1258 1457 1393
+2599 2 2 0 28 1258 1393 1387
+2600 2 2 0 28 1387 1391 1258
+2601 2 2 0 28 1258 1391 1445
+2602 2 2 0 28 1457 1258 1445
+2603 2 2 0 28 1284 1507 1520
+2604 2 2 0 28 1521 1520 1507
+2605 2 2 0 28 1284 1525 1507
+2606 2 2 0 28 1485 1521 1507
+2607 2 2 0 28 1501 1507 1525
+2608 2 2 0 28 1507 1501 1485
+2609 2 2 0 28 1357 1348 1511
+2610 2 2 0 28 1357 1511 1224
+2611 2 2 0 28 1348 1298 1511
+2612 2 2 0 28 1511 1298 1510
+2613 2 2 0 28 1511 1510 1473
+2614 2 2 0 28 1473 1224 1511
+2615 2 2 0 28 1398 1447 1460
+2616 2 2 0 28 1460 1447 1476
+2617 2 2 0 28 1283 1522 1487
+2618 2 2 0 28 1283 1515 1522
+2619 2 2 0 28 1504 1522 1286
+2620 2 2 0 28 1522 1513 1286
+2621 2 2 0 28 1504 1487 1522
+2622 2 2 0 28 1522 1515 1492
+2623 2 2 0 28 1492 1513 1522
+2624 2 2 0 28 1371 1191 1411
+2625 2 2 0 28 1191 1361 1411
+2626 2 2 0 28 1371 1448 1191
+2627 2 2 0 28 1386 1191 1448
+2628 2 2 0 28 1361 1191 1386
+2629 2 2 0 28 1460 1468 1518
+2630 2 2 0 28 1460 1518 1504
+2631 2 2 0 28 1487 1518 1468
+2632 2 2 0 28 1487 1504 1518
+2633 2 2 0 28 1428 1499 1488
+2634 2 2 0 28 1311 1499 1428
+2635 2 2 0 28 1311 1323 1499
+2636 2 2 0 28 1491 1499 1323
+2637 2 2 0 28 1499 1480 1488
+2638 2 2 0 28 1480 1499 1496
+2639 2 2 0 28 1499 1491 1496
+2640 2 2 0 28 1406 1428 1456
+2641 2 2 0 28 1456 1427 1406
+2642 2 2 0 28 1428 1406 1392
+2643 2 2 0 28 1392 1406 1234
+2644 2 2 0 28 1406 1427 1234
+2645 2 2 0 28 1431 1423 1359
+2646 2 2 0 28 1359 1423 1198
+2647 2 2 0 28 1457 1380 1393
+2648 2 2 0 28 1393 1366 1387
+2649 2 2 0 28 1366 1393 1209
+2650 2 2 0 28 1380 1209 1393
+2651 2 2 0 28 1414 1257 1360
+2652 2 2 0 28 1257 1414 1200
+2653 2 2 0 28 1437 1414 1360
+2654 2 2 0 28 1280 1200 1414
+2655 2 2 0 28 1437 1280 1414
+2656 2 2 0 28 1449 1391 1387
+2657 2 2 0 28 1222 1391 1449
+2658 2 2 0 28 1356 1391 1222
+2659 2 2 0 28 1445 1391 1356
+2660 2 2 0 28 1331 1469 1186
+2661 2 2 0 28 1301 1331 1186
+2662 2 2 0 28 1358 1300 1331
+2663 2 2 0 28 1225 1358 1331
+2664 2 2 0 28 1331 1300 1469
+2665 2 2 0 28 1331 1301 1309
+2666 2 2 0 28 1225 1331 1309
+2667 2 2 0 28 1430 1360 1257
+2668 2 2 0 28 1289 1430 1257
+2669 2 2 0 28 1257 1200 1289
+2670 2 2 0 28 1203 1494 1524
+2671 2 2 0 28 1203 1525 1526
+2672 2 2 0 28 1525 1203 1514
+2673 2 2 0 28 1203 1526 1494
+2674 2 2 0 28 1415 1461 1465
+2675 2 2 0 28 1415 1465 1464
+2676 2 2 0 28 1461 1481 1465
+2677 2 2 0 28 1459 1464 1465
+2678 2 2 0 28 1459 1465 1481
+2679 2 2 0 28 1403 1401 1247
+2680 2 2 0 28 1247 1346 1403
+2681 2 2 0 28 1399 1247 1401
+2682 2 2 0 28 1247 1399 1362
+2683 2 2 0 28 1247 1362 1346
+2684 2 2 0 28 1229 1420 1413
+2685 2 2 0 28 1420 1338 1413
+2686 2 2 0 28 1259 1195 1420
+2687 2 2 0 28 1440 1259 1420
+2688 2 2 0 28 1338 1420 1195
+2689 2 2 0 28 1229 1440 1420
+2690 2 2 0 28 1291 1452 1464
+2691 2 2 0 28 1291 1436 1452
+2692 2 2 0 28 1352 1316 1186
+2693 2 2 0 28 1352 1186 1489
+2694 2 2 0 28 1469 1489 1186
+2695 2 2 0 28 1301 1186 1316
+2696 2 2 0 28 1277 1261 1500
+2697 2 2 0 28 1277 1500 1274
+2698 2 2 0 28 1206 1500 1261
+2699 2 2 0 28 1206 1274 1500
+2700 2 2 0 28 1335 1355 1192
+2701 2 2 0 28 1354 1192 1355
+2702 2 2 0 28 1335 1192 1341
+2703 2 2 0 28 1318 1192 1354
+2704 2 2 0 28 1318 1336 1192
+2705 2 2 0 28 1341 1192 1362
+2706 2 2 0 28 1336 1362 1192
+2707 2 2 0 28 1246 1264 1183
+2708 2 2 0 28 1183 1275 1246
+2709 2 2 0 28 1210 1183 1264
+2710 2 2 0 28 1183 1290 1263
+2711 2 2 0 28 1183 1263 1503
+2712 2 2 0 28 1210 1290 1183
+2713 2 2 0 28 1183 1503 1275
+2714 2 2 0 28 1456 1428 1488
+2715 2 2 0 28 1249 1427 1456
+2716 2 2 0 28 1495 1249 1456
+2717 2 2 0 28 1456 1488 1495
+2718 2 2 0 28 1277 1248 1407
+2719 2 2 0 28 1277 1407 1197
+2720 2 2 0 28 1261 1277 1197
+2721 2 2 0 28 1182 1277 1274
+2722 2 2 0 28 1248 1277 1182
+2723 2 2 0 28 1181 1287 1463
+2724 2 2 0 28 1292 1463 1287
+2725 2 2 0 28 1181 1293 1287
+2726 2 2 0 28 1293 1278 1287
+2727 2 2 0 28 1287 1196 1292
+2728 2 2 0 28 1278 1196 1287
+2729 2 2 0 28 1284 1520 1260
+2730 2 2 0 28 1204 1260 1520
+2731 2 2 0 28 1204 1520 1521
+2732 2 2 0 28 1451 1467 1190
+2733 2 2 0 28 1432 1451 1190
+2734 2 2 0 28 1450 1190 1467
+2735 2 2 0 28 1276 1190 1450
+2736 2 2 0 28 1276 1454 1190
+2737 2 2 0 28 1432 1190 1454
+2738 2 2 0 28 1266 1267 1180
+2739 2 2 0 28 1180 1446 1266
+2740 2 2 0 28 1266 1292 1196
+2741 2 2 0 28 1292 1266 1446
+2742 2 2 0 28 1266 1196 1268
+2743 2 2 0 28 1268 1267 1266
+2744 2 2 0 28 1245 1329 1351
+2745 2 2 0 28 1351 1329 1303
+2746 2 2 0 28 1321 1245 1351
+2747 2 2 0 28 1303 1214 1351
+2748 2 2 0 28 1351 1349 1321
+2749 2 2 0 28 1214 1349 1351
+2750 2 2 0 28 1288 1283 1509
+2751 2 2 0 28 1283 1288 1182
+2752 2 2 0 28 1288 1509 1199
+2753 2 2 0 28 1248 1182 1288
+2754 2 2 0 28 1248 1288 1199
+2755 2 2 0 28 1439 1384 1434
+2756 2 2 0 28 1222 1439 1434
+2757 2 2 0 28 1242 1439 1352
+2758 2 2 0 28 1352 1439 1222
+2759 2 2 0 28 1384 1439 1242
+2760 2 2 0 28 1299 1215 1370
+2761 2 2 0 28 1370 1310 1299
+2762 2 2 0 28 1215 1323 1370
+2763 2 2 0 28 1370 1323 1311
+2764 2 2 0 28 1311 1223 1370
+2765 2 2 0 28 1223 1310 1370
+2766 2 2 0 28 1378 1404 1243
+2767 2 2 0 28 1435 1404 1378
+2768 2 2 0 28 1236 1378 1243
+2769 2 2 0 28 1378 1240 1435
+2770 2 2 0 28 1378 1438 1240
+2771 2 2 0 28 1378 1236 1438
+2772 2 2 0 28 1181 1466 1295
+2773 2 2 0 28 1478 1466 1181
+2774 2 2 0 28 1299 1188 1308
+2775 2 2 0 28 1299 1310 1188
+2776 2 2 0 28 1345 1299 1308
+2777 2 2 0 28 1299 1345 1215
+2778 2 2 0 28 1461 1415 1395
+2779 2 2 0 28 1415 1376 1395
+2780 2 2 0 28 1415 1464 1452
+2781 2 2 0 28 1415 1320 1376
+2782 2 2 0 28 1320 1415 1452
+2783 2 2 0 28 1413 1305 1337
+2784 2 2 0 28 1305 1413 1213
+2785 2 2 0 28 1229 1413 1337
+2786 2 2 0 28 1338 1213 1413
+2787 2 2 0 28 1359 1231 1431
+2788 2 2 0 28 1231 1359 1375
+2789 2 2 0 28 1358 1348 1357
+2790 2 2 0 28 1220 1358 1357
+2791 2 2 0 28 1357 1224 1382
+2792 2 2 0 28 1382 1474 1357
+2793 2 2 0 28 1220 1357 1474
+2794 2 2 0 28 1269 1284 1512
+2795 2 2 0 28 1284 1269 1526
+2796 2 2 0 28 1269 1251 1244
+2797 2 2 0 28 1269 1244 1494
+2798 2 2 0 28 1251 1269 1512
+2799 2 2 0 28 1494 1526 1269
+2800 2 2 0 28 1256 1453 1516
+2801 2 2 0 28 1256 1483 1453
+2802 2 2 0 28 1453 1469 1300
+2803 2 2 0 28 1300 1220 1453
+2804 2 2 0 28 1220 1516 1453
+2805 2 2 0 28 1469 1453 1483
+2806 2 2 0 28 1467 1451 1479
+2807 2 2 0 28 1432 1448 1451
+2808 2 2 0 28 1448 1241 1451
+2809 2 2 0 28 1241 1479 1451
+2810 2 2 0 28 1263 1505 1524
+2811 2 2 0 28 1524 1494 1263
+2812 2 2 0 28 1431 1400 1429
+2813 2 2 0 28 1400 1431 1231
+2814 2 2 0 28 1379 1380 1409
+2815 2 2 0 28 1379 1209 1380
+2816 2 2 0 28 1372 1209 1379
+2817 2 2 0 28 1372 1379 1442
+2818 2 2 0 28 1409 1218 1379
+2819 2 2 0 28 1312 1379 1218
+2820 2 2 0 28 1442 1379 1312
+2821 2 2 0 28 1369 1360 1327
+2822 2 2 0 28 1327 1360 1185
+2823 2 2 0 28 1185 1360 1430
+2824 2 2 0 28 1437 1360 1369
+2825 2 2 0 28 1260 1512 1284
+2826 2 2 0 28 1284 1526 1525
+2827 2 2 0 28 1509 1283 1487
+2828 2 2 0 28 1283 1182 1523
+2829 2 2 0 28 1283 1523 1515
+2830 2 2 0 28 1348 1358 1225
+2831 2 2 0 28 1300 1358 1220
+2832 2 2 0 28 1276 1264 1246
+2833 2 2 0 28 1276 1246 1454
+2834 2 2 0 28 1246 1275 1444
+2835 2 2 0 28 1246 1444 1454
+2836 2 2 0 28 1380 1457 1409
+2837 2 2 0 28 1409 1457 1253
+2838 2 2 0 28 1457 1433 1253
+2839 2 2 0 28 1445 1433 1457
+2840 2 2 0 28 1382 1402 1474
+2841 2 2 0 28 1506 1474 1402
+2842 2 2 0 28 1292 1202 1463
+2843 2 2 0 28 1478 1463 1202
+2844 2 2 0 28 1202 1292 1282
+2845 2 2 0 28 1202 1282 1208
+2846 2 2 0 28 1178 1401 1403
+2847 2 2 0 28 1178 1403 1245
+2848 2 2 0 28 1343 1245 1403
+2849 2 2 0 28 1403 1346 1343
+2850 2 2 0 28 1463 1478 1181
+2851 2 2 0 28 1262 1394 1472
+2852 2 2 0 28 1262 1472 1250
+2853 2 2 0 28 1377 1306 1297
+2854 2 2 0 28 1297 1306 1177
+2855 2 2 0 28 1297 1214 1377
+2856 2 2 0 28 1297 1177 1312
+2857 2 2 0 28 1297 1349 1214
+2858 2 2 0 28 1349 1297 1312
+2859 2 2 0 28 1181 1295 1293
+2860 2 2 0 28 1408 1294 1249
+2861 2 2 0 28 1408 1249 1495
+2862 2 2 0 28 1271 1285 1295
+2863 2 2 0 28 1271 1205 1281
+2864 2 2 0 28 1285 1271 1281
+2865 2 2 0 28 1282 1180 1472
+2866 2 2 0 28 1472 1180 1497
+2867 2 2 0 28 1270 1250 1472
+2868 2 2 0 28 1472 1497 1270
+2869 2 2 0 28 1472 1394 1282
+2870 2 2 0 28 1411 1373 1371
+2871 2 2 0 28 1411 1361 1325
+2872 2 2 0 28 1325 1232 1411
+2873 2 2 0 28 1232 1373 1411
+2874 2 2 0 28 1367 1307 1471
+2875 2 2 0 28 1475 1367 1471
+2876 2 2 0 28 1298 1187 1471
+2877 2 2 0 28 1298 1471 1307
+2878 2 2 0 28 1187 1475 1471
+2879 2 2 0 28 1201 1264 1276
+2880 2 2 0 28 1436 1390 1367
+2881 2 2 0 28 1390 1307 1367
+2882 2 2 0 28 1390 1498 1307
+2883 2 2 0 28 1272 1259 1260
+2884 2 2 0 28 1204 1272 1260
+2885 2 2 0 28 1259 1194 1260
+2886 2 2 0 28 1260 1194 1512
+2887 2 2 0 28 1296 1226 1366
+2888 2 2 0 28 1296 1366 1209
+2889 2 2 0 28 1366 1226 1387
+2890 2 2 0 28 1279 1458 1272
+2891 2 2 0 28 1272 1204 1279
+2892 2 2 0 28 1259 1272 1195
+2893 2 2 0 28 1195 1272 1458
+2894 2 2 0 28 1319 1188 1329
+2895 2 2 0 28 1303 1329 1188
+2896 2 2 0 28 1343 1319 1329
+2897 2 2 0 28 1245 1343 1329
+2898 2 2 0 28 1348 1339 1298
+2899 2 2 0 28 1225 1339 1348
+2900 2 2 0 28 1459 1481 1279
+2901 2 2 0 28 1211 1459 1279
+2902 2 2 0 28 1279 1481 1458
+2903 2 2 0 28 1279 1204 1484
+2904 2 2 0 28 1279 1484 1211
+2905 2 2 0 28 1449 1316 1352
+2906 2 2 0 28 1352 1222 1449
+2907 2 2 0 28 1387 1226 1449
+2908 2 2 0 28 1226 1316 1449
+2909 2 2 0 28 1425 1397 1385
+2910 2 2 0 28 1228 1397 1425
+2911 2 2 0 28 1385 1397 1240
+2912 2 2 0 28 1240 1397 1435
+2913 2 2 0 28 1435 1397 1365
+2914 2 2 0 28 1365 1397 1228
+2915 2 2 0 28 1388 1461 1395
+2916 2 2 0 28 1388 1395 1221
+2917 2 2 0 28 1376 1221 1395
+2918 2 2 0 28 1426 1399 1401
+2919 2 2 0 28 1399 1426 1228
+2920 2 2 0 28 1253 1426 1401
+2921 2 2 0 28 1253 1433 1426
+2922 2 2 0 28 1365 1228 1426
+2923 2 2 0 28 1433 1365 1426
+2924 2 2 0 28 1516 1519 1256
+2925 2 2 0 28 1486 1256 1519
+2926 2 2 0 28 1256 1486 1189
+2927 2 2 0 28 1256 1189 1483
+2928 2 2 0 28 1305 1213 1372
+2929 2 2 0 28 1305 1372 1442
+2930 2 2 0 28 1314 1372 1213
+2931 2 2 0 28 1372 1314 1209
+2932 2 2 0 28 1430 1424 1344
+2933 2 2 0 28 1424 1430 1289
+2934 2 2 0 28 1184 1517 1468
+2935 2 2 0 28 1443 1468 1517
+2936 2 2 0 28 1184 1235 1517
+2937 2 2 0 28 1443 1517 1368
+2938 2 2 0 28 1235 1368 1517
+2939 2 2 0 28 1295 1285 1293
+2940 2 2 0 28 1285 1206 1293
+2941 2 2 0 28 1278 1293 1206
+2942 2 2 0 28 1350 1265 1467
+2943 2 2 0 28 1350 1467 1479
+2944 2 2 0 28 1265 1450 1467
+2945 2 2 0 28 1290 1505 1263
+2946 2 2 0 28 1503 1263 1494
+2947 2 2 0 28 1519 1508 1273
+2948 2 2 0 28 1486 1519 1273
+2949 2 2 0 28 1486 1273 1270
+2950 2 2 0 28 1250 1270 1273
+2951 2 2 0 28 1180 1267 1482
+2952 2 2 0 28 1482 1497 1180
+2953 2 2 0 28 1189 1270 1482
+2954 2 2 0 28 1482 1270 1497
+2955 2 2 0 28 1189 1482 1255
+2956 2 2 0 28 1255 1482 1267
+2957 2 2 0 28 1286 1398 1504
+2958 2 2 0 28 1327 1217 1369
+2959 2 2 0 28 1327 1185 1347
+2960 2 2 0 28 1327 1340 1217
+2961 2 2 0 28 1347 1340 1327
+2962 2 2 0 28 1194 1259 1440
+2963 2 2 0 28 1410 1396 1407
+2964 2 2 0 28 1396 1197 1407
+2965 2 2 0 28 1419 1396 1385
+2966 2 2 0 28 1197 1396 1419
+2967 2 2 0 28 1396 1410 1230
+2968 2 2 0 28 1385 1396 1230
+2969 2 2 0 28 1180 1282 1446
+2970 2 2 0 28 1392 1373 1332
+2971 2 2 0 28 1332 1223 1392
+2972 2 2 0 28 1332 1373 1232
+2973 2 2 0 28 1232 1322 1332
+2974 2 2 0 28 1332 1322 1310
+2975 2 2 0 28 1310 1223 1332
+2976 2 2 0 28 1193 1239 1389
+2977 2 2 0 28 1389 1444 1193
+2978 2 2 0 28 1275 1441 1193
+2979 2 2 0 28 1193 1444 1275
+2980 2 2 0 28 1193 1441 1239
+2981 2 2 0 28 1452 1367 1320
+2982 2 2 0 28 1436 1367 1452
+2983 2 2 0 28 1367 1475 1320
+2984 2 2 0 28 1344 1185 1430
+2985 2 2 0 28 1405 1350 1470
+2986 2 2 0 28 1350 1479 1470
+2987 2 2 0 28 1298 1339 1187
+2988 2 2 0 28 1307 1510 1298
+2989 2 2 0 28 1477 1468 1460
+2990 2 2 0 28 1398 1460 1504
+2991 2 2 0 28 1460 1476 1477
+2992 2 2 0 28 1443 1487 1468
+2993 2 2 0 28 1184 1468 1477
+2994 2 2 0 28 1437 1369 1364
+2995 2 2 0 28 1369 1363 1364
+2996 2 2 0 28 1363 1369 1217
+2997 2 2 0 28 1261 1422 1254
+2998 2 2 0 28 1261 1197 1422
+2999 2 2 0 28 1438 1422 1419
+3000 2 2 0 28 1422 1197 1419
+3001 2 2 0 28 1254 1422 1236
+3002 2 2 0 28 1422 1438 1236
+3003 2 2 0 28 1276 1450 1201
+3004 2 2 0 28 1399 1341 1362
+3005 2 2 0 28 1341 1399 1228
+3006 2 2 0 28 1508 1519 1381
+3007 2 2 0 28 1516 1381 1519
+3008 2 2 0 28 1371 1241 1448
+3009 2 2 0 28 1371 1373 1234
+3010 2 2 0 28 1241 1371 1234
+3011 2 2 0 28 1270 1189 1486
+3012 2 2 0 28 1251 1512 1194
+3013 2 2 0 28 1237 1251 1194
+3014 2 2 0 28 1194 1440 1237
+3015 2 2 0 28 1294 1405 1470
+3016 2 2 0 28 1198 1490 1491
+3017 2 2 0 28 1491 1490 1496
+3018 2 2 0 28 1248 1410 1407
+3019 2 2 0 28 1392 1223 1428
+3020 2 2 0 28 1311 1428 1223
+3021 2 2 0 28 1425 1335 1341
+3022 2 2 0 28 1335 1425 1230
+3023 2 2 0 28 1385 1230 1425
+3024 2 2 0 28 1228 1425 1341
+3025 2 2 0 28 1292 1446 1282
+3026 2 2 0 28 1461 1388 1195
+3027 2 2 0 28 1195 1458 1461
+3028 2 2 0 28 1481 1461 1458
+3029 2 2 0 28 1443 1509 1487
+3030 2 2 0 28 1443 1199 1509
+3031 2 2 0 28 1178 1253 1401
+3032 2 2 0 28 1409 1253 1178
+3033 2 2 0 28 1206 1261 1278
+3034 2 2 0 28 1278 1261 1254
+3035 2 2 0 28 1238 1389 1418
+3036 2 2 0 28 1418 1389 1353
+3037 2 2 0 28 1353 1389 1239
+3038 2 2 0 28 1389 1238 1444
+3039 2 2 0 28 1356 1404 1179
+3040 2 2 0 28 1179 1404 1435
+3041 2 2 0 28 1356 1179 1445
+3042 2 2 0 28 1365 1179 1435
+3043 2 2 0 28 1365 1433 1179
+3044 2 2 0 28 1179 1433 1445
+3045 2 2 0 28 1493 1205 1502
+3046 2 2 0 28 1281 1205 1493
+3047 2 2 0 28 1182 1274 1493
+3048 2 2 0 28 1274 1206 1281
+3049 2 2 0 28 1281 1493 1274
+3050 2 2 0 28 1377 1333 1325
+3051 2 2 0 28 1214 1333 1377
+3052 2 2 0 28 1325 1333 1232
+3053 2 2 0 28 1333 1303 1322
+3054 2 2 0 28 1303 1333 1214
+3055 2 2 0 28 1232 1333 1322
+3056 2 2 0 28 1308 1188 1319
+3057 2 2 0 28 1303 1188 1322
+3058 2 2 0 28 1310 1322 1188
+3059 2 2 0 28 1328 1185 1344
+3060 2 2 0 28 1400 1328 1344
+3061 2 2 0 28 1243 1404 1434
+3062 2 2 0 28 1434 1404 1356
+3063 2 2 0 28 1384 1243 1434
+3064 2 2 0 28 1356 1222 1434
+3065 2 2 0 28 1275 1244 1441
+3066 2 2 0 28 1244 1275 1503
+3067 2 2 0 28 1251 1441 1244
+3068 2 2 0 28 1244 1503 1494
+3069 2 2 0 28 1219 1306 1377
+3070 2 2 0 28 1353 1342 1306
+3071 2 2 0 28 1306 1342 1177
+3072 2 2 0 28 1306 1219 1353
+3073 2 2 0 28 1448 1432 1386
+3074 2 2 0 28 1249 1294 1470
+3075 2 2 0 28 1386 1432 1238
+3076 2 2 0 28 1418 1361 1386
+3077 2 2 0 28 1238 1418 1386
+3078 2 2 0 28 1493 1523 1182
+3079 2 2 0 28 1493 1515 1523
+3080 2 2 0 28 1385 1240 1419
+3081 2 2 0 28 1240 1438 1419
+3082 2 2 0 28 1412 1355 1335
+3083 2 2 0 28 1233 1355 1412
+3084 2 2 0 28 1368 1354 1355
+3085 2 2 0 28 1233 1368 1355
+3086 2 2 0 28 1334 1296 1462
+3087 2 2 0 28 1334 1462 1212
+3088 2 2 0 28 1304 1462 1296
+3089 2 2 0 28 1304 1212 1462
+3090 2 2 0 28 1506 1381 1516
+3091 2 2 0 28 1474 1516 1220
+3092 2 2 0 28 1474 1506 1516
+3093 2 2 0 28 1493 1502 1515
+3094 2 2 0 28 1317 1388 1221
+3095 2 2 0 28 1388 1317 1338
+3096 2 2 0 28 1195 1388 1338
+3097 2 2 0 28 1282 1394 1208
+3098 2 2 0 28 1227 1324 1319
+3099 2 2 0 28 1324 1308 1319
+3100 2 2 0 28 1319 1343 1227
+3101 2 2 0 28 1454 1238 1432
+3102 2 2 0 28 1454 1444 1238
+3103 2 2 0 28 1375 1345 1330
+3104 2 2 0 28 1330 1345 1216
+3105 2 2 0 28 1328 1231 1330
+3106 2 2 0 28 1347 1328 1330
+3107 2 2 0 28 1330 1231 1375
+3108 2 2 0 28 1216 1347 1330
+3109 2 2 0 28 1196 1254 1268
+3110 2 2 0 28 1268 1254 1236
+3111 2 2 0 28 1416 1267 1268
+3112 2 2 0 28 1268 1236 1416
+3113 2 2 0 28 1328 1347 1185
+3114 2 2 0 28 1317 1313 1304
+3115 2 2 0 28 1304 1213 1317
+3116 2 2 0 28 1221 1313 1317
+3117 2 2 0 28 1317 1213 1338
+3118 2 2 0 28 1206 1285 1281
+3119 2 2 0 28 1189 1255 1417
+3120 2 2 0 28 1255 1489 1417
+3121 2 2 0 28 1267 1455 1255
+3122 2 2 0 28 1242 1255 1455
+3123 2 2 0 28 1255 1242 1489
+3124 2 2 0 28 1296 1334 1226
+3125 2 2 0 28 1334 1301 1316
+3126 2 2 0 28 1301 1334 1212
+3127 2 2 0 28 1226 1334 1316
+3128 2 2 0 28 1410 1412 1230
+3129 2 2 0 28 1421 1412 1410
+3130 2 2 0 28 1410 1248 1421
+3131 2 2 0 28 1469 1483 1417
+3132 2 2 0 28 1469 1417 1489
+3133 2 2 0 28 1189 1417 1483
+3134 2 2 0 28 1335 1230 1412
+3135 2 2 0 28 1325 1219 1377
+3136 2 2 0 28 1352 1489 1242
+3137 2 2 0 28 1234 1373 1392
+3138 2 2 0 28 1314 1304 1296
+3139 2 2 0 28 1296 1209 1314
+3140 2 2 0 28 1325 1361 1219
+3141 2 2 0 28 1302 1315 1187
+3142 2 2 0 28 1302 1187 1339
+3143 2 2 0 28 1315 1475 1187
+3144 2 2 0 28 1233 1412 1421
+3145 2 2 0 28 1305 1177 1337
+3146 2 2 0 28 1305 1442 1177
+3147 2 2 0 28 1251 1237 1383
+3148 2 2 0 28 1383 1441 1251
+3149 2 2 0 28 1239 1383 1342
+3150 2 2 0 28 1383 1337 1342
+3151 2 2 0 28 1383 1239 1441
+3152 2 2 0 28 1337 1383 1237
+3153 2 2 0 28 1215 1345 1375
+3154 2 2 0 28 1216 1345 1308
+3155 2 2 0 28 1363 1318 1354
+3156 2 2 0 28 1374 1336 1318
+3157 2 2 0 28 1318 1217 1374
+3158 2 2 0 28 1318 1363 1217
+3159 2 2 0 28 1321 1409 1178
+3160 2 2 0 28 1178 1245 1321
+3161 2 2 0 28 1328 1400 1231
+3162 2 2 0 28 1301 1212 1309
+3163 2 2 0 28 1307 1473 1510
+3164 2 2 0 28 1473 1307 1498
+3165 2 2 0 28 1254 1196 1278
+3166 2 2 0 28 1204 1521 1484
+3167 2 2 0 28 1485 1484 1521
+3168 2 2 0 28 1199 1421 1248
+3169 2 2 0 28 1233 1199 1443
+3170 2 2 0 28 1199 1233 1421
+3171 2 2 0 28 1361 1418 1219
+3172 2 2 0 28 1353 1219 1418
+3173 2 2 0 28 1416 1243 1384
+3174 2 2 0 28 1384 1455 1416
+3175 2 2 0 28 1384 1242 1455
+3176 2 2 0 28 1354 1368 1235
+3177 2 2 0 28 1235 1363 1354
+3178 2 2 0 28 1470 1427 1249
+3179 2 2 0 28 1470 1241 1427
+3180 2 2 0 28 1241 1470 1479
+3181 2 2 0 28 1280 1184 1477
+3182 2 2 0 28 1280 1437 1184
+3183 2 2 0 28 1207 1200 1280
+3184 2 2 0 28 1280 1477 1476
+3185 2 2 0 28 1207 1280 1476
+3186 2 2 0 28 1374 1340 1324
+3187 2 2 0 28 1324 1340 1216
+3188 2 2 0 28 1324 1227 1374
+3189 2 2 0 28 1308 1324 1216
+3190 2 2 0 28 1243 1416 1236
+3191 2 2 0 28 1184 1364 1235
+3192 2 2 0 28 1364 1184 1437
+3193 2 2 0 28 1343 1346 1227
+3194 2 2 0 28 1321 1218 1409
+3195 2 2 0 28 1376 1320 1315
+3196 2 2 0 28 1315 1221 1376
+3197 2 2 0 28 1213 1304 1314
+3198 2 2 0 28 1304 1313 1212
+3199 2 2 0 28 1368 1233 1443
+3200 2 2 0 28 1267 1416 1455
+3201 2 2 0 28 1363 1235 1364
+3202 2 2 0 28 1501 1525 1514
+3203 2 2 0 28 1315 1302 1313
+3204 2 2 0 28 1302 1212 1313
+3205 2 2 0 28 1339 1309 1302
+3206 2 2 0 28 1302 1309 1212
+3207 2 2 0 28 1315 1320 1475
+3208 2 2 0 28 1362 1336 1346
+3209 2 2 0 28 1239 1342 1353
+3210 2 2 0 28 1337 1177 1342
+3211 2 2 0 28 1234 1427 1241
+3212 2 2 0 28 1229 1337 1237
+3213 2 2 0 28 1229 1237 1440
+3214 2 2 0 28 1217 1340 1374
+3215 2 2 0 28 1216 1340 1347
+3216 2 2 0 28 1221 1315 1313
+3217 2 2 0 28 1227 1336 1374
+3218 2 2 0 28 1336 1227 1346
+3219 2 2 0 28 1225 1309 1339
+3220 2 2 0 28 1312 1177 1442
+3221 2 2 0 28 1321 1349 1218
+3222 2 2 0 28 1218 1349 1312
+3223 4 2 0 1 1846 2054 1029 2488
+3224 4 2 0 1 581 279 2330 2694
+3225 4 2 0 1 621 1990 1677 2344
+3226 4 2 0 1 324 2005 2190 2323
+3227 4 2 0 1 1556 1938 1638 1986
+3228 4 2 0 1 1677 1990 621 2330
+3229 4 2 0 1 1667 2562 1931 2588
+3230 4 2 0 1 1641 1953 2136 2204
+3231 4 2 0 1 1737 2127 1875 2689
+3232 4 2 0 1 1566 1907 1944 2096
+3233 4 2 0 1 1662 841 2212 2638
+3234 4 2 0 1 1334 1296 1462 1672
+3235 4 2 0 1 1902 1918 387 2641
+3236 4 2 0 1 1132 500 517 2626
+3237 4 2 0 1 1777 1900 2168 2796
+3238 4 2 0 1 1337 2370 1780 2835
+3239 4 2 0 1 2076 2137 1357 2301
+3240 4 2 0 1 1419 1438 1719 2148
+3241 4 2 0 1 581 2330 1990 2694
+3242 4 2 0 1 1523 2264 1976 2303
+3243 4 2 0 1 1713 1942 797 2028
+3244 4 2 0 1 1357 2137 2076 2715
+3245 4 2 0 1 1691 1886 1570 2540
+3246 4 2 0 1 1546 2127 1737 2689
+3247 4 2 0 1 841 2120 1662 2212
+3248 4 2 0 1 1811 1953 1641 2204
+3249 4 2 0 1 1551 1917 1792 2163
+3250 4 2 0 1 1675 1920 1802 2242
+3251 4 2 0 1 1563 1701 1838 2032
+3252 4 2 0 1 324 373 2005 2323
+3253 4 2 0 1 1672 1935 1334 2001
+3254 4 2 0 1 1675 1802 2052 2242
+3255 4 2 0 1 1570 1886 1691 2072
+3256 4 2 0 1 1802 1634 2052 2242
+3257 4 2 0 1 1615 2023 2389 2444
+3258 4 2 0 1 1419 1240 1438 2148
+3259 4 2 0 1 1471 2057 2241 2383
+3260 4 2 0 1 1824 1844 1636 1987
+3261 4 2 0 1 1549 1763 1876 2273
+3262 4 2 0 1 1715 1960 1106 2060
+3263 4 2 0 1 1802 1920 1634 2242
+3264 4 2 0 1 1636 1987 1772 2326
+3265 4 2 0 1 1731 1803 1566 2261
+3266 4 2 0 1 1638 1556 1922 1938
+3267 4 2 0 1 1540 1704 1874 2630
+3268 4 2 0 1 1747 1953 1581 2213
+3269 4 2 0 1 1563 1989 1684 2098
+3270 4 2 0 1 1665 1859 2149 2352
+3271 4 2 0 1 1419 1719 1438 1909
+3272 4 2 0 1 1641 1953 1811 2547
+3273 4 2 0 1 1773 1928 1684 2098
+3274 4 2 0 1 2474 2620 2146 2833
+3275 4 2 0 1 1194 1259 2033 2177
+3276 4 2 0 1 1615 2023 2444 2492
+3277 4 2 0 1 250 1961 1952 2086
+3278 4 2 0 1 1182 1523 1976 2303
+3279 4 2 0 1 1792 1917 1665 2163
+3280 4 2 0 1 1852 1980 1932 2583
+3281 4 2 0 1 2044 2310 1938 2521
+3282 4 2 0 1 1827 1910 1673 2362
+3283 4 2 0 1 1029 2054 1846 2202
+3284 4 2 0 1 1654 1944 1907 2096
+3285 4 2 0 1 1944 2057 1471 2383
+3286 4 2 0 1 1661 1994 1870 2603
+3287 4 2 0 1 1628 1803 1731 2261
+3288 4 2 0 1 1002 1931 2562 2588
+3289 4 2 0 1 1763 2255 2056 2414
+3290 4 2 0 1 1530 1958 1880 2266
+3291 4 2 0 1 1810 1933 748 2690
+3292 4 2 0 1 1525 2135 157 2184
+3293 4 2 0 1 1880 1958 1675 2266
+3294 4 2 0 1 1770 1836 2193 2595
+3295 4 2 0 1 1615 2389 2023 2492
+3296 4 2 0 1 1579 2285 1672 2411
+3297 4 2 0 1 581 1990 279 2694
+3298 4 2 0 1 1970 2168 1900 2796
+3299 4 2 0 1 387 1918 1902 1983
+3300 4 2 0 1 1662 2120 841 2161
+3301 4 2 0 1 1185 1828 1758 2104
+3302 4 2 0 1 1570 1798 1820 1886
+3303 4 2 0 1 604 1680 1948 2530
+3304 4 2 0 1 1571 1713 1942 2288
+3305 4 2 0 1 1662 2161 841 2638
+3306 4 2 0 1 1533 2231 2504 2583
+3307 4 2 0 1 1721 1797 164 2070
+3308 4 2 0 1 1553 2663 2069 2749
+3309 4 2 0 1 1674 1985 1905 2017
+3310 4 2 0 1 1730 1618 2053 2104
+3311 4 2 0 1 1555 2014 1936 2659
+3312 4 2 0 1 933 1889 930 2233
+3313 4 2 0 1 1780 1885 1353 2322
+3314 4 2 0 1 822 1183 1210 1933
+3315 4 2 0 1 1555 1936 2014 2736
+3316 4 2 0 1 1647 2085 1768 2134
+3317 4 2 0 1 1556 1638 1922 1986
+3318 4 2 0 1 1979 2092 223 2349
+3319 4 2 0 1 1655 1813 1588 1891
+3320 4 2 0 1 1132 2054 1904 2626
+3321 4 2 0 1 1440 1194 1259 2033
+3322 4 2 0 1 1416 1820 1708 2289
+3323 4 2 0 1 1843 2023 2389 2492
+3324 4 2 0 1 709 1765 807 2068
+3325 4 2 0 1 1506 2137 995 2278
+3326 4 2 0 1 1985 2017 1674 2773
+3327 4 2 0 1 1357 2076 1872 2715
+3328 4 2 0 1 949 1961 1729 2477
+3329 4 2 0 1 950 1781 1889 2081
+3330 4 2 0 1 1547 1869 1745 2434
+3331 4 2 0 1 1744 1812 1548 2480
+3332 4 2 0 1 1812 1898 1647 1919
+3333 4 2 0 1 164 1797 1721 2140
+3334 4 2 0 1 2175 2193 1836 2595
+3335 4 2 0 1 1665 2149 1859 2153
+3336 4 2 0 1 1534 1910 1827 2362
+3337 4 2 0 1 1743 1581 1953 2213
+3338 4 2 0 1 1827 1673 2227 2362
+3339 4 2 0 1 1713 1765 1551 2074
+3340 4 2 0 1 604 1948 599 2530
+3341 4 2 0 1 1812 1919 1647 2465
+3342 4 2 0 1 1808 2033 1259 2177
+3343 4 2 0 1 1372 1442 2016 2493
+3344 4 2 0 1 748 1810 822 1933
+3345 4 2 0 1 1540 2122 1704 2630
+3346 4 2 0 1 1637 2281 1921 2749
+3347 4 2 0 1 1531 1964 1882 2315
+3348 4 2 0 1 1726 1794 2360 2425
+3349 4 2 0 1 1684 1563 2032 2038
+3350 4 2 0 1 1579 1971 1672 2420
+3351 4 2 0 1 1541 2011 1865 2306
+3352 4 2 0 1 1691 1570 2015 2540
+3353 4 2 0 1 1729 1952 193 1961
+3354 4 2 0 1 1539 2223 1870 2232
+3355 4 2 0 1 1658 2202 2025 2622
+3356 4 2 0 1 989 1907 1751 2279
+3357 4 2 0 1 1825 1934 647 2281
+3358 4 2 0 1 157 1525 843 2135
+3359 4 2 0 1 457 1737 2127 2468
+3360 4 2 0 1 413 1816 2066 2106
+3361 4 2 0 1 2135 2529 1810 2722
+3362 4 2 0 1 1531 1756 1964 2315
+3363 4 2 0 1 1938 2044 1638 2310
+3364 4 2 0 1 1547 1968 1742 2167
+3365 4 2 0 1 1619 1862 1800 1877
+3366 4 2 0 1 1575 1981 1660 2039
+3367 4 2 0 1 1579 1935 1672 2285
+3368 4 2 0 1 822 1210 748 1933
+3369 4 2 0 1 1615 2389 1898 2444
+3370 4 2 0 1 1759 1998 2234 2476
+3371 4 2 0 1 1538 1691 1784 1943
+3372 4 2 0 1 2474 2620 1705 2640
+3373 4 2 0 1 1684 2296 2103 2482
+3374 4 2 0 1 1603 1829 1819 2357
+3375 4 2 0 1 1763 2056 1632 2273
+3376 4 2 0 1 1010 163 164 1721
+3377 4 2 0 1 1713 1551 1765 2532
+3378 4 2 0 1 1538 1784 1691 2388
+3379 4 2 0 1 1669 2504 2231 2583
+3380 4 2 0 1 1540 2067 1702 2524
+3381 4 2 0 1 1185 1758 1954 2104
+3382 4 2 0 1 1588 1655 1891 2430
+3383 4 2 0 1 1563 1989 1697 2482
+3384 4 2 0 1 1547 1878 1968 2167
+3385 4 2 0 1 2359 2472 2207 2481
+3386 4 2 0 1 1127 2056 1994 2255
+3387 4 2 0 1 2146 2278 1797 2301
+3388 4 2 0 1 1573 1700 1899 2122
+3389 4 2 0 1 1800 1877 1862 2793
+3390 4 2 0 1 1550 1732 1806 2004
+3391 4 2 0 1 1635 1932 1852 1980
+3392 4 2 0 1 1226 1334 1935 2001
+3393 4 2 0 1 1792 2404 2341 2702
+3394 4 2 0 1 1296 1462 1672 2302
+3395 4 2 0 1 1675 1958 1880 2750
+3396 4 2 0 1 1817 2261 1566 2553
+3397 4 2 0 1 980 2165 1724 2589
+3398 4 2 0 1 1560 1844 1824 1987
+3399 4 2 0 1 1632 2056 1763 2255
+3400 4 2 0 1 1372 1926 1678 2016
+3401 4 2 0 1 1369 2042 2104 2579
+3402 4 2 0 1 1812 1898 1919 2650
+3403 4 2 0 1 1632 1876 1763 2273
+3404 4 2 0 1 1609 1976 1742 2356
+3405 4 2 0 1 907 1484 863 2081
+3406 4 2 0 1 1533 1932 1980 2583
+3407 4 2 0 1 2103 2296 1900 2482
+3408 4 2 0 1 1240 1719 1438 2148
+3409 4 2 0 1 1563 1684 1989 2482
+3410 4 2 0 1 1571 1713 2288 2532
+3411 4 2 0 1 1547 2167 1742 2356
+3412 4 2 0 1 930 1889 1817 2233
+3413 4 2 0 1 1745 1842 1660 1901
+3414 4 2 0 1 742 1810 748 2690
+3415 4 2 0 1 534 1990 581 2330
+3416 4 2 0 1 1142 1158 1927 2049
+3417 4 2 0 1 841 2120 727 2161
+3418 4 2 0 1 2025 2075 1658 2535
+3419 4 2 0 1 935 980 1724 2589
+3420 4 2 0 1 1563 1915 1697 1989
+3421 4 2 0 1 1533 1980 1852 2583
+3422 4 2 0 1 1579 1672 1971 2411
+3423 4 2 0 1 1615 1751 1790 1898
+3424 4 2 0 1 604 1948 1680 2786
+3425 4 2 0 1 1353 1885 1780 2512
+3426 4 2 0 1 1369 2104 2042 2342
+3427 4 2 0 1 1531 1836 1770 2003
+3428 4 2 0 1 1192 2042 1727 2077
+3429 4 2 0 1 1762 2148 1425 2721
+3430 4 2 0 1 2051 2135 1810 2722
+3431 4 2 0 1 1183 822 1810 1933
+3432 4 2 0 1 2127 2155 1546 2444
+3433 4 2 0 1 1539 1876 2022 2151
+3434 4 2 0 1 1783 2220 2050 2415
+3435 4 2 0 1 1324 1706 2013 2579
+3436 4 2 0 1 933 1817 930 1889
+3437 4 2 0 1 1762 1992 1425 2148
+3438 4 2 0 1 1587 2138 1864 2541
+3439 4 2 0 1 1573 1868 1700 2122
+3440 4 2 0 1 1921 2281 1637 2371
+3441 4 2 0 1 1658 2092 1979 2349
+3442 4 2 0 1 2002 2270 1835 2449
+3443 4 2 0 1 324 2005 373 2190
+3444 4 2 0 1 2146 2620 2474 2640
+3445 4 2 0 1 1588 1982 1655 2430
+3446 4 2 0 1 1672 2133 1462 2420
+3447 4 2 0 1 1775 2170 2040 2541
+3448 4 2 0 1 1693 2183 1796 2213
+3449 4 2 0 1 1992 2077 1341 2337
+3450 4 2 0 1 1791 2231 1669 2504
+3451 4 2 0 1 709 807 757 2068
+3452 4 2 0 1 1615 1898 1790 2444
+3453 4 2 0 1 1531 1882 1964 2735
+3454 4 2 0 1 1790 1931 1667 2562
+3455 4 2 0 1 1372 2016 1678 2493
+3456 4 2 0 1 1411 1373 1760 2012
+3457 4 2 0 1 1324 1340 1706 2579
+3458 4 2 0 1 1455 2021 1820 2387
+3459 4 2 0 1 1776 2014 1936 2736
+3460 4 2 0 1 1572 1759 1865 2183
+3461 4 2 0 1 1823 2173 1940 2554
+3462 4 2 0 1 1571 2136 1953 2204
+3463 4 2 0 1 1900 1777 2290 2796
+3464 4 2 0 1 1641 2204 2136 2304
+3465 4 2 0 1 2044 1938 2520 2521
+3466 4 2 0 1 1726 1794 2305 2360
+3467 4 2 0 1 1778 2017 1985 2773
+3468 4 2 0 1 2014 2045 1936 2659
+3469 4 2 0 1 1928 2032 1684 2098
+3470 4 2 0 1 1598 1928 1773 2098
+3471 4 2 0 1 1953 2213 1747 2354
+3472 4 2 0 1 1534 1827 2227 2362
+3473 4 2 0 1 1003 1790 990 1931
+3474 4 2 0 1 1777 1611 2295 2602
+3475 4 2 0 1 157 2184 2135 2670
+3476 4 2 0 1 1889 2165 899 2589
+3477 4 2 0 1 1537 1807 2243 2318
+3478 4 2 0 1 1815 1617 1972 2410
+3479 4 2 0 1 797 1942 1713 2288
+3480 4 2 0 1 1194 2033 1764 2177
+3481 4 2 0 1 1958 2183 1796 2372
+3482 4 2 0 1 2051 1810 2135 2529
+3483 4 2 0 1 2022 2609 2082 2629
+3484 4 2 0 1 1337 1780 1342 2835
+3485 4 2 0 1 1533 2231 2334 2504
+3486 4 2 0 1 1828 2053 1618 2104
+3487 4 2 0 1 1122 1746 1089 1864
+3488 4 2 0 1 2067 2343 1702 2524
+3489 4 2 0 1 491 1997 2353 2691
+3490 4 2 0 1 2165 2589 1889 2644
+3491 4 2 0 1 1257 651 1828 2053
+3492 4 2 0 1 1781 2081 1204 2299
+3493 4 2 0 1 413 347 1816 2635
+3494 4 2 0 1 1531 1770 1836 2249
+3495 4 2 0 1 858 2562 2125 2588
+3496 4 2 0 1 457 2127 1875 2468
+3497 4 2 0 1 1745 1901 1660 2238
+3498 4 2 0 1 1553 2459 1956 2759
+3499 4 2 0 1 1546 1737 1875 2689
+3500 4 2 0 1 2042 2104 1639 2342
+3501 4 2 0 1 1772 1987 1824 2326
+3502 4 2 0 1 499 1967 1965 2438
+3503 4 2 0 1 1575 1975 1660 1981
+3504 4 2 0 1 1539 2114 1870 2223
+3505 4 2 0 1 1574 1706 1821 2415
+3506 4 2 0 1 885 1961 949 2477
+3507 4 2 0 1 1777 2295 2143 2602
+3508 4 2 0 1 2077 2337 1992 2340
+3509 4 2 0 1 1588 1813 1655 2328
+3510 4 2 0 1 1775 2541 2040 2584
+3511 4 2 0 1 1783 2050 1921 2415
+3512 4 2 0 1 1563 1989 2098 2147
+3513 4 2 0 1 1983 2517 1657 2691
+3514 4 2 0 1 1416 1267 1708 1820
+3515 4 2 0 1 413 347 353 1816
+3516 4 2 0 1 499 2297 1967 2438
+3517 4 2 0 1 903 244 996 2494
+3518 4 2 0 1 1541 1865 2011 2521
+3519 4 2 0 1 1812 2224 1548 2480
+3520 4 2 0 1 620 1937 1799 2367
+3521 4 2 0 1 1803 1566 2261 2553
+3522 4 2 0 1 1797 2278 2137 2301
+3523 4 2 0 1 1654 1907 1751 2096
+3524 4 2 0 1 1604 2281 1921 2371
+3525 4 2 0 1 693 1942 797 2288
+3526 4 2 0 1 1547 1878 2167 2356
+3527 4 2 0 1 1834 2013 1727 2337
+3528 4 2 0 1 413 1816 2106 2635
+3529 4 2 0 1 1546 2127 1761 2155
+3530 4 2 0 1 1570 1691 1987 2747
+3531 4 2 0 1 1690 2404 1792 2702
+3532 4 2 0 1 1119 2056 1181 2785
+3533 4 2 0 1 2125 2562 1667 2588
+3534 4 2 0 1 1784 1945 2240 2300
+3535 4 2 0 1 1852 1932 1635 2583
+3536 4 2 0 1 2022 1623 2609 2629
+3537 4 2 0 1 1919 2465 1812 2650
+3538 4 2 0 1 1571 2288 2204 2532
+3539 4 2 0 1 1340 1706 2579 2655
+3540 4 2 0 1 1563 1697 2038 2482
+3541 4 2 0 1 1553 1956 1766 2759
+3542 4 2 0 1 2000 2487 1839 2616
+3543 4 2 0 1 1565 1986 1885 2234
+3544 4 2 0 1 1636 1824 1987 2326
+3545 4 2 0 1 1132 1904 500 2626
+3546 4 2 0 1 708 806 2099 2171
+3547 4 2 0 1 1336 1727 2013 2337
+3548 4 2 0 1 2183 2372 1958 2506
+3549 4 2 0 1 457 1737 430 2127
+3550 4 2 0 1 1743 2213 1953 2354
+3551 4 2 0 1 1661 1870 1632 2223
+3552 4 2 0 1 204 373 2005 2190
+3553 4 2 0 1 1173 164 163 1721
+3554 4 2 0 1 1780 1337 2016 2370
+3555 4 2 0 1 1530 1796 2183 2213
+3556 4 2 0 1 1721 1544 2140 2625
+3557 4 2 0 1 1548 1971 2480 2839
+3558 4 2 0 1 1823 2225 2173 2554
+3559 4 2 0 1 1010 1721 164 2070
+3560 4 2 0 1 1541 1938 2310 2521
+3561 4 2 0 1 1354 1663 2042 2077
+3562 4 2 0 1 1722 1657 2517 2691
+3563 4 2 0 1 1754 1847 1603 2189
+3564 4 2 0 1 2005 1634 2190 2323
+3565 4 2 0 1 1703 1839 2487 2616
+3566 4 2 0 1 1843 2389 1615 2492
+3567 4 2 0 1 1807 2243 2318 2739
+3568 4 2 0 1 710 2508 1822 2555
+3569 4 2 0 1 604 599 1948 2786
+3570 4 2 0 1 1607 1799 1730 2198
+3571 4 2 0 1 1541 1804 1683 2602
+3572 4 2 0 1 1542 2305 2079 2360
+3573 4 2 0 1 2051 2135 2055 2529
+3574 4 2 0 1 1665 2352 1867 2671
+3575 4 2 0 1 1673 2312 2362 2748
+3576 4 2 0 1 1728 2244 1544 2627
+3577 4 2 0 1 1537 2243 1807 2739
+3578 4 2 0 1 1438 1909 1719 2551
+3579 4 2 0 1 1743 1998 1854 2354
+3580 4 2 0 1 1820 2763 2007 2767
+3581 4 2 0 1 1756 1584 1882 2063
+3582 4 2 0 1 980 2115 1724 2165
+3583 4 2 0 1 1060 1927 1819 2394
+3584 4 2 0 1 1570 2072 1691 2747
+3585 4 2 0 1 2025 2336 2075 2535
+3586 4 2 0 1 2056 2273 1763 2414
+3587 4 2 0 1 1658 2025 1863 2075
+3588 4 2 0 1 1103 2056 2255 2414
+3589 4 2 0 1 1869 2179 1745 2434
+3590 4 2 0 1 1531 1882 1756 2315
+3591 4 2 0 1 691 1890 2288 2451
+3592 4 2 0 1 413 1816 353 2066
+3593 4 2 0 1 1660 1975 1575 2039
+3594 4 2 0 1 1735 1869 671 2197
+3595 4 2 0 1 1734 1836 1598 1878
+3596 4 2 0 1 1553 2220 1783 2415
+3597 4 2 0 1 1411 1760 1373 2263
+3598 4 2 0 1 223 270 1904 2092
+3599 4 2 0 1 1549 2039 1876 2544
+3600 4 2 0 1 1746 1864 1122 2138
+3601 4 2 0 1 1817 1889 933 2365
+3602 4 2 0 1 1267 1708 1820 2021
+3603 4 2 0 1 1994 2056 1632 2255
+3604 4 2 0 1 1013 154 980 2165
+3605 4 2 0 1 1563 2032 1838 2098
+3606 4 2 0 1 1657 2270 2002 2449
+3607 4 2 0 1 1940 2173 1823 2225
+3608 4 2 0 1 1618 1730 1799 2215
+3609 4 2 0 1 1559 1729 1793 1999
+3610 4 2 0 1 1335 1992 1762 2077
+3611 4 2 0 1 803 1942 1890 1991
+3612 4 2 0 1 1934 2281 1604 2283
+3613 4 2 0 1 935 1724 980 2115
+3614 4 2 0 1 1699 1978 1606 2559
+3615 4 2 0 1 1544 1721 2140 2619
+3616 4 2 0 1 1673 2312 2004 2362
+3617 4 2 0 1 604 1680 2530 2536
+3618 4 2 0 1 1101 1715 1106 2060
+3619 4 2 0 1 1555 1908 2174 2263
+3620 4 2 0 1 1721 2182 1688 2619
+3621 4 2 0 1 1587 2075 1711 2126
+3622 4 2 0 1 1555 2174 1906 2263
+3623 4 2 0 1 1419 1719 1909 2148
+3624 4 2 0 1 1658 1904 2202 2622
+3625 4 2 0 1 1803 2261 1817 2553
+3626 4 2 0 1 1530 1796 1958 2183
+3627 4 2 0 1 1354 2042 1663 2342
+3628 4 2 0 1 1336 2013 1834 2337
+3629 4 2 0 1 1540 1871 1736 2067
+3630 4 2 0 1 1334 1672 1462 2420
+3631 4 2 0 1 1599 1911 1714 2048
+3632 4 2 0 1 1889 1781 2165 2644
+3633 4 2 0 1 706 1769 781 1936
+3634 4 2 0 1 680 587 1207 1937
+3635 4 2 0 1 1570 1886 1820 2291
+3636 4 2 0 1 164 1721 1173 2140
+3637 4 2 0 1 1541 2520 1938 2521
+3638 4 2 0 1 1580 2034 2203 2634
+3639 4 2 0 1 1763 2039 1876 2509
+3640 4 2 0 1 1553 1766 2459 2759
+3641 4 2 0 1 1670 1596 2003 2286
+3642 4 2 0 1 155 2055 1771 2670
+3643 4 2 0 1 1334 1935 1672 2420
+3644 4 2 0 1 1715 2488 1846 2491
+3645 4 2 0 1 1677 1897 1592 2380
+3646 4 2 0 1 1936 2014 1776 2045
+3647 4 2 0 1 1900 2290 1970 2796
+3648 4 2 0 1 1965 2286 1670 2391
+3649 4 2 0 1 1548 1741 1971 2839
+3650 4 2 0 1 2037 2370 1556 2429
+3651 4 2 0 1 1863 2025 1658 2202
+3652 4 2 0 1 1539 2232 1870 2710
+3653 4 2 0 1 1537 2243 2082 2318
+3654 4 2 0 1 604 1680 2536 2786
+3655 4 2 0 1 1751 1907 989 2125
+3656 4 2 0 1 1820 1886 1798 2760
+3657 4 2 0 1 2022 2151 1876 2181
+3658 4 2 0 1 1324 1706 1340 2655
+3659 4 2 0 1 1665 1867 2611 2671
+3660 4 2 0 1 1550 1806 1732 2293
+3661 4 2 0 1 1544 2244 1728 2335
+3662 4 2 0 1 193 1952 250 1961
+3663 4 2 0 1 1709 2418 2004 2519
+3664 4 2 0 1 691 2288 825 2451
+3665 4 2 0 1 1824 1987 1772 2550
+3666 4 2 0 1 1752 825 2288 2451
+3667 4 2 0 1 1774 1620 1834 2011
+3668 4 2 0 1 1681 1829 1819 2424
+3669 4 2 0 1 346 326 233 2556
+3670 4 2 0 1 1670 2286 2003 2604
+3671 4 2 0 1 1921 2281 1825 2749
+3672 4 2 0 1 1530 1854 1759 1998
+3673 4 2 0 1 2004 2362 2312 2748
+3674 4 2 0 1 1867 1892 1641 2118
+3675 4 2 0 1 1726 2305 1542 2360
+3676 4 2 0 1 1716 1918 1594 2176
+3677 4 2 0 1 729 1860 1794 2425
+3678 4 2 0 1 1549 1876 1763 2544
+3679 4 2 0 1 1784 2240 1691 2300
+3680 4 2 0 1 1859 2352 1665 2671
+3681 4 2 0 1 903 996 2049 2494
+3682 4 2 0 1 1766 1845 681 2192
+3683 4 2 0 1 1537 2082 1807 2318
+3684 4 2 0 1 457 240 1875 2127
+3685 4 2 0 1 1540 1702 1874 2524
+3686 4 2 0 1 2170 2541 1775 2584
+3687 4 2 0 1 1354 1663 2077 2507
+3688 4 2 0 1 1859 1619 2149 2352
+3689 4 2 0 1 1255 1705 2620 2640
+3690 4 2 0 1 1986 2234 1998 2476
+3691 4 2 0 1 204 2005 1801 2190
+3692 4 2 0 1 1550 1768 1941 2293
+3693 4 2 0 1 1550 1941 1768 2623
+3694 4 2 0 1 1516 2278 2146 2301
+3695 4 2 0 1 2117 2586 2273 2785
+3696 4 2 0 1 1611 2527 2295 2602
+3697 4 2 0 1 1536 1949 2047 2198
+3698 4 2 0 1 1587 1746 2138 2541
+3699 4 2 0 1 1683 1804 1541 2011
+3700 4 2 0 1 1587 2040 2541 2584
+3701 4 2 0 1 1876 2039 1763 2544
+3702 4 2 0 1 1867 2089 1811 2304
+3703 4 2 0 1 1951 1544 2244 2627
+3704 4 2 0 1 1707 2474 2146 2833
+3705 4 2 0 1 2025 1658 2336 2535
+3706 4 2 0 1 2069 2663 2393 2749
+3707 4 2 0 1 1528 1812 2465 2650
+3708 4 2 0 1 1850 2005 1634 2699
+3709 4 2 0 1 1777 2143 1611 2602
+3710 4 2 0 1 1736 1871 1540 2698
+3711 4 2 0 1 1611 1777 2295 2527
+3712 4 2 0 1 693 797 1942 2028
+3713 4 2 0 1 1774 1804 1620 2599
+3714 4 2 0 1 858 1002 2562 2588
+3715 4 2 0 1 1558 1778 1985 2773
+3716 4 2 0 1 1571 1942 1890 2288
+3717 4 2 0 1 1354 2342 1663 2507
+3718 4 2 0 1 1945 2004 1709 2418
+3719 4 2 0 1 1953 2204 1811 2532
+3720 4 2 0 1 1780 1922 1638 1986
+3721 4 2 0 1 1761 1931 871 2280
+3722 4 2 0 1 980 154 2115 2165
+3723 4 2 0 1 1010 163 1721 2734
+3724 4 2 0 1 1813 2067 1736 2200
+3725 4 2 0 1 1751 1907 1654 2279
+3726 4 2 0 1 1604 1825 1921 2281
+3727 4 2 0 1 1727 2337 2077 2340
+3728 4 2 0 1 1610 2363 1757 2426
+3729 4 2 0 1 1761 2280 871 2803
+3730 4 2 0 1 1296 1672 1334 2001
+3731 4 2 0 1 1673 1910 1827 2335
+3732 4 2 0 1 1847 2189 1754 2292
+3733 4 2 0 1 1584 1756 1882 2315
+3734 4 2 0 1 1739 1856 1611 2031
+3735 4 2 0 1 1601 1943 1784 2240
+3736 4 2 0 1 1910 2218 1827 2335
+3737 4 2 0 1 413 2066 2068 2106
+3738 4 2 0 1 1566 2096 1944 2558
+3739 4 2 0 1 1548 2480 1814 2839
+3740 4 2 0 1 1854 1998 1530 2354
+3741 4 2 0 1 1742 2356 1976 2434
+3742 4 2 0 1 1689 2010 1956 2630
+3743 4 2 0 1 1553 1766 2069 2663
+3744 4 2 0 1 1574 2050 1706 2415
+3745 4 2 0 1 244 2049 996 2494
+3746 4 2 0 1 1743 1854 1530 2354
+3747 4 2 0 1 950 1781 881 1889
+3748 4 2 0 1 1658 2075 1863 2535
+3749 4 2 0 1 1701 2032 1563 2038
+3750 4 2 0 1 1767 2084 452 2574
+3751 4 2 0 1 936 949 1961 2073
+3752 4 2 0 1 1558 1778 2027 2239
+3753 4 2 0 1 1689 2452 2010 2630
+3754 4 2 0 1 1783 1956 1689 2220
+3755 4 2 0 1 1634 2080 1850 2699
+3756 4 2 0 1 1609 2142 1762 2243
+3757 4 2 0 1 1780 1556 2037 2370
+3758 4 2 0 1 1587 1775 2040 2584
+3759 4 2 0 1 2152 2160 2048 2616
+3760 4 2 0 1 1819 2357 1829 2613
+3761 4 2 0 1 1089 1746 1091 1864
+3762 4 2 0 1 210 357 1789 2556
+3763 4 2 0 1 1803 2233 1817 2261
+3764 4 2 0 1 1835 1903 1590 2002
+3765 4 2 0 1 1730 1799 1607 1937
+3766 4 2 0 1 1785 1892 1565 2136
+3767 4 2 0 1 1865 2306 2011 2454
+3768 4 2 0 1 1665 2163 1917 2611
+3769 4 2 0 1 1419 1909 1438 2551
+3770 4 2 0 1 620 2053 1937 2367
+3771 4 2 0 1 1569 1918 1716 2176
+3772 4 2 0 1 1669 1651 1938 2257
+3773 4 2 0 1 1590 1835 2002 2270
+3774 4 2 0 1 1723 2225 2173 2789
+3775 4 2 0 1 1533 1980 1932 2838
+3776 4 2 0 1 1337 2033 2370 2835
+3777 4 2 0 1 2273 2586 2056 2785
+3778 4 2 0 1 1864 2138 1746 2541
+3779 4 2 0 1 1689 2630 1956 2652
+3780 4 2 0 1 866 1889 933 2233
+3781 4 2 0 1 1571 1685 1991 2265
+3782 4 2 0 1 1579 1672 1935 2420
+3783 4 2 0 1 2341 2404 1765 2702
+3784 4 2 0 1 1946 1729 2523 2793
+3785 4 2 0 1 2118 2266 1998 2354
+3786 4 2 0 1 1673 2058 2312 2748
+3787 4 2 0 1 1496 1490 576 1491
+3788 4 2 0 1 1675 2266 1958 2471
+3789 4 2 0 1 621 1990 534 2330
+3790 4 2 0 1 526 1961 885 2477
+3791 4 2 0 1 1815 1960 1617 2410
+3792 4 2 0 1 1571 1685 2265 2634
+3793 4 2 0 1 1626 1906 1858 2008
+3794 4 2 0 1 1587 2710 1710 2828
+3795 4 2 0 1 1770 1838 1598 2098
+3796 4 2 0 1 134 1815 1972 2410
+3797 4 2 0 1 1714 1911 1528 2048
+3798 4 2 0 1 1905 1985 1778 2017
+3799 4 2 0 1 1952 2086 1961 2545
+3800 4 2 0 1 1802 1675 2271 2334
+3801 4 2 0 1 357 2268 1789 2556
+3802 4 2 0 1 1601 1784 1945 2240
+3803 4 2 0 1 1766 2192 2459 2759
+3804 4 2 0 1 1759 1572 1865 2310
+3805 4 2 0 1 1665 2149 1867 2352
+3806 4 2 0 1 1475 1471 1944 2057
+3807 4 2 0 1 1580 2034 1826 2203
+3808 4 2 0 1 1603 2357 1819 2764
+3809 4 2 0 1 975 1748 2162 2382
+3810 4 2 0 1 1768 1919 1647 2134
+3811 4 2 0 1 729 2087 1794 2375
+3812 4 2 0 1 1966 2113 1980 2517
+3813 4 2 0 1 994 1931 1761 2155
+3814 4 2 0 1 1496 1491 576 1995
+3815 4 2 0 1 677 647 1934 2281
+3816 4 2 0 1 1553 2069 1758 2749
+3817 4 2 0 1 1591 2134 2085 2389
+3818 4 2 0 1 1632 1870 1661 1994
+3819 4 2 0 1 1859 2149 1619 2153
+3820 4 2 0 1 1827 1910 1614 2218
+3821 4 2 0 1 1681 1978 1606 2228
+3822 4 2 0 1 1673 2362 2058 2748
+3823 4 2 0 1 2007 2763 1243 2767
+3824 4 2 0 1 1794 1860 729 2375
+3825 4 2 0 1 1838 2032 1598 2098
+3826 4 2 0 1 1758 1828 1430 2812
+3827 4 2 0 1 822 748 742 1810
+3828 4 2 0 1 1556 1922 1780 1986
+3829 4 2 0 1 1002 1931 1790 2562
+3830 4 2 0 1 1669 1938 1556 2231
+3831 4 2 0 1 1759 2234 1638 2476
+3832 4 2 0 1 2054 2488 1846 2789
+3833 4 2 0 1 2052 2190 1585 2242
+3834 4 2 0 1 1536 1949 1734 2047
+3835 4 2 0 1 1430 1758 1185 1828
+3836 4 2 0 1 1558 2017 1778 2773
+3837 4 2 0 1 1703 2487 2000 2616
+3838 4 2 0 1 1749 1565 2008 2265
+3839 4 2 0 1 1863 2075 1775 2535
+3840 4 2 0 1 1853 2083 1645 2151
+3841 4 2 0 1 1953 2532 1811 2547
+3842 4 2 0 1 1253 1893 1824 2751
+3843 4 2 0 1 1637 1825 2281 2749
+3844 4 2 0 1 1206 2586 2117 2785
+3845 4 2 0 1 1846 2488 1092 2491
+3846 4 2 0 1 1550 1732 2004 2519
+3847 4 2 0 1 1383 1974 1780 2322
+3848 4 2 0 1 1609 1909 1887 2243
+3849 4 2 0 1 1003 1002 990 1790
+3850 4 2 0 1 1342 1780 1383 2835
+3851 4 2 0 1 1611 1856 1739 2527
+3852 4 2 0 1 1548 1812 1744 2708
+3853 4 2 0 1 1540 2059 1704 2122
+3854 4 2 0 1 1592 1841 1677 2380
+3855 4 2 0 1 1092 1846 1029 2488
+3856 4 2 0 1 2008 2265 1565 2801
+3857 4 2 0 1 863 1781 1484 2184
+3858 4 2 0 1 1615 1843 1814 2224
+3859 4 2 0 1 632 2281 1934 2283
+3860 4 2 0 1 1587 1710 2138 2828
+3861 4 2 0 1 781 1936 1769 2379
+3862 4 2 0 1 1530 1998 1759 2266
+3863 4 2 0 1 1860 2305 1794 2360
+3864 4 2 0 1 1553 1783 1921 2415
+3865 4 2 0 1 1599 1714 1911 2261
+3866 4 2 0 1 1622 1794 1860 2079
+3867 4 2 0 1 2127 2327 1687 2576
+3868 4 2 0 1 1693 1796 2183 2372
+3869 4 2 0 1 1917 2163 1551 2611
+3870 4 2 0 1 2040 2170 1606 2541
+3871 4 2 0 1 1670 2003 1596 2478
+3872 4 2 0 1 1774 1620 2011 2599
+3873 4 2 0 1 1730 1937 1607 2724
+3874 4 2 0 1 1839 2392 2000 2616
+3875 4 2 0 1 1802 1920 1675 2334
+3876 4 2 0 1 1328 1954 1758 2194
+3877 4 2 0 1 452 2084 1767 2159
+3878 4 2 0 1 2007 2609 1820 2767
+3879 4 2 0 1 457 430 1737 2468
+3880 4 2 0 1 1544 1951 2244 2335
+3881 4 2 0 1 1598 1836 1770 2249
+3882 4 2 0 1 1830 2183 1865 2471
+3883 4 2 0 1 1887 1909 1840 2629
+3884 4 2 0 1 1713 2028 1855 2074
+3885 4 2 0 1 1713 1581 2028 2074
+3886 4 2 0 1 1569 1966 1980 2517
+3887 4 2 0 1 1836 2238 1666 2356
+3888 4 2 0 1 1771 2115 154 2165
+3889 4 2 0 1 1118 286 1146 1904
+3890 4 2 0 1 1588 1736 2067 2200
+3891 4 2 0 1 1968 2047 1949 2198
+3892 4 2 0 1 1555 1906 1908 2263
+3893 4 2 0 1 1622 1794 2079 2305
+3894 4 2 0 1 1657 2517 1983 2590
+3895 4 2 0 1 1730 1639 2104 2342
+3896 4 2 0 1 2146 2474 1707 2640
+3897 4 2 0 1 1060 1052 1927 2394
+3898 4 2 0 1 1484 1204 1781 2081
+3899 4 2 0 1 792 2055 155 2670
+3900 4 2 0 1 326 2405 233 2556
+3901 4 2 0 1 1653 2009 1949 2587
+3902 4 2 0 1 1546 2023 1737 2127
+3903 4 2 0 1 1645 2151 2083 2549
+3904 4 2 0 1 2076 2137 1872 2715
+3905 4 2 0 1 1569 1902 1716 1918
+3906 4 2 0 1 1206 2056 2586 2785
+3907 4 2 0 1 1411 2012 1760 2263
+3908 4 2 0 1 1958 2266 1530 2471
+3909 4 2 0 1 138 671 1735 2179
+3910 4 2 0 1 1552 2103 1900 2482
+3911 4 2 0 1 442 1829 238 2556
+3912 4 2 0 1 1563 1684 2032 2098
+3913 4 2 0 1 1544 2335 1728 2800
+3914 4 2 0 1 1766 1956 1553 2496
+3915 4 2 0 1 1267 1820 1455 2021
+3916 4 2 0 1 1820 1243 2763 2767
+3917 4 2 0 1 1547 1745 1869 2282
+3918 4 2 0 1 1803 1628 2233 2261
+3919 4 2 0 1 587 680 1207 2053
+3920 4 2 0 1 1626 2008 1858 2265
+3921 4 2 0 1 1532 1916 1782 2150
+3922 4 2 0 1 1629 2066 1816 2106
+3923 4 2 0 1 1328 1758 1400 2132
+3924 4 2 0 1 1613 2037 1852 2429
+3925 4 2 0 1 1756 1531 1964 1981
+3926 4 2 0 1 1558 1816 1778 2017
+3927 4 2 0 1 1575 1846 1981 2025
+3928 4 2 0 1 1701 1871 1739 2698
+3929 4 2 0 1 1525 2135 2184 2822
+3930 4 2 0 1 1558 1985 1778 2239
+3931 4 2 0 1 1647 2085 2134 2389
+3932 4 2 0 1 1689 2050 1561 2348
+3933 4 2 0 1 1535 2089 1867 2304
+3934 4 2 0 1 1318 1354 2042 2077
+3935 4 2 0 1 379 1861 1965 2662
+3936 4 2 0 1 1550 1768 2113 2623
+3937 4 2 0 1 1770 1836 1598 2193
+3938 4 2 0 1 1556 2078 1669 2231
+3939 4 2 0 1 1577 2312 2029 2774
+3940 4 2 0 1 1678 1926 1372 2302
+3941 4 2 0 1 1645 2083 1756 2549
+3942 4 2 0 1 1572 1865 1830 2183
+3943 4 2 0 1 671 1869 1735 2179
+3944 4 2 0 1 1662 2443 2687 2705
+3945 4 2 0 1 2079 2305 1860 2360
+3946 4 2 0 1 647 1934 1825 2192
+3947 4 2 0 1 1561 2050 1689 2220
+3948 4 2 0 1 1819 1829 1603 1927
+3949 4 2 0 1 554 2530 2345 2536
+3950 4 2 0 1 1724 1610 2115 2160
+3951 4 2 0 1 134 1815 663 1972
+3952 4 2 0 1 1639 2042 2342 2463
+3953 4 2 0 1 1802 2052 1545 2401
+3954 4 2 0 1 1610 1757 2109 2426
+3955 4 2 0 1 1886 2240 1943 2479
+3956 4 2 0 1 1690 1765 2404 2702
+3957 4 2 0 1 1140 1721 163 2035
+3958 4 2 0 1 1799 1937 538 2408
+3959 4 2 0 1 1547 2238 1836 2356
+3960 4 2 0 1 1790 1931 1003 2155
+3961 4 2 0 1 2029 2312 2004 2774
+3962 4 2 0 1 1567 1725 2400 2661
+3963 4 2 0 1 1556 1938 1669 2664
+3964 4 2 0 1 1550 1732 2519 2568
+3965 4 2 0 1 1548 1814 1741 2839
+3966 4 2 0 1 1702 2139 1891 2580
+3967 4 2 0 1 1677 1592 1897 2046
+3968 4 2 0 1 1867 1892 2118 2829
+3969 4 2 0 1 193 1952 1729 2209
+3970 4 2 0 1 990 1790 1002 1931
+3971 4 2 0 1 1780 1974 1383 2835
+3972 4 2 0 1 681 1845 1766 2180
+3973 4 2 0 1 1892 2136 1785 2304
+3974 4 2 0 1 1538 2388 1691 2470
+3975 4 2 0 1 1257 1414 2053 2104
+3976 4 2 0 1 1949 1968 1734 2047
+3977 4 2 0 1 1484 1781 863 2081
+3978 4 2 0 1 1553 1825 2663 2749
+3979 4 2 0 1 1925 2006 1795 2312
+3980 4 2 0 1 1740 1942 801 2677
+3981 4 2 0 1 1606 1864 1681 2768
+3982 4 2 0 1 1416 1455 1267 1820
+3983 4 2 0 1 1539 1876 2151 2509
+3984 4 2 0 1 1036 1994 1870 2255
+3985 4 2 0 1 1701 1739 2437 2698
+3986 4 2 0 1 1669 1651 2257 2664
+3987 4 2 0 1 1253 1824 1893 2455
+3988 4 2 0 1 1675 2052 1802 2401
+3989 4 2 0 1 1722 2571 307 2691
+3990 4 2 0 1 1614 1721 2182 2274
+3991 4 2 0 1 1700 1899 2122 2618
+3992 4 2 0 1 1571 1890 2204 2288
+3993 4 2 0 1 1705 2021 2474 2640
+3994 4 2 0 1 581 577 275 1990
+3995 4 2 0 1 2006 2058 1795 2312
+3996 4 2 0 1 2173 2225 1940 2789
+3997 4 2 0 1 1183 822 1290 1810
+3998 4 2 0 1 1668 2207 2472 2481
+3999 4 2 0 1 1752 2288 1890 2451
+4000 4 2 0 1 930 1817 933 2365
+4001 4 2 0 1 278 2327 2127 2576
+4002 4 2 0 1 1768 2134 2085 2607
+4003 4 2 0 1 867 2073 1961 2280
+4004 4 2 0 1 279 581 275 1990
+4005 4 2 0 1 1571 2265 1785 2634
+4006 4 2 0 1 1679 2011 1865 2521
+4007 4 2 0 1 1516 2137 2278 2301
+4008 4 2 0 1 1544 2619 2140 2625
+4009 4 2 0 1 1556 1669 2078 2664
+4010 4 2 0 1 2331 2523 1729 2793
+4011 4 2 0 1 1766 1825 1553 2459
+4012 4 2 0 1 1103 2255 1763 2414
+4013 4 2 0 1 1801 1585 2190 2242
+4014 4 2 0 1 1730 2053 1937 2724
+4015 4 2 0 1 495 998 149 516
+4016 4 2 0 1 1598 2032 1928 2098
+4017 4 2 0 1 968 2165 980 2589
+4018 4 2 0 1 778 1933 2596 2684
+4019 4 2 0 1 1559 1793 1729 2793
+4020 4 2 0 1 1716 1918 1902 2641
+4021 4 2 0 1 1725 2359 2207 2481
+4022 4 2 0 1 1795 2058 2006 2681
+4023 4 2 0 1 1553 1956 1783 2220
+4024 4 2 0 1 1574 1921 2050 2415
+4025 4 2 0 1 899 1889 1781 2165
+4026 4 2 0 1 703 1993 773 2403
+4027 4 2 0 1 1904 2092 170 2225
+4028 4 2 0 1 168 325 1813 2200
+4029 4 2 0 1 1613 2429 1852 2566
+4030 4 2 0 1 1799 2215 2198 2272
+4031 4 2 0 1 1490 576 1491 1995
+4032 4 2 0 1 1691 1943 1538 2470
+4033 4 2 0 1 1684 2311 2296 2482
+4034 4 2 0 1 1699 1606 1979 2559
+4035 4 2 0 1 500 1904 2225 2626
+4036 4 2 0 1 1318 1727 1192 2042
+4037 4 2 0 1 192 270 286 1904
+4038 4 2 0 1 1530 1693 2183 2598
+4039 4 2 0 1 1829 1927 1819 2424
+4040 4 2 0 1 1618 2215 1799 2272
+4041 4 2 0 1 1831 2472 2359 2481
+4042 4 2 0 1 1550 2418 1709 2519
+4043 4 2 0 1 1814 1843 1615 2738
+4044 4 2 0 1 223 1904 270 2349
+4045 4 2 0 1 1588 2067 1813 2200
+4046 4 2 0 1 1647 1812 1744 2480
+4047 4 2 0 1 1729 1961 949 2073
+4048 4 2 0 1 1802 1611 2031 2364
+4049 4 2 0 1 1721 2140 1688 2274
+4050 4 2 0 1 337 2448 1979 2601
+4051 4 2 0 1 1684 2038 2032 2311
+4052 4 2 0 1 1570 1987 1691 2015
+4053 4 2 0 1 1604 1921 1825 2459
+4054 4 2 0 1 1709 2029 2004 2774
+4055 4 2 0 1 1754 941 2251 2259
+4056 4 2 0 1 481 2330 1897 2560
+4057 4 2 0 1 1789 1978 210 2556
+4058 4 2 0 1 1692 2000 1839 2392
+4059 4 2 0 1 1425 2148 1992 2770
+4060 4 2 0 1 1885 1986 1638 2234
+4061 4 2 0 1 1361 1411 1191 2711
+4062 4 2 0 1 1599 1889 1724 2152
+4063 4 2 0 1 1770 2003 1836 2595
+4064 4 2 0 1 1759 1865 2183 2471
+4065 4 2 0 1 1533 1852 2231 2583
+4066 4 2 0 1 1645 1876 2151 2181
+4067 4 2 0 1 1694 2189 1847 2292
+4068 4 2 0 1 1559 1729 1999 2545
+4069 4 2 0 1 1573 1700 1845 2139
+4070 4 2 0 1 1567 1891 1813 2433
+4071 4 2 0 1 1153 1870 1994 2603
+4072 4 2 0 1 1852 1980 1533 2373
+4073 4 2 0 1 1335 1341 1992 2077
+4074 4 2 0 1 1701 1563 1838 2071
+4075 4 2 0 1 1917 2547 2118 2611
+4076 4 2 0 1 1551 1792 1917 2762
+4077 4 2 0 1 1540 2067 1736 2417
+4078 4 2 0 1 1606 1681 2228 2768
+4079 4 2 0 1 1811 2089 1867 2149
+4080 4 2 0 1 1872 2076 1624 2137
+4081 4 2 0 1 1692 1839 2000 2487
+4082 4 2 0 1 1691 2072 1987 2747
+4083 4 2 0 1 1819 1829 1681 2613
+4084 4 2 0 1 1790 2155 1003 2542
+4085 4 2 0 1 1954 2579 1706 2655
+4086 4 2 0 1 807 2068 1765 2501
+4087 4 2 0 1 801 1942 1740 2028
+4088 4 2 0 1 1734 1878 1598 2252
+4089 4 2 0 1 1720 2166 1552 2575
+4090 4 2 0 1 2207 2359 218 2472
+4091 4 2 0 1 1786 1662 2443 2687
+4092 4 2 0 1 709 1765 2068 2144
+4093 4 2 0 1 1647 2224 1812 2480
+4094 4 2 0 1 1576 1710 1959 2043
+4095 4 2 0 1 1572 1923 1693 2183
+4096 4 2 0 1 1689 2452 2630 2652
+4097 4 2 0 1 1622 2041 2375 2666
+4098 4 2 0 1 1560 1987 1824 2550
+4099 4 2 0 1 1579 1886 1943 2479
+4100 4 2 0 1 710 2436 1822 2508
+4101 4 2 0 1 1546 1875 1737 2483
+4102 4 2 0 1 866 933 930 2233
+4103 4 2 0 1 1850 2080 1634 2528
+4104 4 2 0 1 1544 2182 1721 2619
+4105 4 2 0 1 759 1936 1740 2099
+4106 4 2 0 1 1758 1430 2469 2812
+4107 4 2 0 1 1639 2342 1730 2463
+4108 4 2 0 1 1891 1702 2546 2706
+4109 4 2 0 1 1462 2133 1672 2302
+4110 4 2 0 1 612 1841 2236 2344
+4111 4 2 0 1 1563 2038 1684 2482
+4112 4 2 0 1 1677 1841 1592 2761
+4113 4 2 0 1 307 1722 2353 2571
+4114 4 2 0 1 1875 2127 1737 2468
+4115 4 2 0 1 782 841 727 2161
+4116 4 2 0 1 706 806 1769 2099
+4117 4 2 0 1 1660 1715 1981 2491
+4118 4 2 0 1 798 801 1942 2677
+4119 4 2 0 1 1106 1715 1056 1960
+4120 4 2 0 1 1546 2023 2127 2444
+4121 4 2 0 1 1101 2488 1715 2491
+4122 4 2 0 1 1530 1998 2266 2354
+4123 4 2 0 1 1855 2028 1581 2074
+4124 4 2 0 1 998 982 149 1946
+4125 4 2 0 1 1676 2005 1850 2699
+4126 4 2 0 1 1618 1799 1730 2367
+4127 4 2 0 1 1565 1780 1885 1986
+4128 4 2 0 1 1682 2296 2311 2482
+4129 4 2 0 1 1534 2172 2189 2292
+4130 4 2 0 1 1574 1921 1783 2050
+4131 4 2 0 1 1551 1765 2532 2702
+4132 4 2 0 1 1877 2149 1977 2153
+4133 4 2 0 1 1572 1830 1923 2183
+4134 4 2 0 1 1751 1907 1566 2096
+4135 4 2 0 1 1685 2684 1933 2690
+4136 4 2 0 1 223 1979 344 2092
+4137 4 2 0 1 1634 2005 1850 2323
+4138 4 2 0 1 1776 1936 700 2041
+4139 4 2 0 1 1710 1587 2138 2191
+4140 4 2 0 1 442 2424 1829 2556
+4141 4 2 0 1 1610 2109 2331 2426
+4142 4 2 0 1 1706 1574 1821 2036
+4143 4 2 0 1 1865 2011 1679 2454
+4144 4 2 0 1 1578 2682 1950 2727
+4145 4 2 0 1 1221 2018 1731 2788
+4146 4 2 0 1 1808 1420 2033 2667
+4147 4 2 0 1 1551 1713 2074 2532
+4148 4 2 0 1 1579 1971 2420 2781
+4149 4 2 0 1 1635 2402 1784 2623
+4150 4 2 0 1 1762 2077 1992 2340
+4151 4 2 0 1 1965 1967 1670 2286
+4152 4 2 0 1 1193 2008 1749 2322
+4153 4 2 0 1 2058 2312 2006 2681
+4154 4 2 0 1 1685 2596 1933 2684
+4155 4 2 0 1 1693 1923 1830 2183
+4156 4 2 0 1 210 342 357 2556
+4157 4 2 0 1 491 1997 2298 2353
+4158 4 2 0 1 1979 2448 1699 2601
+4159 4 2 0 1 1599 2048 1714 2152
+4160 4 2 0 1 1700 2122 1868 2618
+4161 4 2 0 1 1591 2085 1843 2389
+4162 4 2 0 1 1575 1846 1975 1981
+4163 4 2 0 1 1724 2115 1793 2160
+4164 4 2 0 1 1768 1966 1635 2465
+4165 4 2 0 1 1568 1963 2142 2440
+4166 4 2 0 1 1688 2140 1721 2619
+4167 4 2 0 1 1573 1899 1700 2139
+4168 4 2 0 1 1503 2051 1810 2722
+4169 4 2 0 1 1804 2143 1777 2295
+4170 4 2 0 1 1496 576 667 2131
+4171 4 2 0 1 1690 1993 2445 2498
+4172 4 2 0 1 1876 1887 1645 2600
+4173 4 2 0 1 1791 2334 2231 2504
+4174 4 2 0 1 1615 1790 1751 2695
+4175 4 2 0 1 1860 2360 1794 2425
+4176 4 2 0 1 1528 1911 1714 2510
+4177 4 2 0 1 1819 1927 1060 2424
+4178 4 2 0 1 325 1813 2200 2328
+4179 4 2 0 1 1610 1862 2363 2426
+4180 4 2 0 1 1977 2149 1665 2153
+4181 4 2 0 1 193 521 526 1961
+4182 4 2 0 1 1586 1970 1900 2290
+4183 4 2 0 1 1814 2221 1843 2738
+4184 4 2 0 1 1717 2340 1818 2820
+4185 4 2 0 1 1093 2043 2346 2458
+4186 4 2 0 1 1645 1756 2083 2646
+4187 4 2 0 1 1342 1780 1353 2322
+4188 4 2 0 1 1328 1347 1954 2194
+4189 4 2 0 1 1572 2183 1854 2515
+4190 4 2 0 1 1583 2202 1904 2622
+4191 4 2 0 1 876 2057 1907 2279
+4192 4 2 0 1 457 472 240 2127
+4193 4 2 0 1 1645 2083 1853 2646
+4194 4 2 0 1 1681 1864 1606 2642
+4195 4 2 0 1 728 1771 155 2055
+4196 4 2 0 1 1604 1934 1825 2281
+4197 4 2 0 1 1635 1784 2402 2460
+4198 4 2 0 1 226 2127 1687 2576
+4199 4 2 0 1 1447 1937 1460 1984
+4200 4 2 0 1 1577 2029 2166 2774
+4201 4 2 0 1 957 2070 1797 2137
+4202 4 2 0 1 1578 1985 2682 2727
+4203 4 2 0 1 1561 2220 1689 2654
+4204 4 2 0 1 258 1767 452 2574
+4205 4 2 0 1 1635 1966 1768 2113
+4206 4 2 0 1 1709 1945 1784 2300
+4207 4 2 0 1 1581 1953 1747 2074
+4208 4 2 0 1 1739 1701 2116 2808
+4209 4 2 0 1 1744 1812 1647 2465
+4210 4 2 0 1 1830 1865 1597 2471
+4211 4 2 0 1 1348 1872 1357 2076
+4212 4 2 0 1 1746 1091 1864 2406
+4213 4 2 0 1 1553 2069 1766 2496
+4214 4 2 0 1 1632 1763 1876 2114
+4215 4 2 0 1 1411 2263 1191 2711
+4216 4 2 0 1 1697 1552 1989 2779
+4217 4 2 0 1 342 2268 357 2556
+4218 4 2 0 1 1432 2008 1906 2205
+4219 4 2 0 1 1484 1781 1204 2184
+4220 4 2 0 1 1530 2213 1693 2598
+4221 4 2 0 1 1530 2266 2118 2354
+4222 4 2 0 1 1695 1903 1835 2002
+4223 4 2 0 1 278 2127 226 2576
+4224 4 2 0 1 1929 2035 992 2259
+4225 4 2 0 1 1153 1994 1661 2603
+4226 4 2 0 1 204 324 373 2190
+4227 4 2 0 1 1630 2459 2192 2759
+4228 4 2 0 1 1573 1700 1868 2672
+4229 4 2 0 1 1646 1901 1745 2434
+4230 4 2 0 1 1847 1947 1603 2189
+4231 4 2 0 1 866 937 1889 2081
+4232 4 2 0 1 782 727 2120 2161
+4233 4 2 0 1 1784 2402 1941 2623
+4234 4 2 0 1 1445 2247 1772 2326
+4235 4 2 0 1 1579 1943 2285 2411
+4236 4 2 0 1 614 1948 2400 2530
+4237 4 2 0 1 1318 2013 1727 2042
+4238 4 2 0 1 1530 2183 1693 2213
+4239 4 2 0 1 1005 1748 975 2382
+4240 4 2 0 1 1563 1915 1989 2147
+4241 4 2 0 1 1663 1968 2047 2167
+4242 4 2 0 1 1891 2139 1702 2706
+4243 4 2 0 1 1602 2038 1861 2090
+4244 4 2 0 1 1793 2115 1610 2160
+4245 4 2 0 1 807 1765 709 2501
+4246 4 2 0 1 1896 1732 2298 2519
+4247 4 2 0 1 1545 1856 2031 2271
+4248 4 2 0 1 2099 2171 806 2631
+4249 4 2 0 1 1710 1587 2594 2710
+4250 4 2 0 1 1641 1998 1892 2136
+4251 4 2 0 1 1344 1758 1430 2469
+4252 4 2 0 1 1598 1838 1770 2193
+4253 4 2 0 1 1681 1606 1913 2642
+4254 4 2 0 1 258 2159 1767 2333
+4255 4 2 0 1 558 1937 1447 1984
+4256 4 2 0 1 1710 2043 1576 2095
+4257 4 2 0 1 1730 2198 1799 2215
+4258 4 2 0 1 1952 1961 1729 2545
+4259 4 2 0 1 1340 2579 1954 2655
+4260 4 2 0 1 1802 1970 1611 2364
+4261 4 2 0 1 1685 1571 1991 2634
+4262 4 2 0 1 1860 2079 1794 2305
+4263 4 2 0 1 1606 1978 1699 2228
+4264 4 2 0 1 1088 1975 1763 2119
+4265 4 2 0 1 852 155 728 1771
+4266 4 2 0 1 168 2200 1813 2399
+4267 4 2 0 1 1337 2033 2016 2370
+4268 4 2 0 1 875 871 2280 2803
+4269 4 2 0 1 1818 2340 1717 2599
+4270 4 2 0 1 982 1946 998 2477
+4271 4 2 0 1 677 1934 632 2281
+4272 4 2 0 1 1585 2211 2190 2653
+4273 4 2 0 1 1559 2331 1793 2793
+4274 4 2 0 1 1730 2053 1437 2104
+4275 4 2 0 1 1896 2004 1732 2519
+4276 4 2 0 1 1567 1813 2196 2433
+4277 4 2 0 1 1550 2004 2418 2519
+4278 4 2 0 1 1884 2124 261 2456
+4279 4 2 0 1 1673 2004 1806 2362
+4280 4 2 0 1 1572 1693 1923 2174
+4281 4 2 0 1 491 2353 307 2691
+4282 4 2 0 1 1588 1655 1982 2328
+4283 4 2 0 1 1721 1688 2182 2274
+4284 4 2 0 1 1106 1101 1056 1715
+4285 4 2 0 1 778 1933 2684 2690
+4286 4 2 0 1 1599 2152 1714 2261
+4287 4 2 0 1 1542 1726 2235 2305
+4288 4 2 0 1 1209 2001 1678 2302
+4289 4 2 0 1 1655 2430 1982 2727
+4290 4 2 0 1 1864 2138 1587 2584
+4291 4 2 0 1 2345 2687 2443 2705
+4292 4 2 0 1 1785 2136 2204 2304
+4293 4 2 0 1 1761 1931 1546 2155
+4294 4 2 0 1 1922 2016 1442 2493
+4295 4 2 0 1 1550 1941 2085 2293
+4296 4 2 0 1 783 717 1757 2186
+4297 4 2 0 1 1692 1839 2487 2665
+4298 4 2 0 1 1820 2755 1886 2760
+4299 4 2 0 1 1619 1800 1862 2490
+4300 4 2 0 1 1737 1591 1895 2832
+4301 4 2 0 1 1715 2060 1101 2491
+4302 4 2 0 1 787 2529 2135 2722
+4303 4 2 0 1 1728 2627 1544 2800
+4304 4 2 0 1 1587 1711 2075 2191
+4305 4 2 0 1 802 2028 1855 2585
+4306 4 2 0 1 1728 1601 1945 2240
+4307 4 2 0 1 709 2068 757 2144
+4308 4 2 0 1 1671 1874 2112 2116
+4309 4 2 0 1 1759 2183 1572 2515
+4310 4 2 0 1 1253 1893 2201 2455
+4311 4 2 0 1 1585 2030 2190 2211
+4312 4 2 0 1 1759 1854 2183 2515
+4313 4 2 0 1 926 2248 2125 2553
+4314 4 2 0 1 1840 2617 1887 2629
+4315 4 2 0 1 1946 2523 2331 2793
+4316 4 2 0 1 1826 2055 1771 2186
+4317 4 2 0 1 1641 2136 1892 2304
+4318 4 2 0 1 1862 2490 1800 2793
+4319 4 2 0 1 1199 1421 1976 2091
+4320 4 2 0 1 921 989 1751 2279
+4321 4 2 0 1 194 512 2173 2818
+4322 4 2 0 1 1328 1344 1400 1758
+4323 4 2 0 1 1639 2104 2042 2579
+4324 4 2 0 1 1882 2315 1964 2735
+4325 4 2 0 1 1862 1877 1619 2149
+4326 4 2 0 1 1871 2437 1739 2698
+4327 4 2 0 1 1558 1985 2239 2837
+4328 4 2 0 1 1371 1411 1373 2263
+4329 4 2 0 1 1530 2183 1854 2598
+4330 4 2 0 1 1089 1864 1091 2406
+4331 4 2 0 1 442 1927 1829 2424
+4332 4 2 0 1 1961 2107 914 2280
+4333 4 2 0 1 1577 1720 1848 2166
+4334 4 2 0 1 1730 1280 2053 2724
+4335 4 2 0 1 1587 1746 2108 2828
+4336 4 2 0 1 1663 2167 2047 2573
+4337 4 2 0 1 1615 2444 1894 2492
+4338 4 2 0 1 1744 2121 1812 2465
+4339 4 2 0 1 1257 2053 1828 2104
+4340 4 2 0 1 1563 1701 2038 2071
+4341 4 2 0 1 1774 2011 1804 2599
+4342 4 2 0 1 1669 1938 1651 2664
+4343 4 2 0 1 1595 2112 1874 2116
+4344 4 2 0 1 323 1979 337 2448
+4345 4 2 0 1 1867 2089 1535 2149
+4346 4 2 0 1 1255 2021 1705 2640
+4347 4 2 0 1 1669 2257 1844 2664
+4348 4 2 0 1 1660 1981 1715 2368
+4349 4 2 0 1 428 1897 2472 2560
+4350 4 2 0 1 1728 1945 1601 2227
+4351 4 2 0 1 1766 2192 1825 2459
+4352 4 2 0 1 1553 1825 1766 2663
+4353 4 2 0 1 452 1767 258 2159
+4354 4 2 0 1 1793 2331 1729 2793
+4355 4 2 0 1 1867 2149 1665 2611
+4356 4 2 0 1 385 2159 258 2333
+4357 4 2 0 1 1886 1728 2244 2540
+4358 4 2 0 1 1840 1887 1609 1909
+4359 4 2 0 1 1801 2005 1634 2190
+4360 4 2 0 1 1886 2240 1728 2540
+4361 4 2 0 1 1547 1745 1901 2434
+4362 4 2 0 1 1687 1600 1894 2023
+4363 4 2 0 1 1558 2239 2027 2837
+4364 4 2 0 1 1563 2038 1861 2071
+4365 4 2 0 1 1534 1827 1910 2172
+4366 4 2 0 1 1532 1950 1916 2150
+4367 4 2 0 1 1782 1916 1650 2150
+4368 4 2 0 1 1862 1877 1643 2793
+4369 4 2 0 1 587 1937 620 2053
+4370 4 2 0 1 1806 2004 1732 2680
+4371 4 2 0 1 1567 1891 2139 2580
+4372 4 2 0 1 2087 2375 785 2666
+4373 4 2 0 1 1328 1758 2132 2194
+4374 4 2 0 1 1688 2346 2043 2458
+4375 4 2 0 1 1475 1367 1471 2057
+4376 4 2 0 1 1714 2152 2048 2616
+4377 4 2 0 1 1778 1816 1558 2027
+4378 4 2 0 1 1722 2353 1997 2691
+4379 4 2 0 1 1529 2244 2240 2540
+4380 4 2 0 1 1660 1901 2544 2600
+4381 4 2 0 1 2298 2519 1732 2568
+4382 4 2 0 1 1784 1945 1709 2418
+4383 4 2 0 1 1807 1625 1988 2015
+4384 4 2 0 1 1842 1975 1120 2733
+4385 4 2 0 1 1654 2241 2057 2383
+4386 4 2 0 1 1727 2340 2077 2573
+4387 4 2 0 1 1742 2167 1609 2356
+4388 4 2 0 1 1610 2331 1862 2426
+4389 4 2 0 1 2118 2547 1867 2611
+4390 4 2 0 1 1335 1412 2077 2091
+4391 4 2 0 1 1566 1803 1731 2558
+4392 4 2 0 1 1730 1607 2198 2724
+4393 4 2 0 1 1794 2087 1622 2375
+4394 4 2 0 1 1793 1729 2331 2523
+4395 4 2 0 1 1530 2118 1880 2354
+4396 4 2 0 1 1665 1917 1792 1996
+4397 4 2 0 1 213 2020 2297 2438
+4398 4 2 0 1 1565 1785 2136 2265
+4399 4 2 0 1 1769 2099 806 2631
+4400 4 2 0 1 1618 2104 1730 2215
+4401 4 2 0 1 1870 2223 1661 2232
+4402 4 2 0 1 1724 1889 1599 2365
+4403 4 2 0 1 1529 2015 1691 2300
+4404 4 2 0 1 1623 1887 2617 2629
+4405 4 2 0 1 1720 1552 1989 2575
+4406 4 2 0 1 1643 1877 1862 2426
+4407 4 2 0 1 1704 1540 1874 2230
+4408 4 2 0 1 255 1967 499 2297
+4409 4 2 0 1 1122 2138 1864 2584
+4410 4 2 0 1 2139 2546 1702 2706
+4411 4 2 0 1 433 2445 1993 2498
+4412 4 2 0 1 1768 2113 1966 2517
+4413 4 2 0 1 1811 2204 1641 2304
+4414 4 2 0 1 957 164 1797 2070
+4415 4 2 0 1 1611 2168 1970 2796
+4416 4 2 0 1 2439 2487 1851 2731
+4417 4 2 0 1 1784 1709 2309 2418
+4418 4 2 0 1 1540 1899 1702 2067
+4419 4 2 0 1 1796 1958 2372 2506
+4420 4 2 0 1 1531 1756 1882 2063
+4421 4 2 0 1 2240 2244 1728 2540
+4422 4 2 0 1 1568 2142 1878 2440
+4423 4 2 0 1 293 2262 1686 2448
+4424 4 2 0 1 1490 1198 576 1995
+4425 4 2 0 1 2041 785 2375 2666
+4426 4 2 0 1 1924 2131 1794 2484
+4427 4 2 0 1 154 1771 828 2115
+4428 4 2 0 1 1594 1918 1716 2097
+4429 4 2 0 1 1701 2524 2116 2808
+4430 4 2 0 1 1635 1941 2402 2623
+4431 4 2 0 1 1793 1610 2115 2331
+4432 4 2 0 1 1773 1882 1584 2063
+4433 4 2 0 1 1739 2311 1701 2437
+4434 4 2 0 1 1185 1758 1328 1954
+4435 4 2 0 1 763 848 1855 2436
+4436 4 2 0 1 523 2157 1720 2624
+4437 4 2 0 1 1851 2439 2431 2487
+4438 4 2 0 1 210 1978 1789 2601
+4439 4 2 0 1 1844 1987 1560 1988
+4440 4 2 0 1 1583 2054 1846 2789
+4441 4 2 0 1 706 781 1769 2379
+4442 4 2 0 1 324 2190 2084 2323
+4443 4 2 0 1 1657 1850 2002 2270
+4444 4 2 0 1 1684 1989 1882 2098
+4445 4 2 0 1 1662 2687 2120 2705
+4446 4 2 0 1 1568 2142 1963 2167
+4447 4 2 0 1 2143 2295 1804 2602
+4448 4 2 0 1 2087 2131 1924 2484
+4449 4 2 0 1 1813 1891 1655 2433
+4450 4 2 0 1 1793 1999 1729 2073
+4451 4 2 0 1 1199 1976 1742 2091
+4452 4 2 0 1 613 554 2345 2536
+4453 4 2 0 1 1707 2146 1256 2278
+4454 4 2 0 1 1737 2023 1591 2832
+4455 4 2 0 1 1547 1878 1734 1968
+4456 4 2 0 1 1758 2069 1553 2206
+4457 4 2 0 1 1677 2330 621 2761
+4458 4 2 0 1 573 629 1995 2497
+4459 4 2 0 1 1977 1993 433 2445
+4460 4 2 0 1 1677 1592 2046 2761
+4461 4 2 0 1 1283 1976 1523 2264
+4462 4 2 0 1 1021 1688 1041 2346
+4463 4 2 0 1 1609 1762 2142 2167
+4464 4 2 0 1 1192 1341 2077 2337
+4465 4 2 0 1 768 2034 1826 2529
+4466 4 2 0 1 1615 1751 1898 2636
+4467 4 2 0 1 1547 1734 1878 2790
+4468 4 2 0 1 1653 1949 2009 2169
+4469 4 2 0 1 1207 1937 587 2053
+4470 4 2 0 1 413 2066 377 2068
+4471 4 2 0 1 1739 1871 1701 2808
+4472 4 2 0 1 329 1736 419 2399
+4473 4 2 0 1 1924 2087 1794 2131
+4474 4 2 0 1 1540 2059 1838 2230
+4475 4 2 0 1 1565 1892 1998 2136
+4476 4 2 0 1 2082 2181 2022 2629
+4477 4 2 0 1 419 1736 2200 2399
+4478 4 2 0 1 1342 1353 1780 2512
+4479 4 2 0 1 1673 1806 2004 2312
+4480 4 2 0 1 1571 2136 1785 2265
+4481 4 2 0 1 1557 2357 1819 2613
+4482 4 2 0 1 1341 1425 1762 1992
+4483 4 2 0 1 1710 1883 1576 1959
+4484 4 2 0 1 1873 2251 941 2259
+4485 4 2 0 1 1577 2004 2029 2312
+4486 4 2 0 1 346 1978 326 2556
+4487 4 2 0 1 1861 2391 2071 2438
+4488 4 2 0 1 1757 2307 776 2403
+4489 4 2 0 1 1342 1780 1337 2016
+4490 4 2 0 1 1792 1649 1996 2762
+4491 4 2 0 1 1753 1533 1980 2373
+4492 4 2 0 1 1767 1879 1602 2164
+4493 4 2 0 1 1822 2508 1718 2773
+4494 4 2 0 1 192 1904 1118 2349
+4495 4 2 0 1 787 2055 2135 2529
+4496 4 2 0 1 1567 2400 1809 2661
+4497 4 2 0 1 1693 2174 1572 2183
+4498 4 2 0 1 1496 1995 576 2131
+4499 4 2 0 1 1318 2042 1192 2077
+4500 4 2 0 1 1356 2007 1772 2247
+4501 4 2 0 1 1641 1867 2118 2547
+4502 4 2 0 1 538 1799 620 1937
+4503 4 2 0 1 935 968 980 2589
+4504 4 2 0 1 1569 2237 1983 2590
+4505 4 2 0 1 163 2035 1721 2734
+4506 4 2 0 1 1503 1810 2051 2615
+4507 4 2 0 1 1762 2142 1963 2243
+4508 4 2 0 1 1511 973 1872 2241
+4509 4 2 0 1 792 728 155 2055
+4510 4 2 0 1 1687 2127 2023 2444
+4511 4 2 0 1 1598 2032 1838 2678
+4512 4 2 0 1 634 2169 1841 2766
+4513 4 2 0 1 223 2092 1904 2349
+4514 4 2 0 1 1623 2617 1840 2629
+4515 4 2 0 1 1572 2174 2012 2515
+4516 4 2 0 1 2092 2225 1583 2516
+4517 4 2 0 1 2077 2340 1568 2573
+4518 4 2 0 1 1792 1996 1917 2762
+4519 4 2 0 1 1183 1933 1810 2557
+4520 4 2 0 1 1627 1924 1794 2484
+4521 4 2 0 1 2135 2184 1696 2670
+4522 4 2 0 1 1575 1846 2025 2570
+4523 4 2 0 1 184 1897 481 2330
+4524 4 2 0 1 599 1948 541 2530
+4525 4 2 0 1 193 267 1952 2209
+4526 4 2 0 1 781 2041 1936 2379
+4527 4 2 0 1 1743 1854 1998 2729
+4528 4 2 0 1 1824 2199 1893 2455
+4529 4 2 0 1 1528 2465 1919 2650
+4530 4 2 0 1 1644 2071 2391 2438
+4531 4 2 0 1 1328 1400 1231 2132
+4532 4 2 0 1 1342 1177 1780 2016
+4533 4 2 0 1 1789 2268 357 2269
+4534 4 2 0 1 1556 2370 2016 2429
+4535 4 2 0 1 1820 2609 2289 2767
+4536 4 2 0 1 1713 2288 2267 2585
+4537 4 2 0 1 313 317 2123 2795
+4538 4 2 0 1 1660 1842 1745 2733
+4539 4 2 0 1 1925 1795 2058 2312
+4540 4 2 0 1 928 975 1748 2162
+4541 4 2 0 1 1634 2190 2052 2242
+4542 4 2 0 1 1570 1820 1798 2007
+4543 4 2 0 1 1543 2075 2025 2336
+4544 4 2 0 1 1591 2023 1737 2134
+4545 4 2 0 1 1609 1909 2243 2721
+4546 4 2 0 1 317 2156 2123 2795
+4547 4 2 0 1 1569 1980 2113 2517
+4548 4 2 0 1 1681 1913 1606 1978
+4549 4 2 0 1 1583 2025 2202 2622
+4550 4 2 0 1 261 2124 1884 2533
+4551 4 2 0 1 313 2123 1732 2795
+4552 4 2 0 1 1531 2098 1770 2249
+4553 4 2 0 1 1445 1356 1772 2247
+4554 4 2 0 1 1559 2490 1862 2793
+4555 4 2 0 1 1609 2243 1762 2721
+4556 4 2 0 1 134 1960 1815 2410
+4557 4 2 0 1 1687 2327 1006 2576
+4558 4 2 0 1 1949 2009 1799 2587
+4559 4 2 0 1 387 1983 1902 2669
+4560 4 2 0 1 1638 2234 1986 2476
+4561 4 2 0 1 797 1713 758 2288
+4562 4 2 0 1 1535 2487 1839 2665
+4563 4 2 0 1 1528 1714 2048 2111
+4564 4 2 0 1 1786 2443 2345 2687
+4565 4 2 0 1 1658 2202 1904 2564
+4566 4 2 0 1 1432 2205 1906 2513
+4567 4 2 0 1 1590 2002 1850 2270
+4568 4 2 0 1 1788 2024 1627 2305
+4569 4 2 0 1 1626 2205 2008 2265
+4570 4 2 0 1 1539 1870 2114 2710
+4571 4 2 0 1 1547 1968 1734 2790
+4572 4 2 0 1 1243 1820 2289 2767
+4573 4 2 0 1 1959 2108 1640 2719
+4574 4 2 0 1 773 1993 1849 2403
+4575 4 2 0 1 1624 2137 2076 2301
+4576 4 2 0 1 324 398 373 2323
+4577 4 2 0 1 2431 2439 1851 2731
+4578 4 2 0 1 323 337 199 2448
+4579 4 2 0 1 703 2316 1993 2403
+4580 4 2 0 1 1529 2240 1945 2300
+4581 4 2 0 1 1703 1851 2487 2731
+4582 4 2 0 1 1794 2235 1726 2305
+4583 4 2 0 1 1775 1606 2040 2170
+4584 4 2 0 1 1388 1731 1221 2018
+4585 4 2 0 1 1642 2012 2174 2515
+4586 4 2 0 1 1583 2092 2516 2622
+4587 4 2 0 1 1909 2551 1840 2629
+4588 4 2 0 1 1658 1863 1775 2535
+4589 4 2 0 1 871 994 1761 2803
+4590 4 2 0 1 326 1978 1913 2405
+4591 4 2 0 1 914 867 1961 2280
+4592 4 2 0 1 1437 2053 1414 2104
+4593 4 2 0 1 1189 2620 2146 2640
+4594 4 2 0 1 1602 1879 1767 2333
+4595 4 2 0 1 1834 2396 1727 2654
+4596 4 2 0 1 1694 2366 1947 2683
+4597 4 2 0 1 706 1769 806 2631
+4598 4 2 0 1 1672 2001 1296 2302
+4599 4 2 0 1 2236 2344 1841 2745
+4600 4 2 0 1 1337 1342 1383 2835
+4601 4 2 0 1 1548 1805 1755 2254
+4602 4 2 0 1 1625 2015 1807 2019
+4603 4 2 0 1 1003 1931 990 2155
+4604 4 2 0 1 1437 1280 1730 2724
+4605 4 2 0 1 523 2222 2157 2624
+4606 4 2 0 1 1850 2080 1676 2699
+4607 4 2 0 1 1673 2218 1910 2335
+4608 4 2 0 1 378 1947 1847 2683
+4609 4 2 0 1 531 681 1845 2192
+4610 4 2 0 1 1959 2108 1746 2828
+4611 4 2 0 1 1675 1802 2271 2401
+4612 4 2 0 1 1808 2018 1420 2667
+4613 4 2 0 1 1550 2309 1709 2418
+4614 4 2 0 1 1540 1704 2059 2230
+4615 4 2 0 1 1812 2121 1744 2510
+4616 4 2 0 1 1694 1947 1847 2189
+4617 4 2 0 1 367 414 389 2641
+4618 4 2 0 1 1783 2526 1574 2538
+4619 4 2 0 1 1496 1491 1995 2131
+4620 4 2 0 1 871 1761 994 1931
+4621 4 2 0 1 1892 1998 1641 2118
+4622 4 2 0 1 1460 1984 1937 2724
+4623 4 2 0 1 1736 2438 2071 2756
+4624 4 2 0 1 2191 2594 1587 2710
+4625 4 2 0 1 840 1771 2055 2186
+4626 4 2 0 1 1689 1561 2112 2348
+4627 4 2 0 1 1552 2166 1720 2779
+4628 4 2 0 1 1721 2035 1140 2416
+4629 4 2 0 1 1584 2063 1756 2549
+4630 4 2 0 1 1870 2114 1632 2223
+4631 4 2 0 1 1780 1986 1565 2783
+4632 4 2 0 1 1221 1731 2531 2788
+4633 4 2 0 1 1318 1336 1727 2013
+4634 4 2 0 1 1574 1821 1921 2415
+4635 4 2 0 1 2032 2296 1684 2311
+4636 4 2 0 1 1670 2003 2478 2604
+4637 4 2 0 1 1978 2559 1699 2601
+4638 4 2 0 1 1142 158 1158 2049
+4639 4 2 0 1 2051 2055 1580 2529
+4640 4 2 0 1 2085 2134 1591 2607
+4641 4 2 0 1 998 149 516 1946
+4642 4 2 0 1 1490 1491 1198 1995
+4643 4 2 0 1 995 2137 893 2278
+4644 4 2 0 1 457 227 430 2468
+4645 4 2 0 1 357 352 321 1789
+4646 4 2 0 1 1352 1798 1935 2094
+4647 4 2 0 1 1525 2184 1284 2822
+4648 4 2 0 1 1764 2033 1808 2177
+4649 4 2 0 1 1283 1182 1523 1976
+4650 4 2 0 1 1709 2004 2312 2774
+4651 4 2 0 1 1937 2053 1280 2724
+4652 4 2 0 1 481 1897 428 2560
+4653 4 2 0 1 1563 1697 1915 2662
+4654 4 2 0 1 2084 2190 1634 2323
+4655 4 2 0 1 385 2159 2333 2407
+4656 4 2 0 1 1541 2310 1938 2476
+4657 4 2 0 1 1122 1864 1089 2584
+4658 4 2 0 1 1557 1819 2357 2764
+4659 4 2 0 1 1609 1887 2142 2243
+4660 4 2 0 1 1765 2144 709 2267
+4661 4 2 0 1 490 1918 387 1983
+4662 4 2 0 1 1759 1998 1854 2234
+4663 4 2 0 1 1140 1173 1721 2274
+4664 4 2 0 1 1638 1885 1780 1986
+4665 4 2 0 1 480 2456 582 2658
+4666 4 2 0 1 1814 1843 1647 2224
+4667 4 2 0 1 1602 2185 1861 2698
+4668 4 2 0 1 1655 1950 1891 2430
+4669 4 2 0 1 326 1978 2405 2556
+4670 4 2 0 1 1355 2077 1412 2091
+4671 4 2 0 1 2032 2116 1671 2651
+4672 4 2 0 1 1530 1880 2118 2266
+4673 4 2 0 1 1373 2358 1760 2441
+4674 4 2 0 1 401 2268 1829 2464
+4675 4 2 0 1 1529 2240 2244 2656
+4676 4 2 0 1 1976 2264 1646 2303
+4677 4 2 0 1 512 2225 2173 2818
+4678 4 2 0 1 1736 2067 1813 2417
+4679 4 2 0 1 1582 2316 1690 2816
+4680 4 2 0 1 1708 1820 1616 2022
+4681 4 2 0 1 926 1817 2248 2553
+4682 4 2 0 1 1218 2455 2044 2493
+4683 4 2 0 1 1715 2003 1617 2368
+4684 4 2 0 1 1778 1905 1659 1985
+4685 4 2 0 1 663 1972 1815 2236
+4686 4 2 0 1 1730 2104 1437 2342
+4687 4 2 0 1 1185 1328 1347 1954
+4688 4 2 0 1 1571 1785 2136 2204
+4689 4 2 0 1 1589 1731 2105 2320
+4690 4 2 0 1 192 270 1904 2349
+4691 4 2 0 1 1577 1925 1795 2058
+4692 4 2 0 1 1774 1620 2201 2737
+4693 4 2 0 1 1714 2048 2111 2616
+4694 4 2 0 1 1561 2396 1834 2654
+4695 4 2 0 1 1938 2310 1638 2476
+4696 4 2 0 1 1285 2056 1281 2586
+4697 4 2 0 1 1877 2149 1862 2426
+4698 4 2 0 1 604 599 541 2530
+4699 4 2 0 1 1548 1755 1805 2208
+4700 4 2 0 1 1511 1872 973 2715
+4701 4 2 0 1 1672 1971 1755 2420
+4702 4 2 0 1 1620 1804 1774 2199
+4703 4 2 0 1 769 2186 1826 2307
+4704 4 2 0 1 1547 2250 1869 2434
+4705 4 2 0 1 1568 1878 2142 2167
+4706 4 2 0 1 1799 1937 1730 2053
+4707 4 2 0 1 1523 2264 2303 2339
+4708 4 2 0 1 1848 1925 1584 2083
+4709 4 2 0 1 1731 1803 1628 2499
+4710 4 2 0 1 1762 1568 2077 2340
+4711 4 2 0 1 1659 2682 1985 2727
+4712 4 2 0 1 324 2084 398 2323
+4713 4 2 0 1 1119 1181 1083 2785
+4714 4 2 0 1 1696 2051 2055 2361
+4715 4 2 0 1 1013 155 154 1771
+4716 4 2 0 1 1687 2155 1006 2327
+4717 4 2 0 1 1530 1854 1743 2598
+4718 4 2 0 1 1655 2196 1813 2433
+4719 4 2 0 1 1559 1851 1862 2490
+4720 4 2 0 1 1593 2073 1961 2545
+4721 4 2 0 1 1572 2284 2012 2441
+4722 4 2 0 1 1887 2243 1909 2629
+4723 4 2 0 1 1906 2008 1626 2205
+4724 4 2 0 1 1627 1794 2235 2497
+4725 4 2 0 1 1218 2044 1922 2493
+4726 4 2 0 1 1528 2486 2650 2836
+4727 4 2 0 1 1940 1964 1531 1981
+4728 4 2 0 1 239 1977 2153 2567
+4729 4 2 0 1 1784 1943 1691 2240
+4730 4 2 0 1 1540 1702 1899 2630
+4731 4 2 0 1 1760 1923 1622 2329
+4732 4 2 0 1 1009 2162 1751 2562
+4733 4 2 0 1 2048 2466 2111 2616
+4734 4 2 0 1 1529 1698 2015 2216
+4735 4 2 0 1 1369 1437 2104 2342
+4736 4 2 0 1 1165 1120 1842 1975
+4737 4 2 0 1 1355 2091 1412 2507
+4738 4 2 0 1 1660 1975 1842 2733
+4739 4 2 0 1 1820 2291 1886 2755
+4740 4 2 0 1 1583 1846 2054 2202
+4741 4 2 0 1 1660 1975 1846 1981
+4742 4 2 0 1 1697 1989 2157 2779
+4743 4 2 0 1 1774 1834 1620 2737
+4744 4 2 0 1 1596 2286 1670 2752
+4745 4 2 0 1 1573 1845 1700 2672
+4746 4 2 0 1 1328 2132 1231 2194
+4747 4 2 0 1 1611 2168 1777 2527
+4748 4 2 0 1 168 330 325 2200
+4749 4 2 0 1 1687 2127 226 2679
+4750 4 2 0 1 1660 2491 1975 2733
+4751 4 2 0 1 1728 2240 1886 2479
+4752 4 2 0 1 1837 2188 1741 2511
+4753 4 2 0 1 836 465 837 2106
+4754 4 2 0 1 1545 2031 1856 2809
+4755 4 2 0 1 2100 2377 2161 2643
+4756 4 2 0 1 1719 2289 1438 2551
+4757 4 2 0 1 1754 2259 1929 2561
+4758 4 2 0 1 1541 1759 2310 2476
+4759 4 2 0 1 1594 1716 2176 2319
+4760 4 2 0 1 1342 1383 1780 2322
+4761 4 2 0 1 1834 2201 1620 2737
+4762 4 2 0 1 1173 163 1140 1721
+4763 4 2 0 1 1917 2118 1867 2611
+4764 4 2 0 1 768 1826 779 2529
+4765 4 2 0 1 1737 1895 2023 2832
+4766 4 2 0 1 1574 1782 2024 2308
+4767 4 2 0 1 1809 2400 644 2610
+4768 4 2 0 1 1630 1934 2459 2753
+4769 4 2 0 1 1732 2219 1591 2293
+4770 4 2 0 1 1119 1083 2056 2785
+4771 4 2 0 1 1793 2331 2115 2523
+4772 4 2 0 1 1173 2140 1721 2274
+4773 4 2 0 1 1780 2016 1556 2370
+4774 4 2 0 1 1582 1993 1957 2403
+4775 4 2 0 1 621 2344 1677 2761
+4776 4 2 0 1 218 2207 431 2359
+4777 4 2 0 1 1686 1823 1964 2797
+4778 4 2 0 1 1615 2224 1814 2738
+4779 4 2 0 1 193 1961 526 2477
+4780 4 2 0 1 1738 2650 2486 2836
+4781 4 2 0 1 1565 1892 1785 2665
+4782 4 2 0 1 1165 1975 1842 2414
+4783 4 2 0 1 706 1769 746 2379
+4784 4 2 0 1 1444 1749 1193 2008
+4785 4 2 0 1 1544 2627 2226 2800
+4786 4 2 0 1 1577 2029 1720 2166
+4787 4 2 0 1 1546 1761 2127 2689
+4788 4 2 0 1 1118 2349 1904 2564
+4789 4 2 0 1 876 1907 989 2279
+4790 4 2 0 1 1812 1744 2708 2794
+4791 4 2 0 1 1699 2062 316 2448
+4792 4 2 0 1 1556 1986 1780 2037
+4793 4 2 0 1 1531 1836 2003 2368
+4794 4 2 0 1 1618 1730 2053 2367
+4795 4 2 0 1 1684 1928 1773 2675
+4796 4 2 0 1 1967 2286 1965 2391
+4797 4 2 0 1 812 1936 759 2099
+4798 4 2 0 1 1555 1906 2174 2787
+4799 4 2 0 1 647 1934 2192 2786
+4800 4 2 0 1 1916 2150 1950 2682
+4801 4 2 0 1 1963 2142 1762 2167
+4802 4 2 0 1 1653 1949 1799 2587
+4803 4 2 0 1 1713 2532 1765 2702
+4804 4 2 0 1 1760 2012 1572 2174
+4805 4 2 0 1 1692 2037 1892 2487
+4806 4 2 0 1 1118 192 286 1904
+4807 4 2 0 1 1956 2496 1766 2759
+4808 4 2 0 1 349 1979 223 2349
+4809 4 2 0 1 1703 2487 2439 2731
+4810 4 2 0 1 319 2353 1939 2571
+4811 4 2 0 1 213 2020 1897 2297
+4812 4 2 0 1 1732 2123 1591 2219
+4813 4 2 0 1 1198 580 576 1995
+4814 4 2 0 1 1713 1765 2267 2702
+4815 4 2 0 1 1602 1767 2164 2437
+4816 4 2 0 1 462 1736 329 2020
+4817 4 2 0 1 2022 1623 2289 2609
+4818 4 2 0 1 1088 1055 1975 2119
+4819 4 2 0 1 1527 2296 2032 2311
+4820 4 2 0 1 1599 2048 2152 2160
+4821 4 2 0 1 1598 1836 1734 2193
+4822 4 2 0 1 671 566 1735 2197
+4823 4 2 0 1 535 2197 1984 2419
+4824 4 2 0 1 998 1946 516 2477
+4825 4 2 0 1 323 1979 2559 2601
+4826 4 2 0 1 1529 2015 1698 2540
+4827 4 2 0 1 1641 1892 1867 2304
+4828 4 2 0 1 1728 2226 2627 2800
+4829 4 2 0 1 1690 1993 1977 2445
+4830 4 2 0 1 1882 2098 1989 2147
+4831 4 2 0 1 1611 1970 1802 2504
+4832 4 2 0 1 1994 2056 1083 2785
+4833 4 2 0 1 1902 1983 1569 2237
+4834 4 2 0 1 1687 1894 1600 2514
+4835 4 2 0 1 1642 2174 1906 2787
+4836 4 2 0 1 2011 2454 2306 2572
+4837 4 2 0 1 1809 2196 1567 2661
+4838 4 2 0 1 2195 2356 1887 2600
+4839 4 2 0 1 1987 1988 1844 2388
+4840 4 2 0 1 1152 1106 1960 2060
+4841 4 2 0 1 1550 2085 1941 2418
+4842 4 2 0 1 1818 2396 2340 2599
+4843 4 2 0 1 1600 2292 1754 2492
+4844 4 2 0 1 1645 2151 1876 2509
+4845 4 2 0 1 1861 2185 1736 2698
+4846 4 2 0 1 629 565 1995 2497
+4847 4 2 0 1 1768 2085 1941 2293
+4848 4 2 0 1 1654 2057 1944 2383
+4849 4 2 0 1 825 1752 2316 2451
+4850 4 2 0 1 1669 1844 2078 2664
+4851 4 2 0 1 1774 1834 1679 2011
+4852 4 2 0 1 1083 1994 1127 2056
+4853 4 2 0 1 1737 1895 1591 2489
+4854 4 2 0 1 1540 1874 1702 2630
+4855 4 2 0 1 1902 1918 1569 1983
+4856 4 2 0 1 1962 2460 1784 2623
+4857 4 2 0 1 1688 1021 2274 2346
+4858 4 2 0 1 1571 1743 2136 2347
+4859 4 2 0 1 1695 2002 1835 2449
+4860 4 2 0 1 1820 1798 2387 2760
+4861 4 2 0 1 1676 1983 2237 2590
+4862 4 2 0 1 1783 1921 1574 2526
+4863 4 2 0 1 1722 1657 2113 2517
+4864 4 2 0 1 1988 2015 1625 2806
+4865 4 2 0 1 1125 2119 1763 2255
+4866 4 2 0 1 134 569 663 1815
+4867 4 2 0 1 1557 2357 1910 2764
+4868 4 2 0 1 1808 2177 1554 2392
+4869 4 2 0 1 519 2062 1720 2355
+4870 4 2 0 1 1438 2289 1719 2767
+4871 4 2 0 1 1587 2075 1775 2191
+4872 4 2 0 1 1653 1868 2122 2314
+4873 4 2 0 1 753 2267 2288 2585
+4874 4 2 0 1 1676 1983 1902 2237
+4875 4 2 0 1 1825 1934 1604 2459
+4876 4 2 0 1 1400 1758 1344 2469
+4877 4 2 0 1 1995 2131 1627 2497
+4878 4 2 0 1 1622 2375 2087 2666
+4879 4 2 0 1 352 1789 357 2269
+4880 4 2 0 1 1092 2488 1101 2491
+4881 4 2 0 1 1580 2055 2051 2361
+4882 4 2 0 1 717 1757 2186 2307
+4883 4 2 0 1 1549 1763 2273 2544
+4884 4 2 0 1 1356 1179 1772 2007
+4885 4 2 0 1 1861 2090 2038 2662
+4886 4 2 0 1 1720 1989 1552 2779
+4887 4 2 0 1 1815 2344 2236 2745
+4888 4 2 0 1 1333 2012 1857 2284
+4889 4 2 0 1 1460 1937 1477 2724
+4890 4 2 0 1 1571 2432 1743 2659
+4891 4 2 0 1 2038 2311 1684 2482
+4892 4 2 0 1 1603 2172 1754 2189
+4893 4 2 0 1 218 381 431 2207
+4894 4 2 0 1 1565 1749 2008 2322
+4895 4 2 0 1 1541 2065 1759 2476
+4896 4 2 0 1 1595 2116 1874 2524
+4897 4 2 0 1 1703 2385 1839 2616
+4898 4 2 0 1 1634 1801 2190 2242
+4899 4 2 0 1 1622 1923 1760 1924
+4900 4 2 0 1 1553 1689 1956 2220
+4901 4 2 0 1 226 2576 1687 2679
+4902 4 2 0 1 1812 2465 2121 2510
+4903 4 2 0 1 1633 2318 2243 2739
+4904 4 2 0 1 1666 1878 1836 2356
+4905 4 2 0 1 1371 1373 1760 2263
+4906 4 2 0 1 2267 2288 1713 2532
+4907 4 2 0 1 852 1771 840 2186
+4908 4 2 0 1 1770 1670 2286 2391
+4909 4 2 0 1 1713 2028 1581 2432
+4910 4 2 0 1 1541 1683 2011 2306
+4911 4 2 0 1 1529 2300 1945 2774
+4912 4 2 0 1 401 334 1829 2268
+4913 4 2 0 1 1704 2452 1874 2630
+4914 4 2 0 1 1635 1980 1966 2113
+4915 4 2 0 1 526 521 885 1961
+4916 4 2 0 1 634 1841 2321 2766
+4917 4 2 0 1 1574 1750 2050 2538
+4918 4 2 0 1 1792 2404 1690 2445
+4919 4 2 0 1 1777 2143 1804 2257
+4920 4 2 0 1 1887 2195 1609 2356
+4921 4 2 0 1 2284 2324 1679 2453
+4922 4 2 0 1 184 2297 1897 2330
+4923 4 2 0 1 1755 2420 1971 2781
+4924 4 2 0 1 1809 1948 1567 2433
+4925 4 2 0 1 1582 1977 1877 2149
+4926 4 2 0 1 1373 1760 2012 2441
+4927 4 2 0 1 1957 1993 1582 2316
+4928 4 2 0 1 1241 1908 2263 2358
+4929 4 2 0 1 1917 1996 1649 2762
+4930 4 2 0 1 1670 1967 1965 2752
+4931 4 2 0 1 1565 1885 1780 2322
+4932 4 2 0 1 1257 1200 651 2053
+4933 4 2 0 1 1630 2459 2210 2753
+4934 4 2 0 1 1803 1817 2233 2553
+4935 4 2 0 1 1830 2024 1782 2308
+4936 4 2 0 1 863 907 906 1484
+4937 4 2 0 1 1563 2098 1838 2391
+4938 4 2 0 1 473 2225 2092 2516
+4939 4 2 0 1 1598 1734 2252 2678
+4940 4 2 0 1 1545 2052 1802 2376
+4941 4 2 0 1 1361 2012 1411 2711
+4942 4 2 0 1 1812 2708 2510 2794
+4943 4 2 0 1 1177 1922 1780 2016
+4944 4 2 0 1 1577 1925 2058 2312
+4945 4 2 0 1 1861 2071 2038 2698
+4946 4 2 0 1 644 2400 590 2610
+4947 4 2 0 1 2125 2248 1817 2553
+4948 4 2 0 1 1329 2324 2284 2453
+4949 4 2 0 1 1852 1635 1962 2583
+4950 4 2 0 1 1010 1721 2070 2734
+4951 4 2 0 1 1547 1836 1878 2356
+4952 4 2 0 1 1595 2116 1739 2798
+4953 4 2 0 1 1798 2007 1820 2763
+4954 4 2 0 1 1613 1980 1852 2373
+4955 4 2 0 1 1572 2174 1854 2183
+4956 4 2 0 1 1668 2472 1831 2481
+4957 4 2 0 1 1871 2164 1739 2437
+4958 4 2 0 1 773 720 1849 1993
+4959 4 2 0 1 1888 1625 2015 2806
+4960 4 2 0 1 1634 1802 2052 2376
+4961 4 2 0 1 1886 2291 1616 2755
+4962 4 2 0 1 797 758 800 2288
+4963 4 2 0 1 1751 1898 2224 2428
+4964 4 2 0 1 313 1732 2123 2353
+4965 4 2 0 1 1868 2314 1653 2321
+4966 4 2 0 1 1851 2431 1862 2490
+4967 4 2 0 1 1664 1754 2221 2259
+4968 4 2 0 1 1640 2108 1959 2828
+4969 4 2 0 1 1608 1998 1892 2118
+4970 4 2 0 1 1543 2075 2336 2535
+4971 4 2 0 1 190 2124 254 2456
+4972 4 2 0 1 1936 2379 2041 2736
+4973 4 2 0 1 1533 1920 1753 2080
+4974 4 2 0 1 464 1849 720 1993
+4975 4 2 0 1 1552 1697 1903 2779
+4976 4 2 0 1 1754 1664 2172 2259
+4977 4 2 0 1 1632 2178 1661 2223
+4978 4 2 0 1 1552 1903 1697 2593
+4979 4 2 0 1 1648 1776 2079 2577
+4980 4 2 0 1 1140 163 162 2035
+4981 4 2 0 1 1600 1694 1895 2366
+4982 4 2 0 1 1430 1344 1185 1758
+4983 4 2 0 1 1530 1743 2213 2598
+4984 4 2 0 1 1614 1910 1827 2172
+4985 4 2 0 1 896 1929 2259 2561
+4986 4 2 0 1 1226 1296 1334 2001
+4987 4 2 0 1 1009 1751 983 2279
+4988 4 2 0 1 1529 1691 2240 2300
+4989 4 2 0 1 1003 922 1790 2542
+4990 4 2 0 1 1690 1582 1993 2316
+4991 4 2 0 1 680 1207 643 1937
+4992 4 2 0 1 1975 2491 1120 2733
+4993 4 2 0 1 1661 2563 1994 2582
+4994 4 2 0 1 921 1751 989 2562
+4995 4 2 0 1 1671 2116 2032 2678
+4996 4 2 0 1 1726 2093 1786 2212
+4997 4 2 0 1 1692 2487 1892 2665
+4998 4 2 0 1 2109 2115 1610 2331
+4999 4 2 0 1 1616 2022 1820 2291
+5000 4 2 0 1 1694 1600 1895 2832
+5001 4 2 0 1 305 307 2571 2691
+5002 4 2 0 1 1177 1780 1922 2512
+5003 4 2 0 1 1642 1906 2174 2263
+5004 4 2 0 1 450 278 226 2576
+5005 4 2 0 1 863 1484 906 2184
+5006 4 2 0 1 1565 2136 1858 2265
+5007 4 2 0 1 1829 2268 1947 2464
+5008 4 2 0 1 323 337 1979 2601
+5009 4 2 0 1 1754 2189 2172 2292
+5010 4 2 0 1 1610 1771 2186 2784
+5011 4 2 0 1 1690 1582 1977 1993
+5012 4 2 0 1 1645 1887 1876 2181
+5013 4 2 0 1 1994 2563 1292 2582
+5014 4 2 0 1 1402 904 995 2137
+5015 4 2 0 1 1894 2444 2023 2492
+5016 4 2 0 1 1400 2132 1758 2469
+5017 4 2 0 1 871 1931 994 2155
+5018 4 2 0 1 2034 2451 1890 2684
+5019 4 2 0 1 950 1889 881 2081
+5020 4 2 0 1 792 2135 1696 2670
+5021 4 2 0 1 1541 1791 2065 2476
+5022 4 2 0 1 1677 1990 2330 2694
+5023 4 2 0 1 1746 2108 1959 2719
+5024 4 2 0 1 1913 2170 1930 2713
+5025 4 2 0 1 1632 2056 1994 2785
+5026 4 2 0 1 771 1718 784 2714
+5027 4 2 0 1 2199 2201 1893 2455
+5028 4 2 0 1 1430 1828 1185 2104
+5029 4 2 0 1 213 2297 395 2438
+5030 4 2 0 1 1623 1840 2551 2629
+5031 4 2 0 1 1559 1716 1800 1952
+5032 4 2 0 1 2014 2079 1776 2577
+5033 4 2 0 1 1579 1728 1886 2479
+5034 4 2 0 1 814 1740 759 1936
+5035 4 2 0 1 1736 1861 2071 2438
+5036 4 2 0 1 1754 2172 1664 2221
+5037 4 2 0 1 1679 1834 1774 2737
+5038 4 2 0 1 1806 2293 2219 2680
+5039 4 2 0 1 1954 2104 1758 2206
+5040 4 2 0 1 1629 2068 2066 2106
+5041 4 2 0 1 1766 2069 593 2246
+5042 4 2 0 1 783 776 726 1757
+5043 4 2 0 1 1659 1985 1905 2727
+5044 4 2 0 1 1181 1994 1083 2785
+5045 4 2 0 1 1572 1760 1923 2441
+5046 4 2 0 1 1580 2203 1785 2634
+5047 4 2 0 1 949 1729 2073 2637
+5048 4 2 0 1 1759 1638 2310 2476
+5049 4 2 0 1 1563 2071 1861 2391
+5050 4 2 0 1 1564 1867 1917 2118
+5051 4 2 0 1 1589 2018 1731 2320
+5052 4 2 0 1 1279 1204 2081 2299
+5053 4 2 0 1 1758 2104 1828 2206
+5054 4 2 0 1 878 2241 2057 2279
+5055 4 2 0 1 1529 2015 1888 2216
+5056 4 2 0 1 1600 1847 1754 2292
+5057 4 2 0 1 1852 2429 1712 2566
+5058 4 2 0 1 2054 2225 1904 2626
+5059 4 2 0 1 1667 1931 1790 2771
+5060 4 2 0 1 1561 1689 2112 2654
+5061 4 2 0 1 1605 1720 1989 2575
+5062 4 2 0 1 1834 2011 1620 2396
+5063 4 2 0 1 1857 2012 1572 2284
+5064 4 2 0 1 1700 2256 662 2569
+5065 4 2 0 1 1614 1721 2274 2416
+5066 4 2 0 1 1872 2137 1624 2715
+5067 4 2 0 1 300 1778 2030 2776
+5068 4 2 0 1 1764 1554 2177 2392
+5069 4 2 0 1 1009 983 1751 2162
+5070 4 2 0 1 896 1929 992 2259
+5071 4 2 0 1 1549 2544 1901 2600
+5072 4 2 0 1 1852 2037 1556 2429
+5073 4 2 0 1 1729 1961 2073 2545
+5074 4 2 0 1 1119 1295 1466 1181
+5075 4 2 0 1 1530 1880 1958 2447
+5076 4 2 0 1 1546 1931 1761 2689
+5077 4 2 0 1 2069 2393 1758 2749
+5078 4 2 0 1 199 1699 316 2448
+5079 4 2 0 1 401 238 442 1829
+5080 4 2 0 1 1118 1146 1078 1904
+5081 4 2 0 1 1507 1525 157 2184
+5082 4 2 0 1 193 2209 1729 2477
+5083 4 2 0 1 1005 928 975 1748
+5084 4 2 0 1 1553 1956 1689 2782
+5085 4 2 0 1 747 707 2436 2501
+5086 4 2 0 1 1846 2025 1863 2202
+5087 4 2 0 1 1659 1905 1778 2397
+5088 4 2 0 1 1760 2263 1908 2358
+5089 4 2 0 1 1610 2186 2363 2784
+5090 4 2 0 1 1710 1587 2191 2594
+5091 4 2 0 1 1939 2353 1722 2571
+5092 4 2 0 1 2012 2263 1411 2711
+5093 4 2 0 1 573 1995 1912 2497
+5094 4 2 0 1 1847 2366 2101 2494
+5095 4 2 0 1 293 2448 1686 2516
+5096 4 2 0 1 1757 2109 783 2186
+5097 4 2 0 1 1578 1905 1985 2727
+5098 4 2 0 1 2015 2019 1888 2216
+5099 4 2 0 1 482 1927 1158 2049
+5100 4 2 0 1 909 526 885 2477
+5101 4 2 0 1 975 2382 2162 2421
+5102 4 2 0 1 1416 1708 1268 2289
+5103 4 2 0 1 1602 1861 2038 2698
+5104 4 2 0 1 167 452 258 2159
+5105 4 2 0 1 505 1849 464 1993
+5106 4 2 0 1 1352 1798 1449 1935
+5107 4 2 0 1 1751 2125 989 2562
+5108 4 2 0 1 1580 2034 2634 2718
+5109 4 2 0 1 1966 2121 1635 2465
+5110 4 2 0 1 1318 1192 1354 2077
+5111 4 2 0 1 1257 1360 1414 2104
+5112 4 2 0 1 1154 2170 1930 2565
+5113 4 2 0 1 227 358 430 1737
+5114 4 2 0 1 1697 1563 2038 2662
+5115 4 2 0 1 866 2081 1889 2233
+5116 4 2 0 1 1560 1824 1844 2257
+5117 4 2 0 1 1295 1181 1119 2056
+5118 4 2 0 1 1739 2031 1611 2527
+5119 4 2 0 1 1571 1743 2347 2659
+5120 4 2 0 1 1614 2182 2064 2274
+5121 4 2 0 1 1611 2031 1856 2271
+5122 4 2 0 1 230 239 2153 2567
+5123 4 2 0 1 1743 2136 1998 2354
+5124 4 2 0 1 412 387 1918 2641
+5125 4 2 0 1 519 1720 523 2157
+5126 4 2 0 1 1934 1604 2459 2753
+5127 4 2 0 1 1209 1678 1372 2302
+5128 4 2 0 1 1710 2095 1576 2232
+5129 4 2 0 1 495 503 998 516
+5130 4 2 0 1 1753 2080 1676 2590
+5131 4 2 0 1 1564 1801 2005 2699
+5132 4 2 0 1 1512 1764 1194 2835
+5133 4 2 0 1 629 2131 565 2497
+5134 4 2 0 1 566 1735 2197 2419
+5135 4 2 0 1 1900 2168 1970 2364
+5136 4 2 0 1 1713 2028 797 2585
+5137 4 2 0 1 729 1794 847 2425
+5138 4 2 0 1 1585 1778 2211 2653
+5139 4 2 0 1 352 321 1789 2130
+5140 4 2 0 1 1506 1516 2137 2278
+5141 4 2 0 1 1854 2183 1693 2598
+5142 4 2 0 1 1771 1839 1610 2385
+5143 4 2 0 1 2044 2325 1214 2512
+5144 4 2 0 1 1622 1860 1794 2375
+5145 4 2 0 1 840 2055 1826 2186
+5146 4 2 0 1 1572 1923 1788 2441
+5147 4 2 0 1 1794 1627 2235 2305
+5148 4 2 0 1 1648 2014 1776 2577
+5149 4 2 0 1 1547 2356 1742 2434
+5150 4 2 0 1 1554 2392 1839 2616
+5151 4 2 0 1 1790 1898 1751 2428
+5152 4 2 0 1 1876 1645 2039 2600
+5153 4 2 0 1 428 2472 242 2560
+5154 4 2 0 1 1546 1875 2483 2689
+5155 4 2 0 1 1741 2188 1837 2625
+5156 4 2 0 1 1621 1826 2034 2203
+5157 4 2 0 1 1584 1925 1848 2166
+5158 4 2 0 1 1842 2414 1975 2544
+5159 4 2 0 1 1703 2048 2160 2616
+5160 4 2 0 1 1822 2508 1881 2555
+5161 4 2 0 1 1537 1698 2019 2082
+5162 4 2 0 1 771 784 1718 2508
+5163 4 2 0 1 1641 1867 2547 2611
+5164 4 2 0 1 1873 2382 860 2421
+5165 4 2 0 1 1653 2169 2009 2587
+5166 4 2 0 1 134 1972 663 2410
+5167 4 2 0 1 1544 2182 1951 2335
+5168 4 2 0 1 1615 1898 2224 2636
+5169 4 2 0 1 1993 2316 1957 2403
+5170 4 2 0 1 1895 2123 354 2366
+5171 4 2 0 1 1663 1742 1968 2167
+5172 4 2 0 1 1537 2019 1698 2181
+5173 4 2 0 1 1598 1878 1836 2249
+5174 4 2 0 1 1486 1707 1256 2278
+5175 4 2 0 1 1896 2130 308 2269
+5176 4 2 0 1 1918 2097 389 2641
+5177 4 2 0 1 1595 2798 1739 2808
+5178 4 2 0 1 1471 1475 1944 2383
+5179 4 2 0 1 2005 2647 1564 2699
+5180 4 2 0 1 1875 2127 240 2612
+5181 4 2 0 1 1780 2370 1974 2835
+5182 4 2 0 1 1947 2268 343 2464
+5183 4 2 0 1 1858 1565 2265 2801
+5184 4 2 0 1 1546 2155 1931 2771
+5185 4 2 0 1 1542 1782 2024 2235
+5186 4 2 0 1 1486 1707 1189 2146
+5187 4 2 0 1 671 2197 1869 2390
+5188 4 2 0 1 1584 1773 2063 2549
+5189 4 2 0 1 1378 2289 1438 2767
+5190 4 2 0 1 1462 2133 1212 2420
+5191 4 2 0 1 295 1733 484 2446
+5192 4 2 0 1 852 840 1771 2055
+5193 4 2 0 1 1812 2510 1744 2794
+5194 4 2 0 1 792 2055 1696 2135
+5195 4 2 0 1 708 756 806 2171
+5196 4 2 0 1 1603 1847 1754 2561
+5197 4 2 0 1 1764 2177 1808 2392
+5198 4 2 0 1 418 1930 272 2713
+5199 4 2 0 1 565 2131 1995 2497
+5200 4 2 0 1 1843 2221 1615 2738
+5201 4 2 0 1 1574 2050 1783 2538
+5202 4 2 0 1 1743 1953 1581 2432
+5203 4 2 0 1 1966 2465 2176 2836
+5204 4 2 0 1 1324 2013 1706 2324
+5205 4 2 0 1 2143 2257 1777 2290
+5206 4 2 0 1 157 2135 723 2670
+5207 4 2 0 1 450 2576 226 2679
+5208 4 2 0 1 1713 1571 1942 2432
+5209 4 2 0 1 1587 2075 2126 2578
+5210 4 2 0 1 1732 2219 2293 2680
+5211 4 2 0 1 1550 2113 1768 2293
+5212 4 2 0 1 1571 1953 1713 2532
+5213 4 2 0 1 814 2028 1740 2045
+5214 4 2 0 1 1890 1942 803 2288
+5215 4 2 0 1 1635 2402 1941 2460
+5216 4 2 0 1 706 1769 1936 2099
+5217 4 2 0 1 985 955 979 2057
+5218 4 2 0 1 847 1794 729 2087
+5219 4 2 0 1 1616 1820 1708 2755
+5220 4 2 0 1 1833 2239 2150 2506
+5221 4 2 0 1 498 2262 2062 2355
+5222 4 2 0 1 1531 1770 2098 2604
+5223 4 2 0 1 2116 2230 2032 2678
+5224 4 2 0 1 1659 1733 2088 2446
+5225 4 2 0 1 1159 165 164 1797
+5226 4 2 0 1 1912 1995 1627 2497
+5227 4 2 0 1 1906 2008 1386 2711
+5228 4 2 0 1 1572 1923 1760 2174
+5229 4 2 0 1 2105 2320 1731 2534
+5230 4 2 0 1 1727 2013 1834 2654
+5231 4 2 0 1 1595 1739 2116 2808
+5232 4 2 0 1 1942 1991 752 2677
+5233 4 2 0 1 1768 2176 1966 2465
+5234 4 2 0 1 724 1794 847 2087
+5235 4 2 0 1 1585 1778 2030 2211
+5236 4 2 0 1 329 2020 1736 2399
+5237 4 2 0 1 1854 2174 1572 2515
+5238 4 2 0 1 1006 2155 1687 2542
+5239 4 2 0 1 1657 1722 1997 2691
+5240 4 2 0 1 1516 2146 1453 2301
+5241 4 2 0 1 1621 2203 2034 2634
+5242 4 2 0 1 1348 1872 2076 2383
+5243 4 2 0 1 1807 2019 2015 2082
+5244 4 2 0 1 1610 1839 1771 2784
+5245 4 2 0 1 1827 1614 2182 2218
+5246 4 2 0 1 602 1799 605 2009
+5247 4 2 0 1 1530 1759 1854 2183
+5248 4 2 0 1 1844 1988 1560 2290
+5249 4 2 0 1 1898 1812 2224 2428
+5250 4 2 0 1 1850 2080 2590 2614
+5251 4 2 0 1 1673 1945 1806 2312
+5252 4 2 0 1 1428 2131 2087 2484
+5253 4 2 0 1 1540 2059 2122 2827
+5254 4 2 0 1 1878 2047 1968 2167
+5255 4 2 0 1 1841 2344 612 2761
+5256 4 2 0 1 1782 1916 1604 2093
+5257 4 2 0 1 1871 2524 1701 2808
+5258 4 2 0 1 1533 1802 1920 2080
+5259 4 2 0 1 1428 2087 1924 2484
+5260 4 2 0 1 1582 1690 1977 2163
+5261 4 2 0 1 1801 1564 2005 2647
+5262 4 2 0 1 1747 1880 2597 2762
+5263 4 2 0 1 1314 1209 1372 2302
+5264 4 2 0 1 190 261 2124 2456
+5265 4 2 0 1 1856 2031 1739 2809
+5266 4 2 0 1 266 517 500 2626
+5267 4 2 0 1 1655 1950 2430 2727
+5268 4 2 0 1 462 1736 2020 2438
+5269 4 2 0 1 1586 1835 1900 1970
+5270 4 2 0 1 1638 1938 1922 2044
+5271 4 2 0 1 1838 2059 1704 2230
+5272 4 2 0 1 1056 1715 2488 2503
+5273 4 2 0 1 1225 1339 2076 2668
+5274 4 2 0 1 1686 2262 2062 2448
+5275 4 2 0 1 1630 1934 1825 2459
+5276 4 2 0 1 1725 1567 2207 2661
+5277 4 2 0 1 822 1183 1290 1210
+5278 4 2 0 1 1711 2075 1853 2126
+5279 4 2 0 1 367 389 2097 2641
+5280 4 2 0 1 1656 1795 2108 2578
+5281 4 2 0 1 2076 2254 1755 2383
+5282 4 2 0 1 1584 1756 2083 2549
+5283 4 2 0 1 1684 1882 1773 2098
+5284 4 2 0 1 835 748 1210 1933
+5285 4 2 0 1 1803 1944 1731 2558
+5286 4 2 0 1 1932 1962 1635 2583
+5287 4 2 0 1 1623 2022 2181 2629
+5288 4 2 0 1 1788 2284 1572 2441
+5289 4 2 0 1 1672 1755 1971 2208
+5290 4 2 0 1 1808 2033 2018 2667
+5291 4 2 0 1 1401 1399 1893 2770
+5292 4 2 0 1 1645 1756 2063 2549
+5293 4 2 0 1 165 1797 1159 2140
+5294 4 2 0 1 1533 1753 1980 2080
+5295 4 2 0 1 1437 1730 1280 2053
+5296 4 2 0 1 1600 1754 2251 2492
+5297 4 2 0 1 1009 2162 2562 2695
+5298 4 2 0 1 1846 1981 1715 2491
+5299 4 2 0 1 1445 1356 1179 1772
+5300 4 2 0 1 378 1847 2366 2683
+5301 4 2 0 1 594 1948 1845 2260
+5302 4 2 0 1 1584 2166 1888 2216
+5303 4 2 0 1 1739 2798 2398 2808
+5304 4 2 0 1 1823 1583 2225 2516
+5305 4 2 0 1 1574 2024 2276 2308
+5306 4 2 0 1 1533 2231 1852 2334
+5307 4 2 0 1 1335 2077 1762 2091
+5308 4 2 0 1 1753 1676 2080 2699
+5309 4 2 0 1 1746 1587 2138 2828
+5310 4 2 0 1 1529 1691 2015 2240
+5311 4 2 0 1 1822 1718 2502 2773
+5312 4 2 0 1 1981 1756 2063 2646
+5313 4 2 0 1 1741 2625 2226 2800
+5314 4 2 0 1 1900 2296 1682 2482
+5315 4 2 0 1 1827 2218 2182 2335
+5316 4 2 0 1 1574 2036 1706 2050
+5317 4 2 0 1 1590 1903 1835 2593
+5318 4 2 0 1 672 1845 681 2180
+5319 4 2 0 1 1013 1771 154 2165
+5320 4 2 0 1 1552 1697 2482 2593
+5321 4 2 0 1 1567 1948 1809 2400
+5322 4 2 0 1 1574 2050 2454 2746
+5323 4 2 0 1 1537 1698 2082 2181
+5324 4 2 0 1 1386 1906 1432 2008
+5325 4 2 0 1 1802 2334 2271 2504
+5326 4 2 0 1 1836 2003 1617 2595
+5327 4 2 0 1 1512 1194 1764 2822
+5328 4 2 0 1 1831 2472 1897 2560
+5329 4 2 0 1 1617 2003 1836 2368
+5330 4 2 0 1 1751 2428 2224 2636
+5331 4 2 0 1 368 214 382 2516
+5332 4 2 0 1 1793 2115 1724 2461
+5333 4 2 0 1 1820 2387 2021 2755
+5334 4 2 0 1 462 1861 1736 2438
+5335 4 2 0 1 1617 1715 1960 2003
+5336 4 2 0 1 1609 2195 1976 2356
+5337 4 2 0 1 1919 2650 1738 2836
+5338 4 2 0 1 1780 2037 1986 2783
+5339 4 2 0 1 1528 2650 1919 2836
+5340 4 2 0 1 1089 1122 1091 1746
+5341 4 2 0 1 1657 1722 2113 2568
+5342 4 2 0 1 379 1965 1915 2662
+5343 4 2 0 1 1255 2620 1189 2640
+5344 4 2 0 1 1959 2043 1710 2518
+5345 4 2 0 1 300 1778 182 2030
+5346 4 2 0 1 337 199 2448 2601
+5347 4 2 0 1 1889 2365 1724 2589
+5348 4 2 0 1 1847 1947 378 2464
+5349 4 2 0 1 293 2062 2262 2448
+5350 4 2 0 1 1587 2541 1864 2584
+5351 4 2 0 1 2224 2428 2096 2636
+5352 4 2 0 1 1587 2108 1746 2541
+5353 4 2 0 1 1628 2152 1889 2261
+5354 4 2 0 1 1565 1785 2265 2351
+5355 4 2 0 1 352 2130 1789 2269
+5356 4 2 0 1 1542 2093 1782 2235
+5357 4 2 0 1 1799 2009 602 2587
+5358 4 2 0 1 1816 2027 1778 2030
+5359 4 2 0 1 2196 2207 1567 2661
+5360 4 2 0 1 1815 1960 569 2350
+5361 4 2 0 1 1552 1697 1989 2482
+5362 4 2 0 1 614 541 1948 2530
+5363 4 2 0 1 823 2253 1776 2649
+5364 4 2 0 1 1624 2188 1837 2511
+5365 4 2 0 1 1562 1770 2193 2595
+5366 4 2 0 1 1777 2257 1804 2707
+5367 4 2 0 1 1575 1981 2039 2646
+5368 4 2 0 1 1830 2276 2024 2308
+5369 4 2 0 1 1583 1981 1846 2025
+5370 4 2 0 1 1967 1990 1596 2745
+5371 4 2 0 1 1540 2122 2630 2827
+5372 4 2 0 1 319 307 2353 2571
+5373 4 2 0 1 1837 2188 1624 2625
+5374 4 2 0 1 1646 2339 2264 2522
+5375 4 2 0 1 1577 1848 1720 2805
+5376 4 2 0 1 1041 2346 1688 2458
+5377 4 2 0 1 2173 2478 1723 2789
+5378 4 2 0 1 881 1781 899 1889
+5379 4 2 0 1 1683 2306 1541 2602
+5380 4 2 0 1 1890 1991 1571 2634
+5381 4 2 0 1 1863 2025 1846 2570
+5382 4 2 0 1 1799 2053 1730 2367
+5383 4 2 0 1 1144 1688 1021 2274
+5384 4 2 0 1 1832 2073 929 2280
+5385 4 2 0 1 354 2366 2123 2683
+5386 4 2 0 1 1632 1994 1661 2178
+5387 4 2 0 1 2063 2505 1981 2646
+5388 4 2 0 1 1449 1935 1798 2247
+5389 4 2 0 1 1588 1879 2200 2446
+5390 4 2 0 1 1595 2398 2798 2808
+5391 4 2 0 1 1009 921 1751 2279
+5392 4 2 0 1 2123 2156 1732 2795
+5393 4 2 0 1 1797 2140 165 2278
+5394 4 2 0 1 1676 2590 2080 2614
+5395 4 2 0 1 1227 1834 1336 2013
+5396 4 2 0 1 747 836 837 2106
+5397 4 2 0 1 1675 1791 2334 2701
+5398 4 2 0 1 1583 2516 1823 2622
+5399 4 2 0 1 1917 2597 1880 2762
+5400 4 2 0 1 1732 2293 1806 2680
+5401 4 2 0 1 766 776 2307 2403
+5402 4 2 0 1 2031 2168 1611 2527
+5403 4 2 0 1 1555 1936 2608 2659
+5404 4 2 0 1 759 1740 801 2677
+5405 4 2 0 1 1852 2037 1613 2373
+5406 4 2 0 1 1628 1889 1817 2261
+5407 4 2 0 1 1656 2187 1925 2216
+5408 4 2 0 1 1315 1944 2383 2531
+5409 4 2 0 1 1862 2431 1619 2490
+5410 4 2 0 1 1562 2193 2175 2595
+5411 4 2 0 1 1662 2161 2100 2377
+5412 4 2 0 1 1754 2251 1873 2259
+5413 4 2 0 1 1578 2443 1950 2682
+5414 4 2 0 1 1965 2391 1861 2438
+5415 4 2 0 1 2340 2396 1818 2820
+5416 4 2 0 1 1669 1938 2143 2257
+5417 4 2 0 1 765 710 1822 2555
+5418 4 2 0 1 138 2264 1735 2419
+5419 4 2 0 1 1635 1784 2460 2623
+5420 4 2 0 1 1802 1545 2271 2401
+5421 4 2 0 1 1583 2025 1846 2202
+5422 4 2 0 1 1529 1698 2216 2540
+5423 4 2 0 1 1486 1707 2278 2696
+5424 4 2 0 1 761 825 855 2316
+5425 4 2 0 1 352 357 2268 2269
+5426 4 2 0 1 1335 1341 1425 1762
+5427 4 2 0 1 313 317 315 2123
+5428 4 2 0 1 1401 1893 1399 2201
+5429 4 2 0 1 1563 1965 2147 2391
+5430 4 2 0 1 1686 2262 1823 2797
+5431 4 2 0 1 2266 2334 1791 2701
+5432 4 2 0 1 1810 2051 1580 2529
+5433 4 2 0 1 1575 2025 1981 2646
+5434 4 2 0 1 677 647 632 1934
+5435 4 2 0 1 1649 1996 1917 2597
+5436 4 2 0 1 1546 1898 2389 2444
+5437 4 2 0 1 1677 1990 1967 2745
+5438 4 2 0 1 1635 2113 1941 2623
+5439 4 2 0 1 1800 1952 1716 2826
+5440 4 2 0 1 1707 2346 1576 2474
+5441 4 2 0 1 1675 2266 1791 2701
+5442 4 2 0 1 1889 2152 1817 2261
+5443 4 2 0 1 758 1713 797 2585
+5444 4 2 0 1 1153 1870 1036 1994
+5445 4 2 0 1 1795 2006 1656 2108
+5446 4 2 0 1 1867 1892 1535 2304
+5447 4 2 0 1 1615 1790 1894 2444
+5448 4 2 0 1 608 621 2330 2761
+5449 4 2 0 1 1880 2118 1917 2547
+5450 4 2 0 1 1310 1788 2036 2475
+5451 4 2 0 1 1713 2267 1765 2585
+5452 4 2 0 1 210 1789 357 2601
+5453 4 2 0 1 1706 1954 1639 2579
+5454 4 2 0 1 1566 2125 1751 2428
+5455 4 2 0 1 2096 2224 1812 2428
+5456 4 2 0 1 803 1991 1890 2684
+5457 4 2 0 1 1747 1917 1880 2762
+5458 4 2 0 1 491 2298 292 2353
+5459 4 2 0 1 1635 2460 1962 2623
+5460 4 2 0 1 1531 2098 1882 2604
+5461 4 2 0 1 1761 2107 2280 2803
+5462 4 2 0 1 1753 2080 1920 2699
+5463 4 2 0 1 1880 2354 2118 2547
+5464 4 2 0 1 1694 2292 1600 2832
+5465 4 2 0 1 1772 2007 1179 2767
+5466 4 2 0 1 1671 2032 2651 2678
+5467 4 2 0 1 1558 1816 2017 2502
+5468 4 2 0 1 1779 1871 1588 2164
+5469 4 2 0 1 1698 2019 2015 2216
+5470 4 2 0 1 1862 2089 2149 2431
+5471 4 2 0 1 1354 1235 2342 2507
+5472 4 2 0 1 1671 2230 2116 2678
+5473 4 2 0 1 1127 1039 2056 2255
+5474 4 2 0 1 1757 2403 776 2628
+5475 4 2 0 1 1647 1843 1814 2673
+5476 4 2 0 1 1759 2065 1865 2471
+5477 4 2 0 1 1838 2059 1540 2071
+5478 4 2 0 1 1699 2448 199 2601
+5479 4 2 0 1 1937 1984 558 2408
+5480 4 2 0 1 791 1946 151 2628
+5481 4 2 0 1 1660 1745 2238 2733
+5482 4 2 0 1 1768 1919 1594 2176
+5483 4 2 0 1 1824 1893 1560 2550
+5484 4 2 0 1 1633 1992 1762 2148
+5485 4 2 0 1 1660 2544 2039 2600
+5486 4 2 0 1 239 2153 1977 2539
+5487 4 2 0 1 1571 1858 2136 2265
+5488 4 2 0 1 1402 995 1506 2137
+5489 4 2 0 1 1534 1754 2172 2292
+5490 4 2 0 1 1333 1322 2012 2284
+5491 4 2 0 1 1561 1818 2572 2599
+5492 4 2 0 1 1571 1713 1953 2432
+5493 4 2 0 1 1577 2029 1896 2624
+5494 4 2 0 1 1628 2261 1731 2534
+5495 4 2 0 1 206 1983 387 2669
+5496 4 2 0 1 1553 2206 2069 2496
+5497 4 2 0 1 1886 1691 2072 2240
+5498 4 2 0 1 1503 2557 1810 2615
+5499 4 2 0 1 193 1729 1961 2477
+5500 4 2 0 1 1788 1627 1924 2305
+5501 4 2 0 1 1575 1763 2039 2544
+5502 4 2 0 1 1771 828 2115 2186
+5503 4 2 0 1 580 1995 1198 2294
+5504 4 2 0 1 401 343 2268 2464
+5505 4 2 0 1 780 2436 707 2501
+5506 4 2 0 1 574 2345 554 2530
+5507 4 2 0 1 841 143 2120 2212
+5508 4 2 0 1 812 814 759 1936
+5509 4 2 0 1 768 805 1826 2034
+5510 4 2 0 1 1823 2262 1964 2797
+5511 4 2 0 1 1613 1852 1980 2566
+5512 4 2 0 1 1706 1639 2013 2579
+5513 4 2 0 1 1348 1298 1872 2383
+5514 4 2 0 1 1568 1727 2340 2396
+5515 4 2 0 1 1672 1589 2102 2302
+5516 4 2 0 1 1605 1720 2575 2797
+5517 4 2 0 1 308 2130 1896 2624
+5518 4 2 0 1 401 1829 442 1927
+5519 4 2 0 1 1582 1690 2163 2816
+5520 4 2 0 1 2100 2161 1648 2643
+5521 4 2 0 1 1728 2244 2240 2656
+5522 4 2 0 1 1870 1994 1632 2255
+5523 4 2 0 1 1926 2320 1712 2429
+5524 4 2 0 1 1639 1954 1706 2220
+5525 4 2 0 1 2076 2383 1755 2668
+5526 4 2 0 1 1575 2039 1763 2509
+5527 4 2 0 1 1715 1981 1846 2789
+5528 4 2 0 1 1863 2202 1658 2564
+5529 4 2 0 1 787 2055 731 2135
+5530 4 2 0 1 1625 1888 2015 2019
+5531 4 2 0 1 1662 2093 1786 2443
+5532 4 2 0 1 1290 1810 822 2722
+5533 4 2 0 1 1711 2191 1587 2710
+5534 4 2 0 1 1713 1765 2074 2585
+5535 4 2 0 1 1751 2096 2428 2636
+5536 4 2 0 1 1566 1944 1803 2558
+5537 4 2 0 1 1165 1842 1120 2733
+5538 4 2 0 1 1833 1958 2239 2506
+5539 4 2 0 1 1649 2027 1816 2030
+5540 4 2 0 1 747 2436 2106 2501
+5541 4 2 0 1 1687 1600 2023 2317
+5542 4 2 0 1 1817 2152 1889 2365
+5543 4 2 0 1 1592 2122 1868 2314
+5544 4 2 0 1 1634 2084 2052 2190
+5545 4 2 0 1 1602 1767 2437 2807
+5546 4 2 0 1 1733 1659 2088 2653
+5547 4 2 0 1 1257 651 1289 1828
+5548 4 2 0 1 1721 2140 1797 2625
+5549 4 2 0 1 1545 2031 1802 2271
+5550 4 2 0 1 1546 2444 2155 2771
+5551 4 2 0 1 289 2157 523 2222
+5552 4 2 0 1 1535 1892 1867 2110
+5553 4 2 0 1 2164 2437 1767 2807
+5554 4 2 0 1 1699 2559 1979 2601
+5555 4 2 0 1 1628 1781 1889 2592
+5556 4 2 0 1 1600 2292 1694 2366
+5557 4 2 0 1 1583 2092 1904 2225
+5558 4 2 0 1 1281 2056 1787 2586
+5559 4 2 0 1 1869 2250 1735 2434
+5560 4 2 0 1 1941 2113 1768 2623
+5561 4 2 0 1 1613 2111 2429 2566
+5562 4 2 0 1 602 2009 605 2587
+5563 4 2 0 1 1887 2600 1876 2617
+5564 4 2 0 1 1740 1936 2045 2659
+5565 4 2 0 1 226 2127 278 2327
+5566 4 2 0 1 1926 2102 1712 2320
+5567 4 2 0 1 1775 2170 1930 2535
+5568 4 2 0 1 316 1699 199 2601
+5569 4 2 0 1 1707 2140 2619 2625
+5570 4 2 0 1 1804 2199 1620 2245
+5571 4 2 0 1 1538 1943 1784 2402
+5572 4 2 0 1 1704 2122 2452 2630
+5573 4 2 0 1 1702 1891 2067 2580
+5574 4 2 0 1 1580 2634 1785 2718
+5575 4 2 0 1 1712 2320 2102 2794
+5576 4 2 0 1 1850 1676 2080 2614
+5577 4 2 0 1 1822 2436 1718 2508
+5578 4 2 0 1 466 444 520 1800
+5579 4 2 0 1 1965 1967 1644 2438
+5580 4 2 0 1 1552 1900 2369 2593
+5581 4 2 0 1 1886 1691 2240 2540
+5582 4 2 0 1 1624 1872 1748 2254
+5583 4 2 0 1 915 1803 2462 2775
+5584 4 2 0 1 720 1849 464 2692
+5585 4 2 0 1 1528 2048 2486 2836
+5586 4 2 0 1 1767 2333 2159 2407
+5587 4 2 0 1 514 1831 497 2359
+5588 4 2 0 1 1706 2050 2036 2746
+5589 4 2 0 1 1574 2036 2050 2746
+5590 4 2 0 1 1891 2546 2154 2706
+5591 4 2 0 1 1599 2486 2248 2778
+5592 4 2 0 1 213 1897 437 2297
+5593 4 2 0 1 2164 2437 1871 2698
+5594 4 2 0 1 1665 2149 1977 2163
+5595 4 2 0 1 1556 2037 1852 2231
+5596 4 2 0 1 854 2161 714 2649
+5597 4 2 0 1 401 1829 1927 2464
+5598 4 2 0 1 1588 1891 1813 2067
+5599 4 2 0 1 758 753 2288 2585
+5600 4 2 0 1 1579 1971 1943 2411
+5601 4 2 0 1 808 2253 1822 2378
+5602 4 2 0 1 431 2207 1725 2359
+5603 4 2 0 1 1547 1901 1745 2238
+5604 4 2 0 1 1594 1919 1768 2607
+5605 4 2 0 1 1739 2168 2031 2527
+5606 4 2 0 1 1836 1878 1734 2790
+5607 4 2 0 1 1342 1337 1177 2016
+5608 4 2 0 1 1736 2020 2438 2756
+5609 4 2 0 1 2210 2459 1604 2753
+5610 4 2 0 1 1649 2030 1816 2525
+5611 4 2 0 1 983 1751 2162 2279
+5612 4 2 0 1 2115 2331 2109 2523
+5613 4 2 0 1 778 1933 851 2596
+5614 4 2 0 1 1533 2334 1852 2373
+5615 4 2 0 1 1359 1231 2132 2467
+5616 4 2 0 1 1786 2345 618 2687
+5617 4 2 0 1 1593 1832 1999 2061
+5618 4 2 0 1 138 2179 1735 2264
+5619 4 2 0 1 1917 2597 1996 2671
+5620 4 2 0 1 685 652 1869 2777
+5621 4 2 0 1 1969 2038 1602 2090
+5622 4 2 0 1 1945 2227 1728 2656
+5623 4 2 0 1 1576 1914 1707 2474
+5624 4 2 0 1 213 437 395 2297
+5625 4 2 0 1 1881 2161 2377 2643
+5626 4 2 0 1 1807 1988 1987 2015
+5627 4 2 0 1 1600 2317 2101 2366
+5628 4 2 0 1 634 529 1841 2169
+5629 4 2 0 1 1659 2088 1982 2446
+5630 4 2 0 1 1846 2488 1715 2789
+5631 4 2 0 1 1779 2088 1833 2809
+5632 4 2 0 1 1710 2191 2138 2594
+5633 4 2 0 1 1572 1857 2284 2712
+5634 4 2 0 1 1838 2098 1770 2391
+5635 4 2 0 1 557 534 581 2330
+5636 4 2 0 1 792 1696 2055 2670
+5637 4 2 0 1 2082 2022 2291 2609
+5638 4 2 0 1 1660 1901 1842 2544
+5639 4 2 0 1 1657 1997 1722 2568
+5640 4 2 0 1 1118 1904 1078 2564
+5641 4 2 0 1 784 1718 2508 2714
+5642 4 2 0 1 2061 2280 1832 2588
+5643 4 2 0 1 1685 1991 2265 2596
+5644 4 2 0 1 1871 2343 2067 2524
+5645 4 2 0 1 1754 2251 941 2495
+5646 4 2 0 1 1907 1944 1654 2057
+5647 4 2 0 1 516 2209 1946 2338
+5648 4 2 0 1 176 2268 339 2269
+5649 4 2 0 1 1670 1770 2147 2391
+5650 4 2 0 1 881 1889 937 2081
+5651 4 2 0 1 1838 2032 1701 2230
+5652 4 2 0 1 1713 1581 2074 2432
+5653 4 2 0 1 1967 2297 1644 2438
+5654 4 2 0 1 1336 1192 1727 2337
+5655 4 2 0 1 1627 1794 1924 2305
+5656 4 2 0 1 759 801 798 2677
+5657 4 2 0 1 349 1930 1979 2349
+5658 4 2 0 1 1549 2273 2414 2544
+5659 4 2 0 1 1579 1943 1886 2072
+5660 4 2 0 1 1625 1900 2103 2296
+5661 4 2 0 1 1794 1726 2235 2497
+5662 4 2 0 1 762 1890 2451 2684
+5663 4 2 0 1 1594 1875 1737 2468
+5664 4 2 0 1 1685 2634 2034 2718
+5665 4 2 0 1 1846 1981 1583 2789
+5666 4 2 0 1 138 671 566 1735
+5667 4 2 0 1 779 768 805 1826
+5668 4 2 0 1 1740 2608 1936 2659
+5669 4 2 0 1 1358 2076 1357 2301
+5670 4 2 0 1 2018 1731 2320 2534
+5671 4 2 0 1 682 2283 1726 2497
+5672 4 2 0 1 184 428 481 1897
+5673 4 2 0 1 1553 1689 2220 2782
+5674 4 2 0 1 1546 1931 2689 2771
+5675 4 2 0 1 1539 2114 1853 2710
+5676 4 2 0 1 1743 1998 2136 2729
+5677 4 2 0 1 1733 1585 2052 2190
+5678 4 2 0 1 1883 1576 1959 2810
+5679 4 2 0 1 782 2120 1881 2161
+5680 4 2 0 1 1835 2369 1900 2593
+5681 4 2 0 1 1720 1605 1989 2355
+5682 4 2 0 1 1634 1920 2080 2699
+5683 4 2 0 1 947 914 2107 2280
+5684 4 2 0 1 1752 2288 2267 2532
+5685 4 2 0 1 1666 1836 1878 2249
+5686 4 2 0 1 2158 2224 1548 2636
+5687 4 2 0 1 1850 2590 1983 2614
+5688 4 2 0 1 1537 2019 1807 2082
+5689 4 2 0 1 1936 1769 2379 2736
+5690 4 2 0 1 1749 2008 1444 2205
+5691 4 2 0 1 1584 2083 1925 2216
+5692 4 2 0 1 1922 1938 1651 2044
+5693 4 2 0 1 1850 2005 1676 2614
+5694 4 2 0 1 1780 2370 2037 2783
+5695 4 2 0 1 967 2057 876 2279
+5696 4 2 0 1 1056 1715 1101 2488
+5697 4 2 0 1 804 2267 1752 2288
+5698 4 2 0 1 1540 1871 2067 2524
+5699 4 2 0 1 1324 2324 1706 2655
+5700 4 2 0 1 1009 983 921 2279
+5701 4 2 0 1 2195 2273 1840 2586
+5702 4 2 0 1 1503 1494 2051 2722
+5703 4 2 0 1 1777 2168 1611 2796
+5704 4 2 0 1 1566 1907 1751 2125
+5705 4 2 0 1 1285 1206 2056 2586
+5706 4 2 0 1 367 2097 414 2641
+5707 4 2 0 1 1531 1981 1756 2063
+5708 4 2 0 1 299 2005 1859 2647
+5709 4 2 0 1 1753 2237 2352 2431
+5710 4 2 0 1 1689 1874 2452 2652
+5711 4 2 0 1 1713 2267 2532 2702
+5712 4 2 0 1 1231 2194 2132 2467
+5713 4 2 0 1 1862 2439 2431 2731
+5714 4 2 0 1 1736 2067 1871 2632
+5715 4 2 0 1 1233 1199 1742 2091
+5716 4 2 0 1 1512 2822 1764 2835
+5717 4 2 0 1 1793 2073 1729 2637
+5718 4 2 0 1 1547 1878 1836 2790
+5719 4 2 0 1 1768 1941 1635 2113
+5720 4 2 0 1 852 828 154 1771
+5721 4 2 0 1 1789 2268 1829 2556
+5722 4 2 0 1 1569 2176 1716 2423
+5723 4 2 0 1 672 531 681 1845
+5724 4 2 0 1 1747 2597 1649 2762
+5725 4 2 0 1 1570 1807 1987 2015
+5726 4 2 0 1 1706 2013 1639 2220
+5727 4 2 0 1 875 2280 2107 2803
+5728 4 2 0 1 1600 1847 2292 2366
+5729 4 2 0 1 1734 2047 1878 2252
+5730 4 2 0 1 1159 1797 164 2140
+5731 4 2 0 1 901 2070 957 2137
+5732 4 2 0 1 2043 2095 1710 2518
+5733 4 2 0 1 2176 2465 1919 2836
+5734 4 2 0 1 151 1946 2523 2628
+5735 4 2 0 1 1557 1746 2108 2541
+5736 4 2 0 1 1603 1947 1847 2464
+5737 4 2 0 1 797 2028 802 2585
+5738 4 2 0 1 1753 2237 2431 2633
+5739 4 2 0 1 1820 2387 2755 2760
+5740 4 2 0 1 1042 1092 1029 2488
+5741 4 2 0 1 1687 2155 2127 2444
+5742 4 2 0 1 2077 2091 1355 2507
+5743 4 2 0 1 791 150 151 1946
+5744 4 2 0 1 1225 2076 1309 2668
+5745 4 2 0 1 1588 2200 1982 2446
+5746 4 2 0 1 1669 2231 1852 2583
+5747 4 2 0 1 1772 1179 2275 2767
+5748 4 2 0 1 244 502 996 2049
+5749 4 2 0 1 778 2596 815 2684
+5750 4 2 0 1 385 167 258 2159
+5751 4 2 0 1 1755 2076 1309 2740
+5752 4 2 0 1 1861 2038 1563 2662
+5753 4 2 0 1 190 2124 261 2533
+5754 4 2 0 1 1964 2262 1605 2797
+5755 4 2 0 1 1760 1234 2263 2358
+5756 4 2 0 1 339 2268 2156 2269
+5757 4 2 0 1 991 2461 2115 2523
+5758 4 2 0 1 1657 1850 2080 2590
+5759 4 2 0 1 1946 2477 892 2637
+5760 4 2 0 1 1582 1877 1849 2426
+5761 4 2 0 1 1930 2170 1035 2713
+5762 4 2 0 1 1779 1833 2688 2809
+5763 4 2 0 1 1656 2006 1925 2187
+5764 4 2 0 1 1867 2110 1892 2829
+5765 4 2 0 1 1833 2088 1545 2809
+5766 4 2 0 1 1565 2322 1780 2783
+5767 4 2 0 1 814 1740 1936 2045
+5768 4 2 0 1 1639 2220 2013 2654
+5769 4 2 0 1 1587 2126 1711 2710
+5770 4 2 0 1 1584 1925 2166 2216
+5771 4 2 0 1 618 2345 1786 2536
+5772 4 2 0 1 1683 1804 2295 2602
+5773 4 2 0 1 991 897 2461 2523
+5774 4 2 0 1 1056 1960 1715 2503
+5775 4 2 0 1 1564 2597 1917 2671
+5776 4 2 0 1 1756 1981 1964 2025
+5777 4 2 0 1 1568 2396 2340 2820
+5778 4 2 0 1 540 2281 2294 2393
+5779 4 2 0 1 1659 1982 2088 2430
+5780 4 2 0 1 1388 1731 2018 2374
+5781 4 2 0 1 1576 2095 2229 2232
+5782 4 2 0 1 1816 2502 2106 2635
+5783 4 2 0 1 1670 2147 1770 2604
+5784 4 2 0 1 1670 1770 2286 2604
+5785 4 2 0 1 1890 1942 1571 1991
+5786 4 2 0 1 2195 2273 2586 2716
+5787 4 2 0 1 1782 2024 1830 2693
+5788 4 2 0 1 1438 1719 1240 2767
+5789 4 2 0 1 1623 2022 1876 2181
+5790 4 2 0 1 1583 1964 1981 2025
+5791 4 2 0 1 1696 2184 2135 2822
+5792 4 2 0 1 1589 2102 2320 2794
+5793 4 2 0 1 994 2155 1761 2803
+5794 4 2 0 1 1690 1765 2144 2404
+5795 4 2 0 1 1604 1916 1782 2210
+5796 4 2 0 1 795 1765 709 2267
+5797 4 2 0 1 1143 1088 1763 2119
+5798 4 2 0 1 1868 1653 2122 2473
+5799 4 2 0 1 1571 1953 1743 2432
+5800 4 2 0 1 1724 2365 2129 2589
+5801 4 2 0 1 560 1841 2169 2236
+5802 4 2 0 1 1736 1540 2071 2698
+5803 4 2 0 1 1657 1983 1850 2590
+5804 4 2 0 1 1611 1970 2168 2364
+5805 4 2 0 1 1537 2019 2181 2549
+5806 4 2 0 1 1788 1923 2024 2305
+5807 4 2 0 1 1605 1964 1823 2262
+5808 4 2 0 1 1586 1962 1784 2309
+5809 4 2 0 1 1843 1647 2224 2389
+5810 4 2 0 1 1565 2265 1749 2351
+5811 4 2 0 1 1586 1900 1835 2369
+5812 4 2 0 1 1770 2391 2286 2823
+5813 4 2 0 1 866 937 2081 2233
+5814 4 2 0 1 1233 2091 1742 2507
+5815 4 2 0 1 1533 1753 2334 2373
+5816 4 2 0 1 2224 2636 2158 2738
+5817 4 2 0 1 473 170 2092 2225
+5818 4 2 0 1 760 802 1855 2585
+5819 4 2 0 1 1592 2314 1868 2321
+5820 4 2 0 1 1728 1601 2240 2479
+5821 4 2 0 1 677 1825 647 2281
+5822 4 2 0 1 316 2062 1699 2130
+5823 4 2 0 1 1564 1917 2611 2671
+5824 4 2 0 1 1218 1349 1922 2044
+5825 4 2 0 1 1770 2098 1598 2249
+5826 4 2 0 1 1765 2074 1855 2501
+5827 4 2 0 1 1566 1907 1803 1944
+5828 4 2 0 1 1578 1985 2443 2682
+5829 4 2 0 1 1539 2022 1876 2223
+5830 4 2 0 1 1587 2548 2108 2578
+5831 4 2 0 1 1715 2060 1660 2368
+5832 4 2 0 1 1615 1843 2224 2389
+5833 4 2 0 1 1763 2414 2273 2544
+5834 4 2 0 1 1543 2083 1848 2792
+5835 4 2 0 1 783 1757 726 2109
+5836 4 2 0 1 1725 2207 1567 2481
+5837 4 2 0 1 1629 2074 1765 2501
+5838 4 2 0 1 1554 1839 2385 2616
+5839 4 2 0 1 1976 2356 2195 2434
+5840 4 2 0 1 1563 1965 1915 2147
+5841 4 2 0 1 872 967 876 2279
+5842 4 2 0 1 1305 1926 1372 2016
+5843 4 2 0 1 1748 1624 2254 2511
+5844 4 2 0 1 1634 2080 1920 2528
+5845 4 2 0 1 1599 1832 2248 2486
+5846 4 2 0 1 1937 2053 1799 2367
+5847 4 2 0 1 1670 1596 2173 2478
+5848 4 2 0 1 681 1766 661 2246
+5849 4 2 0 1 1192 2077 1727 2337
+5850 4 2 0 1 1860 2161 854 2649
+5851 4 2 0 1 2393 2663 1825 2749
+5852 4 2 0 1 1930 2170 1775 2565
+5853 4 2 0 1 682 1726 145 2425
+5854 4 2 0 1 1697 2038 1969 2090
+5855 4 2 0 1 1775 2535 1930 2565
+5856 4 2 0 1 1849 1993 505 2567
+5857 4 2 0 1 1091 2406 1746 2543
+5858 4 2 0 1 1335 1412 2091 2721
+5859 4 2 0 1 1576 1883 1710 2232
+5860 4 2 0 1 498 2062 519 2355
+5861 4 2 0 1 1987 1988 1691 2015
+5862 4 2 0 1 1589 2510 2708 2794
+5863 4 2 0 1 1584 1882 1773 2675
+5864 4 2 0 1 538 605 1799 2009
+5865 4 2 0 1 1783 2210 2526 2538
+5866 4 2 0 1 1818 1683 2572 2599
+5867 4 2 0 1 1369 1364 1437 2342
+5868 4 2 0 1 1762 2077 1568 2167
+5869 4 2 0 1 1755 2383 2254 2668
+5870 4 2 0 1 2289 2609 1623 2629
+5871 4 2 0 1 1559 1800 1716 2490
+5872 4 2 0 1 1662 1786 2093 2212
+5873 4 2 0 1 1809 1680 2433 2450
+5874 4 2 0 1 1670 2147 1965 2391
+5875 4 2 0 1 1702 2343 2258 2652
+5876 4 2 0 1 693 1942 801 2028
+5877 4 2 0 1 1858 2136 1743 2347
+5878 4 2 0 1 624 2281 1912 2294
+5879 4 2 0 1 2158 2287 2070 2382
+5880 4 2 0 1 1789 2130 321 2601
+5881 4 2 0 1 1569 1716 1902 2490
+5882 4 2 0 1 1599 2152 1817 2365
+5883 4 2 0 1 1646 1745 2179 2434
+5884 4 2 0 1 357 1789 321 2601
+5885 4 2 0 1 1647 2085 1843 2673
+5886 4 2 0 1 1060 1109 2406 2424
+5887 4 2 0 1 1739 2527 2398 2798
+5888 4 2 0 1 1225 1331 1309 2076
+5889 4 2 0 1 823 1776 767 2649
+5890 4 2 0 1 1829 2268 334 2556
+5891 4 2 0 1 1009 921 989 2562
+5892 4 2 0 1 1399 1992 1893 2770
+5893 4 2 0 1 1748 2158 1624 2511
+5894 4 2 0 1 1529 1925 2187 2216
+5895 4 2 0 1 1669 1938 1791 2143
+5896 4 2 0 1 1535 2149 2089 2431
+5897 4 2 0 1 1618 2069 1766 2246
+5898 4 2 0 1 1144 1041 1021 1688
+5899 4 2 0 1 991 2115 897 2523
+5900 4 2 0 1 1005 1748 2287 2591
+5901 4 2 0 1 1978 2228 1681 2613
+5902 4 2 0 1 1533 1920 1802 2334
+5903 4 2 0 1 1548 1741 1814 2158
+5904 4 2 0 1 1615 1894 1790 2695
+5905 4 2 0 1 1737 1875 1594 2483
+5906 4 2 0 1 1580 2055 2361 2784
+5907 4 2 0 1 1620 2396 2011 2599
+5908 4 2 0 1 729 785 2087 2375
+5909 4 2 0 1 1650 2150 2239 2506
+5910 4 2 0 1 1841 2169 1653 2766
+5911 4 2 0 1 540 2281 611 2294
+5912 4 2 0 1 1475 1944 1367 2057
+5913 4 2 0 1 1468 2686 1984 2724
+5914 4 2 0 1 1525 1507 1284 2184
+5915 4 2 0 1 1599 1817 2152 2261
+5916 4 2 0 1 1533 1802 2080 2270
+5917 4 2 0 1 1666 2238 1901 2356
+5918 4 2 0 1 1687 1600 2317 2514
+5919 4 2 0 1 1214 2044 1857 2325
+5920 4 2 0 1 1537 1773 2386 2440
+5921 4 2 0 1 1736 1861 462 2185
+5922 4 2 0 1 1702 2524 2343 2652
+5923 4 2 0 1 1794 1627 2131 2497
+5924 4 2 0 1 678 2400 2260 2569
+5925 4 2 0 1 1576 2474 2346 2619
+5926 4 2 0 1 1706 2220 2050 2654
+5927 4 2 0 1 1610 2160 1724 2385
+5928 4 2 0 1 1709 2166 2029 2774
+5929 4 2 0 1 795 709 2144 2267
+5930 4 2 0 1 752 1942 803 1991
+5931 4 2 0 1 1093 2043 1041 2346
+5932 4 2 0 1 1259 1808 1420 2033
+5933 4 2 0 1 1310 2036 1788 2284
+5934 4 2 0 1 1844 2664 2257 2704
+5935 4 2 0 1 1577 1720 2029 2624
+5936 4 2 0 1 914 947 867 2280
+5937 4 2 0 1 1742 1976 1609 2091
+5938 4 2 0 1 1484 1279 1204 2081
+5939 4 2 0 1 1734 2313 2252 2678
+5940 4 2 0 1 1837 2226 1741 2625
+5941 4 2 0 1 1663 1742 2167 2507
+5942 4 2 0 1 235 2002 1850 2159
+5943 4 2 0 1 1813 1891 1567 2580
+5944 4 2 0 1 1783 2210 1921 2526
+5945 4 2 0 1 1700 2139 1899 2481
+5946 4 2 0 1 1703 1839 2439 2487
+5947 4 2 0 1 1949 2141 1652 2169
+5948 4 2 0 1 1731 1944 1803 2720
+5949 4 2 0 1 1727 2396 1568 2573
+5950 4 2 0 1 1984 2026 1607 2724
+5951 4 2 0 1 935 1724 2115 2461
+5952 4 2 0 1 1138 272 1930 2713
+5953 4 2 0 1 1852 2231 2037 2373
+5954 4 2 0 1 1572 2284 1788 2712
+5955 4 2 0 1 1801 2597 1564 2671
+5956 4 2 0 1 1598 2098 1773 2249
+5957 4 2 0 1 761 825 2316 2451
+5958 4 2 0 1 1732 1591 2123 2353
+5959 4 2 0 1 182 2030 1778 2211
+5960 4 2 0 1 401 343 334 2268
+5961 4 2 0 1 2143 2257 1938 2520
+5962 4 2 0 1 1772 2275 1893 2550
+5963 4 2 0 1 1670 2478 1940 2604
+5964 4 2 0 1 1994 2178 1292 2563
+5965 4 2 0 1 1570 1798 1886 2072
+5966 4 2 0 1 1650 2150 1916 2682
+5967 4 2 0 1 1276 2171 1933 2205
+5968 4 2 0 1 488 1069 1065 1927
+5969 4 2 0 1 255 2297 499 2438
+5970 4 2 0 1 1724 2461 935 2589
+5971 4 2 0 1 1784 1962 1538 2460
+5972 4 2 0 1 1796 2027 1558 2145
+5973 4 2 0 1 1820 2291 2022 2609
+5974 4 2 0 1 1862 2431 1851 2731
+5975 4 2 0 1 1536 1734 1949 2313
+5976 4 2 0 1 1850 2323 2005 2614
+5977 4 2 0 1 1547 1901 2238 2356
+5978 4 2 0 1 989 1907 1016 2125
+5979 4 2 0 1 2178 2563 1708 2730
+5980 4 2 0 1 1335 1341 1762 1992
+5981 4 2 0 1 2176 2319 1716 2423
+5982 4 2 0 1 1751 2224 1898 2636
+5983 4 2 0 1 1575 1763 2119 2509
+5984 4 2 0 1 325 2200 330 2328
+5985 4 2 0 1 1911 2105 1714 2510
+5986 4 2 0 1 1641 2118 1998 2354
+5987 4 2 0 1 1649 2027 1747 2762
+5988 4 2 0 1 708 2171 2099 2596
+5989 4 2 0 1 1813 2200 1736 2399
+5990 4 2 0 1 1724 1599 2129 2365
+5991 4 2 0 1 1720 2157 1989 2779
+5992 4 2 0 1 1354 1368 1235 2507
+5993 4 2 0 1 500 2225 504 2626
+5994 4 2 0 1 2109 2523 1946 2628
+5995 4 2 0 1 1988 2290 1844 2388
+5996 4 2 0 1 1685 2265 1933 2596
+5997 4 2 0 1 1318 1336 1192 1727
+5998 4 2 0 1 1133 1787 1271 2056
+5999 4 2 0 1 1271 1049 1281 1787
+6000 4 2 0 1 1635 1941 1768 2465
+6001 4 2 0 1 1420 1808 1195 2018
+6002 4 2 0 1 1557 1746 2541 2768
+6003 4 2 0 1 1672 2133 1589 2302
+6004 4 2 0 1 231 837 465 2068
+6005 4 2 0 1 1999 2061 1832 2486
+6006 4 2 0 1 1660 1981 1846 2491
+6007 4 2 0 1 1588 2067 1736 2632
+6008 4 2 0 1 975 860 2382 2421
+6009 4 2 0 1 1205 1281 1049 1787
+6010 4 2 0 1 1649 1747 2027 2597
+6011 4 2 0 1 881 1889 899 2589
+6012 4 2 0 1 1940 2478 2173 2789
+6013 4 2 0 1 1707 1914 1576 2346
+6014 4 2 0 1 1882 2098 1531 2249
+6015 4 2 0 1 1546 1898 2444 2771
+6016 4 2 0 1 1579 1886 1728 2226
+6017 4 2 0 1 1849 1877 1643 2426
+6018 4 2 0 1 497 2359 399 2472
+6019 4 2 0 1 1724 1771 2385 2644
+6020 4 2 0 1 1753 1676 2237 2590
+6021 4 2 0 1 1653 2141 1949 2169
+6022 4 2 0 1 565 573 629 1995
+6023 4 2 0 1 2217 2508 1718 2714
+6024 4 2 0 1 2005 2614 361 2669
+6025 4 2 0 1 1904 2054 1072 2202
+6026 4 2 0 1 1535 1892 2487 2665
+6027 4 2 0 1 2229 2552 2232 2563
+6028 4 2 0 1 1564 1917 1867 2611
+6029 4 2 0 1 1620 1804 2245 2707
+6030 4 2 0 1 1749 2615 2351 2718
+6031 4 2 0 1 1540 2071 1701 2230
+6032 4 2 0 1 1933 2265 1685 2718
+6033 4 2 0 1 1855 2074 1765 2585
+6034 4 2 0 1 899 881 950 1781
+6035 4 2 0 1 1800 2409 1877 2685
+6036 4 2 0 1 1830 2024 1542 2693
+6037 4 2 0 1 1705 2620 2474 2833
+6038 4 2 0 1 1565 1749 2322 2351
+6039 4 2 0 1 155 1771 1013 2165
+6040 4 2 0 1 752 799 803 1942
+6041 4 2 0 1 1359 2132 2294 2467
+6042 4 2 0 1 1545 2437 2164 2807
+6043 4 2 0 1 1533 2334 1802 2504
+6044 4 2 0 1 556 2236 2169 2390
+6045 4 2 0 1 1587 2040 1775 2075
+6046 4 2 0 1 1866 2112 1689 2654
+6047 4 2 0 1 1564 2647 1801 2671
+6048 4 2 0 1 1086 2518 2138 2594
+6049 4 2 0 1 2494 2495 2049 2561
+6050 4 2 0 1 168 1813 325 2399
+6051 4 2 0 1 1533 1753 1920 2334
+6052 4 2 0 1 1777 2290 2257 2707
+6053 4 2 0 1 1878 2249 1598 2440
+6054 4 2 0 1 1674 2705 1985 2773
+6055 4 2 0 1 852 828 1771 2186
+6056 4 2 0 1 325 1813 356 2399
+6057 4 2 0 1 829 1890 725 2684
+6058 4 2 0 1 1009 1751 921 2562
+6059 4 2 0 1 1834 2013 1561 2654
+6060 4 2 0 1 392 2262 1823 2516
+6061 4 2 0 1 1817 2233 1628 2261
+6062 4 2 0 1 1701 1540 2524 2698
+6063 4 2 0 1 871 875 994 2803
+6064 4 2 0 1 1158 1065 1142 1927
+6065 4 2 0 1 1547 2238 1745 2282
+6066 4 2 0 1 1799 538 2009 2408
+6067 4 2 0 1 1931 2280 2061 2588
+6068 4 2 0 1 1715 1660 2060 2491
+6069 4 2 0 1 1642 2174 1854 2515
+6070 4 2 0 1 2013 2220 1706 2654
+6071 4 2 0 1 1636 1844 1824 2704
+6072 4 2 0 1 1544 1721 2182 2537
+6073 4 2 0 1 2264 2339 1053 2522
+6074 4 2 0 1 1628 1889 1781 2081
+6075 4 2 0 1 1563 1861 1965 2391
+6076 4 2 0 1 388 418 272 2713
+6077 4 2 0 1 2401 2688 1833 2809
+6078 4 2 0 1 1777 1900 2290 2806
+6079 4 2 0 1 1809 2450 1884 2530
+6080 4 2 0 1 801 1740 814 2028
+6081 4 2 0 1 2070 2158 1624 2287
+6082 4 2 0 1 1780 1638 1922 2512
+6083 4 2 0 1 787 731 2055 2529
+6084 4 2 0 1 1734 1968 1878 2047
+6085 4 2 0 1 1648 1776 2014 2717
+6086 4 2 0 1 1709 2300 1784 2309
+6087 4 2 0 1 1745 2060 1617 2238
+6088 4 2 0 1 1792 2163 1690 2702
+6089 4 2 0 1 1578 2345 2443 2705
+6090 4 2 0 1 1538 2102 2078 2703
+6091 4 2 0 1 1784 1962 1932 2309
+6092 4 2 0 1 1732 2123 2219 2680
+6093 4 2 0 1 1656 1795 1925 2006
+6094 4 2 0 1 1694 2292 1847 2366
+6095 4 2 0 1 1314 1372 1926 2302
+6096 4 2 0 1 1060 2406 1819 2424
+6097 4 2 0 1 1574 2454 2036 2746
+6098 4 2 0 1 1113 1060 1819 2394
+6099 4 2 0 1 1557 2108 1746 2218
+6100 4 2 0 1 1905 2017 1778 2815
+6101 4 2 0 1 1158 488 1065 1927
+6102 4 2 0 1 1125 1143 2119 2255
+6103 4 2 0 1 1005 928 1748 2591
+6104 4 2 0 1 1700 662 2256 2672
+6105 4 2 0 1 1552 2482 1900 2593
+6106 4 2 0 1 1822 1881 2508 2773
+6107 4 2 0 1 1545 1833 2052 2088
+6108 4 2 0 1 1835 1903 1695 2799
+6109 4 2 0 1 1600 2101 1847 2366
+6110 4 2 0 1 1926 2429 1712 2765
+6111 4 2 0 1 1238 2008 1432 2205
+6112 4 2 0 1 1634 2084 2159 2376
+6113 4 2 0 1 1626 2265 1991 2596
+6114 4 2 0 1 1266 1708 2563 2730
+6115 4 2 0 1 2114 2119 1763 2509
+6116 4 2 0 1 1579 2072 1935 2285
+6117 4 2 0 1 447 2200 1879 2446
+6118 4 2 0 1 1694 1631 2189 2680
+6119 4 2 0 1 1551 2074 1765 2341
+6120 4 2 0 1 805 769 1826 2307
+6121 4 2 0 1 1603 1947 1829 2357
+6122 4 2 0 1 1617 2060 1715 2368
+6123 4 2 0 1 2214 2296 1928 2813
+6124 4 2 0 1 1568 1963 2440 2820
+6125 4 2 0 1 516 1946 149 2338
+6126 4 2 0 1 1552 2369 1835 2593
+6127 4 2 0 1 1788 1924 1223 2441
+6128 4 2 0 1 340 366 2159 2323
+6129 4 2 0 1 512 194 489 2626
+6130 4 2 0 1 1164 1089 1864 2584
+6131 4 2 0 1 2187 2216 1698 2540
+6132 4 2 0 1 1760 2174 1923 2329
+6133 4 2 0 1 1529 1925 2006 2187
+6134 4 2 0 1 1849 1877 1582 2567
+6135 4 2 0 1 1634 2159 2084 2323
+6136 4 2 0 1 1528 1911 1812 2650
+6137 4 2 0 1 1809 1680 2450 2530
+6138 4 2 0 1 1754 2292 2221 2492
+6139 4 2 0 1 1571 1858 2265 2347
+6140 4 2 0 1 1957 2316 1752 2451
+6141 4 2 0 1 1706 2654 2050 2746
+6142 4 2 0 1 2123 1694 2219 2680
+6143 4 2 0 1 1585 2027 1778 2239
+6144 4 2 0 1 1553 2496 1956 2782
+6145 4 2 0 1 1558 2027 1796 2837
+6146 4 2 0 1 1880 1917 1564 2597
+6147 4 2 0 1 1125 1763 1103 2255
+6148 4 2 0 1 1627 1794 2131 2484
+6149 4 2 0 1 885 949 862 2477
+6150 4 2 0 1 1573 1868 2180 2672
+6151 4 2 0 1 1568 2396 2820 2831
+6152 4 2 0 1 1742 1976 1199 2435
+6153 4 2 0 1 2306 2454 1750 2572
+6154 4 2 0 1 1632 2117 1876 2617
+6155 4 2 0 1 1528 1714 2111 2510
+6156 4 2 0 1 1680 1948 1809 2433
+6157 4 2 0 1 1905 1985 1674 2705
+6158 4 2 0 1 2085 2219 1806 2293
+6159 4 2 0 1 1125 1143 1763 2119
+6160 4 2 0 1 706 746 781 2379
+6161 4 2 0 1 1206 2117 1278 2785
+6162 4 2 0 1 1009 983 2162 2695
+6163 4 2 0 1 1558 2502 2017 2773
+6164 4 2 0 1 1737 1594 2134 2483
+6165 4 2 0 1 1610 2363 1839 2784
+6166 4 2 0 1 1553 1758 2206 2415
+6167 4 2 0 1 1967 1596 2286 2745
+6168 4 2 0 1 1545 2164 2676 2807
+6169 4 2 0 1 1468 1984 1460 2724
+6170 4 2 0 1 399 497 514 1831
+6171 4 2 0 1 707 747 2068 2501
+6172 4 2 0 1 1618 2206 2104 2215
+6173 4 2 0 1 165 957 164 1797
+6174 4 2 0 1 1733 2088 2052 2653
+6175 4 2 0 1 574 1884 2345 2530
+6176 4 2 0 1 1618 1766 2069 2496
+6177 4 2 0 1 2037 2110 1892 2487
+6178 4 2 0 1 299 2005 361 2669
+6179 4 2 0 1 764 700 1776 1936
+6180 4 2 0 1 1775 1863 1658 2565
+6181 4 2 0 1 1692 2392 1839 2754
+6182 4 2 0 1 1732 2293 1591 2353
+6183 4 2 0 1 1720 2166 2029 2779
+6184 4 2 0 1 2179 2264 1053 2522
+6185 4 2 0 1 1552 2029 2166 2779
+6186 4 2 0 1 1517 2026 1235 2507
+6187 4 2 0 1 230 2153 1877 2567
+6188 4 2 0 1 2140 2278 1707 2696
+6189 4 2 0 1 1820 2021 1708 2755
+6190 4 2 0 1 2123 2156 1694 2680
+6191 4 2 0 1 852 1771 728 2055
+6192 4 2 0 1 784 2508 2217 2714
+6193 4 2 0 1 1790 2444 1898 2771
+6194 4 2 0 1 1841 2141 1653 2728
+6195 4 2 0 1 1874 2630 2452 2652
+6196 4 2 0 1 1823 1964 1605 2735
+6197 4 2 0 1 1805 1755 2254 2668
+6198 4 2 0 1 1589 2102 1926 2320
+6199 4 2 0 1 1754 1603 1929 2172
+6200 4 2 0 1 681 2180 1766 2246
+6201 4 2 0 1 786 773 720 1849
+6202 4 2 0 1 1563 1965 1861 2662
+6203 4 2 0 1 799 692 803 1942
+6204 4 2 0 1 1606 1699 1979 2757
+6205 4 2 0 1 1956 2496 1689 2782
+6206 4 2 0 1 1675 2065 1791 2266
+6207 4 2 0 1 1862 1535 2089 2431
+6208 4 2 0 1 1712 2429 1852 2765
+6209 4 2 0 1 1888 2166 1925 2216
+6210 4 2 0 1 299 1859 2005 2669
+6211 4 2 0 1 1579 1935 1798 2094
+6212 4 2 0 1 419 2200 168 2399
+6213 4 2 0 1 227 1737 430 2468
+6214 4 2 0 1 1510 1872 1298 2241
+6215 4 2 0 1 2039 1981 2505 2646
+6216 4 2 0 1 524 1946 2209 2477
+6217 4 2 0 1 465 2068 837 2106
+6218 4 2 0 1 2106 2502 1718 2635
+6219 4 2 0 1 1555 1908 1906 2608
+6220 4 2 0 1 457 430 472 2127
+6221 4 2 0 1 1880 1917 1747 2547
+6222 4 2 0 1 1748 1872 1624 2287
+6223 4 2 0 1 1580 2203 1839 2665
+6224 4 2 0 1 574 613 554 2345
+6225 4 2 0 1 1892 2037 1608 2373
+6226 4 2 0 1 1702 2258 2546 2652
+6227 4 2 0 1 612 1841 603 2236
+6228 4 2 0 1 1729 2073 1999 2545
+6229 4 2 0 1 2171 2205 1276 2513
+6230 4 2 0 1 1670 2286 1967 2752
+6231 4 2 0 1 1997 2298 1695 2741
+6232 4 2 0 1 1704 2313 2230 2427
+6233 4 2 0 1 1625 2296 2214 2813
+6234 4 2 0 1 1576 2232 2229 2552
+6235 4 2 0 1 1778 2017 1816 2776
+6236 4 2 0 1 1945 2004 1806 2312
+6237 4 2 0 1 1642 2012 1760 2174
+6238 4 2 0 1 1606 2228 1699 2757
+6239 4 2 0 1 1689 1783 2220 2348
+6240 4 2 0 1 1700 2260 2139 2481
+6241 4 2 0 1 717 2186 769 2307
+6242 4 2 0 1 1559 1729 1952 2793
+6243 4 2 0 1 1982 2088 1588 2446
+6244 4 2 0 1 1150 1775 1085 2170
+6245 4 2 0 1 1582 1977 2149 2163
+6246 4 2 0 1 1927 2049 478 2464
+6247 4 2 0 1 1325 2012 1361 2325
+6248 4 2 0 1 1540 1838 2071 2230
+6249 4 2 0 1 1087 1029 1846 2202
+6250 4 2 0 1 1616 1883 2187 2244
+6251 4 2 0 1 1575 2025 1863 2570
+6252 4 2 0 1 1740 1942 1571 2432
+6253 4 2 0 1 678 1725 2400 2569
+6254 4 2 0 1 1696 2055 2051 2135
+6255 4 2 0 1 1893 1992 1399 2201
+6256 4 2 0 1 399 2472 1831 2560
+6257 4 2 0 1 460 1809 2610 2661
+6258 4 2 0 1 1661 2178 1994 2563
+6259 4 2 0 1 1531 1836 2368 2505
+6260 4 2 0 1 2083 2315 1848 2792
+6261 4 2 0 1 1882 1989 1684 2103
+6262 4 2 0 1 2187 2244 1883 2548
+6263 4 2 0 1 1583 1964 1940 1981
+6264 4 2 0 1 891 2494 2049 2561
+6265 4 2 0 1 1352 1935 1316 2094
+6266 4 2 0 1 587 2053 620 2367
+6267 4 2 0 1 1540 2071 2059 2756
+6268 4 2 0 1 1701 1540 2230 2524
+6269 4 2 0 1 1727 1568 2340 2573
+6270 4 2 0 1 1848 2575 1720 2797
+6271 4 2 0 1 1621 1785 2204 2304
+6272 4 2 0 1 1618 2053 1828 2367
+6273 4 2 0 1 1586 1932 1962 2309
+6274 4 2 0 1 2015 2019 1698 2082
+6275 4 2 0 1 293 368 2448 2516
+6276 4 2 0 1 1607 1949 1799 2198
+6277 4 2 0 1 227 358 1737 2468
+6278 4 2 0 1 1152 2060 1960 2410
+6279 4 2 0 1 356 2196 1813 2328
+6280 4 2 0 1 762 2451 2034 2684
+6281 4 2 0 1 1647 1843 2085 2389
+6282 4 2 0 1 1559 1716 1952 2545
+6283 4 2 0 1 1363 1369 2042 2342
+6284 4 2 0 1 1531 2604 1882 2735
+6285 4 2 0 1 1639 1730 2215 2463
+6286 4 2 0 1 852 154 155 1771
+6287 4 2 0 1 1367 1944 1320 2462
+6288 4 2 0 1 1773 1882 1684 2675
+6289 4 2 0 1 291 2298 1997 2741
+6290 4 2 0 1 490 412 387 1918
+6291 4 2 0 1 1550 2004 1806 2418
+6292 4 2 0 1 2101 2366 411 2494
+6293 4 2 0 1 1528 2465 1966 2836
+6294 4 2 0 1 1564 2611 1867 2671
+6295 4 2 0 1 1626 1933 2265 2596
+6296 4 2 0 1 1704 2230 1874 2427
+6297 4 2 0 1 1913 1035 2170 2713
+6298 4 2 0 1 1682 2038 1969 2482
+6299 4 2 0 1 1879 1588 2088 2446
+6300 4 2 0 1 1538 1962 1784 2388
+6301 4 2 0 1 1189 2146 1707 2640
+6302 4 2 0 1 342 334 2268 2556
+6303 4 2 0 1 1617 1815 1972 2175
+6304 4 2 0 1 2052 2088 1833 2653
+6305 4 2 0 1 710 775 2508 2555
+6306 4 2 0 1 1272 1808 1259 2177
+6307 4 2 0 1 1564 1920 1753 2829
+6308 4 2 0 1 1771 2055 1696 2670
+6309 4 2 0 1 1581 1740 2045 2659
+6310 4 2 0 1 649 1845 594 1948
+6311 4 2 0 1 1954 2206 1758 2415
+6312 4 2 0 1 2258 2343 1702 2546
+6313 4 2 0 1 1886 2072 1943 2240
+6314 4 2 0 1 1756 1981 2025 2646
+6315 4 2 0 1 1858 2265 2008 2801
+6316 4 2 0 1 1699 2726 2412 2757
+6317 4 2 0 1 848 780 811 1855
+6318 4 2 0 1 1669 2078 1852 2231
+6319 4 2 0 1 1439 1798 2387 2763
+6320 4 2 0 1 2134 2389 1591 2832
+6321 4 2 0 1 324 224 398 2084
+6322 4 2 0 1 1609 1742 2091 2167
+6323 4 2 0 1 1984 2686 2026 2724
+6324 4 2 0 1 1869 1972 652 2390
+6325 4 2 0 1 680 643 587 1937
+6326 4 2 0 1 1928 2296 2214 2675
+6327 4 2 0 1 1658 2092 1904 2622
+6328 4 2 0 1 1594 2134 1919 2607
+6329 4 2 0 1 1613 2111 2000 2429
+6330 4 2 0 1 1617 1960 1715 2060
+6331 4 2 0 1 2214 2296 1625 2675
+6332 4 2 0 1 2260 2400 1725 2569
+6333 4 2 0 1 1498 2057 959 2241
+6334 4 2 0 1 1531 1981 2063 2505
+6335 4 2 0 1 311 2084 1733 2574
+6336 4 2 0 1 1709 2309 1550 2519
+6337 4 2 0 1 1680 2154 1934 2706
+6338 4 2 0 1 1790 1667 2428 2562
+6339 4 2 0 1 1245 1774 1321 2455
+6340 4 2 0 1 1388 2018 1221 2788
+6341 4 2 0 1 2022 2232 1539 2648
+6342 4 2 0 1 1983 2590 1676 2614
+6343 4 2 0 1 1760 1924 1923 2441
+6344 4 2 0 1 1950 2443 1916 2682
+6345 4 2 0 1 958 1006 2327 2576
+6346 4 2 0 1 140 2277 1955 2456
+6347 4 2 0 1 1584 2103 1882 2675
+6348 4 2 0 1 1561 2572 2011 2599
+6349 4 2 0 1 1799 1949 1653 2272
+6350 4 2 0 1 1912 1995 1637 2371
+6351 4 2 0 1 915 2233 1803 2775
+6352 4 2 0 1 1656 2108 2548 2578
+6353 4 2 0 1 1638 2044 1857 2310
+6354 4 2 0 1 1660 2238 2060 2733
+6355 4 2 0 1 464 1849 505 2692
+6356 4 2 0 1 1529 1888 2015 2300
+6357 4 2 0 1 1285 1206 1293 2056
+6358 4 2 0 1 1486 1256 1707 2146
+6359 4 2 0 1 503 998 516 2477
+6360 4 2 0 1 2057 2241 1654 2279
+6361 4 2 0 1 2061 2280 1931 2689
+6362 4 2 0 1 1559 1952 1729 2545
+6363 4 2 0 1 1893 2275 1772 2751
+6364 4 2 0 1 1664 2158 2070 2382
+6365 4 2 0 1 1897 2059 1592 2380
+6366 4 2 0 1 1575 2509 2114 2817
+6367 4 2 0 1 2343 2524 1595 2652
+6368 4 2 0 1 344 2092 1979 2448
+6369 4 2 0 1 1629 1765 2074 2341
+6370 4 2 0 1 764 2045 1776 2253
+6371 4 2 0 1 1961 2073 1593 2280
+6372 4 2 0 1 1315 1944 1187 2383
+6373 4 2 0 1 488 1069 1927 2424
+6374 4 2 0 1 2031 2437 1739 2809
+6375 4 2 0 1 661 1766 593 2246
+6376 4 2 0 1 1232 1333 1322 2012
+6377 4 2 0 1 1751 1790 2428 2562
+6378 4 2 0 1 1797 2188 1721 2625
+6379 4 2 0 1 1449 1798 1222 2247
+6380 4 2 0 1 766 2307 1957 2403
+6381 4 2 0 1 1945 2300 1709 2774
+6382 4 2 0 1 1852 2429 1556 2765
+6383 4 2 0 1 1471 2057 1307 2241
+6384 4 2 0 1 1006 2542 1687 2576
+6385 4 2 0 1 1363 1369 1217 2042
+6386 4 2 0 1 1537 2181 2386 2549
+6387 4 2 0 1 1585 2190 1733 2653
+6388 4 2 0 1 1954 2206 1553 2220
+6389 4 2 0 1 1529 2216 2187 2540
+6390 4 2 0 1 1618 1828 2104 2206
+6391 4 2 0 1 1785 1892 2304 2665
+6392 4 2 0 1 1321 1774 1245 2453
+6393 4 2 0 1 1760 2174 1908 2263
+6394 4 2 0 1 1893 2550 2275 2770
+6395 4 2 0 1 1133 1049 1271 1787
+6396 4 2 0 1 230 239 509 2153
+6397 4 2 0 1 1996 2597 1801 2671
+6398 4 2 0 1 2126 2548 1587 2578
+6399 4 2 0 1 351 208 1879 2333
+6400 4 2 0 1 1529 2240 2015 2540
+6401 4 2 0 1 1700 2569 662 2672
+6402 4 2 0 1 1646 2264 2179 2522
+6403 4 2 0 1 773 1849 786 2403
+6404 4 2 0 1 1716 1594 2097 2319
+6405 4 2 0 1 1566 2105 1731 2261
+6406 4 2 0 1 1778 1985 1659 2239
+6407 4 2 0 1 1607 1937 1799 2408
+6408 4 2 0 1 1315 1475 1187 1944
+6409 4 2 0 1 1773 1537 2214 2440
+6410 4 2 0 1 1593 1961 2086 2545
+6411 4 2 0 1 693 797 800 2288
+6412 4 2 0 1 2265 2351 1785 2718
+6413 4 2 0 1 150 2338 1946 2628
+6414 4 2 0 1 1998 2136 1641 2354
+6415 4 2 0 1 1702 1874 2524 2652
+6416 4 2 0 1 1564 2647 2671 2699
+6417 4 2 0 1 939 868 2287 2715
+6418 4 2 0 1 209 2200 1982 2328
+6419 4 2 0 1 1648 2100 2079 2360
+6420 4 2 0 1 770 1860 854 2638
+6421 4 2 0 1 1401 1426 1399 2770
+6422 4 2 0 1 893 1797 165 2278
+6423 4 2 0 1 299 1859 183 2647
+6424 4 2 0 1 1584 2019 1773 2549
+6425 4 2 0 1 1253 2201 1178 2455
+6426 4 2 0 1 379 1861 420 1965
+6427 4 2 0 1 242 1831 514 2560
+6428 4 2 0 1 1093 2346 1041 2458
+6429 4 2 0 1 1784 1538 2402 2460
+6430 4 2 0 1 1631 1694 2156 2680
+6431 4 2 0 1 1844 2257 1824 2704
+6432 4 2 0 1 1588 2088 1982 2430
+6433 4 2 0 1 1630 1934 2154 2706
+6434 4 2 0 1 1893 2550 1824 2751
+6435 4 2 0 1 1825 1934 1630 2192
+6436 4 2 0 1 708 2596 2099 2677
+6437 4 2 0 1 835 1210 1264 1933
+6438 4 2 0 1 1596 1967 2286 2752
+6439 4 2 0 1 2113 2517 1657 2590
+6440 4 2 0 1 626 2359 515 2610
+6441 4 2 0 1 703 1957 2316 2403
+6442 4 2 0 1 1561 1818 1866 2112
+6443 4 2 0 1 1718 2436 771 2508
+6444 4 2 0 1 1550 1806 2293 2418
+6445 4 2 0 1 1132 517 266 2626
+6446 4 2 0 1 1663 1968 1742 2026
+6447 4 2 0 1 1555 1769 2608 2736
+6448 4 2 0 1 308 207 2130 2624
+6449 4 2 0 1 500 1904 504 2225
+6450 4 2 0 1 1915 1965 379 2791
+6451 4 2 0 1 1712 2429 2111 2566
+6452 4 2 0 1 206 2614 1983 2669
+6453 4 2 0 1 1720 1989 2157 2355
+6454 4 2 0 1 1448 1906 1386 2263
+6455 4 2 0 1 1892 1986 1608 2037
+6456 4 2 0 1 1587 2108 2040 2578
+6457 4 2 0 1 1659 1778 2239 2653
+6458 4 2 0 1 1367 2057 1944 2462
+6459 4 2 0 1 1005 2287 1748 2382
+6460 4 2 0 1 1592 2059 1897 2827
+6461 4 2 0 1 1175 1018 1086 2138
+6462 4 2 0 1 1644 2391 1965 2438
+6463 4 2 0 1 2351 2615 1580 2718
+6464 4 2 0 1 1737 1591 1939 2489
+6465 4 2 0 1 1740 1581 2028 2432
+6466 4 2 0 1 1621 1757 2307 2363
+6467 4 2 0 1 1681 2613 2228 2768
+6468 4 2 0 1 149 1946 150 2338
+6469 4 2 0 1 1266 2563 2178 2730
+6470 4 2 0 1 764 1776 823 2253
+6471 4 2 0 1 1763 1975 1088 2414
+6472 4 2 0 1 1625 2103 1900 2806
+6473 4 2 0 1 523 1720 519 2624
+6474 4 2 0 1 1818 2820 2396 2831
+6475 4 2 0 1 1423 580 1198 2294
+6476 4 2 0 1 1694 1631 2156 2189
+6477 4 2 0 1 1541 2065 1865 2310
+6478 4 2 0 1 1660 1842 1975 2544
+6479 4 2 0 1 1561 1866 1818 2396
+6480 4 2 0 1 2161 2555 714 2649
+6481 4 2 0 1 1054 2278 2140 2696
+6482 4 2 0 1 1838 2391 1770 2823
+6483 4 2 0 1 2116 2527 1739 2798
+6484 4 2 0 1 1846 1975 1660 2491
+6485 4 2 0 1 1549 1876 2039 2600
+6486 4 2 0 1 1531 1964 1940 2735
+6487 4 2 0 1 1143 1055 1088 2119
+6488 4 2 0 1 1958 2471 2183 2506
+6489 4 2 0 1 1536 2313 1949 2723
+6490 4 2 0 1 1580 2665 1839 2754
+6491 4 2 0 1 2177 2184 1204 2299
+6492 4 2 0 1 1140 2035 162 2416
+6493 4 2 0 1 386 431 2207 2661
+6494 4 2 0 1 1947 2366 1847 2683
+6495 4 2 0 1 1759 2234 1854 2515
+6496 4 2 0 1 778 851 815 2596
+6497 4 2 0 1 1907 2057 1654 2279
+6498 4 2 0 1 2085 2293 1806 2418
+6499 4 2 0 1 1551 1792 2341 2702
+6500 4 2 0 1 1746 2138 1959 2828
+6501 4 2 0 1 1634 2005 1801 2242
+6502 4 2 0 1 1828 1618 2367 2725
+6503 4 2 0 1 423 2173 512 2225
+6504 4 2 0 1 438 2128 1156 2422
+6505 4 2 0 1 1102 1904 1072 2202
+6506 4 2 0 1 497 1831 399 2359
+6507 4 2 0 1 1585 1733 2052 2653
+6508 4 2 0 1 1195 2018 1808 2374
+6509 4 2 0 1 955 1390 1436 2057
+6510 4 2 0 1 2044 2455 1651 2493
+6511 4 2 0 1 1036 1127 1994 2255
+6512 4 2 0 1 2275 2550 1633 2770
+6513 4 2 0 1 2060 2238 1745 2733
+6514 4 2 0 1 1575 1975 1763 2544
+6515 4 2 0 1 426 1809 644 2610
+6516 4 2 0 1 1537 2386 2142 2440
+6517 4 2 0 1 747 2106 2068 2501
+6518 4 2 0 1 671 1869 640 2390
+6519 4 2 0 1 1702 1899 2139 2580
+6520 4 2 0 1 1841 2728 2236 2745
+6521 4 2 0 1 1851 1619 2431 2490
+6522 4 2 0 1 1781 1204 2184 2299
+6523 4 2 0 1 924 1907 1016 2553
+6524 4 2 0 1 1769 1555 1908 2736
+6525 4 2 0 1 1302 1315 2383 2531
+6526 4 2 0 1 1651 2044 1938 2520
+6527 4 2 0 1 1953 2136 1743 2354
+6528 4 2 0 1 949 2477 1729 2637
+6529 4 2 0 1 1567 2196 1813 2207
+6530 4 2 0 1 368 382 2448 2516
+6531 4 2 0 1 1003 1790 1000 2562
+6532 4 2 0 1 235 1850 456 2159
+6533 4 2 0 1 1672 2420 2208 2668
+6534 4 2 0 1 2015 2240 1691 2540
+6535 4 2 0 1 1206 1293 2056 2785
+6536 4 2 0 1 1906 1386 2263 2711
+6537 4 2 0 1 592 1831 514 2359
+6538 4 2 0 1 306 2190 1801 2744
+6539 4 2 0 1 1537 1807 2019 2214
+6540 4 2 0 1 2038 2071 1701 2698
+6541 4 2 0 1 2125 2248 858 2588
+6542 4 2 0 1 717 776 1757 2307
+6543 4 2 0 1 1609 2142 1887 2356
+6544 4 2 0 1 1545 2088 2052 2676
+6545 4 2 0 1 311 1733 295 2574
+6546 4 2 0 1 190 254 261 2456
+6547 4 2 0 1 950 881 937 2081
+6548 4 2 0 1 1669 1791 1938 2231
+6549 4 2 0 1 1620 2199 1774 2201
+6550 4 2 0 1 1536 2047 1734 2313
+6551 4 2 0 1 1733 2446 1659 2653
+6552 4 2 0 1 1897 2330 2046 2560
+6553 4 2 0 1 1539 2151 1853 2509
+6554 4 2 0 1 1549 1901 2544 2716
+6555 4 2 0 1 413 2068 377 2106
+6556 4 2 0 1 1309 2076 1755 2668
+6557 4 2 0 1 1164 1122 1089 2584
+6558 4 2 0 1 1565 2351 2322 2783
+6559 4 2 0 1 1887 2142 1666 2356
+6560 4 2 0 1 1150 1775 1031 2565
+6561 4 2 0 1 1625 2019 1807 2214
+6562 4 2 0 1 794 754 1933 2171
+6563 4 2 0 1 1567 2139 2260 2481
+6564 4 2 0 1 1865 2065 1759 2310
+6565 4 2 0 1 2005 2323 205 2614
+6566 4 2 0 1 354 2123 1895 2489
+6567 4 2 0 1 1584 2019 1888 2103
+6568 4 2 0 1 1753 2431 2110 2633
+6569 4 2 0 1 1963 2214 2440 2820
+6570 4 2 0 1 1830 1865 1572 2276
+6571 4 2 0 1 1784 1601 1945 2418
+6572 4 2 0 1 1511 1473 973 2241
+6573 4 2 0 1 1773 2019 2386 2549
+6574 4 2 0 1 1853 2646 2083 2660
+6575 4 2 0 1 1233 1412 2091 2507
+6576 4 2 0 1 921 876 989 2279
+6577 4 2 0 1 1592 1841 2321 2761
+6578 4 2 0 1 1016 1907 870 2553
+6579 4 2 0 1 1934 1680 2706 2786
+6580 4 2 0 1 1962 1844 2290 2388
+6581 4 2 0 1 763 1855 848 2378
+6582 4 2 0 1 663 1815 617 2236
+6583 4 2 0 1 1647 2134 1919 2389
+6584 4 2 0 1 1542 1830 1923 2024
+6585 4 2 0 1 1541 1938 1791 2476
+6586 4 2 0 1 1425 1992 1228 2770
+6587 4 2 0 1 1797 2070 1721 2188
+6588 4 2 0 1 290 2062 293 2448
+6589 4 2 0 1 1737 2127 2023 2679
+6590 4 2 0 1 1072 1904 1132 2054
+6591 4 2 0 1 1593 1832 2061 2280
+6592 4 2 0 1 1571 2347 2432 2659
+6593 4 2 0 1 372 351 208 1879
+6594 4 2 0 1 410 1965 499 1967
+6595 4 2 0 1 1839 2392 2361 2754
+6596 4 2 0 1 652 640 685 1869
+6597 4 2 0 1 1868 2122 1592 2618
+6598 4 2 0 1 2027 2145 1796 2447
+6599 4 2 0 1 1772 1824 2550 2751
+6600 4 2 0 1 1771 2361 1839 2385
+6601 4 2 0 1 548 593 2069 2246
+6602 4 2 0 1 504 1904 170 2225
+6603 4 2 0 1 1662 2212 2120 2687
+6604 4 2 0 1 1377 1214 2325 2512
+6605 4 2 0 1 1926 2016 1305 2667
+6606 4 2 0 1 1836 2175 1734 2193
+6607 4 2 0 1 1773 2019 1537 2386
+6608 4 2 0 1 614 2400 584 2530
+6609 4 2 0 1 1209 1678 2381 2493
+6610 4 2 0 1 1961 2086 274 2107
+6611 4 2 0 1 1233 1421 1199 2091
+6612 4 2 0 1 2052 2088 1733 2676
+6613 4 2 0 1 1633 2148 1762 2243
+6614 4 2 0 1 621 534 1990 2344
+6615 4 2 0 1 1573 1956 2010 2630
+6616 4 2 0 1 710 701 1822 2436
+6617 4 2 0 1 1608 2118 1892 2829
+6618 4 2 0 1 1840 2195 1549 2273
+6619 4 2 0 1 1579 1943 2072 2285
+6620 4 2 0 1 929 2073 867 2280
+6621 4 2 0 1 1693 1854 2174 2183
+6622 4 2 0 1 1820 2022 2289 2609
+6623 4 2 0 1 1181 1478 1115 1994
+6624 4 2 0 1 1835 2593 1903 2799
+6625 4 2 0 1 323 2559 337 2601
+6626 4 2 0 1 1867 2149 1535 2431
+6627 4 2 0 1 1746 2138 1122 2458
+6628 4 2 0 1 892 2523 1946 2637
+6629 4 2 0 1 1371 1760 1234 2263
+6630 4 2 0 1 1847 1947 1694 2366
+6631 4 2 0 1 1549 1876 2600 2617
+6632 4 2 0 1 1624 2158 2070 2188
+6633 4 2 0 1 1118 1166 2349 2564
+6634 4 2 0 1 1538 2078 2102 2460
+6635 4 2 0 1 584 590 644 2400
+6636 4 2 0 1 1677 1897 2297 2330
+6637 4 2 0 1 1548 2158 1814 2224
+6638 4 2 0 1 204 1801 2005 2647
+6639 4 2 0 1 1268 2289 1708 2730
+6640 4 2 0 1 1581 1740 2028 2045
+6641 4 2 0 1 1571 1942 1740 2347
+6642 4 2 0 1 725 1890 762 2684
+6643 4 2 0 1 649 1845 1948 2786
+6644 4 2 0 1 1865 2065 1597 2471
+6645 4 2 0 1 618 2212 1786 2687
+6646 4 2 0 1 1532 2150 1782 2538
+6647 4 2 0 1 447 209 2200 2446
+6648 4 2 0 1 2026 2342 1235 2507
+6649 4 2 0 1 1003 990 877 2155
+6650 4 2 0 1 1794 1924 1622 2087
+6651 4 2 0 1 1699 2621 2726 2757
+6652 4 2 0 1 2093 2443 2100 2693
+6653 4 2 0 1 708 2099 817 2677
+6654 4 2 0 1 1606 1930 1913 2170
+6655 4 2 0 1 1825 2459 1921 2749
+6656 4 2 0 1 340 2159 1850 2323
+6657 4 2 0 1 1669 1962 1844 2290
+6658 4 2 0 1 1743 1953 1571 2136
+6659 4 2 0 1 1576 2619 2346 2810
+6660 4 2 0 1 2052 2084 1733 2190
+6661 4 2 0 1 1988 2300 2015 2806
+6662 4 2 0 1 924 1016 1907 2125
+6663 4 2 0 1 1528 1919 2465 2836
+6664 4 2 0 1 1667 2248 2486 2778
+6665 4 2 0 1 1671 2047 1866 2427
+6666 4 2 0 1 1570 2082 2015 2291
+6667 4 2 0 1 1667 2248 1832 2486
+6668 4 2 0 1 2286 2391 2380 2823
+6669 4 2 0 1 1666 1887 2356 2600
+6670 4 2 0 1 1877 2409 444 2685
+6671 4 2 0 1 565 667 576 2131
+6672 4 2 0 1 1861 2090 415 2185
+6673 4 2 0 1 399 1831 242 2560
+6674 4 2 0 1 1731 1589 2531 2788
+6675 4 2 0 1 2157 2657 1903 2741
+6676 4 2 0 1 1957 2307 1757 2403
+6677 4 2 0 1 566 138 1735 2419
+6678 4 2 0 1 1599 1724 2129 2160
+6679 4 2 0 1 1620 1717 2340 2599
+6680 4 2 0 1 1693 1923 2174 2329
+6681 4 2 0 1 1874 2116 1671 2524
+6682 4 2 0 1 1542 2079 1923 2372
+6683 4 2 0 1 1731 2018 1589 2788
+6684 4 2 0 1 1612 2320 1926 2429
+6685 4 2 0 1 1678 2001 1209 2381
+6686 4 2 0 1 584 644 1809 2400
+6687 4 2 0 1 405 2196 356 2328
+6688 4 2 0 1 1572 1788 2276 2712
+6689 4 2 0 1 1788 1924 1923 2305
+6690 4 2 0 1 1933 2557 2265 2718
+6691 4 2 0 1 1581 2045 2014 2659
+6692 4 2 0 1 1813 2196 356 2207
+6693 4 2 0 1 1794 1622 1924 2305
+6694 4 2 0 1 1594 1918 2571 2607
+6695 4 2 0 1 893 2137 1797 2278
+6696 4 2 0 1 1836 1617 2175 2595
+6697 4 2 0 1 1558 1881 1822 2773
+6698 4 2 0 1 962 2129 1832 2365
+6699 4 2 0 1 1563 1915 1965 2662
+6700 4 2 0 1 1517 1235 2026 2342
+6701 4 2 0 1 1592 1897 2618 2827
+6702 4 2 0 1 399 514 242 1831
+6703 4 2 0 1 860 1873 887 2382
+6704 4 2 0 1 1841 1653 2169 2728
+6705 4 2 0 1 1641 1811 1867 2611
+6706 4 2 0 1 1803 2057 1907 2462
+6707 4 2 0 1 225 2576 450 2679
+6708 4 2 0 1 757 831 468 2068
+6709 4 2 0 1 1748 2254 2158 2511
+6710 4 2 0 1 1440 1259 1420 2033
+6711 4 2 0 1 1875 2086 179 2097
+6712 4 2 0 1 2117 2223 1876 2617
+6713 4 2 0 1 1633 1963 1762 2340
+6714 4 2 0 1 2032 2116 1701 2230
+6715 4 2 0 1 1830 1923 1693 2372
+6716 4 2 0 1 1581 2014 1743 2659
+6717 4 2 0 1 1616 2187 1883 2648
+6718 4 2 0 1 761 2316 1957 2451
+6719 4 2 0 1 2000 2370 2037 2429
+6720 4 2 0 1 1324 2013 1340 2579
+6721 4 2 0 1 1567 2139 1891 2706
+6722 4 2 0 1 1888 2103 2019 2675
+6723 4 2 0 1 592 514 1831 2560
+6724 4 2 0 1 1625 1888 2019 2675
+6725 4 2 0 1 1859 2153 2409 2669
+6726 4 2 0 1 308 2130 207 2269
+6727 4 2 0 1 1608 2037 1986 2231
+6728 4 2 0 1 1241 2263 1234 2358
+6729 4 2 0 1 1699 2412 2726 2805
+6730 4 2 0 1 2119 2384 1019 2570
+6731 4 2 0 1 2011 2572 1683 2599
+6732 4 2 0 1 1555 1769 1908 2608
+6733 4 2 0 1 1541 2065 1791 2602
+6734 4 2 0 1 1593 1999 1738 2061
+6735 4 2 0 1 1551 2163 1792 2702
+6736 4 2 0 1 399 2359 1831 2472
+6737 4 2 0 1 1813 1588 2200 2328
+6738 4 2 0 1 1892 2373 1608 2829
+6739 4 2 0 1 915 1803 874 2462
+6740 4 2 0 1 1701 2071 1540 2698
+6741 4 2 0 1 1623 1876 2022 2223
+6742 4 2 0 1 1586 2290 1900 2806
+6743 4 2 0 1 1887 1537 2142 2243
+6744 4 2 0 1 1943 2072 1691 2240
+6745 4 2 0 1 1579 1935 2094 2420
+6746 4 2 0 1 1348 1511 1357 1872
+6747 4 2 0 1 1103 2056 1039 2255
+6748 4 2 0 1 182 1778 300 2211
+6749 4 2 0 1 1421 1248 1976 2091
+6750 4 2 0 1 955 1436 979 2057
+6751 4 2 0 1 1809 1884 2450 2533
+6752 4 2 0 1 2092 2448 382 2516
+6753 4 2 0 1 1601 1784 1943 2402
+6754 4 2 0 1 1969 2038 1697 2482
+6755 4 2 0 1 1641 2136 1953 2354
+6756 4 2 0 1 1578 2124 1955 2457
+6757 4 2 0 1 1632 1876 2117 2223
+6758 4 2 0 1 1165 1088 1975 2414
+6759 4 2 0 1 1734 1968 1949 2790
+6760 4 2 0 1 1819 1927 1603 2394
+6761 4 2 0 1 1622 1924 1760 2358
+6762 4 2 0 1 512 2626 2225 2818
+6763 4 2 0 1 1018 1086 2138 2594
+6764 4 2 0 1 1757 1621 2089 2363
+6765 4 2 0 1 1581 1743 2014 2213
+6766 4 2 0 1 1630 1948 1845 2786
+6767 4 2 0 1 1601 2402 1971 2480
+6768 4 2 0 1 1737 1939 1591 2134
+6769 4 2 0 1 1047 1101 1106 2060
+6770 4 2 0 1 612 2236 1815 2344
+6771 4 2 0 1 1177 1442 1922 2016
+6772 4 2 0 1 1800 444 2409 2685
+6773 4 2 0 1 1603 1910 2357 2764
+6774 4 2 0 1 792 723 2135 2670
+6775 4 2 0 1 1663 2026 1742 2507
+6776 4 2 0 1 922 1790 2542 2695
+6777 4 2 0 1 1807 2015 1570 2082
+6778 4 2 0 1 1873 2259 887 2382
+6779 4 2 0 1 1549 2273 2195 2716
+6780 4 2 0 1 638 1948 594 2260
+6781 4 2 0 1 1650 2239 2150 2682
+6782 4 2 0 1 1646 1745 1901 2522
+6783 4 2 0 1 1803 1944 1907 2057
+6784 4 2 0 1 349 344 223 1979
+6785 4 2 0 1 1361 2325 2012 2711
+6786 4 2 0 1 1796 2027 2447 2837
+6787 4 2 0 1 1065 1927 1069 2424
+6788 4 2 0 1 194 2626 512 2818
+6789 4 2 0 1 1596 1670 2173 2752
+6790 4 2 0 1 1897 2046 1831 2560
+6791 4 2 0 1 1792 1690 2163 2445
+6792 4 2 0 1 816 1860 729 2425
+6793 4 2 0 1 2206 2220 1954 2782
+6794 4 2 0 1 1721 1140 2274 2416
+6795 4 2 0 1 1805 2383 1944 2531
+6796 4 2 0 1 1809 1948 1680 2530
+6797 4 2 0 1 1843 2085 1591 2219
+6798 4 2 0 1 1630 1845 1948 2706
+6799 4 2 0 1 2098 2147 1882 2604
+6800 4 2 0 1 1534 2221 1754 2292
+6801 4 2 0 1 2077 2167 2091 2507
+6802 4 2 0 1 1678 2493 2016 2664
+6803 4 2 0 1 1944 2057 1803 2462
+6804 4 2 0 1 1533 1802 2270 2504
+6805 4 2 0 1 901 2070 2137 2287
+6806 4 2 0 1 1694 2156 1947 2189
+6807 4 2 0 1 1637 1921 1821 2749
+6808 4 2 0 1 1606 2170 1913 2642
+6809 4 2 0 1 1767 2676 2164 2807
+6810 4 2 0 1 1773 2098 1882 2249
+6811 4 2 0 1 885 936 949 1961
+6812 4 2 0 1 1560 1893 1824 2199
+6813 4 2 0 1 1562 1770 2286 2823
+6814 4 2 0 1 602 538 605 1799
+6815 4 2 0 1 1685 2265 1785 2718
+6816 4 2 0 1 2162 2421 2382 2738
+6817 4 2 0 1 1086 2518 2594 2603
+6818 4 2 0 1 1580 2615 2351 2754
+6819 4 2 0 1 1342 1780 1177 2512
+6820 4 2 0 1 1629 2106 1816 2502
+6821 4 2 0 1 1779 1588 2088 2164
+6822 4 2 0 1 212 1939 2123 2489
+6823 4 2 0 1 1826 2034 1580 2529
+6824 4 2 0 1 1710 2594 2518 2603
+6825 4 2 0 1 1645 2063 2039 2600
+6826 4 2 0 1 1108 2095 2043 2518
+6827 4 2 0 1 1047 1101 2060 2491
+6828 4 2 0 1 1368 1517 1235 2507
+6829 4 2 0 1 770 854 1860 2161
+6830 4 2 0 1 1564 1753 1920 2699
+6831 4 2 0 1 2016 2033 1337 2667
+6832 4 2 0 1 995 893 166 2278
+6833 4 2 0 1 1667 1790 2428 2771
+6834 4 2 0 1 626 515 451 2610
+6835 4 2 0 1 1154 1031 2170 2565
+6836 4 2 0 1 1525 1284 2135 2822
+6837 4 2 0 1 1941 2085 1768 2465
+6838 4 2 0 1 1150 2191 1775 2384
+6839 4 2 0 1 710 771 2436 2508
+6840 4 2 0 1 1764 2177 1554 2361
+6841 4 2 0 1 1588 1871 1779 2343
+6842 4 2 0 1 1622 2079 1923 2305
+6843 4 2 0 1 1216 1324 1340 2655
+6844 4 2 0 1 1924 2087 1456 2358
+6845 4 2 0 1 1570 1798 2072 2747
+6846 4 2 0 1 1637 1995 1912 2294
+6847 4 2 0 1 1686 2262 293 2516
+6848 4 2 0 1 2023 2389 2134 2832
+6849 4 2 0 1 141 1955 140 2277
+6850 4 2 0 1 1763 1876 2114 2509
+6851 4 2 0 1 1559 1862 1851 2731
+6852 4 2 0 1 1778 2027 1585 2030
+6853 4 2 0 1 274 1961 250 2086
+6854 4 2 0 1 1918 1722 2571 2607
+6855 4 2 0 1 1584 2019 2103 2675
+6856 4 2 0 1 306 1801 204 2744
+6857 4 2 0 1 1335 1230 1412 2721
+6858 4 2 0 1 1589 1731 2531 2558
+6859 4 2 0 1 1416 1267 1268 1708
+6860 4 2 0 1 1652 1949 1734 2141
+6861 4 2 0 1 1510 1511 1298 1872
+6862 4 2 0 1 1238 1386 1432 2008
+6863 4 2 0 1 150 1946 791 2628
+6864 4 2 0 1 2038 2090 1697 2662
+6865 4 2 0 1 176 339 309 2269
+6866 4 2 0 1 1682 1900 2482 2593
+6867 4 2 0 1 758 2288 1713 2585
+6868 4 2 0 1 1732 2004 1896 2748
+6869 4 2 0 1 1932 1962 1784 2623
+6870 4 2 0 1 2032 2230 1838 2678
+6871 4 2 0 1 935 1014 968 2589
+6872 4 2 0 1 1881 1648 2161 2643
+6873 4 2 0 1 1880 1747 2354 2547
+6874 4 2 0 1 1629 1855 2074 2501
+6875 4 2 0 1 2141 2169 1653 2728
+6876 4 2 0 1 1150 1031 1775 2170
+6877 4 2 0 1 1636 1987 1844 2470
+6878 4 2 0 1 1726 1786 2093 2283
+6879 4 2 0 1 1843 1591 2389 2832
+6880 4 2 0 1 756 806 2171 2631
+6881 4 2 0 1 1734 1949 2313 2723
+6882 4 2 0 1 2152 2385 2160 2616
+6883 4 2 0 1 1638 2234 1759 2515
+6884 4 2 0 1 1987 2072 1691 2470
+6885 4 2 0 1 1970 2270 1802 2504
+6886 4 2 0 1 2199 2245 1804 2707
+6887 4 2 0 1 1831 2481 2359 2569
+6888 4 2 0 1 1572 1788 1923 2276
+6889 4 2 0 1 482 478 1927 2049
+6890 4 2 0 1 535 566 2197 2419
+6891 4 2 0 1 1300 2301 1837 2740
+6892 4 2 0 1 1711 2509 1853 2817
+6893 4 2 0 1 762 1890 725 2451
+6894 4 2 0 1 675 2569 2260 2672
+6895 4 2 0 1 1569 1851 1966 2423
+6896 4 2 0 1 1611 1856 2527 2602
+6897 4 2 0 1 1223 1924 1788 2475
+6898 4 2 0 1 1609 1887 1840 2195
+6899 4 2 0 1 2015 2300 1888 2806
+6900 4 2 0 1 165 893 957 1797
+6901 4 2 0 1 1692 2037 2000 2370
+6902 4 2 0 1 783 769 717 2186
+6903 4 2 0 1 1592 2321 2046 2761
+6904 4 2 0 1 216 392 302 1823
+6905 4 2 0 1 1739 2116 1701 2311
+6906 4 2 0 1 1194 2177 1764 2822
+6907 4 2 0 1 1643 1946 2331 2793
+6908 4 2 0 1 1322 2012 2284 2441
+6909 4 2 0 1 1565 1885 2322 2801
+6910 4 2 0 1 1701 2311 2038 2437
+6911 4 2 0 1 1671 2230 2313 2427
+6912 4 2 0 1 1321 1774 2453 2455
+6913 4 2 0 1 1320 1944 1452 2462
+6914 4 2 0 1 2041 2485 716 2666
+6915 4 2 0 1 1822 1855 763 2378
+6916 4 2 0 1 1539 1708 2022 2223
+6917 4 2 0 1 1965 2147 1670 2791
+6918 4 2 0 1 1795 2726 2621 2757
+6919 4 2 0 1 1729 2523 1793 2637
+6920 4 2 0 1 1968 2250 1949 2790
+6921 4 2 0 1 1791 1938 1541 2143
+6922 4 2 0 1 540 611 583 2294
+6923 4 2 0 1 2075 2191 1711 2384
+6924 4 2 0 1 1575 2039 1975 2544
+6925 4 2 0 1 1864 2541 2170 2584
+6926 4 2 0 1 2041 2379 716 2485
+6927 4 2 0 1 1771 2385 2644 2742
+6928 4 2 0 1 1575 2119 2114 2509
+6929 4 2 0 1 1859 2671 2647 2699
+6930 4 2 0 1 1597 1833 2150 2506
+6931 4 2 0 1 2084 2376 2052 2676
+6932 4 2 0 1 1614 2274 2064 2416
+6933 4 2 0 1 213 1897 2020 2472
+6934 4 2 0 1 1647 1919 1768 2465
+6935 4 2 0 1 274 2107 2086 2612
+6936 4 2 0 1 1602 2090 1861 2185
+6937 4 2 0 1 1676 2237 1859 2352
+6938 4 2 0 1 1923 1924 1788 2441
+6939 4 2 0 1 2298 2353 1732 2795
+6940 4 2 0 1 692 803 1942 2288
+6941 4 2 0 1 1839 2361 1771 2784
+6942 4 2 0 1 1859 1619 2237 2669
+6943 4 2 0 1 1923 2079 1693 2372
+6944 4 2 0 1 1776 1648 2079 2649
+6945 4 2 0 1 1814 2224 2158 2738
+6946 4 2 0 1 1805 2254 2383 2668
+6947 4 2 0 1 1171 2095 1108 2518
+6948 4 2 0 1 1951 2182 1640 2335
+6949 4 2 0 1 1569 2113 1980 2590
+6950 4 2 0 1 1579 1798 1935 2072
+6951 4 2 0 1 274 2086 483 2612
+6952 4 2 0 1 1527 1928 2032 2296
+6953 4 2 0 1 805 1826 2034 2307
+6954 4 2 0 1 1924 2475 1311 2484
+6955 4 2 0 1 1568 1963 1762 2167
+6956 4 2 0 1 1574 2308 1750 2538
+6957 4 2 0 1 1783 2050 1750 2538
+6958 4 2 0 1 1633 1762 1963 2243
+6959 4 2 0 1 1601 1728 2227 2479
+6960 4 2 0 1 1919 2176 1768 2465
+6961 4 2 0 1 1153 1661 1994 2582
+6962 4 2 0 1 1305 1372 1442 2016
+6963 4 2 0 1 1607 2026 1984 2686
+6964 4 2 0 1 1900 1970 1835 2364
+6965 4 2 0 1 779 1826 2055 2529
+6966 4 2 0 1 2000 2320 2111 2834
+6967 4 2 0 1 1661 2229 2095 2232
+6968 4 2 0 1 1554 2361 1771 2385
+6969 4 2 0 1 1082 1019 2384 2570
+6970 4 2 0 1 1369 1217 2042 2579
+6971 4 2 0 1 594 675 2260 2672
+6972 4 2 0 1 1646 2522 1901 2716
+6973 4 2 0 1 2059 2071 1838 2756
+6974 4 2 0 1 1430 1360 1828 2104
+6975 4 2 0 1 884 2461 888 2589
+6976 4 2 0 1 1982 2200 209 2446
+6977 4 2 0 1 1564 1801 2242 2597
+6978 4 2 0 1 1553 2220 2206 2782
+6979 4 2 0 1 854 1860 816 2638
+6980 4 2 0 1 1734 1949 1652 2790
+6981 4 2 0 1 1676 1753 2352 2699
+6982 4 2 0 1 351 1879 372 2333
+6983 4 2 0 1 891 2495 2494 2561
+6984 4 2 0 1 1613 1980 2373 2633
+6985 4 2 0 1 1878 1666 2249 2440
+6986 4 2 0 1 874 1803 915 2233
+6987 4 2 0 1 1551 1811 2532 2547
+6988 4 2 0 1 1724 2165 1771 2644
+6989 4 2 0 1 1698 2181 2019 2549
+6990 4 2 0 1 652 1972 1869 2777
+6991 4 2 0 1 726 1757 776 2628
+6992 4 2 0 1 511 1849 2567 2685
+6993 4 2 0 1 1816 2030 1778 2776
+6994 4 2 0 1 1030 1176 1036 1870
+6995 4 2 0 1 1528 1812 1911 2510
+6996 4 2 0 1 1531 2249 1836 2505
+6997 4 2 0 1 515 2359 451 2610
+6998 4 2 0 1 594 2260 1845 2672
+6999 4 2 0 1 1839 2385 1703 2439
+7000 4 2 0 1 1358 1348 1357 2076
+7001 4 2 0 1 299 183 1859 2669
+7002 4 2 0 1 1660 2039 1981 2505
+7003 4 2 0 1 1603 2189 1947 2357
+7004 4 2 0 1 706 1936 812 2099
+7005 4 2 0 1 2004 2680 2362 2748
+7006 4 2 0 1 1773 2386 2063 2549
+7007 4 2 0 1 1367 1320 1452 2462
+7008 4 2 0 1 1898 2428 1790 2771
+7009 4 2 0 1 754 1933 2171 2596
+7010 4 2 0 1 2050 2220 1783 2348
+7011 4 2 0 1 1970 1802 2270 2364
+7012 4 2 0 1 1118 1078 1166 2564
+7013 4 2 0 1 1617 2060 1745 2410
+7014 4 2 0 1 1775 2191 2075 2384
+7015 4 2 0 1 1736 1813 2399 2417
+7016 4 2 0 1 2195 2356 1901 2434
+7017 4 2 0 1 1782 1574 2024 2526
+7018 4 2 0 1 1468 1460 1477 2724
+7019 4 2 0 1 551 2069 2393 2469
+7020 4 2 0 1 1754 1847 1600 2495
+7021 4 2 0 1 1395 1221 1388 1731
+7022 4 2 0 1 771 2436 1718 2714
+7023 4 2 0 1 1617 1836 2238 2368
+7024 4 2 0 1 202 353 347 1816
+7025 4 2 0 1 1430 1185 1360 2104
+7026 4 2 0 1 1637 1821 2194 2749
+7027 4 2 0 1 1657 2002 1997 2449
+7028 4 2 0 1 306 2030 2190 2744
+7029 4 2 0 1 1454 1276 2205 2513
+7030 4 2 0 1 2108 2218 1640 2719
+7031 4 2 0 1 1923 2079 1622 2329
+7032 4 2 0 1 1733 2084 2052 2676
+7033 4 2 0 1 240 186 1761 2127
+7034 4 2 0 1 1588 1736 2200 2632
+7035 4 2 0 1 1486 1189 1707 2640
+7036 4 2 0 1 1324 1227 2013 2324
+7037 4 2 0 1 1018 2138 2191 2594
+7038 4 2 0 1 147 847 724 1794
+7039 4 2 0 1 1565 2322 2008 2801
+7040 4 2 0 1 1892 2110 2373 2829
+7041 4 2 0 1 2040 2108 1795 2578
+7042 4 2 0 1 1947 2156 1631 2189
+7043 4 2 0 1 1544 2226 2625 2800
+7044 4 2 0 1 903 996 891 2049
+7045 4 2 0 1 1852 2334 2231 2373
+7046 4 2 0 1 1738 2486 2048 2836
+7047 4 2 0 1 1586 2300 1784 2388
+7048 4 2 0 1 1397 1425 1228 2770
+7049 4 2 0 1 888 2461 2129 2589
+7050 4 2 0 1 1923 1924 1622 2305
+7051 4 2 0 1 342 334 357 2268
+7052 4 2 0 1 1320 1452 1944 2720
+7053 4 2 0 1 1621 1957 1757 2089
+7054 4 2 0 1 316 2130 1699 2601
+7055 4 2 0 1 520 1800 444 2409
+7056 4 2 0 1 1708 1539 2022 2232
+7057 4 2 0 1 1616 1708 2552 2755
+7058 4 2 0 1 1720 2062 519 2624
+7059 4 2 0 1 991 897 945 2461
+7060 4 2 0 1 1571 1785 2204 2634
+7061 4 2 0 1 157 843 723 2135
+7062 4 2 0 1 444 1877 509 2153
+7063 4 2 0 1 1667 2061 1832 2588
+7064 4 2 0 1 537 576 580 1995
+7065 4 2 0 1 1691 1784 2300 2388
+7066 4 2 0 1 1339 2383 2076 2668
+7067 4 2 0 1 1877 2153 1977 2567
+7068 4 2 0 1 1144 1041 1688 2458
+7069 4 2 0 1 1754 2035 1929 2259
+7070 4 2 0 1 1294 716 2379 2485
+7071 4 2 0 1 624 555 1912 2281
+7072 4 2 0 1 1834 2013 1227 2324
+7073 4 2 0 1 1545 2437 2031 2809
+7074 4 2 0 1 655 1766 681 2192
+7075 4 2 0 1 1939 2134 1737 2468
+7076 4 2 0 1 1753 1980 2080 2590
+7077 4 2 0 1 845 2087 1488 2131
+7078 4 2 0 1 1954 2220 1553 2415
+7079 4 2 0 1 213 2020 406 2472
+7080 4 2 0 1 804 813 1752 2267
+7081 4 2 0 1 794 1933 1264 2171
+7082 4 2 0 1 1841 1653 2141 2314
+7083 4 2 0 1 360 1895 354 2366
+7084 4 2 0 1 959 2057 923 2241
+7085 4 2 0 1 1664 2070 2158 2188
+7086 4 2 0 1 1768 1966 2176 2517
+7087 4 2 0 1 1547 1742 1968 2500
+7088 4 2 0 1 1217 2013 1374 2042
+7089 4 2 0 1 804 1752 825 2288
+7090 4 2 0 1 780 747 707 2436
+7091 4 2 0 1 1941 2402 2121 2460
+7092 4 2 0 1 653 145 682 1726
+7093 4 2 0 1 647 1825 600 2192
+7094 4 2 0 1 1553 1758 2415 2749
+7095 4 2 0 1 2047 2198 1663 2463
+7096 4 2 0 1 628 1955 574 2456
+7097 4 2 0 1 1198 1995 1359 2294
+7098 4 2 0 1 1972 2175 1815 2236
+7099 4 2 0 1 2046 2321 601 2761
+7100 4 2 0 1 1857 2044 1638 2325
+7101 4 2 0 1 2047 2252 1734 2313
+7102 4 2 0 1 330 2200 209 2328
+7103 4 2 0 1 1684 2032 1928 2296
+7104 4 2 0 1 2222 2298 200 2741
+7105 4 2 0 1 306 204 1801 2190
+7106 4 2 0 1 1316 2094 1935 2420
+7107 4 2 0 1 1677 2046 1897 2330
+7108 4 2 0 1 1335 2091 1762 2721
+7109 4 2 0 1 134 569 1815 1960
+7110 4 2 0 1 1700 1868 2256 2618
+7111 4 2 0 1 2422 2488 1111 2626
+7112 4 2 0 1 1782 1916 1532 2210
+7113 4 2 0 1 1545 2401 1833 2809
+7114 4 2 0 1 1005 2287 868 2591
+7115 4 2 0 1 1569 1983 1918 2517
+7116 4 2 0 1 1647 2085 1941 2465
+7117 4 2 0 1 461 448 179 1875
+7118 4 2 0 1 1597 1958 1833 2506
+7119 4 2 0 1 1397 2148 1425 2770
+7120 4 2 0 1 1733 2446 295 2574
+7121 4 2 0 1 1590 2270 1850 2528
+7122 4 2 0 1 1633 1762 1992 2340
+7123 4 2 0 1 1940 2478 2003 2604
+7124 4 2 0 1 1724 2115 1771 2165
+7125 4 2 0 1 795 818 709 1765
+7126 4 2 0 1 2232 2552 1708 2563
+7127 4 2 0 1 261 2533 1884 2658
+7128 4 2 0 1 1545 2031 2437 2807
+7129 4 2 0 1 1929 2035 1754 2172
+7130 4 2 0 1 1630 1845 2192 2786
+7131 4 2 0 1 1657 2113 2449 2568
+7132 4 2 0 1 456 1850 340 2159
+7133 4 2 0 1 1879 2333 208 2574
+7134 4 2 0 1 1776 2041 700 2375
+7135 4 2 0 1 1589 1672 2102 2208
+7136 4 2 0 1 1598 1773 1928 2440
+7137 4 2 0 1 1302 1315 1187 2383
+7138 4 2 0 1 1082 2384 1863 2570
+7139 4 2 0 1 1608 1791 2266 2334
+7140 4 2 0 1 1452 2462 1944 2720
+7141 4 2 0 1 1786 2093 1916 2443
+7142 4 2 0 1 1782 1542 2024 2693
+7143 4 2 0 1 1569 2423 1716 2490
+7144 4 2 0 1 381 386 431 2207
+7145 4 2 0 1 163 981 2035 2734
+7146 4 2 0 1 1540 1736 2071 2417
+7147 4 2 0 1 1641 1867 1811 2304
+7148 4 2 0 1 1117 2179 1053 2522
+7149 4 2 0 1 780 1855 848 2436
+7150 4 2 0 1 1606 1864 2170 2642
+7151 4 2 0 1 423 194 512 2173
+7152 4 2 0 1 1937 1984 1607 2724
+7153 4 2 0 1 1634 2376 2159 2528
+7154 4 2 0 1 2150 2239 1833 2682
+7155 4 2 0 1 1806 2004 1945 2418
+7156 4 2 0 1 354 1895 178 2489
+7157 4 2 0 1 1775 2170 1031 2565
+7158 4 2 0 1 1302 2383 1805 2531
+7159 4 2 0 1 2344 2350 1596 2745
+7160 4 2 0 1 1736 2185 419 2200
+7161 4 2 0 1 182 2190 2030 2211
+7162 4 2 0 1 1901 1660 2505 2600
+7163 4 2 0 1 147 1794 724 2131
+7164 4 2 0 1 1578 1884 1955 2124
+7165 4 2 0 1 1820 2022 1708 2289
+7166 4 2 0 1 759 2099 1740 2677
+7167 4 2 0 1 747 837 2068 2106
+7168 4 2 0 1 1538 2402 2460 2794
+7169 4 2 0 1 1325 1411 1361 2012
+7170 4 2 0 1 1543 2660 2083 2792
+7171 4 2 0 1 1701 2437 2038 2698
+7172 4 2 0 1 1662 2093 1726 2212
+7173 4 2 0 1 1557 1746 2768 2814
+7174 4 2 0 1 1266 1708 1267 2563
+7175 4 2 0 1 929 1832 931 2073
+7176 4 2 0 1 763 1855 1822 2436
+7177 4 2 0 1 1225 1309 1339 2668
+7178 4 2 0 1 1594 1737 2134 2468
+7179 4 2 0 1 1897 2020 1668 2827
+7180 4 2 0 1 1662 2100 2093 2443
+7181 4 2 0 1 1695 2298 2222 2741
+7182 4 2 0 1 1754 1929 1603 2561
+7183 4 2 0 1 1627 2235 1912 2497
+7184 4 2 0 1 1291 1008 919 2775
+7185 4 2 0 1 1726 2212 1786 2283
+7186 4 2 0 1 1298 2241 1872 2383
+7187 4 2 0 1 1541 1791 2143 2602
+7188 4 2 0 1 1537 2386 2019 2549
+7189 4 2 0 1 1720 1848 2166 2575
+7190 4 2 0 1 423 2173 2225 2554
+7191 4 2 0 1 1738 2319 2176 2423
+7192 4 2 0 1 1171 2095 2518 2603
+7193 4 2 0 1 1224 1511 973 2715
+7194 4 2 0 1 170 1904 270 2092
+7195 4 2 0 1 1915 2147 1965 2791
+7196 4 2 0 1 295 311 484 1733
+7197 4 2 0 1 1559 1999 1793 2160
+7198 4 2 0 1 1902 1983 1676 2669
+7199 4 2 0 1 1699 2726 2621 2805
+7200 4 2 0 1 1528 2486 1911 2650
+7201 4 2 0 1 1756 2315 2083 2792
+7202 4 2 0 1 708 817 2596 2677
+7203 4 2 0 1 1507 1525 1501 157
+7204 4 2 0 1 1548 1971 1755 2208
+7205 4 2 0 1 649 2192 1845 2786
+7206 4 2 0 1 193 524 2209 2477
+7207 4 2 0 1 1906 2608 1908 2780
+7208 4 2 0 1 1232 2012 1322 2441
+7209 4 2 0 1 1612 2000 2111 2429
+7210 4 2 0 1 508 2217 2017 2635
+7211 4 2 0 1 1928 2440 2214 2820
+7212 4 2 0 1 333 2399 2207 2472
+7213 4 2 0 1 958 2327 278 2576
+7214 4 2 0 1 1882 2103 1684 2675
+7215 4 2 0 1 1809 2400 1948 2530
+7216 4 2 0 1 1576 2043 1959 2810
+7217 4 2 0 1 1654 2096 1805 2558
+7218 4 2 0 1 305 307 319 2571
+7219 4 2 0 1 1638 2325 2044 2512
+7220 4 2 0 1 1575 2114 2119 2817
+7221 4 2 0 1 783 717 776 1757
+7222 4 2 0 1 1681 1819 2613 2768
+7223 4 2 0 1 531 1845 649 2192
+7224 4 2 0 1 1532 1891 2343 2546
+7225 4 2 0 1 1564 2701 1920 2829
+7226 4 2 0 1 1072 2054 1132 2626
+7227 4 2 0 1 1785 1621 2204 2634
+7228 4 2 0 1 1882 2063 1773 2249
+7229 4 2 0 1 1765 2501 1855 2585
+7230 4 2 0 1 1503 2051 1244 2615
+7231 4 2 0 1 1975 2119 1055 2570
+7232 4 2 0 1 1544 1721 2188 2625
+7233 4 2 0 1 1671 2313 2047 2427
+7234 4 2 0 1 1800 2409 520 2826
+7235 4 2 0 1 448 1875 461 2086
+7236 4 2 0 1 1541 2143 1804 2602
+7237 4 2 0 1 1211 1484 907 2081
+7238 4 2 0 1 1035 1913 2170 2642
+7239 4 2 0 1 661 681 593 1766
+7240 4 2 0 1 1802 2364 2031 2807
+7241 4 2 0 1 822 1810 742 2722
+7242 4 2 0 1 151 2523 2109 2628
+7243 4 2 0 1 1612 2018 1808 2033
+7244 4 2 0 1 1537 2142 1963 2214
+7245 4 2 0 1 949 862 2477 2637
+7246 4 2 0 1 557 621 534 2330
+7247 4 2 0 1 1647 1768 2085 2465
+7248 4 2 0 1 757 2068 468 2144
+7249 4 2 0 1 1943 1971 1601 2402
+7250 4 2 0 1 1537 2019 1773 2214
+7251 4 2 0 1 1746 2218 2108 2719
+7252 4 2 0 1 1775 2040 1606 2535
+7253 4 2 0 1 1667 2248 2125 2588
+7254 4 2 0 1 1643 1877 1849 2685
+7255 4 2 0 1 2239 2447 2027 2837
+7256 4 2 0 1 1567 1899 2139 2481
+7257 4 2 0 1 583 2294 2132 2393
+7258 4 2 0 1 2013 2042 1217 2579
+7259 4 2 0 1 1730 2104 1639 2215
+7260 4 2 0 1 1567 2207 1813 2580
+7261 4 2 0 1 2142 2214 1537 2440
+7262 4 2 0 1 1594 2517 1918 2607
+7263 4 2 0 1 1708 2021 1267 2563
+7264 4 2 0 1 1602 1969 1767 2807
+7265 4 2 0 1 2275 2751 1893 2770
+7266 4 2 0 1 547 2046 1831 2256
+7267 4 2 0 1 1233 1742 1199 2507
+7268 4 2 0 1 1958 1530 2183 2471
+7269 4 2 0 1 1582 1757 1957 2089
+7270 4 2 0 1 1656 2108 2006 2548
+7271 4 2 0 1 1845 2139 1700 2260
+7272 4 2 0 1 235 456 2002 2159
+7273 4 2 0 1 1657 2080 1850 2270
+7274 4 2 0 1 1831 1700 2481 2569
+7275 4 2 0 1 2042 2077 1663 2573
+7276 4 2 0 1 926 2125 924 2553
+7277 4 2 0 1 1723 2488 2422 2626
+7278 4 2 0 1 1581 2432 1740 2659
+7279 4 2 0 1 1782 2506 2150 2693
+7280 4 2 0 1 1081 2119 1143 2255
+7281 4 2 0 1 325 356 1813 2328
+7282 4 2 0 1 1646 2303 2264 2339
+7283 4 2 0 1 1651 1938 2257 2520
+7284 4 2 0 1 1558 1822 1881 2643
+7285 4 2 0 1 957 1797 893 2137
+7286 4 2 0 1 1876 2181 1887 2617
+7287 4 2 0 1 1071 1787 1133 2056
+7288 4 2 0 1 1777 1900 1625 2296
+7289 4 2 0 1 2003 2286 1770 2604
+7290 4 2 0 1 1329 1188 2284 2324
+7291 4 2 0 1 565 576 1995 2131
+7292 4 2 0 1 926 1817 964 2248
+7293 4 2 0 1 1632 1876 2273 2617
+7294 4 2 0 1 2080 2270 1802 2528
+7295 4 2 0 1 424 2225 1823 2554
+7296 4 2 0 1 606 1786 618 2212
+7297 4 2 0 1 1637 2132 2194 2467
+7298 4 2 0 1 2322 2351 1974 2783
+7299 4 2 0 1 1614 2182 1721 2537
+7300 4 2 0 1 1560 2257 2290 2707
+7301 4 2 0 1 1621 2307 1826 2363
+7302 4 2 0 1 634 529 603 1841
+7303 4 2 0 1 1401 1893 1426 2770
+7304 4 2 0 1 1664 2221 2172 2700
+7305 4 2 0 1 1334 1462 1212 2420
+7306 4 2 0 1 962 1832 2248 2365
+7307 4 2 0 1 1648 2079 1860 2360
+7308 4 2 0 1 1610 1724 2115 2385
+7309 4 2 0 1 1761 240 2127 2612
+7310 4 2 0 1 2168 2311 1739 2437
+7311 4 2 0 1 2267 2316 1690 2498
+7312 4 2 0 1 1840 1623 2551 2617
+7313 4 2 0 1 1936 2041 1776 2736
+7314 4 2 0 1 339 2156 309 2269
+7315 4 2 0 1 1910 2218 1557 2764
+7316 4 2 0 1 1674 2017 1905 2645
+7317 4 2 0 1 2153 2539 350 2639
+7318 4 2 0 1 1730 2342 1437 2724
+7319 4 2 0 1 1138 1930 272 2349
+7320 4 2 0 1 1897 1668 2618 2827
+7321 4 2 0 1 1613 2110 1851 2633
+7322 4 2 0 1 1346 1336 1834 2337
+7323 4 2 0 1 1598 2193 1734 2678
+7324 4 2 0 1 1878 1568 2047 2167
+7325 4 2 0 1 1777 1611 2143 2796
+7326 4 2 0 1 456 340 366 2159
+7327 4 2 0 1 1564 2671 1859 2699
+7328 4 2 0 1 1582 1849 1993 2403
+7329 4 2 0 1 1780 1922 1556 2016
+7330 4 2 0 1 1386 1448 1432 1906
+7331 4 2 0 1 2083 2660 1756 2792
+7332 4 2 0 1 1599 1817 2261 2778
+7333 4 2 0 1 360 178 354 1895
+7334 4 2 0 1 314 300 1778 2211
+7335 4 2 0 1 1563 1770 2098 2391
+7336 4 2 0 1 1585 2239 1778 2653
+7337 4 2 0 1 1331 1309 2076 2740
+7338 4 2 0 1 1559 1800 2490 2793
+7339 4 2 0 1 1734 2175 2141 2193
+7340 4 2 0 1 1881 2508 775 2555
+7341 4 2 0 1 2114 2509 1711 2817
+7342 4 2 0 1 1697 2157 1903 2779
+7343 4 2 0 1 1578 1916 1950 2443
+7344 4 2 0 1 1556 2078 1852 2765
+7345 4 2 0 1 1873 2251 1754 2492
+7346 4 2 0 1 1735 2179 1869 2434
+7347 4 2 0 1 1726 2425 682 2497
+7348 4 2 0 1 1538 1962 1844 2078
+7349 4 2 0 1 1135 1120 1975 2491
+7350 4 2 0 1 1802 1920 2080 2528
+7351 4 2 0 1 1675 2471 1958 2750
+7352 4 2 0 1 1512 1251 2822 2835
+7353 4 2 0 1 1851 2110 1613 2487
+7354 4 2 0 1 1748 2158 1548 2636
+7355 4 2 0 1 485 508 2017 2635
+7356 4 2 0 1 1263 1810 1290 2722
+7357 4 2 0 1 1087 2202 1846 2570
+7358 4 2 0 1 2096 2254 1805 2708
+7359 4 2 0 1 227 358 2468 2489
+7360 4 2 0 1 1732 2680 2004 2748
+7361 4 2 0 1 1771 2115 1724 2385
+7362 4 2 0 1 1877 1977 1582 2567
+7363 4 2 0 1 313 2353 2298 2795
+7364 4 2 0 1 548 661 593 2246
+7365 4 2 0 1 414 2097 367 2821
+7366 4 2 0 1 1747 2074 1953 2547
+7367 4 2 0 1 1578 1905 2457 2705
+7368 4 2 0 1 1564 1917 1880 2118
+7369 4 2 0 1 1784 1962 1586 2388
+7370 4 2 0 1 1561 2013 1834 2746
+7371 4 2 0 1 966 2542 1894 2695
+7372 4 2 0 1 540 1825 2281 2393
+7373 4 2 0 1 559 2283 1934 2536
+7374 4 2 0 1 2236 2728 1815 2745
+7375 4 2 0 1 2140 2274 1021 2346
+7376 4 2 0 1 1586 1835 2309 2369
+7377 4 2 0 1 1757 1957 1621 2307
+7378 4 2 0 1 1209 1372 1678 2493
+7379 4 2 0 1 511 2338 1849 2685
+7380 4 2 0 1 1753 2352 2110 2431
+7381 4 2 0 1 1963 2214 2142 2440
+7382 4 2 0 1 618 613 2345 2536
+7383 4 2 0 1 2345 2443 1786 2802
+7384 4 2 0 1 466 2209 1800 2826
+7385 4 2 0 1 1571 2265 1991 2347
+7386 4 2 0 1 764 823 2045 2253
+7387 4 2 0 1 2138 2518 1710 2594
+7388 4 2 0 1 1699 2228 1978 2601
+7389 4 2 0 1 2205 2265 1933 2557
+7390 4 2 0 1 1650 1782 2150 2693
+7391 4 2 0 1 406 2020 2399 2472
+7392 4 2 0 1 1539 1853 2114 2509
+7393 4 2 0 1 1585 2030 1801 2190
+7394 4 2 0 1 1534 2172 1754 2221
+7395 4 2 0 1 2111 2320 1612 2429
+7396 4 2 0 1 2032 2038 1701 2311
+7397 4 2 0 1 665 1828 651 2053
+7398 4 2 0 1 1205 1787 1049 2339
+7399 4 2 0 1 1697 2157 1989 2355
+7400 4 2 0 1 1746 1557 2218 2814
+7401 4 2 0 1 202 1816 347 2635
+7402 4 2 0 1 1859 2153 183 2639
+7403 4 2 0 1 2023 2134 1591 2832
+7404 4 2 0 1 841 143 727 2120
+7405 4 2 0 1 1662 1881 2161 2377
+7406 4 2 0 1 2064 2182 1688 2274
+7407 4 2 0 1 1894 2444 1790 2542
+7408 4 2 0 1 143 2120 2212 2687
+7409 4 2 0 1 1554 2177 1808 2592
+7410 4 2 0 1 1780 1885 1638 2512
+7411 4 2 0 1 524 516 1946 2477
+7412 4 2 0 1 1409 2381 1824 2493
+7413 4 2 0 1 413 234 377 2066
+7414 4 2 0 1 1564 2242 1880 2597
+7415 4 2 0 1 1538 2411 2402 2794
+7416 4 2 0 1 1612 2320 2000 2834
+7417 4 2 0 1 1542 1923 1830 2372
+7418 4 2 0 1 1194 1764 2033 2835
+7419 4 2 0 1 574 1955 1884 2456
+7420 4 2 0 1 1894 2542 1790 2695
+7421 4 2 0 1 1821 1921 2415 2749
+7422 4 2 0 1 1727 2077 2042 2573
+7423 4 2 0 1 1593 2107 2280 2689
+7424 4 2 0 1 1593 2280 2061 2689
+7425 4 2 0 1 1003 1002 1790 2562
+7426 4 2 0 1 1563 2098 1770 2147
+7427 4 2 0 1 1764 2822 2051 2835
+7428 4 2 0 1 1918 2517 1722 2607
+7429 4 2 0 1 1728 2240 1945 2656
+7430 4 2 0 1 1955 2124 1884 2457
+7431 4 2 0 1 1146 286 1132 1904
+7432 4 2 0 1 2014 2577 1648 2717
+7433 4 2 0 1 1630 1934 2706 2786
+7434 4 2 0 1 653 145 1726 2638
+7435 4 2 0 1 254 2456 2124 2457
+7436 4 2 0 1 168 325 356 2399
+7437 4 2 0 1 524 1946 516 2209
+7438 4 2 0 1 1791 2271 1675 2334
+7439 4 2 0 1 516 264 2209 2338
+7440 4 2 0 1 850 2316 2267 2498
+7441 4 2 0 1 1652 2009 1949 2169
+7442 4 2 0 1 1754 2172 2035 2259
+7443 4 2 0 1 924 1016 870 2553
+7444 4 2 0 1 825 804 813 1752
+7445 4 2 0 1 1597 1865 1830 2308
+7446 4 2 0 1 1838 2193 1598 2678
+7447 4 2 0 1 1657 1997 1983 2691
+7448 4 2 0 1 915 2462 919 2775
+7449 4 2 0 1 1528 2048 1911 2486
+7450 4 2 0 1 1700 1831 2481 2618
+7451 4 2 0 1 2188 2625 1741 2800
+7452 4 2 0 1 2035 2172 1664 2259
+7453 4 2 0 1 1550 2293 1732 2568
+7454 4 2 0 1 1292 1202 1994 2582
+7455 4 2 0 1 926 930 1817 2553
+7456 4 2 0 1 1591 1843 2219 2832
+7457 4 2 0 1 1592 1897 1831 2618
+7458 4 2 0 1 2049 2494 1847 2495
+7459 4 2 0 1 1587 2126 2710 2828
+7460 4 2 0 1 936 1961 867 2073
+7461 4 2 0 1 1548 1971 1744 2480
+7462 4 2 0 1 1602 2185 1879 2333
+7463 4 2 0 1 1644 2297 2020 2438
+7464 4 2 0 1 1799 1949 1607 2009
+7465 4 2 0 1 1116 132 2350 2503
+7466 4 2 0 1 2095 2232 1710 2603
+7467 4 2 0 1 2041 1622 2485 2666
+7468 4 2 0 1 1564 2242 1801 2699
+7469 4 2 0 1 1859 2237 1619 2352
+7470 4 2 0 1 1989 2103 1882 2575
+7471 4 2 0 1 2030 2525 383 2776
+7472 4 2 0 1 1809 2450 2433 2533
+7473 4 2 0 1 1650 1916 2443 2682
+7474 4 2 0 1 1659 1778 2211 2397
+7475 4 2 0 1 1853 2114 1711 2710
+7476 4 2 0 1 1805 2096 1654 2254
+7477 4 2 0 1 976 1946 892 2523
+7478 4 2 0 1 1801 2190 2030 2744
+7479 4 2 0 1 1932 1784 2309 2623
+7480 4 2 0 1 1815 2236 2175 2728
+7481 4 2 0 1 2454 2572 2011 2746
+7482 4 2 0 1 1982 2200 1588 2328
+7483 4 2 0 1 2129 2160 1724 2461
+7484 4 2 0 1 1682 2296 2168 2311
+7485 4 2 0 1 1439 1798 1352 2387
+7486 4 2 0 1 1409 1824 2455 2493
+7487 4 2 0 1 2187 2291 1698 2648
+7488 4 2 0 1 1910 2058 1673 2362
+7489 4 2 0 1 147 847 1794 2497
+7490 4 2 0 1 274 483 265 2612
+7491 4 2 0 1 298 2397 1982 2446
+7492 4 2 0 1 1859 365 2153 2669
+7493 4 2 0 1 353 2066 1816 2525
+7494 4 2 0 1 1707 1797 2140 2625
+7495 4 2 0 1 716 2485 1294 2666
+7496 4 2 0 1 427 407 2097 2468
+7497 4 2 0 1 1590 2364 1802 2807
+7498 4 2 0 1 1590 2270 1802 2364
+7499 4 2 0 1 1677 1967 2380 2745
+7500 4 2 0 1 1618 1799 1973 2272
+7501 4 2 0 1 1247 2201 1399 2337
+7502 4 2 0 1 1881 2120 1662 2161
+7503 4 2 0 1 1663 2047 1968 2198
+7504 4 2 0 1 569 617 663 1815
+7505 4 2 0 1 540 2294 583 2393
+7506 4 2 0 1 1622 1908 1760 2329
+7507 4 2 0 1 431 451 515 2359
+7508 4 2 0 1 1486 1189 1256 2146
+7509 4 2 0 1 1820 2007 1570 2609
+7510 4 2 0 1 1596 2344 1990 2350
+7511 4 2 0 1 1708 2223 1539 2232
+7512 4 2 0 1 1716 2097 1918 2641
+7513 4 2 0 1 1449 1352 1222 1798
+7514 4 2 0 1 1912 1995 573 2294
+7515 4 2 0 1 1652 1949 2009 2250
+7516 4 2 0 1 1599 2261 1911 2778
+7517 4 2 0 1 1553 2206 1954 2415
+7518 4 2 0 1 1357 1872 1511 2715
+7519 4 2 0 1 939 2591 868 2715
+7520 4 2 0 1 1569 1983 2517 2590
+7521 4 2 0 1 1455 1820 1384 2387
+7522 4 2 0 1 1620 1717 2245 2340
+7523 4 2 0 1 302 1823 392 2262
+7524 4 2 0 1 1621 2204 1811 2304
+7525 4 2 0 1 2023 2127 1687 2679
+7526 4 2 0 1 1561 2050 2654 2746
+7527 4 2 0 1 755 2144 850 2267
+7528 4 2 0 1 557 581 279 2330
+7529 4 2 0 1 1085 2170 1775 2584
+7530 4 2 0 1 1373 1392 2358 2441
+7531 4 2 0 1 1765 2267 818 2585
+7532 4 2 0 1 1897 2756 2020 2827
+7533 4 2 0 1 916 947 914 2107
+7534 4 2 0 1 1644 2380 2391 2823
+7535 4 2 0 1 759 814 801 1740
+7536 4 2 0 1 1545 2164 2437 2809
+7537 4 2 0 1 1896 2130 1577 2624
+7538 4 2 0 1 1847 411 2366 2494
+7539 4 2 0 1 1698 2015 2082 2291
+7540 4 2 0 1 1536 2198 2047 2463
+7541 4 2 0 1 2002 2159 312 2407
+7542 4 2 0 1 154 828 153 2115
+7543 4 2 0 1 1720 2355 2262 2797
+7544 4 2 0 1 1745 2410 2733 2777
+7545 4 2 0 1 765 710 701 1822
+7546 4 2 0 1 1395 1376 1221 2720
+7547 4 2 0 1 1566 2553 2125 2778
+7548 4 2 0 1 763 808 1822 2378
+7549 4 2 0 1 1156 438 268 2128
+7550 4 2 0 1 1596 1990 2344 2745
+7551 4 2 0 1 1821 2415 2194 2749
+7552 4 2 0 1 1770 2193 1838 2823
+7553 4 2 0 1 1922 2044 1651 2493
+7554 4 2 0 1 1556 1938 1986 2231
+7555 4 2 0 1 1577 2166 1925 2774
+7556 4 2 0 1 1711 2384 2594 2769
+7557 4 2 0 1 1803 2499 1731 2720
+7558 4 2 0 1 1858 2347 1743 2659
+7559 4 2 0 1 1542 1726 2093 2235
+7560 4 2 0 1 252 272 1930 2349
+7561 4 2 0 1 1683 1818 2572 2798
+7562 4 2 0 1 678 2260 545 2569
+7563 4 2 0 1 1747 1880 2447 2597
+7564 4 2 0 1 1526 1525 1284 2135
+7565 4 2 0 1 1817 1889 1628 2233
+7566 4 2 0 1 1702 2067 1899 2580
+7567 4 2 0 1 1635 1941 2121 2460
+7568 4 2 0 1 1594 2134 1939 2468
+7569 4 2 0 1 626 1725 2359 2610
+7570 4 2 0 1 1732 2748 1896 2795
+7571 4 2 0 1 1893 1633 2550 2770
+7572 4 2 0 1 1654 1805 1944 2558
+7573 4 2 0 1 1527 2032 2116 2311
+7574 4 2 0 1 911 1872 973 2241
+7575 4 2 0 1 1532 2343 1891 2430
+7576 4 2 0 1 1672 2208 2133 2668
+7577 4 2 0 1 1543 1848 2083 2726
+7578 4 2 0 1 1620 2245 1717 2599
+7579 4 2 0 1 560 1841 603 2169
+7580 4 2 0 1 1668 2481 1831 2618
+7581 4 2 0 1 1778 2776 300 2815
+7582 4 2 0 1 724 847 729 2087
+7583 4 2 0 1 703 743 773 1993
+7584 4 2 0 1 655 1766 2192 2663
+7585 4 2 0 1 341 337 2559 2601
+7586 4 2 0 1 225 450 226 2679
+7587 4 2 0 1 1544 2182 1827 2537
+7588 4 2 0 1 1586 1932 1835 1970
+7589 4 2 0 1 1908 2608 1769 2780
+7590 4 2 0 1 1557 2764 2218 2814
+7591 4 2 0 1 1733 2211 2446 2653
+7592 4 2 0 1 1903 2657 2407 2741
+7593 4 2 0 1 765 1822 808 2253
+7594 4 2 0 1 362 2049 244 2494
+7595 4 2 0 1 802 809 1855 2028
+7596 4 2 0 1 399 242 2472 2560
+7597 4 2 0 1 2346 2474 1707 2619
+7598 4 2 0 1 1054 165 2140 2278
+7599 4 2 0 1 1092 1087 1029 1846
+7600 4 2 0 1 1918 2517 1983 2691
+7601 4 2 0 1 1571 2347 1740 2432
+7602 4 2 0 1 1607 2009 1949 2250
+7603 4 2 0 1 1897 2020 1644 2297
+7604 4 2 0 1 794 748 835 1933
+7605 4 2 0 1 2173 2225 1723 2818
+7606 4 2 0 1 829 725 762 2684
+7607 4 2 0 1 1900 2103 1552 2369
+7608 4 2 0 1 1759 2266 1998 2476
+7609 4 2 0 1 2102 2208 1672 2411
+7610 4 2 0 1 1592 2314 1841 2380
+7611 4 2 0 1 1774 2201 2455 2737
+7612 4 2 0 1 1754 2221 1873 2492
+7613 4 2 0 1 1548 2254 1755 2511
+7614 4 2 0 1 276 1961 477 2107
+7615 4 2 0 1 1241 1371 1234 2263
+7616 4 2 0 1 1638 1986 1938 2476
+7617 4 2 0 1 1511 1348 1298 1872
+7618 4 2 0 1 1549 2414 2273 2716
+7619 4 2 0 1 1548 2254 2096 2708
+7620 4 2 0 1 1654 1944 2096 2558
+7621 4 2 0 1 1767 1879 2164 2676
+7622 4 2 0 1 1811 2089 1621 2304
+7623 4 2 0 1 175 471 453 1792
+7624 4 2 0 1 511 1849 2338 2692
+7625 4 2 0 1 1593 2086 1961 2107
+7626 4 2 0 1 794 835 1264 1933
+7627 4 2 0 1 1280 1937 1207 2053
+7628 4 2 0 1 526 885 521 282
+7629 4 2 0 1 1599 1889 2152 2365
+7630 4 2 0 1 678 545 2260 2400
+7631 4 2 0 1 964 2248 1817 2365
+7632 4 2 0 1 729 1860 695 2375
+7633 4 2 0 1 1564 1867 2352 2671
+7634 4 2 0 1 1125 1763 1088 2414
+7635 4 2 0 1 276 885 521 1961
+7636 4 2 0 1 1568 2167 2077 2573
+7637 4 2 0 1 845 724 2087 2131
+7638 4 2 0 1 1625 2296 2103 2675
+7639 4 2 0 1 1676 1859 2237 2669
+7640 4 2 0 1 1395 1731 1388 2374
+7641 4 2 0 1 1744 2208 2708 2794
+7642 4 2 0 1 700 1936 781 2041
+7643 4 2 0 1 1756 1645 2063 2646
+7644 4 2 0 1 1940 2173 1670 2554
+7645 4 2 0 1 1562 2193 1770 2823
+7646 4 2 0 1 469 1861 379 2662
+7647 4 2 0 1 1724 2129 2461 2589
+7648 4 2 0 1 484 1733 2211 2446
+7649 4 2 0 1 1904 2092 1658 2349
+7650 4 2 0 1 1697 1989 1915 2355
+7651 4 2 0 1 2287 2382 944 2734
+7652 4 2 0 1 1126 1863 2202 2570
+7653 4 2 0 1 1892 2110 2037 2373
+7654 4 2 0 1 1560 1987 1807 1988
+7655 4 2 0 1 2111 2616 2000 2834
+7656 4 2 0 1 1234 1760 1373 2358
+7657 4 2 0 1 1615 1751 2162 2695
+7658 4 2 0 1 767 1776 700 2375
+7659 4 2 0 1 1541 1759 2065 2310
+7660 4 2 0 1 1825 2192 1630 2459
+7661 4 2 0 1 1616 1951 1883 2244
+7662 4 2 0 1 1395 1221 1731 2720
+7663 4 2 0 1 965 2279 2162 2591
+7664 4 2 0 1 926 930 964 1817
+7665 4 2 0 1 1003 1000 1002 2562
+7666 4 2 0 1 1704 2059 1838 2823
+7667 4 2 0 1 1739 2437 2164 2809
+7668 4 2 0 1 1604 1786 2093 2753
+7669 4 2 0 1 1623 1876 2223 2617
+7670 4 2 0 1 850 2267 2144 2498
+7671 4 2 0 1 1956 2010 1689 2496
+7672 4 2 0 1 401 334 238 1829
+7673 4 2 0 1 1652 2141 1734 2790
+7674 4 2 0 1 1852 2078 1712 2765
+7675 4 2 0 1 1443 2026 1742 2686
+7676 4 2 0 1 881 866 937 1889
+7677 4 2 0 1 1558 1822 2502 2773
+7678 4 2 0 1 1589 2531 1805 2558
+7679 4 2 0 1 603 1841 560 2236
+7680 4 2 0 1 2345 2120 2687 2705
+7681 4 2 0 1 1548 1744 1971 2208
+7682 4 2 0 1 443 415 2090 2185
+7683 4 2 0 1 1616 1708 2022 2552
+7684 4 2 0 1 1744 1971 2402 2480
+7685 4 2 0 1 1711 2114 1853 2509
+7686 4 2 0 1 2264 2419 1283 2435
+7687 4 2 0 1 1758 2469 2069 2812
+7688 4 2 0 1 1602 2632 2185 2698
+7689 4 2 0 1 659 1429 1252 2132
+7690 4 2 0 1 1776 2079 2014 2329
+7691 4 2 0 1 1185 1344 1328 1758
+7692 4 2 0 1 930 964 1817 2365
+7693 4 2 0 1 1817 1599 2248 2778
+7694 4 2 0 1 1479 1467 1769 2379
+7695 4 2 0 1 1761 2280 2107 2689
+7696 4 2 0 1 1720 2262 2062 2797
+7697 4 2 0 1 1419 1909 1385 2148
+7698 4 2 0 1 1605 2355 1720 2797
+7699 4 2 0 1 1732 2680 2748 2795
+7700 4 2 0 1 1528 2465 1812 2510
+7701 4 2 0 1 1951 1640 2244 2335
+7702 4 2 0 1 1785 2634 1685 2718
+7703 4 2 0 1 900 892 2477 2637
+7704 4 2 0 1 1086 1171 2518 2603
+7705 4 2 0 1 1941 2465 1744 2480
+7706 4 2 0 1 1608 2037 2231 2373
+7707 4 2 0 1 868 2591 2287 2715
+7708 4 2 0 1 414 2641 2097 2821
+7709 4 2 0 1 1548 2158 1748 2254
+7710 4 2 0 1 1703 2466 2048 2616
+7711 4 2 0 1 1599 2152 1724 2160
+7712 4 2 0 1 1967 1990 1677 2694
+7713 4 2 0 1 431 451 2359 2610
+7714 4 2 0 1 1884 1955 574 2345
+7715 4 2 0 1 350 2153 239 2539
+7716 4 2 0 1 2298 2353 1997 2568
+7717 4 2 0 1 1612 2111 2000 2320
+7718 4 2 0 1 312 2002 456 2159
+7719 4 2 0 1 447 335 1879 2200
+7720 4 2 0 1 489 2626 194 2818
+7721 4 2 0 1 1853 2126 2075 2578
+7722 4 2 0 1 289 519 523 2157
+7723 4 2 0 1 1677 2297 1897 2380
+7724 4 2 0 1 1559 2423 1716 2545
+7725 4 2 0 1 823 764 767 1776
+7726 4 2 0 1 1205 1281 1787 2339
+7727 4 2 0 1 157 723 156 2670
+7728 4 2 0 1 1454 2205 1432 2513
+7729 4 2 0 1 1552 1835 2369 2799
+7730 4 2 0 1 1747 2447 2027 2597
+7731 4 2 0 1 1606 2541 1864 2768
+7732 4 2 0 1 1679 2324 1834 2737
+7733 4 2 0 1 1569 1966 1851 2633
+7734 4 2 0 1 1153 1661 2582 2603
+7735 4 2 0 1 1082 1863 1163 2565
+7736 4 2 0 1 377 2068 2066 2404
+7737 4 2 0 1 1187 1944 1475 2383
+7738 4 2 0 1 1521 1484 1204 2184
+7739 4 2 0 1 693 801 797 2028
+7740 4 2 0 1 1754 1600 2251 2495
+7741 4 2 0 1 1609 1762 2091 2721
+7742 4 2 0 1 1567 1725 2260 2400
+7743 4 2 0 1 538 620 585 1937
+7744 4 2 0 1 1597 2401 1958 2471
+7745 4 2 0 1 1842 1901 1745 2522
+7746 4 2 0 1 547 1831 2046 2560
+7747 4 2 0 1 360 369 1895 2366
+7748 4 2 0 1 1925 2166 1888 2774
+7749 4 2 0 1 1760 1572 2012 2441
+7750 4 2 0 1 1904 2202 1102 2564
+7751 4 2 0 1 1877 2153 444 2409
+7752 4 2 0 1 1216 1340 1954 2655
+7753 4 2 0 1 1621 2204 1752 2816
+7754 4 2 0 1 928 2162 1748 2591
+7755 4 2 0 1 2101 2317 411 2366
+7756 4 2 0 1 1625 2103 1888 2675
+7757 4 2 0 1 1831 1897 1592 2046
+7758 4 2 0 1 1771 2165 155 2670
+7759 4 2 0 1 1634 2159 2323 2528
+7760 4 2 0 1 1826 2203 1621 2363
+7761 4 2 0 1 2031 2168 1739 2437
+7762 4 2 0 1 312 2159 456 2407
+7763 4 2 0 1 1781 2184 2177 2299
+7764 4 2 0 1 1940 2225 1823 2789
+7765 4 2 0 1 1644 2059 1897 2380
+7766 4 2 0 1 443 2090 188 2185
+7767 4 2 0 1 1488 2087 1428 2131
+7768 4 2 0 1 2021 2552 2229 2563
+7769 4 2 0 1 1030 1870 1153 2603
+7770 4 2 0 1 1729 1946 2209 2793
+7771 4 2 0 1 1901 2356 2195 2600
+7772 4 2 0 1 1321 2453 2044 2455
+7773 4 2 0 1 1635 2121 1941 2465
+7774 4 2 0 1 2099 2513 2171 2631
+7775 4 2 0 1 1603 2049 1847 2561
+7776 4 2 0 1 1901 2522 1842 2716
+7777 4 2 0 1 482 1158 158 2049
+7778 4 2 0 1 624 1912 573 2294
+7779 4 2 0 1 1792 2445 2163 2539
+7780 4 2 0 1 1887 1537 2243 2629
+7781 4 2 0 1 1806 2362 2004 2680
+7782 4 2 0 1 1445 1772 1179 2751
+7783 4 2 0 1 1541 2011 1804 2520
+7784 4 2 0 1 430 1737 358 2679
+7785 4 2 0 1 1799 683 2367 2587
+7786 4 2 0 1 1533 2270 1970 2504
+7787 4 2 0 1 2190 2211 1733 2653
+7788 4 2 0 1 1097 2043 1914 2346
+7789 4 2 0 1 1335 1762 1425 2721
+7790 4 2 0 1 1685 1991 1890 2634
+7791 4 2 0 1 1606 2228 2541 2768
+7792 4 2 0 1 705 807 709 2501
+7793 4 2 0 1 990 1931 877 2155
+7794 4 2 0 1 396 2090 417 2662
+7795 4 2 0 1 339 1947 2156 2268
+7796 4 2 0 1 1791 1611 2143 2602
+7797 4 2 0 1 1625 1900 1777 2806
+7798 4 2 0 1 1580 2203 1826 2784
+7799 4 2 0 1 1352 1449 1316 1935
+7800 4 2 0 1 1206 1278 1293 2785
+7801 4 2 0 1 1585 2242 1880 2750
+7802 4 2 0 1 585 538 1937 2408
+7803 4 2 0 1 1755 2208 2420 2668
+7804 4 2 0 1 1647 1744 2465 2480
+7805 4 2 0 1 1165 1135 1120 1975
+7806 4 2 0 1 772 785 2041 2666
+7807 4 2 0 1 1566 1911 1812 2105
+7808 4 2 0 1 1958 2447 1880 2750
+7809 4 2 0 1 1875 2127 1761 2689
+7810 4 2 0 1 275 1990 577 2830
+7811 4 2 0 1 1642 2263 2012 2711
+7812 4 2 0 1 1083 1181 1115 1994
+7813 4 2 0 1 1752 2204 1890 2288
+7814 4 2 0 1 1189 1483 2146 2620
+7815 4 2 0 1 1767 1969 1602 2333
+7816 4 2 0 1 825 1752 813 2316
+7817 4 2 0 1 1969 2482 1697 2593
+7818 4 2 0 1 1910 2357 2058 2362
+7819 4 2 0 1 1531 2063 1882 2249
+7820 4 2 0 1 1580 2529 2034 2718
+7821 4 2 0 1 1545 1856 2271 2401
+7822 4 2 0 1 941 887 1873 2259
+7823 4 2 0 1 1919 2134 1768 2607
+7824 4 2 0 1 1560 1988 1807 2413
+7825 4 2 0 1 1897 2059 2756 2827
+7826 4 2 0 1 1125 1103 1763 2414
+7827 4 2 0 1 1584 1773 2019 2675
+7828 4 2 0 1 2063 2505 2039 2600
+7829 4 2 0 1 1581 1743 2432 2659
+7830 4 2 0 1 1544 2188 1721 2537
+7831 4 2 0 1 1842 2544 1901 2716
+7832 4 2 0 1 1567 2196 1809 2433
+7833 4 2 0 1 1987 2388 1844 2470
+7834 4 2 0 1 323 341 337 2559
+7835 4 2 0 1 1694 2123 2366 2683
+7836 4 2 0 1 1862 2149 2089 2426
+7837 4 2 0 1 485 2017 508 2217
+7838 4 2 0 1 2128 2350 132 2503
+7839 4 2 0 1 1144 1688 2274 2458
+7840 4 2 0 1 1607 1799 2009 2408
+7841 4 2 0 1 1714 2616 2111 2834
+7842 4 2 0 1 1553 1921 1783 2459
+7843 4 2 0 1 1682 2482 1969 2593
+7844 4 2 0 1 171 433 1977 1993
+7845 4 2 0 1 628 574 1955 2345
+7846 4 2 0 1 1560 1777 2290 2413
+7847 4 2 0 1 1542 2079 2100 2360
+7848 4 2 0 1 1799 2198 1949 2272
+7849 4 2 0 1 1702 2343 1891 2546
+7850 4 2 0 1 1577 1720 2624 2805
+7851 4 2 0 1 1558 2027 1816 2502
+7852 4 2 0 1 1243 1416 1820 2763
+7853 4 2 0 1 1662 1786 2212 2687
+7854 4 2 0 1 1291 919 2462 2775
+7855 4 2 0 1 1635 1980 1852 2566
+7856 4 2 0 1 681 1766 655 2663
+7857 4 2 0 1 1797 1624 2188 2625
+7858 4 2 0 1 1272 1808 2177 2299
+7859 4 2 0 1 1888 2216 1925 2774
+7860 4 2 0 1 1147 1295 1119 2056
+7861 4 2 0 1 764 1936 1776 2045
+7862 4 2 0 1 1539 1853 2126 2710
+7863 4 2 0 1 1791 2271 1611 2602
+7864 4 2 0 1 298 2211 2397 2446
+7865 4 2 0 1 1874 2112 1595 2652
+7866 4 2 0 1 1753 2237 1676 2352
+7867 4 2 0 1 1833 1659 2088 2430
+7868 4 2 0 1 223 170 270 2092
+7869 4 2 0 1 1931 2280 1761 2689
+7870 4 2 0 1 1081 2119 2255 2769
+7871 4 2 0 1 1689 1874 2427 2452
+7872 4 2 0 1 1643 2109 1946 2628
+7873 4 2 0 1 678 1725 626 2610
+7874 4 2 0 1 171 505 1993 2567
+7875 4 2 0 1 1718 2436 1822 2502
+7876 4 2 0 1 1257 1828 1360 2104
+7877 4 2 0 1 2175 2236 1972 2728
+7878 4 2 0 1 1625 1777 2413 2806
+7879 4 2 0 1 1742 2026 1443 2507
+7880 4 2 0 1 1656 1925 1795 2726
+7881 4 2 0 1 1997 2002 1695 2449
+7882 4 2 0 1 2258 1783 2546 2652
+7883 4 2 0 1 390 475 2333 2407
+7884 4 2 0 1 1583 1940 1823 2789
+7885 4 2 0 1 818 1765 795 2267
+7886 4 2 0 1 1939 1591 2293 2353
+7887 4 2 0 1 1667 1832 2061 2486
+7888 4 2 0 1 1788 1627 2024 2811
+7889 4 2 0 1 1563 2147 1770 2391
+7890 4 2 0 1 363 2123 354 2489
+7891 4 2 0 1 477 2107 274 2612
+7892 4 2 0 1 1604 2093 1786 2283
+7893 4 2 0 1 1443 1742 2435 2686
+7894 4 2 0 1 646 2587 2169 2766
+7895 4 2 0 1 1763 1975 1575 2119
+7896 4 2 0 1 1621 1752 1957 2816
+7897 4 2 0 1 267 2209 466 2826
+7898 4 2 0 1 1866 2047 1671 2831
+7899 4 2 0 1 1736 2185 2632 2698
+7900 4 2 0 1 1006 954 958 2327
+7901 4 2 0 1 1946 1643 2331 2523
+7902 4 2 0 1 212 2123 1939 2353
+7903 4 2 0 1 726 2109 1757 2628
+7904 4 2 0 1 540 600 1825 2393
+7905 4 2 0 1 1850 1983 1657 2605
+7906 4 2 0 1 1637 2294 2281 2393
+7907 4 2 0 1 878 2057 967 2279
+7908 4 2 0 1 1826 2363 2186 2784
+7909 4 2 0 1 1183 1290 1263 1810
+7910 4 2 0 1 2036 2454 2276 2712
+7911 4 2 0 1 337 316 199 2601
+7912 4 2 0 1 1874 2427 2112 2652
+7913 4 2 0 1 1592 2256 1868 2618
+7914 4 2 0 1 826 1955 141 2732
+7915 4 2 0 1 1656 2083 1853 2151
+7916 4 2 0 1 145 2425 1726 2638
+7917 4 2 0 1 1677 1967 2297 2380
+7918 4 2 0 1 1532 2150 1779 2430
+7919 4 2 0 1 1382 908 904 2137
+7920 4 2 0 1 1663 2198 2026 2724
+7921 4 2 0 1 1913 1978 1681 2405
+7922 4 2 0 1 1906 2205 1626 2513
+7923 4 2 0 1 1632 1763 2114 2255
+7924 4 2 0 1 1647 1898 1812 2224
+7925 4 2 0 1 1992 2148 1633 2770
+7926 4 2 0 1 1444 1275 1193 1749
+7927 4 2 0 1 1561 2011 1834 2396
+7928 4 2 0 1 2345 2530 1680 2536
+7929 4 2 0 1 973 1872 911 2715
+7930 4 2 0 1 1820 1384 2387 2763
+7931 4 2 0 1 1953 2074 1713 2532
+7932 4 2 0 1 770 854 816 2638
+7933 4 2 0 1 1617 1815 2175 2595
+7934 4 2 0 1 1751 2096 1566 2428
+7935 4 2 0 1 1986 2231 1938 2476
+7936 4 2 0 1 1572 1923 1830 2276
+7937 4 2 0 1 1506 1516 1474 2137
+7938 4 2 0 1 1623 2223 2117 2617
+7939 4 2 0 1 1794 2087 724 2131
+7940 4 2 0 1 1833 1958 1597 2401
+7941 4 2 0 1 1984 2197 1735 2419
+7942 4 2 0 1 1611 2168 2031 2364
+7943 4 2 0 1 1751 2562 2162 2695
+7944 4 2 0 1 1863 2384 1163 2565
+7945 4 2 0 1 1054 165 1159 2140
+7946 4 2 0 1 368 293 214 2516
+7947 4 2 0 1 1678 2016 1926 2765
+7948 4 2 0 1 1840 1909 1609 2442
+7949 4 2 0 1 1193 1389 2008 2322
+7950 4 2 0 1 1159 164 1173 2140
+7951 4 2 0 1 1471 2241 1298 2383
+7952 4 2 0 1 602 683 1799 2587
+7953 4 2 0 1 1026 1914 2043 2095
+7954 4 2 0 1 2139 2260 1845 2706
+7955 4 2 0 1 1078 1146 1132 1904
+7956 4 2 0 1 240 461 457 1875
+7957 4 2 0 1 1359 1423 1198 2294
+7958 4 2 0 1 1581 2145 1747 2213
+7959 4 2 0 1 1610 2115 1771 2385
+7960 4 2 0 1 1779 2150 1833 2430
+7961 4 2 0 1 1671 2112 1874 2427
+7962 4 2 0 1 1968 2026 1663 2198
+7963 4 2 0 1 2016 2493 1922 2664
+7964 4 2 0 1 896 941 1754 2259
+7965 4 2 0 1 1903 2593 1552 2799
+7966 4 2 0 1 1071 1787 2056 2414
+7967 4 2 0 1 1017 1746 1122 2458
+7968 4 2 0 1 1973 2180 530 2246
+7969 4 2 0 1 1061 1053 2339 2522
+7970 4 2 0 1 1977 2153 1665 2539
+7971 4 2 0 1 926 1011 930 2553
+7972 4 2 0 1 1620 2199 1893 2245
+7973 4 2 0 1 1271 1787 1281 2056
+7974 4 2 0 1 985 2057 979 2462
+7975 4 2 0 1 795 2144 755 2267
+7976 4 2 0 1 1607 1984 1937 2408
+7977 4 2 0 1 930 2233 1817 2553
+7978 4 2 0 1 466 1800 520 2826
+7979 4 2 0 1 1739 2164 1871 2808
+7980 4 2 0 1 1969 2159 1767 2807
+7981 4 2 0 1 1554 2361 1839 2392
+7982 4 2 0 1 1726 2093 1662 2360
+7983 4 2 0 1 1008 915 919 2775
+7984 4 2 0 1 389 2097 1918 2571
+7985 4 2 0 1 240 186 251 1761
+7986 4 2 0 1 484 1733 311 2211
+7987 4 2 0 1 909 885 862 2477
+7988 4 2 0 1 1125 1081 1143 2255
+7989 4 2 0 1 1807 1988 1625 2413
+7990 4 2 0 1 1895 2317 1600 2366
+7991 4 2 0 1 2238 2368 1836 2505
+7992 4 2 0 1 994 2327 2155 2803
+7993 4 2 0 1 1023 1054 2140 2696
+7994 4 2 0 1 1659 2446 2211 2653
+7995 4 2 0 1 240 1761 251 2612
+7996 4 2 0 1 1355 1335 1412 2077
+7997 4 2 0 1 1583 1823 2225 2789
+7998 4 2 0 1 618 1786 559 2536
+7999 4 2 0 1 1743 1858 2659 2787
+8000 4 2 0 1 558 1447 579 1984
+8001 4 2 0 1 1749 2351 2265 2718
+8002 4 2 0 1 2146 2301 1837 2620
+8003 4 2 0 1 1650 1916 1782 2693
+8004 4 2 0 1 1793 1999 2129 2160
+8005 4 2 0 1 1821 2036 1299 2655
+8006 4 2 0 1 1782 2308 2150 2506
+8007 4 2 0 1 1679 2453 2324 2737
+8008 4 2 0 1 238 1829 334 2556
+8009 4 2 0 1 288 2157 327 2657
+8010 4 2 0 1 1551 1953 2074 2547
+8011 4 2 0 1 1569 2517 2113 2590
+8012 4 2 0 1 2286 2380 1967 2745
+8013 4 2 0 1 1894 2023 1600 2492
+8014 4 2 0 1 1791 2266 2065 2476
+8015 4 2 0 1 1119 1466 1083 1181
+8016 4 2 0 1 1757 1610 2186 2363
+8017 4 2 0 1 752 799 1942 2677
+8018 4 2 0 1 2044 2453 1774 2455
+8019 4 2 0 1 1594 1768 2176 2607
+8020 4 2 0 1 297 2030 383 2776
+8021 4 2 0 1 1707 2140 1797 2278
+8022 4 2 0 1 1819 2764 1557 2814
+8023 4 2 0 1 1678 2664 2016 2765
+8024 4 2 0 1 1713 2074 1855 2585
+8025 4 2 0 1 1566 1812 1911 2428
+8026 4 2 0 1 1883 1951 1640 2244
+8027 4 2 0 1 431 2359 1725 2610
+8028 4 2 0 1 327 2657 2157 2741
+8029 4 2 0 1 2105 2510 1812 2708
+8030 4 2 0 1 2324 2453 1329 2737
+8031 4 2 0 1 1350 839 838 2379
+8032 4 2 0 1 908 2137 1382 2715
+8033 4 2 0 1 1758 2393 2069 2469
+8034 4 2 0 1 932 941 1873 2251
+8035 4 2 0 1 1676 2352 1859 2699
+8036 4 2 0 1 1907 2125 1566 2553
+8037 4 2 0 1 1658 1979 1930 2349
+8038 4 2 0 1 1744 2121 2402 2460
+8039 4 2 0 1 1641 2547 1811 2611
+8040 4 2 0 1 1672 1589 2133 2208
+8041 4 2 0 1 1312 1218 1349 1922
+8042 4 2 0 1 1561 2396 1818 2599
+8043 4 2 0 1 1681 2424 2406 2642
+8044 4 2 0 1 1601 2085 1941 2480
+8045 4 2 0 1 1727 2337 2340 2396
+8046 4 2 0 1 1085 1775 1150 2191
+8047 4 2 0 1 1856 2398 1739 2527
+8048 4 2 0 1 1785 2203 1580 2665
+8049 4 2 0 1 1948 2706 1680 2786
+8050 4 2 0 1 1918 1983 490 2691
+8051 4 2 0 1 600 1825 2393 2663
+8052 4 2 0 1 2090 2333 1969 2407
+8053 4 2 0 1 1766 1618 2246 2496
+8054 4 2 0 1 136 2410 1972 2777
+8055 4 2 0 1 1750 2306 1597 2308
+8056 4 2 0 1 1663 2077 2167 2573
+8057 4 2 0 1 1532 1779 2343 2430
+8058 4 2 0 1 1568 2573 2396 2831
+8059 4 2 0 1 1604 2093 1726 2235
+8060 4 2 0 1 1681 2405 1978 2556
+8061 4 2 0 1 1006 879 2542 2576
+8062 4 2 0 1 1558 2145 2027 2332
+8063 4 2 0 1 1113 1052 1060 2394
+8064 4 2 0 1 1378 1438 1240 2767
+8065 4 2 0 1 1973 2367 683 2587
+8066 4 2 0 1 1747 1581 2074 2145
+8067 4 2 0 1 1589 2510 2105 2708
+8068 4 2 0 1 1871 1736 2632 2698
+8069 4 2 0 1 842 2115 153 2186
+8070 4 2 0 1 1755 2208 1672 2420
+8071 4 2 0 1 461 2086 1875 2612
+8072 4 2 0 1 1308 2324 1324 2655
+8073 4 2 0 1 874 1803 2233 2553
+8074 4 2 0 1 1621 1957 2089 2816
+8075 4 2 0 1 1844 1560 2257 2290
+8076 4 2 0 1 873 1003 2155 2542
+8077 4 2 0 1 1138 272 446 2349
+8078 4 2 0 1 1841 1653 2321 2766
+8079 4 2 0 1 2112 2427 1689 2652
+8080 4 2 0 1 1828 2367 2053 2725
+8081 4 2 0 1 1693 2079 1923 2329
+8082 4 2 0 1 2103 2369 1900 2806
+8083 4 2 0 1 1548 1755 1971 2511
+8084 4 2 0 1 2018 2033 1612 2667
+8085 4 2 0 1 1650 2100 2372 2837
+8086 4 2 0 1 1561 2050 2220 2654
+8087 4 2 0 1 1593 2107 1961 2280
+8088 4 2 0 1 1416 1243 1820 2289
+8089 4 2 0 1 1738 1999 1559 2758
+8090 4 2 0 1 695 1860 854 2649
+8091 4 2 0 1 1557 2613 1819 2768
+8092 4 2 0 1 2070 2382 2287 2734
+8093 4 2 0 1 2074 2547 1747 2762
+8094 4 2 0 1 2022 1698 2291 2648
+8095 4 2 0 1 1649 1996 2597 2744
+8096 4 2 0 1 714 2555 718 2649
+8097 4 2 0 1 2209 2338 264 2685
+8098 4 2 0 1 1988 2413 1777 2806
+8099 4 2 0 1 1532 1950 2150 2430
+8100 4 2 0 1 1576 2346 2043 2810
+8101 4 2 0 1 1609 2091 1762 2167
+8102 4 2 0 1 2070 2287 944 2734
+8103 4 2 0 1 1578 2457 1955 2705
+8104 4 2 0 1 1722 1997 2353 2568
+8105 4 2 0 1 1622 2079 1860 2375
+8106 4 2 0 1 1583 1823 1940 1964
+8107 4 2 0 1 815 1991 803 2684
+8108 4 2 0 1 863 1781 950 2081
+8109 4 2 0 1 617 1815 625 2344
+8110 4 2 0 1 188 2185 2090 2333
+8111 4 2 0 1 1577 1795 1925 2726
+8112 4 2 0 1 1593 1738 1999 2545
+8113 4 2 0 1 1233 1355 1412 2507
+8114 4 2 0 1 1560 2199 1824 2257
+8115 4 2 0 1 1577 1925 2312 2774
+8116 4 2 0 1 1080 388 272 2713
+8117 4 2 0 1 1716 2423 2319 2545
+8118 4 2 0 1 1655 2433 2450 2533
+8119 4 2 0 1 1626 2171 2099 2513
+8120 4 2 0 1 1022 1060 1927 2424
+8121 4 2 0 1 444 1800 466 2685
+8122 4 2 0 1 1733 2190 311 2211
+8123 4 2 0 1 584 2400 1809 2530
+8124 4 2 0 1 1218 1922 1312 2493
+8125 4 2 0 1 2062 2130 316 2624
+8126 4 2 0 1 1976 2264 1283 2435
+8127 4 2 0 1 840 1826 769 2186
+8128 4 2 0 1 705 709 1765 2501
+8129 4 2 0 1 1985 2705 2377 2773
+8130 4 2 0 1 1590 2159 1969 2807
+8131 4 2 0 1 1685 1991 2596 2684
+8132 4 2 0 1 1673 2058 1910 2681
+8133 4 2 0 1 1102 1072 2054 2202
+8134 4 2 0 1 1802 1634 1920 2528
+8135 4 2 0 1 1587 2040 2075 2578
+8136 4 2 0 1 1826 2529 1580 2784
+8137 4 2 0 1 1078 1904 1102 2564
+8138 4 2 0 1 1535 1892 2110 2487
+8139 4 2 0 1 290 316 2062 2448
+8140 4 2 0 1 1812 2105 1911 2510
+8141 4 2 0 1 1760 1908 1622 2358
+8142 4 2 0 1 1879 2185 372 2333
+8143 4 2 0 1 1454 1238 1432 2205
+8144 4 2 0 1 601 2046 619 2321
+8145 4 2 0 1 1066 1519 1508 2278
+8146 4 2 0 1 274 193 250 1961
+8147 4 2 0 1 1932 1635 2113 2838
+8148 4 2 0 1 1705 2021 1255 2387
+8149 4 2 0 1 1574 1782 2308 2538
+8150 4 2 0 1 1813 2207 356 2399
+8151 4 2 0 1 1253 1409 1824 2455
+8152 4 2 0 1 1675 1791 2065 2271
+8153 4 2 0 1 1663 2167 2077 2507
+8154 4 2 0 1 1542 2100 2079 2372
+8155 4 2 0 1 418 2559 1930 2713
+8156 4 2 0 1 1342 1239 1383 2322
+8157 4 2 0 1 1108 2043 1090 2518
+8158 4 2 0 1 1275 1193 1749 2615
+8159 4 2 0 1 1694 2123 1895 2366
+8160 4 2 0 1 1823 1605 2395 2735
+8161 4 2 0 1 2021 1708 2552 2563
+8162 4 2 0 1 1593 2061 1738 2319
+8163 4 2 0 1 2406 2424 1096 2642
+8164 4 2 0 1 2076 2301 1331 2740
+8165 4 2 0 1 1102 1078 1072 1904
+8166 4 2 0 1 2208 2411 2102 2794
+8167 4 2 0 1 1227 1346 1336 1834
+8168 4 2 0 1 1903 2779 1695 2799
+8169 4 2 0 1 931 2073 1832 2129
+8170 4 2 0 1 706 750 1769 2631
+8171 4 2 0 1 1806 1945 1673 2227
+8172 4 2 0 1 1605 1989 1915 2147
+8173 4 2 0 1 1762 2091 2077 2167
+8174 4 2 0 1 1071 1049 1133 1787
+8175 4 2 0 1 2039 2063 1645 2646
+8176 4 2 0 1 1682 2311 2168 2437
+8177 4 2 0 1 1374 2013 1217 2579
+8178 4 2 0 1 1769 2379 1467 2631
+8179 4 2 0 1 1818 2651 2813 2820
+8180 4 2 0 1 1199 1742 1443 2507
+8181 4 2 0 1 1573 2180 1845 2672
+8182 4 2 0 1 1528 2121 1966 2465
+8183 4 2 0 1 1568 1878 2252 2440
+8184 4 2 0 1 1564 2352 1753 2699
+8185 4 2 0 1 717 766 776 2307
+8186 4 2 0 1 1572 2310 1759 2515
+8187 4 2 0 1 1650 2150 2506 2693
+8188 4 2 0 1 1958 2471 2401 2750
+8189 4 2 0 1 896 946 941 2259
+8190 4 2 0 1 2116 2230 1671 2524
+8191 4 2 0 1 1057 2416 1929 2709
+8192 4 2 0 1 1777 2143 2290 2796
+8193 4 2 0 1 2140 2346 1023 2696
+8194 4 2 0 1 2000 2037 1692 2487
+8195 4 2 0 1 1604 1782 2093 2526
+8196 4 2 0 1 1668 2472 1897 2618
+8197 4 2 0 1 240 472 186 2127
+8198 4 2 0 1 1728 1579 2226 2479
+8199 4 2 0 1 653 1726 2212 2638
+8200 4 2 0 1 1640 2548 2108 2828
+8201 4 2 0 1 543 662 2256 2569
+8202 4 2 0 1 406 2020 320 2399
+8203 4 2 0 1 1646 2264 1976 2434
+8204 4 2 0 1 1601 2480 2479 2839
+8205 4 2 0 1 1594 2176 1738 2319
+8206 4 2 0 1 582 480 441 2456
+8207 4 2 0 1 2155 2444 1790 2771
+8208 4 2 0 1 1713 2074 1953 2432
+8209 4 2 0 1 333 2207 218 2472
+8210 4 2 0 1 896 1754 941 2495
+8211 4 2 0 1 1463 1287 1994 2785
+8212 4 2 0 1 1837 2301 2076 2740
+8213 4 2 0 1 302 216 1823 2395
+8214 4 2 0 1 2024 2235 1782 2526
+8215 4 2 0 1 1920 1675 2334 2701
+8216 4 2 0 1 1761 2127 1875 2612
+8217 4 2 0 1 306 2030 182 2190
+8218 4 2 0 1 1682 1969 2038 2437
+8219 4 2 0 1 1999 2073 1793 2129
+8220 4 2 0 1 634 1841 603 2321
+8221 4 2 0 1 1632 2114 1870 2255
+8222 4 2 0 1 844 527 149 2338
+8223 4 2 0 1 1880 2242 1675 2750
+8224 4 2 0 1 1601 1971 2479 2480
+8225 4 2 0 1 1512 1194 1251 2835
+8226 4 2 0 1 1550 2293 2085 2418
+8227 4 2 0 1 1549 2273 1876 2617
+8228 4 2 0 1 1743 2659 2598 2787
+8229 4 2 0 1 1443 1742 1199 2435
+8230 4 2 0 1 1857 2310 2044 2521
+8231 4 2 0 1 1711 2384 2191 2594
+8232 4 2 0 1 874 1907 2462 2553
+8233 4 2 0 1 1732 2156 2123 2680
+8234 4 2 0 1 550 638 2260 2400
+8235 4 2 0 1 493 426 658 2610
+8236 4 2 0 1 1559 2731 1851 2758
+8237 4 2 0 1 620 1799 683 2367
+8238 4 2 0 1 1736 2071 1861 2698
+8239 4 2 0 1 1411 1232 1373 2012
+8240 4 2 0 1 485 393 508 2635
+8241 4 2 0 1 1555 2174 1908 2329
+8242 4 2 0 1 1317 1388 1221 2788
+8243 4 2 0 1 1610 1793 2160 2331
+8244 4 2 0 1 2402 1744 2460 2794
+8245 4 2 0 1 537 1995 580 2294
+8246 4 2 0 1 1498 923 959 2057
+8247 4 2 0 1 1290 719 1505 2722
+8248 4 2 0 1 431 386 416 2661
+8249 4 2 0 1 1551 2547 2074 2762
+8250 4 2 0 1 812 849 814 1936
+8251 4 2 0 1 1930 2170 1606 2535
+8252 4 2 0 1 592 1831 547 2560
+8253 4 2 0 1 1833 1958 2401 2750
+8254 4 2 0 1 460 1809 426 2610
+8255 4 2 0 1 876 1016 989 1907
+8256 4 2 0 1 1604 1916 2210 2753
+8257 4 2 0 1 267 1952 2209 2826
+8258 4 2 0 1 1179 1772 2275 2751
+8259 4 2 0 1 1946 2109 1643 2523
+8260 4 2 0 1 1418 2008 2322 2711
+8261 4 2 0 1 640 1869 652 2390
+8262 4 2 0 1 1310 2036 1299 2475
+8263 4 2 0 1 652 136 1972 2777
+8264 4 2 0 1 683 620 602 1799
+8265 4 2 0 1 1129 1164 1864 2584
+8266 4 2 0 1 1663 2342 2198 2724
+8267 4 2 0 1 1823 2554 1940 2735
+8268 4 2 0 1 382 223 344 2092
+8269 4 2 0 1 2083 2646 1756 2660
+8270 4 2 0 1 1002 925 1931 2588
+8271 4 2 0 1 1359 2294 1995 2467
+8272 4 2 0 1 1086 2594 1171 2603
+8273 4 2 0 1 2049 2495 1847 2561
+8274 4 2 0 1 1829 2424 1681 2556
+8275 4 2 0 1 1908 2174 1760 2329
+8276 4 2 0 1 2225 2626 1723 2818
+8277 4 2 0 1 878 967 2057 2241
+8278 4 2 0 1 1540 1899 2067 2417
+8279 4 2 0 1 412 1902 387 2641
+8280 4 2 0 1 314 1778 300 2815
+8281 4 2 0 1 1980 2113 1635 2838
+8282 4 2 0 1 475 385 258 2333
+8283 4 2 0 1 389 412 1918 2641
+8284 4 2 0 1 606 559 618 1786
+8285 4 2 0 1 1631 2748 2680 2795
+8286 4 2 0 1 1664 1721 2188 2537
+8287 4 2 0 1 1711 2594 2191 2710
+8288 4 2 0 1 1193 2322 1749 2615
+8289 4 2 0 1 1359 1198 1326 1995
+8290 4 2 0 1 1753 2237 1980 2590
+8291 4 2 0 1 1185 1954 1327 2104
+8292 4 2 0 1 365 2409 2153 2669
+8293 4 2 0 1 1794 2131 147 2497
+8294 4 2 0 1 1652 2175 2141 2790
+8295 4 2 0 1 2106 2436 1629 2501
+8296 4 2 0 1 2157 2222 1720 2624
+8297 4 2 0 1 1797 2146 1707 2278
+8298 4 2 0 1 820 1405 1294 2379
+8299 4 2 0 1 1726 2093 1604 2283
+8300 4 2 0 1 1271 1205 1281 1049
+8301 4 2 0 1 365 183 1859 2153
+8302 4 2 0 1 1402 1506 1474 2137
+8303 4 2 0 1 1624 2070 1797 2188
+8304 4 2 0 1 1672 2133 2420 2668
+8305 4 2 0 1 1916 2443 2093 2693
+8306 4 2 0 1 1202 1139 1994 2582
+8307 4 2 0 1 2048 2160 1999 2758
+8308 4 2 0 1 362 2049 1847 2464
+8309 4 2 0 1 1616 2291 2187 2648
+8310 4 2 0 1 1719 2148 1240 2767
+8311 4 2 0 1 603 1841 612 2761
+8312 4 2 0 1 1547 1836 2238 2282
+8313 4 2 0 1 1737 2468 358 2489
+8314 4 2 0 1 456 235 340 1850
+8315 4 2 0 1 1796 2372 2100 2837
+8316 4 2 0 1 1890 2204 1752 2451
+8317 4 2 0 1 1710 2232 1870 2603
+8318 4 2 0 1 1584 1882 2103 2575
+8319 4 2 0 1 1625 1888 2103 2806
+8320 4 2 0 1 1683 2011 2306 2572
+8321 4 2 0 1 1580 1785 2351 2718
+8322 4 2 0 1 1738 2048 1999 2758
+8323 4 2 0 1 464 257 741 2692
+8324 4 2 0 1 202 383 353 1816
+8325 4 2 0 1 252 446 272 2349
+8326 4 2 0 1 361 2005 205 2614
+8327 4 2 0 1 1772 1987 1636 2747
+8328 4 2 0 1 417 2090 396 2657
+8329 4 2 0 1 307 2353 1722 2691
+8330 4 2 0 1 471 453 1792 2445
+8331 4 2 0 1 1321 1351 2044 2453
+8332 4 2 0 1 1749 2205 1444 2557
+8333 4 2 0 1 1597 2306 1865 2308
+8334 4 2 0 1 1667 1931 2061 2588
+8335 4 2 0 1 897 945 2461 2523
+8336 4 2 0 1 1246 1276 1933 2205
+8337 4 2 0 1 1245 1774 2455 2737
+8338 4 2 0 1 1826 2186 1757 2307
+8339 4 2 0 1 903 2049 891 2494
+8340 4 2 0 1 1712 2102 2078 2460
+8341 4 2 0 1 1536 1866 2047 2427
+8342 4 2 0 1 940 2073 2129 2637
+8343 4 2 0 1 186 251 1761 2803
+8344 4 2 0 1 1864 1606 2170 2541
+8345 4 2 0 1 1727 2463 2042 2654
+8346 4 2 0 1 2085 2219 1843 2673
+8347 4 2 0 1 1026 1914 1097 2043
+8348 4 2 0 1 1796 2372 1650 2506
+8349 4 2 0 1 2104 2215 2206 2782
+8350 4 2 0 1 1654 2279 2591 2636
+8351 4 2 0 1 1129 1864 2170 2584
+8352 4 2 0 1 1646 2195 1901 2434
+8353 4 2 0 1 1546 1737 2134 2483
+8354 4 2 0 1 1500 1840 1261 2586
+8355 4 2 0 1 1637 1912 2281 2294
+8356 4 2 0 1 1324 1374 1340 2013
+8357 4 2 0 1 1431 1423 1359 2294
+8358 4 2 0 1 1715 1981 1940 2368
+8359 4 2 0 1 1601 1971 1943 2479
+8360 4 2 0 1 253 279 275 1990
+8361 4 2 0 1 325 405 356 2328
+8362 4 2 0 1 1792 2066 1649 2341
+8363 4 2 0 1 1931 2155 1790 2771
+8364 4 2 0 1 1663 2026 2342 2724
+8365 4 2 0 1 1531 2003 1770 2604
+8366 4 2 0 1 1976 2434 2264 2435
+8367 4 2 0 1 2333 2407 2090 2657
+8368 4 2 0 1 222 462 329 2020
+8369 4 2 0 1 1608 2266 1791 2476
+8370 4 2 0 1 2061 2689 1931 2771
+8371 4 2 0 1 926 858 2125 2248
+8372 4 2 0 1 1548 1805 2254 2708
+8373 4 2 0 1 1632 2273 2117 2617
+8374 4 2 0 1 1701 2116 2032 2311
+8375 4 2 0 1 1558 2145 2332 2502
+8376 4 2 0 1 1916 2093 1786 2753
+8377 4 2 0 1 1548 1744 2208 2708
+8378 4 2 0 1 1360 1437 1414 2104
+8379 4 2 0 1 548 2246 2069 2725
+8380 4 2 0 1 1540 2630 1899 2827
+8381 4 2 0 1 2013 2654 1706 2746
+8382 4 2 0 1 436 1977 433 2445
+8383 4 2 0 1 1123 1846 1975 2570
+8384 4 2 0 1 1925 2083 1848 2726
+8385 4 2 0 1 1897 2472 1831 2618
+8386 4 2 0 1 1538 1844 1962 2388
+8387 4 2 0 1 1758 2069 1828 2812
+8388 4 2 0 1 1686 1964 1823 2622
+8389 4 2 0 1 1199 1421 1248 1976
+8390 4 2 0 1 1650 2372 1796 2837
+8391 4 2 0 1 1567 2260 1948 2400
+8392 4 2 0 1 1528 2111 1966 2566
+8393 4 2 0 1 1615 2224 1898 2389
+8394 4 2 0 1 1548 1971 1741 2511
+8395 4 2 0 1 653 1726 682 2283
+8396 4 2 0 1 2010 1689 2496 2782
+8397 4 2 0 1 1720 2062 1848 2797
+8398 4 2 0 1 171 1993 1977 2567
+8399 4 2 0 1 1418 2322 1885 2711
+8400 4 2 0 1 1570 1772 1987 2318
+8401 4 2 0 1 582 2456 536 2658
+8402 4 2 0 1 1578 1950 1916 2802
+8403 4 2 0 1 1468 2026 2686 2724
+8404 4 2 0 1 448 179 1875 2086
+8405 4 2 0 1 1416 1384 1455 1820
+8406 4 2 0 1 1654 1748 2254 2636
+8407 4 2 0 1 1137 2202 1087 2570
+8408 4 2 0 1 1447 1460 579 1984
+8409 4 2 0 1 1888 2019 1584 2216
+8410 4 2 0 1 2479 2480 1971 2839
+8411 4 2 0 1 1560 2290 1777 2707
+8412 4 2 0 1 1725 2207 431 2661
+8413 4 2 0 1 1547 2434 1742 2500
+8414 4 2 0 1 1818 2396 1866 2831
+8415 4 2 0 1 1605 2262 1823 2395
+8416 4 2 0 1 2039 2505 2063 2646
+8417 4 2 0 1 256 419 2185 2200
+8418 4 2 0 1 1150 2384 1775 2565
+8419 4 2 0 1 2051 2822 1251 2835
+8420 4 2 0 1 1601 1941 2085 2418
+8421 4 2 0 1 2014 2079 1693 2329
+8422 4 2 0 1 1511 1510 1473 2241
+8423 4 2 0 1 1738 2176 1594 2483
+8424 4 2 0 1 2195 2586 2303 2716
+8425 4 2 0 1 1569 1918 2176 2517
+8426 4 2 0 1 1694 2189 2219 2680
+8427 4 2 0 1 1871 2524 1540 2698
+8428 4 2 0 1 1705 2387 1255 2620
+8429 4 2 0 1 2295 2527 1683 2602
+8430 4 2 0 1 1932 2449 2270 2838
+8431 4 2 0 1 1882 2604 2147 2735
+8432 4 2 0 1 1538 2078 1844 2703
+8433 4 2 0 1 1594 2176 1918 2517
+8434 4 2 0 1 1585 2242 1801 2597
+8435 4 2 0 1 691 804 825 2288
+8436 4 2 0 1 1608 1986 1892 1998
+8437 4 2 0 1 1686 1823 2516 2622
+8438 4 2 0 1 1818 2651 2295 2813
+8439 4 2 0 1 1428 1924 1456 2358
+8440 4 2 0 1 581 534 577 1990
+8441 4 2 0 1 1649 1792 2341 2762
+8442 4 2 0 1 372 335 2185 2200
+8443 4 2 0 1 1874 1671 2230 2524
+8444 4 2 0 1 1528 2111 2048 2466
+8445 4 2 0 1 1793 2523 2461 2637
+8446 4 2 0 1 1297 2044 1214 2512
+8447 4 2 0 1 1463 1292 1202 1994
+8448 4 2 0 1 1083 1127 1039 2056
+8449 4 2 0 1 778 748 1933 2690
+8450 4 2 0 1 530 1973 1868 2180
+8451 4 2 0 1 1138 1080 272 2713
+8452 4 2 0 1 1268 1708 1266 2730
+8453 4 2 0 1 677 600 647 1825
+8454 4 2 0 1 213 428 437 1897
+8455 4 2 0 1 481 428 242 2560
+8456 4 2 0 1 1911 2428 1812 2650
+8457 4 2 0 1 545 2260 675 2569
+8458 4 2 0 1 795 755 850 2267
+8459 4 2 0 1 1889 2081 1628 2233
+8460 4 2 0 1 1674 2457 1905 2705
+8461 4 2 0 1 1672 2001 2102 2285
+8462 4 2 0 1 1030 1036 1153 1870
+8463 4 2 0 1 531 594 649 1845
+8464 4 2 0 1 1542 2093 1726 2360
+8465 4 2 0 1 1727 2463 1866 2573
+8466 4 2 0 1 1542 1782 2093 2693
+8467 4 2 0 1 2025 2646 1575 2660
+8468 4 2 0 1 1602 2038 1969 2437
+8469 4 2 0 1 1982 2211 1659 2446
+8470 4 2 0 1 1602 2437 1969 2807
+8471 4 2 0 1 382 2092 344 2448
+8472 4 2 0 1 984 2129 2365 2589
+8473 4 2 0 1 772 2041 785 2375
+8474 4 2 0 1 1603 1847 2049 2464
+8475 4 2 0 1 1785 1621 2203 2304
+8476 4 2 0 1 1609 2167 2142 2356
+8477 4 2 0 1 1618 1973 1799 2367
+8478 4 2 0 1 543 2256 1831 2569
+8479 4 2 0 1 1685 2034 2690 2718
+8480 4 2 0 1 1142 2049 1927 2394
+8481 4 2 0 1 612 1815 617 2344
+8482 4 2 0 1 1551 1811 2163 2532
+8483 4 2 0 1 1591 1939 2293 2607
+8484 4 2 0 1 1698 2022 2082 2181
+8485 4 2 0 1 2102 2285 2001 2703
+8486 4 2 0 1 770 2161 1860 2638
+8487 4 2 0 1 1826 1771 2055 2784
+8488 4 2 0 1 612 617 1815 2236
+8489 4 2 0 1 436 171 433 1977
+8490 4 2 0 1 1748 1624 2158 2287
+8491 4 2 0 1 1993 2316 777 2498
+8492 4 2 0 1 816 695 729 1860
+8493 4 2 0 1 1060 1052 1022 1927
+8494 4 2 0 1 1096 2424 2405 2642
+8495 4 2 0 1 1154 1930 1035 2713
+8496 4 2 0 1 1132 500 286 517
+8497 4 2 0 1 1567 1899 2481 2580
+8498 4 2 0 1 874 1907 870 2462
+8499 4 2 0 1 671 571 566 2197
+8500 4 2 0 1 1788 1924 1627 2475
+8501 4 2 0 1 1755 2076 1837 2511
+8502 4 2 0 1 1658 2025 2336 2622
+8503 4 2 0 1 1584 2083 1756 2315
+8504 4 2 0 1 2151 2216 2083 2549
+8505 4 2 0 1 2258 2343 1595 2652
+8506 4 2 0 1 1910 2172 1603 2189
+8507 4 2 0 1 1644 1897 2059 2756
+8508 4 2 0 1 1569 1966 2176 2423
+8509 4 2 0 1 230 509 444 1877
+8510 4 2 0 1 1719 2148 1633 2243
+8511 4 2 0 1 329 462 419 1736
+8512 4 2 0 1 2109 2115 842 2186
+8513 4 2 0 1 1385 1909 1419 2721
+8514 4 2 0 1 224 2084 324 2190
+8515 4 2 0 1 2219 2292 1843 2673
+8516 4 2 0 1 1589 2708 2208 2794
+8517 4 2 0 1 1821 1627 2371 2467
+8518 4 2 0 1 301 1997 2002 2741
+8519 4 2 0 1 1691 2015 1988 2300
+8520 4 2 0 1 1466 1083 1181 1115
+8521 4 2 0 1 1620 1893 2199 2201
+8522 4 2 0 1 749 1993 777 2498
+8523 4 2 0 1 1541 1865 2065 2306
+8524 4 2 0 1 1620 2340 2396 2599
+8525 4 2 0 1 1779 2150 1532 2258
+8526 4 2 0 1 1670 2173 1940 2478
+8527 4 2 0 1 372 1879 335 2200
+8528 4 2 0 1 1824 1651 2455 2493
+8529 4 2 0 1 1113 2394 1819 2709
+8530 4 2 0 1 1552 2779 1903 2799
+8531 4 2 0 1 593 2069 1766 2663
+8532 4 2 0 1 1619 1859 2409 2669
+8533 4 2 0 1 744 716 2041 2379
+8534 4 2 0 1 1749 2265 2557 2718
+8535 4 2 0 1 511 505 1849 2692
+8536 4 2 0 1 1565 1892 1986 1998
+8537 4 2 0 1 179 2097 2086 2821
+8538 4 2 0 1 1010 981 163 2734
+8539 4 2 0 1 1340 2013 1374 2579
+8540 4 2 0 1 444 2153 509 2409
+8541 4 2 0 1 1620 2340 2337 2396
+8542 4 2 0 1 571 2197 671 2390
+8543 4 2 0 1 1570 2291 2015 2540
+8544 4 2 0 1 1838 2071 1563 2391
+8545 4 2 0 1 175 1792 453 2404
+8546 4 2 0 1 1544 1827 2188 2537
+8547 4 2 0 1 1870 2232 1710 2710
+8548 4 2 0 1 1873 2221 1754 2259
+8549 4 2 0 1 849 1936 764 2045
+8550 4 2 0 1 1591 2219 2085 2293
+8551 4 2 0 1 1385 2148 1909 2721
+8552 4 2 0 1 1733 2084 311 2190
+8553 4 2 0 1 1005 868 928 2591
+8554 4 2 0 1 1665 1792 2163 2539
+8555 4 2 0 1 818 705 709 1765
+8556 4 2 0 1 2047 2167 1568 2573
+8557 4 2 0 1 372 2185 1879 2200
+8558 4 2 0 1 1618 2069 2206 2496
+8559 4 2 0 1 779 1826 840 2055
+8560 4 2 0 1 163 981 162 2035
+8561 4 2 0 1 966 922 2542 2695
+8562 4 2 0 1 1689 1956 1783 2652
+8563 4 2 0 1 940 2129 2461 2637
+8564 4 2 0 1 1335 1192 1341 2077
+8565 4 2 0 1 624 555 573 1912
+8566 4 2 0 1 1778 2397 1905 2815
+8567 4 2 0 1 1953 2074 1581 2432
+8568 4 2 0 1 1568 2440 2252 2820
+8569 4 2 0 1 1644 2059 1838 2756
+8570 4 2 0 1 706 750 746 1769
+8571 4 2 0 1 1465 1803 1415 2499
+8572 4 2 0 1 1654 1751 2279 2636
+8573 4 2 0 1 1575 2025 2660 2817
+8574 4 2 0 1 1738 1594 2319 2483
+8575 4 2 0 1 786 1849 720 2692
+8576 4 2 0 1 1516 1220 2137 2301
+8577 4 2 0 1 1833 1659 2430 2682
+8578 4 2 0 1 1682 2168 2031 2437
+8579 4 2 0 1 1869 2179 671 2777
+8580 4 2 0 1 363 354 178 2489
+8581 4 2 0 1 1179 2007 1404 2767
+8582 4 2 0 1 1817 2248 2125 2778
+8583 4 2 0 1 1695 1896 2298 2519
+8584 4 2 0 1 471 2539 1792 2674
+8585 4 2 0 1 261 2456 480 2658
+8586 4 2 0 1 1956 2459 1630 2759
+8587 4 2 0 1 601 2321 1841 2761
+8588 4 2 0 1 1974 2322 1441 2615
+8589 4 2 0 1 2258 2348 1783 2652
+8590 4 2 0 1 782 788 1881 2120
+8591 4 2 0 1 1900 2364 1835 2593
+8592 4 2 0 1 1644 1838 2071 2756
+8593 4 2 0 1 1666 2238 1836 2505
+8594 4 2 0 1 1916 1950 1532 2154
+8595 4 2 0 1 378 362 1847 2464
+8596 4 2 0 1 896 2259 1754 2561
+8597 4 2 0 1 1757 1582 1957 2403
+8598 4 2 0 1 1579 2420 2094 2740
+8599 4 2 0 1 1982 2430 1659 2727
+8600 4 2 0 1 1701 2071 1838 2230
+8601 4 2 0 1 2078 2102 1678 2703
+8602 4 2 0 1 1738 2061 1999 2486
+8603 4 2 0 1 353 1816 383 2525
+8604 4 2 0 1 1748 2162 2382 2738
+8605 4 2 0 1 1760 2012 1642 2263
+8606 4 2 0 1 1635 1852 1962 2460
+8607 4 2 0 1 585 620 587 1937
+8608 4 2 0 1 1671 1874 2230 2427
+8609 4 2 0 1 659 2132 1252 2469
+8610 4 2 0 1 369 2317 1895 2366
+8611 4 2 0 1 2029 2222 1896 2624
+8612 4 2 0 1 1591 2293 2085 2607
+8613 4 2 0 1 315 2123 317 2156
+8614 4 2 0 1 212 2123 363 2489
+8615 4 2 0 1 1654 2096 1751 2636
+8616 4 2 0 1 1882 1605 2315 2735
+8617 4 2 0 1 1318 1374 2013 2042
+8618 4 2 0 1 1489 2387 2094 2620
+8619 4 2 0 1 547 2046 588 2560
+8620 4 2 0 1 1158 482 488 1927
+8621 4 2 0 1 1511 1872 1510 2241
+8622 4 2 0 1 1579 2420 2740 2781
+8623 4 2 0 1 1817 2248 1599 2365
+8624 4 2 0 1 462 256 419 2185
+8625 4 2 0 1 1621 2089 1811 2816
+8626 4 2 0 1 2046 2256 619 2321
+8627 4 2 0 1 1767 2159 1969 2407
+8628 4 2 0 1 852 728 840 2055
+8629 4 2 0 1 1607 2026 1968 2198
+8630 4 2 0 1 1577 1848 1925 2166
+8631 4 2 0 1 1343 2324 1329 2737
+8632 4 2 0 1 1926 2102 1589 2302
+8633 4 2 0 1 1975 2414 1763 2544
+8634 4 2 0 1 555 2281 624 2294
+8635 4 2 0 1 1785 1580 2351 2665
+8636 4 2 0 1 1568 1762 1963 2340
+8637 4 2 0 1 1706 2324 2036 2655
+8638 4 2 0 1 1958 2447 2239 2837
+8639 4 2 0 1 616 1912 2281 2283
+8640 4 2 0 1 2141 2175 1734 2790
+8641 4 2 0 1 558 1476 1447 1937
+8642 4 2 0 1 877 1931 871 2155
+8643 4 2 0 1 1556 1852 2078 2231
+8644 4 2 0 1 1321 1245 1351 2453
+8645 4 2 0 1 1684 2296 1928 2675
+8646 4 2 0 1 1622 1776 2041 2736
+8647 4 2 0 1 1640 1883 2244 2548
+8648 4 2 0 1 2115 2461 1793 2523
+8649 4 2 0 1 1593 2086 2107 2612
+8650 4 2 0 1 2099 1769 2513 2631
+8651 4 2 0 1 1599 2129 1999 2160
+8652 4 2 0 1 1612 1926 2016 2429
+8653 4 2 0 1 1757 1610 2109 2186
+8654 4 2 0 1 1597 2065 1865 2306
+8655 4 2 0 1 1528 1966 2121 2566
+8656 4 2 0 1 1899 2630 2122 2827
+8657 4 2 0 1 1215 2467 1323 2484
+8658 4 2 0 1 652 1972 136 2410
+8659 4 2 0 1 805 717 769 2307
+8660 4 2 0 1 1269 2135 1526 2822
+8661 4 2 0 1 1604 2281 1912 2283
+8662 4 2 0 1 1866 2463 1727 2654
+8663 4 2 0 1 139 2264 138 2419
+8664 4 2 0 1 1644 2380 2286 2391
+8665 4 2 0 1 852 840 828 2186
+8666 4 2 0 1 1463 1994 1287 2178
+8667 4 2 0 1 1291 2462 1464 2775
+8668 4 2 0 1 579 1984 1398 2419
+8669 4 2 0 1 1819 2406 1681 2424
+8670 4 2 0 1 467 2445 246 2498
+8671 4 2 0 1 1644 1967 1965 2391
+8672 4 2 0 1 1534 2292 2219 2673
+8673 4 2 0 1 1682 2364 2593 2807
+8674 4 2 0 1 313 2298 201 2795
+8675 4 2 0 1 1916 1650 2443 2693
+8676 4 2 0 1 1589 2105 1731 2558
+8677 4 2 0 1 1801 2597 1996 2744
+8678 4 2 0 1 1750 1597 2306 2688
+8679 4 2 0 1 2091 2167 1742 2507
+8680 4 2 0 1 1777 2290 1988 2806
+8681 4 2 0 1 1566 1731 2105 2558
+8682 4 2 0 1 1898 1812 2428 2650
+8683 4 2 0 1 1708 2232 2022 2648
+8684 4 2 0 1 1797 2070 1624 2137
+8685 4 2 0 1 1612 2370 2000 2429
+8686 4 2 0 1 220 354 2123 2683
+8687 4 2 0 1 1300 1331 2301 2740
+8688 4 2 0 1 1752 1621 1957 2451
+8689 4 2 0 1 1857 2012 1333 2325
+8690 4 2 0 1 603 1841 529 2169
+8691 4 2 0 1 1801 2242 2005 2699
+8692 4 2 0 1 1724 2160 2152 2385
+8693 4 2 0 1 1582 2149 1811 2163
+8694 4 2 0 1 1638 1759 2310 2515
+8695 4 2 0 1 1102 2054 1029 2202
+8696 4 2 0 1 1145 1115 1139 1994
+8697 4 2 0 1 870 1907 874 2553
+8698 4 2 0 1 1647 1814 2480 2673
+8699 4 2 0 1 1782 1574 2526 2538
+8700 4 2 0 1 1255 1417 1189 2620
+8701 4 2 0 1 1532 1782 2210 2538
+8702 4 2 0 1 1479 1769 1467 2780
+8703 4 2 0 1 1698 2082 2022 2291
+8704 4 2 0 1 1821 1921 1637 2371
+8705 4 2 0 1 563 1955 628 2456
+8706 4 2 0 1 1914 2043 1576 2346
+8707 4 2 0 1 1144 1093 1041 2458
+8708 4 2 0 1 1308 2036 2324 2655
+8709 4 2 0 1 1243 1384 1416 2763
+8710 4 2 0 1 957 898 164 2070
+8711 4 2 0 1 1622 2329 1776 2736
+8712 4 2 0 1 1570 1987 1772 2747
+8713 4 2 0 1 385 2333 475 2407
+8714 4 2 0 1 1851 2431 2237 2633
+8715 4 2 0 1 849 814 1936 2045
+8716 4 2 0 1 822 742 719 2722
+8717 4 2 0 1 1714 2534 2152 2592
+8718 4 2 0 1 1577 1925 1848 2726
+8719 4 2 0 1 1602 2164 1879 2632
+8720 4 2 0 1 2085 2293 1768 2607
+8721 4 2 0 1 1808 2033 1764 2392
+8722 4 2 0 1 1934 2283 1786 2536
+8723 4 2 0 1 1792 1996 1649 2674
+8724 4 2 0 1 430 2127 1737 2679
+8725 4 2 0 1 1559 1999 2160 2758
+8726 4 2 0 1 290 199 316 2448
+8727 4 2 0 1 230 2567 1877 2685
+8728 4 2 0 1 1902 2237 1619 2669
+8729 4 2 0 1 1749 2265 2205 2557
+8730 4 2 0 1 794 754 851 1933
+8731 4 2 0 1 820 1294 716 2379
+8732 4 2 0 1 1560 1893 2199 2245
+8733 4 2 0 1 1589 2208 2102 2794
+8734 4 2 0 1 1760 2358 1924 2441
+8735 4 2 0 1 1798 2094 1352 2387
+8736 4 2 0 1 1121 1175 2138 2191
+8737 4 2 0 1 1866 2654 1689 2743
+8738 4 2 0 1 612 603 560 2236
+8739 4 2 0 1 1905 2397 1659 2727
+8740 4 2 0 1 1650 2372 2100 2693
+8741 4 2 0 1 1654 2591 1748 2636
+8742 4 2 0 1 1773 1666 2386 2440
+8743 4 2 0 1 754 851 1933 2596
+8744 4 2 0 1 1905 2124 259 2397
+8745 4 2 0 1 1555 2014 2329 2736
+8746 4 2 0 1 1300 1837 1469 2740
+8747 4 2 0 1 2121 2460 1744 2794
+8748 4 2 0 1 2409 1902 2641 2826
+8749 4 2 0 1 1469 2301 2146 2620
+8750 4 2 0 1 1618 2069 2246 2725
+8751 4 2 0 1 755 795 709 2144
+8752 4 2 0 1 1371 1373 1234 1760
+8753 4 2 0 1 1859 2647 2005 2699
+8754 4 2 0 1 1703 1851 2731 2758
+8755 4 2 0 1 1318 1217 1374 2042
+8756 4 2 0 1 1559 1999 1738 2545
+8757 4 2 0 1 1764 1974 2615 2754
+8758 4 2 0 1 1281 2303 1787 2339
+8759 4 2 0 1 2118 2354 1641 2547
+8760 4 2 0 1 1741 2226 1837 2781
+8761 4 2 0 1 931 1832 962 2129
+8762 4 2 0 1 1651 1824 2199 2257
+8763 4 2 0 1 1969 2159 1590 2407
+8764 4 2 0 1 1718 2017 1816 2502
+8765 4 2 0 1 1049 1787 1099 2804
+8766 4 2 0 1 298 348 1982 2397
+8767 4 2 0 1 1594 2176 1919 2483
+8768 4 2 0 1 1731 1628 2374 2499
+8769 4 2 0 1 2052 2084 1634 2376
+8770 4 2 0 1 1570 2007 1798 2747
+8771 4 2 0 1 1222 1798 1439 2763
+8772 4 2 0 1 1616 2552 2022 2648
+8773 4 2 0 1 1621 1752 2204 2451
+8774 4 2 0 1 171 505 464 1993
+8775 4 2 0 1 1707 2625 2619 2833
+8776 4 2 0 1 1947 2189 1631 2357
+8777 4 2 0 1 1259 1195 1420 1808
+8778 4 2 0 1 1645 2386 2063 2600
+8779 4 2 0 1 1257 1200 1289 651
+8780 4 2 0 1 1818 2813 2295 2820
+8781 4 2 0 1 1176 2594 1870 2603
+8782 4 2 0 1 1010 164 898 2070
+8783 4 2 0 1 1995 2131 1491 2484
+8784 4 2 0 1 614 541 599 1948
+8785 4 2 0 1 1720 2157 519 2355
+8786 4 2 0 1 198 2277 140 2456
+8787 4 2 0 1 1879 2088 1588 2164
+8788 4 2 0 1 341 2559 1978 2601
+8789 4 2 0 1 539 2046 601 2761
+8790 4 2 0 1 1649 2332 2027 2762
+8791 4 2 0 1 1917 1996 1665 2671
+8792 4 2 0 1 2226 2627 1951 2833
+8793 4 2 0 1 1582 1849 2403 2426
+8794 4 2 0 1 1582 1757 2089 2426
+8795 4 2 0 1 1958 1796 2447 2837
+8796 4 2 0 1 1499 2131 1428 2484
+8797 4 2 0 1 413 353 234 2066
+8798 4 2 0 1 1597 1830 2471 2506
+8799 4 2 0 1 1626 1933 2205 2265
+8800 4 2 0 1 1651 1938 1922 2664
+8801 4 2 0 1 1876 1623 2181 2617
+8802 4 2 0 1 1558 2332 2027 2502
+8803 4 2 0 1 1754 2495 896 2561
+8804 4 2 0 1 863 894 1781 2184
+8805 4 2 0 1 1637 2132 1758 2194
+8806 4 2 0 1 1767 1969 2333 2407
+8807 4 2 0 1 1311 1924 1223 2475
+8808 4 2 0 1 1714 2592 2152 2834
+8809 4 2 0 1 1528 2121 2111 2566
+8810 4 2 0 1 1748 2279 2162 2636
+8811 4 2 0 1 1719 1623 2551 2629
+8812 4 2 0 1 1643 2331 2109 2426
+8813 4 2 0 1 1868 2321 1653 2766
+8814 4 2 0 1 995 904 893 2137
+8815 4 2 0 1 804 753 2267 2288
+8816 4 2 0 1 1900 2168 1682 2296
+8817 4 2 0 1 1837 2076 1755 2740
+8818 4 2 0 1 501 263 740 2217
+8819 4 2 0 1 1883 2187 2548 2648
+8820 4 2 0 1 1588 1871 2067 2632
+8821 4 2 0 1 1689 2220 2050 2348
+8822 4 2 0 1 1933 1685 2690 2718
+8823 4 2 0 1 1611 1802 2031 2271
+8824 4 2 0 1 1816 2017 1718 2635
+8825 4 2 0 1 330 209 402 2328
+8826 4 2 0 1 2407 2657 327 2741
+8827 4 2 0 1 2229 2232 1661 2563
+8828 4 2 0 1 1923 2024 1830 2276
+8829 4 2 0 1 1639 2206 1954 2782
+8830 4 2 0 1 1277 2303 1976 2442
+8831 4 2 0 1 413 187 347 2635
+8832 4 2 0 1 1948 1567 2433 2706
+8833 4 2 0 1 447 209 335 2200
+8834 4 2 0 1 1554 1771 2361 2742
+8835 4 2 0 1 1534 1843 2292 2673
+8836 4 2 0 1 870 1907 993 2462
+8837 4 2 0 1 2534 2592 1714 2834
+8838 4 2 0 1 230 509 1877 2153
+8839 4 2 0 1 252 272 418 1930
+8840 4 2 0 1 1123 1087 1846 2570
+8841 4 2 0 1 1589 2133 1805 2531
+8842 4 2 0 1 1290 822 719 2722
+8843 4 2 0 1 746 1769 750 2631
+8844 4 2 0 1 1548 2254 1748 2636
+8845 4 2 0 1 1540 1899 2417 2827
+8846 4 2 0 1 1082 1863 1126 2570
+8847 4 2 0 1 1956 2139 1702 2630
+8848 4 2 0 1 1560 2290 1988 2413
+8849 4 2 0 1 454 2445 433 2498
+8850 4 2 0 1 671 685 1869 2777
+8851 4 2 0 1 467 2144 2445 2498
+8852 4 2 0 1 276 970 1961 2107
+8853 4 2 0 1 1617 1960 1815 2595
+8854 4 2 0 1 2514 2542 879 2576
+8855 4 2 0 1 2072 2470 1987 2747
+8856 4 2 0 1 1213 1926 1305 2667
+8857 4 2 0 1 855 825 813 2316
+8858 4 2 0 1 540 1825 600 2281
+8859 4 2 0 1 1588 1891 2343 2430
+8860 4 2 0 1 1771 2644 2165 2742
+8861 4 2 0 1 556 2169 656 2390
+8862 4 2 0 1 626 1725 684 2359
+8863 4 2 0 1 1705 2094 1837 2226
+8864 4 2 0 1 706 704 806 2099
+8865 4 2 0 1 1786 2283 1934 2753
+8866 4 2 0 1 2079 2372 2100 2577
+8867 4 2 0 1 1554 2361 2177 2742
+8868 4 2 0 1 1795 2058 1557 2228
+8869 4 2 0 1 1669 1791 2504 2796
+8870 4 2 0 1 1526 1269 1494 2135
+8871 4 2 0 1 1570 2007 1772 2318
+8872 4 2 0 1 1644 2286 1967 2391
+8873 4 2 0 1 418 181 2559 2713
+8874 4 2 0 1 1566 1803 1907 2553
+8875 4 2 0 1 1063 438 1156 2422
+8876 4 2 0 1 186 1761 2127 2327
+8877 4 2 0 1 1947 2268 1829 2357
+8878 4 2 0 1 1891 1532 1950 2154
+8879 4 2 0 1 1795 1577 2621 2726
+8880 4 2 0 1 1604 2093 1916 2753
+8881 4 2 0 1 742 1810 774 2722
+8882 4 2 0 1 1633 1719 2243 2318
+8883 4 2 0 1 1285 1281 1206 2586
+8884 4 2 0 1 1406 1924 1428 2358
+8885 4 2 0 1 2076 2301 1837 2511
+8886 4 2 0 1 1849 1582 1993 2567
+8887 4 2 0 1 1353 1885 1418 2322
+8888 4 2 0 1 1810 1933 2690 2718
+8889 4 2 0 1 1702 2139 1956 2546
+8890 4 2 0 1 1621 1811 2204 2816
+8891 4 2 0 1 1551 2074 1953 2532
+8892 4 2 0 1 1487 1283 2419 2435
+8893 4 2 0 1 1275 1749 1444 2557
+8894 4 2 0 1 1550 2418 1941 2623
+8895 4 2 0 1 1590 1802 2270 2528
+8896 4 2 0 1 647 2192 567 2786
+8897 4 2 0 1 1588 1879 2164 2632
+8898 4 2 0 1 1676 2614 2005 2669
+8899 4 2 0 1 1431 561 1423 2294
+8900 4 2 0 1 1768 2293 2113 2517
+8901 4 2 0 1 1532 2343 2258 2546
+8902 4 2 0 1 2089 2203 1621 2304
+8903 4 2 0 1 1832 1599 2248 2365
+8904 4 2 0 1 958 954 278 2327
+8905 4 2 0 1 1578 1905 2124 2457
+8906 4 2 0 1 1310 1788 1223 2441
+8907 4 2 0 1 2295 2813 1717 2820
+8908 4 2 0 1 1826 2055 2529 2784
+8909 4 2 0 1 1531 1940 1981 2368
+8910 4 2 0 1 1827 2335 2182 2800
+8911 4 2 0 1 690 2028 814 2045
+8912 4 2 0 1 809 848 1855 2378
+8913 4 2 0 1 1099 1787 2414 2804
+8914 4 2 0 1 1561 2011 2572 2746
+8915 4 2 0 1 2032 2252 1928 2651
+8916 4 2 0 1 1574 2050 1750 2454
+8917 4 2 0 1 410 1965 1967 2752
+8918 4 2 0 1 1763 2119 2114 2255
+8919 4 2 0 1 2270 2449 1657 2838
+8920 4 2 0 1 1299 2036 1821 2475
+8921 4 2 0 1 1444 1193 1389 2008
+8922 4 2 0 1 291 200 2298 2741
+8923 4 2 0 1 1601 2085 2480 2673
+8924 4 2 0 1 1613 2466 1851 2487
+8925 4 2 0 1 1126 2202 1863 2564
+8926 4 2 0 1 1126 2202 1137 2570
+8927 4 2 0 1 1436 979 2057 2462
+8928 4 2 0 1 1570 1987 1807 2318
+8929 4 2 0 1 1772 2550 1893 2751
+8930 4 2 0 1 1652 2009 2197 2250
+8931 4 2 0 1 204 2005 373 2647
+8932 4 2 0 1 1675 1880 2266 2701
+8933 4 2 0 1 1648 2079 2100 2577
+8934 4 2 0 1 1348 2076 1339 2383
+8935 4 2 0 1 787 774 2529 2722
+8936 4 2 0 1 1940 2554 1670 2735
+8937 4 2 0 1 1753 2373 1980 2633
+8938 4 2 0 1 237 520 2409 2826
+8939 4 2 0 1 1620 2599 1804 2707
+8940 4 2 0 1 1468 1518 1984 2686
+8941 4 2 0 1 1660 2238 1901 2505
+8942 4 2 0 1 1644 2297 1967 2380
+8943 4 2 0 1 221 359 1947 2683
+8944 4 2 0 1 1649 1816 2027 2332
+8945 4 2 0 1 1317 2018 1388 2788
+8946 4 2 0 1 413 2106 187 2635
+8947 4 2 0 1 377 2066 234 2404
+8948 4 2 0 1 1307 2057 1498 2241
+8949 4 2 0 1 545 594 675 2260
+8950 4 2 0 1 332 200 2222 2298
+8951 4 2 0 1 1289 1828 651 2812
+8952 4 2 0 1 1734 2175 1836 2790
+8953 4 2 0 1 1624 2137 2070 2287
+8954 4 2 0 1 1693 2213 1796 2577
+8955 4 2 0 1 2027 2332 1747 2762
+8956 4 2 0 1 787 2135 699 2722
+8957 4 2 0 1 1616 2244 2540 2627
+8958 4 2 0 1 1787 2303 1281 2586
+8959 4 2 0 1 691 1890 803 2288
+8960 4 2 0 1 485 2017 393 2635
+8961 4 2 0 1 839 746 838 2379
+8962 4 2 0 1 1555 2659 1858 2787
+8963 4 2 0 1 2000 2037 1613 2429
+8964 4 2 0 1 1822 2253 765 2555
+8965 4 2 0 1 2036 1679 2454 2712
+8966 4 2 0 1 1726 2235 1912 2283
+8967 4 2 0 1 914 867 936 1961
+8968 4 2 0 1 332 2222 1896 2298
+8969 4 2 0 1 431 416 451 2610
+8970 4 2 0 1 1530 1958 1796 2447
+8971 4 2 0 1 1951 2226 1544 2627
+8972 4 2 0 1 1789 1557 2058 2228
+8973 4 2 0 1 1583 1981 1940 2789
+8974 4 2 0 1 1639 2104 1954 2206
+8975 4 2 0 1 1948 1845 2260 2706
+8976 4 2 0 1 1729 2477 1946 2637
+8977 4 2 0 1 2319 2423 1738 2545
+8978 4 2 0 1 1785 2265 1685 2634
+8979 4 2 0 1 246 2445 454 2498
+8980 4 2 0 1 2100 2443 1650 2693
+8981 4 2 0 1 1682 2593 1969 2807
+8982 4 2 0 1 1679 2011 1834 2746
+8983 4 2 0 1 1033 1126 1863 2564
+8984 4 2 0 1 1546 1919 1898 2650
+8985 4 2 0 1 1893 2245 1560 2550
+8986 4 2 0 1 1128 2140 1173 2274
+8987 4 2 0 1 746 2379 1769 2631
+8988 4 2 0 1 1004 1832 929 2280
+8989 4 2 0 1 1870 2232 1661 2603
+8990 4 2 0 1 1885 2322 2008 2711
+8991 4 2 0 1 1574 1921 1821 2811
+8992 4 2 0 1 1855 2028 1713 2585
+8993 4 2 0 1 1544 2182 2335 2800
+8994 4 2 0 1 1955 2277 141 2732
+8995 4 2 0 1 1693 2079 2014 2577
+8996 4 2 0 1 1554 2616 2152 2834
+8997 4 2 0 1 560 603 529 2169
+8998 4 2 0 1 1913 1930 1606 2559
+8999 4 2 0 1 1765 1629 2068 2341
+9000 4 2 0 1 1350 2379 838 2631
+9001 4 2 0 1 1554 2152 2592 2834
+9002 4 2 0 1 301 291 1997 2741
+9003 4 2 0 1 1532 1891 1950 2430
+9004 4 2 0 1 1512 2177 1194 2822
+9005 4 2 0 1 1817 2553 1566 2778
+9006 4 2 0 1 1653 2314 2122 2723
+9007 4 2 0 1 1645 1876 2039 2509
+9008 4 2 0 1 1921 2210 1783 2459
+9009 4 2 0 1 1782 2235 2093 2526
+9010 4 2 0 1 1559 1716 2423 2490
+9011 4 2 0 1 1857 2044 1214 2453
+9012 4 2 0 1 1692 1839 2665 2754
+9013 4 2 0 1 2066 2068 1629 2341
+9014 4 2 0 1 1584 1848 2083 2315
+9015 4 2 0 1 1529 2187 2244 2540
+9016 4 2 0 1 2405 2424 1681 2642
+9017 4 2 0 1 648 132 654 2830
+9018 4 2 0 1 1756 2646 2025 2660
+9019 4 2 0 1 1764 2615 1974 2835
+9020 4 2 0 1 1476 1460 1447 1937
+9021 4 2 0 1 1841 1653 2314 2321
+9022 4 2 0 1 462 419 1736 2185
+9023 4 2 0 1 791 151 2109 2628
+9024 4 2 0 1 1619 1877 1800 2409
+9025 4 2 0 1 619 2046 547 2256
+9026 4 2 0 1 1659 2211 1778 2653
+9027 4 2 0 1 1745 2238 1617 2282
+9028 4 2 0 1 488 476 1069 2424
+9029 4 2 0 1 1548 2224 1812 2708
+9030 4 2 0 1 1728 2227 1827 2335
+9031 4 2 0 1 1719 2609 2289 2629
+9032 4 2 0 1 1679 1774 2453 2737
+9033 4 2 0 1 1161 2594 2384 2769
+9034 4 2 0 1 1793 2160 2129 2461
+9035 4 2 0 1 1738 1919 2176 2483
+9036 4 2 0 1 677 600 1825 2281
+9037 4 2 0 1 1652 2197 2009 2390
+9038 4 2 0 1 1951 1705 2627 2755
+9039 4 2 0 1 1743 1530 2213 2354
+9040 4 2 0 1 209 1982 402 2328
+9041 4 2 0 1 1832 1593 1999 2073
+9042 4 2 0 1 1933 2171 1626 2205
+9043 4 2 0 1 543 549 662 2569
+9044 4 2 0 1 1725 2359 2481 2569
+9045 4 2 0 1 1616 2627 1886 2755
+9046 4 2 0 1 1267 1266 1268 1708
+9047 4 2 0 1 1862 2089 1535 2439
+9048 4 2 0 1 2113 2293 1722 2517
+9049 4 2 0 1 1675 2401 2471 2750
+9050 4 2 0 1 1559 2160 1793 2731
+9051 4 2 0 1 2252 2651 2032 2678
+9052 4 2 0 1 193 524 267 2209
+9053 4 2 0 1 1657 2113 1932 2449
+9054 4 2 0 1 1085 1775 2191 2584
+9055 4 2 0 1 2158 2636 1748 2738
+9056 4 2 0 1 1601 2418 2085 2673
+9057 4 2 0 1 409 2084 311 2574
+9058 4 2 0 1 1759 2183 1530 2471
+9059 4 2 0 1 1886 2540 2244 2627
+9060 4 2 0 1 1764 2615 2051 2754
+9061 4 2 0 1 2090 2407 1969 2657
+9062 4 2 0 1 390 2407 2333 2657
+9063 4 2 0 1 2351 2615 1974 2754
+9064 4 2 0 1 1795 2228 2108 2541
+9065 4 2 0 1 1913 1978 326 2559
+9066 4 2 0 1 1680 1934 2154 2753
+9067 4 2 0 1 1555 2347 1858 2659
+9068 4 2 0 1 1111 2488 2054 2626
+9069 4 2 0 1 1003 922 1000 1790
+9070 4 2 0 1 2058 2357 1910 2681
+9071 4 2 0 1 592 547 588 2560
+9072 4 2 0 1 1556 1986 2037 2231
+9073 4 2 0 1 1037 1150 1031 2565
+9074 4 2 0 1 715 784 2217 2714
+9075 4 2 0 1 1537 1963 2243 2739
+9076 4 2 0 1 780 1855 2436 2501
+9077 4 2 0 1 1544 2226 1951 2833
+9078 4 2 0 1 287 1007 970 2107
+9079 4 2 0 1 1111 2054 1098 2626
+9080 4 2 0 1 1610 2331 2160 2731
+9081 4 2 0 1 1630 2154 1934 2753
+9082 4 2 0 1 1972 2410 2282 2777
+9083 4 2 0 1 477 274 265 2612
+9084 4 2 0 1 2529 2690 2034 2718
+9085 4 2 0 1 2082 2243 1719 2318
+9086 4 2 0 1 387 1902 318 2669
+9087 4 2 0 1 1439 1222 1352 1798
+9088 4 2 0 1 997 1507 157 2184
+9089 4 2 0 1 313 1732 2353 2795
+9090 4 2 0 1 1568 1878 2047 2252
+9091 4 2 0 1 1582 2089 1811 2149
+9092 4 2 0 1 567 647 600 2192
+9093 4 2 0 1 1132 286 500 1904
+9094 4 2 0 1 1675 2401 2065 2471
+9095 4 2 0 1 1151 2416 1057 2709
+9096 4 2 0 1 1624 2076 1872 2254
+9097 4 2 0 1 510 592 514 2359
+9098 4 2 0 1 930 948 2233 2553
+9099 4 2 0 1 1666 1901 2238 2505
+9100 4 2 0 1 760 797 802 2585
+9101 4 2 0 1 1560 1777 2413 2707
+9102 4 2 0 1 1585 1880 2447 2750
+9103 4 2 0 1 2089 2363 1862 2426
+9104 4 2 0 1 1409 1253 1824 2751
+9105 4 2 0 1 1082 1163 1863 2384
+9106 4 2 0 1 1356 1404 1179 2007
+9107 4 2 0 1 1729 2209 1952 2793
+9108 4 2 0 1 1564 1867 2118 2829
+9109 4 2 0 1 175 471 1792 2674
+9110 4 2 0 1 1632 2114 1876 2223
+9111 4 2 0 1 660 2283 682 2497
+9112 4 2 0 1 1573 2139 1956 2630
+9113 4 2 0 1 894 1781 2184 2670
+9114 4 2 0 1 1653 2122 2473 2723
+9115 4 2 0 1 2144 2267 1690 2498
+9116 4 2 0 1 1345 1821 2194 2467
+9117 4 2 0 1 2094 2387 1705 2620
+9118 4 2 0 1 2066 2068 2341 2404
+9119 4 2 0 1 1583 1823 1964 2622
+9120 4 2 0 1 301 2002 1997 2605
+9121 4 2 0 1 721 150 791 2628
+9122 4 2 0 1 1669 1844 1962 2078
+9123 4 2 0 1 1939 2123 1591 2353
+9124 4 2 0 1 1719 1633 2148 2318
+9125 4 2 0 1 390 2333 2090 2657
+9126 4 2 0 1 584 1809 644 2658
+9127 4 2 0 1 2461 2523 945 2637
+9128 4 2 0 1 674 2180 1868 2672
+9129 4 2 0 1 1791 2143 1611 2504
+9130 4 2 0 1 1715 1940 1981 2789
+9131 4 2 0 1 1750 1865 2306 2308
+9132 4 2 0 1 1617 2003 1960 2595
+9133 4 2 0 1 1610 2363 1862 2439
+9134 4 2 0 1 1544 2625 2188 2800
+9135 4 2 0 1 626 678 684 1725
+9136 4 2 0 1 693 692 799 1942
+9137 4 2 0 1 1835 2270 1932 2449
+9138 4 2 0 1 255 499 395 2438
+9139 4 2 0 1 607 1972 2236 2390
+9140 4 2 0 1 1815 1596 2350 2745
+9141 4 2 0 1 616 2281 632 2283
+9142 4 2 0 1 899 2165 1781 2670
+9143 4 2 0 1 1569 2237 1851 2490
+9144 4 2 0 1 587 620 546 2367
+9145 4 2 0 1 1664 2221 1873 2259
+9146 4 2 0 1 674 530 1868 2180
+9147 4 2 0 1 1544 2188 1827 2800
+9148 4 2 0 1 1586 1835 1932 2309
+9149 4 2 0 1 1866 2112 1818 2831
+9150 4 2 0 1 1657 2449 1997 2568
+9151 4 2 0 1 1564 1753 2352 2829
+9152 4 2 0 1 1694 2123 2219 2832
+9153 4 2 0 1 1910 2189 1603 2357
+9154 4 2 0 1 744 2041 781 2379
+9155 4 2 0 1 1778 314 2211 2815
+9156 4 2 0 1 2163 2532 1811 2702
+9157 4 2 0 1 1761 251 2612 2803
+9158 4 2 0 1 1551 2532 2163 2702
+9159 4 2 0 1 1619 1862 2149 2431
+9160 4 2 0 1 690 2028 2045 2378
+9161 4 2 0 1 1661 2232 2095 2603
+9162 4 2 0 1 1852 1962 1669 2583
+9163 4 2 0 1 1599 1911 2486 2778
+9164 4 2 0 1 1640 1951 1883 2810
+9165 4 2 0 1 2169 2236 1652 2390
+9166 4 2 0 1 1541 2143 1938 2520
+9167 4 2 0 1 1647 2465 1941 2480
+9168 4 2 0 1 1652 2250 2197 2390
+9169 4 2 0 1 818 2267 753 2585
+9170 4 2 0 1 1863 2025 1575 2817
+9171 4 2 0 1 1596 1960 2003 2595
+9172 4 2 0 1 1687 2023 1894 2444
+9173 4 2 0 1 1613 2566 1980 2633
+9174 4 2 0 1 1567 2481 2207 2580
+9175 4 2 0 1 302 1823 2262 2395
+9176 4 2 0 1 1830 2372 2183 2506
+9177 4 2 0 1 939 911 2591 2715
+9178 4 2 0 1 1791 2065 2271 2602
+9179 4 2 0 1 1442 1312 1922 2493
+9180 4 2 0 1 1708 2022 2552 2648
+9181 4 2 0 1 1862 2363 2089 2439
+9182 4 2 0 1 1915 1989 1605 2355
+9183 4 2 0 1 1642 2234 1885 2325
+9184 4 2 0 1 1687 2576 2317 2679
+9185 4 2 0 1 810 1957 2307 2451
+9186 4 2 0 1 1529 1888 2300 2774
+9187 4 2 0 1 1642 2008 1906 2711
+9188 4 2 0 1 428 1897 213 2472
+9189 4 2 0 1 1811 2547 1551 2611
+9190 4 2 0 1 203 327 2407 2657
+9191 4 2 0 1 1651 2257 2664 2704
+9192 4 2 0 1 1059 1023 2140 2346
+9193 4 2 0 1 507 2128 438 2422
+9194 4 2 0 1 1574 1750 2308 2454
+9195 4 2 0 1 1721 2070 1664 2188
+9196 4 2 0 1 2178 2223 1708 2232
+9197 4 2 0 1 2062 2262 1720 2355
+9198 4 2 0 1 1950 2154 1916 2802
+9199 4 2 0 1 1536 2047 2313 2427
+9200 4 2 0 1 230 511 2567 2685
+9201 4 2 0 1 2035 2537 1721 2734
+9202 4 2 0 1 1711 2119 2114 2817
+9203 4 2 0 1 1932 1980 1635 2838
+9204 4 2 0 1 1310 1188 2036 2284
+9205 4 2 0 1 1669 2143 1791 2796
+9206 4 2 0 1 1800 2685 1877 2793
+9207 4 2 0 1 1213 1372 1305 1926
+9208 4 2 0 1 1604 2093 2235 2526
+9209 4 2 0 1 805 2034 824 2307
+9210 4 2 0 1 500 170 504 1904
+9211 4 2 0 1 1666 1836 2249 2505
+9212 4 2 0 1 1908 2358 1241 2485
+9213 4 2 0 1 1343 1834 1227 2324
+9214 4 2 0 1 2111 2320 1714 2834
+9215 4 2 0 1 1771 1554 2385 2742
+9216 4 2 0 1 872 876 921 2279
+9217 4 2 0 1 1557 2108 1795 2228
+9218 4 2 0 1 2467 2475 1627 2484
+9219 4 2 0 1 991 152 897 2115
+9220 4 2 0 1 1740 2099 1936 2608
+9221 4 2 0 1 1998 2118 1608 2266
+9222 4 2 0 1 1666 1901 2505 2600
+9223 4 2 0 1 1066 1508 1519 2696
+9224 4 2 0 1 149 150 721 2338
+9225 4 2 0 1 1775 1587 2191 2584
+9226 4 2 0 1 1711 2126 1853 2710
+9227 4 2 0 1 1584 2166 1848 2575
+9228 4 2 0 1 2084 2159 452 2323
+9229 4 2 0 1 2159 2528 2376 2807
+9230 4 2 0 1 150 976 151 1946
+9231 4 2 0 1 592 666 1831 2359
+9232 4 2 0 1 1858 1906 1626 2608
+9233 4 2 0 1 1588 1891 2067 2343
+9234 4 2 0 1 1949 2250 1652 2790
+9235 4 2 0 1 1615 2162 1751 2636
+9236 4 2 0 1 949 900 862 2637
+9237 4 2 0 1 1239 1441 1383 2322
+9238 4 2 0 1 765 2253 808 2555
+9239 4 2 0 1 1291 1464 1008 2775
+9240 4 2 0 1 1647 2480 2085 2673
+9241 4 2 0 1 1153 1994 1139 2582
+9242 4 2 0 1 681 593 1766 2663
+9243 4 2 0 1 1241 2379 1479 2780
+9244 4 2 0 1 1178 2455 2201 2737
+9245 4 2 0 1 644 590 658 2610
+9246 4 2 0 1 1558 1985 2377 2773
+9247 4 2 0 1 389 412 490 1918
+9248 4 2 0 1 1596 1815 1960 2595
+9249 4 2 0 1 1535 1839 2203 2665
+9250 4 2 0 1 877 871 994 2155
+9251 4 2 0 1 1363 2042 1354 2342
+9252 4 2 0 1 857 2129 962 2365
+9253 4 2 0 1 2094 2226 1579 2781
+9254 4 2 0 1 440 2328 232 2819
+9255 4 2 0 1 718 2555 689 2649
+9256 4 2 0 1 2079 2329 1776 2375
+9257 4 2 0 1 561 580 1423 2294
+9258 4 2 0 1 1708 2552 2232 2648
+9259 4 2 0 1 1544 1827 2182 2800
+9260 4 2 0 1 1540 2417 2071 2756
+9261 4 2 0 1 1573 2010 2452 2630
+9262 4 2 0 1 1784 2300 1586 2309
+9263 4 2 0 1 1471 1187 1475 2383
+9264 4 2 0 1 1637 2294 2132 2467
+9265 4 2 0 1 816 729 847 2425
+9266 4 2 0 1 570 1912 2283 2497
+9267 4 2 0 1 1691 1988 1987 2388
+9268 4 2 0 1 1057 1929 2394 2709
+9269 4 2 0 1 1277 1840 1500 2586
+9270 4 2 0 1 1651 1824 2257 2704
+9271 4 2 0 1 721 2338 150 2628
+9272 4 2 0 1 689 2555 2253 2649
+9273 4 2 0 1 1549 1887 2195 2617
+9274 4 2 0 1 2111 2466 2000 2616
+9275 4 2 0 1 2051 2615 1810 2718
+9276 4 2 0 1 1960 2060 1617 2410
+9277 4 2 0 1 1579 2740 2094 2781
+9278 4 2 0 1 1948 2260 638 2400
+9279 4 2 0 1 383 2030 297 2525
+9280 4 2 0 1 1635 1962 1932 2623
+9281 4 2 0 1 2033 2392 1808 2834
+9282 4 2 0 1 1661 2223 2178 2232
+9283 4 2 0 1 1583 1904 2054 2225
+9284 4 2 0 1 1532 1779 2258 2343
+9285 4 2 0 1 1683 2398 1856 2527
+9286 4 2 0 1 1850 2270 2080 2528
+9287 4 2 0 1 1257 1430 1360 1828
+9288 4 2 0 1 1076 1913 1035 2642
+9289 4 2 0 1 1867 2352 2149 2431
+9290 4 2 0 1 1843 1615 2221 2492
+9291 4 2 0 1 1848 2062 1720 2805
+9292 4 2 0 1 1272 2177 1204 2299
+9293 4 2 0 1 300 297 383 2776
+9294 4 2 0 1 193 274 521 1961
+9295 4 2 0 1 2543 2768 1746 2814
+9296 4 2 0 1 1035 1930 1154 2170
+9297 4 2 0 1 1897 2297 1644 2380
+9298 4 2 0 1 1571 2204 1953 2532
+9299 4 2 0 1 468 757 789 831
+9300 4 2 0 1 715 771 784 2714
+9301 4 2 0 1 1586 2290 1962 2583
+9302 4 2 0 1 1939 2353 2293 2607
+9303 4 2 0 1 1712 2102 1926 2765
+9304 4 2 0 1 1553 1783 1956 2459
+9305 4 2 0 1 760 802 809 1855
+9306 4 2 0 1 885 276 521 282
+9307 4 2 0 1 2120 2345 1955 2705
+9308 4 2 0 1 152 897 2115 2523
+9309 4 2 0 1 899 1781 894 2670
+9310 4 2 0 1 1575 1853 2509 2817
+9311 4 2 0 1 1586 1970 2290 2583
+9312 4 2 0 1 141 2277 830 2732
+9313 4 2 0 1 1441 1974 1383 2322
+9314 4 2 0 1 1562 2141 2175 2193
+9315 4 2 0 1 1672 2208 1971 2411
+9316 4 2 0 1 928 965 2162 2591
+9317 4 2 0 1 1991 2596 752 2677
+9318 4 2 0 1 960 860 887 2382
+9319 4 2 0 1 1712 2320 2111 2429
+9320 4 2 0 1 1983 1997 1657 2605
+9321 4 2 0 1 1954 2194 1347 2655
+9322 4 2 0 1 1773 1598 2249 2440
+9323 4 2 0 1 1018 2138 1175 2191
+9324 4 2 0 1 1593 2319 1738 2545
+9325 4 2 0 1 1527 2295 2651 2813
+9326 4 2 0 1 1571 2136 1858 2347
+9327 4 2 0 1 1731 2374 1628 2534
+9328 4 2 0 1 255 410 499 1967
+9329 4 2 0 1 731 2055 792 2135
+9330 4 2 0 1 2273 2414 1787 2716
+9331 4 2 0 1 1548 1741 2158 2511
+9332 4 2 0 1 1583 1904 2092 2622
+9333 4 2 0 1 1122 1017 1091 1746
+9334 4 2 0 1 1752 2204 2288 2532
+9335 4 2 0 1 1610 1771 2115 2186
+9336 4 2 0 1 1215 2475 2467 2484
+9337 4 2 0 1 1642 2234 2325 2515
+9338 4 2 0 1 2191 2384 1161 2594
+9339 4 2 0 1 1555 2608 1906 2787
+9340 4 2 0 1 638 649 594 1948
+9341 4 2 0 1 1657 1932 2113 2838
+9342 4 2 0 1 2075 2660 2025 2817
+9343 4 2 0 1 1810 2529 774 2722
+9344 4 2 0 1 1891 2154 1950 2433
+9345 4 2 0 1 1650 2506 1958 2837
+9346 4 2 0 1 960 887 2259 2382
+9347 4 2 0 1 1891 1950 1655 2433
+9348 4 2 0 1 1593 2073 1832 2280
+9349 4 2 0 1 1744 2121 1941 2402
+9350 4 2 0 1 1789 2058 1631 2748
+9351 4 2 0 1 365 1859 183 2669
+9352 4 2 0 1 811 1855 780 2501
+9353 4 2 0 1 720 821 464 1993
+9354 4 2 0 1 1899 1567 2139 2580
+9355 4 2 0 1 1564 2352 1867 2829
+9356 4 2 0 1 133 569 1960 2350
+9357 4 2 0 1 1324 1227 1374 2013
+9358 4 2 0 1 1833 2150 1779 2688
+9359 4 2 0 1 1121 2191 2138 2584
+9360 4 2 0 1 1767 2159 2084 2376
+9361 4 2 0 1 1796 1958 2506 2837
+9362 4 2 0 1 1789 1631 2269 2748
+9363 4 2 0 1 1373 2012 1232 2441
+9364 4 2 0 1 815 752 803 1991
+9365 4 2 0 1 1189 1417 1483 2620
+9366 4 2 0 1 329 419 168 2399
+9367 4 2 0 1 783 2109 842 2186
+9368 4 2 0 1 1333 1214 1857 2325
+9369 4 2 0 1 2091 2442 1609 2721
+9370 4 2 0 1 1428 1456 1924 2087
+9371 4 2 0 1 1690 2404 2144 2445
+9372 4 2 0 1 1585 2027 2239 2447
+9373 4 2 0 1 2017 2502 1718 2773
+9374 4 2 0 1 1664 1721 2537 2734
+9375 4 2 0 1 1751 1790 2562 2695
+9376 4 2 0 1 614 584 541 2530
+9377 4 2 0 1 772 2041 716 2666
+9378 4 2 0 1 1877 2685 1643 2793
+9379 4 2 0 1 1726 2283 1912 2497
+9380 4 2 0 1 861 881 899 2589
+9381 4 2 0 1 603 1841 601 2321
+9382 4 2 0 1 1778 2211 2397 2815
+9383 4 2 0 1 822 1210 835 748
+9384 4 2 0 1 1728 2227 2335 2656
+9385 4 2 0 1 1469 1837 2301 2620
+9386 4 2 0 1 1776 2329 2014 2736
+9387 4 2 0 1 1380 1824 1409 2381
+9388 4 2 0 1 1557 2108 2228 2541
+9389 4 2 0 1 1728 1886 2244 2627
+9390 4 2 0 1 2083 2151 1656 2216
+9391 4 2 0 1 984 888 2129 2589
+9392 4 2 0 1 1243 2289 1378 2767
+9393 4 2 0 1 1630 2706 1948 2786
+9394 4 2 0 1 1123 1975 1846 2491
+9395 4 2 0 1 1567 2260 2139 2706
+9396 4 2 0 1 1840 2195 1887 2617
+9397 4 2 0 1 179 427 407 2097
+9398 4 2 0 1 1245 2453 1774 2737
+9399 4 2 0 1 2621 2726 1577 2805
+9400 4 2 0 1 1561 2654 2013 2746
+9401 4 2 0 1 805 769 840 1826
+9402 4 2 0 1 901 2287 2137 2715
+9403 4 2 0 1 646 2009 2169 2587
+9404 4 2 0 1 1630 1956 2139 2546
+9405 4 2 0 1 1345 2194 1821 2655
+9406 4 2 0 1 938 869 2101 2251
+9407 4 2 0 1 1554 2644 2385 2742
+9408 4 2 0 1 1469 1837 1300 2301
+9409 4 2 0 1 1851 2431 2110 2487
+9410 4 2 0 1 2183 2471 1830 2506
+9411 4 2 0 1 1726 1662 2212 2360
+9412 4 2 0 1 1757 2109 2426 2628
+9413 4 2 0 1 564 648 654 2830
+9414 4 2 0 1 1549 2195 1887 2600
+9415 4 2 0 1 2290 2583 1970 2796
+9416 4 2 0 1 984 1889 933 2589
+9417 4 2 0 1 2409 2490 1902 2826
+9418 4 2 0 1 2276 2284 2036 2712
+9419 4 2 0 1 1264 1933 1276 2171
+9420 4 2 0 1 2379 2485 1908 2780
+9421 4 2 0 1 1612 1808 2018 2834
+9422 4 2 0 1 453 2404 1792 2445
+9423 4 2 0 1 1752 2532 2267 2702
+9424 4 2 0 1 1527 2116 2032 2651
+9425 4 2 0 1 1559 1738 2423 2545
+9426 4 2 0 1 1398 579 1460 1984
+9427 4 2 0 1 1983 2614 1676 2669
+9428 4 2 0 1 1310 2284 1788 2441
+9429 4 2 0 1 559 632 1934 2283
+9430 4 2 0 1 787 731 699 2135
+9431 4 2 0 1 1637 2132 2294 2393
+9432 4 2 0 1 1200 591 651 2053
+9433 4 2 0 1 782 727 788 2120
+9434 4 2 0 1 1659 2211 1982 2397
+9435 4 2 0 1 1548 2158 2254 2511
+9436 4 2 0 1 1827 2227 1728 2800
+9437 4 2 0 1 1775 1658 2535 2565
+9438 4 2 0 1 1779 1833 2088 2430
+9439 4 2 0 1 1624 2301 2076 2511
+9440 4 2 0 1 2051 2615 1764 2835
+9441 4 2 0 1 2162 2279 1748 2591
+9442 4 2 0 1 1818 2295 1717 2820
+9443 4 2 0 1 666 543 1831 2569
+9444 4 2 0 1 1898 1919 1546 2389
+9445 4 2 0 1 1253 1893 1401 2201
+9446 4 2 0 1 858 1001 2125 2562
+9447 4 2 0 1 431 1725 416 2610
+9448 4 2 0 1 1928 2032 1598 2252
+9449 4 2 0 1 1163 2384 1150 2565
+9450 4 2 0 1 1849 1877 2567 2685
+9451 4 2 0 1 1608 2334 2266 2701
+9452 4 2 0 1 1793 2461 2129 2637
+9453 4 2 0 1 949 936 880 2073
+9454 4 2 0 1 1573 2010 1956 2496
+9455 4 2 0 1 1194 2033 1440 2835
+9456 4 2 0 1 428 399 242 2472
+9457 4 2 0 1 1812 2224 2096 2708
+9458 4 2 0 1 678 550 545 2400
+9459 4 2 0 1 394 1905 259 2397
+9460 4 2 0 1 1750 2050 1783 2348
+9461 4 2 0 1 1602 1879 2185 2632
+9462 4 2 0 1 1850 2002 235 2605
+9463 4 2 0 1 2188 2700 1827 2800
+9464 4 2 0 1 1284 1526 2135 2822
+9465 4 2 0 1 1539 1876 2114 2223
+9466 4 2 0 1 861 899 2165 2589
+9467 4 2 0 1 813 1752 2267 2316
+9468 4 2 0 1 1601 2227 1945 2418
+9469 4 2 0 1 1399 2201 1992 2337
+9470 4 2 0 1 1520 1204 2177 2184
+9471 4 2 0 1 1881 788 2508 2732
+9472 4 2 0 1 527 516 149 2338
+9473 4 2 0 1 1988 2290 1777 2413
+9474 4 2 0 1 1548 2208 1805 2708
+9475 4 2 0 1 2168 2295 1777 2527
+9476 4 2 0 1 932 941 887 1873
+9477 4 2 0 1 960 2382 2259 2734
+9478 4 2 0 1 1026 1073 1914 2095
+9479 4 2 0 1 1618 2206 2069 2725
+9480 4 2 0 1 1489 1255 2387 2620
+9481 4 2 0 1 798 801 693 1942
+9482 4 2 0 1 782 2161 1881 2555
+9483 4 2 0 1 1711 2075 2384 2817
+9484 4 2 0 1 2093 2100 1662 2360
+9485 4 2 0 1 746 838 2379 2631
+9486 4 2 0 1 1527 2168 2296 2311
+9487 4 2 0 1 2422 2488 1723 2503
+9488 4 2 0 1 267 449 1952 2826
+9489 4 2 0 1 477 287 276 2107
+9490 4 2 0 1 2150 2308 1782 2538
+9491 4 2 0 1 818 705 1765 2585
+9492 4 2 0 1 1710 2518 2095 2603
+9493 4 2 0 1 1841 2314 2141 2728
+9494 4 2 0 1 1616 2540 1886 2627
+9495 4 2 0 1 467 454 246 2445
+9496 4 2 0 1 1579 1886 2226 2760
+9497 4 2 0 1 1554 1839 2361 2385
+9498 4 2 0 1 2163 2445 1977 2539
+9499 4 2 0 1 477 1961 274 2107
+9500 4 2 0 1 1883 1951 1576 2810
+9501 4 2 0 1 1776 1622 2041 2375
+9502 4 2 0 1 1564 1880 2242 2701
+9503 4 2 0 1 1382 2137 1357 2715
+9504 4 2 0 1 1536 2047 1866 2463
+9505 4 2 0 1 1731 2374 1395 2720
+9506 4 2 0 1 267 466 180 2826
+9507 4 2 0 1 1680 2345 1884 2530
+9508 4 2 0 1 1950 2150 2430 2682
+9509 4 2 0 1 2005 2242 1634 2699
+9510 4 2 0 1 1698 2015 2291 2540
+9511 4 2 0 1 1759 1530 2266 2471
+9512 4 2 0 1 1115 1478 1139 1994
+9513 4 2 0 1 1813 2067 1891 2580
+9514 4 2 0 1 1764 2392 2370 2754
+9515 4 2 0 1 1741 2700 2188 2800
+9516 4 2 0 1 1277 1840 2303 2442
+9517 4 2 0 1 794 1264 1201 2171
+9518 4 2 0 1 2207 2399 1668 2472
+9519 4 2 0 1 923 2057 967 2241
+9520 4 2 0 1 1216 1340 1347 1954
+9521 4 2 0 1 1474 904 1402 2137
+9522 4 2 0 1 1546 1737 2023 2134
+9523 4 2 0 1 290 293 2062 2262
+9524 4 2 0 1 1569 1851 2423 2490
+9525 4 2 0 1 2160 2385 1703 2616
+9526 4 2 0 1 1715 1940 2003 2368
+9527 4 2 0 1 1151 162 2035 2416
+9528 4 2 0 1 2142 2167 1878 2356
+9529 4 2 0 1 579 1398 578 2419
+9530 4 2 0 1 1801 2647 204 2744
+9531 4 2 0 1 175 1792 2404 2674
+9532 4 2 0 1 1881 2161 1648 2555
+9533 4 2 0 1 2490 2641 1902 2826
+9534 4 2 0 1 1811 2702 2532 2816
+9535 4 2 0 1 1656 2548 2126 2578
+9536 4 2 0 1 1745 2733 2522 2777
+9537 4 2 0 1 929 962 931 1832
+9538 4 2 0 1 1737 2489 358 2679
+9539 4 2 0 1 1577 2130 1896 2748
+9540 4 2 0 1 1894 2251 927 2421
+9541 4 2 0 1 1734 2141 1949 2723
+9542 4 2 0 1 1359 1995 1326 2467
+9543 4 2 0 1 757 468 789 2144
+9544 4 2 0 1 1748 1654 2254 2591
+9545 4 2 0 1 1669 1962 1852 2078
+9546 4 2 0 1 1833 2401 1597 2688
+9547 4 2 0 1 705 2501 1765 2585
+9548 4 2 0 1 1585 1880 2242 2597
+9549 4 2 0 1 1652 2169 2141 2728
+9550 4 2 0 1 939 868 883 2287
+9551 4 2 0 1 2277 2456 198 2457
+9552 4 2 0 1 1545 2676 2376 2807
+9553 4 2 0 1 1040 1819 1060 2406
+9554 4 2 0 1 900 892 862 2477
+9555 4 2 0 1 1629 2436 1855 2501
+9556 4 2 0 1 1588 2343 1779 2430
+9557 4 2 0 1 315 220 2123 2156
+9558 4 2 0 1 633 2256 1868 2321
+9559 4 2 0 1 1561 1834 2011 2746
+9560 4 2 0 1 1619 1859 2153 2409
+9561 4 2 0 1 1144 1174 2064 2274
+9562 4 2 0 1 1889 2592 1781 2644
+9563 4 2 0 1 652 136 135 2410
+9564 4 2 0 1 1582 2403 1757 2426
+9565 4 2 0 1 1942 2028 1713 2432
+9566 4 2 0 1 1560 1807 1987 2550
+9567 4 2 0 1 1561 2112 1866 2654
+9568 4 2 0 1 462 2020 222 2438
+9569 4 2 0 1 1924 2358 1392 2441
+9570 4 2 0 1 1343 1834 2324 2737
+9571 4 2 0 1 1547 1901 2356 2434
+9572 4 2 0 1 1602 2038 2437 2698
+9573 4 2 0 1 671 685 640 1869
+9574 4 2 0 1 1741 2188 2158 2511
+9575 4 2 0 1 847 2425 1794 2497
+9576 4 2 0 1 1230 2091 1412 2721
+9577 4 2 0 1 1580 2529 2055 2784
+9578 4 2 0 1 1722 2293 2113 2568
+9579 4 2 0 1 2016 2429 1926 2765
+9580 4 2 0 1 1745 2282 1617 2410
+9581 4 2 0 1 2155 2327 1761 2803
+9582 4 2 0 1 1441 1974 2615 2835
+9583 4 2 0 1 2308 2538 2150 2688
+9584 4 2 0 1 1644 2391 1838 2823
+9585 4 2 0 1 1839 1535 2439 2487
+9586 4 2 0 1 507 268 438 2128
+9587 4 2 0 1 1850 1657 2002 2605
+9588 4 2 0 1 1307 1390 1498 2057
+9589 4 2 0 1 1165 1088 1135 1975
+9590 4 2 0 1 2068 2106 1629 2501
+9591 4 2 0 1 428 213 406 2472
+9592 4 2 0 1 1597 1750 2308 2688
+9593 4 2 0 1 1910 1603 2172 2764
+9594 4 2 0 1 940 2073 931 2129
+9595 4 2 0 1 442 404 2424 2556
+9596 4 2 0 1 1626 2205 2171 2513
+9597 4 2 0 1 1590 2528 2159 2807
+9598 4 2 0 1 423 2225 424 2554
+9599 4 2 0 1 1860 2425 816 2638
+9600 4 2 0 1 1896 2222 1695 2298
+9601 4 2 0 1 1760 1642 2174 2263
+9602 4 2 0 1 1335 1425 1230 2721
+9603 4 2 0 1 1261 2117 1278 2586
+9604 4 2 0 1 1683 1804 2011 2599
+9605 4 2 0 1 1821 2036 1574 2811
+9606 4 2 0 1 1123 1975 1055 2570
+9607 4 2 0 1 1727 2042 2463 2573
+9608 4 2 0 1 706 806 750 2631
+9609 4 2 0 1 1787 2273 2056 2414
+9610 4 2 0 1 1374 1227 1336 2013
+9611 4 2 0 1 1555 1858 2608 2787
+9612 4 2 0 1 431 416 1725 2661
+9613 4 2 0 1 1622 2329 2079 2375
+9614 4 2 0 1 1571 1991 1942 2347
+9615 4 2 0 1 1639 1954 2220 2782
+9616 4 2 0 1 1548 2224 1814 2480
+9617 4 2 0 1 1645 1853 2151 2509
+9618 4 2 0 1 1277 2303 1840 2586
+9619 4 2 0 1 587 546 2053 2367
+9620 4 2 0 1 1578 2443 2345 2802
+9621 4 2 0 1 1569 2176 1966 2517
+9622 4 2 0 1 1585 1801 2030 2597
+9623 4 2 0 1 573 1995 537 2294
+9624 4 2 0 1 339 1947 359 2683
+9625 4 2 0 1 343 1947 339 2268
+9626 4 2 0 1 1585 2239 1958 2447
+9627 4 2 0 1 1745 2282 2410 2777
+9628 4 2 0 1 2067 2417 1899 2580
+9629 4 2 0 1 1171 1108 1090 2518
+9630 4 2 0 1 1776 2375 767 2649
+9631 4 2 0 1 993 1907 876 2057
+9632 4 2 0 1 530 1868 1973 2766
+9633 4 2 0 1 1574 2308 2276 2454
+9634 4 2 0 1 2006 2244 2187 2548
+9635 4 2 0 1 1648 2649 1776 2717
+9636 4 2 0 1 1534 2221 1843 2673
+9637 4 2 0 1 1709 2004 1945 2312
+9638 4 2 0 1 1584 2103 1888 2166
+9639 4 2 0 1 1009 859 983 2695
+9640 4 2 0 1 2058 2357 1631 2362
+9641 4 2 0 1 644 1809 426 2658
+9642 4 2 0 1 1793 1724 2160 2461
+9643 4 2 0 1 1604 1921 2210 2526
+9644 4 2 0 1 1748 2591 2279 2636
+9645 4 2 0 1 692 691 803 2288
+9646 4 2 0 1 1603 1829 1947 2464
+9647 4 2 0 1 1642 1906 2008 2801
+9648 4 2 0 1 2118 2266 1880 2701
+9649 4 2 0 1 1946 2523 1729 2637
+9650 4 2 0 1 634 646 2169 2766
+9651 4 2 0 1 1692 2370 2000 2392
+9652 4 2 0 1 1162 2191 1150 2384
+9653 4 2 0 1 1726 1604 2235 2283
+9654 4 2 0 1 1384 1820 1416 2763
+9655 4 2 0 1 571 535 566 2197
+9656 4 2 0 1 1576 1951 1883 2552
+9657 4 2 0 1 1539 1883 2232 2710
+9658 4 2 0 1 1116 2350 133 2503
+9659 4 2 0 1 1805 2383 1302 2668
+9660 4 2 0 1 497 218 2359 2472
+9661 4 2 0 1 1909 1609 2442 2721
+9662 4 2 0 1 1921 2371 1821 2811
+9663 4 2 0 1 376 350 239 2539
+9664 4 2 0 1 1980 2237 1753 2633
+9665 4 2 0 1 418 349 1930 2559
+9666 4 2 0 1 1735 2434 2250 2500
+9667 4 2 0 1 1865 1679 2521 2712
+9668 4 2 0 1 1967 2286 1644 2380
+9669 4 2 0 1 1679 1774 2011 2521
+9670 4 2 0 1 532 559 632 1934
+9671 4 2 0 1 2071 2417 1736 2756
+9672 4 2 0 1 2396 2573 1866 2831
+9673 4 2 0 1 1546 2689 2061 2771
+9674 4 2 0 1 1921 2526 2371 2811
+9675 4 2 0 1 193 267 250 1952
+9676 4 2 0 1 697 729 785 2087
+9677 4 2 0 1 1624 1837 2301 2511
+9678 4 2 0 1 1850 2002 1590 2159
+9679 4 2 0 1 1958 2239 1650 2837
+9680 4 2 0 1 1772 2007 1570 2747
+9681 4 2 0 1 1539 2126 1883 2710
+9682 4 2 0 1 1656 1795 2578 2726
+9683 4 2 0 1 1623 2022 2289 2730
+9684 4 2 0 1 1882 1989 1605 2147
+9685 4 2 0 1 2148 2275 1240 2767
+9686 4 2 0 1 1644 2071 1838 2391
+9687 4 2 0 1 1934 2283 1604 2753
+9688 4 2 0 1 1431 1359 2132 2294
+9689 4 2 0 1 1477 1937 1280 2724
+9690 4 2 0 1 1380 2381 1409 2493
+9691 4 2 0 1 1137 1126 1087 2202
+9692 4 2 0 1 2317 2576 225 2679
+9693 4 2 0 1 1160 2384 2119 2769
+9694 4 2 0 1 1537 1807 2214 2739
+9695 4 2 0 1 2036 2284 1188 2324
+9696 4 2 0 1 2099 2171 1626 2596
+9697 4 2 0 1 416 2610 1725 2661
+9698 4 2 0 1 1837 2226 2094 2781
+9699 4 2 0 1 2047 2463 1663 2573
+9700 4 2 0 1 571 671 640 2390
+9701 4 2 0 1 939 911 868 2591
+9702 4 2 0 1 1884 2450 1680 2530
+9703 4 2 0 1 1630 2546 2139 2706
+9704 4 2 0 1 1582 2089 1957 2816
+9705 4 2 0 1 1241 2485 2379 2780
+9706 4 2 0 1 1471 1367 1307 2057
+9707 4 2 0 1 1704 1838 2230 2678
+9708 4 2 0 1 1627 2467 1821 2475
+9709 4 2 0 1 2189 2357 1910 2362
+9710 4 2 0 1 1640 2182 1951 2810
+9711 4 2 0 1 1463 1292 1994 2178
+9712 4 2 0 1 1555 1858 2347 2608
+9713 4 2 0 1 2065 2266 1759 2476
+9714 4 2 0 1 1647 1919 1898 2389
+9715 4 2 0 1 401 1927 478 2464
+9716 4 2 0 1 1884 2456 261 2658
+9717 4 2 0 1 1033 1863 1082 2565
+9718 4 2 0 1 510 650 592 2359
+9719 4 2 0 1 646 605 2009 2587
+9720 4 2 0 1 1832 1999 1599 2129
+9721 4 2 0 1 1278 2117 1206 2586
+9722 4 2 0 1 1521 1485 1484 2184
+9723 4 2 0 1 1888 2369 2103 2806
+9724 4 2 0 1 779 805 840 1826
+9725 4 2 0 1 406 2399 333 2472
+9726 4 2 0 1 1113 1819 1060 2709
+9727 4 2 0 1 488 1927 476 2424
+9728 4 2 0 1 202 1816 2635 2776
+9729 4 2 0 1 648 2350 132 2830
+9730 4 2 0 1 1636 2703 1844 2704
+9731 4 2 0 1 1627 2526 2024 2811
+9732 4 2 0 1 1577 2058 1795 2621
+9733 4 2 0 1 1663 2198 2342 2463
+9734 4 2 0 1 471 2445 1792 2539
+9735 4 2 0 1 1621 2034 1826 2307
+9736 4 2 0 1 342 238 334 2556
+9737 4 2 0 1 2384 2570 2119 2817
+9738 4 2 0 1 1693 2183 1830 2372
+9739 4 2 0 1 1533 2080 1980 2838
+9740 4 2 0 1 900 2477 862 2637
+9741 4 2 0 1 1559 2423 1738 2758
+9742 4 2 0 1 663 607 1972 2236
+9743 4 2 0 1 1565 1785 2351 2665
+9744 4 2 0 1 2114 2255 2119 2769
+9745 4 2 0 1 1547 2250 2434 2500
+9746 4 2 0 1 1749 2557 1275 2615
+9747 4 2 0 1 1627 2131 1995 2484
+9748 4 2 0 1 1769 1479 2379 2780
+9749 4 2 0 1 528 474 253 2606
+9750 4 2 0 1 559 1786 2283 2536
+9751 4 2 0 1 411 1847 445 2494
+9752 4 2 0 1 1951 2474 1705 2755
+9753 4 2 0 1 1631 2269 2748 2795
+9754 4 2 0 1 1464 1803 1465 2499
+9755 4 2 0 1 1160 1019 2119 2384
+9756 4 2 0 1 2123 2156 220 2683
+9757 4 2 0 1 1787 2056 2273 2586
+9758 4 2 0 1 532 632 647 1934
+9759 4 2 0 1 1559 1952 1800 2793
+9760 4 2 0 1 491 292 307 2353
+9761 4 2 0 1 1640 1883 1959 2810
+9762 4 2 0 1 1679 2284 2036 2324
+9763 4 2 0 1 1945 2227 1806 2418
+9764 4 2 0 1 1529 2216 1888 2774
+9765 4 2 0 1 409 311 295 2574
+9766 4 2 0 1 1597 2065 2401 2471
+9767 4 2 0 1 1557 2768 1819 2814
+9768 4 2 0 1 1631 2357 2189 2362
+9769 4 2 0 1 1810 2557 1933 2718
+9770 4 2 0 1 1539 2126 1853 2151
+9771 4 2 0 1 1033 2564 1863 2565
+9772 4 2 0 1 1666 2063 1773 2386
+9773 4 2 0 1 2371 2526 1627 2811
+9774 4 2 0 1 1851 1966 2423 2836
+9775 4 2 0 1 1318 1374 1336 2013
+9776 4 2 0 1 1689 2427 2010 2452
+9777 4 2 0 1 686 556 656 2390
+9778 4 2 0 1 539 619 601 2046
+9779 4 2 0 1 1582 2163 1811 2816
+9780 4 2 0 1 2287 2591 1872 2715
+9781 4 2 0 1 673 2180 681 2246
+9782 4 2 0 1 1789 2130 2621 2748
+9783 4 2 0 1 2014 2045 1581 2717
+9784 4 2 0 1 1290 1505 1263 2722
+9785 4 2 0 1 1285 1271 1281 2056
+9786 4 2 0 1 1692 2370 2392 2754
+9787 4 2 0 1 426 644 658 2610
+9788 4 2 0 1 1419 1385 1240 2148
+9789 4 2 0 1 1764 2361 1554 2392
+9790 4 2 0 1 485 2017 2217 2645
+9791 4 2 0 1 1076 1035 1913 2713
+9792 4 2 0 1 1721 1664 2070 2734
+9793 4 2 0 1 1782 2526 2210 2538
+9794 4 2 0 1 752 1991 815 2596
+9795 4 2 0 1 2016 2370 2033 2667
+9796 4 2 0 1 1950 2450 2154 2802
+9797 4 2 0 1 598 1973 683 2587
+9798 4 2 0 1 372 447 335 1879
+9799 4 2 0 1 1982 2397 2211 2446
+9800 4 2 0 1 1033 1082 1163 2565
+9801 4 2 0 1 1695 2519 2298 2568
+9802 4 2 0 1 2142 2386 1666 2440
+9803 4 2 0 1 1903 1969 1697 2593
+9804 4 2 0 1 1125 1143 1088 1763
+9805 4 2 0 1 1287 2178 1994 2785
+9806 4 2 0 1 1591 2219 2123 2832
+9807 4 2 0 1 1226 1935 1334 2420
+9808 4 2 0 1 1396 1385 1419 2721
+9809 4 2 0 1 1259 1194 1260 2177
+9810 4 2 0 1 1418 2008 1389 2322
+9811 4 2 0 1 176 352 357 2268
+9812 4 2 0 1 1812 1566 2096 2428
+9813 4 2 0 1 990 1002 925 1931
+9814 4 2 0 1 2309 2369 1835 2799
+9815 4 2 0 1 1929 2172 1603 2764
+9816 4 2 0 1 1268 1266 2178 2730
+9817 4 2 0 1 1574 2276 2036 2454
+9818 4 2 0 1 597 1868 2256 2672
+9819 4 2 0 1 663 1972 135 2410
+9820 4 2 0 1 2092 2336 1979 2448
+9821 4 2 0 1 516 284 264 2338
+9822 4 2 0 1 1886 2755 2627 2760
+9823 4 2 0 1 1590 1802 2528 2807
+9824 4 2 0 1 1823 2262 1686 2516
+9825 4 2 0 1 1955 1884 2456 2457
+9826 4 2 0 1 421 478 2049 2464
+9827 4 2 0 1 1314 1372 1213 1926
+9828 4 2 0 1 1704 2193 1838 2678
+9829 4 2 0 1 1999 2073 1593 2545
+9830 4 2 0 1 1717 2599 2245 2707
+9831 4 2 0 1 1853 1575 2660 2817
+9832 4 2 0 1 1152 1106 1056 1960
+9833 4 2 0 1 1922 1938 1556 2664
+9834 4 2 0 1 1637 2371 1995 2467
+9835 4 2 0 1 2008 2322 1885 2801
+9836 4 2 0 1 202 383 1816 2776
+9837 4 2 0 1 2402 2411 1744 2794
+9838 4 2 0 1 1980 2566 1966 2633
+9839 4 2 0 1 706 812 704 2099
+9840 4 2 0 1 1906 2608 1858 2787
+9841 4 2 0 1 1072 1050 2054 2626
+9842 4 2 0 1 1631 2058 1789 2357
+9843 4 2 0 1 858 1002 1001 2562
+9844 4 2 0 1 1557 1910 2357 2681
+9845 4 2 0 1 1503 1494 1244 2051
+9846 4 2 0 1 2000 2370 1612 2392
+9847 4 2 0 1 869 1894 942 2514
+9848 4 2 0 1 389 211 2097 2571
+9849 4 2 0 1 1498 1390 923 2057
+9850 4 2 0 1 1503 1183 1263 1810
+9851 4 2 0 1 401 442 478 1927
+9852 4 2 0 1 1406 1428 1456 2358
+9853 4 2 0 1 1566 1812 2096 2558
+9854 4 2 0 1 1539 2114 1876 2509
+9855 4 2 0 1 1774 2201 2199 2455
+9856 4 2 0 1 396 2657 2090 2662
+9857 4 2 0 1 1789 1631 2268 2269
+9858 4 2 0 1 1777 2296 1625 2813
+9859 4 2 0 1 1611 2271 1791 2504
+9860 4 2 0 1 1680 1934 2536 2786
+9861 4 2 0 1 1107 1129 1164 1864
+9862 4 2 0 1 1138 1930 1080 2713
+9863 4 2 0 1 1789 2556 1829 2613
+9864 4 2 0 1 1589 2018 2320 2788
+9865 4 2 0 1 703 743 1993 2316
+9866 4 2 0 1 1995 2371 1627 2467
+9867 4 2 0 1 1445 2326 1772 2751
+9868 4 2 0 1 1707 2146 1797 2625
+9869 4 2 0 1 1789 2058 1557 2357
+9870 4 2 0 1 141 563 140 1955
+9871 4 2 0 1 1174 1144 1021 2274
+9872 4 2 0 1 231 831 837 2068
+9873 4 2 0 1 1872 2241 911 2591
+9874 4 2 0 1 1874 1689 2427 2652
+9875 4 2 0 1 596 1973 530 2246
+9876 4 2 0 1 1223 1788 1310 2475
+9877 4 2 0 1 628 2345 1955 2687
+9878 4 2 0 1 1642 2012 2325 2711
+9879 4 2 0 1 2172 2221 1534 2700
+9880 4 2 0 1 1410 1396 2442 2721
+9881 4 2 0 1 2227 1728 2800 2839
+9882 4 2 0 1 1949 1968 1607 2250
+9883 4 2 0 1 1977 1993 1582 2567
+9884 4 2 0 1 1848 1577 2726 2805
+9885 4 2 0 1 1589 2558 1805 2708
+9886 4 2 0 1 2276 2308 1865 2454
+9887 4 2 0 1 1815 2595 1596 2745
+9888 4 2 0 1 1600 1843 2023 2832
+9889 4 2 0 1 1464 2462 1803 2775
+9890 4 2 0 1 1029 1102 1072 2054
+9891 4 2 0 1 1003 873 922 2542
+9892 4 2 0 1 1071 1099 1787 2414
+9893 4 2 0 1 2058 2362 1631 2748
+9894 4 2 0 1 997 1507 1501 157
+9895 4 2 0 1 511 2338 280 2692
+9896 4 2 0 1 792 156 723 2670
+9897 4 2 0 1 1714 2105 1911 2261
+9898 4 2 0 1 300 182 297 2030
+9899 4 2 0 1 602 620 538 1799
+9900 4 2 0 1 236 259 2124 2397
+9901 4 2 0 1 1724 2152 1889 2644
+9902 4 2 0 1 863 899 950 1781
+9903 4 2 0 1 294 519 2062 2624
+9904 4 2 0 1 205 2323 340 2614
+9905 4 2 0 1 532 559 1934 2536
+9906 4 2 0 1 457 461 407 1875
+9907 4 2 0 1 1256 1189 1483 2146
+9908 4 2 0 1 1775 1606 2170 2535
+9909 4 2 0 1 1720 2222 2029 2624
+9910 4 2 0 1 845 1488 148 2131
+9911 4 2 0 1 1788 2036 2276 2284
+9912 4 2 0 1 1543 2040 2075 2535
+9913 4 2 0 1 1788 2024 1923 2276
+9914 4 2 0 1 1883 1951 1616 2552
+9915 4 2 0 1 2124 2456 1884 2457
+9916 4 2 0 1 1880 1675 2242 2701
+9917 4 2 0 1 1555 2598 2659 2787
+9918 4 2 0 1 369 178 1895 2679
+9919 4 2 0 1 2027 2332 1816 2502
+9920 4 2 0 1 1843 1600 2023 2492
+9921 4 2 0 1 767 764 700 1776
+9922 4 2 0 1 1409 1824 1457 2751
+9923 4 2 0 1 1580 1839 2203 2784
+9924 4 2 0 1 2064 2274 1688 2458
+9925 4 2 0 1 1598 2252 2032 2678
+9926 4 2 0 1 1664 2172 2035 2537
+9927 4 2 0 1 708 806 704 2099
+9928 4 2 0 1 1804 2011 1774 2520
+9929 4 2 0 1 1129 1864 1107 2170
+9930 4 2 0 1 1875 2097 407 2468
+9931 4 2 0 1 494 2355 1915 2395
+9932 4 2 0 1 1874 1704 2427 2452
+9933 4 2 0 1 1566 2105 1812 2558
+9934 4 2 0 1 258 2333 1767 2574
+9935 4 2 0 1 349 1979 1930 2559
+9936 4 2 0 1 1528 1966 2111 2466
+9937 4 2 0 1 1650 2239 1958 2506
+9938 4 2 0 1 1295 1181 2056 2785
+9939 4 2 0 1 1926 2302 1589 2788
+9940 4 2 0 1 1614 1721 2416 2537
+9941 4 2 0 1 1740 2028 1942 2432
+9942 4 2 0 1 1976 2091 1248 2442
+9943 4 2 0 1 1272 1259 1260 2177
+9944 4 2 0 1 1637 2281 1912 2371
+9945 4 2 0 1 639 2069 2469 2812
+9946 4 2 0 1 1506 995 166 2278
+9947 4 2 0 1 2273 1787 2586 2716
+9948 4 2 0 1 1665 1996 1792 2539
+9949 4 2 0 1 1654 2254 2096 2636
+9950 4 2 0 1 457 1875 407 2468
+9951 4 2 0 1 294 2062 316 2624
+9952 4 2 0 1 173 2317 2101 2576
+9953 4 2 0 1 2227 2479 1728 2839
+9954 4 2 0 1 1529 2187 2006 2244
+9955 4 2 0 1 1341 1192 1362 2337
+9956 4 2 0 1 869 927 942 1894
+9957 4 2 0 1 966 1894 977 2695
+9958 4 2 0 1 1577 2004 1896 2029
+9959 4 2 0 1 1545 1802 2031 2376
+9960 4 2 0 1 473 504 170 2225
+9961 4 2 0 1 1691 2388 1987 2470
+9962 4 2 0 1 938 2101 869 2514
+9963 4 2 0 1 1612 2392 2033 2834
+9964 4 2 0 1 1838 2059 1644 2823
+9965 4 2 0 1 815 2596 1991 2684
+9966 4 2 0 1 351 372 2185 2333
+9967 4 2 0 1 1730 2342 2198 2463
+9968 4 2 0 1 1176 1870 1030 2603
+9969 4 2 0 1 1781 1628 2081 2592
+9970 4 2 0 1 1221 1376 2531 2720
+9971 4 2 0 1 1811 2163 2149 2611
+9972 4 2 0 1 2001 2102 1678 2302
+9973 4 2 0 1 1226 2001 1935 2825
+9974 4 2 0 1 830 141 140 2277
+9975 4 2 0 1 300 2030 297 2776
+9976 4 2 0 1 1604 2210 1782 2526
+9977 4 2 0 1 1796 2506 1650 2837
+9978 4 2 0 1 1633 2275 2148 2318
+9979 4 2 0 1 1531 1940 2604 2735
+9980 4 2 0 1 1650 2443 1985 2682
+9981 4 2 0 1 466 520 180 2826
+9982 4 2 0 1 607 2236 556 2390
+9983 4 2 0 1 1800 2209 466 2685
+9984 4 2 0 1 1690 2144 1765 2267
+9985 4 2 0 1 1288 1976 1283 2435
+9986 4 2 0 1 1648 2161 2100 2360
+9987 4 2 0 1 1619 2409 1902 2669
+9988 4 2 0 1 1590 2593 2364 2807
+9989 4 2 0 1 1579 2226 2094 2760
+9990 4 2 0 1 1297 1922 2044 2512
+9991 4 2 0 1 878 2241 2279 2591
+9992 4 2 0 1 1683 2527 1856 2602
+9993 4 2 0 1 1083 1039 1077 2056
+9994 4 2 0 1 530 2180 673 2246
+9995 4 2 0 1 1346 2201 2337 2737
+9996 4 2 0 1 1550 2113 2293 2568
+9997 4 2 0 1 290 293 368 2448
+9998 4 2 0 1 1547 1836 2282 2790
+9999 4 2 0 1 1071 2056 1103 2414
+10000 4 2 0 1 1792 1649 2066 2674
+10001 4 2 0 1 1831 2046 1592 2256
+10002 4 2 0 1 1353 1219 1885 2512
+10003 4 2 0 1 765 763 808 1822
+10004 4 2 0 1 1671 1818 2651 2798
+10005 4 2 0 1 2206 2215 1618 2782
+10006 4 2 0 1 1708 2289 2022 2730
+10007 4 2 0 1 1691 2072 1943 2470
+10008 4 2 0 1 1723 2128 2478 2818
+10009 4 2 0 1 392 293 2262 2516
+10010 4 2 0 1 360 369 178 1895
+10011 4 2 0 1 1577 2624 2130 2805
+10012 4 2 0 1 1629 1765 2068 2501
+10013 4 2 0 1 1819 2768 2543 2814
+10014 4 2 0 1 1580 2051 1810 2718
+10015 4 2 0 1 186 1761 2327 2803
+10016 4 2 0 1 1589 2320 1926 2788
+10017 4 2 0 1 221 378 1947 2464
+10018 4 2 0 1 2104 1639 2215 2782
+10019 4 2 0 1 2110 2431 1851 2633
+10020 4 2 0 1 1545 2052 1833 2401
+10021 4 2 0 1 1378 1236 1438 2289
+10022 4 2 0 1 1661 2178 1708 2232
+10023 4 2 0 1 1998 2266 1608 2476
+10024 4 2 0 1 1840 2117 1261 2586
+10025 4 2 0 1 625 1815 569 2350
+10026 4 2 0 1 1943 2240 1601 2479
+10027 4 2 0 1 471 248 2539 2674
+10028 4 2 0 1 1995 2467 1627 2484
+10029 4 2 0 1 874 2462 1803 2553
+10030 4 2 0 1 1914 2229 1497 2640
+10031 4 2 0 1 1745 1646 2179 2522
+10032 4 2 0 1 1607 2197 2009 2250
+10033 4 2 0 1 1809 2196 1655 2433
+10034 4 2 0 1 1719 2289 1623 2629
+10035 4 2 0 1 1560 2245 2199 2707
+10036 4 2 0 1 1864 2541 1746 2768
+10037 4 2 0 1 445 1847 411 2366
+10038 4 2 0 1 1527 2311 2116 2527
+10039 4 2 0 1 314 182 300 2211
+10040 4 2 0 1 1038 1078 1102 2564
+10041 4 2 0 1 1883 1959 1710 2828
+10042 4 2 0 1 1916 2093 1782 2693
+10043 4 2 0 1 1541 2011 2520 2521
+10044 4 2 0 1 1869 1972 1652 2282
+10045 4 2 0 1 1278 2117 2178 2785
+10046 4 2 0 1 1833 2088 1659 2653
+10047 4 2 0 1 828 153 2115 2186
+10048 4 2 0 1 2195 2303 1840 2442
+10049 4 2 0 1 1552 1989 2103 2482
+10050 4 2 0 1 690 801 814 2028
+10051 4 2 0 1 1696 2177 1764 2361
+10052 4 2 0 1 574 623 1884 2530
+10053 4 2 0 1 1719 1623 2289 2551
+10054 4 2 0 1 1599 1999 2048 2160
+10055 4 2 0 1 618 664 2212 2687
+10056 4 2 0 1 984 2365 1889 2589
+10057 4 2 0 1 1613 2110 2037 2487
+10058 4 2 0 1 863 906 894 2184
+10059 4 2 0 1 2403 2426 1849 2628
+10060 4 2 0 1 1229 1337 2033 2667
+10061 4 2 0 1 1084 1171 1086 2594
+10062 4 2 0 1 1950 2433 2154 2450
+10063 4 2 0 1 1346 2337 1834 2737
+10064 4 2 0 1 1542 2100 2093 2360
+10065 4 2 0 1 1597 2150 1833 2688
+10066 4 2 0 1 1180 2021 2229 2563
+10067 4 2 0 1 984 884 888 2589
+10068 4 2 0 1 1944 2462 1803 2720
+10069 4 2 0 1 1323 2467 1995 2484
+10070 4 2 0 1 2198 2215 1536 2272
+10071 4 2 0 1 1663 2342 2026 2507
+10072 4 2 0 1 1780 2322 1974 2783
+10073 4 2 0 1 810 1957 766 2307
+10074 4 2 0 1 1171 2594 1084 2603
+10075 4 2 0 1 1799 2367 1973 2587
+10076 4 2 0 1 1601 1806 2418 2673
+10077 4 2 0 1 1571 2204 1890 2634
+10078 4 2 0 1 1547 1869 2250 2282
+10079 4 2 0 1 1800 2490 2409 2826
+10080 4 2 0 1 1245 2455 1178 2737
+10081 4 2 0 1 2163 2702 1811 2816
+10082 4 2 0 1 1984 2197 622 2408
+10083 4 2 0 1 1543 1848 2412 2792
+10084 4 2 0 1 1486 2278 1519 2696
+10085 4 2 0 1 1827 2172 1534 2700
+10086 4 2 0 1 1789 2269 2130 2748
+10087 4 2 0 1 1643 2426 2109 2628
+10088 4 2 0 1 1703 2000 2466 2616
+10089 4 2 0 1 639 657 1828 2812
+10090 4 2 0 1 1061 1053 1025 2339
+10091 4 2 0 1 1215 1323 2475 2484
+10092 4 2 0 1 1542 2093 2100 2693
+10093 4 2 0 1 544 548 593 2069
+10094 4 2 0 1 1221 2531 1731 2720
+10095 4 2 0 1 1612 2033 2370 2667
+10096 4 2 0 1 1561 2011 2396 2599
+10097 4 2 0 1 2103 2296 1684 2675
+10098 4 2 0 1 1621 2204 1890 2451
+10099 4 2 0 1 216 1823 2395 2554
+10100 4 2 0 1 1957 2316 1582 2816
+10101 4 2 0 1 2141 2175 1652 2728
+10102 4 2 0 1 142 141 826 1955
+10103 4 2 0 1 255 395 2297 2438
+10104 4 2 0 1 142 1955 826 2732
+10105 4 2 0 1 2158 2188 1624 2511
+10106 4 2 0 1 600 2393 615 2663
+10107 4 2 0 1 274 250 483 2086
+10108 4 2 0 1 1990 2606 253 2694
+10109 4 2 0 1 1990 1677 2344 2745
+10110 4 2 0 1 1851 2466 1703 2487
+10111 4 2 0 1 1099 1049 1071 1787
+10112 4 2 0 1 1548 2096 2254 2636
+10113 4 2 0 1 1941 2121 1744 2465
+10114 4 2 0 1 1472 1497 1914 2229
+10115 4 2 0 1 428 184 437 2297
+10116 4 2 0 1 1773 2063 1666 2249
+10117 4 2 0 1 1744 2510 2121 2794
+10118 4 2 0 1 1091 1746 1017 2543
+10119 4 2 0 1 1549 2544 2414 2716
+10120 4 2 0 1 1682 2168 1900 2364
+10121 4 2 0 1 1557 2058 1795 2681
+10122 4 2 0 1 1837 2094 1705 2620
+10123 4 2 0 1 1358 1331 2076 2301
+10124 4 2 0 1 1649 2066 1816 2332
+10125 4 2 0 1 1747 2145 2027 2447
+10126 4 2 0 1 1578 2124 1905 2727
+10127 4 2 0 1 1556 2016 1922 2664
+10128 4 2 0 1 463 171 436 1977
+10129 4 2 0 1 1727 1866 2396 2573
+10130 4 2 0 1 1654 1944 1805 2383
+10131 4 2 0 1 1582 2149 1877 2426
+10132 4 2 0 1 1731 2261 2105 2534
+10133 4 2 0 1 418 391 181 2713
+10134 4 2 0 1 1833 2430 2150 2682
+10135 4 2 0 1 1546 2061 1919 2650
+10136 4 2 0 1 1548 2096 2224 2708
+10137 4 2 0 1 1880 2354 1747 2447
+10138 4 2 0 1 1653 1799 2272 2587
+10139 4 2 0 1 1871 2164 1779 2808
+10140 4 2 0 1 1858 2008 1906 2801
+10141 4 2 0 1 531 655 681 2192
+10142 4 2 0 1 1272 1260 1204 2177
+10143 4 2 0 1 773 743 720 1993
+10144 4 2 0 1 1728 2226 1886 2627
+10145 4 2 0 1 1790 2444 2155 2542
+10146 4 2 0 1 1530 2354 1880 2447
+10147 4 2 0 1 1116 132 133 2350
+10148 4 2 0 1 1625 2214 1807 2413
+10149 4 2 0 1 221 378 359 2683
+10150 4 2 0 1 1622 2087 1924 2358
+10151 4 2 0 1 1727 2396 1866 2654
+10152 4 2 0 1 1596 1990 1967 2606
+10153 4 2 0 1 869 2251 1894 2514
+10154 4 2 0 1 259 254 2124 2457
+10155 4 2 0 1 1926 2320 2018 2788
+10156 4 2 0 1 1432 1906 1448 2780
+10157 4 2 0 1 1617 2238 2060 2368
+10158 4 2 0 1 1637 1758 2132 2393
+10159 4 2 0 1 1689 2112 1866 2427
+10160 4 2 0 1 1735 2419 2264 2435
+10161 4 2 0 1 420 1965 1861 2438
+10162 4 2 0 1 564 2350 648 2830
+10163 4 2 0 1 1040 1060 1109 2406
+10164 4 2 0 1 1151 161 1057 2416
+10165 4 2 0 1 350 183 2153 2639
+10166 4 2 0 1 1014 935 2461 2589
+10167 4 2 0 1 1930 2535 1658 2565
+10168 4 2 0 1 1764 2361 2051 2822
+10169 4 2 0 1 734 196 844 527
+10170 4 2 0 1 253 279 1990 2694
+10171 4 2 0 1 1711 1853 2075 2817
+10172 4 2 0 1 1643 1849 2338 2685
+10173 4 2 0 1 1477 1460 1476 1937
+10174 4 2 0 1 1979 2092 1658 2336
+10175 4 2 0 1 1242 2094 1489 2387
+10176 4 2 0 1 1488 845 737 2087
+10177 4 2 0 1 1789 1557 2228 2613
+10178 4 2 0 1 1638 2044 1922 2512
+10179 4 2 0 1 1757 2186 1826 2363
+10180 4 2 0 1 952 2287 901 2715
+10181 4 2 0 1 901 898 957 2070
+10182 4 2 0 1 1494 2135 2051 2722
+10183 4 2 0 1 1531 2003 1940 2368
+10184 4 2 0 1 1749 1974 2351 2615
+10185 4 2 0 1 1689 1783 2348 2652
+10186 4 2 0 1 1837 2511 1741 2781
+10187 4 2 0 1 1197 2442 1909 2551
+10188 4 2 0 1 1627 2235 2024 2526
+10189 4 2 0 1 1555 2608 1936 2736
+10190 4 2 0 1 949 2073 880 2637
+10191 4 2 0 1 1715 1960 2003 2478
+10192 4 2 0 1 1643 1849 2426 2628
+10193 4 2 0 1 2078 2102 1712 2765
+10194 4 2 0 1 1549 2039 2544 2600
+10195 4 2 0 1 927 1894 869 2251
+10196 4 2 0 1 1004 962 1832 2588
+10197 4 2 0 1 1614 2172 1827 2537
+10198 4 2 0 1 1338 1420 1195 2018
+10199 4 2 0 1 684 2359 1725 2569
+10200 4 2 0 1 511 1849 505 2567
+10201 4 2 0 1 1955 2457 1674 2705
+10202 4 2 0 1 1972 2282 1869 2777
+10203 4 2 0 1 1624 1797 2301 2625
+10204 4 2 0 1 1843 2389 2023 2832
+10205 4 2 0 1 586 608 2330 2761
+10206 4 2 0 1 597 2256 662 2672
+10207 4 2 0 1 1822 2555 1881 2643
+10208 4 2 0 1 532 1934 635 2536
+10209 4 2 0 1 1616 2022 2291 2648
+10210 4 2 0 1 1604 2210 1921 2459
+10211 4 2 0 1 1346 2201 1247 2337
+10212 4 2 0 1 277 464 821 1993
+10213 4 2 0 1 367 389 211 2097
+10214 4 2 0 1 410 177 499 1965
+10215 4 2 0 1 1603 1927 1829 2464
+10216 4 2 0 1 563 628 574 2456
+10217 4 2 0 1 1590 1969 2593 2807
+10218 4 2 0 1 1516 1453 1220 2301
+10219 4 2 0 1 442 238 404 2556
+10220 4 2 0 1 428 437 1897 2297
+10221 4 2 0 1 849 781 764 1936
+10222 4 2 0 1 1637 2194 1758 2749
+10223 4 2 0 1 213 320 406 2020
+10224 4 2 0 1 443 2185 188 2333
+10225 4 2 0 1 1543 2726 2040 2757
+10226 4 2 0 1 1580 2615 2051 2718
+10227 4 2 0 1 2116 2311 1739 2527
+10228 4 2 0 1 1061 1117 1053 2522
+10229 4 2 0 1 256 2185 335 2200
+10230 4 2 0 1 179 407 1875 2097
+10231 4 2 0 1 1503 1183 1810 2557
+10232 4 2 0 1 563 140 1955 2456
+10233 4 2 0 1 771 745 2436 2714
+10234 4 2 0 1 263 715 740 2217
+10235 4 2 0 1 1816 2525 2030 2776
+10236 4 2 0 1 502 244 362 2049
+10237 4 2 0 1 1830 2308 1782 2693
+10238 4 2 0 1 1942 1740 2347 2677
+10239 4 2 0 1 2203 2363 1826 2784
+10240 4 2 0 1 1486 2640 1707 2696
+10241 4 2 0 1 1172 1154 1930 2565
+10242 4 2 0 1 1564 2118 1880 2701
+10243 4 2 0 1 1723 2478 2128 2503
+10244 4 2 0 1 1890 1991 1685 2684
+10245 4 2 0 1 535 1984 579 2419
+10246 4 2 0 1 772 700 2041 2375
+10247 4 2 0 1 612 617 625 2344
+10248 4 2 0 1 340 2323 1850 2614
+10249 4 2 0 1 1469 1300 1453 2301
+10250 4 2 0 1 2258 2150 2538 2688
+10251 4 2 0 1 1912 2235 1604 2283
+10252 4 2 0 1 601 1841 603 2761
+10253 4 2 0 1 924 2125 1907 2553
+10254 4 2 0 1 383 2525 1816 2776
+10255 4 2 0 1 1669 1844 2257 2290
+10256 4 2 0 1 1620 2201 1834 2337
+10257 4 2 0 1 1543 2578 2040 2726
+10258 4 2 0 1 1843 2221 1534 2292
+10259 4 2 0 1 1706 2036 1821 2655
+10260 4 2 0 1 1811 2149 1867 2611
+10261 4 2 0 1 1854 2234 1642 2515
+10262 4 2 0 1 1597 1856 2065 2306
+10263 4 2 0 1 198 140 668 2456
+10264 4 2 0 1 1747 2145 2074 2332
+10265 4 2 0 1 1689 2654 2220 2743
+10266 4 2 0 1 1593 2612 2107 2689
+10267 4 2 0 1 1651 2493 1824 2704
+10268 4 2 0 1 2100 2161 1662 2360
+10269 4 2 0 1 1216 1954 1347 2655
+10270 4 2 0 1 1364 1184 1437 2342
+10271 4 2 0 1 947 929 867 2280
+10272 4 2 0 1 175 2404 2066 2674
+10273 4 2 0 1 953 2523 892 2637
+10274 4 2 0 1 589 2393 2132 2469
+10275 4 2 0 1 1602 2437 2164 2698
+10276 4 2 0 1 1212 2420 2133 2668
+10277 4 2 0 1 1247 1399 1362 2337
+10278 4 2 0 1 1696 2361 2055 2784
+10279 4 2 0 1 133 2350 1960 2503
+10280 4 2 0 1 1468 1518 1460 1984
+10281 4 2 0 1 568 618 613 2345
+10282 4 2 0 1 1805 1302 2531 2668
+10283 4 2 0 1 1869 1652 2250 2282
+10284 4 2 0 1 1207 1476 643 1937
+10285 4 2 0 1 1532 2154 1891 2546
+10286 4 2 0 1 1125 1088 1103 2414
+10287 4 2 0 1 1586 2309 2300 2369
+10288 4 2 0 1 333 381 218 2207
+10289 4 2 0 1 1872 1624 2287 2715
+10290 4 2 0 1 1277 1976 1248 2442
+10291 4 2 0 1 932 927 2251 2421
+10292 4 2 0 1 1475 1320 1367 1944
+10293 4 2 0 1 899 863 894 1781
+10294 4 2 0 1 1753 1920 2334 2829
+10295 4 2 0 1 1614 1827 2182 2537
+10296 4 2 0 1 550 638 545 2260
+10297 4 2 0 1 915 874 919 2462
+10298 4 2 0 1 932 2251 1873 2421
+10299 4 2 0 1 1936 2608 1769 2736
+10300 4 2 0 1 1609 2091 1976 2442
+10301 4 2 0 1 1608 1986 1998 2476
+10302 4 2 0 1 1517 2342 2026 2724
+10303 4 2 0 1 864 2494 891 2495
+10304 4 2 0 1 1558 1822 2145 2502
+10305 4 2 0 1 914 1961 970 2107
+10306 4 2 0 1 1705 2094 2226 2760
+10307 4 2 0 1 1561 1818 2112 2572
+10308 4 2 0 1 1438 2289 1236 2551
+10309 4 2 0 1 905 982 998 2477
+10310 4 2 0 1 1980 2590 2237 2633
+10311 4 2 0 1 1080 1930 1154 2713
+10312 4 2 0 1 1878 1598 2252 2440
+10313 4 2 0 1 2104 2206 1639 2782
+10314 4 2 0 1 1377 1297 1214 2512
+10315 4 2 0 1 1930 2349 1172 2565
+10316 4 2 0 1 695 2375 1860 2649
+10317 4 2 0 1 1817 2125 2553 2778
+10318 4 2 0 1 1592 2256 2046 2321
+10319 4 2 0 1 313 292 201 2298
+10320 4 2 0 1 1590 1835 2364 2593
+10321 4 2 0 1 1816 1718 2502 2635
+10322 4 2 0 1 1581 2145 2717 2772
+10323 4 2 0 1 976 151 1946 2523
+10324 4 2 0 1 907 863 886 2081
+10325 4 2 0 1 1541 2310 1865 2521
+10326 4 2 0 1 1614 2035 1929 2172
+10327 4 2 0 1 2050 2572 2454 2746
+10328 4 2 0 1 1463 1478 1181 1994
+10329 4 2 0 1 1147 1119 1077 2056
+10330 4 2 0 1 298 2211 322 2397
+10331 4 2 0 1 2039 2505 1660 2600
+10332 4 2 0 1 1169 1160 2119 2769
+10333 4 2 0 1 297 2030 219 2525
+10334 4 2 0 1 634 603 601 2321
+10335 4 2 0 1 1816 2066 1649 2525
+10336 4 2 0 1 633 641 2256 2321
+10337 4 2 0 1 1222 2247 1798 2763
+10338 4 2 0 1 1000 1790 922 2695
+10339 4 2 0 1 339 2156 1947 2683
+10340 4 2 0 1 1768 2293 2517 2607
+10341 4 2 0 1 1588 1779 2088 2430
+10342 4 2 0 1 747 837 751 2068
+10343 4 2 0 1 653 2212 1726 2283
+10344 4 2 0 1 1645 1887 2386 2600
+10345 4 2 0 1 1612 2033 1808 2834
+10346 4 2 0 1 1786 1604 2283 2753
+10347 4 2 0 1 1932 1657 2449 2838
+10348 4 2 0 1 1141 1148 2410 2777
+10349 4 2 0 1 962 2248 1832 2588
+10350 4 2 0 1 1572 2012 1857 2515
+10351 4 2 0 1 1619 2149 1877 2153
+10352 4 2 0 1 1579 2094 1798 2760
+10353 4 2 0 1 1557 1789 2357 2613
+10354 4 2 0 1 315 220 354 2123
+10355 4 2 0 1 1551 2341 1765 2702
+10356 4 2 0 1 1633 1992 1893 2245
+10357 4 2 0 1 1431 2132 561 2294
+10358 4 2 0 1 1202 1139 1478 1994
+10359 4 2 0 1 1072 1132 1050 2626
+10360 4 2 0 1 1591 1895 2123 2489
+10361 4 2 0 1 535 579 578 2419
+10362 4 2 0 1 1184 1437 2342 2724
+10363 4 2 0 1 1529 2244 2006 2656
+10364 4 2 0 1 1636 2072 1935 2247
+10365 4 2 0 1 1437 1184 1280 2724
+10366 4 2 0 1 570 660 682 2497
+10367 4 2 0 1 177 379 1965 2791
+10368 4 2 0 1 418 181 349 2559
+10369 4 2 0 1 232 440 2196 2328
+10370 4 2 0 1 1831 2256 1700 2569
+10371 4 2 0 1 2037 2370 1692 2783
+10372 4 2 0 1 1348 1339 1298 2383
+10373 4 2 0 1 1648 1860 2161 2360
+10374 4 2 0 1 2297 2330 184 2694
+10375 4 2 0 1 1297 1922 1349 2044
+10376 4 2 0 1 2125 2428 1667 2562
+10377 4 2 0 1 1671 2112 1818 2798
+10378 4 2 0 1 1807 2082 1570 2318
+10379 4 2 0 1 1596 2350 2128 2503
+10380 4 2 0 1 219 2525 2030 2744
+10381 4 2 0 1 1591 2123 1939 2489
+10382 4 2 0 1 2149 2352 1619 2431
+10383 4 2 0 1 1719 2148 2275 2318
+10384 4 2 0 1 1277 1261 1500 1840
+10385 4 2 0 1 1605 1989 1882 2575
+10386 4 2 0 1 1756 2025 1964 2792
+10387 4 2 0 1 2087 2485 1622 2666
+10388 4 2 0 1 1680 2450 1884 2802
+10389 4 2 0 1 161 1929 1057 2416
+10390 4 2 0 1 1082 1126 1137 2570
+10391 4 2 0 1 1747 2547 1917 2762
+10392 4 2 0 1 2271 2334 1791 2504
+10393 4 2 0 1 2156 2268 1631 2269
+10394 4 2 0 1 1764 1696 2361 2822
+10395 4 2 0 1 1123 1137 1087 2570
+10396 4 2 0 1 264 2338 284 2685
+10397 4 2 0 1 751 707 747 2068
+10398 4 2 0 1 1750 2538 2308 2688
+10399 4 2 0 1 1696 1764 2177 2822
+10400 4 2 0 1 1333 1857 1303 2284
+10401 4 2 0 1 652 135 1972 2410
+10402 4 2 0 1 1601 1806 2227 2418
+10403 4 2 0 1 215 1847 445 2366
+10404 4 2 0 1 1617 2238 1836 2282
+10405 4 2 0 1 673 681 661 2246
+10406 4 2 0 1 1828 2053 665 2725
+10407 4 2 0 1 1565 1998 1986 2234
+10408 4 2 0 1 1682 2311 2038 2482
+10409 4 2 0 1 994 1012 2155 2327
+10410 4 2 0 1 1779 2164 2088 2809
+10411 4 2 0 1 1805 2254 1654 2383
+10412 4 2 0 1 297 182 306 2030
+10413 4 2 0 1 1719 2551 1909 2629
+10414 4 2 0 1 1910 2218 1673 2681
+10415 4 2 0 1 423 512 424 2225
+10416 4 2 0 1 216 424 1823 2554
+10417 4 2 0 1 1830 2506 2308 2693
+10418 4 2 0 1 269 501 736 2217
+10419 4 2 0 1 1620 2337 1834 2396
+10420 4 2 0 1 2058 2228 1795 2621
+10421 4 2 0 1 375 2468 427 2571
+10422 4 2 0 1 1796 2372 1693 2577
+10423 4 2 0 1 1617 1836 2175 2282
+10424 4 2 0 1 349 252 1930 2349
+10425 4 2 0 1 1256 2146 1516 2278
+10426 4 2 0 1 1776 2045 2014 2717
+10427 4 2 0 1 1863 2570 2384 2817
+10428 4 2 0 1 1769 2631 1467 2780
+10429 4 2 0 1 1884 2450 2345 2802
+10430 4 2 0 1 968 1013 980 2165
+10431 4 2 0 1 2293 2353 1722 2607
+10432 4 2 0 1 1839 2363 2203 2784
+10433 4 2 0 1 1150 1085 1031 2170
+10434 4 2 0 1 400 1809 460 2661
+10435 4 2 0 1 2100 2377 1650 2443
+10436 4 2 0 1 1022 1065 1069 2424
+10437 4 2 0 1 2071 2438 1644 2756
+10438 4 2 0 1 1197 1840 2442 2551
+10439 4 2 0 1 1621 2203 2089 2363
+10440 4 2 0 1 1716 2490 1800 2826
+10441 4 2 0 1 1211 907 886 2081
+10442 4 2 0 1 1851 2466 1966 2836
+10443 4 2 0 1 1642 1906 2263 2711
+10444 4 2 0 1 550 2260 545 2400
+10445 4 2 0 1 639 1828 657 2725
+10446 4 2 0 1 1589 2302 2133 2788
+10447 4 2 0 1 1554 1808 2392 2834
+10448 4 2 0 1 1949 2198 1536 2272
+10449 4 2 0 1 376 350 2539 2639
+10450 4 2 0 1 1559 1793 2331 2731
+10451 4 2 0 1 1788 2475 1627 2811
+10452 4 2 0 1 319 212 1939 2353
+10453 4 2 0 1 1414 1437 1280 2053
+10454 4 2 0 1 1410 2442 2091 2721
+10455 4 2 0 1 574 554 623 2530
+10456 4 2 0 1 1261 1278 1206 2586
+10457 4 2 0 1 230 444 262 1877
+10458 4 2 0 1 962 2248 964 2365
+10459 4 2 0 1 1821 2415 1706 2655
+10460 4 2 0 1 573 565 537 1995
+10461 4 2 0 1 1650 2506 2372 2693
+10462 4 2 0 1 1660 2060 2491 2733
+10463 4 2 0 1 869 2101 2251 2514
+10464 4 2 0 1 2000 2466 1613 2487
+10465 4 2 0 1 1445 1391 1356 2247
+10466 4 2 0 1 1700 2256 1868 2672
+10467 4 2 0 1 1656 1853 2083 2578
+10468 4 2 0 1 1396 1419 1909 2721
+10469 4 2 0 1 976 892 953 2523
+10470 4 2 0 1 1668 2399 2020 2472
+10471 4 2 0 1 1738 1919 2061 2650
+10472 4 2 0 1 1734 2313 2141 2723
+10473 4 2 0 1 1542 1923 2079 2305
+10474 4 2 0 1 1750 2258 2538 2688
+10475 4 2 0 1 1686 2448 2092 2516
+10476 4 2 0 1 415 462 1861 2185
+10477 4 2 0 1 1705 1951 2627 2833
+10478 4 2 0 1 1358 1300 1331 2301
+10479 4 2 0 1 1773 2214 2019 2675
+10480 4 2 0 1 1469 1453 2146 2301
+10481 4 2 0 1 1676 1859 2005 2699
+10482 4 2 0 1 1656 1925 2083 2216
+10483 4 2 0 1 2013 2324 1834 2746
+10484 4 2 0 1 697 2087 785 2666
+10485 4 2 0 1 463 171 1977 2567
+10486 4 2 0 1 1234 1373 1392 2358
+10487 4 2 0 1 1242 1352 2094 2387
+10488 4 2 0 1 1695 2002 1997 2741
+10489 4 2 0 1 1627 2371 2235 2526
+10490 4 2 0 1 1672 2102 2001 2302
+10491 4 2 0 1 1538 2460 2102 2794
+10492 4 2 0 1 1049 2339 1787 2804
+10493 4 2 0 1 1241 1908 2485 2780
+10494 4 2 0 1 749 821 1993 2498
+10495 4 2 0 1 1644 2020 1897 2756
+10496 4 2 0 1 1873 2382 2421 2738
+10497 4 2 0 1 362 1847 2049 2494
+10498 4 2 0 1 777 2316 850 2498
+10499 4 2 0 1 1684 2103 1989 2482
+10500 4 2 0 1 1773 2249 1666 2440
+10501 4 2 0 1 1241 1470 1479 2379
+10502 4 2 0 1 1628 2152 2261 2534
+10503 4 2 0 1 913 2081 937 2233
+10504 4 2 0 1 764 781 700 1936
+10505 4 2 0 1 1350 1467 2379 2631
+10506 4 2 0 1 1803 2462 1907 2553
+10507 4 2 0 1 551 2393 2069 2663
+10508 4 2 0 1 665 651 591 2053
+10509 4 2 0 1 2050 2220 1706 2415
+10510 4 2 0 1 2051 2361 1696 2822
+10511 4 2 0 1 427 2468 2097 2571
+10512 4 2 0 1 1942 2347 1991 2677
+10513 4 2 0 1 557 608 621 2330
+10514 4 2 0 1 461 179 407 1875
+10515 4 2 0 1 313 292 2298 2353
+10516 4 2 0 1 1565 1986 1892 2783
+10517 4 2 0 1 1222 2007 2247 2763
+10518 4 2 0 1 708 817 796 2596
+10519 4 2 0 1 1847 2101 1600 2495
+10520 4 2 0 1 1575 1975 1846 2570
+10521 4 2 0 1 1955 2456 2277 2457
+10522 4 2 0 1 391 2559 181 2713
+10523 4 2 0 1 1825 2192 1766 2663
+10524 4 2 0 1 1033 1126 1082 1863
+10525 4 2 0 1 1893 1992 1620 2245
+10526 4 2 0 1 1707 2346 2140 2696
+10527 4 2 0 1 585 1937 558 2408
+10528 4 2 0 1 1696 1771 2670 2742
+10529 4 2 0 1 568 618 2345 2687
+10530 4 2 0 1 2087 2358 1622 2485
+10531 4 2 0 1 1881 2120 788 2732
+10532 4 2 0 1 1943 1971 2402 2411
+10533 4 2 0 1 1585 2447 1958 2750
+10534 4 2 0 1 703 761 855 2316
+10535 4 2 0 1 1635 2121 1966 2566
+10536 4 2 0 1 1148 2733 2410 2777
+10537 4 2 0 1 1832 2129 1599 2365
+10538 4 2 0 1 1811 1551 2163 2611
+10539 4 2 0 1 833 854 714 2649
+10540 4 2 0 1 1604 1912 2281 2371
+10541 4 2 0 1 1967 1596 2606 2752
+10542 4 2 0 1 1832 2073 1999 2129
+10543 4 2 0 1 461 1875 240 2612
+10544 4 2 0 1 1796 2213 1530 2447
+10545 4 2 0 1 1573 2496 1956 2759
+10546 4 2 0 1 1624 2076 2254 2511
+10547 4 2 0 1 1881 2555 1648 2643
+10548 4 2 0 1 1827 2227 1673 2335
+10549 4 2 0 1 331 204 2647 2744
+10550 4 2 0 1 2133 2531 1589 2788
+10551 4 2 0 1 1628 2299 2081 2592
+10552 4 2 0 1 301 1997 338 2605
+10553 4 2 0 1 315 313 2123 2353
+10554 4 2 0 1 236 394 259 2397
+10555 4 2 0 1 1564 1859 2352 2699
+10556 4 2 0 1 2152 2534 1628 2592
+10557 4 2 0 1 1935 2072 1798 2247
+10558 4 2 0 1 1724 2385 2152 2644
+10559 4 2 0 1 1714 2152 2616 2834
+10560 4 2 0 1 1772 1636 2326 2747
+10561 4 2 0 1 1819 2394 1603 2764
+10562 4 2 0 1 1726 1794 2425 2497
+10563 4 2 0 1 1447 1398 579 1460
+10564 4 2 0 1 719 742 774 2722
+10565 4 2 0 1 1554 2177 2592 2742
+10566 4 2 0 1 1890 2451 2034 2634
+10567 4 2 0 1 1488 1428 1499 2131
+10568 4 2 0 1 1597 2065 1856 2401
+10569 4 2 0 1 1633 1992 2245 2340
+10570 4 2 0 1 1454 1190 1276 2513
+10571 4 2 0 1 287 970 276 2107
+10572 4 2 0 1 606 1786 2212 2283
+10573 4 2 0 1 341 326 1978 2559
+10574 4 2 0 1 1823 2225 424 2516
+10575 4 2 0 1 2362 2680 1631 2748
+10576 4 2 0 1 2141 2193 1704 2313
+10577 4 2 0 1 1946 2209 1643 2685
+10578 4 2 0 1 144 2212 841 2638
+10579 4 2 0 1 1755 2511 1837 2781
+10580 4 2 0 1 1464 1415 1465 1803
+10581 4 2 0 1 1569 1902 2237 2490
+10582 4 2 0 1 1391 2247 1445 2326
+10583 4 2 0 1 2069 2206 1828 2725
+10584 4 2 0 1 641 619 2256 2321
+10585 4 2 0 1 1594 1919 2134 2483
+10586 4 2 0 1 1976 2303 2195 2442
+10587 4 2 0 1 1512 1260 1194 2177
+10588 4 2 0 1 1144 2274 2064 2458
+10589 4 2 0 1 1885 1565 2234 2801
+10590 4 2 0 1 1771 2361 1696 2784
+10591 4 2 0 1 370 2030 306 2744
+10592 4 2 0 1 682 2425 145 2497
+10593 4 2 0 1 1631 2680 2156 2795
+10594 4 2 0 1 1097 1026 1073 1914
+10595 4 2 0 1 2007 1772 2318 2767
+10596 4 2 0 1 1622 1776 2329 2375
+10597 4 2 0 1 775 1881 788 2508
+10598 4 2 0 1 540 615 600 2393
+10599 4 2 0 1 858 925 1002 2588
+10600 4 2 0 1 1717 2214 1963 2820
+10601 4 2 0 1 1565 1892 2665 2783
+10602 4 2 0 1 1572 1865 2310 2712
+10603 4 2 0 1 1746 2406 1864 2768
+10604 4 2 0 1 277 1993 821 2498
+10605 4 2 0 1 1776 2649 2253 2717
+10606 4 2 0 1 166 893 165 2278
+10607 4 2 0 1 1783 1750 2348 2538
+10608 4 2 0 1 1569 2590 1980 2633
+10609 4 2 0 1 1795 2006 2108 2681
+10610 4 2 0 1 1128 1021 2140 2274
+10611 4 2 0 1 370 306 204 2744
+10612 4 2 0 1 315 2123 212 2353
+10613 4 2 0 1 1142 1927 1052 2394
+10614 4 2 0 1 1342 1306 1353 2512
+10615 4 2 0 1 2308 2506 1782 2693
+10616 4 2 0 1 606 559 1786 2283
+10617 4 2 0 1 2159 2376 1767 2807
+10618 4 2 0 1 1596 1960 1815 2350
+10619 4 2 0 1 237 2409 2641 2826
+10620 4 2 0 1 1546 2650 1898 2771
+10621 4 2 0 1 379 469 420 1861
+10622 4 2 0 1 1588 2067 1871 2343
+10623 4 2 0 1 1722 2517 2293 2607
+10624 4 2 0 1 2051 2135 1269 2822
+10625 4 2 0 1 2089 2363 1535 2439
+10626 4 2 0 1 1655 1809 2433 2533
+10627 4 2 0 1 1570 1886 2291 2540
+10628 4 2 0 1 646 2009 605 2169
+10629 4 2 0 1 1363 1354 1235 2342
+10630 4 2 0 1 1181 1466 1115 1478
+10631 4 2 0 1 1097 1914 1110 2346
+10632 4 2 0 1 1747 2213 2145 2447
+10633 4 2 0 1 1534 2172 1910 2189
+10634 4 2 0 1 1064 1053 2264 2339
+10635 4 2 0 1 1606 1979 1930 2535
+10636 4 2 0 1 132 2350 2128 2830
+10637 4 2 0 1 557 279 189 2330
+10638 4 2 0 1 1690 2267 1765 2702
+10639 4 2 0 1 1525 1514 843 2135
+10640 4 2 0 1 944 2382 960 2734
+10641 4 2 0 1 1747 2354 2213 2447
+10642 4 2 0 1 1486 1256 1519 2278
+10643 4 2 0 1 1656 2083 1925 2726
+10644 4 2 0 1 1154 1037 1031 2565
+10645 4 2 0 1 2376 2676 1767 2807
+10646 4 2 0 1 1599 1999 1832 2486
+10647 4 2 0 1 2130 2269 1896 2748
+10648 4 2 0 1 482 421 478 2049
+10649 4 2 0 1 2051 2615 1580 2754
+10650 4 2 0 1 1607 1984 2197 2500
+10651 4 2 0 1 545 638 594 2260
+10652 4 2 0 1 662 2569 549 2672
+10653 4 2 0 1 1576 2043 1914 2095
+10654 4 2 0 1 2066 2332 1649 2341
+10655 4 2 0 1 845 724 737 2087
+10656 4 2 0 1 448 2086 461 2612
+10657 4 2 0 1 1463 1287 1292 2178
+10658 4 2 0 1 980 154 153 2115
+10659 4 2 0 1 1652 2236 1972 2390
+10660 4 2 0 1 464 741 720 2692
+10661 4 2 0 1 1712 2510 2320 2794
+10662 4 2 0 1 1805 2133 1589 2208
+10663 4 2 0 1 592 666 547 1831
+10664 4 2 0 1 1520 2184 2177 2822
+10665 4 2 0 1 1474 1382 904 2137
+10666 4 2 0 1 1612 2370 2016 2667
+10667 4 2 0 1 1467 2631 2513 2780
+10668 4 2 0 1 1456 2358 2087 2485
+10669 4 2 0 1 246 454 433 2498
+10670 4 2 0 1 1308 1299 2036 2655
+10671 4 2 0 1 1455 1255 2021 2387
+10672 4 2 0 1 1674 2120 1881 2732
+10673 4 2 0 1 137 671 2179 2777
+10674 4 2 0 1 1656 2151 2126 2648
+10675 4 2 0 1 1562 1841 2314 2380
+10676 4 2 0 1 1533 1932 1970 2270
+10677 4 2 0 1 2260 2569 1700 2672
+10678 4 2 0 1 483 2086 265 2612
+10679 4 2 0 1 1853 2126 1656 2151
+10680 4 2 0 1 1991 2099 1626 2596
+10681 4 2 0 1 1843 2221 1814 2673
+10682 4 2 0 1 1452 1803 1464 2462
+10683 4 2 0 1 1565 2136 1998 2729
+10684 4 2 0 1 1464 2499 1465 2775
+10685 4 2 0 1 1549 1840 2273 2617
+10686 4 2 0 1 1552 2166 2103 2575
+10687 4 2 0 1 1648 2643 1822 2717
+10688 4 2 0 1 1569 2237 2590 2633
+10689 4 2 0 1 1588 2164 1871 2632
+10690 4 2 0 1 161 2035 1929 2416
+10691 4 2 0 1 1804 2295 1777 2707
+10692 4 2 0 1 2040 2726 1795 2757
+10693 4 2 0 1 1578 1985 1905 2705
+10694 4 2 0 1 269 2217 736 2277
+10695 4 2 0 1 636 2587 646 2766
+10696 4 2 0 1 1831 2359 666 2569
+10697 4 2 0 1 1674 1881 2120 2705
+10698 4 2 0 1 1625 2413 1988 2806
+10699 4 2 0 1 762 824 2034 2451
+10700 4 2 0 1 1630 2139 1845 2706
+10701 4 2 0 1 1660 2060 2238 2368
+10702 4 2 0 1 796 752 2596 2677
+10703 4 2 0 1 1309 2668 1755 2740
+10704 4 2 0 1 1558 2145 1822 2643
+10705 4 2 0 1 1353 1418 1389 2322
+10706 4 2 0 1 1649 2341 2332 2762
+10707 4 2 0 1 2137 2287 1624 2715
+10708 4 2 0 1 600 2192 1825 2663
+10709 4 2 0 1 1538 1962 2078 2460
+10710 4 2 0 1 874 870 993 2462
+10711 4 2 0 1 1815 2350 2344 2745
+10712 4 2 0 1 1176 1084 2594 2603
+10713 4 2 0 1 1932 2449 2113 2623
+10714 4 2 0 1 1100 1060 1819 2709
+10715 4 2 0 1 1667 2061 1931 2771
+10716 4 2 0 1 701 710 771 2436
+10717 4 2 0 1 2189 2362 2219 2680
+10718 4 2 0 1 1345 2194 1375 2467
+10719 4 2 0 1 1946 2338 2209 2685
+10720 4 2 0 1 2145 2213 1796 2447
+10721 4 2 0 1 1628 1889 2152 2592
+10722 4 2 0 1 1593 2061 2319 2689
+10723 4 2 0 1 2009 2169 1652 2390
+10724 4 2 0 1 1487 2435 2419 2686
+10725 4 2 0 1 1895 2317 369 2679
+10726 4 2 0 1 684 1725 678 2569
+10727 4 2 0 1 1586 1962 1932 2583
+10728 4 2 0 1 1673 2335 2227 2656
+10729 4 2 0 1 370 297 306 2030
+10730 4 2 0 1 1590 2159 2002 2407
+10731 4 2 0 1 1821 2371 1627 2811
+10732 4 2 0 1 1257 1828 1289 2812
+10733 4 2 0 1 972 271 2101 2576
+10734 4 2 0 1 1746 2543 2406 2768
+10735 4 2 0 1 1272 1195 1259 1808
+10736 4 2 0 1 1697 2355 1915 2824
+10737 4 2 0 1 1220 1357 2137 2301
+10738 4 2 0 1 1915 1670 2147 2791
+10739 4 2 0 1 1683 2295 1804 2599
+10740 4 2 0 1 850 2144 755 2498
+10741 4 2 0 1 1920 2701 2334 2829
+10742 4 2 0 1 607 652 1972 2390
+10743 4 2 0 1 444 262 1877 2685
+10744 4 2 0 1 773 712 703 2403
+10745 4 2 0 1 1895 2023 1600 2317
+10746 4 2 0 1 1814 2224 1647 2480
+10747 4 2 0 1 1769 1908 2379 2736
+10748 4 2 0 1 2157 2222 289 2741
+10749 4 2 0 1 1903 1590 2002 2407
+10750 4 2 0 1 205 2005 373 2323
+10751 4 2 0 1 391 1913 326 2559
+10752 4 2 0 1 227 345 358 2489
+10753 4 2 0 1 351 208 2333 2574
+10754 4 2 0 1 2213 2354 1530 2447
+10755 4 2 0 1 1680 1884 2345 2802
+10756 4 2 0 1 1625 2214 2413 2813
+10757 4 2 0 1 1835 1552 2593 2799
+10758 4 2 0 1 1618 1828 2206 2725
+10759 4 2 0 1 1708 1661 2232 2563
+10760 4 2 0 1 1896 1695 2029 2519
+10761 4 2 0 1 1872 2241 1654 2383
+10762 4 2 0 1 1676 2005 1859 2669
+10763 4 2 0 1 1640 1959 1883 2828
+10764 4 2 0 1 1826 2186 1771 2784
+10765 4 2 0 1 1226 1316 1935 2420
+10766 4 2 0 1 1613 2037 2000 2487
+10767 4 2 0 1 1652 1972 1869 2390
+10768 4 2 0 1 2227 2800 1827 2839
+10769 4 2 0 1 2085 2418 1806 2673
+10770 4 2 0 1 2026 2198 1607 2724
+10771 4 2 0 1 1546 1919 2061 2483
+10772 4 2 0 1 1626 2513 2099 2608
+10773 4 2 0 1 1160 1082 1019 2384
+10774 4 2 0 1 476 1927 442 2424
+10775 4 2 0 1 1269 2051 1494 2135
+10776 4 2 0 1 1866 2112 1671 2427
+10777 4 2 0 1 1574 2526 1921 2811
+10778 4 2 0 1 923 1390 955 2057
+10779 4 2 0 1 2099 2596 1991 2677
+10780 4 2 0 1 1652 2175 1972 2728
+10781 4 2 0 1 1775 2075 1863 2384
+10782 4 2 0 1 1755 1805 2208 2668
+10783 4 2 0 1 2351 2665 1580 2754
+10784 4 2 0 1 1601 2479 2227 2839
+10785 4 2 0 1 1251 2615 2051 2835
+10786 4 2 0 1 308 1896 296 2624
+10787 4 2 0 1 1766 2496 2246 2697
+10788 4 2 0 1 1793 2129 2073 2637
+10789 4 2 0 1 1288 1199 1976 2435
+10790 4 2 0 1 1605 1882 2147 2735
+10791 4 2 0 1 1853 2660 2075 2817
+10792 4 2 0 1 1769 2513 2631 2780
+10793 4 2 0 1 635 2536 1934 2786
+10794 4 2 0 1 1789 2228 2058 2621
+10795 4 2 0 1 2008 2205 1749 2265
+10796 4 2 0 1 1650 2377 2100 2837
+10797 4 2 0 1 625 617 569 1815
+10798 4 2 0 1 597 674 530 1868
+10799 4 2 0 1 2078 2664 1844 2704
+10800 4 2 0 1 1739 2398 1856 2809
+10801 4 2 0 1 1762 2243 2148 2721
+10802 4 2 0 1 1656 2126 2548 2648
+10803 4 2 0 1 1698 2151 2181 2549
+10804 4 2 0 1 1669 1962 2290 2583
+10805 4 2 0 1 1950 2682 1659 2727
+10806 4 2 0 1 1149 1870 1176 2594
+10807 4 2 0 1 2000 2111 1613 2466
+10808 4 2 0 1 1560 2199 1804 2707
+10809 4 2 0 1 1605 2262 2355 2797
+10810 4 2 0 1 1946 1643 2338 2685
+10811 4 2 0 1 1557 1795 2108 2681
+10812 4 2 0 1 918 2514 879 2576
+10813 4 2 0 1 1222 2007 1356 2247
+10814 4 2 0 1 1066 1519 2278 2696
+10815 4 2 0 1 1492 1155 139 2264
+10816 4 2 0 1 2376 2528 1802 2807
+10817 4 2 0 1 535 622 1984 2197
+10818 4 2 0 1 232 2196 405 2328
+10819 4 2 0 1 2127 2155 1687 2327
+10820 4 2 0 1 1624 1797 2137 2301
+10821 4 2 0 1 415 417 2090 2662
+10822 4 2 0 1 1042 1029 2054 2488
+10823 4 2 0 1 2043 2458 1093 2518
+10824 4 2 0 1 212 315 363 2123
+10825 4 2 0 1 796 752 815 2596
+10826 4 2 0 1 1656 2548 2187 2648
+10827 4 2 0 1 1341 1228 1425 1992
+10828 4 2 0 1 1810 2615 2557 2718
+10829 4 2 0 1 1328 1330 1347 2194
+10830 4 2 0 1 1601 2227 1806 2673
+10831 4 2 0 1 1816 2066 1629 2332
+10832 4 2 0 1 844 149 721 2338
+10833 4 2 0 1 1929 2035 1614 2416
+10834 4 2 0 1 772 744 716 2041
+10835 4 2 0 1 607 556 686 2390
+10836 4 2 0 1 1951 2552 2474 2755
+10837 4 2 0 1 926 924 1011 2553
+10838 4 2 0 1 933 1889 984 2365
+10839 4 2 0 1 1059 1023 1054 2140
+10840 4 2 0 1 1851 1619 2237 2431
+10841 4 2 0 1 230 1877 262 2685
+10842 4 2 0 1 1631 2268 1947 2357
+10843 4 2 0 1 497 218 431 2359
+10844 4 2 0 1 1890 1621 2451 2634
+10845 4 2 0 1 1786 2443 1916 2802
+10846 4 2 0 1 1781 2081 2299 2592
+10847 4 2 0 1 537 565 576 1995
+10848 4 2 0 1 1747 2027 2145 2332
+10849 4 2 0 1 1645 2181 2151 2549
+10850 4 2 0 1 1448 1906 2263 2780
+10851 4 2 0 1 1017 1746 2458 2543
+10852 4 2 0 1 1895 2123 1694 2832
+10853 4 2 0 1 1441 1383 1974 2835
+10854 4 2 0 1 1022 1927 1065 2424
+10855 4 2 0 1 1396 1909 2442 2721
+10856 4 2 0 1 1649 2027 2030 2597
+10857 4 2 0 1 2040 2578 1795 2726
+10858 4 2 0 1 1121 1018 1175 2191
+10859 4 2 0 1 299 205 361 2005
+10860 4 2 0 1 2086 2097 1875 2319
+10861 4 2 0 1 916 947 2107 2280
+10862 4 2 0 1 1529 2006 1925 2312
+10863 4 2 0 1 775 788 730 2508
+10864 4 2 0 1 1586 1932 1970 2583
+10865 4 2 0 1 1345 1215 1821 2467
+10866 4 2 0 1 1555 2608 2347 2659
+10867 4 2 0 1 1024 2488 2422 2503
+10868 4 2 0 1 1527 2168 2295 2813
+10869 4 2 0 1 656 2169 2009 2390
+10870 4 2 0 1 2150 2258 1779 2688
+10871 4 2 0 1 1464 1803 2499 2775
+10872 4 2 0 1 1973 2246 596 2367
+10873 4 2 0 1 1757 2426 2403 2628
+10874 4 2 0 1 1330 1347 2194 2655
+10875 4 2 0 1 528 2606 253 2830
+10876 4 2 0 1 1585 2052 2242 2750
+10877 4 2 0 1 1627 1995 1912 2371
+10878 4 2 0 1 1771 1696 2055 2784
+10879 4 2 0 1 1811 2532 2204 2816
+10880 4 2 0 1 1435 1240 2275 2767
+10881 4 2 0 1 1532 1916 2154 2210
+10882 4 2 0 1 1072 1078 1132 1904
+10883 4 2 0 1 1690 2445 2144 2498
+10884 4 2 0 1 1956 2459 1783 2546
+10885 4 2 0 1 597 674 1868 2672
+10886 4 2 0 1 1666 2142 1887 2386
+10887 4 2 0 1 370 297 2030 2744
+10888 4 2 0 1 1327 2104 1954 2579
+10889 4 2 0 1 2173 2478 2128 2818
+10890 4 2 0 1 1926 1678 2102 2302
+10891 4 2 0 1 1934 1630 2192 2786
+10892 4 2 0 1 1581 2378 1822 2717
+10893 4 2 0 1 1260 1520 1204 2177
+10894 4 2 0 1 616 1912 555 2281
+10895 4 2 0 1 786 2403 1849 2628
+10896 4 2 0 1 551 2393 589 2469
+10897 4 2 0 1 1748 2287 2158 2382
+10898 4 2 0 1 1456 2485 2087 2666
+10899 4 2 0 1 299 328 183 2669
+10900 4 2 0 1 1758 2194 1954 2415
+10901 4 2 0 1 314 2397 2211 2815
+10902 4 2 0 1 353 403 2066 2525
+10903 4 2 0 1 1057 2394 1113 2709
+10904 4 2 0 1 152 2115 2109 2523
+10905 4 2 0 1 1177 1305 1442 2016
+10906 4 2 0 1 1671 2651 2116 2798
+10907 4 2 0 1 778 742 748 2690
+10908 4 2 0 1 1200 1207 680 2053
+10909 4 2 0 1 1708 2178 1661 2563
+10910 4 2 0 1 1738 2176 1919 2836
+10911 4 2 0 1 916 2107 875 2280
+10912 4 2 0 1 2246 2496 1618 2697
+10913 4 2 0 1 1407 1410 1396 2442
+10914 4 2 0 1 527 2338 844 2692
+10915 4 2 0 1 390 385 475 2407
+10916 4 2 0 1 1974 2322 1749 2351
+10917 4 2 0 1 1359 1231 1431 2132
+10918 4 2 0 1 1712 2078 1852 2460
+10919 4 2 0 1 1943 2285 1538 2470
+10920 4 2 0 1 1727 2042 2013 2654
+10921 4 2 0 1 1734 2193 2141 2313
+10922 4 2 0 1 1551 2341 1792 2762
+10923 4 2 0 1 932 860 963 1873
+10924 4 2 0 1 1301 2420 2668 2740
+10925 4 2 0 1 1108 2095 1171 2603
+10926 4 2 0 1 1633 2340 2245 2739
+10927 4 2 0 1 1997 2605 1983 2691
+10928 4 2 0 1 267 180 449 2826
+10929 4 2 0 1 1795 2621 2228 2757
+10930 4 2 0 1 1573 2010 2496 2697
+10931 4 2 0 1 1250 1914 1131 2581
+10932 4 2 0 1 1534 2189 1910 2362
+10933 4 2 0 1 1770 2147 2098 2604
+10934 4 2 0 1 2034 2451 1621 2634
+10935 4 2 0 1 1980 2590 2113 2838
+10936 4 2 0 1 1755 2668 2420 2740
+10937 4 2 0 1 774 2529 1810 2690
+10938 4 2 0 1 1655 2433 1950 2450
+10939 4 2 0 1 1742 2026 1968 2500
+10940 4 2 0 1 1636 1824 2381 2704
+10941 4 2 0 1 511 280 505 2692
+10942 4 2 0 1 570 2283 660 2497
+10943 4 2 0 1 1846 2202 1863 2570
+10944 4 2 0 1 489 506 2422 2818
+10945 4 2 0 1 2082 1719 2243 2629
+10946 4 2 0 1 1747 1953 2354 2547
+10947 4 2 0 1 1966 1980 1635 2566
+10948 4 2 0 1 2099 2513 1769 2608
+10949 4 2 0 1 231 468 831 2068
+10950 4 2 0 1 216 424 392 1823
+10951 4 2 0 1 766 1957 703 2403
+10952 4 2 0 1 377 2068 465 2106
+10953 4 2 0 1 1582 1811 2089 2816
+10954 4 2 0 1 339 343 359 1947
+10955 4 2 0 1 722 736 2217 2277
+10956 4 2 0 1 1523 2303 1493 2339
+10957 4 2 0 1 1545 2088 2164 2809
+10958 4 2 0 1 1241 2263 1908 2780
+10959 4 2 0 1 1633 1963 2340 2739
+10960 4 2 0 1 902 896 941 2495
+10961 4 2 0 1 1534 2673 2227 2700
+10962 4 2 0 1 1626 2099 1991 2347
+10963 4 2 0 1 1834 2337 1727 2396
+10964 4 2 0 1 1525 1501 157 843
+10965 4 2 0 1 1637 1821 2371 2467
+10966 4 2 0 1 749 743 777 1993
+10967 4 2 0 1 332 2298 1896 2795
+10968 4 2 0 1 1596 1960 2350 2503
+10969 4 2 0 1 1941 2085 1647 2480
+10970 4 2 0 1 2107 2612 1761 2689
+10971 4 2 0 1 1776 2253 2045 2717
+10972 4 2 0 1 1554 2592 1808 2834
+10973 4 2 0 1 2258 2348 1750 2538
+10974 4 2 0 1 2173 2606 1596 2752
+10975 4 2 0 1 1631 1789 2268 2357
+10976 4 2 0 1 259 2124 1905 2457
+10977 4 2 0 1 1573 1868 2122 2473
+10978 4 2 0 1 2204 2532 1752 2816
+10979 4 2 0 1 1714 2261 2152 2534
+10980 4 2 0 1 494 1915 229 2395
+10981 4 2 0 1 1607 1968 1949 2198
+10982 4 2 0 1 1179 2275 1433 2751
+10983 4 2 0 1 1241 1470 2379 2485
+10984 4 2 0 1 1283 2264 1522 2419
+10985 4 2 0 1 1153 2582 1034 2603
+10986 4 2 0 1 1561 1866 2396 2654
+10987 4 2 0 1 1841 2745 2344 2761
+10988 4 2 0 1 585 558 609 2408
+10989 4 2 0 1 972 2101 2514 2576
+10990 4 2 0 1 1396 1909 1197 2442
+10991 4 2 0 1 842 152 153 2115
+10992 4 2 0 1 1636 1824 2326 2381
+10993 4 2 0 1 1735 2197 1984 2500
+10994 4 2 0 1 1777 1625 2413 2813
+10995 4 2 0 1 1612 2016 1926 2667
+10996 4 2 0 1 984 2129 857 2365
+10997 4 2 0 1 1390 1367 1436 2057
+10998 4 2 0 1 1202 1478 1463 1994
+10999 4 2 0 1 833 714 718 2649
+11000 4 2 0 1 1292 1446 1282 2563
+11001 4 2 0 1 234 2066 175 2404
+11002 4 2 0 1 1678 2102 2001 2703
+11003 4 2 0 1 1741 2700 2800 2839
+11004 4 2 0 1 1599 1911 2048 2486
+11005 4 2 0 1 1427 1241 2358 2485
+11006 4 2 0 1 1744 2402 1971 2411
+11007 4 2 0 1 963 1873 860 2421
+11008 4 2 0 1 1600 1894 2251 2514
+11009 4 2 0 1 1896 2029 1695 2222
+11010 4 2 0 1 1177 1442 1312 1922
+11011 4 2 0 1 1673 2227 1945 2656
+11012 4 2 0 1 1645 1887 2181 2386
+11013 4 2 0 1 1642 2325 1885 2711
+11014 4 2 0 1 1677 2380 1841 2745
+11015 4 2 0 1 1696 2361 1771 2742
+11016 4 2 0 1 196 527 734 2692
+11017 4 2 0 1 2169 2587 1653 2766
+11018 4 2 0 1 1581 2717 1822 2772
+11019 4 2 0 1 774 1810 742 2690
+11020 4 2 0 1 969 2280 1931 2588
+11021 4 2 0 1 969 871 1931 2280
+11022 4 2 0 1 1827 2800 2700 2839
+11023 4 2 0 1 1479 1350 1467 2379
+11024 4 2 0 1 1305 2016 1337 2667
+11025 4 2 0 1 1040 1100 1060 1819
+11026 4 2 0 1 498 294 519 2062
+11027 4 2 0 1 415 2090 1861 2662
+11028 4 2 0 1 1777 2168 1900 2296
+11029 4 2 0 1 1359 1375 1231 2467
+11030 4 2 0 1 1939 1722 2353 2607
+11031 4 2 0 1 826 141 830 2732
+11032 4 2 0 1 225 2317 173 2576
+11033 4 2 0 1 639 2069 1828 2725
+11034 4 2 0 1 1969 2090 1602 2333
+11035 4 2 0 1 1325 1333 2012 2325
+11036 4 2 0 1 1314 1926 1213 2302
+11037 4 2 0 1 1887 2181 1623 2617
+11038 4 2 0 1 1590 1969 1903 2593
+11039 4 2 0 1 1705 2226 1837 2833
+11040 4 2 0 1 1182 1976 1277 2303
+11041 4 2 0 1 468 2144 2068 2404
+11042 4 2 0 1 315 317 220 2156
+11043 4 2 0 1 1399 1992 1362 2337
+11044 4 2 0 1 1476 558 643 1937
+11045 4 2 0 1 639 1828 2069 2812
+11046 4 2 0 1 614 1948 638 2400
+11047 4 2 0 1 391 326 181 2559
+11048 4 2 0 1 1036 2255 1870 2769
+11049 4 2 0 1 1547 1968 2250 2500
+11050 4 2 0 1 1894 2421 977 2695
+11051 4 2 0 1 782 1881 775 2555
+11052 4 2 0 1 1534 2227 1827 2700
+11053 4 2 0 1 1278 2117 1196 2178
+11054 4 2 0 1 765 775 710 2555
+11055 4 2 0 1 1351 1214 2044 2453
+11056 4 2 0 1 1567 2260 1725 2481
+11057 4 2 0 1 926 858 924 2125
+11058 4 2 0 1 476 488 442 1927
+11059 4 2 0 1 1822 1648 2555 2643
+11060 4 2 0 1 1649 2597 1917 2762
+11061 4 2 0 1 352 2268 176 2269
+11062 4 2 0 1 1690 2316 1993 2498
+11063 4 2 0 1 1589 1805 2208 2708
+11064 4 2 0 1 486 2330 279 2694
+11065 4 2 0 1 1602 2090 2185 2333
+11066 4 2 0 1 1914 2474 1576 2640
+11067 4 2 0 1 692 1942 693 2288
+11068 4 2 0 1 1956 2139 1573 2759
+11069 4 2 0 1 1332 1310 1223 2441
+11070 4 2 0 1 263 715 2217 2714
+11071 4 2 0 1 1553 2459 1825 2749
+11072 4 2 0 1 415 443 462 2185
+11073 4 2 0 1 1987 2318 1772 2550
+11074 4 2 0 1 1397 1435 1240 2275
+11075 4 2 0 1 1242 1439 1352 2387
+11076 4 2 0 1 1845 2180 672 2672
+11077 4 2 0 1 1576 2229 2021 2552
+11078 4 2 0 1 1005 944 2287 2382
+11079 4 2 0 1 159 2049 1142 2394
+11080 4 2 0 1 1586 1962 2290 2388
+11081 4 2 0 1 340 1850 235 2605
+11082 4 2 0 1 1527 2651 1818 2798
+11083 4 2 0 1 1621 1785 2203 2634
+11084 4 2 0 1 1560 1804 2199 2257
+11085 4 2 0 1 2195 1840 2303 2586
+11086 4 2 0 1 1726 2360 2212 2638
+11087 4 2 0 1 1422 1419 1438 2551
+11088 4 2 0 1 169 491 307 2691
+11089 4 2 0 1 533 553 2197 2390
+11090 4 2 0 1 1886 1616 2291 2540
+11091 4 2 0 1 1819 2406 2543 2768
+11092 4 2 0 1 1758 2393 1637 2749
+11093 4 2 0 1 408 379 1915 2662
+11094 4 2 0 1 1223 1924 1392 2441
+11095 4 2 0 1 1000 2562 1790 2695
+11096 4 2 0 1 1838 2193 1704 2823
+11097 4 2 0 1 473 424 2225 2516
+11098 4 2 0 1 1004 1832 2280 2588
+11099 4 2 0 1 1575 2119 1975 2570
+11100 4 2 0 1 1562 2286 1770 2595
+11101 4 2 0 1 1821 2467 1215 2475
+11102 4 2 0 1 1789 2621 2058 2748
+11103 4 2 0 1 1569 1851 2237 2633
+11104 4 2 0 1 1503 1810 1263 2722
+11105 4 2 0 1 160 1929 896 2561
+11106 4 2 0 1 1345 1330 1375 2194
+11107 4 2 0 1 1916 2443 1578 2802
+11108 4 2 0 1 1997 2002 1657 2605
+11109 4 2 0 1 885 276 970 1961
+11110 4 2 0 1 1375 2194 1231 2467
+11111 4 2 0 1 1616 1951 2627 2755
+11112 4 2 0 1 1738 2061 1919 2483
+11113 4 2 0 1 930 1011 948 2553
+11114 4 2 0 1 1538 1844 2388 2470
+11115 4 2 0 1 474 253 2606 2694
+11116 4 2 0 1 172 2277 198 2457
+11117 4 2 0 1 1024 1111 2422 2488
+11118 4 2 0 1 217 356 2196 2207
+11119 4 2 0 1 208 447 1879 2574
+11120 4 2 0 1 1554 2385 2152 2616
+11121 4 2 0 1 1578 1955 1884 2345
+11122 4 2 0 1 508 2217 2635 2714
+11123 4 2 0 1 597 1868 633 2256
+11124 4 2 0 1 536 2456 1884 2658
+11125 4 2 0 1 992 1929 161 2035
+11126 4 2 0 1 1556 2016 2664 2765
+11127 4 2 0 1 2419 2435 1735 2686
+11128 4 2 0 1 2172 2537 1664 2700
+11129 4 2 0 1 372 208 447 1879
+11130 4 2 0 1 2074 2332 2145 2772
+11131 4 2 0 1 191 281 793 2498
+11132 4 2 0 1 1668 1831 2472 2618
+11133 4 2 0 1 2504 2583 1669 2796
+11134 4 2 0 1 1527 1818 2295 2798
+11135 4 2 0 1 722 2277 2217 2732
+11136 4 2 0 1 1869 2197 1735 2250
+11137 4 2 0 1 1860 2079 1648 2649
+11138 4 2 0 1 309 2269 2156 2795
+11139 4 2 0 1 1432 2513 1906 2780
+11140 4 2 0 1 656 605 2009 2169
+11141 4 2 0 1 1271 1295 1147 2056
+11142 4 2 0 1 1288 1182 1283 1976
+11143 4 2 0 1 896 992 946 2259
+11144 4 2 0 1 1538 2102 2411 2794
+11145 4 2 0 1 1665 2163 1977 2539
+11146 4 2 0 1 1722 1939 2571 2607
+11147 4 2 0 1 1562 1841 2380 2745
+11148 4 2 0 1 804 753 813 2267
+11149 4 2 0 1 1702 2067 1891 2343
+11150 4 2 0 1 1557 2357 2058 2681
+11151 4 2 0 1 916 914 970 2107
+11152 4 2 0 1 1261 2117 1840 2551
+11153 4 2 0 1 1654 2279 2241 2591
+11154 4 2 0 1 296 1896 332 2222
+11155 4 2 0 1 433 1993 277 2498
+11156 4 2 0 1 675 549 2569 2672
+11157 4 2 0 1 1706 2220 1954 2415
+11158 4 2 0 1 730 2508 788 2732
+11159 4 2 0 1 1600 2023 1895 2832
+11160 4 2 0 1 598 687 1973 2766
+11161 4 2 0 1 485 422 518 2645
+11162 4 2 0 1 1041 2043 1097 2346
+11163 4 2 0 1 1552 2103 1989 2575
+11164 4 2 0 1 219 2030 297 2744
+11165 4 2 0 1 1343 1346 1227 1834
+11166 4 2 0 1 1835 1970 1932 2270
+11167 4 2 0 1 1254 2551 2289 2730
+11168 4 2 0 1 1515 1064 2264 2339
+11169 4 2 0 1 1308 2036 1188 2324
+11170 4 2 0 1 2112 2572 1818 2798
+11171 4 2 0 1 383 297 219 2525
+11172 4 2 0 1 624 573 537 2294
+11173 4 2 0 1 768 824 805 2034
+11174 4 2 0 1 491 1997 291 2298
+11175 4 2 0 1 2175 2595 1815 2728
+11176 4 2 0 1 237 1902 318 2641
+11177 4 2 0 1 1717 2295 1818 2599
+11178 4 2 0 1 1434 1356 1222 2007
+11179 4 2 0 1 834 821 749 2498
+11180 4 2 0 1 584 2530 1809 2658
+11181 4 2 0 1 274 477 276 1961
+11182 4 2 0 1 1197 1840 1277 2442
+11183 4 2 0 1 1737 2023 1895 2679
+11184 4 2 0 1 1452 1803 2462 2720
+11185 4 2 0 1 308 332 1896 2795
+11186 4 2 0 1 1570 2291 1820 2609
+11187 4 2 0 1 1784 2418 2309 2623
+11188 4 2 0 1 1677 2330 2297 2694
+11189 4 2 0 1 1678 2102 2078 2765
+11190 4 2 0 1 2193 2313 1734 2678
+11191 4 2 0 1 983 2162 965 2279
+11192 4 2 0 1 1855 2028 809 2378
+11193 4 2 0 1 1865 2308 1750 2454
+11194 4 2 0 1 845 148 724 2131
+11195 4 2 0 1 1668 2020 1897 2472
+11196 4 2 0 1 751 837 831 2068
+11197 4 2 0 1 1633 2243 1963 2739
+11198 4 2 0 1 500 286 270 1904
+11199 4 2 0 1 2066 2404 1792 2674
+11200 4 2 0 1 1535 2203 1839 2439
+11201 4 2 0 1 1955 2345 2120 2687
+11202 4 2 0 1 1541 1804 2143 2520
+11203 4 2 0 1 1928 2214 1773 2675
+11204 4 2 0 1 447 2446 1879 2574
+11205 4 2 0 1 312 235 456 2002
+11206 4 2 0 1 763 1822 701 2436
+11207 4 2 0 1 1532 2258 2150 2538
+11208 4 2 0 1 1528 2121 2465 2510
+11209 4 2 0 1 1813 1668 2417 2580
+11210 4 2 0 1 2009 2197 553 2390
+11211 4 2 0 1 842 2109 152 2115
+11212 4 2 0 1 2079 2375 1776 2649
+11213 4 2 0 1 866 913 937 2233
+11214 4 2 0 1 1596 2003 1960 2478
+11215 4 2 0 1 169 1997 491 2691
+11216 4 2 0 1 1712 2111 2320 2510
+11217 4 2 0 1 1562 2286 2380 2823
+11218 4 2 0 1 1867 2352 2110 2829
+11219 4 2 0 1 564 1990 2344 2350
+11220 4 2 0 1 1527 1928 2296 2813
+11221 4 2 0 1 735 843 1514 2135
+11222 4 2 0 1 1658 1930 1979 2535
+11223 4 2 0 1 366 452 2159 2323
+11224 4 2 0 1 992 2259 2035 2734
+11225 4 2 0 1 1887 2142 1537 2386
+11226 4 2 0 1 2035 2416 1721 2537
+11227 4 2 0 1 2227 2362 1806 2673
+11228 4 2 0 1 1611 1802 2271 2504
+11229 4 2 0 1 1527 2032 1928 2651
+11230 4 2 0 1 525 514 679 2560
+11231 4 2 0 1 538 605 2009 2408
+11232 4 2 0 1 1789 1978 2556 2613
+11233 4 2 0 1 1671 2252 2047 2313
+11234 4 2 0 1 1054 1066 2278 2696
+11235 4 2 0 1 1612 2018 1926 2320
+11236 4 2 0 1 1682 2364 1900 2593
+11237 4 2 0 1 142 2120 1955 2732
+11238 4 2 0 1 1585 2030 2027 2597
+11239 4 2 0 1 533 2009 553 2390
+11240 4 2 0 1 938 2251 2101 2495
+11241 4 2 0 1 2250 2282 1652 2790
+11242 4 2 0 1 1688 2182 2064 2719
+11243 4 2 0 1 1122 2138 1134 2458
+11244 4 2 0 1 1405 1470 1294 2379
+11245 4 2 0 1 1607 1968 2026 2500
+11246 4 2 0 1 932 887 860 1873
+11247 4 2 0 1 1237 2033 1337 2835
+11248 4 2 0 1 1800 2209 1952 2826
+11249 4 2 0 1 527 495 149 516
+11250 4 2 0 1 1239 1342 1353 2322
+11251 4 2 0 1 464 505 257 2692
+11252 4 2 0 1 530 1973 687 2766
+11253 4 2 0 1 1908 2263 1906 2780
+11254 4 2 0 1 1688 2274 2140 2346
+11255 4 2 0 1 1004 961 962 2588
+11256 4 2 0 1 177 379 420 1965
+11257 4 2 0 1 1338 1420 2018 2667
+11258 4 2 0 1 227 2468 345 2489
+11259 4 2 0 1 1366 2001 1226 2825
+11260 4 2 0 1 494 2262 2355 2395
+11261 4 2 0 1 794 790 754 2171
+11262 4 2 0 1 1616 2244 2187 2540
+11263 4 2 0 1 1710 2232 1883 2710
+11264 4 2 0 1 1572 1857 2310 2515
+11265 4 2 0 1 1452 1415 1464 1803
+11266 4 2 0 1 1686 2336 2092 2448
+11267 4 2 0 1 1616 2552 1951 2755
+11268 4 2 0 1 1316 2094 2420 2740
+11269 4 2 0 1 1585 2447 1880 2597
+11270 4 2 0 1 1535 2363 2203 2439
+11271 4 2 0 1 1675 2065 2266 2471
+11272 4 2 0 1 1562 1815 2595 2728
+11273 4 2 0 1 1397 1240 2148 2275
+11274 4 2 0 1 1783 2538 2258 2546
+11275 4 2 0 1 1256 1453 1516 2146
+11276 4 2 0 1 1581 1822 2378 2772
+11277 4 2 0 1 1583 1964 2025 2622
+11278 4 2 0 1 1879 2446 2088 2676
+11279 4 2 0 1 1660 1975 2039 2544
+11280 4 2 0 1 2303 2586 1787 2716
+11281 4 2 0 1 659 645 1429 2132
+11282 4 2 0 1 1866 1689 2427 2743
+11283 4 2 0 1 1983 2605 1850 2614
+11284 4 2 0 1 1299 1821 1215 2475
+11285 4 2 0 1 1606 2040 2228 2757
+11286 4 2 0 1 1856 2306 1597 2688
+11287 4 2 0 1 1636 2001 1935 2285
+11288 4 2 0 1 1738 2319 2061 2483
+11289 4 2 0 1 1755 2254 2076 2511
+11290 4 2 0 1 796 2596 817 2677
+11291 4 2 0 1 1694 2219 2189 2292
+11292 4 2 0 1 1915 2147 1670 2395
+11293 4 2 0 1 1044 2064 1174 2274
+11294 4 2 0 1 1558 1796 2145 2643
+11295 4 2 0 1 428 1897 184 2297
+11296 4 2 0 1 1345 1821 1299 2655
+11297 4 2 0 1 392 1823 424 2516
+11298 4 2 0 1 1795 2108 2040 2541
+11299 4 2 0 1 1715 2003 1940 2478
+11300 4 2 0 1 625 2344 1815 2350
+11301 4 2 0 1 1562 2314 1841 2728
+11302 4 2 0 1 1281 1493 2303 2339
+11303 4 2 0 1 1134 2138 1124 2518
+11304 4 2 0 1 2110 2352 1867 2431
+11305 4 2 0 1 639 2069 551 2469
+11306 4 2 0 1 1574 2036 2276 2811
+11307 4 2 0 1 1180 1267 2021 2563
+11308 4 2 0 1 570 1912 660 2283
+11309 4 2 0 1 2412 2797 1848 2805
+11310 4 2 0 1 940 2129 888 2461
+11311 4 2 0 1 1409 1457 1253 2751
+11312 4 2 0 1 546 2053 2367 2725
+11313 4 2 0 1 1080 1154 1035 2713
+11314 4 2 0 1 1141 1170 1148 2777
+11315 4 2 0 1 725 1890 691 2451
+11316 4 2 0 1 1703 2466 2000 2487
+11317 4 2 0 1 1040 1100 1819 2406
+11318 4 2 0 1 929 1004 962 1832
+11319 4 2 0 1 346 341 326 1978
+11320 4 2 0 1 1552 2369 2166 2799
+11321 4 2 0 1 1434 2007 1222 2763
+11322 4 2 0 1 1642 2787 1906 2801
+11323 4 2 0 1 1577 1896 2004 2748
+11324 4 2 0 1 411 2317 369 2366
+11325 4 2 0 1 2228 2621 1699 2757
+11326 4 2 0 1 2336 2412 1699 2448
+11327 4 2 0 1 1579 1798 2072 2760
+11328 4 2 0 1 1322 2284 1310 2441
+11329 4 2 0 1 2068 1765 2341 2404
+11330 4 2 0 1 178 2489 1895 2679
+11331 4 2 0 1 1057 1929 160 2394
+11332 4 2 0 1 1534 2362 2227 2673
+11333 4 2 0 1 1623 2223 2022 2730
+11334 4 2 0 1 1354 2077 1355 2507
+11335 4 2 0 1 500 270 170 1904
+11336 4 2 0 1 405 217 356 2196
+11337 4 2 0 1 1566 1911 2105 2261
+11338 4 2 0 1 891 902 2495 2561
+11339 4 2 0 1 1538 2285 2102 2703
+11340 4 2 0 1 1826 2307 1757 2363
+11341 4 2 0 1 1006 918 879 2576
+11342 4 2 0 1 1560 2413 1807 2550
+11343 4 2 0 1 1903 1969 1590 2407
+11344 4 2 0 1 2227 2700 2673 2839
+11345 4 2 0 1 1807 2318 1987 2550
+11346 4 2 0 1 1043 2414 1842 2804
+11347 4 2 0 1 253 1990 275 2830
+11348 4 2 0 1 2149 2163 1665 2611
+11349 4 2 0 1 1806 2227 1673 2362
+11350 4 2 0 1 1827 2537 2172 2700
+11351 4 2 0 1 448 179 2086 2821
+11352 4 2 0 1 1014 2461 884 2589
+11353 4 2 0 1 1704 2122 2314 2723
+11354 4 2 0 1 1583 2054 1904 2202
+11355 4 2 0 1 1680 1948 2433 2706
+11356 4 2 0 1 1674 1881 2705 2773
+11357 4 2 0 1 1559 2423 1851 2490
+11358 4 2 0 1 1622 2041 1908 2736
+11359 4 2 0 1 2145 2502 1822 2772
+11360 4 2 0 1 1160 1161 2384 2769
+11361 4 2 0 1 1446 1180 1282 2563
+11362 4 2 0 1 149 982 150 1946
+11363 4 2 0 1 1971 2511 1755 2781
+11364 4 2 0 1 1457 1824 1380 2381
+11365 4 2 0 1 1428 1924 1311 2484
+11366 4 2 0 1 202 2635 393 2776
+11367 4 2 0 1 1594 2176 2517 2607
+11368 4 2 0 1 906 1484 1485 2184
+11369 4 2 0 1 547 1831 543 2256
+11370 4 2 0 1 2006 1640 2244 2548
+11371 4 2 0 1 2203 2363 1839 2439
+11372 4 2 0 1 2160 2331 1793 2731
+11373 4 2 0 1 1550 2309 2418 2623
+11374 4 2 0 1 2182 2619 1951 2810
+11375 4 2 0 1 1225 1339 1348 2076
+11376 4 2 0 1 1197 1261 1840 2551
+11377 4 2 0 1 2347 2608 1740 2659
+11378 4 2 0 1 351 258 208 2574
+11379 4 2 0 1 1758 1828 2069 2206
+11380 4 2 0 1 681 655 593 2663
+11381 4 2 0 1 443 415 188 2090
+11382 4 2 0 1 775 782 788 1881
+11383 4 2 0 1 2176 2423 1966 2836
+11384 4 2 0 1 1537 2082 2243 2629
+11385 4 2 0 1 1184 1477 1280 2724
+11386 4 2 0 1 1561 2572 2050 2746
+11387 4 2 0 1 901 944 2070 2287
+11388 4 2 0 1 1499 1491 2131 2484
+11389 4 2 0 1 232 440 405 2196
+11390 4 2 0 1 763 765 701 1822
+11391 4 2 0 1 1584 1848 2315 2575
+11392 4 2 0 1 1795 2228 2040 2757
+11393 4 2 0 1 1663 2463 2042 2573
+11394 4 2 0 1 1628 1803 2233 2499
+11395 4 2 0 1 1562 1815 2728 2745
+11396 4 2 0 1 1012 1006 2155 2327
+11397 4 2 0 1 1310 1188 1299 2036
+11398 4 2 0 1 1642 2325 2012 2515
+11399 4 2 0 1 1197 1909 1419 2551
+11400 4 2 0 1 2166 2369 1709 2799
+11401 4 2 0 1 1017 2458 2064 2543
+11402 4 2 0 1 1666 2063 2386 2600
+11403 4 2 0 1 1665 2539 2153 2639
+11404 4 2 0 1 604 2530 554 2536
+11405 4 2 0 1 1578 2450 1950 2802
+11406 4 2 0 1 1282 2229 2581 2582
+11407 4 2 0 1 1822 2717 2145 2772
+11408 4 2 0 1 1611 2504 2143 2796
+11409 4 2 0 1 586 2330 2046 2761
+11410 4 2 0 1 1619 1851 2237 2490
+11411 4 2 0 1 1709 2300 2309 2369
+11412 4 2 0 1 2619 2625 1544 2833
+11413 4 2 0 1 1630 2459 1956 2546
+11414 4 2 0 1 1628 2374 1808 2534
+11415 4 2 0 1 2072 2285 1943 2470
+11416 4 2 0 1 1527 2651 1928 2813
+11417 4 2 0 1 1226 1334 1316 2420
+11418 4 2 0 1 287 276 970 1007
+11419 4 2 0 1 1153 1036 1127 1994
+11420 4 2 0 1 824 2307 2034 2451
+11421 4 2 0 1 1774 2520 2011 2521
+11422 4 2 0 1 1301 2668 1309 2740
+11423 4 2 0 1 2275 2318 1772 2767
+11424 4 2 0 1 1542 2235 2024 2305
+11425 4 2 0 1 533 656 2009 2390
+11426 4 2 0 1 1930 1979 1606 2559
+11427 4 2 0 1 596 530 673 2246
+11428 4 2 0 1 501 508 263 2217
+11429 4 2 0 1 1543 2412 1848 2726
+11430 4 2 0 1 834 277 821 2498
+11431 4 2 0 1 1640 2719 2182 2810
+11432 4 2 0 1 1912 2235 1726 2497
+11433 4 2 0 1 1278 2178 1196 2785
+11434 4 2 0 1 2162 1615 2421 2738
+11435 4 2 0 1 1631 2156 1947 2268
+11436 4 2 0 1 1845 1573 2139 2759
+11437 4 2 0 1 1671 2112 1866 2831
+11438 4 2 0 1 1415 2499 1803 2720
+11439 4 2 0 1 2062 1848 2797 2805
+11440 4 2 0 1 2033 2370 1764 2392
+11441 4 2 0 1 203 288 327 2657
+11442 4 2 0 1 524 516 264 2209
+11443 4 2 0 1 1601 1784 2402 2418
+11444 4 2 0 1 1534 1806 2362 2673
+11445 4 2 0 1 1918 2571 1722 2691
+11446 4 2 0 1 204 373 310 2647
+11447 4 2 0 1 1345 1215 1299 1821
+11448 4 2 0 1 345 1939 212 2489
+11449 4 2 0 1 1238 1444 1389 2008
+11450 4 2 0 1 318 387 412 1902
+11451 4 2 0 1 1636 2072 2247 2747
+11452 4 2 0 1 703 1957 761 2316
+11453 4 2 0 1 2212 2360 1662 2638
+11454 4 2 0 1 1768 2517 2176 2607
+11455 4 2 0 1 683 1973 596 2367
+11456 4 2 0 1 1741 2158 2188 2700
+11457 4 2 0 1 1904 2349 1658 2564
+11458 4 2 0 1 1539 2126 2151 2648
+11459 4 2 0 1 622 558 1984 2408
+11460 4 2 0 1 1863 2075 2025 2817
+11461 4 2 0 1 1280 1476 1207 1937
+11462 4 2 0 1 1741 2511 1971 2781
+11463 4 2 0 1 1357 1382 1474 2137
+11464 4 2 0 1 931 962 857 2129
+11465 4 2 0 1 896 2495 902 2561
+11466 4 2 0 1 1710 2518 2138 2828
+11467 4 2 0 1 1681 2406 1819 2768
+11468 4 2 0 1 807 751 757 2068
+11469 4 2 0 1 866 881 933 1889
+11470 4 2 0 1 685 136 652 2777
+11471 4 2 0 1 1668 2020 2417 2827
+11472 4 2 0 1 221 1947 378 2683
+11473 4 2 0 1 1652 1972 2236 2728
+11474 4 2 0 1 215 378 1847 2366
+11475 4 2 0 1 1422 1438 1236 2551
+11476 4 2 0 1 975 2162 895 2421
+11477 4 2 0 1 1655 2196 1809 2533
+11478 4 2 0 1 812 759 704 2099
+11479 4 2 0 1 147 146 847 2497
+11480 4 2 0 1 1596 2595 2286 2745
+11481 4 2 0 1 1858 1906 2787 2801
+11482 4 2 0 1 1109 1096 2406 2424
+11483 4 2 0 1 1935 2072 1636 2285
+11484 4 2 0 1 1572 2276 1865 2712
+11485 4 2 0 1 1872 2591 911 2715
+11486 4 2 0 1 1253 1401 1178 2201
+11487 4 2 0 1 1134 2458 2138 2518
+11488 4 2 0 1 349 252 418 1930
+11489 4 2 0 1 940 2461 945 2637
+11490 4 2 0 1 1972 2175 1652 2282
+11491 4 2 0 1 221 1947 343 2464
+11492 4 2 0 1 1620 1992 1893 2201
+11493 4 2 0 1 1570 2007 2318 2609
+11494 4 2 0 1 1907 2057 993 2462
+11495 4 2 0 1 1327 1369 2104 2579
+11496 4 2 0 1 896 161 992 1929
+11497 4 2 0 1 1844 2703 2078 2704
+11498 4 2 0 1 2096 2558 1812 2708
+11499 4 2 0 1 1865 2276 1830 2308
+11500 4 2 0 1 1214 1303 1857 2453
+11501 4 2 0 1 1534 1806 2219 2362
+11502 4 2 0 1 1581 2145 2213 2717
+11503 4 2 0 1 1610 2115 2109 2186
+11504 4 2 0 1 467 2144 2404 2445
+11505 4 2 0 1 762 856 2684 2690
+11506 4 2 0 1 942 2514 1894 2542
+11507 4 2 0 1 1664 2537 2035 2734
+11508 4 2 0 1 1546 2061 2650 2771
+11509 4 2 0 1 1951 2182 1544 2619
+11510 4 2 0 1 1750 2454 2050 2572
+11511 4 2 0 1 1874 2230 1540 2524
+11512 4 2 0 1 833 718 689 2649
+11513 4 2 0 1 1740 2432 2347 2659
+11514 4 2 0 1 1638 2310 1857 2515
+11515 4 2 0 1 1646 1976 2195 2434
+11516 4 2 0 1 1363 1364 1369 2342
+11517 4 2 0 1 2014 2329 1693 2598
+11518 4 2 0 1 1195 1808 2299 2374
+11519 4 2 0 1 1671 2116 2112 2798
+11520 4 2 0 1 1706 2324 2013 2746
+11521 4 2 0 1 1654 2254 1872 2383
+11522 4 2 0 1 1855 2436 1629 2772
+11523 4 2 0 1 1600 2251 2101 2514
+11524 4 2 0 1 2316 2702 1690 2816
+11525 4 2 0 1 1858 1743 2729 2787
+11526 4 2 0 1 1666 2505 2063 2600
+11527 4 2 0 1 2074 2145 1581 2772
+11528 4 2 0 1 1825 1637 2393 2749
+11529 4 2 0 1 1717 2413 2214 2813
+11530 4 2 0 1 1615 2162 2636 2738
+11531 4 2 0 1 932 1873 963 2421
+11532 4 2 0 1 482 478 488 1927
+11533 4 2 0 1 351 2333 258 2574
+11534 4 2 0 1 966 942 1894 2542
+11535 4 2 0 1 1061 2522 2339 2804
+11536 4 2 0 1 1506 166 1381 2278
+11537 4 2 0 1 1572 2310 1857 2712
+11538 4 2 0 1 1783 2348 2258 2538
+11539 4 2 0 1 2040 2108 1587 2541
+11540 4 2 0 1 1630 2154 2546 2706
+11541 4 2 0 1 372 335 256 2185
+11542 4 2 0 1 1764 2370 1974 2754
+11543 4 2 0 1 1233 1199 1443 2507
+11544 4 2 0 1 938 912 2101 2514
+11545 4 2 0 1 1421 1410 1248 2091
+11546 4 2 0 1 1585 2027 2447 2597
+11547 4 2 0 1 2128 2173 1596 2478
+11548 4 2 0 1 1550 2449 2113 2568
+11549 4 2 0 1 1549 1901 2195 2600
+11550 4 2 0 1 311 2190 182 2211
+11551 4 2 0 1 1772 2247 2007 2747
+11552 4 2 0 1 1619 2153 1877 2409
+11553 4 2 0 1 1619 2352 2237 2431
+11554 4 2 0 1 763 780 848 2436
+11555 4 2 0 1 1935 2001 1636 2825
+11556 4 2 0 1 2313 2427 1704 2452
+11557 4 2 0 1 904 908 865 2137
+11558 4 2 0 1 409 224 311 2084
+11559 4 2 0 1 1741 1814 2158 2839
+11560 4 2 0 1 1813 1668 2399 2417
+11561 4 2 0 1 1125 1103 1039 2255
+11562 4 2 0 1 1218 1349 2044 2455
+11563 4 2 0 1 1541 2306 2065 2602
+11564 4 2 0 1 758 818 753 2585
+11565 4 2 0 1 1881 1662 2120 2377
+11566 4 2 0 1 239 1977 245 2539
+11567 4 2 0 1 1573 2697 2496 2759
+11568 4 2 0 1 1210 1183 1264 1933
+11569 4 2 0 1 2097 2641 1716 2821
+11570 4 2 0 1 1627 2475 1924 2484
+11571 4 2 0 1 1264 1246 1276 1933
+11572 4 2 0 1 1614 2064 2182 2719
+11573 4 2 0 1 351 2185 443 2333
+11574 4 2 0 1 1543 2336 2025 2792
+11575 4 2 0 1 1930 2559 1913 2713
+11576 4 2 0 1 1697 1969 1903 2657
+11577 4 2 0 1 1367 1436 2057 2462
+11578 4 2 0 1 2143 2504 1791 2796
+11579 4 2 0 1 1119 1083 1077 2056
+11580 4 2 0 1 1152 1094 1106 2060
+11581 4 2 0 1 1852 2078 1962 2460
+11582 4 2 0 1 1319 1188 1329 2324
+11583 4 2 0 1 1664 1873 2221 2738
+11584 4 2 0 1 671 137 685 2777
+11585 4 2 0 1 1640 2006 2335 2681
+11586 4 2 0 1 678 2400 1725 2610
+11587 4 2 0 1 1562 2728 1841 2745
+11588 4 2 0 1 1716 2545 2319 2821
+11589 4 2 0 1 1138 1172 1930 2349
+11590 4 2 0 1 1700 2256 1831 2618
+11591 4 2 0 1 2105 2558 1589 2708
+11592 4 2 0 1 969 1931 925 2588
+11593 4 2 0 1 1632 2117 2273 2785
+11594 4 2 0 1 1539 1883 2126 2648
+11595 4 2 0 1 1566 2261 1817 2778
+11596 4 2 0 1 1913 2559 391 2713
+11597 4 2 0 1 1928 2813 2651 2820
+11598 4 2 0 1 1338 2018 1195 2374
+11599 4 2 0 1 1529 1925 2216 2774
+11600 4 2 0 1 319 307 212 2353
+11601 4 2 0 1 1272 1195 1808 2299
+11602 4 2 0 1 1822 2643 2145 2717
+11603 4 2 0 1 1534 2189 2219 2292
+11604 4 2 0 1 2017 2217 1718 2635
+11605 4 2 0 1 975 963 860 2421
+11606 4 2 0 1 1581 2045 2028 2378
+11607 4 2 0 1 1682 2031 2168 2364
+11608 4 2 0 1 711 2375 695 2649
+11609 4 2 0 1 1545 1856 2401 2809
+11610 4 2 0 1 419 330 168 2200
+11611 4 2 0 1 564 1990 2350 2830
+11612 4 2 0 1 1565 2665 2351 2783
+11613 4 2 0 1 1620 2245 2599 2707
+11614 4 2 0 1 1963 2340 1717 2820
+11615 4 2 0 1 1561 2112 2348 2572
+11616 4 2 0 1 809 763 848 2378
+11617 4 2 0 1 1580 1839 2361 2754
+11618 4 2 0 1 510 514 497 2359
+11619 4 2 0 1 1452 1415 1803 2720
+11620 4 2 0 1 962 961 2248 2588
+11621 4 2 0 1 1824 1772 2326 2751
+11622 4 2 0 1 2111 2466 1966 2566
+11623 4 2 0 1 1209 1296 2001 2302
+11624 4 2 0 1 1965 2752 177 2791
+11625 4 2 0 1 2194 2415 1758 2749
+11626 4 2 0 1 327 2157 289 2741
+11627 4 2 0 1 1580 2361 2051 2754
+11628 4 2 0 1 1872 2254 2076 2383
+11629 4 2 0 1 1990 2128 1596 2350
+11630 4 2 0 1 167 366 452 2159
+11631 4 2 0 1 2349 2564 1172 2565
+11632 4 2 0 1 2062 2797 2412 2805
+11633 4 2 0 1 940 880 931 2073
+11634 4 2 0 1 299 361 328 2669
+11635 4 2 0 1 1581 2213 2014 2717
+11636 4 2 0 1 847 146 2425 2497
+11637 4 2 0 1 1756 2660 2025 2792
+11638 4 2 0 1 304 490 387 1983
+11639 4 2 0 1 1361 1219 2325 2711
+11640 4 2 0 1 532 635 604 2536
+11641 4 2 0 1 1707 2474 1914 2640
+11642 4 2 0 1 2228 2601 1699 2621
+11643 4 2 0 1 1868 1573 2180 2473
+11644 4 2 0 1 1668 1813 2207 2580
+11645 4 2 0 1 1698 2151 2022 2181
+11646 4 2 0 1 1620 2245 1992 2340
+11647 4 2 0 1 1469 1837 2620 2740
+11648 4 2 0 1 1527 2295 2168 2527
+11649 4 2 0 1 1554 2152 2385 2644
+11650 4 2 0 1 1614 2182 2218 2719
+11651 4 2 0 1 207 316 2130 2624
+11652 4 2 0 1 720 743 821 1993
+11653 4 2 0 1 1705 2474 1951 2833
+11654 4 2 0 1 1679 2036 2284 2712
+11655 4 2 0 1 173 2101 271 2576
+11656 4 2 0 1 2189 1631 2362 2680
+11657 4 2 0 1 263 2217 508 2714
+11658 4 2 0 1 1657 2113 2590 2838
+11659 4 2 0 1 1679 1834 2324 2746
+11660 4 2 0 1 1748 2636 2162 2738
+11661 4 2 0 1 1986 2037 1892 2783
+11662 4 2 0 1 1595 2524 2343 2808
+11663 4 2 0 1 1360 1369 1437 2104
+11664 4 2 0 1 1396 1419 1197 1909
+11665 4 2 0 1 1640 1883 2548 2828
+11666 4 2 0 1 1866 2463 2047 2573
+11667 4 2 0 1 311 2084 224 2190
+11668 4 2 0 1 340 1850 2605 2614
+11669 4 2 0 1 1979 2336 1699 2448
+11670 4 2 0 1 1520 2177 1260 2822
+11671 4 2 0 1 1896 2029 2004 2519
+11672 4 2 0 1 1516 1220 1474 2137
+11673 4 2 0 1 2166 2369 1888 2774
+11674 4 2 0 1 850 813 2267 2316
+11675 4 2 0 1 760 1855 811 2585
+11676 4 2 0 1 1111 1050 2422 2626
+11677 4 2 0 1 938 869 912 2514
+11678 4 2 0 1 930 933 974 2365
+11679 4 2 0 1 358 2489 178 2679
+11680 4 2 0 1 2179 2264 1646 2434
+11681 4 2 0 1 1858 2136 1565 2729
+11682 4 2 0 1 1898 2224 1647 2389
+11683 4 2 0 1 2258 2538 1532 2546
+11684 4 2 0 1 1561 2348 2050 2572
+11685 4 2 0 1 1671 1818 2112 2831
+11686 4 2 0 1 1887 2181 1537 2629
+11687 4 2 0 1 1409 2455 1218 2493
+11688 4 2 0 1 641 676 619 2321
+11689 4 2 0 1 2318 2609 2007 2767
+11690 4 2 0 1 878 923 967 2241
+11691 4 2 0 1 1564 2352 1859 2671
+11692 4 2 0 1 484 2211 298 2446
+11693 4 2 0 1 2641 2821 414 2826
+11694 4 2 0 1 1533 1970 1932 2583
+11695 4 2 0 1 1111 1098 1050 2626
+11696 4 2 0 1 400 426 460 1809
+11697 4 2 0 1 663 617 607 2236
+11698 4 2 0 1 1651 2199 1824 2455
+11699 4 2 0 1 1252 2132 1400 2469
+11700 4 2 0 1 1716 1952 2545 2821
+11701 4 2 0 1 762 2684 2034 2690
+11702 4 2 0 1 396 2657 2662 2824
+11703 4 2 0 1 1772 2326 2247 2747
+11704 4 2 0 1 1365 1433 2275 2770
+11705 4 2 0 1 677 540 600 2281
+11706 4 2 0 1 1822 2555 1648 2717
+11707 4 2 0 1 1723 2478 2173 2818
+11708 4 2 0 1 1193 1441 2322 2615
+11709 4 2 0 1 2019 2214 1625 2675
+11710 4 2 0 1 2145 2577 2213 2717
+11711 4 2 0 1 226 186 2127 2327
+11712 4 2 0 1 1322 1333 1303 2284
+11713 4 2 0 1 1590 1835 2270 2364
+11714 4 2 0 1 206 387 318 2669
+11715 4 2 0 1 1628 2299 1808 2374
+11716 4 2 0 1 1343 1319 1329 2324
+11717 4 2 0 1 1872 2254 1654 2591
+11718 4 2 0 1 474 255 492 2297
+11719 4 2 0 1 665 657 1828 2725
+11720 4 2 0 1 1718 2217 2017 2773
+11721 4 2 0 1 560 2169 556 2236
+11722 4 2 0 1 2006 2187 1656 2548
+11723 4 2 0 1 2020 2756 2417 2827
+11724 4 2 0 1 800 758 753 2288
+11725 4 2 0 1 808 2253 689 2555
+11726 4 2 0 1 1055 2119 1019 2570
+11727 4 2 0 1 1515 2264 1523 2339
+11728 4 2 0 1 1991 2265 1626 2347
+11729 4 2 0 1 231 465 377 2068
+11730 4 2 0 1 485 2217 422 2645
+11731 4 2 0 1 1504 1984 1518 2686
+11732 4 2 0 1 1487 1283 1522 2419
+11733 4 2 0 1 1608 2231 1986 2476
+11734 4 2 0 1 2151 2187 1656 2216
+11735 4 2 0 1 1601 2673 2480 2839
+11736 4 2 0 1 1608 2231 1791 2334
+11737 4 2 0 1 2047 2252 1671 2831
+11738 4 2 0 1 1609 2195 1840 2442
+11739 4 2 0 1 1872 2287 1748 2591
+11740 4 2 0 1 1893 1992 1633 2770
+11741 4 2 0 1 880 2073 940 2637
+11742 4 2 0 1 1051 1156 2128 2422
+11743 4 2 0 1 1578 1955 2345 2705
+11744 4 2 0 1 829 691 725 1890
+11745 4 2 0 1 845 1488 1480 148
+11746 4 2 0 1 999 2165 899 2670
+11747 4 2 0 1 993 876 967 2057
+11748 4 2 0 1 1026 2043 1108 2095
+11749 4 2 0 1 1738 1999 2048 2486
+11750 4 2 0 1 1496 1499 1491 2131
+11751 4 2 0 1 1622 1908 2329 2736
+11752 4 2 0 1 332 291 200 2298
+11753 4 2 0 1 1533 1932 2270 2838
+11754 4 2 0 1 555 616 573 1912
+11755 4 2 0 1 1552 2166 2029 2799
+11756 4 2 0 1 1262 1250 1131 2581
+11757 4 2 0 1 1083 1115 1145 1994
+11758 4 2 0 1 1692 1892 2037 2783
+11759 4 2 0 1 1560 1804 2257 2707
+11760 4 2 0 1 1081 2255 1036 2769
+11761 4 2 0 1 1586 1900 2369 2806
+11762 4 2 0 1 1564 2118 2701 2829
+11763 4 2 0 1 1777 2295 2168 2813
+11764 4 2 0 1 1323 1995 1491 2484
+11765 4 2 0 1 1717 2214 1928 2813
+11766 4 2 0 1 1584 2103 2166 2575
+11767 4 2 0 1 1949 2141 1653 2723
+11768 4 2 0 1 1429 1400 1252 2132
+11769 4 2 0 1 977 1894 927 2421
+11770 4 2 0 1 1669 2257 2143 2290
+11771 4 2 0 1 1224 1357 1511 2715
+11772 4 2 0 1 1445 1179 1433 2751
+11773 4 2 0 1 1220 1358 1357 2301
+11774 4 2 0 1 1165 1842 1043 2414
+11775 4 2 0 1 1537 2181 1887 2386
+11776 4 2 0 1 1534 2219 1806 2673
+11777 4 2 0 1 734 527 844 2692
+11778 4 2 0 1 1081 1032 1036 2255
+11779 4 2 0 1 1753 2110 2352 2829
+11780 4 2 0 1 1648 2555 2253 2717
+11781 4 2 0 1 318 1902 2409 2669
+11782 4 2 0 1 224 452 398 2084
+11783 4 2 0 1 1698 2187 2151 2216
+11784 4 2 0 1 440 2533 2328 2819
+11785 4 2 0 1 778 748 851 1933
+11786 4 2 0 1 237 2409 1902 2641
+11787 4 2 0 1 1041 1026 1097 2043
+11788 4 2 0 1 1886 2072 1798 2760
+11789 4 2 0 1 421 2049 362 2464
+11790 4 2 0 1 1162 1085 1150 2191
+11791 4 2 0 1 1592 2122 2059 2827
+11792 4 2 0 1 2151 2187 1698 2648
+11793 4 2 0 1 1878 2142 1666 2440
+11794 4 2 0 1 1639 2220 2654 2743
+11795 4 2 0 1 531 672 594 1845
+11796 4 2 0 1 1138 446 1114 2349
+11797 4 2 0 1 171 464 277 1993
+11798 4 2 0 1 1322 1310 1332 2441
+11799 4 2 0 1 1667 2428 1898 2771
+11800 4 2 0 1 1699 2130 2062 2805
+11801 4 2 0 1 261 441 480 2456
+11802 4 2 0 1 2218 2335 1673 2681
+11803 4 2 0 1 1865 1750 2306 2454
+11804 4 2 0 1 1630 2139 1956 2759
+11805 4 2 0 1 1444 2008 1238 2205
+11806 4 2 0 1 1496 667 1480 2131
+11807 4 2 0 1 373 2005 310 2647
+11808 4 2 0 1 2377 2705 1881 2773
+11809 4 2 0 1 574 1884 536 2456
+11810 4 2 0 1 1738 2061 2486 2650
+11811 4 2 0 1 1741 2158 2700 2839
+11812 4 2 0 1 1854 1743 2598 2729
+11813 4 2 0 1 1610 2385 1839 2439
+11814 4 2 0 1 1297 1312 1349 1922
+11815 4 2 0 1 865 2137 908 2715
+11816 4 2 0 1 606 618 664 2212
+11817 4 2 0 1 1666 2356 1901 2600
+11818 4 2 0 1 1243 1404 1434 2007
+11819 4 2 0 1 305 389 1918 2571
+11820 4 2 0 1 1788 2276 2036 2811
+11821 4 2 0 1 934 960 2259 2734
+11822 4 2 0 1 1853 1575 2646 2660
+11823 4 2 0 1 2029 2166 1709 2799
+11824 4 2 0 1 1182 1248 1277 1976
+11825 4 2 0 1 1996 2539 248 2674
+11826 4 2 0 1 2017 2217 1674 2773
+11827 4 2 0 1 134 663 135 2410
+11828 4 2 0 1 1545 2376 2031 2807
+11829 4 2 0 1 1679 2453 1774 2521
+11830 4 2 0 1 1964 2315 1605 2735
+11831 4 2 0 1 365 350 183 2153
+11832 4 2 0 1 1712 2121 2111 2510
+11833 4 2 0 1 1853 1656 2126 2578
+11834 4 2 0 1 1659 2239 1985 2682
+11835 4 2 0 1 1100 1819 2406 2543
+11836 4 2 0 1 755 709 757 2144
+11837 4 2 0 1 1613 1966 2566 2633
+11838 4 2 0 1 406 320 333 2399
+11839 4 2 0 1 1323 1326 1995 2467
+11840 4 2 0 1 1247 1401 1399 2201
+11841 4 2 0 1 1142 1065 1052 1927
+11842 4 2 0 1 1613 2037 2110 2373
+11843 4 2 0 1 1648 2555 2161 2649
+11844 4 2 0 1 1242 1489 1255 2387
+11845 4 2 0 1 1995 2294 1637 2467
+11846 4 2 0 1 1683 1818 2295 2599
+11847 4 2 0 1 1798 1820 2387 2763
+11848 4 2 0 1 1926 2018 1612 2667
+11849 4 2 0 1 966 927 977 1894
+11850 4 2 0 1 1092 1042 1101 2488
+11851 4 2 0 1 1675 1920 2242 2701
+11852 4 2 0 1 2007 2247 1798 2747
+11853 4 2 0 1 838 1265 1350 2631
+11854 4 2 0 1 1741 2479 2226 2781
+11855 4 2 0 1 499 177 420 1965
+11856 4 2 0 1 1366 2381 2001 2825
+11857 4 2 0 1 287 920 1007 2107
+11858 4 2 0 1 298 322 348 2397
+11859 4 2 0 1 1366 1296 1226 2001
+11860 4 2 0 1 2422 2503 1723 2818
+11861 4 2 0 1 1959 2138 2518 2828
+11862 4 2 0 1 1410 1248 2091 2442
+11863 4 2 0 1 534 564 1990 2344
+11864 4 2 0 1 1110 1914 1097 2696
+11865 4 2 0 1 702 2034 768 2690
+11866 4 2 0 1 1527 2295 1818 2651
+11867 4 2 0 1 2226 2479 1579 2781
+11868 4 2 0 1 1709 2312 1945 2774
+11869 4 2 0 1 467 246 2144 2498
+11870 4 2 0 1 1418 1353 1219 1885
+11871 4 2 0 1 1670 1915 2395 2791
+11872 4 2 0 1 256 335 419 2200
+11873 4 2 0 1 1883 2710 2126 2828
+11874 4 2 0 1 1669 2290 2143 2796
+11875 4 2 0 1 2196 2328 440 2533
+11876 4 2 0 1 1407 1396 1197 2442
+11877 4 2 0 1 1042 1029 1098 2054
+11878 4 2 0 1 1855 2501 811 2585
+11879 4 2 0 1 2034 2529 768 2690
+11880 4 2 0 1 308 201 332 2795
+11881 4 2 0 1 1481 2299 1279 2499
+11882 4 2 0 1 2110 2373 1753 2633
+11883 4 2 0 1 1865 2521 2310 2712
+11884 4 2 0 1 1831 2256 1592 2618
+11885 4 2 0 1 1595 2524 1874 2652
+11886 4 2 0 1 1991 2347 2099 2677
+11887 4 2 0 1 1595 2258 2348 2398
+11888 4 2 0 1 2374 2499 1395 2720
+11889 4 2 0 1 1307 1367 1390 2057
+11890 4 2 0 1 836 819 465 2106
+11891 4 2 0 1 1798 2247 2072 2747
+11892 4 2 0 1 838 746 750 2631
+11893 4 2 0 1 530 598 687 1973
+11894 4 2 0 1 1580 2361 1839 2784
+11895 4 2 0 1 1822 2253 2555 2717
+11896 4 2 0 1 635 604 2536 2786
+11897 4 2 0 1 501 740 736 2217
+11898 4 2 0 1 1579 1943 1971 2479
+11899 4 2 0 1 2146 2301 1797 2625
+11900 4 2 0 1 1788 2284 2276 2712
+11901 4 2 0 1 1059 2140 1021 2346
+11902 4 2 0 1 190 259 254 2124
+11903 4 2 0 1 393 2635 2017 2776
+11904 4 2 0 1 1637 2194 1821 2467
+11905 4 2 0 1 301 291 338 1997
+11906 4 2 0 1 1741 2479 1971 2839
+11907 4 2 0 1 1600 2292 1843 2832
+11908 4 2 0 1 1618 2272 1973 2697
+11909 4 2 0 1 1613 1851 2466 2633
+11910 4 2 0 1 1542 2024 1923 2305
+11911 4 2 0 1 2102 2285 1538 2411
+11912 4 2 0 1 1481 2499 2081 2775
+11913 4 2 0 1 766 703 712 2403
+11914 4 2 0 1 1639 2042 2463 2654
+11915 4 2 0 1 1064 1053 1155 2264
+11916 4 2 0 1 794 851 748 1933
+11917 4 2 0 1 1601 2402 1941 2418
+11918 4 2 0 1 1705 1837 2620 2833
+11919 4 2 0 1 1198 1491 1326 1995
+11920 4 2 0 1 1584 2315 1882 2575
+11921 4 2 0 1 201 2298 332 2795
+11922 4 2 0 1 2160 2731 1559 2758
+11923 4 2 0 1 1549 2195 1840 2617
+11924 4 2 0 1 1074 1096 2405 2642
+11925 4 2 0 1 1795 2040 2228 2541
+11926 4 2 0 1 1825 1637 2281 2393
+11927 4 2 0 1 690 809 2028 2378
+11928 4 2 0 1 1624 2301 1837 2625
+11929 4 2 0 1 1820 1616 2291 2755
+11930 4 2 0 1 295 2446 447 2574
+11931 4 2 0 1 1618 2010 2215 2272
+11932 4 2 0 1 1932 2113 1635 2623
+11933 4 2 0 1 1197 1261 1277 1840
+11934 4 2 0 1 2221 2492 1615 2738
+11935 4 2 0 1 1733 2088 2446 2676
+11936 4 2 0 1 1271 1147 1133 2056
+11937 4 2 0 1 753 818 795 2267
+11938 4 2 0 1 1673 2006 2312 2681
+11939 4 2 0 1 1845 2260 1700 2672
+11940 4 2 0 1 1552 2103 2166 2369
+11941 4 2 0 1 951 2101 2494 2495
+11942 4 2 0 1 1270 1914 1497 2640
+11943 4 2 0 1 1614 2035 2172 2537
+11944 4 2 0 1 966 942 927 1894
+11945 4 2 0 1 1073 1914 2095 2581
+11946 4 2 0 1 1634 1802 2376 2528
+11947 4 2 0 1 1915 2355 494 2824
+11948 4 2 0 1 777 1993 743 2316
+11949 4 2 0 1 1728 2335 1827 2800
+11950 4 2 0 1 1641 2354 1953 2547
+11951 4 2 0 1 798 1942 799 2677
+11952 4 2 0 1 1709 2369 2166 2774
+11953 4 2 0 1 1185 1347 1327 1954
+11954 4 2 0 1 2031 2376 1802 2807
+11955 4 2 0 1 1535 2431 2439 2487
+11956 4 2 0 1 1399 1341 1362 1992
+11957 4 2 0 1 1673 2312 2058 2681
+11958 4 2 0 1 1581 2028 1855 2378
+11959 4 2 0 1 1211 1279 1484 2081
+11960 4 2 0 1 236 2397 2124 2819
+11961 4 2 0 1 1956 2630 1702 2652
+11962 4 2 0 1 881 933 1889 2589
+11963 4 2 0 1 1814 2700 2158 2839
+11964 4 2 0 1 1569 1980 1966 2633
+11965 4 2 0 1 1667 2486 1911 2778
+11966 4 2 0 1 2061 2483 2319 2689
+11967 4 2 0 1 410 177 1965 2752
+11968 4 2 0 1 1481 1279 2081 2499
+11969 4 2 0 1 1592 2618 2122 2827
+11970 4 2 0 1 1534 1814 2221 2673
+11971 4 2 0 1 633 1868 530 2766
+11972 4 2 0 1 987 1498 959 2241
+11973 4 2 0 1 2044 2455 1774 2520
+11974 4 2 0 1 1433 2751 2275 2770
+11975 4 2 0 1 1908 2041 1622 2485
+11976 4 2 0 1 1783 1956 2546 2652
+11977 4 2 0 1 1761 2155 2127 2327
+11978 4 2 0 1 628 1955 142 2687
+11979 4 2 0 1 1136 1142 1052 2394
+11980 4 2 0 1 786 1849 698 2628
+11981 4 2 0 1 1605 1882 2315 2575
+11982 4 2 0 1 1585 1958 2239 2750
+11983 4 2 0 1 916 875 947 2280
+11984 4 2 0 1 751 831 757 2068
+11985 4 2 0 1 666 543 547 1831
+11986 4 2 0 1 1697 2157 2355 2824
+11987 4 2 0 1 1457 2326 1824 2381
+11988 4 2 0 1 1594 1918 2097 2571
+11989 4 2 0 1 1403 1247 1346 2201
+11990 4 2 0 1 1950 1659 2430 2727
+11991 4 2 0 1 1535 2110 1867 2431
+11992 4 2 0 1 1471 1307 1298 2241
+11993 4 2 0 1 585 643 558 1937
+11994 4 2 0 1 597 633 641 2256
+11995 4 2 0 1 1869 2250 1652 2390
+11996 4 2 0 1 1808 1628 2534 2592
+11997 4 2 0 1 2112 2348 1595 2652
+11998 4 2 0 1 1698 2291 2187 2540
+11999 4 2 0 1 349 223 252 2349
+12000 4 2 0 1 159 1142 1136 2394
+12001 4 2 0 1 1676 2237 1902 2669
+12002 4 2 0 1 206 304 1983 2614
+12003 4 2 0 1 833 695 854 2649
+12004 4 2 0 1 553 2009 605 2408
+12005 4 2 0 1 1614 2719 2218 2814
+12006 4 2 0 1 1626 2171 1933 2596
+12007 4 2 0 1 1472 1497 1270 1914
+12008 4 2 0 1 1576 1883 2232 2552
+12009 4 2 0 1 1940 1964 1823 2735
+12010 4 2 0 1 1338 1388 2018 2374
+12011 4 2 0 1 1883 1710 2710 2828
+12012 4 2 0 1 1671 2313 2230 2678
+12013 4 2 0 1 1409 1380 1457 1824
+12014 4 2 0 1 2022 2151 1698 2648
+12015 4 2 0 1 1425 2148 1385 2721
+12016 4 2 0 1 192 223 270 2349
+12017 4 2 0 1 1658 2349 1930 2565
+12018 4 2 0 1 1151 162 161 2035
+12019 4 2 0 1 1590 1850 2159 2528
+12020 4 2 0 1 1573 1899 2139 2630
+12021 4 2 0 1 1745 2179 1869 2777
+12022 4 2 0 1 1859 1665 2153 2639
+12023 4 2 0 1 2598 2729 1743 2787
+12024 4 2 0 1 1329 2284 1303 2453
+12025 4 2 0 1 1863 2384 2075 2817
+12026 4 2 0 1 1913 2405 1130 2713
+12027 4 2 0 1 1813 2196 1655 2328
+12028 4 2 0 1 1668 2207 1813 2399
+12029 4 2 0 1 1582 2089 2149 2426
+12030 4 2 0 1 1955 2120 142 2687
+12031 4 2 0 1 689 2253 823 2649
+12032 4 2 0 1 138 1053 2179 2264
+12033 4 2 0 1 1604 2371 1921 2526
+12034 4 2 0 1 1353 1306 1219 2512
+12035 4 2 0 1 308 332 296 1896
+12036 4 2 0 1 1472 1914 1250 2581
+12037 4 2 0 1 1076 2405 1913 2642
+12038 4 2 0 1 253 2606 1990 2830
+12039 4 2 0 1 2013 2042 1639 2654
+12040 4 2 0 1 589 2132 659 2469
+12041 4 2 0 1 615 2132 589 2393
+12042 4 2 0 1 1009 2562 859 2695
+12043 4 2 0 1 1360 1185 1327 2104
+12044 4 2 0 1 708 704 817 2099
+12045 4 2 0 1 1752 2702 2316 2816
+12046 4 2 0 1 1098 2054 1050 2626
+12047 4 2 0 1 2041 2379 1908 2736
+12048 4 2 0 1 1967 1677 2297 2694
+12049 4 2 0 1 206 304 387 1983
+12050 4 2 0 1 1949 1653 2272 2723
+12051 4 2 0 1 1343 1227 1319 2324
+12052 4 2 0 1 2003 2286 1596 2595
+12053 4 2 0 1 985 923 955 2057
+12054 4 2 0 1 2128 2478 1596 2503
+12055 4 2 0 1 1608 1791 2231 2476
+12056 4 2 0 1 1864 1107 2170 2642
+12057 4 2 0 1 1520 1284 2184 2822
+12058 4 2 0 1 1732 2293 2353 2568
+12059 4 2 0 1 2230 2313 1704 2678
+12060 4 2 0 1 1116 133 1960 2503
+12061 4 2 0 1 1027 1864 1089 2406
+12062 4 2 0 1 1868 2180 1973 2473
+12063 4 2 0 1 1896 2748 2269 2795
+12064 4 2 0 1 2332 2502 2145 2772
+12065 4 2 0 1 912 972 2101 2514
+12066 4 2 0 1 1434 1243 2007 2763
+12067 4 2 0 1 939 2287 883 2715
+12068 4 2 0 1 1643 2209 1946 2793
+12069 4 2 0 1 1977 2163 1690 2445
+12070 4 2 0 1 1592 2059 2314 2380
+12071 4 2 0 1 353 403 234 2066
+12072 4 2 0 1 816 854 695 1860
+12073 4 2 0 1 2187 2291 1616 2540
+12074 4 2 0 1 1537 2214 1963 2739
+12075 4 2 0 1 1515 1064 1155 2264
+12076 4 2 0 1 374 2366 354 2683
+12077 4 2 0 1 1144 1174 1044 2064
+12078 4 2 0 1 2064 2458 1746 2543
+12079 4 2 0 1 1595 2348 2258 2652
+12080 4 2 0 1 1451 1467 2513 2780
+12081 4 2 0 1 134 1152 1960 2410
+12082 4 2 0 1 507 2128 2422 2818
+12083 4 2 0 1 1559 1851 2423 2758
+12084 4 2 0 1 467 2404 453 2445
+12085 4 2 0 1 1325 1361 1219 2325
+12086 4 2 0 1 725 691 825 2451
+12087 4 2 0 1 2095 2229 1661 2582
+12088 4 2 0 1 1963 2142 1537 2243
+12089 4 2 0 1 1132 266 1050 2626
+12090 4 2 0 1 2124 2450 1884 2533
+12091 4 2 0 1 917 911 2241 2591
+12092 4 2 0 1 1699 2336 1979 2757
+12093 4 2 0 1 889 908 1382 2715
+12094 4 2 0 1 1534 2219 2189 2362
+12095 4 2 0 1 762 2034 702 2690
+12096 4 2 0 1 229 2395 1915 2791
+12097 4 2 0 1 759 817 2099 2677
+12098 4 2 0 1 1691 2300 1988 2388
+12099 4 2 0 1 1472 2229 1914 2581
+12100 4 2 0 1 1092 1123 1087 1846
+12101 4 2 0 1 1642 1854 2174 2787
+12102 4 2 0 1 398 205 373 2323
+12103 4 2 0 1 1899 2580 2417 2827
+12104 4 2 0 1 1719 2082 2609 2629
+12105 4 2 0 1 1821 2475 2036 2811
+12106 4 2 0 1 1100 1113 1060 2709
+12107 4 2 0 1 1834 2337 2201 2737
+12108 4 2 0 1 1535 2089 2203 2363
+12109 4 2 0 1 990 871 877 1931
+12110 4 2 0 1 1105 2543 2064 2709
+12111 4 2 0 1 1651 2455 2044 2520
+12112 4 2 0 1 1558 1796 2643 2837
+12113 4 2 0 1 169 338 491 1997
+12114 4 2 0 1 237 318 1902 2409
+12115 4 2 0 1 1718 2106 2436 2502
+12116 4 2 0 1 866 930 948 2233
+12117 4 2 0 1 1219 2325 1885 2512
+12118 4 2 0 1 1551 2532 1953 2547
+12119 4 2 0 1 1646 1901 2195 2716
+12120 4 2 0 1 1042 2054 1098 2488
+12121 4 2 0 1 1770 2286 2003 2595
+12122 4 2 0 1 984 888 857 2129
+12123 4 2 0 1 1075 2581 2095 2582
+12124 4 2 0 1 529 634 646 2169
+12125 4 2 0 1 1577 2312 2058 2748
+12126 4 2 0 1 2054 2488 1723 2626
+12127 4 2 0 1 2119 2384 1711 2769
+12128 4 2 0 1 375 319 345 2468
+12129 4 2 0 1 355 358 178 2679
+12130 4 2 0 1 1370 2475 1323 2484
+12131 4 2 0 1 1750 2348 2258 2398
+12132 4 2 0 1 1939 2134 1594 2607
+12133 4 2 0 1 1153 1127 1145 1994
+12134 4 2 0 1 490 1983 304 2691
+12135 4 2 0 1 1597 2401 1856 2688
+12136 4 2 0 1 1679 2454 2011 2746
+12137 4 2 0 1 1274 1281 2303 2586
+12138 4 2 0 1 770 816 827 2638
+12139 4 2 0 1 346 210 1978 2556
+12140 4 2 0 1 1688 2346 2140 2619
+12141 4 2 0 1 892 1946 982 2477
+12142 4 2 0 1 920 287 479 2803
+12143 4 2 0 1 1674 2277 1955 2732
+12144 4 2 0 1 744 820 716 2379
+12145 4 2 0 1 1148 2522 2733 2777
+12146 4 2 0 1 1282 2563 2229 2582
+12147 4 2 0 1 810 761 1957 2451
+12148 4 2 0 1 1693 2372 2079 2577
+12149 4 2 0 1 2133 2531 1302 2668
+12150 4 2 0 1 1909 2442 1840 2551
+12151 4 2 0 1 1051 1063 1156 2422
+12152 4 2 0 1 874 915 948 2233
+12153 4 2 0 1 499 1965 420 2438
+12154 4 2 0 1 494 229 371 2395
+12155 4 2 0 1 1767 2333 1879 2574
+12156 4 2 0 1 1586 1988 2300 2388
+12157 4 2 0 1 1542 2372 1830 2693
+12158 4 2 0 1 1709 1888 2369 2774
+12159 4 2 0 1 1534 2221 1814 2700
+12160 4 2 0 1 1675 2242 2052 2750
+12161 4 2 0 1 503 905 998 2477
+12162 4 2 0 1 1105 2064 1044 2416
+12163 4 2 0 1 1858 1626 2265 2347
+12164 4 2 0 1 2188 2537 1827 2700
+12165 4 2 0 1 248 2539 1996 2639
+12166 4 2 0 1 1599 2048 1999 2486
+12167 4 2 0 1 228 2457 1905 2645
+12168 4 2 0 1 1757 2363 2089 2426
+12169 4 2 0 1 1341 1362 1992 2337
+12170 4 2 0 1 1128 1159 1173 2140
+12171 4 2 0 1 401 221 343 2464
+12172 4 2 0 1 489 2422 2626 2818
+12173 4 2 0 1 1966 2466 1851 2633
+12174 4 2 0 1 1775 2384 1863 2565
+12175 4 2 0 1 1941 2402 1784 2418
+12176 4 2 0 1 1635 1852 2460 2566
+12177 4 2 0 1 952 901 865 2715
+12178 4 2 0 1 733 2045 823 2253
+12179 4 2 0 1 1808 2299 1628 2592
+12180 4 2 0 1 1696 2177 2361 2742
+12181 4 2 0 1 1932 2309 1835 2449
+12182 4 2 0 1 1242 1352 1489 2094
+12183 4 2 0 1 1779 2808 2164 2809
+12184 4 2 0 1 1258 1391 2326 2825
+12185 4 2 0 1 1015 858 2248 2588
+12186 4 2 0 1 1295 2056 1293 2785
+12187 4 2 0 1 1545 2052 2376 2676
+12188 4 2 0 1 1238 1386 2008 2711
+12189 4 2 0 1 702 768 2529 2690
+12190 4 2 0 1 1610 1839 2363 2439
+12191 4 2 0 1 1677 2745 1841 2761
+12192 4 2 0 1 1761 2612 1875 2689
+12193 4 2 0 1 1857 1679 2284 2712
+12194 4 2 0 1 1544 2625 2226 2833
+12195 4 2 0 1 1151 2035 161 2416
+12196 4 2 0 1 1123 1846 1092 2491
+12197 4 2 0 1 1851 2423 2466 2836
+12198 4 2 0 1 997 906 1485 2184
+12199 4 2 0 1 351 443 188 2333
+12200 4 2 0 1 1707 2146 2625 2833
+12201 4 2 0 1 1612 2016 2370 2429
+12202 4 2 0 1 1675 2271 2065 2401
+12203 4 2 0 1 1584 2216 2019 2549
+12204 4 2 0 1 1648 2253 2649 2717
+12205 4 2 0 1 816 2425 827 2638
+12206 4 2 0 1 1397 1385 1425 2148
+12207 4 2 0 1 215 445 411 2366
+12208 4 2 0 1 1773 2214 1928 2440
+12209 4 2 0 1 1398 1984 1504 2419
+12210 4 2 0 1 320 2020 329 2399
+12211 4 2 0 1 1562 2595 1815 2745
+12212 4 2 0 1 810 766 694 2307
+12213 4 2 0 1 534 572 564 2344
+12214 4 2 0 1 924 989 1016 2125
+12215 4 2 0 1 318 1902 412 2641
+12216 4 2 0 1 1238 2008 1418 2711
+12217 4 2 0 1 1404 2007 1243 2767
+12218 4 2 0 1 634 636 646 2766
+12219 4 2 0 1 1905 2397 394 2815
+12220 4 2 0 1 2226 2625 1837 2833
+12221 4 2 0 1 762 725 824 2451
+12222 4 2 0 1 1845 2180 1573 2759
+12223 4 2 0 1 1110 2346 1914 2696
+12224 4 2 0 1 2002 2407 312 2741
+12225 4 2 0 1 1779 2398 2258 2808
+12226 4 2 0 1 2309 2449 1932 2623
+12227 4 2 0 1 614 638 550 2400
+12228 4 2 0 1 2169 2236 1841 2728
+12229 4 2 0 1 890 951 2101 2494
+12230 4 2 0 1 1343 1346 1834 2737
+12231 4 2 0 1 985 993 967 2057
+12232 4 2 0 1 1615 2421 1894 2695
+12233 4 2 0 1 1693 2174 1854 2598
+12234 4 2 0 1 682 145 146 2497
+12235 4 2 0 1 463 1977 239 2567
+12236 4 2 0 1 1531 1940 2003 2604
+12237 4 2 0 1 1522 1492 139 2264
+12238 4 2 0 1 1600 1843 2292 2492
+12239 4 2 0 1 230 262 511 2685
+12240 4 2 0 1 1614 2416 2035 2537
+12241 4 2 0 1 1640 2335 2218 2681
+12242 4 2 0 1 1591 2134 1939 2607
+12243 4 2 0 1 1443 1199 1509 2435
+12244 4 2 0 1 997 1485 1507 2184
+12245 4 2 0 1 508 2635 336 2714
+12246 4 2 0 1 1336 1362 1192 2337
+12247 4 2 0 1 1535 2203 2089 2304
+12248 4 2 0 1 1016 876 870 1907
+12249 4 2 0 1 891 956 902 2561
+12250 4 2 0 1 241 455 397 2554
+12251 4 2 0 1 2164 2808 1739 2809
+12252 4 2 0 1 1546 2389 2023 2444
+12253 4 2 0 1 1246 1454 1276 2205
+12254 4 2 0 1 1591 2123 1895 2832
+12255 4 2 0 1 1748 2254 1872 2591
+12256 4 2 0 1 140 198 487 2277
+12257 4 2 0 1 368 382 344 2448
+12258 4 2 0 1 1607 1984 2500 2686
+12259 4 2 0 1 2021 1576 2474 2640
+12260 4 2 0 1 1935 2001 1672 2285
+12261 4 2 0 1 1547 2250 1968 2790
+12262 4 2 0 1 1613 2373 2110 2633
+12263 4 2 0 1 667 148 1480 2131
+12264 4 2 0 1 1156 268 131 2128
+12265 4 2 0 1 925 969 871 1931
+12266 4 2 0 1 2152 2592 1889 2644
+12267 4 2 0 1 1562 2141 2314 2728
+12268 4 2 0 1 1638 1885 2234 2325
+12269 4 2 0 1 623 1884 2530 2658
+12270 4 2 0 1 2109 2331 1643 2523
+12271 4 2 0 1 844 2338 721 2692
+12272 4 2 0 1 1789 2601 2228 2621
+12273 4 2 0 1 296 1896 2222 2624
+12274 4 2 0 1 1036 1176 1149 1870
+12275 4 2 0 1 1534 1814 2673 2700
+12276 4 2 0 1 1026 1108 1073 2095
+12277 4 2 0 1 1603 1927 2049 2394
+12278 4 2 0 1 2251 2421 1894 2492
+12279 4 2 0 1 1557 2218 1910 2681
+12280 4 2 0 1 213 222 2020 2438
+12281 4 2 0 1 1601 1941 2402 2480
+12282 4 2 0 1 1863 2564 1658 2565
+12283 4 2 0 1 1682 1969 2437 2807
+12284 4 2 0 1 1567 1891 2433 2706
+12285 4 2 0 1 1883 1539 2232 2648
+12286 4 2 0 1 1743 2136 1858 2729
+12287 4 2 0 1 2128 2350 1990 2830
+12288 4 2 0 1 901 957 893 2137
+12289 4 2 0 1 1850 2323 2159 2528
+12290 4 2 0 1 1209 1379 1372 2493
+12291 4 2 0 1 1674 1881 2508 2732
+12292 4 2 0 1 2019 2216 1698 2549
+12293 4 2 0 1 1885 2325 1219 2711
+12294 4 2 0 1 343 339 176 2268
+12295 4 2 0 1 633 676 641 2321
+12296 4 2 0 1 463 436 239 1977
+12297 4 2 0 1 546 665 2053 2725
+12298 4 2 0 1 1596 2128 1990 2606
+12299 4 2 0 1 474 2297 492 2694
+12300 4 2 0 1 1014 935 884 2461
+12301 4 2 0 1 1498 959 923 1390
+12302 4 2 0 1 1536 2010 2452 2723
+12303 4 2 0 1 145 2425 146 2497
+12304 4 2 0 1 427 375 407 2468
+12305 4 2 0 1 1543 2040 2535 2757
+12306 4 2 0 1 996 502 158 2049
+12307 4 2 0 1 1666 2142 1878 2356
+12308 4 2 0 1 657 651 665 2812
+12309 4 2 0 1 2036 2475 1788 2811
+12310 4 2 0 1 1709 2004 2029 2519
+12311 4 2 0 1 239 436 245 1977
+12312 4 2 0 1 267 449 250 1952
+12313 4 2 0 1 251 2107 477 2612
+12314 4 2 0 1 1636 2381 2703 2704
+12315 4 2 0 1 1347 1340 1327 1954
+12316 4 2 0 1 1693 2213 2014 2598
+12317 4 2 0 1 916 970 1007 2107
+12318 4 2 0 1 616 677 632 2281
+12319 4 2 0 1 2051 2361 1764 2754
+12320 4 2 0 1 1275 2557 1503 2615
+12321 4 2 0 1 1860 2375 2079 2649
+12322 4 2 0 1 1905 2645 2017 2815
+12323 4 2 0 1 1209 1314 1296 2302
+12324 4 2 0 1 1606 1978 1913 2559
+12325 4 2 0 1 172 198 2456 2457
+12326 4 2 0 1 1730 2198 2215 2463
+12327 4 2 0 1 2031 2364 1682 2807
+12328 4 2 0 1 468 2068 425 2404
+12329 4 2 0 1 945 2523 953 2637
+12330 4 2 0 1 1426 1893 2751 2770
+12331 4 2 0 1 1236 2289 1254 2551
+12332 4 2 0 1 455 397 2554 2791
+12333 4 2 0 1 1812 2558 2105 2708
+12334 4 2 0 1 1606 2228 2040 2541
+12335 4 2 0 1 2245 2340 1717 2739
+12336 4 2 0 1 1253 1426 1401 1893
+12337 4 2 0 1 1595 2343 2258 2808
+12338 4 2 0 1 2023 2317 1895 2679
+12339 4 2 0 1 1372 1379 1442 2493
+12340 4 2 0 1 1977 2445 245 2539
+12341 4 2 0 1 962 961 1015 2248
+12342 4 2 0 1 1152 1094 2060 2410
+12343 4 2 0 1 269 422 2217 2277
+12344 4 2 0 1 1862 2331 1643 2426
+12345 4 2 0 1 1686 2412 2336 2448
+12346 4 2 0 1 1536 2010 2427 2452
+12347 4 2 0 1 191 793 2144 2498
+12348 4 2 0 1 1555 2329 2014 2598
+12349 4 2 0 1 751 2068 807 2501
+12350 4 2 0 1 2064 2274 1095 2416
+12351 4 2 0 1 2021 2229 1576 2640
+12352 4 2 0 1 1687 2542 2514 2576
+12353 4 2 0 1 305 389 490 1918
+12354 4 2 0 1 1224 973 889 2715
+12355 4 2 0 1 1104 1842 1165 2733
+12356 4 2 0 1 404 2405 2424 2556
+12357 4 2 0 1 1338 1388 1317 2018
+12358 4 2 0 1 1340 1327 1954 2579
+12359 4 2 0 1 1573 2122 1899 2630
+12360 4 2 0 1 1824 2493 2381 2704
+12361 4 2 0 1 1672 2285 2102 2411
+12362 4 2 0 1 1884 2124 1578 2450
+12363 4 2 0 1 2427 2452 2313 2723
+12364 4 2 0 1 1397 2275 2148 2770
+12365 4 2 0 1 1431 645 561 2132
+12366 4 2 0 1 1632 2273 2056 2785
+12367 4 2 0 1 1810 2529 1580 2718
+12368 4 2 0 1 941 2251 882 2495
+12369 4 2 0 1 1633 2245 1893 2550
+12370 4 2 0 1 1650 2443 2377 2837
+12371 4 2 0 1 1896 2269 308 2795
+12372 4 2 0 1 1578 2345 1884 2450
+12373 4 2 0 1 1592 1841 2314 2321
+12374 4 2 0 1 755 789 793 2144
+12375 4 2 0 1 1111 1098 2054 2488
+12376 4 2 0 1 262 444 466 2685
+12377 4 2 0 1 1645 2386 2181 2549
+12378 4 2 0 1 1618 2010 2272 2697
+12379 4 2 0 1 1278 1196 1287 2785
+12380 4 2 0 1 1705 2627 2226 2833
+12381 4 2 0 1 1857 2284 1679 2453
+12382 4 2 0 1 1854 2729 2598 2787
+12383 4 2 0 1 305 2571 1918 2691
+12384 4 2 0 1 798 693 799 1942
+12385 4 2 0 1 1517 2026 1468 2724
+12386 4 2 0 1 1614 2064 2719 2814
+12387 4 2 0 1 2008 2711 1642 2801
+12388 4 2 0 1 2088 2164 1879 2676
+12389 4 2 0 1 1093 1090 2043 2518
+12390 4 2 0 1 594 1845 672 2672
+12391 4 2 0 1 1449 1935 2247 2825
+12392 4 2 0 1 1140 1128 1173 2274
+12393 4 2 0 1 1829 2268 1789 2357
+12394 4 2 0 1 1527 2116 2651 2798
+12395 4 2 0 1 2480 2673 1814 2839
+12396 4 2 0 1 1224 1511 1473 973
+12397 4 2 0 1 1859 2639 183 2647
+12398 4 2 0 1 1035 2170 1107 2642
+12399 4 2 0 1 1333 1214 1303 1857
+12400 4 2 0 1 1656 2187 2151 2648
+12401 4 2 0 1 992 2035 981 2734
+12402 4 2 0 1 794 1201 790 2171
+12403 4 2 0 1 1328 1231 1330 2194
+12404 4 2 0 1 651 1828 665 2812
+12405 4 2 0 1 2097 2319 2086 2821
+12406 4 2 0 1 930 974 964 2365
+12407 4 2 0 1 1869 2197 2250 2390
+12408 4 2 0 1 621 572 534 2344
+12409 4 2 0 1 1856 2688 2401 2809
+12410 4 2 0 1 1871 2343 2524 2808
+12411 4 2 0 1 698 1849 786 2692
+12412 4 2 0 1 488 478 442 1927
+12413 4 2 0 1 1597 2308 2150 2688
+12414 4 2 0 1 536 1884 623 2658
+12415 4 2 0 1 2065 1856 2271 2602
+12416 4 2 0 1 688 542 2246 2725
+12417 4 2 0 1 912 972 2514 2576
+12418 4 2 0 1 1073 1131 1914 2581
+12419 4 2 0 1 1886 2627 2226 2760
+12420 4 2 0 1 484 311 182 2211
+12421 4 2 0 1 1764 1974 2370 2835
+12422 4 2 0 1 1677 2344 2745 2761
+12423 4 2 0 1 1640 2108 2006 2681
+12424 4 2 0 1 1288 1199 1248 1976
+12425 4 2 0 1 1315 1944 2531 2720
+12426 4 2 0 1 1919 2134 1546 2389
+12427 4 2 0 1 1858 1626 2347 2608
+12428 4 2 0 1 1257 1430 1828 2812
+12429 4 2 0 1 512 489 2225 2626
+12430 4 2 0 1 422 2217 2277 2645
+12431 4 2 0 1 467 2144 468 2404
+12432 4 2 0 1 413 377 465 2106
+12433 4 2 0 1 1634 2323 1850 2528
+12434 4 2 0 1 1739 2311 2168 2527
+12435 4 2 0 1 1688 2043 2346 2810
+12436 4 2 0 1 319 1939 345 2468
+12437 4 2 0 1 690 2045 733 2378
+12438 4 2 0 1 323 344 1979 2448
+12439 4 2 0 1 1631 2156 2269 2795
+12440 4 2 0 1 1648 2161 1860 2649
+12441 4 2 0 1 1538 2285 1943 2411
+12442 4 2 0 1 208 295 447 2574
+12443 4 2 0 1 1095 2064 1044 2274
+12444 4 2 0 1 1630 1845 2139 2759
+12445 4 2 0 1 1579 2072 1886 2760
+12446 4 2 0 1 1629 2436 2106 2502
+12447 4 2 0 1 1774 2199 1804 2520
+12448 4 2 0 1 2121 2510 1712 2794
+12449 4 2 0 1 1830 1597 2308 2506
+12450 4 2 0 1 138 1053 1117 2179
+12451 4 2 0 1 770 714 854 2161
+12452 4 2 0 1 426 1809 247 2658
+12453 4 2 0 1 1243 1236 1378 2289
+12454 4 2 0 1 463 239 230 2567
+12455 4 2 0 1 1180 2021 1482 2229
+12456 4 2 0 1 2423 2758 2466 2836
+12457 4 2 0 1 1048 1017 2064 2543
+12458 4 2 0 1 1954 2104 1639 2579
+12459 4 2 0 1 1529 1945 2312 2774
+12460 4 2 0 1 2120 2377 1662 2705
+12461 4 2 0 1 1567 1948 2260 2706
+12462 4 2 0 1 1027 1089 1864 2642
+12463 4 2 0 1 1166 1172 2349 2564
+12464 4 2 0 1 229 1915 379 2791
+12465 4 2 0 1 1766 2180 1845 2759
+12466 4 2 0 1 1952 2209 1800 2793
+12467 4 2 0 1 731 792 723 2135
+12468 4 2 0 1 452 398 2084 2323
+12469 4 2 0 1 934 960 887 2259
+12470 4 2 0 1 1735 2250 2197 2500
+12471 4 2 0 1 1005 960 944 2382
+12472 4 2 0 1 425 2068 377 2404
+12473 4 2 0 1 1719 2275 2148 2767
+12474 4 2 0 1 1963 1717 2340 2739
+12475 4 2 0 1 1295 1293 1181 2785
+12476 4 2 0 1 547 619 588 2046
+12477 4 2 0 1 1906 1769 2608 2780
+12478 4 2 0 1 1047 1092 1101 2491
+12479 4 2 0 1 1735 2264 2179 2434
+12480 4 2 0 1 1664 2259 1873 2382
+12481 4 2 0 1 400 2196 1809 2661
+12482 4 2 0 1 260 2422 1070 2626
+12483 4 2 0 1 1330 1216 1347 2655
+12484 4 2 0 1 1674 2217 2017 2645
+12485 4 2 0 1 385 456 167 2159
+12486 4 2 0 1 1929 2394 1603 2561
+12487 4 2 0 1 1809 2530 1884 2658
+12488 4 2 0 1 486 189 279 2330
+12489 4 2 0 1 1232 1325 1333 2012
+12490 4 2 0 1 704 759 817 2099
+12491 4 2 0 1 1929 2416 1614 2709
+12492 4 2 0 1 1936 2099 1769 2608
+12493 4 2 0 1 1629 2074 1855 2772
+12494 4 2 0 1 338 2605 1997 2691
+12495 4 2 0 1 706 781 812 1936
+12496 4 2 0 1 1766 1845 2192 2759
+12497 4 2 0 1 1873 2421 2251 2492
+12498 4 2 0 1 1196 2178 2117 2730
+12499 4 2 0 1 2198 2342 1730 2724
+12500 4 2 0 1 2117 2223 1623 2730
+12501 4 2 0 1 1917 1551 2547 2611
+12502 4 2 0 1 1674 1955 2705 2732
+12503 4 2 0 1 1638 1857 2325 2515
+12504 4 2 0 1 2289 2609 1719 2767
+12505 4 2 0 1 1279 2299 2081 2499
+12506 4 2 0 1 1613 2466 2111 2566
+12507 4 2 0 1 1914 1576 2229 2640
+12508 4 2 0 1 633 2321 1868 2766
+12509 4 2 0 1 1884 2533 1809 2658
+12510 4 2 0 1 1536 2272 2010 2723
+12511 4 2 0 1 1418 1238 1389 2008
+12512 4 2 0 1 1854 2234 1998 2729
+12513 4 2 0 1 1122 1124 1134 2138
+12514 4 2 0 1 2086 2319 1875 2689
+12515 4 2 0 1 1745 2410 2060 2733
+12516 4 2 0 1 363 315 354 2123
+12517 4 2 0 1 641 619 547 2256
+12518 4 2 0 1 1262 1472 1250 2581
+12519 4 2 0 1 1543 2025 2075 2660
+12520 4 2 0 1 1714 2320 2105 2534
+12521 4 2 0 1 1595 2398 2348 2572
+12522 4 2 0 1 1213 2302 1926 2788
+12523 4 2 0 1 1546 2134 2023 2389
+12524 4 2 0 1 1699 2412 2336 2757
+12525 4 2 0 1 660 1912 616 2283
+12526 4 2 0 1 352 207 2130 2269
+12527 4 2 0 1 1680 2536 2753 2802
+12528 4 2 0 1 1702 2139 1899 2630
+12529 4 2 0 1 1664 2382 1873 2738
+12530 4 2 0 1 1148 1058 2522 2777
+12531 4 2 0 1 1535 2431 1862 2439
+12532 4 2 0 1 1946 2338 1643 2628
+12533 4 2 0 1 829 803 691 1890
+12534 4 2 0 1 1304 2133 1462 2302
+12535 4 2 0 1 1703 2466 1851 2758
+12536 4 2 0 1 1313 1302 2133 2531
+12537 4 2 0 1 1920 1564 2242 2701
+12538 4 2 0 1 1538 1844 2470 2703
+12539 4 2 0 1 1112 1049 1099 2804
+12540 4 2 0 1 1688 2346 2619 2810
+12541 4 2 0 1 755 2144 793 2498
+12542 4 2 0 1 1386 1191 2263 2711
+12543 4 2 0 1 974 962 964 2365
+12544 4 2 0 1 1034 2582 2095 2603
+12545 4 2 0 1 1565 1998 2234 2729
+12546 4 2 0 1 191 793 789 2144
+12547 4 2 0 1 1617 2175 1972 2282
+12548 4 2 0 1 169 338 1997 2691
+12549 4 2 0 1 1536 2427 2313 2723
+12550 4 2 0 1 1315 1320 1475 1944
+12551 4 2 0 1 1134 1093 2458 2518
+12552 4 2 0 1 604 541 554 2530
+12553 4 2 0 1 1992 2337 1620 2340
+12554 4 2 0 1 1138 1154 1080 1930
+12555 4 2 0 1 1536 2463 1866 2743
+12556 4 2 0 1 1654 2241 1872 2591
+12557 4 2 0 1 1568 2340 1963 2820
+12558 4 2 0 1 1085 1129 2170 2584
+12559 4 2 0 1 1736 2399 2020 2417
+12560 4 2 0 1 1506 1381 1516 2278
+12561 4 2 0 1 1135 1020 1120 2491
+12562 4 2 0 1 1612 2370 2033 2392
+12563 4 2 0 1 175 2066 403 2674
+12564 4 2 0 1 1909 2148 1719 2243
+12565 4 2 0 1 1342 1177 1306 2512
+12566 4 2 0 1 1687 2317 2023 2679
+12567 4 2 0 1 1712 2460 1852 2566
+12568 4 2 0 1 1701 2524 1871 2698
+12569 4 2 0 1 1609 1976 2195 2442
+12570 4 2 0 1 566 139 138 2419
+12571 4 2 0 1 2275 2318 1633 2550
+12572 4 2 0 1 2068 2144 1765 2404
+12573 4 2 0 1 975 860 960 2382
+12574 4 2 0 1 575 582 441 2456
+12575 4 2 0 1 834 195 277 2498
+12576 4 2 0 1 2062 2412 1686 2448
+12577 4 2 0 1 929 931 867 2073
+12578 4 2 0 1 1775 2075 2040 2535
+12579 4 2 0 1 458 1996 248 2674
+12580 4 2 0 1 739 735 1203 2135
+12581 4 2 0 1 1681 2424 2405 2556
+12582 4 2 0 1 243 2606 2173 2752
+12583 4 2 0 1 1959 2043 1688 2810
+12584 4 2 0 1 1105 2064 2416 2709
+12585 4 2 0 1 1311 1428 1223 1924
+12586 4 2 0 1 810 761 766 1957
+12587 4 2 0 1 1595 2112 2116 2798
+12588 4 2 0 1 1633 2550 2318 2739
+12589 4 2 0 1 1607 2500 2026 2686
+12590 4 2 0 1 1285 1293 1295 2056
+12591 4 2 0 1 1046 1131 1250 1914
+12592 4 2 0 1 2022 2223 1708 2730
+12593 4 2 0 1 1529 2006 2312 2656
+12594 4 2 0 1 1733 2446 2574 2676
+12595 4 2 0 1 1822 2436 1855 2772
+12596 4 2 0 1 675 662 549 2672
+12597 4 2 0 1 982 892 976 1946
+12598 4 2 0 1 1615 2636 2224 2738
+12599 4 2 0 1 196 280 527 2692
+12600 4 2 0 1 2065 2271 1856 2401
+12601 4 2 0 1 1821 1627 2475 2811
+12602 4 2 0 1 1337 1305 1177 2016
+12603 4 2 0 1 302 2262 494 2395
+12604 4 2 0 1 1076 1913 1130 2713
+12605 4 2 0 1 739 2135 1203 2722
+12606 4 2 0 1 1879 2574 2446 2676
+12607 4 2 0 1 290 498 293 2262
+12608 4 2 0 1 2014 2213 1743 2598
+12609 4 2 0 1 801 802 797 2028
+12610 4 2 0 1 191 246 281 2498
+12611 4 2 0 1 2042 1663 2342 2463
+12612 4 2 0 1 1333 1377 1214 2325
+12613 4 2 0 1 1798 2247 2007 2763
+12614 4 2 0 1 1172 1037 1154 2565
+12615 4 2 0 1 1529 2312 1925 2774
+12616 4 2 0 1 1366 1393 2381 2825
+12617 4 2 0 1 1038 1102 2202 2564
+12618 4 2 0 1 1772 2318 2275 2550
+12619 4 2 0 1 1849 698 2628 2692
+12620 4 2 0 1 422 2277 518 2645
+12621 4 2 0 1 1709 2369 2309 2799
+12622 4 2 0 1 1786 2753 2536 2802
+12623 4 2 0 1 1696 2184 2177 2742
+12624 4 2 0 1 2213 2577 2014 2717
+12625 4 2 0 1 227 457 407 2468
+12626 4 2 0 1 469 396 417 2662
+12627 4 2 0 1 1618 2246 1973 2367
+12628 4 2 0 1 928 965 983 2162
+12629 4 2 0 1 1605 2147 1915 2395
+12630 4 2 0 1 1630 2192 1845 2759
+12631 4 2 0 1 2400 2610 1809 2661
+12632 4 2 0 1 1107 1164 1089 1864
+12633 4 2 0 1 1023 2346 1110 2696
+12634 4 2 0 1 1740 2347 2099 2608
+12635 4 2 0 1 767 2375 711 2649
+12636 4 2 0 1 138 137 671 2179
+12637 4 2 0 1 1448 1386 1191 2263
+12638 4 2 0 1 1955 2277 1674 2457
+12639 4 2 0 1 2193 1704 2313 2678
+12640 4 2 0 1 319 2468 375 2571
+12641 4 2 0 1 1704 2193 2141 2823
+12642 4 2 0 1 1662 2377 2100 2443
+12643 4 2 0 1 1693 2014 2213 2577
+12644 4 2 0 1 1816 2332 1629 2502
+12645 4 2 0 1 2258 2398 1779 2688
+12646 4 2 0 1 598 596 683 1973
+12647 4 2 0 1 2361 2392 1764 2754
+12648 4 2 0 1 714 2161 718 2555
+12649 4 2 0 1 1517 1184 2342 2724
+12650 4 2 0 1 1640 2006 2244 2335
+12651 4 2 0 1 440 232 439 2819
+12652 4 2 0 1 2036 2454 1679 2746
+12653 4 2 0 1 299 183 310 2647
+12654 4 2 0 1 1862 2331 1559 2793
+12655 4 2 0 1 350 509 239 2153
+12656 4 2 0 1 333 356 2207 2399
+12657 4 2 0 1 1354 1355 1368 2507
+12658 4 2 0 1 1689 2348 2112 2652
+12659 4 2 0 1 2078 2703 1678 2704
+12660 4 2 0 1 2398 2527 1683 2798
+12661 4 2 0 1 1819 2709 2394 2764
+12662 4 2 0 1 2226 2479 1741 2800
+12663 4 2 0 1 2165 2670 1771 2742
+12664 4 2 0 1 1595 2116 2524 2808
+12665 4 2 0 1 614 599 638 1948
+12666 4 2 0 1 1294 2379 1470 2485
+12667 4 2 0 1 920 2107 287 2803
+12668 4 2 0 1 1851 2466 2423 2758
+12669 4 2 0 1 1297 1349 1214 2044
+12670 4 2 0 1 577 1990 564 2830
+12671 4 2 0 1 2232 2552 1883 2648
+12672 4 2 0 1 2162 2279 1751 2636
+12673 4 2 0 1 1837 2740 1755 2781
+12674 4 2 0 1 2160 2385 1610 2731
+12675 4 2 0 1 772 711 700 2375
+12676 4 2 0 1 552 2344 621 2761
+12677 4 2 0 1 1829 2357 1789 2613
+12678 4 2 0 1 420 1861 462 2438
+12679 4 2 0 1 564 2344 625 2350
+12680 4 2 0 1 1562 2175 2141 2728
+12681 4 2 0 1 1967 2606 243 2752
+12682 4 2 0 1 535 558 579 1984
+12683 4 2 0 1 901 944 898 2070
+12684 4 2 0 1 1717 1928 2214 2820
+12685 4 2 0 1 2150 2308 1597 2506
+12686 4 2 0 1 321 2130 316 2601
+12687 4 2 0 1 1225 1358 1331 2076
+12688 4 2 0 1 1410 1412 1230 2091
+12689 4 2 0 1 1370 1215 1323 2475
+12690 4 2 0 1 1914 1576 2095 2229
+12691 4 2 0 1 708 754 2171 2596
+12692 4 2 0 1 917 923 878 2241
+12693 4 2 0 1 846 269 736 2277
+12694 4 2 0 1 1918 1722 2517 2691
+12695 4 2 0 1 1316 1186 2094 2740
+12696 4 2 0 1 1303 2284 1857 2453
+12697 4 2 0 1 1888 2166 2103 2369
+12698 4 2 0 1 912 2514 918 2576
+12699 4 2 0 1 600 655 2192 2663
+12700 4 2 0 1 2452 2473 2122 2723
+12701 4 2 0 1 809 848 811 1855
+12702 4 2 0 1 1308 1188 1319 2324
+12703 4 2 0 1 341 1978 210 2601
+12704 4 2 0 1 452 2084 409 2574
+12705 4 2 0 1 707 751 807 2501
+12706 4 2 0 1 185 642 189 2330
+12707 4 2 0 1 1578 1950 2450 2727
+12708 4 2 0 1 1375 1330 1231 2194
+12709 4 2 0 1 445 215 362 1847
+12710 4 2 0 1 1959 2518 1710 2828
+12711 4 2 0 1 1983 2605 304 2691
+12712 4 2 0 1 2034 2307 1621 2451
+12713 4 2 0 1 1066 1508 1157 2278
+12714 4 2 0 1 1048 2064 1105 2543
+12715 4 2 0 1 1731 2499 2374 2720
+12716 4 2 0 1 215 378 362 1847
+12717 4 2 0 1 376 2539 248 2639
+12718 4 2 0 1 1107 1864 1089 2642
+12719 4 2 0 1 1190 2171 1276 2513
+12720 4 2 0 1 596 688 542 2246
+12721 4 2 0 1 1269 1512 1251 2822
+12722 4 2 0 1 611 2281 555 2294
+12723 4 2 0 1 744 781 746 2379
+12724 4 2 0 1 2021 2387 1705 2755
+12725 4 2 0 1 1863 1575 2570 2817
+12726 4 2 0 1 1868 2256 1592 2321
+12727 4 2 0 1 2063 2386 1645 2549
+12728 4 2 0 1 1844 1636 2470 2703
+12729 4 2 0 1 1209 2381 1379 2493
+12730 4 2 0 1 298 1982 209 2446
+12731 4 2 0 1 1577 2004 2312 2748
+12732 4 2 0 1 1908 1622 2358 2485
+12733 4 2 0 1 1835 1695 2449 2799
+12734 4 2 0 1 1674 2508 1881 2773
+12735 4 2 0 1 1695 1997 2449 2568
+12736 4 2 0 1 1292 2563 1282 2582
+12737 4 2 0 1 934 2259 992 2734
+12738 4 2 0 1 2117 2551 1623 2617
+12739 4 2 0 1 1193 1441 1239 2322
+12740 4 2 0 1 1667 1832 2248 2588
+12741 4 2 0 1 734 844 721 2692
+12742 4 2 0 1 1177 1922 1297 2512
+12743 4 2 0 1 1480 148 1488 2131
+12744 4 2 0 1 1755 2740 2420 2781
+12745 4 2 0 1 1196 1268 2178 2730
+12746 4 2 0 1 1855 2074 1581 2772
+12747 4 2 0 1 494 2262 498 2355
+12748 4 2 0 1 385 456 2159 2407
+12749 4 2 0 1 1818 1683 2295 2798
+12750 4 2 0 1 2168 2296 1777 2813
+12751 4 2 0 1 1527 2295 2527 2798
+12752 4 2 0 1 1903 2157 1697 2657
+12753 4 2 0 1 1640 2218 2108 2681
+12754 4 2 0 1 2101 2251 1600 2495
+12755 4 2 0 1 1926 2102 1678 2765
+12756 4 2 0 1 1756 1964 2315 2792
+12757 4 2 0 1 1196 2178 1287 2785
+12758 4 2 0 1 864 891 902 2495
+12759 4 2 0 1 1527 2296 2168 2813
+12760 4 2 0 1 474 243 1967 2606
+12761 4 2 0 1 1201 1264 1276 2171
+12762 4 2 0 1 327 288 289 2157
+12763 4 2 0 1 378 421 362 2464
+12764 4 2 0 1 1586 1988 2290 2806
+12765 4 2 0 1 803 1890 829 2684
+12766 4 2 0 1 1137 1123 1055 2570
+12767 4 2 0 1 1325 1232 1411 2012
+12768 4 2 0 1 1245 1321 1178 2455
+12769 4 2 0 1 361 2614 206 2669
+12770 4 2 0 1 1688 2043 1959 2458
+12771 4 2 0 1 1779 2398 2808 2809
+12772 4 2 0 1 873 2155 1006 2542
+12773 4 2 0 1 653 144 145 2638
+12774 4 2 0 1 1559 2331 1862 2731
+12775 4 2 0 1 209 348 402 1982
+12776 4 2 0 1 872 878 967 2279
+12777 4 2 0 1 2128 2503 2422 2818
+12778 4 2 0 1 1443 2026 1517 2507
+12779 4 2 0 1 2673 2700 1814 2839
+12780 4 2 0 1 1680 2536 1934 2753
+12781 4 2 0 1 656 646 605 2169
+12782 4 2 0 1 2328 2533 1655 2819
+12783 4 2 0 1 663 652 135 1972
+12784 4 2 0 1 1927 1603 2049 2464
+12785 4 2 0 1 1108 1026 1090 2043
+12786 4 2 0 1 349 323 1979 2559
+12787 4 2 0 1 1536 1866 2427 2743
+12788 4 2 0 1 474 1967 255 2297
+12789 4 2 0 1 739 1203 1524 2722
+12790 4 2 0 1 1141 1094 2410 2733
+12791 4 2 0 1 1679 1865 2454 2712
+12792 4 2 0 1 1482 2021 1255 2640
+12793 4 2 0 1 749 821 743 1993
+12794 4 2 0 1 1674 1905 2457 2645
+12795 4 2 0 1 1759 2266 2065 2471
+12796 4 2 0 1 1258 1391 1445 2326
+12797 4 2 0 1 1054 1023 1066 2696
+12798 4 2 0 1 513 519 2157 2355
+12799 4 2 0 1 978 2327 994 2803
+12800 4 2 0 1 209 298 348 1982
+12801 4 2 0 1 1127 1036 1032 2255
+12802 4 2 0 1 2229 2563 1661 2582
+12803 4 2 0 1 744 700 781 2041
+12804 4 2 0 1 1613 2466 1966 2633
+12805 4 2 0 1 1887 1666 2386 2600
+12806 4 2 0 1 411 434 2101 2494
+12807 4 2 0 1 1807 2318 2550 2739
+12808 4 2 0 1 160 161 896 1929
+12809 4 2 0 1 429 2606 2128 2818
+12810 4 2 0 1 1269 1251 2051 2822
+12811 4 2 0 1 247 426 400 1809
+12812 4 2 0 1 760 809 811 1855
+12813 4 2 0 1 1638 2325 2234 2515
+12814 4 2 0 1 1527 2527 2116 2798
+12815 4 2 0 1 2120 2705 1955 2732
+12816 4 2 0 1 1959 2138 1746 2458
+12817 4 2 0 1 2132 2393 1758 2469
+12818 4 2 0 1 327 312 2407 2741
+12819 4 2 0 1 1406 1392 1924 2358
+12820 4 2 0 1 1175 2138 1086 2518
+12821 4 2 0 1 1688 2619 2182 2810
+12822 4 2 0 1 369 355 178 2679
+12823 4 2 0 1 1752 2532 2702 2816
+12824 4 2 0 1 1186 2620 2094 2740
+12825 4 2 0 1 1912 2235 1627 2371
+12826 4 2 0 1 1027 1864 2406 2642
+12827 4 2 0 1 436 245 1977 2445
+12828 4 2 0 1 207 294 316 2624
+12829 4 2 0 1 1704 2452 2122 2723
+12830 4 2 0 1 1680 2154 2450 2802
+12831 4 2 0 1 1449 1226 1935 2825
+12832 4 2 0 1 2006 2108 1640 2548
+12833 4 2 0 1 1138 1172 1154 1930
+12834 4 2 0 1 1655 2328 2196 2533
+12835 4 2 0 1 2010 2452 2272 2473
+12836 4 2 0 1 1606 1979 2535 2757
+12837 4 2 0 1 1581 2378 1855 2772
+12838 4 2 0 1 2252 2440 1928 2820
+12839 4 2 0 1 2024 2235 1627 2305
+12840 4 2 0 1 302 392 293 2262
+12841 4 2 0 1 1098 1072 1050 2054
+12842 4 2 0 1 1282 2229 1472 2581
+12843 4 2 0 1 2065 2306 1856 2602
+12844 4 2 0 1 1724 1889 2589 2644
+12845 4 2 0 1 901 2137 865 2715
+12846 4 2 0 1 458 1996 2674 2744
+12847 4 2 0 1 653 2212 144 2638
+12848 4 2 0 1 2095 2581 2229 2582
+12849 4 2 0 1 1679 1857 2521 2712
+12850 4 2 0 1 874 2233 948 2553
+12851 4 2 0 1 696 2217 2508 2732
+12852 4 2 0 1 1632 2117 2178 2223
+12853 4 2 0 1 491 291 292 2298
+12854 4 2 0 1 1682 2437 2031 2807
+12855 4 2 0 1 352 308 207 2269
+12856 4 2 0 1 552 612 2344 2761
+12857 4 2 0 1 1668 2481 1899 2580
+12858 4 2 0 1 1536 2215 2010 2272
+12859 4 2 0 1 314 394 2397 2815
+12860 4 2 0 1 2336 2622 2025 2792
+12861 4 2 0 1 1862 2331 1610 2731
+12862 4 2 0 1 1459 1481 2081 2775
+12863 4 2 0 1 1529 2312 1945 2656
+12864 4 2 0 1 802 690 809 2028
+12865 4 2 0 1 926 1015 858 2248
+12866 4 2 0 1 1576 2474 2619 2810
+12867 4 2 0 1 2138 2191 1587 2584
+12868 4 2 0 1 1833 2653 2239 2750
+12869 4 2 0 1 602 598 683 2587
+12870 4 2 0 1 2267 2316 1752 2702
+12871 4 2 0 1 305 1918 490 2691
+12872 4 2 0 1 1735 2500 1984 2686
+12873 4 2 0 1 2348 2398 1750 2572
+12874 4 2 0 1 1082 1137 1019 2570
+12875 4 2 0 1 364 2641 414 2826
+12876 4 2 0 1 584 610 2530 2658
+12877 4 2 0 1 1616 1883 2552 2648
+12878 4 2 0 1 1630 2210 2154 2753
+12879 4 2 0 1 2107 2612 251 2803
+12880 4 2 0 1 1835 2449 2309 2799
+12881 4 2 0 1 1642 2234 1854 2787
+12882 4 2 0 1 2175 2282 1836 2790
+12883 4 2 0 1 315 212 313 2353
+12884 4 2 0 1 1818 1671 2651 2831
+12885 4 2 0 1 1135 1088 1055 1975
+12886 4 2 0 1 2247 2326 1391 2825
+12887 4 2 0 1 454 436 433 2445
+12888 4 2 0 1 2163 1690 2702 2816
+12889 4 2 0 1 1368 1443 1517 2507
+12890 4 2 0 1 1017 1122 1134 2458
+12891 4 2 0 1 747 745 2106 2436
+12892 4 2 0 1 306 324 204 2190
+12893 4 2 0 1 290 2062 498 2262
+12894 4 2 0 1 1535 2304 1892 2665
+12895 4 2 0 1 1038 2202 1126 2564
+12896 4 2 0 1 1581 2045 2378 2717
+12897 4 2 0 1 1680 2154 2433 2450
+12898 4 2 0 1 1048 1044 1105 2064
+12899 4 2 0 1 1260 2177 1512 2822
+12900 4 2 0 1 1890 2204 1621 2634
+12901 4 2 0 1 1315 2531 1376 2720
+12902 4 2 0 1 1315 1320 1944 2720
+12903 4 2 0 1 1145 1139 1153 1994
+12904 4 2 0 1 587 643 585 1937
+12905 4 2 0 1 1664 2221 2700 2738
+12906 4 2 0 1 411 2101 173 2317
+12907 4 2 0 1 1623 2181 1887 2629
+12908 4 2 0 1 1012 877 994 2155
+12909 4 2 0 1 1683 2306 1856 2398
+12910 4 2 0 1 1744 2402 1941 2480
+12911 4 2 0 1 657 665 1828 2812
+12912 4 2 0 1 1920 1634 2242 2699
+12913 4 2 0 1 1903 2157 2741 2779
+12914 4 2 0 1 1457 1824 2326 2751
+12915 4 2 0 1 1875 1594 2097 2468
+12916 4 2 0 1 1890 2634 2034 2684
+12917 4 2 0 1 1653 2272 1973 2587
+12918 4 2 0 1 1224 1382 1357 2715
+12919 4 2 0 1 1744 2411 2208 2794
+12920 4 2 0 1 482 158 502 2049
+12921 4 2 0 1 1712 2102 2460 2794
+12922 4 2 0 1 1548 2224 2096 2636
+12923 4 2 0 1 191 2144 246 2498
+12924 4 2 0 1 990 925 871 1931
+12925 4 2 0 1 425 234 175 2404
+12926 4 2 0 1 628 568 2345 2687
+12927 4 2 0 1 1183 1246 1933 2557
+12928 4 2 0 1 696 722 736 2217
+12929 4 2 0 1 1605 2575 2315 2797
+12930 4 2 0 1 1789 1978 2228 2601
+12931 4 2 0 1 483 448 265 2086
+12932 4 2 0 1 597 530 633 1868
+12933 4 2 0 1 2006 1673 2335 2681
+12934 4 2 0 1 1667 2428 1911 2650
+12935 4 2 0 1 1699 2412 2062 2448
+12936 4 2 0 1 1700 2481 1899 2618
+12937 4 2 0 1 1742 2026 2500 2686
+12938 4 2 0 1 900 953 892 2637
+12939 4 2 0 1 1176 1030 1084 2603
+12940 4 2 0 1 1257 1414 1200 2053
+12941 4 2 0 1 1941 2418 1784 2623
+12942 4 2 0 1 772 785 711 2375
+12943 4 2 0 1 1059 1110 1023 2346
+12944 4 2 0 1 1611 2271 1856 2602
+12945 4 2 0 1 615 583 2132 2393
+12946 4 2 0 1 1967 474 2606 2694
+12947 4 2 0 1 1903 2002 1695 2741
+12948 4 2 0 1 1716 2641 2490 2826
+12949 4 2 0 1 1928 2252 1598 2440
+12950 4 2 0 1 1704 2122 2059 2314
+12951 4 2 0 1 592 650 666 2359
+12952 4 2 0 1 810 2307 694 2451
+12953 4 2 0 1 1161 2191 1162 2384
+12954 4 2 0 1 331 2647 1996 2744
+12955 4 2 0 1 1613 1966 2466 2566
+12956 4 2 0 1 2122 2618 1899 2827
+12957 4 2 0 1 2317 2514 2101 2576
+12958 4 2 0 1 544 2069 593 2663
+12959 4 2 0 1 319 1939 2468 2571
+12960 4 2 0 1 173 972 271 2101
+12961 4 2 0 1 1175 1124 2138 2518
+12962 4 2 0 1 249 414 2821 2826
+12963 4 2 0 1 768 702 762 2034
+12964 4 2 0 1 1639 2042 2013 2579
+12965 4 2 0 1 1064 1025 1053 2339
+12966 4 2 0 1 1229 1413 1337 2667
+12967 4 2 0 1 993 2057 985 2462
+12968 4 2 0 1 2264 2434 1735 2435
+12969 4 2 0 1 1617 2282 1972 2410
+12970 4 2 0 1 1558 1881 2377 2643
+12971 4 2 0 1 2111 2121 1528 2510
+12972 4 2 0 1 1120 2491 2060 2733
+12973 4 2 0 1 213 395 222 2438
+12974 4 2 0 1 1432 1451 2513 2780
+12975 4 2 0 1 1577 2621 2130 2748
+12976 4 2 0 1 1253 1426 1893 2751
+12977 4 2 0 1 1075 2095 1034 2582
+12978 4 2 0 1 2113 2449 1550 2623
+12979 4 2 0 1 1148 1170 1058 2777
+12980 4 2 0 1 1523 1182 1493 2303
+12981 4 2 0 1 1729 2209 1946 2477
+12982 4 2 0 1 1664 2382 2070 2734
+12983 4 2 0 1 1015 961 858 2588
+12984 4 2 0 1 345 212 363 2489
+12985 4 2 0 1 1739 2808 2398 2809
+12986 4 2 0 1 1781 2299 2177 2592
+12987 4 2 0 1 1522 2264 139 2419
+12988 4 2 0 1 2125 2428 1566 2778
+12989 4 2 0 1 425 468 377 2068
+12990 4 2 0 1 1722 2353 2293 2568
+12991 4 2 0 1 1208 1394 1168 2582
+12992 4 2 0 1 1779 2688 2398 2809
+12993 4 2 0 1 999 899 894 2670
+12994 4 2 0 1 886 863 950 2081
+12995 4 2 0 1 1076 1130 1913 2405
+12996 4 2 0 1 134 133 569 1960
+12997 4 2 0 1 1960 1596 2478 2503
+12998 4 2 0 1 408 1915 494 2824
+12999 4 2 0 1 2086 1875 2612 2689
+13000 4 2 0 1 1099 2414 1043 2804
+13001 4 2 0 1 2449 2519 2309 2799
+13002 4 2 0 1 1659 1833 2653 2682
+13003 4 2 0 1 2010 1536 2427 2743
+13004 4 2 0 1 318 2409 365 2669
+13005 4 2 0 1 1883 2548 2126 2648
+13006 4 2 0 1 1229 1337 1237 2033
+13007 4 2 0 1 553 2197 2009 2408
+13008 4 2 0 1 1646 2339 2522 2804
+13009 4 2 0 1 1947 2156 1694 2683
+13010 4 2 0 1 1899 2481 1668 2618
+13011 4 2 0 1 1600 2251 1894 2492
+13012 4 2 0 1 2180 1973 2473 2697
+13013 4 2 0 1 1410 2091 1230 2721
+13014 4 2 0 1 390 188 2090 2333
+13015 4 2 0 1 2222 2741 2157 2779
+13016 4 2 0 1 2315 1848 2792 2797
+13017 4 2 0 1 248 1996 384 2639
+13018 4 2 0 1 1843 2292 2219 2832
+13019 4 2 0 1 1862 1610 2439 2731
+13020 4 2 0 1 1460 1518 1504 1984
+13021 4 2 0 1 2095 2582 1661 2603
+13022 4 2 0 1 1681 1864 2642 2768
+13023 4 2 0 1 360 411 369 2366
+13024 4 2 0 1 159 956 2049 2561
+13025 4 2 0 1 1693 2329 2174 2598
+13026 4 2 0 1 2145 2643 2577 2717
+13027 4 2 0 1 545 675 549 2569
+13028 4 2 0 1 1690 2316 2267 2702
+13029 4 2 0 1 492 2297 184 2694
+13030 4 2 0 1 941 946 887 2259
+13031 4 2 0 1 958 278 197 2576
+13032 4 2 0 1 2303 2339 1646 2716
+13033 4 2 0 1 782 718 2161 2555
+13034 4 2 0 1 938 882 2251 2495
+13035 4 2 0 1 1469 2146 1483 2620
+13036 4 2 0 1 1403 2201 1346 2737
+13037 4 2 0 1 1714 2105 2320 2510
+13038 4 2 0 1 1643 2331 1862 2793
+13039 4 2 0 1 1461 1395 2374 2499
+13040 4 2 0 1 1801 2647 1996 2671
+13041 4 2 0 1 1745 1869 2282 2777
+13042 4 2 0 1 1667 1911 2486 2650
+13043 4 2 0 1 283 1167 432 2713
+13044 4 2 0 1 890 972 173 2101
+13045 4 2 0 1 284 2338 511 2685
+13046 4 2 0 1 1829 2556 1681 2613
+13047 4 2 0 1 1044 2064 1095 2416
+13048 4 2 0 1 1881 2377 2120 2705
+13049 4 2 0 1 1169 1160 1019 2119
+13050 4 2 0 1 298 484 322 2211
+13051 4 2 0 1 2239 2653 1585 2750
+13052 4 2 0 1 1504 2419 1984 2686
+13053 4 2 0 1 2177 2299 1808 2592
+13054 4 2 0 1 323 199 344 2448
+13055 4 2 0 1 402 2328 1982 2819
+13056 4 2 0 1 1418 1885 1219 2711
+13057 4 2 0 1 265 251 477 2612
+13058 4 2 0 1 406 333 218 2472
+13059 4 2 0 1 596 2246 542 2367
+13060 4 2 0 1 427 2097 211 2571
+13061 4 2 0 1 1840 2551 2117 2617
+13062 4 2 0 1 2220 2743 1639 2782
+13063 4 2 0 1 1604 2235 1912 2371
+13064 4 2 0 1 623 2530 610 2658
+13065 4 2 0 1 258 452 409 2574
+13066 4 2 0 1 375 427 211 2571
+13067 4 2 0 1 234 403 175 2066
+13068 4 2 0 1 894 2184 157 2670
+13069 4 2 0 1 319 212 345 1939
+13070 4 2 0 1 1588 2200 1879 2632
+13071 4 2 0 1 1667 1898 2428 2650
+13072 4 2 0 1 1073 2095 1075 2581
+13073 4 2 0 1 917 2241 878 2591
+13074 4 2 0 1 1694 2156 2123 2683
+13075 4 2 0 1 2272 2473 2452 2723
+13076 4 2 0 1 856 762 702 2690
+13077 4 2 0 1 552 603 612 2761
+13078 4 2 0 1 2010 2743 1689 2782
+13079 4 2 0 1 1679 1857 2453 2521
+13080 4 2 0 1 1179 1365 1433 2275
+13081 4 2 0 1 345 2468 1939 2489
+13082 4 2 0 1 885 914 936 1961
+13083 4 2 0 1 1646 2195 1976 2303
+13084 4 2 0 1 1769 2379 1908 2780
+13085 4 2 0 1 1732 2156 2680 2795
+13086 4 2 0 1 348 402 1982 2819
+13087 4 2 0 1 2182 2719 1688 2810
+13088 4 2 0 1 1695 2222 2029 2779
+13089 4 2 0 1 2239 2653 1833 2682
+13090 4 2 0 1 1909 2243 1719 2629
+13091 4 2 0 1 2171 2513 1190 2631
+13092 4 2 0 1 2313 2452 1704 2723
+13093 4 2 0 1 1183 1246 1264 1933
+13094 4 2 0 1 1537 2181 2082 2629
+13095 4 2 0 1 1750 2306 2398 2688
+13096 4 2 0 1 274 276 521 1961
+13097 4 2 0 1 2385 2439 1610 2731
+13098 4 2 0 1 485 508 422 2217
+13099 4 2 0 1 1546 2134 1919 2483
+13100 4 2 0 1 1427 1241 1234 2358
+13101 4 2 0 1 1767 2376 2084 2676
+13102 4 2 0 1 1970 2270 1835 2364
+13103 4 2 0 1 1695 2779 2029 2799
+13104 4 2 0 1 449 250 1952 2821
+13105 4 2 0 1 1254 2117 2551 2730
+13106 4 2 0 1 917 943 911 2591
+13107 4 2 0 1 2111 2121 1712 2566
+13108 4 2 0 1 2272 2452 2010 2723
+13109 4 2 0 1 836 231 837 465
+13110 4 2 0 1 1213 1926 2667 2788
+13111 4 2 0 1 1502 1068 1064 2339
+13112 4 2 0 1 226 278 186 2327
+13113 4 2 0 1 2010 1618 2215 2782
+13114 4 2 0 1 2094 2387 1798 2760
+13115 4 2 0 1 614 590 584 2400
+13116 4 2 0 1 1689 2010 2427 2743
+13117 4 2 0 1 2177 2184 1781 2742
+13118 4 2 0 1 737 697 738 2666
+13119 4 2 0 1 1338 1195 1388 2374
+13120 4 2 0 1 582 470 480 2658
+13121 4 2 0 1 1814 2700 2221 2738
+13122 4 2 0 1 1549 2600 1887 2617
+13123 4 2 0 1 1237 1337 1383 2835
+13124 4 2 0 1 2059 2380 1644 2823
+13125 4 2 0 1 467 468 425 2404
+13126 4 2 0 1 598 1973 2587 2766
+13127 4 2 0 1 458 331 248 1996
+13128 4 2 0 1 1973 2272 1799 2587
+13129 4 2 0 1 1683 1856 2306 2602
+13130 4 2 0 1 1718 2635 2217 2714
+13131 4 2 0 1 861 2165 968 2589
+13132 4 2 0 1 894 906 997 2184
+13133 4 2 0 1 1650 1985 2239 2682
+13134 4 2 0 1 1536 2215 2198 2463
+13135 4 2 0 1 1809 2196 400 2533
+13136 4 2 0 1 703 777 743 2316
+13137 4 2 0 1 1045 2405 1096 2424
+13138 4 2 0 1 1463 1994 1181 2785
+13139 4 2 0 1 1853 2083 2578 2660
+13140 4 2 0 1 570 616 660 1912
+13141 4 2 0 1 2106 2436 745 2714
+13142 4 2 0 1 367 211 427 2097
+13143 4 2 0 1 696 722 2217 2732
+13144 4 2 0 1 425 377 234 2404
+13145 4 2 0 1 1459 2081 886 2775
+13146 4 2 0 1 304 2605 338 2691
+13147 4 2 0 1 1549 2195 1901 2716
+13148 4 2 0 1 489 194 506 2818
+13149 4 2 0 1 1612 2000 2392 2834
+13150 4 2 0 1 2154 2210 1916 2753
+13151 4 2 0 1 2247 2326 1636 2747
+13152 4 2 0 1 2044 2520 1774 2521
+13153 4 2 0 1 1754 1847 2495 2561
+13154 4 2 0 1 850 777 813 2316
+13155 4 2 0 1 1323 1326 1491 1995
+13156 4 2 0 1 2101 2317 1600 2514
+13157 4 2 0 1 143 841 144 2212
+13158 4 2 0 1 269 422 501 2217
+13159 4 2 0 1 1974 2370 1692 2754
+13160 4 2 0 1 1483 1469 1453 2146
+13161 4 2 0 1 226 472 430 2127
+13162 4 2 0 1 2168 2311 1527 2527
+13163 4 2 0 1 2295 2599 1717 2707
+13164 4 2 0 1 2141 2314 1653 2723
+13165 4 2 0 1 607 640 652 2390
+13166 4 2 0 1 1515 1502 1064 2339
+13167 4 2 0 1 1774 2455 2199 2520
+13168 4 2 0 1 2066 1629 2332 2341
+13169 4 2 0 1 1664 2700 2158 2738
+13170 4 2 0 1 1428 1406 1392 1924
+13171 4 2 0 1 1048 2064 1017 2458
+13172 4 2 0 1 1814 2158 2700 2738
+13173 4 2 0 1 2315 2575 1848 2797
+13174 4 2 0 1 1619 2237 1902 2490
+13175 4 2 0 1 1313 2133 1302 2668
+13176 4 2 0 1 1308 1299 1188 2036
+13177 4 2 0 1 1249 2485 1456 2666
+13178 4 2 0 1 171 277 433 1993
+13179 4 2 0 1 1070 2422 1050 2626
+13180 4 2 0 1 615 2393 551 2663
+13181 4 2 0 1 1698 2216 2151 2549
+13182 4 2 0 1 1875 2097 1594 2319
+13183 4 2 0 1 765 808 689 2555
+13184 4 2 0 1 1873 1615 2421 2492
+13185 4 2 0 1 1796 2213 2145 2577
+13186 4 2 0 1 629 147 2131 2497
+13187 4 2 0 1 1695 2298 1997 2568
+13188 4 2 0 1 1692 2370 1974 2783
+13189 4 2 0 1 1324 1319 1227 2324
+13190 4 2 0 1 1120 1047 2060 2491
+13191 4 2 0 1 592 679 514 2560
+13192 4 2 0 1 1871 2632 2164 2698
+13193 4 2 0 1 1703 2439 2385 2731
+13194 4 2 0 1 1779 2258 2343 2808
+13195 4 2 0 1 1703 2160 2048 2758
+13196 4 2 0 1 1051 2422 2128 2503
+13197 4 2 0 1 247 1809 2533 2658
+13198 4 2 0 1 1807 2413 2214 2739
+13199 4 2 0 1 1500 1261 1206 2586
+13200 4 2 0 1 1749 2322 1974 2615
+13201 4 2 0 1 382 170 223 2092
+13202 4 2 0 1 766 761 703 1957
+13203 4 2 0 1 2052 2653 1833 2750
+13204 4 2 0 1 1951 1576 2474 2552
+13205 4 2 0 1 1536 2452 2427 2723
+13206 4 2 0 1 191 789 468 2144
+13207 4 2 0 1 944 988 2070 2734
+13208 4 2 0 1 1764 2370 2033 2835
+13209 4 2 0 1 247 1809 400 2533
+13210 4 2 0 1 1302 2383 1339 2668
+13211 4 2 0 1 1792 2539 1996 2674
+13212 4 2 0 1 474 1967 2297 2694
+13213 4 2 0 1 538 553 605 2408
+13214 4 2 0 1 299 310 373 2005
+13215 4 2 0 1 1057 160 1113 2394
+13216 4 2 0 1 1481 1279 1459 2081
+13217 4 2 0 1 1909 2148 2243 2721
+13218 4 2 0 1 268 131 2128 2830
+13219 4 2 0 1 2175 1652 2282 2790
+13220 4 2 0 1 1827 2700 2227 2839
+13221 4 2 0 1 159 158 1142 2049
+13222 4 2 0 1 1539 2151 2022 2648
+13223 4 2 0 1 2394 2709 1929 2764
+13224 4 2 0 1 873 1003 877 2155
+13225 4 2 0 1 1896 2298 1732 2795
+13226 4 2 0 1 1051 132 1116 2503
+13227 4 2 0 1 1543 2535 2336 2757
+13228 4 2 0 1 570 629 573 2497
+13229 4 2 0 1 1671 2252 2313 2678
+13230 4 2 0 1 1123 1135 1055 1975
+13231 4 2 0 1 1732 2353 2298 2568
+13232 4 2 0 1 1636 2381 2001 2703
+13233 4 2 0 1 2141 2313 1704 2723
+13234 4 2 0 1 322 2211 314 2397
+13235 4 2 0 1 1345 1330 2194 2655
+13236 4 2 0 1 1024 1111 1050 2422
+13237 4 2 0 1 1753 2334 2373 2829
+13238 4 2 0 1 1536 1949 2272 2723
+13239 4 2 0 1 304 2605 1983 2614
+13240 4 2 0 1 947 1004 929 2280
+13241 4 2 0 1 287 251 479 2803
+13242 4 2 0 1 688 2246 548 2725
+13243 4 2 0 1 1443 2435 1509 2686
+13244 4 2 0 1 1783 2459 2210 2546
+13245 4 2 0 1 2021 2552 1708 2755
+13246 4 2 0 1 1515 1155 1492 2264
+13247 4 2 0 1 1317 1221 2531 2788
+13248 4 2 0 1 1001 989 2125 2562
+13249 4 2 0 1 486 184 2330 2694
+13250 4 2 0 1 532 647 635 1934
+13251 4 2 0 1 1956 1702 2546 2652
+13252 4 2 0 1 940 931 888 2129
+13253 4 2 0 1 1338 2667 2018 2788
+13254 4 2 0 1 1628 2233 2081 2499
+13255 4 2 0 1 1246 2205 1933 2557
+13256 4 2 0 1 2099 2347 1740 2677
+13257 4 2 0 1 535 571 622 2197
+13258 4 2 0 1 1004 2280 969 2588
+13259 4 2 0 1 1607 2197 2250 2500
+13260 4 2 0 1 2199 2455 1651 2520
+13261 4 2 0 1 1656 2578 2083 2726
+13262 4 2 0 1 458 331 1996 2744
+13263 4 2 0 1 1566 1911 2261 2778
+13264 4 2 0 1 1051 2128 132 2503
+13265 4 2 0 1 203 327 312 2407
+13266 4 2 0 1 1196 1268 1266 2178
+13267 4 2 0 1 384 1996 331 2647
+13268 4 2 0 1 1157 1508 1381 2278
+13269 4 2 0 1 544 551 2069 2663
+13270 4 2 0 1 1043 1842 1104 2804
+13271 4 2 0 1 1047 2060 1094 2733
+13272 4 2 0 1 672 681 673 2180
+13273 4 2 0 1 1971 2208 1744 2411
+13274 4 2 0 1 548 688 661 2246
+13275 4 2 0 1 1558 2377 1881 2773
+13276 4 2 0 1 1422 1236 1254 2551
+13277 4 2 0 1 707 2068 751 2501
+13278 4 2 0 1 1507 1520 1284 2184
+13279 4 2 0 1 601 619 676 2321
+13280 4 2 0 1 997 157 894 2184
+13281 4 2 0 1 308 296 207 2624
+13282 4 2 0 1 2182 2218 1640 2335
+13283 4 2 0 1 966 977 922 2695
+13284 4 2 0 1 591 1200 680 2053
+13285 4 2 0 1 2060 2410 1094 2733
+13286 4 2 0 1 1595 2258 2398 2808
+13287 4 2 0 1 496 2606 528 2830
+13288 4 2 0 1 1842 2522 1104 2804
+13289 4 2 0 1 2180 2473 1573 2697
+13290 4 2 0 1 1636 2001 2381 2825
+13291 4 2 0 1 1520 1260 1284 2822
+13292 4 2 0 1 1715 1960 2478 2503
+13293 4 2 0 1 1781 2592 2177 2742
+13294 4 2 0 1 2398 2572 1595 2798
+13295 4 2 0 1 816 847 853 2425
+13296 4 2 0 1 1840 2273 2117 2586
+13297 4 2 0 1 1589 2320 2510 2794
+13298 4 2 0 1 1104 1043 1165 1842
+13299 4 2 0 1 1160 1169 1161 2769
+13300 4 2 0 1 1614 2218 1910 2764
+13301 4 2 0 1 380 393 2017 2776
+13302 4 2 0 1 1449 1387 1226 2825
+13303 4 2 0 1 2130 2624 2062 2805
+13304 4 2 0 1 1494 1269 1244 2051
+13305 4 2 0 1 2413 2550 2245 2739
+13306 4 2 0 1 570 573 1912 2497
+13307 4 2 0 1 895 2162 859 2695
+13308 4 2 0 1 1056 2488 1062 2503
+13309 4 2 0 1 697 724 729 2087
+13310 4 2 0 1 575 536 582 2456
+13311 4 2 0 1 410 1967 243 2752
+13312 4 2 0 1 2164 2632 1602 2698
+13313 4 2 0 1 915 913 948 2233
+13314 4 2 0 1 1898 2650 1667 2771
+13315 4 2 0 1 2101 1847 2494 2495
+13316 4 2 0 1 1645 1853 2509 2646
+13317 4 2 0 1 974 857 962 2365
+13318 4 2 0 1 1695 2449 2519 2568
+13319 4 2 0 1 1779 2343 1871 2808
+13320 4 2 0 1 542 2367 2246 2725
+13321 4 2 0 1 1513 1522 1492 139
+13322 4 2 0 1 1945 2312 1673 2656
+13323 4 2 0 1 853 146 145 2425
+13324 4 2 0 1 365 509 2153 2409
+13325 4 2 0 1 1787 2339 2303 2716
+13326 4 2 0 1 1687 2444 1894 2542
+13327 4 2 0 1 1531 2368 1981 2505
+13328 4 2 0 1 875 2107 920 2803
+13329 4 2 0 1 260 1070 1050 2626
+13330 4 2 0 1 621 552 572 2344
+13331 4 2 0 1 1587 2108 2548 2828
+13332 4 2 0 1 1868 1653 2473 2766
+13333 4 2 0 1 1046 1073 1131 1914
+13334 4 2 0 1 361 205 340 2614
+13335 4 2 0 1 2017 2635 1816 2776
+13336 4 2 0 1 833 711 695 2649
+13337 4 2 0 1 1449 2247 1387 2825
+13338 4 2 0 1 1664 2188 2158 2700
+13339 4 2 0 1 1019 1055 1143 2119
+13340 4 2 0 1 1040 1100 2406 2543
+13341 4 2 0 1 2345 2536 1680 2802
+13342 4 2 0 1 981 992 162 2035
+13343 4 2 0 1 380 2017 485 2645
+13344 4 2 0 1 1944 2531 1731 2558
+13345 4 2 0 1 435 404 2405 2424
+13346 4 2 0 1 577 534 564 1990
+13347 4 2 0 1 397 177 2752 2791
+13348 4 2 0 1 460 426 493 2610
+13349 4 2 0 1 299 373 205 2005
+13350 4 2 0 1 1135 1975 1123 2491
+13351 4 2 0 1 2210 2459 1630 2546
+13352 4 2 0 1 563 574 536 2456
+13353 4 2 0 1 507 496 2128 2818
+13354 4 2 0 1 1967 2606 1990 2694
+13355 4 2 0 1 749 777 850 2498
+13356 4 2 0 1 1085 1129 1031 2170
+13357 4 2 0 1 938 2101 951 2495
+13358 4 2 0 1 928 895 975 2162
+13359 4 2 0 1 1711 2384 2119 2817
+13360 4 2 0 1 722 830 736 2277
+13361 4 2 0 1 1859 1665 2639 2671
+13362 4 2 0 1 1543 2075 2040 2578
+13363 4 2 0 1 859 2162 983 2695
+13364 4 2 0 1 1603 2394 1929 2764
+13365 4 2 0 1 1711 2114 2119 2769
+13366 4 2 0 1 82 1431 561 1423
+13367 4 2 0 1 1112 2339 1049 2804
+13368 4 2 0 1 381 333 356 2207
+13369 4 2 0 1 1738 2048 2758 2836
+13370 4 2 0 1 1640 1959 2719 2810
+13371 4 2 0 1 1873 1615 2492 2738
+13372 4 2 0 1 1603 2394 2049 2561
+13373 4 2 0 1 1709 1888 2300 2369
+13374 4 2 0 1 885 970 914 1961
+13375 4 2 0 1 1531 2063 2249 2505
+13376 4 2 0 1 1121 2138 1122 2584
+13377 4 2 0 1 494 498 519 2355
+13378 4 2 0 1 415 1861 469 2662
+13379 4 2 0 1 1097 1914 1046 2696
+13380 4 2 0 1 290 316 294 2062
+13381 4 2 0 1 1905 2124 2397 2727
+13382 4 2 0 1 1214 1351 1303 2453
+13383 4 2 0 1 567 600 655 2192
+13384 4 2 0 1 1473 987 973 2241
+13385 4 2 0 1 2479 2800 1728 2839
+13386 4 2 0 1 1992 2201 1620 2337
+13387 4 2 0 1 1668 2207 2481 2580
+13388 4 2 0 1 1012 954 1006 2327
+13389 4 2 0 1 548 2069 639 2725
+13390 4 2 0 1 2020 1736 2417 2756
+13391 4 2 0 1 1213 2667 1338 2788
+13392 4 2 0 1 2083 2216 1584 2549
+13393 4 2 0 1 1908 1555 2329 2736
+13394 4 2 0 1 788 2120 826 2732
+13395 4 2 0 1 1934 2536 1786 2753
+13396 4 2 0 1 1973 2473 1653 2766
+13397 4 2 0 1 1560 2245 2413 2550
+13398 4 2 0 1 1350 1265 1467 2631
+13399 4 2 0 1 533 2197 571 2390
+13400 4 2 0 1 430 226 2127 2679
+13401 4 2 0 1 1274 1281 1493 2303
+13402 4 2 0 1 1592 2059 2122 2314
+13403 4 2 0 1 1000 859 2562 2695
+13404 4 2 0 1 1642 1885 2234 2801
+13405 4 2 0 1 1449 1226 1316 1935
+13406 4 2 0 1 376 248 384 2639
+13407 4 2 0 1 1209 2001 1366 2381
+13408 4 2 0 1 390 475 188 2333
+13409 4 2 0 1 1697 2090 1969 2657
+13410 4 2 0 1 587 591 680 2053
+13411 4 2 0 1 410 474 243 1967
+13412 4 2 0 1 917 987 959 2241
+13413 4 2 0 1 1813 2417 2067 2580
+13414 4 2 0 1 511 284 280 2338
+13415 4 2 0 1 1716 1902 2490 2641
+13416 4 2 0 1 425 175 453 2404
+13417 4 2 0 1 1110 1097 1046 2696
+13418 4 2 0 1 449 2821 1952 2826
+13419 4 2 0 1 747 819 836 2106
+13420 4 2 0 1 2412 2792 1848 2797
+13421 4 2 0 1 1720 2029 2222 2779
+13422 4 2 0 1 417 390 2090 2657
+13423 4 2 0 1 1650 1985 2443 2837
+13424 4 2 0 1 1005 975 960 2382
+13425 4 2 0 1 2125 2248 1667 2778
+13426 4 2 0 1 1646 2716 2339 2804
+13427 4 2 0 1 1804 2257 2143 2520
+13428 4 2 0 1 2010 2496 1618 2782
+13429 4 2 0 1 1566 2428 1911 2778
+13430 4 2 0 1 1557 2108 2218 2681
+13431 4 2 0 1 1550 2449 2309 2623
+13432 4 2 0 1 1525 1203 1514 2135
+13433 4 2 0 1 445 1847 362 2494
+13434 4 2 0 1 560 656 556 2169
+13435 4 2 0 1 805 824 694 2307
+13436 4 2 0 1 1005 883 868 2287
+13437 4 2 0 1 1394 2581 1168 2582
+13438 4 2 0 1 1009 1000 859 2562
+13439 4 2 0 1 628 141 142 1955
+13440 4 2 0 1 994 978 1012 2327
+13441 4 2 0 1 443 351 372 2185
+13442 4 2 0 1 1614 1910 2172 2764
+13443 4 2 0 1 346 210 341 1978
+13444 4 2 0 1 692 693 800 2288
+13445 4 2 0 1 1450 2171 1190 2631
+13446 4 2 0 1 1659 2653 2239 2682
+13447 4 2 0 1 1903 2407 2002 2741
+13448 4 2 0 1 159 2049 2394 2561
+13449 4 2 0 1 1205 1493 1281 2339
+13450 4 2 0 1 1666 2249 2063 2505
+13451 4 2 0 1 455 2554 371 2791
+13452 4 2 0 1 496 2128 429 2606
+13453 4 2 0 1 2117 2273 1840 2617
+13454 4 2 0 1 1517 1184 1235 2342
+13455 4 2 0 1 1614 2416 2064 2814
+13456 4 2 0 1 1593 2319 2086 2689
+13457 4 2 0 1 1059 1128 1021 2140
+13458 4 2 0 1 635 1934 647 2786
+13459 4 2 0 1 1254 2117 1261 2551
+13460 4 2 0 1 301 235 2002 2605
+13461 4 2 0 1 628 568 574 2345
+13462 4 2 0 1 1473 1498 987 2241
+13463 4 2 0 1 415 417 188 2090
+13464 4 2 0 1 1660 1981 2368 2505
+13465 4 2 0 1 1915 2355 1605 2395
+13466 4 2 0 1 237 318 412 2641
+13467 4 2 0 1 737 738 1495 2666
+13468 4 2 0 1 1594 1875 2319 2483
+13469 4 2 0 1 384 2639 1996 2647
+13470 4 2 0 1 2038 2311 1682 2437
+13471 4 2 0 1 2434 2435 1742 2500
+13472 4 2 0 1 551 615 589 2393
+13473 4 2 0 1 1714 2320 2111 2510
+13474 4 2 0 1 653 682 660 2283
+13475 4 2 0 1 335 209 330 2200
+13476 4 2 0 1 2050 2348 1750 2572
+13477 4 2 0 1 1742 2500 2435 2686
+13478 4 2 0 1 497 399 218 2472
+13479 4 2 0 1 1285 1295 1271 2056
+13480 4 2 0 1 769 783 842 2186
+13481 4 2 0 1 1175 1086 1124 2518
+13482 4 2 0 1 553 622 2197 2408
+13483 4 2 0 1 253 486 279 2694
+13484 4 2 0 1 766 717 694 2307
+13485 4 2 0 1 1411 1371 1191 2263
+13486 4 2 0 1 494 408 229 1915
+13487 4 2 0 1 1696 2670 2184 2742
+13488 4 2 0 1 236 2124 190 2819
+13489 4 2 0 1 1890 1685 2634 2684
+13490 4 2 0 1 2138 2458 1959 2518
+13491 4 2 0 1 2220 1689 2743 2782
+13492 4 2 0 1 1974 2370 1780 2783
+13493 4 2 0 1 1254 2289 1268 2730
+13494 4 2 0 1 786 732 2403 2628
+13495 4 2 0 1 1440 2033 1237 2835
+13496 4 2 0 1 1873 2421 1615 2738
+13497 4 2 0 1 415 469 417 2662
+13498 4 2 0 1 1573 2452 2010 2473
+13499 4 2 0 1 1427 2358 1456 2485
+13500 4 2 0 1 1275 1503 1244 2615
+13501 4 2 0 1 1595 2572 2112 2798
+13502 4 2 0 1 895 983 859 2162
+13503 4 2 0 1 932 963 927 2421
+13504 4 2 0 1 1706 2036 2324 2746
+13505 4 2 0 1 1911 2428 1667 2778
+13506 4 2 0 1 1313 1212 2133 2668
+13507 4 2 0 1 622 609 558 2408
+13508 4 2 0 1 1715 2478 2488 2503
+13509 4 2 0 1 1149 1870 2594 2769
+13510 4 2 0 1 1856 2398 2306 2688
+13511 4 2 0 1 2006 2335 1673 2656
+13512 4 2 0 1 1172 2564 1033 2565
+13513 4 2 0 1 1036 1870 1149 2769
+13514 4 2 0 1 1529 1945 2240 2656
+13515 4 2 0 1 1547 2282 2250 2790
+13516 4 2 0 1 381 386 2207 2661
+13517 4 2 0 1 1543 2025 2660 2792
+13518 4 2 0 1 535 622 558 1984
+13519 4 2 0 1 1711 2114 1870 2710
+13520 4 2 0 1 2259 2382 1664 2734
+13521 4 2 0 1 705 811 2501 2585
+13522 4 2 0 1 1133 1147 1077 2056
+13523 4 2 0 1 380 202 393 2776
+13524 4 2 0 1 665 639 657 2725
+13525 4 2 0 1 1683 2306 2398 2572
+13526 4 2 0 1 1169 2119 1143 2769
+13527 4 2 0 1 574 568 613 2345
+13528 4 2 0 1 306 182 311 2190
+13529 4 2 0 1 1301 2420 1212 2668
+13530 4 2 0 1 1707 2140 2346 2619
+13531 4 2 0 1 1229 2033 1420 2667
+13532 4 2 0 1 2014 2598 1743 2659
+13533 4 2 0 1 1141 2410 1148 2733
+13534 4 2 0 1 1954 1706 2415 2655
+13535 4 2 0 1 249 414 367 2821
+13536 4 2 0 1 1718 2436 2106 2714
+13537 4 2 0 1 2097 2468 1594 2571
+13538 4 2 0 1 225 173 271 2576
+13539 4 2 0 1 1233 1412 1421 2091
+13540 4 2 0 1 2074 2332 1629 2341
+13541 4 2 0 1 2062 2624 1720 2805
+13542 4 2 0 1 1479 1467 1451 2780
+13543 4 2 0 1 832 756 790 2171
+13544 4 2 0 1 952 883 901 2287
+13545 4 2 0 1 1650 2239 1985 2837
+13546 4 2 0 1 1586 2300 1988 2806
+13547 4 2 0 1 1935 1636 2247 2825
+13548 4 2 0 1 1696 2135 2051 2822
+13549 4 2 0 1 226 186 472 2127
+13550 4 2 0 1 2036 1679 2324 2746
+13551 4 2 0 1 1332 1223 1392 2441
+13552 4 2 0 1 1636 2470 2072 2747
+13553 4 2 0 1 2272 2473 1973 2697
+13554 4 2 0 1 1596 2173 2128 2606
+13555 4 2 0 1 1723 2488 2478 2503
+13556 4 2 0 1 1459 1211 886 2081
+13557 4 2 0 1 1669 2583 2290 2796
+13558 4 2 0 1 1703 2385 2160 2731
+13559 4 2 0 1 1800 1619 2409 2490
+13560 4 2 0 1 202 347 393 2635
+13561 4 2 0 1 1692 1974 2351 2783
+13562 4 2 0 1 1950 2430 1659 2682
+13563 4 2 0 1 1033 1038 1126 2564
+13564 4 2 0 1 1614 2172 1929 2764
+13565 4 2 0 1 1578 2345 2450 2802
+13566 4 2 0 1 299 310 2005 2647
+13567 4 2 0 1 1251 1244 2051 2615
+13568 4 2 0 1 553 533 656 2009
+13569 4 2 0 1 2114 1870 2255 2769
+13570 4 2 0 1 1413 1305 1337 2667
+13571 4 2 0 1 1297 1177 1312 1922
+13572 4 2 0 1 1636 1987 2470 2747
+13573 4 2 0 1 1562 2141 2193 2823
+13574 4 2 0 1 216 423 424 2554
+13575 4 2 0 1 1318 1363 1217 2042
+13576 4 2 0 1 1894 2421 1615 2492
+13577 4 2 0 1 1833 2239 1958 2750
+13578 4 2 0 1 1808 2592 2534 2834
+13579 4 2 0 1 824 810 694 2451
+13580 4 2 0 1 1377 2325 1219 2512
+13581 4 2 0 1 1081 1143 2119 2769
+13582 4 2 0 1 1354 1192 1355 2077
+13583 4 2 0 1 1579 2479 1971 2781
+13584 4 2 0 1 2221 2292 1843 2492
+13585 4 2 0 1 916 1007 920 2107
+13586 4 2 0 1 1562 2595 2175 2728
+13587 4 2 0 1 779 2055 731 2529
+13588 4 2 0 1 1586 2369 2300 2806
+13589 4 2 0 1 846 487 269 2277
+13590 4 2 0 1 563 668 140 2456
+13591 4 2 0 1 169 304 338 2691
+13592 4 2 0 1 1751 2428 2125 2562
+13593 4 2 0 1 429 2173 243 2606
+13594 4 2 0 1 1709 2300 1888 2774
+13595 4 2 0 1 912 918 972 2576
+13596 4 2 0 1 1695 1903 2741 2779
+13597 4 2 0 1 2012 2325 1857 2515
+13598 4 2 0 1 1938 2231 1791 2476
+13599 4 2 0 1 136 1141 2410 2777
+13600 4 2 0 1 229 408 379 1915
+13601 4 2 0 1 589 645 659 2132
+13602 4 2 0 1 969 875 871 2280
+13603 4 2 0 1 232 2328 402 2819
+13604 4 2 0 1 346 342 210 2556
+13605 4 2 0 1 2154 2433 1891 2706
+13606 4 2 0 1 1450 832 790 2171
+13607 4 2 0 1 1528 1966 2466 2836
+13608 4 2 0 1 1805 2558 2096 2708
+13609 4 2 0 1 1099 1028 1043 2414
+13610 4 2 0 1 2025 2622 1964 2792
+13611 4 2 0 1 1344 2469 1430 2812
+13612 4 2 0 1 774 702 2529 2690
+13613 4 2 0 1 1093 1134 1090 2518
+13614 4 2 0 1 917 973 987 2241
+13615 4 2 0 1 1180 1267 1482 2021
+13616 4 2 0 1 1071 1028 1099 2414
+13617 4 2 0 1 1833 2401 2052 2750
+13618 4 2 0 1 982 976 150 1946
+13619 4 2 0 1 287 2107 251 2803
+13620 4 2 0 1 1928 1717 2813 2820
+13621 4 2 0 1 773 786 712 2403
+13622 4 2 0 1 735 1514 1203 2135
+13623 4 2 0 1 364 414 249 2826
+13624 4 2 0 1 1538 1943 2402 2411
+13625 4 2 0 1 1255 1489 1417 2620
+13626 4 2 0 1 1857 2044 2453 2521
+13627 4 2 0 1 469 415 420 1861
+13628 4 2 0 1 1108 1075 1073 2095
+13629 4 2 0 1 1194 1440 1237 2835
+13630 4 2 0 1 1895 2489 1737 2679
+13631 4 2 0 1 1969 2407 1903 2657
+13632 4 2 0 1 778 2684 856 2690
+13633 4 2 0 1 1585 2653 2052 2750
+13634 4 2 0 1 909 522 526 2477
+13635 4 2 0 1 1454 1444 1238 2205
+13636 4 2 0 1 1701 2230 2116 2524
+13637 4 2 0 1 1742 2434 1976 2435
+13638 4 2 0 1 1515 1523 1493 2339
+13639 4 2 0 1 1670 2395 2147 2735
+13640 4 2 0 1 1370 1311 1223 2475
+13641 4 2 0 1 1990 2606 2128 2830
+13642 4 2 0 1 757 789 755 2144
+13643 4 2 0 1 280 2338 527 2692
+13644 4 2 0 1 2244 2335 2006 2656
+13645 4 2 0 1 1315 1376 1320 2720
+13646 4 2 0 1 250 2086 1952 2821
+13647 4 2 0 1 1973 2272 1653 2473
+13648 4 2 0 1 1308 1319 1324 2324
+13649 4 2 0 1 1308 1324 1216 2655
+13650 4 2 0 1 733 764 823 2045
+13651 4 2 0 1 2157 2657 288 2824
+13652 4 2 0 1 1655 2450 2124 2533
+13653 4 2 0 1 255 474 410 1967
+13654 4 2 0 1 767 700 711 2375
+13655 4 2 0 1 1664 2537 2188 2700
+13656 4 2 0 1 384 248 331 1996
+13657 4 2 0 1 1544 1951 2619 2833
+13658 4 2 0 1 374 360 354 2366
+13659 4 2 0 1 1733 2574 2084 2676
+13660 4 2 0 1 1595 2348 2112 2572
+13661 4 2 0 1 1431 1231 1400 2132
+13662 4 2 0 1 229 371 2395 2791
+13663 4 2 0 1 1222 1356 1391 2247
+13664 4 2 0 1 1196 2117 1254 2730
+13665 4 2 0 1 1432 1448 1451 2780
+13666 4 2 0 1 2020 1644 2438 2756
+13667 4 2 0 1 812 781 849 1936
+13668 4 2 0 1 890 2101 434 2494
+13669 4 2 0 1 2000 2616 2392 2834
+13670 4 2 0 1 1746 2218 2719 2814
+13671 4 2 0 1 646 602 605 2587
+13672 4 2 0 1 1594 2571 1939 2607
+13673 4 2 0 1 138 139 1053 2264
+13674 4 2 0 1 1608 2266 2118 2701
+13675 4 2 0 1 1477 1476 1280 1937
+13676 4 2 0 1 1583 2225 2054 2789
+13677 4 2 0 1 1329 1188 1303 2284
+13678 4 2 0 1 669 1522 1513 139
+13679 4 2 0 1 2046 2330 1677 2761
+13680 4 2 0 1 1692 2665 1892 2783
+13681 4 2 0 1 311 224 324 2190
+13682 4 2 0 1 228 259 1905 2457
+13683 4 2 0 1 698 786 720 2692
+13684 4 2 0 1 1543 2412 2726 2757
+13685 4 2 0 1 1317 1338 2018 2788
+13686 4 2 0 1 1575 2509 1853 2646
+13687 4 2 0 1 696 2508 730 2732
+13688 4 2 0 1 1894 2514 1687 2542
+13689 4 2 0 1 1589 2320 2105 2510
+13690 4 2 0 1 309 339 317 2156
+13691 4 2 0 1 1426 2751 1433 2770
+13692 4 2 0 1 572 625 564 2344
+13693 4 2 0 1 842 783 726 2109
+13694 4 2 0 1 696 730 722 2732
+13695 4 2 0 1 142 826 2120 2732
+13696 4 2 0 1 2034 2634 1685 2684
+13697 4 2 0 1 1750 2398 2306 2572
+13698 4 2 0 1 355 430 358 2679
+13699 4 2 0 1 1806 2219 2085 2673
+13700 4 2 0 1 482 502 421 2049
+13701 4 2 0 1 2414 2544 1842 2716
+13702 4 2 0 1 2478 2488 1723 2789
+13703 4 2 0 1 2090 2657 1697 2662
+13704 4 2 0 1 415 462 420 1861
+13705 4 2 0 1 2319 2545 2086 2821
+13706 4 2 0 1 429 2128 496 2818
+13707 4 2 0 1 1719 2318 2275 2767
+13708 4 2 0 1 305 169 307 2691
+13709 4 2 0 1 237 2641 364 2826
+13710 4 2 0 1 1167 1076 1130 2713
+13711 4 2 0 1 1604 2235 2371 2526
+13712 4 2 0 1 217 2207 2196 2661
+13713 4 2 0 1 1899 1668 2580 2827
+13714 4 2 0 1 1555 2174 2329 2598
+13715 4 2 0 1 1039 1103 1077 2056
+13716 4 2 0 1 394 228 1905 2815
+13717 4 2 0 1 2128 1723 2503 2818
+13718 4 2 0 1 1469 2620 1186 2740
+13719 4 2 0 1 1052 1065 1022 1927
+13720 4 2 0 1 875 916 920 2107
+13721 4 2 0 1 1649 2597 2030 2744
+13722 4 2 0 1 600 615 637 2663
+13723 4 2 0 1 1632 2178 2117 2785
+13724 4 2 0 1 1441 2615 1251 2835
+13725 4 2 0 1 733 2045 2253 2378
+13726 4 2 0 1 1350 1405 839 2379
+13727 4 2 0 1 1819 2543 1100 2709
+13728 4 2 0 1 1360 1327 1369 2104
+13729 4 2 0 1 340 2605 303 2614
+13730 4 2 0 1 1056 1101 1062 2488
+13731 4 2 0 1 1489 2094 1186 2620
+13732 4 2 0 1 1939 1594 2468 2571
+13733 4 2 0 1 642 557 189 2330
+13734 4 2 0 1 964 962 1015 2248
+13735 4 2 0 1 305 211 389 2571
+13736 4 2 0 1 1673 2312 2006 2656
+13737 4 2 0 1 1321 2044 1349 2455
+13738 4 2 0 1 915 913 2233 2775
+13739 4 2 0 1 2148 2275 1633 2770
+13740 4 2 0 1 1472 1270 1250 1914
+13741 4 2 0 1 548 544 639 2069
+13742 4 2 0 1 466 2209 264 2685
+13743 4 2 0 1 1490 1198 580 576
+13744 4 2 0 1 589 615 583 2132
+13745 4 2 0 1 1614 2709 2416 2814
+13746 4 2 0 1 2339 2716 1787 2804
+13747 4 2 0 1 934 992 981 2734
+13748 4 2 0 1 737 1495 2087 2666
+13749 4 2 0 1 1121 1122 1164 2584
+13750 4 2 0 1 1607 2197 1984 2408
+13751 4 2 0 1 1731 2531 1944 2720
+13752 4 2 0 1 2017 2645 380 2815
+13753 4 2 0 1 397 2752 2554 2791
+13754 4 2 0 1 1022 1109 1060 2424
+13755 4 2 0 1 1929 2709 1614 2764
+13756 4 2 0 1 2377 2443 1985 2837
+13757 4 2 0 1 1868 2473 1973 2766
+13758 4 2 0 1 302 494 371 2395
+13759 4 2 0 1 890 951 938 2101
+13760 4 2 0 1 1643 2338 1849 2628
+13761 4 2 0 1 1796 2577 2145 2643
+13762 4 2 0 1 432 2405 1913 2713
+13763 4 2 0 1 1521 1507 1485 2184
+13764 4 2 0 1 2010 2473 2272 2697
+13765 4 2 0 1 733 2253 808 2378
+13766 4 2 0 1 830 2277 722 2732
+13767 4 2 0 1 185 642 2330 2560
+13768 4 2 0 1 1837 2301 2146 2625
+13769 4 2 0 1 1705 2387 2094 2760
+13770 4 2 0 1 841 2161 770 2638
+13771 4 2 0 1 832 756 2171 2631
+13772 4 2 0 1 1723 2054 2225 2789
+13773 4 2 0 1 1220 1357 1474 2137
+13774 4 2 0 1 1331 1300 1469 2740
+13775 4 2 0 1 1321 1351 1349 2044
+13776 4 2 0 1 1719 2609 2318 2767
+13777 4 2 0 1 1166 1033 1172 2564
+13778 4 2 0 1 2046 2330 586 2560
+13779 4 2 0 1 582 536 562 2658
+13780 4 2 0 1 1658 2336 2092 2622
+13781 4 2 0 1 1902 2409 1619 2490
+13782 4 2 0 1 2034 2684 1685 2690
+13783 4 2 0 1 1346 1247 1362 2337
+13784 4 2 0 1 1449 1391 1387 2247
+13785 4 2 0 1 467 246 191 2144
+13786 4 2 0 1 936 867 880 2073
+13787 4 2 0 1 1274 1277 1500 2586
+13788 4 2 0 1 1450 832 2171 2631
+13789 4 2 0 1 370 219 297 2744
+13790 4 2 0 1 210 357 321 2601
+13791 4 2 0 1 1050 1070 1024 2422
+13792 4 2 0 1 1080 388 47 272
+13793 4 2 0 1 1667 2486 2061 2650
+13794 4 2 0 1 1071 1077 1103 2056
+13795 4 2 0 1 131 654 132 2830
+13796 4 2 0 1 2217 2277 1674 2732
+13797 4 2 0 1 1398 1460 1504 1984
+13798 4 2 0 1 1822 2378 2253 2717
+13799 4 2 0 1 1496 1480 1499 2131
+13800 4 2 0 1 216 2395 371 2554
+13801 4 2 0 1 1046 1914 1250 2696
+13802 4 2 0 1 530 596 598 1973
+13803 4 2 0 1 2066 2525 403 2674
+13804 4 2 0 1 1586 2290 1988 2388
+13805 4 2 0 1 2154 2210 1630 2546
+13806 4 2 0 1 1120 2060 1047 2733
+13807 4 2 0 1 737 2087 697 2666
+13808 4 2 0 1 1963 2214 1717 2739
+13809 4 2 0 1 1040 1109 1096 2406
+13810 4 2 0 1 2044 1774 2453 2521
+13811 4 2 0 1 378 2366 374 2683
+13812 4 2 0 1 787 713 731 2529
+13813 4 2 0 1 1267 1455 1255 2021
+13814 4 2 0 1 439 232 402 2819
+13815 4 2 0 1 1168 2581 1075 2582
+13816 4 2 0 1 421 502 362 2049
+13817 4 2 0 1 1195 2299 1458 2374
+13818 4 2 0 1 1564 1920 2242 2699
+13819 4 2 0 1 1061 2339 1025 2804
+13820 4 2 0 1 1318 1354 1363 2042
+13821 4 2 0 1 1658 2564 2349 2565
+13822 4 2 0 1 776 2403 732 2628
+13823 4 2 0 1 1636 2381 2326 2825
+13824 4 2 0 1 1180 2229 1282 2563
+13825 4 2 0 1 1556 2429 2016 2765
+13826 4 2 0 1 2094 2740 1837 2781
+13827 4 2 0 1 1789 2228 1978 2613
+13828 4 2 0 1 1461 1395 2499 2720
+13829 4 2 0 1 1521 1204 1520 2184
+13830 4 2 0 1 278 954 285 2327
+13831 4 2 0 1 266 500 504 2626
+13832 4 2 0 1 1399 1228 1992 2770
+13833 4 2 0 1 952 883 2287 2715
+13834 4 2 0 1 1767 2574 1879 2676
+13835 4 2 0 1 1738 2758 2423 2836
+13836 4 2 0 1 1723 2626 2422 2818
+13837 4 2 0 1 1355 1192 1335 2077
+13838 4 2 0 1 1671 2651 2252 2678
+13839 4 2 0 1 1908 2379 2041 2485
+13840 4 2 0 1 411 445 434 2494
+13841 4 2 0 1 1304 2302 1213 2788
+13842 4 2 0 1 615 540 583 2393
+13843 4 2 0 1 1292 1282 1202 2582
+13844 4 2 0 1 525 592 679 514
+13845 4 2 0 1 686 640 607 2390
+13846 4 2 0 1 611 540 555 2281
+13847 4 2 0 1 2416 2709 2064 2814
+13848 4 2 0 1 1159 1059 1054 2140
+13849 4 2 0 1 486 184 481 2330
+13850 4 2 0 1 1313 1317 1221 2531
+13851 4 2 0 1 1397 1365 2275 2770
+13852 4 2 0 1 2276 2454 1865 2712
+13853 4 2 0 1 1081 1169 1143 2769
+13854 4 2 0 1 302 371 216 2395
+13855 4 2 0 1 1314 1213 1304 2302
+13856 4 2 0 1 1076 1074 2405 2642
+13857 4 2 0 1 287 477 251 2107
+13858 4 2 0 1 991 935 2115 2461
+13859 4 2 0 1 824 694 2307 2451
+13860 4 2 0 1 714 782 718 2161
+13861 4 2 0 1 895 2421 2162 2695
+13862 4 2 0 1 1562 2314 2141 2823
+13863 4 2 0 1 1095 1044 1174 2274
+13864 4 2 0 1 1458 2374 2299 2499
+13865 4 2 0 1 1616 1951 2244 2627
+13866 4 2 0 1 459 465 819 2106
+13867 4 2 0 1 507 429 496 2818
+13868 4 2 0 1 1286 1513 669 2419
+13869 4 2 0 1 352 207 321 2130
+13870 4 2 0 1 1728 2479 2226 2800
+13871 4 2 0 1 2178 2223 2117 2730
+13872 4 2 0 1 1452 1464 1291 2462
+13873 4 2 0 1 1711 1870 2114 2769
+13874 4 2 0 1 2133 2208 1805 2668
+13875 4 2 0 1 669 1522 139 2419
+13876 4 2 0 1 190 236 259 2124
+13877 4 2 0 1 408 469 379 2662
+13878 4 2 0 1 1749 2557 2615 2718
+13879 4 2 0 1 1607 2009 2197 2408
+13880 4 2 0 1 1597 2471 1958 2506
+13881 4 2 0 1 2253 2555 1648 2649
+13882 4 2 0 1 2010 2215 1536 2743
+13883 4 2 0 1 585 609 538 2408
+13884 4 2 0 1 1704 2314 2141 2723
+13885 4 2 0 1 2377 2443 1662 2705
+13886 4 2 0 1 1352 1316 1186 2094
+13887 4 2 0 1 411 173 369 2317
+13888 4 2 0 1 1494 1503 1263 2722
+13889 4 2 0 1 1416 1236 1243 2289
+13890 4 2 0 1 2141 2314 1704 2823
+13891 4 2 0 1 140 487 846 2277
+13892 4 2 0 1 1532 2538 2210 2546
+13893 4 2 0 1 1842 2522 1745 2733
+13894 4 2 0 1 917 911 973 2241
+13895 4 2 0 1 2081 2233 913 2775
+13896 4 2 0 1 1607 2250 1968 2500
+13897 4 2 0 1 2177 2184 1696 2822
+13898 4 2 0 1 879 2514 942 2542
+13899 4 2 0 1 1346 1362 1336 2337
+13900 4 2 0 1 1674 2277 2217 2645
+13901 4 2 0 1 917 878 943 2591
+13902 4 2 0 1 833 689 823 2649
+13903 4 2 0 1 894 157 156 2670
+13904 4 2 0 1 1651 1922 2493 2664
+13905 4 2 0 1 991 153 152 2115
+13906 4 2 0 1 268 670 131 2830
+13907 4 2 0 1 974 933 984 2365
+13908 4 2 0 1 1807 2550 2413 2739
+13909 4 2 0 1 715 784 696 2217
+13910 4 2 0 1 1805 2531 1944 2558
+13911 4 2 0 1 1229 1440 1420 2033
+13912 4 2 0 1 828 842 153 2186
+13913 4 2 0 1 175 248 471 2674
+13914 4 2 0 1 886 2081 913 2775
+13915 4 2 0 1 2147 2395 1605 2735
+13916 4 2 0 1 1269 1251 1244 2051
+13917 4 2 0 1 429 243 2173 2752
+13918 4 2 0 1 510 515 650 2359
+13919 4 2 0 1 1915 408 2662 2824
+13920 4 2 0 1 1546 2483 2061 2689
+13921 4 2 0 1 1398 1286 578 2419
+13922 4 2 0 1 1674 2508 2217 2732
+13923 4 2 0 1 850 755 793 2498
+13924 4 2 0 1 1087 1102 1029 2202
+13925 4 2 0 1 2018 2534 2320 2834
+13926 4 2 0 1 973 911 889 2715
+13927 4 2 0 1 971 1459 886 2775
+13928 4 2 0 1 473 424 504 2225
+13929 4 2 0 1 747 780 745 2436
+13930 4 2 0 1 269 501 740 736
+13931 4 2 0 1 708 754 756 2171
+13932 4 2 0 1 349 181 323 2559
+13933 4 2 0 1 237 180 520 2826
+13934 4 2 0 1 376 239 245 2539
+13935 4 2 0 1 1593 2086 2612 2689
+13936 4 2 0 1 1574 2276 2024 2811
+13937 4 2 0 1 370 204 331 2744
+13938 4 2 0 1 2105 2261 1714 2534
+13939 4 2 0 1 820 839 1405 2379
+13940 4 2 0 1 1716 2319 2097 2821
+13941 4 2 0 1 705 760 811 2585
+13942 4 2 0 1 833 767 711 2649
+13943 4 2 0 1 1695 2519 2449 2799
+13944 4 2 0 1 1304 1212 1462 2133
+13945 4 2 0 1 1440 1229 1237 2033
+13946 4 2 0 1 1855 2378 1822 2772
+13947 4 2 0 1 1885 1642 2711 2801
+13948 4 2 0 1 1601 2227 2673 2839
+13949 4 2 0 1 531 649 567 2192
+13950 4 2 0 1 394 228 259 1905
+13951 4 2 0 1 1345 1375 1215 2467
+13952 4 2 0 1 1982 2397 348 2819
+13953 4 2 0 1 782 775 718 2555
+13954 4 2 0 1 1323 1215 1326 2467
+13955 4 2 0 1 2474 2552 2021 2755
+13956 4 2 0 1 1510 1298 1307 2241
+13957 4 2 0 1 853 145 827 2425
+13958 4 2 0 1 1674 2217 2508 2773
+13959 4 2 0 1 1015 2248 961 2588
+13960 4 2 0 1 187 2635 2106 2714
+13961 4 2 0 1 1313 1317 2531 2788
+13962 4 2 0 1 1223 1428 1392 1924
+13963 4 2 0 1 160 2394 1929 2561
+13964 4 2 0 1 616 570 573 1912
+13965 4 2 0 1 131 132 2128 2830
+13966 4 2 0 1 546 665 591 2053
+13967 4 2 0 1 1578 2443 1985 2705
+13968 4 2 0 1 2395 2554 1823 2735
+13969 4 2 0 1 1766 2496 2697 2759
+13970 4 2 0 1 638 599 649 1948
+13971 4 2 0 1 381 217 386 2661
+13972 4 2 0 1 890 173 434 2101
+13973 4 2 0 1 1994 2178 1632 2785
+13974 4 2 0 1 1636 2001 2285 2703
+13975 4 2 0 1 233 2405 404 2556
+13976 4 2 0 1 1313 1302 1212 2668
+13977 4 2 0 1 2338 2628 721 2692
+13978 4 2 0 1 23 464 257 741
+13979 4 2 0 1 349 323 344 1979
+13980 4 2 0 1 2210 2538 1783 2546
+13981 4 2 0 1 2412 1848 2726 2805
+13982 4 2 0 1 485 380 393 2017
+13983 4 2 0 1 1081 1036 1149 2769
+13984 4 2 0 1 1686 2092 2336 2622
+13985 4 2 0 1 1517 1468 1184 2724
+13986 4 2 0 1 1810 2690 2529 2718
+13987 4 2 0 1 1952 2086 2545 2821
+13988 4 2 0 1 462 443 256 2185
+13989 4 2 0 1 940 945 953 2637
+13990 4 2 0 1 2309 2449 1550 2519
+13991 4 2 0 1 996 158 891 2049
+13992 4 2 0 1 1664 2158 2382 2738
+13993 4 2 0 1 1587 2548 2126 2828
+13994 4 2 0 1 1048 1144 2064 2458
+13995 4 2 0 1 361 206 328 2669
+13996 4 2 0 1 1246 1444 2205 2557
+13997 4 2 0 1 1565 1858 2729 2801
+13998 4 2 0 1 198 172 487 2277
+13999 4 2 0 1 674 673 530 2180
+14000 4 2 0 1 1424 2469 1344 2812
+14001 4 2 0 1 1652 2236 2169 2728
+14002 4 2 0 1 597 543 662 2256
+14003 4 2 0 1 1034 2095 1108 2603
+14004 4 2 0 1 1272 1458 1195 2299
+14005 4 2 0 1 384 183 2639 2647
+14006 4 2 0 1 536 574 623 1884
+14007 4 2 0 1 1197 1419 1422 2551
+14008 4 2 0 1 2219 2292 1694 2832
+14009 4 2 0 1 1808 2374 2018 2534
+14010 4 2 0 1 1459 1279 1211 2081
+14011 4 2 0 1 1674 2705 2120 2732
+14012 4 2 0 1 1718 2508 2217 2773
+14013 4 2 0 1 1808 2534 2018 2834
+14014 4 2 0 1 1971 2479 1741 2781
+14015 4 2 0 1 1058 2179 2522 2777
+14016 4 2 0 1 338 291 491 1997
+14017 4 2 0 1 1093 1026 1041 2043
+14018 4 2 0 1 343 221 359 1947
+14019 4 2 0 1 1636 2285 2072 2470
+14020 4 2 0 1 1678 2664 2078 2704
+14021 4 2 0 1 1458 2299 1481 2499
+14022 4 2 0 1 1528 2466 2048 2836
+14023 4 2 0 1 1113 1136 1052 2394
+14024 4 2 0 1 2062 2262 1686 2797
+14025 4 2 0 1 849 764 814 2045
+14026 4 2 0 1 880 867 931 2073
+14027 4 2 0 1 496 429 528 2606
+14028 4 2 0 1 1095 2274 1140 2416
+14029 4 2 0 1 1413 1213 1305 2667
+14030 4 2 0 1 496 2128 2606 2830
+14031 4 2 0 1 649 1948 599 2786
+14032 4 2 0 1 1766 2697 2180 2759
+14033 4 2 0 1 241 2554 397 2752
+14034 4 2 0 1 1202 1208 1079 2582
+14035 4 2 0 1 2417 2580 1668 2827
+14036 4 2 0 1 1379 1409 1218 2493
+14037 4 2 0 1 1705 2474 2021 2755
+14038 4 2 0 1 1715 2488 2478 2789
+14039 4 2 0 1 1578 2450 2124 2727
+14040 4 2 0 1 260 489 506 2422
+14041 4 2 0 1 1138 1114 1172 2349
+14042 4 2 0 1 1366 1209 1296 2001
+14043 4 2 0 1 2030 2597 1801 2744
+14044 4 2 0 1 1551 2074 2341 2762
+14045 4 2 0 1 1480 1488 1499 2131
+14046 4 2 0 1 159 956 891 2049
+14047 4 2 0 1 1126 1038 1102 2202
+14048 4 2 0 1 676 2321 633 2766
+14049 4 2 0 1 1954 2415 2194 2655
+14050 4 2 0 1 1695 2741 2222 2779
+14051 4 2 0 1 999 155 1013 2165
+14052 4 2 0 1 1097 1073 1046 1914
+14053 4 2 0 1 870 876 993 1907
+14054 4 2 0 1 663 607 652 1972
+14055 4 2 0 1 1640 2218 2182 2719
+14056 4 2 0 1 1428 1488 1456 2087
+14057 4 2 0 1 2052 2401 1675 2750
+14058 4 2 0 1 2080 2590 1980 2838
+14059 4 2 0 1 763 733 808 2378
+14060 4 2 0 1 1387 2247 1391 2825
+14061 4 2 0 1 811 780 707 2501
+14062 4 2 0 1 1200 1280 1207 2053
+14063 4 2 0 1 1253 1178 1409 2455
+14064 4 2 0 1 649 567 2192 2786
+14065 4 2 0 1 135 136 1141 2410
+14066 4 2 0 1 1781 2184 2670 2742
+14067 4 2 0 1 309 2156 317 2795
+14068 4 2 0 1 313 201 317 2795
+14069 4 2 0 1 2161 2360 1860 2638
+14070 4 2 0 1 1996 2647 1801 2744
+14071 4 2 0 1 2199 2257 1804 2520
+14072 4 2 0 1 1327 1217 1369 2579
+14073 4 2 0 1 148 147 724 2131
+14074 4 2 0 1 1114 192 1118 2349
+14075 4 2 0 1 1761 2612 2107 2803
+14076 4 2 0 1 544 637 551 2663
+14077 4 2 0 1 1767 2084 2574 2676
+14078 4 2 0 1 1906 2513 1626 2608
+14079 4 2 0 1 1788 2024 2276 2811
+14080 4 2 0 1 726 791 2109 2628
+14081 4 2 0 1 1250 1914 1270 2696
+14082 4 2 0 1 1062 2488 1024 2503
+14083 4 2 0 1 231 377 468 2068
+14084 4 2 0 1 1116 1960 1056 2503
+14085 4 2 0 1 1182 1288 1248 1976
+14086 4 2 0 1 611 555 624 2294
+14087 4 2 0 1 448 461 265 2612
+14088 4 2 0 1 1167 1130 432 2713
+14089 4 2 0 1 1076 1035 1107 2642
+14090 4 2 0 1 557 586 608 2330
+14091 4 2 0 1 385 312 456 2407
+14092 4 2 0 1 1979 2336 1658 2535
+14093 4 2 0 1 1153 1034 1030 2603
+14094 4 2 0 1 778 815 856 2684
+14095 4 2 0 1 2231 2334 1608 2373
+14096 4 2 0 1 1605 2355 2262 2395
+14097 4 2 0 1 1686 2516 2092 2622
+14098 4 2 0 1 263 508 336 2714
+14099 4 2 0 1 331 204 310 2647
+14100 4 2 0 1 816 853 827 2425
+14101 4 2 0 1 1621 2307 1957 2451
+14102 4 2 0 1 713 779 731 2529
+14103 4 2 0 1 1024 2422 1051 2503
+14104 4 2 0 1 732 786 698 2628
+14105 4 2 0 1 953 945 897 2523
+14106 4 2 0 1 905 892 982 2477
+14107 4 2 0 1 1532 2210 2154 2546
+14108 4 2 0 1 923 959 955 1390
+14109 4 2 0 1 1130 2405 432 2713
+14110 4 2 0 1 1443 1468 1517 2026
+14111 4 2 0 1 1399 1228 1341 1992
+14112 4 2 0 1 853 847 146 2425
+14113 4 2 0 1 1288 1509 1199 2435
+14114 4 2 0 1 486 492 184 2694
+14115 4 2 0 1 522 909 905 2477
+14116 4 2 0 1 1576 1951 2474 2810
+14117 4 2 0 1 1370 1311 2475 2484
+14118 4 2 0 1 1482 1255 1189 2640
+14119 4 2 0 1 934 946 992 2259
+14120 4 2 0 1 674 672 2180 2672
+14121 4 2 0 1 1482 2229 2021 2640
+14122 4 2 0 1 1137 1055 1019 2570
+14123 4 2 0 1 533 571 640 2390
+14124 4 2 0 1 1612 2018 2320 2834
+14125 4 2 0 1 720 741 698 2692
+14126 4 2 0 1 1554 2392 2616 2834
+14127 4 2 0 1 1646 2522 2716 2804
+14128 4 2 0 1 873 1012 1006 2155
+14129 4 2 0 1 785 729 711 2375
+14130 4 2 0 1 1570 2318 2082 2609
+14131 4 2 0 1 1723 2225 2054 2626
+14132 4 2 0 1 429 241 243 2752
+14133 4 2 0 1 411 434 173 2101
+14134 4 2 0 1 241 2173 2554 2752
+14135 4 2 0 1 341 210 337 2601
+14136 4 2 0 1 515 626 650 2359
+14137 4 2 0 1 1476 558 1447 643
+14138 4 2 0 1 1403 1178 2201 2737
+14139 4 2 0 1 435 2405 1045 2424
+14140 4 2 0 1 476 442 404 2424
+14141 4 2 0 1 2180 2697 1573 2759
+14142 4 2 0 1 2154 2753 1916 2802
+14143 4 2 0 1 2094 2620 1837 2740
+14144 4 2 0 1 1626 2099 2347 2608
+14145 4 2 0 1 435 476 404 2424
+14146 4 2 0 1 1349 1351 1214 2044
+14147 4 2 0 1 715 696 740 2217
+14148 4 2 0 1 367 2097 179 2821
+14149 4 2 0 1 417 390 188 2090
+14150 4 2 0 1 1358 1225 1348 2076
+14151 4 2 0 1 289 2222 200 2741
+14152 4 2 0 1 633 530 687 2766
+14153 4 2 0 1 890 37 173 972
+14154 4 2 0 1 713 768 779 2529
+14155 4 2 0 1 1639 2654 2463 2743
+14156 4 2 0 1 792 155 156 2670
+14157 4 2 0 1 1874 1702 2630 2652
+14158 4 2 0 1 1870 2594 1710 2603
+14159 4 2 0 1 1048 1144 1044 2064
+14160 4 2 0 1 1562 2380 2314 2823
+14161 4 2 0 1 1454 1432 1190 2513
+14162 4 2 0 1 1573 2122 2452 2473
+14163 4 2 0 1 1098 1029 1072 2054
+14164 4 2 0 1 1665 2611 1917 2671
+14165 4 2 0 1 684 678 545 2569
+14166 4 2 0 1 396 2662 469 2824
+14167 4 2 0 1 1643 2685 2209 2793
+14168 4 2 0 1 1165 1028 1088 2414
+14169 4 2 0 1 1800 2209 2685 2793
+14170 4 2 0 1 1472 1282 1180 2229
+14171 4 2 0 1 1380 1409 1379 2493
+14172 4 2 0 1 1443 1468 2026 2686
+14173 4 2 0 1 771 710 784 2508
+14174 4 2 0 1 207 316 321 2130
+14175 4 2 0 1 268 174 670 2830
+14176 4 2 0 1 1180 1266 1267 2563
+14177 4 2 0 1 1224 889 1382 2715
+14178 4 2 0 1 932 927 869 2251
+14179 4 2 0 1 1471 1298 1187 2383
+14180 4 2 0 1 1558 2377 1985 2837
+14181 4 2 0 1 1104 2522 1842 2733
+14182 4 2 0 1 885 29 276 282
+14183 4 2 0 1 1525 1526 1203 2135
+14184 4 2 0 1 1488 737 1495 2087
+14185 4 2 0 1 145 827 2425 2638
+14186 4 2 0 1 1448 2263 1241 2780
+14187 4 2 0 1 1692 2665 2351 2754
+14188 4 2 0 1 1533 2270 2080 2838
+14189 4 2 0 1 563 141 628 1955
+14190 4 2 0 1 1105 1044 1095 2416
+14191 4 2 0 1 139 1155 1053 2264
+14192 4 2 0 1 2043 1959 2458 2518
+14193 4 2 0 1 2332 2341 2074 2762
+14194 4 2 0 1 1236 1268 1254 2289
+14195 4 2 0 1 1045 1074 1096 2405
+14196 4 2 0 1 304 303 2605 2614
+14197 4 2 0 1 944 960 988 2734
+14198 4 2 0 1 1242 1384 1439 2763
+14199 4 2 0 1 1692 2351 1974 2754
+14200 4 2 0 1 735 723 843 2135
+14201 4 2 0 1 1752 2316 1957 2816
+14202 4 2 0 1 2021 2474 1576 2552
+14203 4 2 0 1 1964 2792 1686 2797
+14204 4 2 0 1 459 2106 819 2714
+14205 4 2 0 1 296 332 200 2222
+14206 4 2 0 1 1638 1885 2325 2512
+14207 4 2 0 1 1435 2275 1179 2767
+14208 4 2 0 1 473 2092 382 2516
+14209 4 2 0 1 881 984 933 2589
+14210 4 2 0 1 968 861 899 2165
+14211 4 2 0 1 1457 1393 2326 2381
+14212 4 2 0 1 801 690 802 2028
+14213 4 2 0 1 891 2049 956 2561
+14214 4 2 0 1 645 1431 1429 2132
+14215 4 2 0 1 1553 1921 2459 2749
+14216 4 2 0 1 446 192 1114 2349
+14217 4 2 0 1 2124 2533 190 2819
+14218 4 2 0 1 564 625 648 2350
+14219 4 2 0 1 630 626 451 2610
+14220 4 2 0 1 245 2445 471 2539
+14221 4 2 0 1 1747 2332 2074 2762
+14222 4 2 0 1 731 728 792 2055
+14223 4 2 0 1 2018 2374 1731 2534
+14224 4 2 0 1 1805 2531 2133 2668
+14225 4 2 0 1 1434 1404 1356 2007
+14226 4 2 0 1 2360 2425 1860 2638
+14227 4 2 0 1 1553 2415 1921 2749
+14228 4 2 0 1 2233 2499 1803 2775
+14229 4 2 0 1 1939 2468 1737 2489
+14230 4 2 0 1 1020 1135 1123 2491
+14231 4 2 0 1 1787 2716 2414 2804
+14232 4 2 0 1 562 644 470 2658
+14233 4 2 0 1 592 525 679 61
+14234 4 2 0 1 938 882 869 2251
+14235 4 2 0 1 1724 2589 2165 2644
+14236 4 2 0 1 294 523 519 2624
+14237 4 2 0 1 992 161 162 2035
+14238 4 2 0 1 1545 2164 2088 2676
+14239 4 2 0 1 507 438 506 2422
+14240 4 2 0 1 917 959 923 2241
+14241 4 2 0 1 526 909 885 282
+14242 4 2 0 1 1680 2753 2154 2802
+14243 4 2 0 1 312 301 235 2002
+14244 4 2 0 1 1410 1407 1248 2442
+14245 4 2 0 1 1141 1148 1094 2733
+14246 4 2 0 1 181 326 341 2559
+14247 4 2 0 1 1653 2587 1973 2766
+14248 4 2 0 1 1648 2577 2643 2717
+14249 4 2 0 1 779 840 728 2055
+14250 4 2 0 1 561 2132 583 2294
+14251 4 2 0 1 1964 2622 1686 2792
+14252 4 2 0 1 943 2279 965 2591
+14253 4 2 0 1 2161 1662 2360 2638
+14254 4 2 0 1 1120 1047 1094 2733
+14255 4 2 0 1 1978 1681 2556 2613
+14256 4 2 0 1 1526 1494 1203 2135
+14257 4 2 0 1 369 173 225 2317
+14258 4 2 0 1 1651 2257 2199 2520
+14259 4 2 0 1 553 656 605 2009
+14260 4 2 0 1 630 678 626 2610
+14261 4 2 0 1 1068 1025 1064 2339
+14262 4 2 0 1 458 2525 219 2744
+14263 4 2 0 1 1668 2020 2399 2417
+14264 4 2 0 1 726 791 151 2109
+14265 4 2 0 1 159 2394 160 2561
+14266 4 2 0 1 1184 1468 1477 2724
+14267 4 2 0 1 328 365 183 2669
+14268 4 2 0 1 772 716 785 2666
+14269 4 2 0 1 1535 2203 2304 2665
+14270 4 2 0 1 107 979 1436 2462
+14271 4 2 0 1 1466 1119 1083 1115
+14272 4 2 0 1 118 1067 1046 1250
+14273 4 2 0 1 470 644 426 2658
+14274 4 2 0 1 1705 2627 2755 2760
+14275 4 2 0 1 983 965 921 2279
+14276 4 2 0 1 1166 1078 1038 2564
+14277 4 2 0 1 167 456 366 2159
+14278 4 2 0 1 2436 2502 1629 2772
+14279 4 2 0 1 949 880 900 2637
+14280 4 2 0 1 1705 2755 2387 2760
+14281 4 2 0 1 2081 2499 2233 2775
+14282 4 2 0 1 1180 1482 1497 2229
+14283 4 2 0 1 1190 1451 1467 2513
+14284 4 2 0 1 1175 1122 1121 2138
+14285 4 2 0 1 1821 2194 2415 2655
+14286 4 2 0 1 293 392 214 2516
+14287 4 2 0 1 1769 2513 1906 2608
+14288 4 2 0 1 1577 2058 2621 2748
+14289 4 2 0 1 1885 2711 2008 2801
+14290 4 2 0 1 1035 1154 1031 2170
+14291 4 2 0 1 932 882 941 2251
+14292 4 2 0 1 1034 1108 1171 2603
+14293 4 2 0 1 1242 1439 2387 2763
+14294 4 2 0 1 1125 1032 1081 2255
+14295 4 2 0 1 247 2533 261 2658
+14296 4 2 0 1 216 371 455 2554
+14297 4 2 0 1 107 1436 1291 2462
+14298 4 2 0 1 513 2355 2157 2824
+14299 4 2 0 1 1209 1366 1393 2381
+14300 4 2 0 1 1618 1973 2246 2697
+14301 4 2 0 1 1533 2504 1970 2583
+14302 4 2 0 1 268 2128 496 2830
+14303 4 2 0 1 2195 2303 1646 2716
+14304 4 2 0 1 1535 2110 2431 2487
+14305 4 2 0 1 1313 2531 2133 2788
+14306 4 2 0 1 1899 2618 1668 2827
+14307 4 2 0 1 1950 1655 2450 2727
+14308 4 2 0 1 637 615 551 2663
+14309 4 2 0 1 1190 2513 1467 2631
+14310 4 2 0 1 371 2554 2395 2791
+14311 4 2 0 1 1018 2191 1161 2594
+14312 4 2 0 1 142 826 788 2120
+14313 4 2 0 1 1735 2435 2434 2500
+14314 4 2 0 1 2326 2381 1393 2825
+14315 4 2 0 1 1568 2252 2047 2831
+14316 4 2 0 1 1550 2519 2449 2568
+14317 4 2 0 1 172 2456 254 2457
+14318 4 2 0 1 241 2173 423 2554
+14319 4 2 0 1 481 185 2330 2560
+14320 4 2 0 1 1010 2070 988 2734
+14321 4 2 0 1 1301 1334 1212 2420
+14322 4 2 0 1 1786 2536 2345 2802
+14323 4 2 0 1 1339 1302 1187 2383
+14324 4 2 0 1 944 988 898 2070
+14325 4 2 0 1 301 338 235 2605
+14326 4 2 0 1 577 564 654 2830
+14327 4 2 0 1 1001 1009 989 2562
+14328 4 2 0 1 1486 1270 2640 2696
+14329 4 2 0 1 2463 2654 1866 2743
+14330 4 2 0 1 1397 1240 1385 2148
+14331 4 2 0 1 1153 1139 1079 2582
+14332 4 2 0 1 1027 1107 1089 2642
+14333 4 2 0 1 1085 2191 1121 2584
+14334 4 2 0 1 1697 2662 2657 2824
+14335 4 2 0 1 2100 2372 1796 2577
+14336 4 2 0 1 598 2587 687 2766
+14337 4 2 0 1 1605 2315 1964 2797
+14338 4 2 0 1 1165 1043 1028 2414
+14339 4 2 0 1 2218 2764 1614 2814
+14340 4 2 0 1 971 886 913 2775
+14341 4 2 0 1 1276 1190 1450 2171
+14342 4 2 0 1 2260 2481 1700 2569
+14343 4 2 0 1 2234 2729 1854 2787
+14344 4 2 0 1 448 265 2086 2612
+14345 4 2 0 1 1133 127 1271 1049
+14346 4 2 0 1 1697 1915 2662 2824
+14347 4 2 0 1 1066 1273 1508 2696
+14348 4 2 0 1 1104 1165 1120 2733
+14349 4 2 0 1 1710 2594 1870 2710
+14350 4 2 0 1 1570 2082 2291 2609
+14351 4 2 0 1 690 733 809 2378
+14352 4 2 0 1 536 623 562 2658
+14353 4 2 0 1 410 397 177 2752
+14354 4 2 0 1 1278 1254 1196 2117
+14355 4 2 0 1 2414 2716 1842 2804
+14356 4 2 0 1 1202 1079 1139 2582
+14357 4 2 0 1 940 888 945 2461
+14358 4 2 0 1 220 2156 339 2683
+14359 4 2 0 1 185 189 481 2330
+14360 4 2 0 1 1424 1344 1430 2812
+14361 4 2 0 1 1218 1321 1349 2455
+14362 4 2 0 1 285 954 978 2327
+14363 4 2 0 1 629 147 565 2131
+14364 4 2 0 1 1345 1299 1308 2655
+14365 4 2 0 1 1870 2594 1711 2710
+14366 4 2 0 1 518 2277 172 2645
+14367 4 2 0 1 1202 1208 122 1079
+14368 4 2 0 1 634 2321 676 2766
+14369 4 2 0 1 766 712 776 2403
+14370 4 2 0 1 2246 2367 1618 2725
+14371 4 2 0 1 524 503 516 2477
+14372 4 2 0 1 1917 2547 1551 2762
+14373 4 2 0 1 97 1290 719 1505
+14374 4 2 0 1 507 496 268 2128
+14375 4 2 0 1 419 335 330 2200
+14376 4 2 0 1 326 1913 432 2405
+14377 4 2 0 1 2289 2551 1623 2730
+14378 4 2 0 1 1573 2452 2122 2630
+14379 4 2 0 1 1163 1162 1150 2384
+14380 4 2 0 1 246 433 195 2498
+14381 4 2 0 1 1670 2554 2395 2735
+14382 4 2 0 1 1606 2535 2040 2757
+14383 4 2 0 1 217 381 356 2207
+14384 4 2 0 1 2081 2299 1628 2499
+14385 4 2 0 1 2029 2519 1695 2799
+14386 4 2 0 1 1397 1365 1435 2275
+14387 4 2 0 1 999 155 2165 2670
+14388 4 2 0 1 819 2106 745 2714
+14389 4 2 0 1 1796 2100 2643 2837
+14390 4 2 0 1 1037 1163 1150 2565
+14391 4 2 0 1 2086 2319 1593 2545
+14392 4 2 0 1 1687 2514 2317 2576
+14393 4 2 0 1 2062 1686 2412 2797
+14394 4 2 0 1 2309 2519 1709 2799
+14395 4 2 0 1 301 2002 312 2741
+14396 4 2 0 1 437 255 395 2297
+14397 4 2 0 1 991 935 980 2115
+14398 4 2 0 1 1282 2581 1394 2582
+14399 4 2 0 1 1316 2420 1301 2740
+14400 4 2 0 1 1325 1377 1333 2325
+14401 4 2 0 1 1707 2640 1914 2696
+14402 4 2 0 1 639 2469 595 2812
+14403 4 2 0 1 924 858 1001 2125
+14404 4 2 0 1 1914 2346 1707 2696
+14405 4 2 0 1 2253 2378 2045 2717
+14406 4 2 0 1 2080 2270 1657 2838
+14407 4 2 0 1 2320 2534 1714 2834
+14408 4 2 0 1 2146 2620 1837 2833
+14409 4 2 0 1 1431 1400 1429 2132
+14410 4 2 0 1 1149 1176 1084 2594
+14411 4 2 0 1 1984 2419 1735 2686
+14412 4 2 0 1 1766 2246 2180 2697
+14413 4 2 0 1 1088 1028 1103 2414
+14414 4 2 0 1 1232 1322 1332 2441
+14415 4 2 0 1 432 326 391 1913
+14416 4 2 0 1 381 2207 217 2661
+14417 4 2 0 1 586 2046 539 2761
+14418 4 2 0 1 1071 1133 1077 2056
+14419 4 2 0 1 1151 1140 162 2416
+14420 4 2 0 1 352 176 309 2269
+14421 4 2 0 1 409 452 224 2084
+14422 4 2 0 1 1519 1381 1508 2278
+14423 4 2 0 1 886 950 937 2081
+14424 4 2 0 1 1822 2502 2436 2772
+14425 4 2 0 1 1873 2492 2221 2738
+14426 4 2 0 1 1681 2642 2406 2768
+14427 4 2 0 1 546 2367 542 2725
+14428 4 2 0 1 1670 2752 1965 2791
+14429 4 2 0 1 365 444 509 2409
+14430 4 2 0 1 273 285 978 2327
+14431 4 2 0 1 1717 2413 2245 2739
+14432 4 2 0 1 127 1205 1271 1049
+14433 4 2 0 1 760 758 797 2585
+14434 4 2 0 1 895 977 2421 2695
+14435 4 2 0 1 1542 2100 2372 2693
+14436 4 2 0 1 584 644 562 2658
+14437 4 2 0 1 1238 1418 1386 2711
+14438 4 2 0 1 1509 1283 1487 2435
+14439 4 2 0 1 1678 2001 2381 2703
+14440 4 2 0 1 429 2173 241 2752
+14441 4 2 0 1 991 980 153 2115
+14442 4 2 0 1 1659 2397 1982 2727
+14443 4 2 0 1 565 148 667 2131
+14444 4 2 0 1 1398 1504 1286 2419
+14445 4 2 0 1 1726 2425 2360 2638
+14446 4 2 0 1 698 721 2628 2692
+14447 4 2 0 1 1113 160 1136 2394
+14448 4 2 0 1 1209 1380 1379 2381
+14449 4 2 0 1 784 696 2217 2508
+14450 4 2 0 1 901 893 865 2137
+14451 4 2 0 1 2214 2413 1717 2739
+14452 4 2 0 1 711 729 695 2375
+14453 4 2 0 1 2030 2525 1649 2744
+14454 4 2 0 1 1712 2460 2121 2794
+14455 4 2 0 1 501 12 269 740
+14456 4 2 0 1 713 774 702 2529
+14457 4 2 0 1 2474 2619 1951 2833
+14458 4 2 0 1 2066 2341 1792 2404
+14459 4 2 0 1 584 562 610 2658
+14460 4 2 0 1 659 1252 631 2469
+14461 4 2 0 1 1126 1102 1087 2202
+14462 4 2 0 1 322 314 394 2397
+14463 4 2 0 1 1365 1426 1433 2770
+14464 4 2 0 1 1205 1049 1068 2339
+14465 4 2 0 1 1258 2326 1393 2825
+14466 4 2 0 1 325 330 402 2328
+14467 4 2 0 1 1519 1508 1273 2696
+14468 4 2 0 1 1145 1127 1083 1994
+14469 4 2 0 1 1699 2601 2130 2621
+14470 4 2 0 1 924 1001 989 2125
+14471 4 2 0 1 2117 1623 2551 2730
+14472 4 2 0 1 1642 2234 2787 2801
+14473 4 2 0 1 1373 1232 1332 2441
+14474 4 2 0 1 1557 2541 2228 2768
+14475 4 2 0 1 1497 2229 1482 2640
+14476 4 2 0 1 1538 2470 2285 2703
+14477 4 2 0 1 228 2645 1905 2815
+14478 4 2 0 1 581 557 279 58
+14479 4 2 0 1 186 2327 273 2803
+14480 4 2 0 1 1160 1161 1162 2384
+14481 4 2 0 1 2185 2200 1736 2632
+14482 4 2 0 1 1071 1103 1028 2414
+14483 4 2 0 1 770 841 782 2161
+14484 4 2 0 1 1985 2443 2377 2705
+14485 4 2 0 1 474 528 243 2606
+14486 4 2 0 1 1067 118 1273 1250
+14487 4 2 0 1 2130 2601 1789 2621
+14488 4 2 0 1 1027 2406 1096 2642
+14489 4 2 0 1 513 519 289 2157
+14490 4 2 0 1 796 817 752 2677
+14491 4 2 0 1 247 190 261 2533
+14492 4 2 0 1 586 588 619 2046
+14493 4 2 0 1 675 594 672 2672
+14494 4 2 0 1 1879 2200 2185 2632
+14495 4 2 0 1 2299 2374 1628 2499
+14496 4 2 0 1 221 421 378 2464
+14497 4 2 0 1 524 264 267 2209
+14498 4 2 0 1 1611 1970 2504 2796
+14499 4 2 0 1 435 1045 476 2424
+14500 4 2 0 1 2100 2577 1796 2643
+14501 4 2 0 1 1635 2460 2121 2566
+14502 4 2 0 1 2245 2413 1717 2707
+14503 4 2 0 1 1116 133 1056 1960
+14504 4 2 0 1 1252 1400 1344 2469
+14505 4 2 0 1 1027 1089 1091 2406
+14506 4 2 0 1 997 1507 1485 1501
+14507 4 2 0 1 683 596 542 2367
+14508 4 2 0 1 284 516 527 2338
+14509 4 2 0 1 582 480 470 562
+14510 4 2 0 1 278 958 34 954
+14511 4 2 0 1 590 2400 678 2610
+14512 4 2 0 1 739 699 735 2135
+14513 4 2 0 1 1906 2513 1769 2780
+14514 4 2 0 1 674 672 673 2180
+14515 4 2 0 1 1058 137 2179 2777
+14516 4 2 0 1 1114 1118 1166 2349
+14517 4 2 0 1 1866 2573 2047 2831
+14518 4 2 0 1 1692 2351 2665 2783
+14519 4 2 0 1 1703 2731 2160 2758
+14520 4 2 0 1 1704 2314 2059 2823
+14521 4 2 0 1 942 879 918 2514
+14522 4 2 0 1 439 190 2533 2819
+14523 4 2 0 1 287 30 276 1007
+14524 4 2 0 1 467 453 454 2445
+14525 4 2 0 1 1806 2219 2362 2680
+14526 4 2 0 1 504 512 489 2225
+14527 4 2 0 1 458 2674 2525 2744
+14528 4 2 0 1 966 879 942 2542
+14529 4 2 0 1 1670 2604 1940 2735
+14530 4 2 0 1 533 553 571 2197
+14531 4 2 0 1 1304 1313 2133 2788
+14532 4 2 0 1 1608 2373 2334 2829
+14533 4 2 0 1 2128 2606 2173 2818
+14534 4 2 0 1 2206 1618 2496 2782
+14535 4 2 0 1 1208 1168 1079 2582
+14536 4 2 0 1 2047 2573 1568 2831
+14537 4 2 0 1 1725 2481 2260 2569
+14538 4 2 0 1 1274 2303 1277 2586
+14539 4 2 0 1 496 528 253 2830
+14540 4 2 0 1 901 883 944 2287
+14541 4 2 0 1 440 439 2533 2819
+14542 4 2 0 1 606 2212 653 2283
+14543 4 2 0 1 1278 1261 1254 2117
+14544 4 2 0 1 648 133 132 2350
+14545 4 2 0 1 1504 1518 1487 2686
+14546 4 2 0 1 1153 1079 1034 2582
+14547 4 2 0 1 1777 2413 2707 2813
+14548 4 2 0 1 2010 1573 2473 2697
+14549 4 2 0 1 1748 2382 2158 2738
+14550 4 2 0 1 1456 2087 1495 2666
+14551 4 2 0 1 1067 1046 1273 2696
+14552 4 2 0 1 623 610 562 2658
+14553 4 2 0 1 325 232 405 2328
+14554 4 2 0 1 889 113 1382 908
+14555 4 2 0 1 588 2046 586 2560
+14556 4 2 0 1 943 965 928 2591
+14557 4 2 0 1 260 489 2422 2626
+14558 4 2 0 1 586 539 608 2761
+14559 4 2 0 1 1842 2716 2522 2804
+14560 4 2 0 1 29 885 276 970
+14561 4 2 0 1 904 865 893 2137
+14562 4 2 0 1 396 288 2657 2824
+14563 4 2 0 1 1106 1094 1047 2060
+14564 4 2 0 1 320 329 168 2399
+14565 4 2 0 1 886 937 913 2081
+14566 4 2 0 1 384 310 183 2647
+14567 4 2 0 1 890 864 951 2494
+14568 4 2 0 1 273 2327 978 2803
+14569 4 2 0 1 1725 2610 2400 2661
+14570 4 2 0 1 2106 2635 1718 2714
+14571 4 2 0 1 501 422 508 2217
+14572 4 2 0 1 642 586 2330 2560
+14573 4 2 0 1 1504 1487 2419 2686
+14574 4 2 0 1 1524 1505 719 2722
+14575 4 2 0 1 1249 1427 1456 2485
+14576 4 2 0 1 220 374 354 2683
+14577 4 2 0 1 592 588 679 2560
+14578 4 2 0 1 1996 1649 2674 2744
+14579 4 2 0 1 938 951 882 2495
+14580 4 2 0 1 1688 2458 1959 2719
+14581 4 2 0 1 1951 2619 2474 2810
+14582 4 2 0 1 1076 1074 1130 2405
+14583 4 2 0 1 233 326 432 2405
+14584 4 2 0 1 1649 2525 2066 2674
+14585 4 2 0 1 176 357 334 2268
+14586 4 2 0 1 225 369 2317 2679
+14587 4 2 0 1 1543 2578 2083 2660
+14588 4 2 0 1 2398 2688 1856 2809
+14589 4 2 0 1 1750 2398 2258 2688
+14590 4 2 0 1 873 1006 879 2542
+14591 4 2 0 1 1070 260 54 2422
+14592 4 2 0 1 1275 1441 1193 2615
+14593 4 2 0 1 1888 2300 2369 2806
+14594 4 2 0 1 327 289 200 2741
+14595 4 2 0 1 1914 2640 1270 2696
+14596 4 2 0 1 74 1476 1447 643
+14597 4 2 0 1 254 172 198 2456
+14598 4 2 0 1 1536 2215 2463 2743
+14599 4 2 0 1 2180 2246 1973 2697
+14600 4 2 0 1 1050 260 53 1070
+14601 4 2 0 1 1331 1301 1309 2740
+14602 4 2 0 1 1916 2753 1786 2802
+14603 4 2 0 1 739 699 2135 2722
+14604 4 2 0 1 264 466 267 2209
+14605 4 2 0 1 1431 645 82 561
+14606 4 2 0 1 943 878 965 2279
+14607 4 2 0 1 737 724 697 2087
+14608 4 2 0 1 1719 2082 2318 2609
+14609 4 2 0 1 133 625 569 2350
+14610 4 2 0 1 1645 2509 2039 2646
+14611 4 2 0 1 1745 2522 2179 2777
+14612 4 2 0 1 1080 47 1138 272
+14613 4 2 0 1 726 776 732 2628
+14614 4 2 0 1 473 382 214 2516
+14615 4 2 0 1 2314 2380 2059 2823
+14616 4 2 0 1 720 464 23 741
+14617 4 2 0 1 1323 1491 1499 2484
+14618 4 2 0 1 780 763 701 2436
+14619 4 2 0 1 2406 2642 1864 2768
+14620 4 2 0 1 1715 2478 1940 2789
+14621 4 2 0 1 1309 1302 1339 2668
+14622 4 2 0 1 1914 2229 2095 2581
+14623 4 2 0 1 498 290 294 2062
+14624 4 2 0 1 1168 1394 1262 2581
+14625 4 2 0 1 836 15 465 819
+14626 4 2 0 1 1177 1297 1306 2512
+14627 4 2 0 1 1996 2539 1665 2639
+14628 4 2 0 1 787 774 713 2529
+14629 4 2 0 1 1010 898 988 2070
+14630 4 2 0 1 2377 2643 2100 2837
+14631 4 2 0 1 1230 1425 1385 2721
+14632 4 2 0 1 260 1050 266 2626
+14633 4 2 0 1 467 425 453 2404
+14634 4 2 0 1 1959 2458 1746 2719
+14635 4 2 0 1 833 823 767 2649
+14636 4 2 0 1 1720 2222 2157 2779
+14637 4 2 0 1 1063 1070 54 2422
+14638 4 2 0 1 1000 922 859 2695
+14639 4 2 0 1 1494 1203 2135 2722
+14640 4 2 0 1 531 567 655 2192
+14641 4 2 0 1 1051 1156 131 2128
+14642 4 2 0 1 1648 2577 2100 2643
+14643 4 2 0 1 558 74 1447 643
+14644 4 2 0 1 1543 2083 2578 2726
+14645 4 2 0 1 1018 1084 1086 2594
+14646 4 2 0 1 1674 2457 2277 2645
+14647 4 2 0 1 1560 2413 2245 2707
+14648 4 2 0 1 429 2173 2606 2818
+14649 4 2 0 1 1412 1410 1421 2091
+14650 4 2 0 1 429 194 2173 2818
+14651 4 2 0 1 522 193 526 2477
+14652 4 2 0 1 463 505 171 2567
+14653 4 2 0 1 2336 2535 1979 2757
+14654 4 2 0 1 413 465 187 2106
+14655 4 2 0 1 222 329 320 2020
+14656 4 2 0 1 796 815 851 2596
+14657 4 2 0 1 552 612 572 2344
+14658 4 2 0 1 2146 1837 2625 2833
+14659 4 2 0 1 975 895 963 2421
+14660 4 2 0 1 2133 2302 1304 2788
+14661 4 2 0 1 890 910 864 2494
+14662 4 2 0 1 690 814 733 2045
+14663 4 2 0 1 1085 1018 1121 2191
+14664 4 2 0 1 1067 1273 1046 1250
+14665 4 2 0 1 684 666 2359 2569
+14666 4 2 0 1 1197 1277 1407 2442
+14667 4 2 0 1 1200 1414 1280 2053
+14668 4 2 0 1 510 497 515 2359
+14669 4 2 0 1 513 494 519 2355
+14670 4 2 0 1 1686 2336 2412 2792
+14671 4 2 0 1 1687 2155 2444 2542
+14672 4 2 0 1 1680 2433 2154 2706
+14673 4 2 0 1 1785 2304 2203 2665
+14674 4 2 0 1 2121 2460 1712 2566
+14675 4 2 0 1 1380 1379 2381 2493
+14676 4 2 0 1 639 544 551 2069
+14677 4 2 0 1 2372 2506 1830 2693
+14678 4 2 0 1 1461 2374 1458 2499
+14679 4 2 0 1 1653 2473 2272 2723
+14680 4 2 0 1 830 846 736 2277
+14681 4 2 0 1 443 372 256 2185
+14682 4 2 0 1 1717 2295 2707 2813
+14683 4 2 0 1 678 590 550 2400
+14684 4 2 0 1 1267 1255 1482 2021
+14685 4 2 0 1 582 562 470 2658
+14686 4 2 0 1 2074 1629 2332 2772
+14687 4 2 0 1 696 736 740 2217
+14688 4 2 0 1 336 2635 187 2714
+14689 4 2 0 1 1853 2578 2075 2660
+14690 4 2 0 1 634 676 633 2766
+14691 4 2 0 1 309 308 2269 2795
+14692 4 2 0 1 1387 1366 1226 2825
+14693 4 2 0 1 2018 2667 1926 2788
+14694 4 2 0 1 12 269 740 736
+14695 4 2 0 1 557 279 58 189
+14696 4 2 0 1 636 687 2587 2766
+14697 4 2 0 1 1481 1458 1279 2299
+14698 4 2 0 1 537 580 561 2294
+14699 4 2 0 1 1058 2179 1117 2522
+14700 4 2 0 1 225 355 369 2679
+14701 4 2 0 1 553 622 571 2197
+14702 4 2 0 1 2310 2521 1857 2712
+14703 4 2 0 1 452 366 398 2323
+14704 4 2 0 1 604 635 599 2786
+14705 4 2 0 1 1608 2334 2701 2829
+14706 4 2 0 1 260 438 54 2422
+14707 4 2 0 1 1442 1379 1312 2493
+14708 4 2 0 1 1667 2650 2061 2771
+14709 4 2 0 1 1258 1387 1391 2825
+14710 4 2 0 1 1026 1093 1090 2043
+14711 4 2 0 1 1982 2328 1655 2819
+14712 4 2 0 1 1381 1506 10 995
+14713 4 2 0 1 598 636 687 2587
+14714 4 2 0 1 2729 2787 2234 2801
+14715 4 2 0 1 10 1381 995 166
+14716 4 2 0 1 974 984 857 2365
+14717 4 2 0 1 1448 1371 1241 2263
+14718 4 2 0 1 337 321 316 2601
+14719 4 2 0 1 634 601 676 2321
+14720 4 2 0 1 552 621 608 2761
+14721 4 2 0 1 1162 1161 1018 2191
+14722 4 2 0 1 504 2225 489 2626
+14723 4 2 0 1 340 235 303 2605
+14724 4 2 0 1 280 284 527 2338
+14725 4 2 0 1 1804 2599 2295 2707
+14726 4 2 0 1 1449 1222 1391 2247
+14727 4 2 0 1 912 972 890 2101
+14728 4 2 0 1 1075 1108 1034 2095
+14729 4 2 0 1 1615 2162 2421 2695
+14730 4 2 0 1 423 429 194 2173
+14731 4 2 0 1 971 1459 104 886
+14732 4 2 0 1 639 551 595 2469
+14733 4 2 0 1 1432 1451 1190 2513
+14734 4 2 0 1 1728 2335 2244 2656
+14735 4 2 0 1 2215 2743 2010 2782
+14736 4 2 0 1 215 374 378 2366
+14737 4 2 0 1 1683 2572 2398 2798
+14738 4 2 0 1 926 964 1015 2248
+14739 4 2 0 1 1469 1489 1186 2620
+14740 4 2 0 1 903 891 864 2494
+14741 4 2 0 1 476 1045 1069 2424
+14742 4 2 0 1 1781 2670 2165 2742
+14743 4 2 0 1 1711 2594 1870 2769
+14744 4 2 0 1 134 1152 1056 1960
+14745 4 2 0 1 1242 1255 1455 2387
+14746 4 2 0 1 62 592 510 650
+14747 4 2 0 1 1063 54 438 2422
+14748 4 2 0 1 203 2407 390 2657
+14749 4 2 0 1 708 796 754 2596
+14750 4 2 0 1 1452 1320 1415 2720
+14751 4 2 0 1 715 745 771 2714
+14752 4 2 0 1 733 763 809 2378
+14753 4 2 0 1 1723 2488 2054 2789
+14754 4 2 0 1 1242 2387 1384 2763
+14755 4 2 0 1 642 586 557 2330
+14756 4 2 0 1 1465 2499 1481 2775
+14757 4 2 0 1 389 414 412 2641
+14758 4 2 0 1 878 2279 943 2591
+14759 4 2 0 1 1059 1159 1128 2140
+14760 4 2 0 1 924 870 1011 2553
+14761 4 2 0 1 1117 1058 137 2179
+14762 4 2 0 1 507 2422 506 2818
+14763 4 2 0 1 645 583 561 2132
+14764 4 2 0 1 840 769 828 2186
+14765 4 2 0 1 228 380 485 2645
+14766 4 2 0 1 1253 1433 1426 2751
+14767 4 2 0 1 1035 1129 1107 2170
+14768 4 2 0 1 637 544 593 2663
+14769 4 2 0 1 1717 2707 2413 2813
+14770 4 2 0 1 107 919 979 2462
+14771 4 2 0 1 1086 1171 1090 2518
+14772 4 2 0 1 220 339 359 2683
+14773 4 2 0 1 1246 1275 1444 2557
+14774 4 2 0 1 473 170 382 2092
+14775 4 2 0 1 1127 1032 1039 2255
+14776 4 2 0 1 1574 2024 2526 2811
+14777 4 2 0 1 1382 1402 1474 904
+14778 4 2 0 1 1410 1230 1396 2721
+14779 4 2 0 1 1913 2405 1681 2642
+14780 4 2 0 1 333 168 356 2399
+14781 4 2 0 1 365 509 350 2153
+14782 4 2 0 1 830 140 846 2277
+14783 4 2 0 1 1688 2719 1959 2810
+14784 4 2 0 1 1059 1021 1041 2346
+14785 4 2 0 1 952 939 883 2715
+14786 4 2 0 1 1555 2598 2014 2659
+14787 4 2 0 1 1067 1273 1066 2696
+14788 4 2 0 1 1136 160 159 2394
+14789 4 2 0 1 1408 716 1294 2666
+14790 4 2 0 1 107 1291 919 2462
+14791 4 2 0 1 131 132 1051 2128
+14792 4 2 0 1 747 745 819 2106
+14793 4 2 0 1 1515 1493 1502 2339
+14794 4 2 0 1 353 383 403 2525
+14795 4 2 0 1 890 434 910 2494
+14796 4 2 0 1 493 426 66 658
+14797 4 2 0 1 50 1146 1118 286
+14798 4 2 0 1 458 403 219 2525
+14799 4 2 0 1 433 277 195 2498
+14800 4 2 0 1 1688 2064 2458 2719
+14801 4 2 0 1 572 612 625 2344
+14802 4 2 0 1 774 742 702 2690
+14803 4 2 0 1 787 719 774 2722
+14804 4 2 0 1 710 775 730 2508
+14805 4 2 0 1 805 694 717 2307
+14806 4 2 0 1 1310 1322 1188 2284
+14807 4 2 0 1 1543 2412 2336 2792
+14808 4 2 0 1 538 609 553 2408
+14809 4 2 0 1 1301 1212 1309 2668
+14810 4 2 0 1 317 339 220 2156
+14811 4 2 0 1 228 518 172 2645
+14812 4 2 0 1 1061 1104 2522 2804
+14813 4 2 0 1 951 2494 864 2495
+14814 4 2 0 1 928 983 895 2162
+14815 4 2 0 1 1306 1377 1219 2512
+14816 4 2 0 1 533 686 656 2390
+14817 4 2 0 1 902 941 882 2495
+14818 4 2 0 1 866 948 913 2233
+14819 4 2 0 1 257 505 280 2692
+14820 4 2 0 1 575 198 668 2456
+14821 4 2 0 1 336 508 393 2635
+14822 4 2 0 1 375 345 227 2468
+14823 4 2 0 1 546 542 665 2725
+14824 4 2 0 1 196 741 257 2692
+14825 4 2 0 1 458 403 2525 2674
+14826 4 2 0 1 1557 2228 2613 2768
+14827 4 2 0 1 1416 1268 1236 2289
+14828 4 2 0 1 192 446 1114 49
+14829 4 2 0 1 1405 820 1294 89
+14830 4 2 0 1 1435 1179 1404 2767
+14831 4 2 0 1 1552 2029 2779 2799
+14832 4 2 0 1 249 2821 449 2826
+14833 4 2 0 1 242 514 525 2560
+14834 4 2 0 1 2029 1709 2519 2799
+14835 4 2 0 1 1461 1415 1395 2720
+14836 4 2 0 1 323 181 341 2559
+14837 4 2 0 1 1040 2406 1091 2543
+14838 4 2 0 1 1257 1289 1430 2812
+14839 4 2 0 1 2336 2412 1543 2757
+14840 4 2 0 1 592 525 61 514
+14841 4 2 0 1 1394 1282 1472 2581
+14842 4 2 0 1 768 762 824 2034
+14843 4 2 0 1 1683 2527 2295 2798
+14844 4 2 0 1 1340 1374 1217 2579
+14845 4 2 0 1 1660 2368 2238 2505
+14846 4 2 0 1 1329 2453 1245 2737
+14847 4 2 0 1 1746 2458 2064 2719
+14848 4 2 0 1 2319 2483 1875 2689
+14849 4 2 0 1 1307 1498 1473 2241
+14850 4 2 0 1 1655 2727 1982 2819
+14851 4 2 0 1 1316 1301 1186 2740
+14852 4 2 0 1 186 273 251 2803
+14853 4 2 0 1 432 1913 391 2713
+14854 4 2 0 1 1753 2373 2110 2829
+14855 4 2 0 1 295 484 298 2446
+14856 4 2 0 1 213 222 320 2020
+14857 4 2 0 1 1553 2206 2496 2782
+14858 4 2 0 1 455 371 397 2791
+14859 4 2 0 1 731 723 699 2135
+14860 4 2 0 1 145 144 827 2638
+14861 4 2 0 1 903 910 244 2494
+14862 4 2 0 1 1522 1515 1492 2264
+14863 4 2 0 1 1057 161 160 1929
+14864 4 2 0 1 174 275 577 2830
+14865 4 2 0 1 1239 1353 1389 2322
+14866 4 2 0 1 1020 1123 1092 2491
+14867 4 2 0 1 205 366 340 2323
+14868 4 2 0 1 1041 1097 1110 2346
+14869 4 2 0 1 450 197 278 2576
+14870 4 2 0 1 881 861 984 2589
+14871 4 2 0 1 196 734 741 2692
+14872 4 2 0 1 1258 1457 1393 2326
+14873 4 2 0 1 1367 1452 1436 2462
+14874 4 2 0 1 237 365 318 2409
+14875 4 2 0 1 467 191 468 2144
+14876 4 2 0 1 1403 1245 1178 2737
+14877 4 2 0 1 263 13 501 740
+14878 4 2 0 1 966 922 873 2542
+14879 4 2 0 1 1122 1175 1124 2138
+14880 4 2 0 1 159 891 158 2049
+14881 4 2 0 1 513 494 2355 2824
+14882 4 2 0 1 1004 969 961 2588
+14883 4 2 0 1 1489 1352 1186 2094
+14884 4 2 0 1 584 610 541 2530
+14885 4 2 0 1 1450 1190 1467 2631
+14886 4 2 0 1 586 619 539 2046
+14887 4 2 0 1 1139 1202 122 1079
+14888 4 2 0 1 1082 1160 1163 2384
+14889 4 2 0 1 296 289 523 2222
+14890 4 2 0 1 136 1170 1141 2777
+14891 4 2 0 1 1636 2326 2247 2825
+14892 4 2 0 1 1242 1455 1384 2387
+14893 4 2 0 1 813 777 855 2316
+14894 4 2 0 1 1373 1332 1392 2441
+14895 4 2 0 1 612 560 617 2236
+14896 4 2 0 1 313 307 292 2353
+14897 4 2 0 1 228 380 2645 2815
+14898 4 2 0 1 993 985 979 2462
+14899 4 2 0 1 713 702 768 2529
+14900 4 2 0 1 1509 2435 1487 2686
+14901 4 2 0 1 813 795 850 2267
+14902 4 2 0 1 1461 2499 1415 2720
+14903 4 2 0 1 296 2222 523 2624
+14904 4 2 0 1 592 62 510 514
+14905 4 2 0 1 1716 1952 2821 2826
+14906 4 2 0 1 1169 1019 1143 2119
+14907 4 2 0 1 958 918 1006 2576
+14908 4 2 0 1 1445 1457 2326 2751
+14909 4 2 0 1 177 229 379 2791
+14910 4 2 0 1 1667 2428 2125 2778
+14911 4 2 0 1 203 385 390 2407
+14912 4 2 0 1 641 543 597 2256
+14913 4 2 0 1 826 830 722 2732
+14914 4 2 0 1 1125 1039 1032 2255
+14915 4 2 0 1 1048 1017 1144 2458
+14916 4 2 0 1 1307 1473 1510 2241
+14917 4 2 0 1 1562 2380 2286 2745
+14918 4 2 0 1 1664 2035 2259 2734
+14919 4 2 0 1 1575 2039 2509 2646
+14920 4 2 0 1 666 549 543 2569
+14921 4 2 0 1 1413 1229 1420 2667
+14922 4 2 0 1 1079 1168 1075 2582
+14923 4 2 0 1 1363 1235 1364 2342
+14924 4 2 0 1 895 859 977 2695
+14925 4 2 0 1 1359 1326 1375 2467
+14926 4 2 0 1 606 664 653 2212
+14927 4 2 0 1 1441 1251 1383 2835
+14928 4 2 0 1 343 176 334 2268
+14929 4 2 0 1 2315 2792 1964 2797
+14930 4 2 0 1 142 788 727 2120
+14931 4 2 0 1 240 251 265 2612
+14932 4 2 0 1 1618 2496 2010 2697
+14933 4 2 0 1 179 367 427 2097
+14934 4 2 0 1 1205 1068 1502 2339
+14935 4 2 0 1 1047 1020 1092 2491
+14936 4 2 0 1 1970 2583 2504 2796
+14937 4 2 0 1 828 769 842 2186
+14938 4 2 0 1 355 225 226 2679
+14939 4 2 0 1 2062 2412 1699 2805
+14940 4 2 0 1 67 470 562 644
+14941 4 2 0 1 1379 1218 1312 2493
+14942 4 2 0 1 1256 1483 1453 2146
+14943 4 2 0 1 651 1200 77 591
+14944 4 2 0 1 241 429 423 2173
+14945 4 2 0 1 1639 2463 2215 2743
+14946 4 2 0 1 1996 2639 1665 2671
+14947 4 2 0 1 1558 2643 2377 2837
+14948 4 2 0 1 376 471 248 2539
+14949 4 2 0 1 836 231 16 837
+14950 4 2 0 1 1068 1049 1025 2339
+14951 4 2 0 1 511 505 463 2567
+14952 4 2 0 1 890 37 434 173
+14953 4 2 0 1 1304 1313 1212 2133
+14954 4 2 0 1 1524 98 719 1505
+14955 4 2 0 1 471 245 453 2445
+14956 4 2 0 1 384 331 310 2647
+14957 4 2 0 1 1114 192 49 1118
+14958 4 2 0 1 1272 1204 1279 2299
+14959 4 2 0 1 641 547 543 2256
+14960 4 2 0 1 249 367 179 2821
+14961 4 2 0 1 546 620 683 2367
+14962 4 2 0 1 1777 2707 2295 2813
+14963 4 2 0 1 1370 1323 1311 2484
+14964 4 2 0 1 1716 2821 2641 2826
+14965 4 2 0 1 752 798 799 2677
+14966 4 2 0 1 448 2086 250 2821
+14967 4 2 0 1 2075 2578 1543 2660
+14968 4 2 0 1 716 1408 1294 88
+14969 4 2 0 1 539 601 603 2761
+14970 4 2 0 1 1012 978 954 2327
+14971 4 2 0 1 1201 1450 790 2171
+14972 4 2 0 1 2124 2450 1655 2727
+14973 4 2 0 1 1054 1066 1157 2278
+14974 4 2 0 1 287 1007 920 479
+14975 4 2 0 1 2119 2570 1575 2817
+14976 4 2 0 1 606 632 559 2283
+14977 4 2 0 1 688 596 661 2246
+14978 4 2 0 1 1377 1325 1219 2325
+14979 4 2 0 1 1746 2719 2064 2814
+14980 4 2 0 1 237 520 444 2409
+14981 4 2 0 1 858 961 925 2588
+14982 4 2 0 1 1655 2533 2124 2819
+14983 4 2 0 1 617 556 607 2236
+14984 4 2 0 1 380 300 2776 2815
+14985 4 2 0 1 228 172 2457 2645
+14986 4 2 0 1 712 786 732 2403
+14987 4 2 0 1 1435 1365 1179 2275
+14988 4 2 0 1 587 546 591 2053
+14989 4 2 0 1 1023 1067 1066 2696
+14990 4 2 0 1 1024 1062 1111 2488
+14991 4 2 0 1 1056 133 134 1960
+14992 4 2 0 1 701 771 745 2436
+14993 4 2 0 1 1197 1422 1261 2551
+14994 4 2 0 1 2174 2598 1555 2787
+14995 4 2 0 1 257 196 24 741
+14996 4 2 0 1 417 396 390 2657
+14997 4 2 0 1 230 511 463 2567
+14998 4 2 0 1 378 374 359 2683
+14999 4 2 0 1 1459 1211 104 886
+15000 4 2 0 1 626 684 650 2359
+15001 4 2 0 1 348 439 402 2819
+15002 4 2 0 1 1174 1128 1095 2274
+15003 4 2 0 1 1105 1100 2543 2709
+15004 4 2 0 1 1381 1506 995 166
+15005 4 2 0 1 947 969 1004 2280
+15006 4 2 0 1 1005 944 883 2287
+15007 4 2 0 1 557 59 642 189
+15008 4 2 0 1 430 355 226 2679
+15009 4 2 0 1 903 244 40 996
+15010 4 2 0 1 497 431 515 2359
+15011 4 2 0 1 2064 2709 2543 2814
+15012 4 2 0 1 308 352 309 2269
+15013 4 2 0 1 1443 1509 1487 2686
+15014 4 2 0 1 59 185 642 189
+15015 4 2 0 1 473 392 424 2516
+15016 4 2 0 1 513 2157 288 2824
+15017 4 2 0 1 200 291 301 2741
+15018 4 2 0 1 138 1117 137 2179
+15019 4 2 0 1 348 2397 236 2819
+15020 4 2 0 1 1095 1128 1140 2274
+15021 4 2 0 1 5 268 670 131
+15022 4 2 0 1 868 943 928 2591
+15023 4 2 0 1 994 875 920 2803
+15024 4 2 0 1 1670 2554 2173 2752
+15025 4 2 0 1 821 720 464 22
+15026 4 2 0 1 1554 2592 2152 2644
+15027 4 2 0 1 440 439 190 2533
+15028 4 2 0 1 1708 2223 2178 2730
+15029 4 2 0 1 250 448 483 2086
+15030 4 2 0 1 237 364 180 2826
+15031 4 2 0 1 597 662 674 2672
+15032 4 2 0 1 400 2196 440 2533
+15033 4 2 0 1 1014 884 984 2589
+15034 4 2 0 1 2277 2457 172 2645
+15035 4 2 0 1 529 656 560 2169
+15036 4 2 0 1 276 30 970 1007
+15037 4 2 0 1 2165 2644 1781 2742
+15038 4 2 0 1 1494 1524 1203 2722
+15039 4 2 0 1 582 480 562 68
+15040 4 2 0 1 648 625 133 2350
+15041 4 2 0 1 1849 2628 2338 2692
+15042 4 2 0 1 1556 2664 2078 2765
+15043 4 2 0 1 262 284 511 2685
+15044 4 2 0 1 283 1167 45 1130
+15045 4 2 0 1 1286 1522 1513 2419
+15046 4 2 0 1 635 647 567 2786
+15047 4 2 0 1 1011 874 948 2553
+15048 4 2 0 1 18 468 789 831
+15049 4 2 0 1 1399 1426 1228 2770
+15050 4 2 0 1 1233 1443 1368 2507
+15051 4 2 0 1 233 435 404 2405
+15052 4 2 0 1 134 135 1152 2410
+15053 4 2 0 1 551 589 595 2469
+15054 4 2 0 1 691 692 804 2288
+15055 4 2 0 1 206 303 304 2614
+15056 4 2 0 1 159 160 956 2561
+15057 4 2 0 1 1608 2701 2118 2829
+15058 4 2 0 1 1422 1254 1261 2551
+15059 4 2 0 1 351 475 258 2333
+15060 4 2 0 1 2639 2647 1859 2671
+15061 4 2 0 1 2048 2466 1703 2758
+15062 4 2 0 1 1540 2756 2059 2827
+15063 4 2 0 1 1697 2657 2157 2824
+15064 4 2 0 1 890 938 912 2101
+15065 4 2 0 1 2285 2470 1636 2703
+15066 4 2 0 1 1235 1184 1364 2342
+15067 4 2 0 1 1200 1289 651 77
+15068 4 2 0 1 266 1132 52 517
+15069 4 2 0 1 288 513 289 2157
+15070 4 2 0 1 2215 1639 2743 2782
+15071 4 2 0 1 820 716 1294 89
+15072 4 2 0 1 1614 2764 2709 2814
+15073 4 2 0 1 955 108 979 1436
+15074 4 2 0 1 972 986 271 2576
+15075 4 2 0 1 84 1490 580 576
+15076 4 2 0 1 814 764 733 2045
+15077 4 2 0 1 712 732 776 2403
+15078 4 2 0 1 985 967 923 2057
+15079 4 2 0 1 1427 1406 1456 2358
+15080 4 2 0 1 322 182 314 2211
+15081 4 2 0 1 1472 1180 1497 2229
+15082 4 2 0 1 328 318 365 2669
+15083 4 2 0 1 1378 1240 1435 2767
+15084 4 2 0 1 2525 2674 1649 2744
+15085 4 2 0 1 2397 2727 2124 2819
+15086 4 2 0 1 714 770 782 2161
+15087 4 2 0 1 1457 1380 1393 2381
+15088 4 2 0 1 1104 1148 2522 2733
+15089 4 2 0 1 1345 1216 1330 2655
+15090 4 2 0 1 1296 1304 1462 2302
+15091 4 2 0 1 873 877 1012 2155
+15092 4 2 0 1 192 50 1118 286
+15093 4 2 0 1 1105 1151 1057 2709
+15094 4 2 0 1 947 875 969 2280
+15095 4 2 0 1 650 684 666 2359
+15096 4 2 0 1 1317 1213 1338 2788
+15097 4 2 0 1 2245 2550 1633 2739
+15098 4 2 0 1 263 14 715 2714
+15099 4 2 0 1 1456 1488 1495 2087
+15100 4 2 0 1 1370 1223 1310 2475
+15101 4 2 0 1 108 955 1390 1436
+15102 4 2 0 1 1105 2416 1151 2709
+15103 4 2 0 1 13 263 715 740
+15104 4 2 0 1 2017 2776 1778 2815
+15105 4 2 0 1 1114 1166 1172 2349
+15106 4 2 0 1 920 479 32 273
+15107 4 2 0 1 548 639 665 2725
+15108 4 2 0 1 956 896 902 2561
+15109 4 2 0 1 1741 2800 2479 2839
+15110 4 2 0 1 2592 2644 1554 2742
+15111 4 2 0 1 1200 76 680 1207
+15112 4 2 0 1 1657 2590 2080 2838
+15113 4 2 0 1 400 405 440 2196
+15114 4 2 0 1 731 779 728 2055
+15115 4 2 0 1 971 1008 105 2775
+15116 4 2 0 1 614 550 590 2400
+15117 4 2 0 1 1213 1413 1338 2667
+15118 4 2 0 1 273 186 285 2327
+15119 4 2 0 1 503 522 905 2477
+15120 4 2 0 1 1025 1049 1112 2339
+15121 4 2 0 1 972 918 986 2576
+15122 4 2 0 1 420 462 222 2438
+15123 4 2 0 1 1397 1228 1365 2770
+15124 4 2 0 1 1249 1456 1495 2666
+15125 4 2 0 1 1050 260 266 53
+15126 4 2 0 1 999 1013 968 2165
+15127 4 2 0 1 1746 2064 2543 2814
+15128 4 2 0 1 772 700 744 2041
+15129 4 2 0 1 1738 2423 2176 2836
+15130 4 2 0 1 739 1524 719 2722
+15131 4 2 0 1 151 152 2109 2523
+15132 4 2 0 1 1434 1384 1243 2763
+15133 4 2 0 1 1519 1256 1516 2278
+15134 4 2 0 1 1490 1198 84 580
+15135 4 2 0 1 920 479 273 2803
+15136 4 2 0 1 1315 1221 1376 2531
+15137 4 2 0 1 669 1513 1522 2419
+15138 4 2 0 1 1287 1196 1292 2178
+15139 4 2 0 1 738 716 1408 2666
+15140 4 2 0 1 1008 1464 105 2775
+15141 4 2 0 1 302 498 494 2262
+15142 4 2 0 1 1157 1381 166 2278
+15143 4 2 0 1 790 756 754 2171
+15144 4 2 0 1 24 196 734 741
+15145 4 2 0 1 1149 2594 1161 2769
+15146 4 2 0 1 813 753 795 2267
+15147 4 2 0 1 193 522 524 2477
+15148 4 2 0 1 27 522 909 905
+15149 4 2 0 1 1629 2502 2332 2772
+15150 4 2 0 1 1427 1470 1241 2485
+15151 4 2 0 1 1781 2644 2592 2742
+15152 4 2 0 1 669 139 566 2419
+15153 4 2 0 1 470 67 426 644
+15154 4 2 0 1 262 466 264 2685
+15155 4 2 0 1 1705 2226 2627 2760
+15156 4 2 0 1 613 618 559 2536
+15157 4 2 0 1 596 673 661 2246
+15158 4 2 0 1 1678 2703 2381 2704
+15159 4 2 0 1 645 589 583 2132
+15160 4 2 0 1 993 919 874 2462
+15161 4 2 0 1 611 561 583 2294
+15162 4 2 0 1 285 278 34 954
+15163 4 2 0 1 1735 2435 2500 2686
+15164 4 2 0 1 565 147 148 2131
+15165 4 2 0 1 725 825 761 2451
+15166 4 2 0 1 5 268 174 670
+15167 4 2 0 1 449 249 250 2821
+15168 4 2 0 1 66 426 644 658
+15169 4 2 0 1 815 803 829 2684
+15170 4 2 0 1 1274 1182 1277 2303
+15171 4 2 0 1 281 195 793 2498
+15172 4 2 0 1 1407 1277 1248 2442
+15173 4 2 0 1 1079 1075 1034 2582
+15174 4 2 0 1 1670 2147 2604 2735
+15175 4 2 0 1 474 486 253 2694
+15176 4 2 0 1 1128 1174 1021 2274
+15177 4 2 0 1 298 209 447 2446
+15178 4 2 0 1 1048 1105 1100 2543
+15179 4 2 0 1 888 931 857 2129
+15180 4 2 0 1 1196 1266 1292 2178
+15181 4 2 0 1 281 191 793 19
+15182 4 2 0 1 408 469 2662 2824
+15183 4 2 0 1 1292 2178 1266 2563
+15184 4 2 0 1 1699 2621 2130 2805
+15185 4 2 0 1 1565 2729 2234 2801
+15186 4 2 0 1 756 750 806 2631
+15187 4 2 0 1 380 2776 2017 2815
+15188 4 2 0 1 1996 2647 2639 2671
+15189 4 2 0 1 435 44 1045 2405
+15190 4 2 0 1 566 535 578 2419
+15191 4 2 0 1 252 223 192 2349
+15192 4 2 0 1 855 777 703 2316
+15193 4 2 0 1 231 836 16 465
+15194 4 2 0 1 180 249 449 2826
+15195 4 2 0 1 1111 1042 1098 2488
+15196 4 2 0 1 623 554 610 2530
+15197 4 2 0 1 1463 1181 1287 2785
+15198 4 2 0 1 2252 2651 1671 2831
+15199 4 2 0 1 655 600 637 2663
+15200 4 2 0 1 1104 1148 1058 2522
+15201 4 2 0 1 999 968 899 2165
+15202 4 2 0 1 295 298 447 2446
+15203 4 2 0 1 287 1007 479 31
+15204 4 2 0 1 1152 1141 1094 2410
+15205 4 2 0 1 187 2106 459 2714
+15206 4 2 0 1 2078 2664 1678 2765
+15207 4 2 0 1 143 142 727 2120
+15208 4 2 0 1 169 490 304 2691
+15209 4 2 0 1 487 422 269 2277
+15210 4 2 0 1 659 80 631 1252
+15211 4 2 0 1 759 798 817 2677
+15212 4 2 0 1 1338 1413 1420 2667
+15213 4 2 0 1 450 225 271 2576
+15214 4 2 0 1 1686 2622 2336 2792
+15215 4 2 0 1 2126 2548 1883 2828
+15216 4 2 0 1 504 424 512 2225
+15217 4 2 0 1 1361 1418 1219 2711
+15218 4 2 0 1 653 664 144 2212
+15219 4 2 0 1 439 236 190 2819
+15220 4 2 0 1 733 823 808 2253
+15221 4 2 0 1 1304 1317 1313 2788
+15222 4 2 0 1 1854 2598 2174 2787
+15223 4 2 0 1 616 555 677 2281
+15224 4 2 0 1 1274 1493 1182 2303
+15225 4 2 0 1 657 627 651 2812
+15226 4 2 0 1 1201 1276 1450 2171
+15227 4 2 0 1 1061 1043 1104 2804
+15228 4 2 0 1 261 480 470 2658
+15229 4 2 0 1 1562 2286 2595 2745
+15230 4 2 0 1 446 252 192 2349
+15231 4 2 0 1 793 195 834 2498
+15232 4 2 0 1 290 368 199 2448
+15233 4 2 0 1 1233 1368 1355 2507
+15234 4 2 0 1 388 391 418 2713
+15235 4 2 0 1 604 554 613 2536
+15236 4 2 0 1 909 862 905 2477
+15237 4 2 0 1 217 405 400 2196
+15238 4 2 0 1 912 942 918 2514
+15239 4 2 0 1 1509 1288 1283 2435
+15240 4 2 0 1 151 897 152 2523
+15241 4 2 0 1 775 765 718 2555
+15242 4 2 0 1 399 428 406 2472
+15243 4 2 0 1 861 968 1014 2589
+15244 4 2 0 1 95 794 835 1264
+15245 4 2 0 1 1450 832 93 790
+15246 4 2 0 1 629 146 147 2497
+15247 4 2 0 1 1302 1313 1315 2531
+15248 4 2 0 1 1459 1465 1481 2775
+15249 4 2 0 1 1707 2619 2474 2833
+15250 4 2 0 1 934 887 946 2259
+15251 4 2 0 1 824 725 810 2451
+15252 4 2 0 1 11 846 269 736
+15253 4 2 0 1 670 174 577 2830
+15254 4 2 0 1 384 183 350 2639
+15255 4 2 0 1 1928 2651 2252 2820
+15256 4 2 0 1 1499 1428 1311 2484
+15257 4 2 0 1 738 1408 1495 2666
+15258 4 2 0 1 1424 631 1252 2469
+15259 4 2 0 1 963 977 927 2421
+15260 4 2 0 1 911 943 868 2591
+15261 4 2 0 1 1210 95 835 1264
+15262 4 2 0 1 532 604 559 2536
+15263 4 2 0 1 1249 1294 2485 2666
+15264 4 2 0 1 272 1138 446 48
+15265 4 2 0 1 2124 2727 1655 2819
+15266 4 2 0 1 14 263 459 2714
+15267 4 2 0 1 1046 1250 1273 2696
+15268 4 2 0 1 319 375 211 2571
+15269 4 2 0 1 436 454 245 2445
+15270 4 2 0 1 1317 1304 1213 2788
+15271 4 2 0 1 375 227 407 2468
+15272 4 2 0 1 1196 1254 1268 2730
+15273 4 2 0 1 461 240 265 2612
+15274 4 2 0 1 332 201 292 2298
+15275 4 2 0 1 2381 2493 1678 2704
+15276 4 2 0 1 1054 166 165 2278
+15277 4 2 0 1 1263 1505 1524 2722
+15278 4 2 0 1 1040 1027 1091 2406
+15279 4 2 0 1 1284 1269 1526 2822
+15280 4 2 0 1 738 1408 716 88
+15281 4 2 0 1 120 1168 1394 1262
+15282 4 2 0 1 838 832 1265 2631
+15283 4 2 0 1 561 624 537 2294
+15284 4 2 0 1 1007 920 479 31
+15285 4 2 0 1 241 423 455 2554
+15286 4 2 0 1 1286 669 578 2419
+15287 4 2 0 1 991 945 935 2461
+15288 4 2 0 1 2554 2752 1670 2791
+15289 4 2 0 1 660 616 632 2283
+15290 4 2 0 1 889 865 908 2715
+15291 4 2 0 1 202 300 383 2776
+15292 4 2 0 1 277 821 464 22
+15293 4 2 0 1 486 481 189 2330
+15294 4 2 0 1 2130 2621 1577 2805
+15295 4 2 0 1 1076 1080 1035 2713
+15296 4 2 0 1 15 459 465 819
+15297 4 2 0 1 228 172 259 2457
+15298 4 2 0 1 305 490 169 2691
+15299 4 2 0 1 258 409 208 2574
+15300 4 2 0 1 237 412 364 2641
+15301 4 2 0 1 1168 1262 1131 2581
+15302 4 2 0 1 581 577 57 275
+15303 4 2 0 1 1188 1322 1303 2284
+15304 4 2 0 1 1030 1171 1084 2603
+15305 4 2 0 1 510 515 63 650
+15306 4 2 0 1 1403 1401 1247 2201
+15307 4 2 0 1 435 476 1045 43
+15308 4 2 0 1 827 144 841 2638
+15309 4 2 0 1 1436 1452 1291 2462
+15310 4 2 0 1 217 2196 400 2661
+15311 4 2 0 1 1370 1299 1215 2475
+15312 4 2 0 1 804 800 753 2288
+15313 4 2 0 1 172 518 422 2277
+15314 4 2 0 1 448 249 179 2821
+15315 4 2 0 1 1120 1020 1047 2491
+15316 4 2 0 1 266 504 489 2626
+15317 4 2 0 1 191 789 793 19
+15318 4 2 0 1 1284 1260 1512 2822
+15319 4 2 0 1 198 140 487 3
+15320 4 2 0 1 293 498 302 2262
+15321 4 2 0 1 32 920 273 978
+15322 4 2 0 1 313 212 307 2353
+15323 4 2 0 1 1326 1215 1375 2467
+15324 4 2 0 1 912 869 942 2514
+15325 4 2 0 1 255 437 492 2297
+15326 4 2 0 1 1301 1316 1334 2420
+15327 4 2 0 1 1310 1299 1370 2475
+15328 4 2 0 1 1350 1470 1405 2379
+15329 4 2 0 1 283 1167 1130 432
+15330 4 2 0 1 1025 2339 1112 2804
+15331 4 2 0 1 332 292 291 2298
+15332 4 2 0 1 1396 1230 1385 2721
+15333 4 2 0 1 1382 114 904 908
+15334 4 2 0 1 1523 1515 1283 2264
+15335 4 2 0 1 726 152 842 2109
+15336 4 2 0 1 1274 1206 1281 2586
+15337 4 2 0 1 368 344 199 2448
+15338 4 2 0 1 1403 1178 1401 2201
+15339 4 2 0 1 1386 1361 1191 2711
+15340 4 2 0 1 261 254 441 2456
+15341 4 2 0 1 273 978 920 2803
+15342 4 2 0 1 459 187 465 2106
+15343 4 2 0 1 934 988 960 2734
+15344 4 2 0 1 932 869 882 2251
+15345 4 2 0 1 739 1524 98 719
+15346 4 2 0 1 726 151 152 2109
+15347 4 2 0 1 2651 2820 1818 2831
+15348 4 2 0 1 289 296 200 2222
+15349 4 2 0 1 656 529 646 2169
+15350 4 2 0 1 958 278 34 197
+15351 4 2 0 1 754 796 851 2596
+15352 4 2 0 1 1651 2664 2493 2704
+15353 4 2 0 1 630 658 590 2610
+15354 4 2 0 1 1168 1208 121 1394
+15355 4 2 0 1 630 590 678 2610
+15356 4 2 0 1 475 351 188 2333
+15357 4 2 0 1 1454 1246 1444 2205
+15358 4 2 0 1 1162 1018 1085 2191
+15359 4 2 0 1 215 411 360 2366
+15360 4 2 0 1 184 492 437 2297
+15361 4 2 0 1 260 506 438 2422
+15362 4 2 0 1 823 689 808 2253
+15363 4 2 0 1 1486 1270 1189 2640
+15364 4 2 0 1 976 953 151 2523
+15365 4 2 0 1 575 441 198 2456
+15366 4 2 0 1 958 197 986 2576
+15367 4 2 0 1 2466 2758 2048 2836
+15368 4 2 0 1 525 679 185 2560
+15369 4 2 0 1 320 168 333 2399
+15370 4 2 0 1 664 143 144 2212
+15371 4 2 0 1 253 275 174 2830
+15372 4 2 0 1 268 496 174 2830
+15373 4 2 0 1 322 484 182 2211
+15374 4 2 0 1 872 921 965 2279
+15375 4 2 0 1 1062 1024 1051 2503
+15376 4 2 0 1 2395 2554 1670 2791
+15377 4 2 0 1 142 2120 143 2687
+15378 4 2 0 1 345 363 358 2489
+15379 4 2 0 1 1503 1275 1183 2557
+15380 4 2 0 1 730 788 722 2732
+15381 4 2 0 1 705 707 807 2501
+15382 4 2 0 1 827 841 770 2638
+15383 4 2 0 1 249 448 250 2821
+15384 4 2 0 1 1151 1095 1140 2416
+15385 4 2 0 1 1061 1058 1117 2522
+15386 4 2 0 1 732 698 721 2628
+15387 4 2 0 1 1132 1050 266 52
+15388 4 2 0 1 918 958 986 2576
+15389 4 2 0 1 959 109 955 1390
+15390 4 2 0 1 180 364 249 2826
+15391 4 2 0 1 1450 1265 832 2631
+15392 4 2 0 1 895 977 963 2421
+15393 4 2 0 1 1521 1520 1507 2184
+15394 4 2 0 1 1343 1329 1245 2737
+15395 4 2 0 1 1134 1124 1090 2518
+15396 4 2 0 1 859 922 977 2695
+15397 4 2 0 1 1331 1469 1186 2740
+15398 4 2 0 1 1160 1162 1163 2384
+15399 4 2 0 1 14 819 715 2714
+15400 4 2 0 1 1149 1084 1161 2594
+15401 4 2 0 1 398 366 205 2323
+15402 4 2 0 1 198 668 140 3
+15403 4 2 0 1 42 488 1069 1065
+15404 4 2 0 1 1504 1487 1522 2419
+15405 4 2 0 1 435 432 1130 2405
+15406 4 2 0 1 1445 1433 1457 2751
+15407 4 2 0 1 1982 2727 2397 2819
+15408 4 2 0 1 409 295 208 2574
+15409 4 2 0 1 185 525 60 679
+15410 4 2 0 1 1298 1339 1187 2383
+15411 4 2 0 1 1405 820 90 839
+15412 4 2 0 1 385 203 312 2407
+15413 4 2 0 1 99 739 735 1203
+15414 4 2 0 1 1258 1445 1457 2326
+15415 4 2 0 1 460 2610 416 2661
+15416 4 2 0 1 905 862 892 2477
+15417 4 2 0 1 1329 1351 1245 2453
+15418 4 2 0 1 476 1069 1045 43
+15419 4 2 0 1 961 969 925 2588
+15420 4 2 0 1 262 264 284 2685
+15421 4 2 0 1 1300 1358 1220 2301
+15422 4 2 0 1 1461 1465 1415 2499
+15423 4 2 0 1 1468 1487 1518 2686
+15424 4 2 0 1 561 83 1423 580
+15425 4 2 0 1 434 244 910 2494
+15426 4 2 0 1 1033 1166 1038 2564
+15427 4 2 0 1 956 160 896 2561
+15428 4 2 0 1 113 1224 889 1382
+15429 4 2 0 1 602 636 598 2587
+15430 4 2 0 1 1486 1519 1273 2696
+15431 4 2 0 1 903 864 910 2494
+15432 4 2 0 1 1273 1250 1270 2696
+15433 4 2 0 1 1350 1405 90 839
+15434 4 2 0 1 1058 1170 137 2777
+15435 4 2 0 1 1200 76 591 680
+15436 4 2 0 1 1193 1239 1389 2322
+15437 4 2 0 1 1406 1234 1392 2358
+15438 4 2 0 1 1272 1279 1458 2299
+15439 4 2 0 1 515 626 63 650
+15440 4 2 0 1 1251 1441 1244 2615
+15441 4 2 0 1 1423 83 1198 580
+15442 4 2 0 1 784 730 696 2508
+15443 4 2 0 1 358 363 178 2489
+15444 4 2 0 1 791 732 721 2628
+15445 4 2 0 1 458 370 331 2744
+15446 4 2 0 1 306 311 324 2190
+15447 4 2 0 1 630 493 658 2610
+15448 4 2 0 1 376 245 471 2539
+15449 4 2 0 1 277 834 821 21
+15450 4 2 0 1 1249 1495 1408 2666
+15451 4 2 0 1 376 384 350 2639
+15452 4 2 0 1 1208 1282 1394 2582
+15453 4 2 0 1 560 556 617 2236
+15454 4 2 0 1 380 314 300 2815
+15455 4 2 0 1 14 459 819 2714
+15456 4 2 0 1 1152 135 1141 2410
+15457 4 2 0 1 1515 1522 1283 2264
+15458 4 2 0 1 1105 1095 1151 2416
+15459 4 2 0 1 627 631 1424 2812
+15460 4 2 0 1 1343 1403 1346 2737
+15461 4 2 0 1 429 243 528 2606
+15462 4 2 0 1 1037 1033 1163 2565
+15463 4 2 0 1 846 487 11 269
+15464 4 2 0 1 973 1224 889 112
+15465 4 2 0 1 458 175 403 2674
+15466 4 2 0 1 1453 1300 1220 2301
+15467 4 2 0 1 684 545 549 2569
+15468 4 2 0 1 1130 1045 44 2405
+15469 4 2 0 1 555 540 677 2281
+15470 4 2 0 1 191 18 468 789
+15471 4 2 0 1 1183 1275 1246 2557
+15472 4 2 0 1 1293 1278 1287 2785
+15473 4 2 0 1 1424 631 2469 2812
+15474 4 2 0 1 237 444 365 2409
+15475 4 2 0 1 1116 1062 1051 2503
+15476 4 2 0 1 1059 1041 1110 2346
+15477 4 2 0 1 283 432 391 2713
+15478 4 2 0 1 749 850 793 2498
+15479 4 2 0 1 822 97 1290 719
+15480 4 2 0 1 749 793 834 2498
+15481 4 2 0 1 309 201 308 2795
+15482 4 2 0 1 1172 1033 1037 2565
+15483 4 2 0 1 458 248 175 2674
+15484 4 2 0 1 1061 1025 1112 2804
+15485 4 2 0 1 236 348 322 2397
+15486 4 2 0 1 820 746 839 2379
+15487 4 2 0 1 1027 1096 1074 2642
+15488 4 2 0 1 285 33 978 954
+15489 4 2 0 1 1274 1500 1206 2586
+15490 4 2 0 1 655 637 593 2663
+15491 4 2 0 1 1417 1469 1483 2620
+15492 4 2 0 1 1382 114 1402 904
+15493 4 2 0 1 718 765 689 2555
+15494 4 2 0 1 999 156 155 2670
+15495 4 2 0 1 900 940 953 2637
+15496 4 2 0 1 1443 1487 1468 2686
+15497 4 2 0 1 346 233 404 2556
+15498 4 2 0 1 872 965 878 2279
+15499 4 2 0 1 1040 1091 1100 2543
+15500 4 2 0 1 1045 1096 1109 2424
+15501 4 2 0 1 1540 2417 2756 2827
+15502 4 2 0 1 1461 1458 1481 2499
+15503 4 2 0 1 739 99 1524 1203
+15504 4 2 0 1 1084 1018 1161 2594
+15505 4 2 0 1 1461 1195 1458 2374
+15506 4 2 0 1 778 856 702 2690
+15507 4 2 0 1 328 206 318 2669
+15508 4 2 0 1 1350 1479 1470 2379
+15509 4 2 0 1 470 426 247 2658
+15510 4 2 0 1 705 811 707 2501
+15511 4 2 0 1 1308 1216 1345 2655
+15512 4 2 0 1 1381 1519 1516 2278
+15513 4 2 0 1 1292 1266 1446 2563
+15514 4 2 0 1 1001 1002 1000 2562
+15515 4 2 0 1 1431 645 1429 82
+15516 4 2 0 1 1129 1035 1031 2170
+15517 4 2 0 1 1138 446 48 1114
+15518 4 2 0 1 553 609 622 2408
+15519 4 2 0 1 319 211 305 2571
+15520 4 2 0 1 1105 1113 1100 2709
+15521 4 2 0 1 552 539 603 2761
+15522 4 2 0 1 1289 651 627 2812
+15523 4 2 0 1 1371 1448 1191 2263
+15524 4 2 0 1 1067 1066 1273 117
+15525 4 2 0 1 810 725 761 2451
+15526 4 2 0 1 2 527 495 149
+15527 4 2 0 1 793 281 20 195
+15528 4 2 0 1 563 536 575 2456
+15529 4 2 0 1 845 1488 737 86
+15530 4 2 0 1 575 668 563 2456
+15531 4 2 0 1 143 2212 664 2687
+15532 4 2 0 1 458 219 370 2744
+15533 4 2 0 1 636 634 687 2766
+15534 4 2 0 1 186 278 285 2327
+15535 4 2 0 1 1448 1241 1451 2780
+15536 4 2 0 1 1819 2543 2709 2814
+15537 4 2 0 1 1085 1121 1129 2584
+15538 4 2 0 1 1104 1058 1061 2522
+15539 4 2 0 1 1194 1237 1251 2835
+15540 4 2 0 1 784 710 730 2508
+15541 4 2 0 1 739 719 699 2722
+15542 4 2 0 1 1027 1040 1096 2406
+15543 4 2 0 1 1130 44 435 2405
+15544 4 2 0 1 570 682 146 2497
+15545 4 2 0 1 1568 2820 2252 2831
+15546 4 2 0 1 41 1158 488 1065
+15547 4 2 0 1 575 198 70 668
+15548 4 2 0 1 244 445 362 2494
+15549 4 2 0 1 1459 971 105 2775
+15550 4 2 0 1 395 499 420 2438
+15551 4 2 0 1 244 502 40 996
+15552 4 2 0 1 2252 2820 2651 2831
+15553 4 2 0 1 338 304 303 2605
+15554 4 2 0 1 513 288 396 2824
+15555 4 2 0 1 628 142 568 2687
+15556 4 2 0 1 408 396 469 2824
+15557 4 2 0 1 1446 1266 1180 2563
+15558 4 2 0 1 884 945 888 2461
+15559 4 2 0 1 1459 105 1464 2775
+15560 4 2 0 1 735 699 723 2135
+15561 4 2 0 1 1314 1304 1296 2302
+15562 4 2 0 1 126 1271 1295 1147
+15563 4 2 0 1 480 470 562 68
+15564 4 2 0 1 818 760 705 2585
+15565 4 2 0 1 140 846 487 3
+15566 4 2 0 1 889 911 939 2715
+15567 4 2 0 1 1441 1275 1244 2615
+15568 4 2 0 1 684 549 666 2569
+15569 4 2 0 1 1395 1388 1461 2374
+15570 4 2 0 1 688 548 542 2725
+15571 4 2 0 1 216 455 423 2554
+15572 4 2 0 1 1253 1457 1433 2751
+15573 4 2 0 1 1208 1168 121 1079
+15574 4 2 0 1 396 288 203 2657
+15575 4 2 0 1 474 492 486 2694
+15576 4 2 0 1 906 907 102 1484
+15577 4 2 0 1 327 301 312 2741
+15578 4 2 0 1 1380 1209 1393 2381
+15579 4 2 0 1 386 460 416 2661
+15580 4 2 0 1 1249 1294 1470 2485
+15581 4 2 0 1 839 1350 838 91
+15582 4 2 0 1 715 819 745 2714
+15583 4 2 0 1 487 172 422 2277
+15584 4 2 0 1 1147 1295 125 1119
+15585 4 2 0 1 829 762 856 2684
+15586 4 2 0 1 1686 2792 2412 2797
+15587 4 2 0 1 45 283 1130 432
+15588 4 2 0 1 780 701 745 2436
+15589 4 2 0 1 394 236 322 2397
+15590 4 2 0 1 966 873 879 2542
+15591 4 2 0 1 260 266 489 2626
+15592 4 2 0 1 481 242 185 2560
+15593 4 2 0 1 174 56 577 275
+15594 4 2 0 1 910 903 244 39
+15595 4 2 0 1 1091 1017 1048 2543
+15596 4 2 0 1 1513 1492 6 139
+15597 4 2 0 1 793 20 834 195
+15598 4 2 0 1 610 554 541 2530
+15599 4 2 0 1 1066 1273 117 1508
+15600 4 2 0 1 589 659 631 2469
+15601 4 2 0 1 403 383 219 2525
+15602 4 2 0 1 646 636 602 2587
+15603 4 2 0 1 1129 1121 1164 2584
+15604 4 2 0 1 439 348 236 2819
+15605 4 2 0 1 1258 1393 1387 2825
+15606 4 2 0 1 1046 1131 119 1250
+15607 4 2 0 1 1340 1217 1327 2579
+15608 4 2 0 1 259 172 254 2457
+15609 4 2 0 1 1409 1321 1218 2455
+15610 4 2 0 1 271 986 197 2576
+15611 4 2 0 1 894 156 999 2670
+15612 4 2 0 1 1306 1297 1377 2512
+15613 4 2 0 1 231 468 17 831
+15614 4 2 0 1 1486 1273 1270 2696
+15615 4 2 0 1 151 953 897 2523
+15616 4 2 0 1 900 880 940 2637
+15617 4 2 0 1 1378 1404 1243 2767
+15618 4 2 0 1 73 1447 1398 579
+15619 4 2 0 1 119 1131 1262 1250
+15620 4 2 0 1 1023 1046 1067 2696
+15621 4 2 0 1 2493 2664 1678 2704
+15622 4 2 0 1 951 902 882 2495
+15623 4 2 0 1 337 210 321 2601
+15624 4 2 0 1 1130 1074 1045 2405
+15625 4 2 0 1 630 451 493 2610
+15626 4 2 0 1 626 64 451 515
+15627 4 2 0 1 834 277 195 21
+15628 4 2 0 1 126 1133 1271 1147
+15629 4 2 0 1 361 340 303 2614
+15630 4 2 0 1 832 750 756 2631
+15631 4 2 0 1 1434 1222 1439 2763
+15632 4 2 0 1 1124 1086 1090 2518
+15633 4 2 0 1 17 231 831 837
+15634 4 2 0 1 37 173 972 271
+15635 4 2 0 1 80 1424 631 1252
+15636 4 2 0 1 787 699 719 2722
+15637 4 2 0 1 96 822 1210 835
+15638 4 2 0 1 568 664 618 2687
+15639 4 2 0 1 630 626 64 451
+15640 4 2 0 1 1424 1252 1344 2469
+15641 4 2 0 1 336 187 459 2714
+15642 4 2 0 1 1409 1178 1321 2455
+15643 4 2 0 1 380 300 202 2776
+15644 4 2 0 1 1131 1168 120 1262
+15645 4 2 0 1 1315 1313 1221 2531
+15646 4 2 0 1 401 421 221 2464
+15647 4 2 0 1 1473 1224 973 112
+15648 4 2 0 1 1144 1134 1093 2458
+15649 4 2 0 1 1157 166 1054 2278
+15650 4 2 0 1 232 325 402 2328
+15651 4 2 0 1 1350 838 91 1265
+15652 4 2 0 1 670 577 654 2830
+15653 4 2 0 1 1073 1075 1131 2581
+15654 4 2 0 1 1116 1056 1062 2503
+15655 4 2 0 1 581 57 279 275
+15656 4 2 0 1 1493 1205 1502 2339
+15657 4 2 0 1 915 1008 971 2775
+15658 4 2 0 1 778 702 742 2690
+15659 4 2 0 1 659 1429 81 1252
+15660 4 2 0 1 952 865 889 2715
+15661 4 2 0 1 336 347 187 2635
+15662 4 2 0 1 1113 1105 1057 2709
+15663 4 2 0 1 473 214 392 2516
+15664 4 2 0 1 1424 1289 627 2812
+15665 4 2 0 1 1241 1479 1451 2780
+15666 4 2 0 1 1819 2709 2764 2814
+15667 4 2 0 1 479 251 273 2803
+15668 4 2 0 1 397 229 177 2791
+15669 4 2 0 1 1101 1042 1062 2488
+15670 4 2 0 1 281 246 195 2498
+15671 4 2 0 1 460 493 416 2610
+15672 4 2 0 1 374 215 360 2366
+15673 4 2 0 1 1011 870 874 2553
+15674 4 2 0 1 1061 1112 1043 2804
+15675 4 2 0 1 1023 1110 1046 2696
+15676 4 2 0 1 130 1515 1064 1155
+15677 4 2 0 1 844 527 2 149
+15678 4 2 0 1 611 624 561 2294
+15679 4 2 0 1 606 660 632 2283
+15680 4 2 0 1 482 1158 4 158
+15681 4 2 0 1 1076 1107 1074 2642
+15682 4 2 0 1 388 46 283 2713
+15683 4 2 0 1 454 453 245 2445
+15684 4 2 0 1 254 198 441 2456
+15685 4 2 0 1 1024 1063 1051 2422
+15686 4 2 0 1 1858 2787 2729 2801
+15687 4 2 0 1 822 1290 96 1210
+15688 4 2 0 1 37 890 434 38
+15689 4 2 0 1 503 522 27 905
+15690 4 2 0 1 675 672 674 2672
+15691 4 2 0 1 1393 1366 1387 2825
+15692 4 2 0 1 513 408 494 2824
+15693 4 2 0 1 633 687 634 2766
+15694 4 2 0 1 838 750 832 2631
+15695 4 2 0 1 606 653 660 2283
+15696 4 2 0 1 401 478 421 2464
+15697 4 2 0 1 1022 1069 1045 2424
+15698 4 2 0 1 738 697 716 2666
+15699 4 2 0 1 604 613 559 2536
+15700 4 2 0 1 338 303 235 2605
+15701 4 2 0 1 309 317 201 2795
+15702 4 2 0 1 1010 988 981 2734
+15703 4 2 0 1 404 238 342 2556
+15704 4 2 0 1 920 978 994 2803
+15705 4 2 0 1 336 393 347 2635
+15706 4 2 0 1 273 285 33 978
+15707 4 2 0 1 51 1132 286 517
+15708 4 2 0 1 1202 1282 1208 2582
+15709 4 2 0 1 174 56 670 577
+15710 4 2 0 1 744 746 820 2379
+15711 4 2 0 1 1130 435 44 432
+15712 4 2 0 1 73 558 1447 579
+15713 4 2 0 1 476 42 488 1069
+15714 4 2 0 1 1212 1302 1309 2668
+15715 4 2 0 1 1001 1000 1009 2562
+15716 4 2 0 1 1461 1388 1195 2374
+15717 4 2 0 1 1466 124 1115 1478
+15718 4 2 0 1 1207 680 643 75
+15719 4 2 0 1 503 524 522 2477
+15720 4 2 0 1 760 818 758 2585
+15721 4 2 0 1 374 220 359 2683
+15722 4 2 0 1 697 785 716 2666
+15723 4 2 0 1 247 440 190 2533
+15724 4 2 0 1 915 971 913 2775
+15725 4 2 0 1 1329 1303 1351 2453
+15726 4 2 0 1 1249 1470 1427 2485
+15727 4 2 0 1 386 217 460 2661
+15728 4 2 0 1 645 659 1429 81
+15729 4 2 0 1 1132 1146 51 286
+15730 4 2 0 1 493 630 658 65
+15731 4 2 0 1 247 400 440 2533
+15732 4 2 0 1 296 523 294 2624
+15733 4 2 0 1 1408 1294 1249 2666
+15734 4 2 0 1 283 46 1167 2713
+15735 4 2 0 1 196 734 844 25
+15736 4 2 0 1 1394 1472 1262 2581
+15737 4 2 0 1 649 599 635 2786
+15738 4 2 0 1 685 137 136 2777
+15739 4 2 0 1 979 919 993 2462
+15740 4 2 0 1 1501 1525 1514 843
+15741 4 2 0 1 396 203 390 2657
+15742 4 2 0 1 399 406 218 2472
+15743 4 2 0 1 1294 716 88 89
+15744 4 2 0 1 1157 116 1381 1508
+15745 4 2 0 1 1295 125 1119 1466
+15746 4 2 0 1 1395 1415 1376 2720
+15747 4 2 0 1 1201 1450 93 790
+15748 4 2 0 1 434 445 244 2494
+15749 4 2 0 1 361 303 206 2614
+15750 4 2 0 1 2 495 998 149
+15751 4 2 0 1 1181 1293 1287 2785
+15752 4 2 0 1 595 2469 631 2812
+15753 4 2 0 1 241 397 410 2752
+15754 4 2 0 1 1286 1504 1522 2419
+15755 4 2 0 1 669 566 578 2419
+15756 4 2 0 1 296 294 207 2624
+15757 4 2 0 1 14 13 263 715
+15758 4 2 0 1 26 503 905 998
+15759 4 2 0 1 649 635 567 2786
+15760 4 2 0 1 394 314 228 2815
+15761 4 2 0 1 434 910 244 39
+15762 4 2 0 1 493 630 65 451
+15763 4 2 0 1 1498 109 959 1390
+15764 4 2 0 1 395 420 222 2438
+15765 4 2 0 1 721 698 734 2692
+15766 4 2 0 1 935 945 884 2461
+15767 4 2 0 1 1417 1489 1469 2620
+15768 4 2 0 1 174 496 253 2830
+15769 4 2 0 1 1323 1499 1311 2484
+15770 4 2 0 1 642 185 679 2560
+15771 4 2 0 1 1091 1048 1100 2543
+15772 4 2 0 1 1228 1426 1365 2770
+15773 4 2 0 1 1450 1467 1265 2631
+15774 4 2 0 1 1022 1045 1109 2424
+15775 4 2 0 1 726 732 791 2628
+15776 4 2 0 1 438 1156 268 55
+15777 4 2 0 1 185 60 642 679
+15778 4 2 0 1 1301 1331 1186 2740
+15779 4 2 0 1 502 482 4 158
+15780 4 2 0 1 570 146 629 2497
+15781 4 2 0 1 804 692 800 2288
+15782 4 2 0 1 686 533 640 2390
+15783 4 2 0 1 642 588 586 2560
+15784 4 2 0 1 1158 482 41 488
+15785 4 2 0 1 546 683 542 2367
+15786 4 2 0 1 582 69 441 480
+15787 4 2 0 1 627 595 631 2812
+15788 4 2 0 1 1378 1435 1404 2767
+15789 4 2 0 1 257 280 196 2692
+15790 4 2 0 1 441 575 198 70
+15791 4 2 0 1 26 503 27 905
+15792 4 2 0 1 192 50 49 1118
+15793 4 2 0 1 92 832 1450 1265
+15794 4 2 0 1 1139 1202 1478 123
+15795 4 2 0 1 59 557 58 189
+15796 4 2 0 1 1120 1094 1148 2733
+15797 4 2 0 1 1169 1149 1161 2769
+15798 4 2 0 1 247 261 470 2658
+15799 4 2 0 1 1062 1042 1111 2488
+15800 4 2 0 1 1270 1497 1482 2640
+15801 4 2 0 1 1343 1245 1403 2737
+15802 4 2 0 1 577 56 57 275
+15803 4 2 0 1 1080 46 388 2713
+15804 4 2 0 1 1476 1207 643 75
+15805 4 2 0 1 404 342 346 2556
+15806 4 2 0 1 200 301 327 2741
+15807 4 2 0 1 106 1008 1291 1464
+15808 4 2 0 1 502 4 996 158
+15809 4 2 0 1 228 485 518 2645
+15810 4 2 0 1 1045 435 43 44
+15811 4 2 0 1 542 548 665 2725
+15812 4 2 0 1 1406 1427 1234 2358
+15813 4 2 0 1 241 410 243 2752
+15814 4 2 0 1 675 674 662 2672
+15815 4 2 0 1 815 829 856 2684
+15816 4 2 0 1 720 464 22 23
+15817 4 2 0 1 1024 1070 1063 2422
+15818 4 2 0 1 1270 1482 1189 2640
+15819 4 2 0 1 1251 1237 1383 2835
+15820 4 2 0 1 575 582 69 441
+15821 4 2 0 1 1424 1430 1289 2812
+15822 4 2 0 1 788 826 722 2732
+15823 4 2 0 1 95 94 794 1201
+15824 4 2 0 1 627 1424 631 79
+15825 4 2 0 1 429 507 194 2818
+15826 4 2 0 1 98 97 719 1505
+15827 4 2 0 1 1075 1168 1131 2581
+15828 4 2 0 1 493 451 416 2610
+15829 4 2 0 1 1515 130 1492 1155
+15830 4 2 0 1 263 336 459 2714
+15831 4 2 0 1 1157 1381 10 166
+15832 4 2 0 1 752 817 798 2677
+15833 4 2 0 1 861 1014 984 2589
+15834 4 2 0 1 1139 1202 123 122
+15835 4 2 0 1 522 27 909 526
+15836 4 2 0 1 552 608 539 2761
+15837 4 2 0 1 196 844 527 25
+15838 4 2 0 1 94 794 1201 790
+15839 4 2 0 1 124 1119 1466 1115
+15840 4 2 0 1 62 592 61 514
+15841 4 2 0 1 589 631 595 2469
+15842 4 2 0 1 832 92 838 1265
+15843 4 2 0 1 136 137 1170 2777
+15844 4 2 0 1 12 11 269 736
+15845 4 2 0 1 217 400 460 2661
+15846 4 2 0 1 1169 1081 1149 2769
+15847 4 2 0 1 1063 1156 438 55
+15848 4 2 0 1 507 506 194 2818
+15849 4 2 0 1 1415 1320 1376 2720
+15850 4 2 0 1 271 197 450 2576
+15851 4 2 0 1 1017 1134 1144 2458
+15852 4 2 0 1 737 1488 1495 86
+15853 4 2 0 1 951 864 902 2495
+15854 4 2 0 1 1515 129 130 1064
+15855 4 2 0 1 1524 1494 1263 2722
+15856 4 2 0 1 229 397 371 2791
+15857 4 2 0 1 233 432 435 2405
+15858 4 2 0 1 626 64 515 63
+15859 4 2 0 1 1030 1034 1171 2603
+15860 4 2 0 1 1289 1424 627 79
+15861 4 2 0 1 228 314 380 2815
+15862 4 2 0 1 670 654 131 2830
+15863 4 2 0 1 1156 268 5 131
+15864 4 2 0 1 669 1513 71 6
+15865 4 2 0 1 890 434 38 910
+15866 4 2 0 1 266 1050 53 52
+15867 4 2 0 1 1481 1465 1461 2499
+15868 4 2 0 1 83 82 561 1423
+15869 4 2 0 1 1080 1167 46 2713
+15870 4 2 0 1 513 396 408 2824
+15871 4 2 0 1 525 185 242 2560
+15872 4 2 0 1 95 794 1264 1201
+15873 4 2 0 1 62 510 63 650
+15874 4 2 0 1 1286 669 1513 71
+15875 4 2 0 1 1459 1464 1465 2775
+15876 4 2 0 1 1104 1120 1148 2733
+15877 4 2 0 1 889 939 952 2715
+15878 4 2 0 1 1284 1512 1269 2822
+15879 4 2 0 1 1099 1043 1112 2804
+15880 4 2 0 1 698 741 734 2692
+15881 4 2 0 1 1107 1027 1074 2642
+15882 4 2 0 1 16 836 15 465
+15883 4 2 0 1 35 958 34 197
+15884 4 2 0 1 1496 1490 85 576
+15885 4 2 0 1 23 257 24 741
+15886 4 2 0 1 669 1513 6 139
+15887 4 2 0 1 1008 106 105 1464
+15888 4 2 0 1 281 793 20 19
+15889 4 2 0 1 568 142 143 2687
+15890 4 2 0 1 283 391 388 2713
+15891 4 2 0 1 129 1515 1502 1064
+15892 4 2 0 1 364 412 414 2641
+15893 4 2 0 1 738 737 1495 87
+15894 4 2 0 1 1080 1076 1167 2713
+15895 4 2 0 1 1418 1361 1386 2711
+15896 4 2 0 1 45 1130 44 432
+15897 4 2 0 1 27 28 909 526
+15898 4 2 0 1 987 1473 110 1498
+15899 4 2 0 1 468 18 17 831
+15900 4 2 0 1 1398 72 579 578
+15901 4 2 0 1 277 821 22 21
+15902 4 2 0 1 832 92 1450 93
+15903 4 2 0 1 568 143 664 2687
+15904 4 2 0 1 102 906 1484 1485
+15905 4 2 0 1 972 36 271 986
+15906 4 2 0 1 80 659 81 1252
+15907 4 2 0 1 639 595 657 2812
+15908 4 2 0 1 1492 6 139 1155
+15909 4 2 0 1 1295 126 1147 125
+15910 4 2 0 1 15 14 459 819
+15911 4 2 0 1 667 1496 85 576
+15912 4 2 0 1 630 64 65 451
+15913 4 2 0 1 1068 1205 128 1049
+15914 4 2 0 1 388 1080 47 46
+15915 4 2 0 1 101 997 1485 1501
+15916 4 2 0 1 1434 1439 1384 2763
+15917 4 2 0 1 47 1138 272 48
+15918 4 2 0 1 78 1289 651 627
+15919 4 2 0 1 1157 1066 116 1508
+15920 4 2 0 1 104 1211 103 886
+15921 4 2 0 1 503 26 495 998
+15922 4 2 0 1 470 67 562 68
+15923 4 2 0 1 99 739 1524 98
+15924 4 2 0 1 1211 907 103 886
+15925 4 2 0 1 1198 83 84 580
+15926 4 2 0 1 32 273 33 978
+15927 4 2 0 1 446 48 1114 49
+15928 4 2 0 1 118 1046 119 1250
+15929 4 2 0 1 909 28 885 282
+15930 4 2 0 1 907 1211 102 1484
+15931 4 2 0 1 1224 113 889 112
+15932 4 2 0 1 1289 78 651 77
+15933 4 2 0 1 33 285 34 954
+15934 4 2 0 1 920 479 31 32
+15935 4 2 0 1 128 1205 127 1049
+15936 4 2 0 1 191 18 789 19
+15937 4 2 0 1 1200 76 77 591
+15938 4 2 0 1 99 735 1514 1203
+15939 4 2 0 1 42 41 488 1065
+15940 4 2 0 1 28 909 526 282
+15941 4 2 0 1 1488 845 1480 86
+15942 4 2 0 1 426 67 66 644
+15943 4 2 0 1 1168 121 120 1394
+15944 4 2 0 1 669 1286 578 71
+15945 4 2 0 1 738 1495 1408 87
+15946 4 2 0 1 90 1350 839 91
+15947 4 2 0 1 907 1211 103 102
+15948 4 2 0 1 260 53 1070 54
+15949 4 2 0 1 934 981 988 2734
+15950 4 2 0 1 1208 121 122 1079
+15951 4 2 0 1 108 107 979 1436
+15952 4 2 0 1 1473 111 973 987
+15953 4 2 0 1 74 73 558 1447
+15954 4 2 0 1 1459 971 104 105
+15955 4 2 0 1 1115 1139 1478 123
+15956 4 2 0 1 642 679 588 2560
+15957 4 2 0 1 78 1289 627 79
+15958 4 2 0 1 109 108 955 1390
+15959 4 2 0 1 36 37 972 271
+15960 4 2 0 1 57 581 279 58
+15961 4 2 0 1 1408 738 87 88
+15962 4 2 0 1 111 1473 973 112
+15963 4 2 0 1 903 244 39 40
+15964 4 2 0 1 26 2 495 998
+15965 4 2 0 1 1473 111 987 110
+15966 4 2 0 1 129 1502 1068 1064
+15967 4 2 0 1 76 680 1207 75
+15968 4 2 0 1 1398 1286 72 578
+15969 4 2 0 1 110 987 1498 959
+15970 4 2 0 1 196 24 734 25
+15971 4 2 0 1 35 36 986 197
+15972 4 2 0 1 54 1063 438 55
+15973 4 2 0 1 958 35 986 197
+15974 4 2 0 1 885 28 29 282
+15975 4 2 0 1 501 13 12 740
+15976 4 2 0 1 66 493 658 65
+15977 4 2 0 1 74 1476 643 75
+15978 4 2 0 1 85 1490 84 576
+15979 4 2 0 1 30 29 276 970
+15980 4 2 0 1 1286 72 578 71
+15981 4 2 0 1 1492 130 6 1155
+15982 4 2 0 1 118 1067 1273 117
+15983 4 2 0 1 100 1501 1514 843
+15984 4 2 0 1 657 595 627 2812
+15985 4 2 0 1 20 834 195 21
+15986 4 2 0 1 36 271 986 197
+15987 4 2 0 1 116 1157 1381 10
+15988 4 2 0 1 582 69 480 68
+15989 4 2 0 1 287 30 1007 31
+15990 4 2 0 1 737 1495 87 86
+15991 4 2 0 1 1008 106 1291 919
+15992 4 2 0 1 434 38 910 39
+15993 4 2 0 1 1382 113 114 908
+15994 4 2 0 1 73 1398 72 579
+15995 4 2 0 1 198 70 668 3
+15996 4 2 0 1 116 1066 117 1508
+15997 4 2 0 1 1131 120 119 1262
+15998 4 2 0 1 645 1429 82 81
+15999 4 2 0 1 185 60 59 642
+16000 4 2 0 1 1156 268 55 5
+16001 4 2 0 1 997 906 101 1485
+16002 4 2 0 1 1501 9 157 843
+16003 4 2 0 1 101 997 1501 9
+16004 4 2 0 1 1405 820 89 90
+16005 4 2 0 1 99 735 100 1514
+16006 4 2 0 1 487 846 11 3
+16007 4 2 0 1 69 575 441 70
+16008 4 2 0 1 283 1167 46 45
+16009 4 2 0 1 1501 100 9 843
+16010 4 2 0 1 838 92 91 1265
+16011 4 2 0 1 96 1210 95 835
+16012 4 2 0 1 1146 50 51 286
+16013 4 2 0 1 525 60 679 61
+16014 4 2 0 1 56 5 174 670
+16015 4 2 0 1 97 822 1290 96
+16016 4 2 0 1 1424 80 631 79
+16017 4 2 0 1 997 1501 9 157
+16018 4 2 0 1 1205 1502 1068 128
+16019 4 2 0 1 1402 114 115 904
+16020 4 2 0 1 482 1158 41 4
+16021 4 2 0 1 476 42 1069 43
+16022 4 2 0 1 125 124 1119 1466
+16023 4 2 0 1 52 1132 51 517
+16024 4 2 0 1 1506 115 10 995
+16025 4 2 0 1 231 17 16 837
+16026 4 2 0 1 127 126 1133 1271
+16027 4 2 0 1 94 1201 93 790
+16028 4 2 0 1 1402 115 995 904
+16029 4 2 0 1 844 527 25 2
+16030 4 2 0 1 1480 667 8 148
+16031 4 2 0 1 845 1480 86 8
+16032 4 2 0 1 906 102 101 1485
+16033 4 2 0 1 124 1115 1478 123
+16034 4 2 0 1 502 4 40 996
+16035 4 2 0 1 1480 667 85 8
+16036 4 2 0 1 845 1480 8 148
+16037 4 2 0 1 106 107 1291 919
+16038 4 2 0 1 667 1496 1480 85
+16039 4 2 0 1 735 100 1514 843
+16040 4 2 0 1 1506 1402 115 995
+16041 4 2 0 1 1502 129 1068 128
+16042 4 2 0 1 110 1498 109 959
+$EndElements
diff --git a/test/mixeddimension/embedded/1p_1p/plot.py b/test/mixeddimension/embedded/1p_1p/plot.py
new file mode 100644
index 0000000000..24f3113008
--- /dev/null
+++ b/test/mixeddimension/embedded/1p_1p/plot.py
@@ -0,0 +1,61 @@
+#! /usr/bin/python
+
+import subprocess
+from math import log, floor, fabs
+import numpy
+
+radius = 0.05
+# # maximum allowed refinement is numCells = 2/radius then the average operator has to be implemented
+# # only even numbers allowed otherwise log(0) will be evaluated
+# levels = [int(i) for i in numpy.linspace(7, 21, 5)]
+# levels = [(i+1 if i%2 == 0 else i) for i in levels]
+
+# #initialize log file
+# file = open("log.txt", "w+")
+# file.write("#l2-norms\n")
+# file.close()
+
+# for numCells in levels:
+# subprocess.call(['./dangelo', '-VesselGrid.Cells', str(numCells),
+# '-TissueGrid.Cells', " ".join([str(numCells)]*3),
+# '-SpatialParams.Radius', str(radius)])
+
+# calculate the rates
+hmax3 = []
+hmax1 = []
+p3 = []
+p1 = []
+for line in open("log.txt"):
+ line = line.strip()
+ if line.startswith('#'):
+ continue
+ list = line.split(' ')
+ hmax3.append(float(list[0]))
+ hmax1.append(float(list[1]))
+ p3.append(float(list[2]))
+ p1.append(float(list[3]))
+
+rates3d = []
+rates1d = []
+for i in range(1, len(p1)):
+ try:
+ rate1 = (log(p1[i-1]) - log(p1[i]))/(log(hmax1[i-1]) - log(hmax1[i]))
+ rate3 = (log(p3[i-1]) - log(p3[i]))/(log(hmax3[i-1]) - log(hmax3[i]))
+ except ValueError:
+ continue
+ print('1d: {0:.5f} 3d: {1:.5f}'.format(rate1, rate3))
+ rates3d.append(rate3)
+ rates1d.append(rate1)
+
+
+# plot the results
+import matplotlib.pyplot as plt
+plt.grid("on")
+plt.plot(hmax1, p1, label='|pv-pv^h|L2')
+plt.plot(hmax3, p3, label='|pt-pt^h|L2')
+plt.plot(hmax1, [h*fabs(log(h)) for h in hmax1], label='h') #label='h*|log h|')
+plt.plot(hmax3, [h*fabs(log(h)) for h in hmax3], label='h') #label='h*|log h|')
+plt.xscale('log')
+plt.yscale('log')
+plt.legend()
+plt.show()
diff --git a/test/mixeddimension/embedded/1p_1p/test_1p_1p.cc b/test/mixeddimension/embedded/1p_1p/test_1p_1p.cc
new file mode 100644
index 0000000000..d9a1e2cdaa
--- /dev/null
+++ b/test/mixeddimension/embedded/1p_1p/test_1p_1p.cc
@@ -0,0 +1,45 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ * See the file COPYING for full copying permissions. *
+ * *
+ * This program is free software: you can redistribute it and/or modify *
+ * it under the terms of the GNU General Public License as published by *
+ * the Free Software Foundation, either version 2 of the License, or *
+ * (at your option) any later version. *
+ * *
+ * This program is distributed in the hope that it will be useful, *
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of *
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
+ * GNU General Public License for more details. *
+ * *
+ * You should have received a copy of the GNU General Public License *
+ * along with this program. If not, see <http://www.gnu.org/licenses/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \brief test for the 1d 3d cell-centered coupled model
+ */
+#include "config.h"
+#include "1d3dtestproblem.hh"
+#include <dumux/mixeddimension/embedded/start.hh>
+
+/*!
+ * \brief Provides an interface for customizing error messages associated with
+ * reading in parameters.
+ *
+ * \param progName The name of the program, that was tried to be started.
+ * \param errorMsg The error message that was issued by the start function.
+ * Comprises the thing that went wrong and a general help message.
+ */
+void usage(const char *progName, const std::string &errorMsg)
+{
+ // TODO
+}
+
+int main(int argc, char** argv)
+{
+ typedef TTAG(TestOneDThreeDCCProblem) ProblemTypeTag;
+ return Dumux::start<ProblemTypeTag>(argc, argv, usage);
+}
diff --git a/test/mixeddimension/embedded/1p_1p/test_1p_1p.input b/test/mixeddimension/embedded/1p_1p/test_1p_1p.input
new file mode 100644
index 0000000000..97612af7e0
--- /dev/null
+++ b/test/mixeddimension/embedded/1p_1p/test_1p_1p.input
@@ -0,0 +1,52 @@
+[MixedDimension]
+UseIterativeSolver = false
+NumCircleSegments = 100
+
+[TimeManager]
+DtInitial = 1 # [s]
+TEnd = 1 # [s]
+MaxTimeStepSize = 1
+DtInitialBulkProblem = 1 # [s]
+DtInitialLowDimProblem = 1 # [s]
+EpisodeTime = 1 # [s]
+
+[VesselGrid]
+LowerLeft = 0 0 0
+UpperRight = 0 0 1
+Cells = 40
+
+[TissueGrid]
+#File = ./grids/cylinder.msh
+#Refinement = 10
+LowerLeft = -1 -1 0
+UpperRight = 1 1 1
+Cells = 40 40 40
+
+[Problem]
+Name = test_1p1dstokes
+NormIntegrationOrder = 1
+NormExcludeInnerBulk = true
+IntegrationOrder = 2
+LiquidKinematicViscosity = 1 # [m^2/s]
+LiquidDensity = 1 # [kg/m^3]
+
+[IterativeAlgorithm]
+MaxIterations = 100
+Tolerance = 1.0e-5
+Verbose = 1
+IntegrationOrder = 1
+
+[SpatialParams]
+PermeabilityTissue = 1 # [m^2]
+Radius = 0.33 # [m]
+
+[Vtk]
+AddVelocity = 0
+
+[BoundaryConditions1D]
+PressureInput = 2.0
+DeltaPressure = 1.0
+
+[Newton]
+MaxRelativeShift = 1e-5
+MaxSteps = 60
diff --git a/test/mixeddimension/embedded/1p_1p/tissueproblem.hh b/test/mixeddimension/embedded/1p_1p/tissueproblem.hh
new file mode 100644
index 0000000000..bf10ffeee9
--- /dev/null
+++ b/test/mixeddimension/embedded/1p_1p/tissueproblem.hh
@@ -0,0 +1,359 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ * See the file COPYING for full copying permissions. *
+ * *
+ * This program is free software: you can redistribute it and/or modify *
+ * it under the terms of the GNU General Public License as published by *
+ * the Free Software Foundation, either version 2 of the License, or *
+ * (at your option) any later version. *
+ * *
+ * This program is distributed in the hope that it will be useful, *
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of *
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
+ * GNU General Public License for more details. *
+ * *
+ * You should have received a copy of the GNU General Public License *
+ * along with this program. If not, see <http://www.gnu.org/licenses/>. *
+ *****************************************************************************/
+/**
+ * \file
+ * \brief Definition of a problem, for the 1p2c problem:
+ * Component transport of oxygen in interstitial fluid.
+ */
+#ifndef DUMUX_TISSUE_PROBLEM_HH
+#define DUMUX_TISSUE_PROBLEM_HH
+
+#include <dune/geometry/quadraturerules.hh>
+#include <dune/geometry/referenceelements.hh>
+#include <dune/localfunctions/lagrange/pqkfactory.hh>
+
+#include <dumux/common/math.hh>
+#include <dumux/implicit/cellcentered/tpfa/properties.hh>
+#include <dumux/porousmediumflow/1p/implicit/model.hh>
+#include <dumux/porousmediumflow/implicit/problem.hh>
+#include <dumux/material/components/constant.hh>
+#include <dumux/material/fluidsystems/liquidphase.hh>
+
+#include <dumux/mixeddimension/subproblemproperties.hh>
+
+#include "tissuespatialparams.hh"
+
+namespace Dumux
+{
+
+template <class TypeTag>
+class TissueProblem;
+
+namespace Properties
+{
+NEW_TYPE_TAG(TissueProblem, INHERITS_FROM(OneP));
+NEW_TYPE_TAG(TissueCCProblem, INHERITS_FROM(CCTpfaModel, TissueProblem));
+
+// Set the grid type
+SET_TYPE_PROP(TissueProblem, Grid, Dune::YaspGrid<3, Dune::EquidistantOffsetCoordinates<typename GET_PROP_TYPE(TypeTag, Scalar), 3> >);
+
+SET_BOOL_PROP(TissueProblem, EnableGlobalFVGeometryCache, true);
+SET_BOOL_PROP(TissueProblem, EnableGlobalVolumeVariablesCache, true);
+SET_BOOL_PROP(TissueProblem, EnableGlobalFluxVariablesCache, true);
+SET_BOOL_PROP(TissueProblem, SolutionDependentAdvection, false);
+SET_BOOL_PROP(TissueProblem, SolutionDependentMolecularDiffusion, false);
+SET_BOOL_PROP(TissueProblem, SolutionDependentHeatConduction, false);
+
+// Set the grid parameter group
+SET_STRING_PROP(TissueProblem, GridParameterGroup, "TissueGrid");
+
+// Set the problem property
+SET_TYPE_PROP(TissueProblem, Problem, TissueProblem<TypeTag>);
+
+SET_PROP(TissueProblem, Fluid)
+{
+private:
+ using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+public:
+ using type = FluidSystems::LiquidPhase<Scalar, Constant<TypeTag, Scalar>>;
+};
+
+// Set the spatial parameters
+SET_TYPE_PROP(TissueProblem, SpatialParams, Dumux::TissueSpatialParams<TypeTag>);
+
+
+// Enable velocity output
+SET_BOOL_PROP(TissueProblem, VtkAddVelocity, false);
+
+// Disable gravity
+SET_BOOL_PROP(TissueProblem, ProblemEnableGravity, false);
+}
+
+
+/*!
+ * \ingroup OnePTwoCModel
+ * \ingroup ImplicitTestProblems
+ */
+template <class TypeTag>
+class TissueProblem : public ImplicitPorousMediaProblem<TypeTag>
+{
+ using ParentType = ImplicitPorousMediaProblem<TypeTag>;
+ using GridView = typename GET_PROP_TYPE(TypeTag, GridView);
+ using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+ using FVElementGeometry = typename GET_PROP_TYPE(TypeTag, FVElementGeometry);
+ using SubControlVolume = typename GET_PROP_TYPE(TypeTag, SubControlVolume);
+ using PrimaryVariables = typename GET_PROP_TYPE(TypeTag, PrimaryVariables);
+ using ElementVolumeVariables = typename GET_PROP_TYPE(TypeTag, ElementVolumeVariables);
+ using BoundaryTypes = typename GET_PROP_TYPE(TypeTag, BoundaryTypes);
+ using TimeManager = typename GET_PROP_TYPE(TypeTag, TimeManager);
+ using PointSource = typename GET_PROP_TYPE(TypeTag, PointSource);
+ using Indices = typename GET_PROP_TYPE(TypeTag, Indices);
+
+ // copy some indices for convenience
+ enum {
+ // world dimension
+ dim = GridView::dimension,
+ dimWorld = GridView::dimensionworld
+ };
+ enum { pressureIdx = Indices::pressureIdx };
+ enum { conti0EqIdx = Indices::conti0EqIdx };
+
+ enum { isBox = GET_PROP_VALUE(TypeTag, ImplicitIsBox) };
+ enum { dofCodim = isBox ? dim : 0 };
+
+ using Element = typename GridView::template Codim<0>::Entity;
+ using GlobalPosition = Dune::FieldVector<Scalar, dimWorld>;
+
+ using GlobalProblemTypeTag = typename GET_PROP_TYPE(TypeTag, GlobalProblemTypeTag);
+ using CouplingManager = typename GET_PROP_TYPE(GlobalProblemTypeTag, CouplingManager);
+
+public:
+ TissueProblem(TimeManager &timeManager, const GridView &gridView)
+ : ParentType(timeManager, gridView)
+ {
+ //read parameters from input file
+ name_ = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, std::string, Problem, Name) + "_3d";
+ }
+
+ /*!
+ * \brief Called by the TimeManager in order to
+ * initialize the problem.
+ */
+ void init()
+ {
+ ParentType::init();
+ exactPressure_.resize(this->model().numDofs());
+ for (const auto& element : elements(this->gridView()))
+ {
+ auto fvGeometry = localView(this->model().globalFvGeometry());
+ fvGeometry.bindElement(element);
+
+ for (auto&& scv : scvs(fvGeometry))
+ exactPressure_[scv.dofIndex()] = exactSolution(scv.dofPosition());
+ }
+ }
+
+ /*!
+ * \brief Returns true if a restart file should be written to
+ * disk.
+ */
+ bool shouldWriteRestartFile() const
+ { return false; }
+
+ /*!
+ * \name Problem parameters
+ */
+ // \{
+
+ /*!
+ * \brief The problem name.
+ *
+ * This is used as a prefix for files generated by the simulation.
+ */
+ const std::string& name() const
+ { return name_; }
+
+ /*!
+ * \brief Returns the temperature within the domain [K].
+ *
+ * This problem assumes a temperature of 37 degrees Celsius.
+ */
+ Scalar temperature() const
+ { return 273.15 + 37; } // in [K]
+
+ // \}
+
+ /*!
+ * \name Boundary conditions
+ */
+ // \{
+
+ /*!
+ * \brief Specifies which kind of boundary condition should be
+ * used for which equation on a given boundary segment.
+ *
+ * \param globalPos The position for which the bc type should be evaluated
+ */
+ BoundaryTypes boundaryTypesAtPos(const GlobalPosition &globalPos) const
+ {
+ BoundaryTypes values;
+ values.setAllDirichlet();
+ return values;
+ }
+
+ /*!
+ * \brief Evaluate the boundary conditions for a dirichlet
+ * boundary segment.
+ *
+ * \param globalPos The position for which the bc type should be evaluated
+ *
+ * For this method, the \a values parameter stores primary variables.
+ */
+ PrimaryVariables dirichletAtPos(const GlobalPosition &globalPos) const
+ {
+ PrimaryVariables values;
+ values = exactSolution(globalPos);
+ return values;
+ }
+
+ // \}
+
+ /*!
+ * \name Volume terms
+ */
+ // \{
+
+ /*!
+ * \brief Applies a vector of point sources. The point sources
+ * are possibly solution dependent.
+ *
+ * \param pointSources A vector of Dumux::PointSource s that contain
+ source values for all phases and space positions.
+ *
+ * For this method, the \a values method of the point source
+ * has to return the absolute mass rate in kg/s. Positive values mean
+ * that mass is created, negative ones mean that it vanishes.
+ */
+ void addPointSources(std::vector<PointSource>& pointSources) const
+ { pointSources = this->couplingManager().bulkPointSources(); }
+
+ /*!
+ * \brief Evaluate the point sources (added by addPointSources)
+ * for all phases within a given sub-control-volume.
+ *
+ * This is the method for the case where the point source is
+ * solution dependent and requires some quantities that
+ * are specific to the fully-implicit method.
+ *
+ * \param pointSource A single point source
+ * \param element The finite element
+ * \param fvGeometry The finite-volume geometry
+ * \param elemVolVars All volume variables for the element
+ * \param scv The sub-control volume within the element
+ *
+ * For this method, the \a values() method of the point sources returns
+ * the absolute rate mass generated or annihilate in kg/s. Positive values mean
+ * that mass is created, negative ones mean that it vanishes.
+ */
+ void pointSource(PointSource& source,
+ const Element &element,
+ const FVElementGeometry& fvGeometry,
+ const ElementVolumeVariables& elemVolVars,
+ const SubControlVolume &scv) const
+ {
+ // compute source at every integration point
+ //const auto& bulkVolVars = elemVolVars[scv];
+ const auto& bulkVolVars = this->couplingManager().bulkVolVars(source.id());
+ const Scalar pressure1D = this->couplingManager().lowDimPriVars(source.id())[pressureIdx];
+
+ // calculate the source
+ const Scalar radius = this->couplingManager().radius(source.id());
+ const Scalar beta = 2*M_PI/(2*M_PI + std::log(radius));
+ const Scalar sourceValue = beta*(pressure1D - bulkVolVars.pressure())*bulkVolVars.density();
+ source = sourceValue*source.quadratureWeight()*source.integrationElement();
+ }
+
+ /*!
+ * \brief Evaluate the initial value for a control volume.
+ *
+ * \param values The initial values for the primary variables
+ * \param globalPos The position for which the initial condition should be evaluated
+ *
+ * For this method, the \a values parameter stores primary
+ * variables.
+ */
+ PrimaryVariables initialAtPos(const GlobalPosition &globalPos) const
+ { return PrimaryVariables(0.0); }
+
+ //! The exact solution
+ Scalar exactSolution(const GlobalPosition &globalPos) const
+ {
+ Dune::FieldVector<double, 2> xy({globalPos[0], globalPos[1]});
+ return -1.0*(1+globalPos[2])/(2*M_PI)*std::log(xy.two_norm());
+
+ // use this instead if you are using the coupling manager with circle sources
+ // auto R = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, SpatialParams, Radius);
+ // if (xy.two_norm() > R)
+ // return -1.0*(1+globalPos[2])/(2*M_PI)*std::log(xy.two_norm());
+ // else
+ // return -1.0*(1+globalPos[2])/(2*M_PI)*std::log(R);
+ }
+
+ //! Called after every time step
+ //! Output the total global exchange term
+ void postTimeStep()
+ {
+ ParentType::postTimeStep();
+
+ PrimaryVariables source(0.0);
+
+ if (!(this->timeManager().time() < 0.0))
+ {
+ for (const auto& element : elements(this->gridView()))
+ {
+ auto fvGeometry = localView(this->model().globalFvGeometry());
+ fvGeometry.bindElement(element);
+
+ auto elemVolVars = localView(this->model().curGlobalVolVars());
+ elemVolVars.bindElement(element, fvGeometry, this->model().curSol());
+
+ for (auto&& scv : scvs(fvGeometry))
+ {
+ auto pointSources = this->scvPointSources(element, fvGeometry, elemVolVars, scv);
+ pointSources *= scv.volume()*elemVolVars[scv].extrusionFactor();
+ source += pointSources;
+ }
+ }
+ }
+
+ std::cout << "Global integrated source (3D): " << source << '\n';
+ }
+
+ /*!
+ * \brief Adds additional VTK output data to the VTKWriter. Function is called by the output module on every write.
+ */
+ void addVtkOutputFields(VtkOutputModule<TypeTag>& outputModule) const
+ {
+ auto& p = outputModule.createScalarField("exact pressure", dofCodim);
+ p = exactPressure_;
+ }
+
+ //! Set the coupling manager
+ void setCouplingManager(std::shared_ptr<CouplingManager> cm)
+ { couplingManager_ = cm; }
+
+ //! Get the coupling manager
+ const CouplingManager& couplingManager() const
+ { return *couplingManager_; }
+
+ const std::vector<unsigned int>& getAdditionalDofDependencies(unsigned int dofGlobalIdx) const
+ { return couplingManager().getAdditionalDofDependencies(dofGlobalIdx); }
+
+private:
+ std::vector<Scalar> exactPressure_;
+
+ static constexpr Scalar eps_ = 1.5e-7;
+ std::string name_;
+
+ std::shared_ptr<CouplingManager> couplingManager_;
+};
+
+} //end namespace Dumux
+
+#endif
diff --git a/test/mixeddimension/embedded/1p_1p/tissuespatialparams.hh b/test/mixeddimension/embedded/1p_1p/tissuespatialparams.hh
new file mode 100644
index 0000000000..d53668551c
--- /dev/null
+++ b/test/mixeddimension/embedded/1p_1p/tissuespatialparams.hh
@@ -0,0 +1,102 @@
+// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
+// vi: set et ts=4 sw=4 sts=4:
+/*****************************************************************************
+ * See the file COPYING for full copying permissions. *
+ * *
+ * This program is free software: you can redistribute it and/or modify *
+ * it under the terms of the GNU General Public License as published by *
+ * the Free Software Foundation, either version 2 of the License, or *
+ * (at your option) any later version. *
+ * *
+ * This program is distributed in the hope that it will be useful, *
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of *
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
+ * GNU General Public License for more details. *
+ * *
+ * You should have received a copy of the GNU General Public License *
+ * along with this program. If not, see <http://www.gnu.org/licenses/>. *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \brief Definition of the spatial parameters for the tissue problem
+ */
+#ifndef DUMUX_TISSUE_SPATIAL_PARAMS_HH
+#define DUMUX_TISSUE_SPATIAL_PARAMS_HH
+
+#include <dumux/material/spatialparams/implicit1p.hh>
+
+namespace Dumux
+{
+
+/*!
+ * \ingroup OnePModel
+ * \ingroup ImplicitTestProblems
+ *
+ * \brief Definition of the spatial parameters for the tissue problem
+ */
+template<class TypeTag>
+class TissueSpatialParams : public ImplicitSpatialParamsOneP<TypeTag>
+{
+ using ParentType = ImplicitSpatialParamsOneP<TypeTag>;
+ using Problem = typename GET_PROP_TYPE(TypeTag, Problem);
+ using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
+ using GridView = typename GET_PROP_TYPE(TypeTag, GridView);
+ using Element = typename GridView::template Codim<0>::Entity;
+ using SubControlVolume = typename GET_PROP_TYPE(TypeTag, SubControlVolume);
+ using ElementSolutionVector = typename GET_PROP_TYPE(TypeTag, ElementSolutionVector);
+
+ enum {
+ // Grid and world dimension
+ dim = GridView::dimension,
+ dimworld = GridView::dimensionworld
+ };
+ using GlobalPosition = Dune::FieldVector<Scalar, dimworld>;
+
+public:
+ // export permeability type
+ using PermeabilityType = Scalar;
+
+ TissueSpatialParams(const Problem& problem, const GridView &gridView)
+ : ParentType(problem, gridView)
+ {
+ permeability_ = GET_RUNTIME_PARAM_FROM_GROUP(TypeTag, Scalar, SpatialParams, PermeabilityTissue);
+ porosity_ = 1.0;
+ }
+
+ /*!
+ * \brief Define the intrinsic permeability \f$\mathrm{[m^2]}\f$.
+ *
+ * \param element The element
+ * \param scv The sub control volume
+ * \param elemSol the element solution vector
+ */
+ Scalar permeability(const Element& element,
+ const SubControlVolume& scv,
+ const ElementSolutionVector& elemSol) const
+ {
+ return permeability_;
+ }
+
+ /*!
+ * \brief Define the porosity \f$\mathrm{[-]}\f$.
+ *
+ * \param element The current finite element
+ * \param scv The sub control volume
+ * \param elemSol The current element solution vector
+ */
+ Scalar porosity(const Element& element,
+ const SubControlVolume& scv,
+ const ElementSolutionVector& elemSol) const
+ {
+ return porosity_;
+ }
+
+private:
+ Scalar permeability_;
+ Scalar porosity_;
+};
+
+} // end namespace Dumux
+
+#endif
diff --git a/test/mixeddimension/embedded/CMakeLists.txt b/test/mixeddimension/embedded/CMakeLists.txt
new file mode 100644
index 0000000000..404e7c295f
--- /dev/null
+++ b/test/mixeddimension/embedded/CMakeLists.txt
@@ -0,0 +1 @@
+add_subdirectory("1p_1p")
--
GitLab