From: Denis Davydov Date: Thu, 2 Apr 2015 12:41:04 +0000 (+0200) Subject: missing hp-functions and other mods in FE_Q_Hierarchical X-Git-Tag: v8.3.0-rc1~302^2 X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=ce20faea775b2fe43d0a205c1f92b494b9af9c2d;p=dealii.git missing hp-functions and other mods in FE_Q_Hierarchical (i) hp_line_dof_identities and hp_quad_dof_identities (ii) added an assert and description to invert_numbering (iii) added comments on dofs_subcell and dofs_cell (iv) return the already calculated prolongation matrix (v) implement get_interpolation_matrix (vi) reimplement interpolate() and throw an Assert (vii) tests: injection, hp_constraints_q_hierarhical, continuity of basis functions --- diff --git a/doc/news/changes.h b/doc/news/changes.h index 88acfbe755..afa30d3966 100644 --- a/doc/news/changes.h +++ b/doc/news/changes.h @@ -410,6 +410,12 @@ inconvenience this causes.

Specific improvements

    +
  1. Fixed: Added missing hp-related functions to FE_Q_Hierarchical together with + a couple of unit tests. Improved code comments. +
    + (Denis Davydov, 2015/04/10) +
  2. +
  3. Fixed: deal.II did not compile on 32-bit systems when using newer p4est versions (1.0 and later) due to a type mismatch. This is now fixed.
    diff --git a/include/deal.II/fe/fe_q_hierarchical.h b/include/deal.II/fe/fe_q_hierarchical.h index 00a92026db..69db3d97ed 100644 --- a/include/deal.II/fe/fe_q_hierarchical.h +++ b/include/deal.II/fe/fe_q_hierarchical.h @@ -589,6 +589,21 @@ public: */ virtual bool hp_constraints_are_implemented () const; + /** + * Return the matrix interpolating from the given finite element to the present one. + * Interpolation only between FE_Q_Hierarchical is supported. + */ + virtual void get_interpolation_matrix(const FiniteElement< dim> &source, + FullMatrix< double > &matrix) const; + + /** + * Embedding matrix between grids. + * Only isotropic refinement is supported. + */ + virtual const + FullMatrix &get_prolongation_matrix (const unsigned int child, + const RefinementCase &refinement_case = RefinementCase< dim >::isotropic_refinement) const; + /** * If, on a vertex, several finite elements are active, the hp code first * assigns the degrees of freedom of each of these FEs different global @@ -608,6 +623,20 @@ public: std::vector > hp_vertex_dof_identities (const FiniteElement &fe_other) const; + /** + * Same as above but for lines. + */ + virtual + std::vector > + hp_line_dof_identities (const FiniteElement &fe_other) const; + + /** + * Same as above but for faces. + */ + virtual + std::vector > + hp_quad_dof_identities (const FiniteElement &fe_other) const; + /*@}*/ /** @@ -674,6 +703,17 @@ public: virtual std::pair, std::vector > get_constant_modes () const; + /** + * A function to interpolate scalar values, computed at the + * support points to the FE_Q_Hierarchical. + * + * This function is not implemented and throws an exception if called. + */ + virtual + void interpolate(std::vector &local_dofs, + const std::vector &values) const; + + protected: /** * @p clone function instead of a copy constructor. diff --git a/source/fe/fe_q_hierarchical.cc b/source/fe/fe_q_hierarchical.cc index b80266abc2..1f570df7bf 100644 --- a/source/fe/fe_q_hierarchical.cc +++ b/source/fe/fe_q_hierarchical.cc @@ -29,13 +29,20 @@ DEAL_II_NAMESPACE_OPEN namespace { + /** + * A function which maps in[i] to i,i.e. output[in[i]] = i; + */ inline std::vector invert_numbering (const std::vector &in) { std::vector out (in.size()); for (unsigned int i=0; i::FE_Q_Hierarchical (const unsigned int degree) // values of the linear functionals of // the master 1d cell applied to the // shape functions of the two 1d subcells. - // The matrix @p{dofs_subcell} constains + // The matrix @p{dofs_subcell} contains // the values of the linear functionals // on each 1d subcell applied to the // shape functions on the master 1d @@ -115,6 +122,22 @@ FE_Q_Hierarchical::get_name () const return namebuf.str(); } +template +void +FE_Q_Hierarchical::interpolate( + std::vector &local_dofs, + const std::vector &values) const +{ + // The default implementation + // assumes that the FE has a delta property, + // i.e. values at the support points equal + // the corresponding DoFs. + // This is obviously not the case here. + Assert (false, + ExcNotImplemented()); +} + + template @@ -124,6 +147,71 @@ FE_Q_Hierarchical::clone() const return new FE_Q_Hierarchical(*this); } +template +void +FE_Q_Hierarchical::get_interpolation_matrix(const FiniteElement< dim> &source, + FullMatrix< double > &matrix) const +{ + // support interpolation between FE_Q_Hierarchical only. + if (const FE_Q_Hierarchical *source_fe + = dynamic_cast*>(&source)) + { + // ok, source is a Q_Hierarchical element, so we will be able to do the work + Assert (matrix.m() == this->dofs_per_cell, + ExcDimensionMismatch (matrix.m(), + this->dofs_per_cell)); + Assert (matrix.n() == source.dofs_per_cell, + ExcDimensionMismatch (matrix.m(), + source_fe->dofs_per_cell)); + + // make sure that we interpolate to a richer element. + Assert (this->dofs_per_cell >= source_fe->dofs_per_cell, + ExcMessage("Interpolation to higher polynomial degree is advised.")); + + // Recall that DoFs are renumbered in the following order: + // vertices, lines, quads, hexes. + // As we deal with hierarchical FE, interpolation matrix is rather easy: + // it has 1 on pairs of dofs which are the same. + // To get those use get_embedding_dofs(); + + matrix = 0.; + + // distinguish between the case when we interpolate to a richer element + if (this->dofs_per_cell >= source_fe->dofs_per_cell) + { + const std::vector dof_map = this->get_embedding_dofs(source_fe->degree); + for (unsigned int j=0; j < dof_map.size(); j++) + matrix[dof_map[j]][j] = 1.; + } + // and when just truncate higher modes. + else + { + const std::vector dof_map = source_fe->get_embedding_dofs(this->degree); + for (unsigned int j=0; j < dof_map.size(); j++) + matrix[j][dof_map[j]] = 1.; + } + } + else + { + AssertThrow(false, dealii::ExcMessage("Interpolation is supported only between FE_Q_Hierarchical")); + } + +} + +template +const FullMatrix & +FE_Q_Hierarchical::get_prolongation_matrix (const unsigned int child, + const RefinementCase &refinement_case) const +{ + Assert (refinement_case==RefinementCase::isotropic_refinement, + ExcMessage("Prolongation matrices are only available for isotropic refinement!")); + + Assert (child::n_children(refinement_case), + ExcIndexRange(child,0,GeometryInfo::n_children(refinement_case))); + + return this->prolongation[refinement_case-1][child]; + +} template @@ -168,6 +256,83 @@ hp_vertex_dof_identities (const FiniteElement &fe_other) const } } +template +std::vector > +FE_Q_Hierarchical:: +hp_line_dof_identities (const FiniteElement &fe_other) const +{ + // we can presently only compute + // these identities if both FEs are + // FE_Q_Hierarchicals or if the other + // one is an FE_Nothing. + if (dynamic_cast*>(&fe_other) != 0) + { + const unsigned int &this_dpl = this->dofs_per_line; + const unsigned int &other_dpl = fe_other.dofs_per_line; + + // we deal with hierarchical 1d polynomials where dofs are enumerated increasingly. + // Thus we return a vector of pairs + // for the first N-1, where N is minimum number of + // dofs_per_line for each FE_Q_Hierarchical. + std::vector > res; + for (unsigned int i = 0; i < std::min(this_dpl,other_dpl); i++) + res.push_back(std::make_pair (i, i)); + + return res; + } + else if (dynamic_cast*>(&fe_other) != 0) + { + // the FE_Nothing has no + // degrees of freedom, so there + // are no equivalencies to be + // recorded + return std::vector > (); + } + else + { + Assert (false, ExcNotImplemented()); + return std::vector > (); + } +} + +template +std::vector > +FE_Q_Hierarchical:: +hp_quad_dof_identities (const FiniteElement &fe_other) const +{ + // we can presently only compute + // these identities if both FEs are + // FE_Q_Hierarchicals or if the other + // one is an FE_Nothing. + if (dynamic_cast*>(&fe_other) != 0) + { + const unsigned int &this_dpq = this->dofs_per_quad; + const unsigned int &other_dpq = fe_other.dofs_per_quad; + + // we deal with hierarchical 1d polynomials where dofs are enumerated increasingly. + // Thus we return a vector of pairs + // for the first N-1, where N is minimum number of + // dofs_per_line for each FE_Q_Hierarchical. + std::vector > res; + for (unsigned int i = 0; i < std::min(this_dpq,other_dpq); i++) + res.push_back(std::make_pair (i, i)); + + return res; + } + else if (dynamic_cast*>(&fe_other) != 0) + { + // the FE_Nothing has no + // degrees of freedom, so there + // are no equivalencies to be + // recorded + return std::vector > (); + } + else + { + Assert (false, ExcNotImplemented()); + return std::vector > (); + } +} template FiniteElementDomination::Domination @@ -177,6 +342,8 @@ compare_for_face_domination (const FiniteElement &fe_other) const if (const FE_Q_Hierarchical *fe_q_other = dynamic_cast*>(&fe_other)) { + // the element with lowest polynomial degree + // dominates the other. if (this->degree < fe_q_other->degree) return FiniteElementDomination::this_element_dominates; else if (this->degree == fe_q_other->degree) @@ -212,6 +379,53 @@ FE_Q_Hierarchical::build_dofs_cell (std::vector > &dofs_ { const unsigned int dofs_1d = 2*this->dofs_per_vertex + this->dofs_per_line; + // The dofs_subcell matrices are transposed + // (4.19), (4.21) and (4.27),(4.28),(4.30) in + // Demkowicz, Oden, Rachowicz, Hardy, CMAMAE 77, 79-112, 1989 + // so that + // DoFs_c(j) = dofs_subcell[c](j,k) dofs_cell(k) + + // TODO: The dofs_subcell shall differ by a factor 2^p due to shape functions + // defined on [0,1] instead of [-1,1]. However, that does not seem to be + // the case. Perhaps this factor is added later on in auxilary functions which + // use these matrices. + + // dofs_cells[0](j,k): + // 0 1 | 2 3 4 + // 0 1 0 | + // 1 0 0 | + // ------------------- + // 2 \ + // 3 \ 2^k * k! / (k-j)!j! + // 4 \ + + // dofs_subcells[0](j,k): + // 0 1 | 2 3 4 5 6 + // 0 1 0 | + // 1 1/2 1/2 | -1 0 -1 0 -1 + // ------------------------------- + // 2 \ + // 3 \ (-1)^(k+j)/ 2^k * k!/(k-j)!j! + // 4 \ + + // dofs_cells[1](j,k): + // 0 1 | 2 3 4 + // 0 0 0 | + // 1 0 1 | + // ------------------ + // 2 \ + // 3 \ (-1)^(k+j) * 2^k * k!/(k-j)!j! + // 4 \ + + // dofs_subcells[1](j,k): + // 0 1 | 2 3 4 5 6 + // 0 1/2 1/2 | -1 0 -1 0 -1 + // 1 0 1 | + // ------------------------------- + // 2 \ + // 3 \ 1/ 2^k * k!/(k-j)!j! + // 4 + for (unsigned int c=0; c::max_children_per_cell; ++c) for (unsigned int j=0; j::build_dofs_cell (std::vector > &dofs_ ((c==1) && (j==0) && ((k % 2)==0))) dofs_subcell[c](j,k) = -1.; } - // lower diagonal block + // upper diagonal block else if ((j>=2) && (k>=2) && (j<=k)) { double factor = 1.; for (unsigned int i=1; i<=j; ++i) factor *= ((double) (k-i+1))/((double) i); + // factor == k * (k-1) * ... * (k-j+1) / j! = k! / (k-j)! / j! if (c==0) { dofs_subcell[c](j,k) = ((k+j) % 2 == 0) ? @@ -546,6 +761,9 @@ void FE_Q_Hierarchical::initialize_unit_support_points () // Lagrange functions used in // FE_Q), so there's not much we // can do here. + + // TODO shouldn't we just at least make support points unique, + // even though the delta property is not satisfied for this FE? unsigned int k=0; for (unsigned int iz=0; iz <= ((dim>2) ? this->degree : 0) ; ++iz) for (unsigned int iy=0; iy <= ((dim>1) ? this->degree : 0) ; ++iy) @@ -658,6 +876,12 @@ get_face_interpolation_matrix (const FiniteElement &x_source_fe, { case 2: { + // In 2-dimension the constraints are trivial. + // First this->dofs_per_face DoFs of the constrained + // element are made equal to the current (dominating) + // element, which corresponds to 1 on diagonal of the matrix. + // DoFs which correspond to higher polynomes + // are zeroed (zero rows in the matrix). for (unsigned int i = 0; i < this->dofs_per_face; ++i) interpolation_matrix (i, i) = 1; diff --git a/tests/fe/injection_q_hierarchical.cc b/tests/fe/injection_q_hierarchical.cc new file mode 100644 index 0000000000..0cc0379cdc --- /dev/null +++ b/tests/fe/injection_q_hierarchical.cc @@ -0,0 +1,32 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2006 - 2014 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + + +char logname[] = "output"; + + +#include "injection_common.h" +#include + +template +void test () +{ + deallog << std::setprecision (8); + + for (unsigned int i=1; i<4; ++i) + for (unsigned int j=i; j<4; ++j) + do_check (FE_Q_Hierarchical(i), FE_Q_Hierarchical(j)); +} diff --git a/tests/fe/injection_q_hierarchical.output b/tests/fe/injection_q_hierarchical.output new file mode 100644 index 0000000000..f4aaaa9ed7 --- /dev/null +++ b/tests/fe/injection_q_hierarchical.output @@ -0,0 +1,61259 @@ + +DEAL::0 0 0.75000000 +DEAL::0 1 0.25000000 +DEAL::1 0 0.50000000 +DEAL::1 1 0.50000000 +DEAL::0 0 0.50000000 +DEAL::0 1 0.50000000 +DEAL::1 0 0.25000000 +DEAL::1 1 0.75000000 +DEAL::0 0 0.75000000 +DEAL::0 1 0.25000000 +DEAL::1 0 0.50000000 +DEAL::1 1 0.50000000 +DEAL::2 0 0 +DEAL::2 1 0 +DEAL::0 0 0.50000000 +DEAL::0 1 0.50000000 +DEAL::1 0 0.25000000 +DEAL::1 1 0.75000000 +DEAL::2 0 0 +DEAL::2 1 0 +DEAL::0 0 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+DEAL::63 30 0 +DEAL::63 31 0 +DEAL::63 32 0 +DEAL::63 33 0 +DEAL::63 34 0 +DEAL::63 35 0 +DEAL::63 36 0 +DEAL::63 37 0 +DEAL::63 38 0 +DEAL::63 39 0 +DEAL::63 40 0 +DEAL::63 41 0 +DEAL::63 42 0 +DEAL::63 43 0 +DEAL::63 44 0 +DEAL::63 45 0 +DEAL::63 46 0 +DEAL::63 47 0 +DEAL::63 48 0 +DEAL::63 49 0 +DEAL::63 50 0 +DEAL::63 51 0 +DEAL::63 52 0 +DEAL::63 53 0 +DEAL::63 54 0 +DEAL::63 55 0 +DEAL::63 56 0 +DEAL::63 57 0 +DEAL::63 58 0 +DEAL::63 59 0 +DEAL::63 60 0 +DEAL::63 61 0 +DEAL::63 62 0 +DEAL::63 63 3.8146973e-06 diff --git a/tests/hp/hp_constraints_q_hierarchical.cc b/tests/hp/hp_constraints_q_hierarchical.cc new file mode 100644 index 0000000000..d233b27f49 --- /dev/null +++ b/tests/hp/hp_constraints_q_hierarchical.cc @@ -0,0 +1,71 @@ +// --------------------------------------------------------------------- +// +// Copyright (C) 2006 - 2014 by the deal.II authors +// +// This file is part of the deal.II library. +// +// The deal.II library is free software; you can use it, redistribute +// it, and/or modify it under the terms of the GNU Lesser General +// Public License as published by the Free Software Foundation; either +// version 2.1 of the License, or (at your option) any later version. +// The full text of the license can be found in the file LICENSE at +// the top level of the deal.II distribution. +// +// --------------------------------------------------------------------- + + + +// check that computation of hp constraints works for DGP_Monomial elements correctly + +char logname[] = "output"; + + +#include "hp_constraints_common.h" + + +template +void test () +{ + deallog << "Test for dim = " << dim << std::endl << std::endl; + hp::FECollection fe; + std::vector degrees; + for (unsigned int i=1; i<4; ++i) + { + fe.push_back (FE_Q_Hierarchical(i)); + degrees.push_back (i); + } + + deallog << "No hanging nodes test" << std::endl; + test_no_hanging_nodes (fe); + deallog << std::endl << std::endl; + + deallog << "Hanging nodes test" << std::endl; + test_with_hanging_nodes (fe); + deallog << std::endl << std::endl; + + deallog << "Wrong face orientation test" << std::endl; + test_with_wrong_face_orientation (fe); + deallog << std::endl << std::endl; + + deallog << "2d deformed mesh test" << std::endl; + test_with_2d_deformed_mesh (fe); + deallog << std::endl << std::endl; + + deallog << "2d deformed refined mesh test" << std::endl; + test_with_2d_deformed_refined_mesh (fe); + deallog << std::endl << std::endl; + + // don't run this test right now because + // this FE has no (meaningful) support points and + // therefore can't use + // VectorTools::interpolate + // deallog << "Interpolation test" << std::endl; + // test_interpolation (fe, degrees); + // deallog << std::endl << std::endl; + + deallog << "Random hanging nodes" << std::endl; + test_with_hanging_nodes_random (fe); + + deallog << std::endl << std::endl; + deallog << std::endl << std::endl; +} diff --git a/tests/hp/hp_constraints_q_hierarchical.output b/tests/hp/hp_constraints_q_hierarchical.output new file mode 100644 index 0000000000..d869ea1e5b --- /dev/null +++ b/tests/hp/hp_constraints_q_hierarchical.output @@ -0,0 +1,21329 @@ + +DEAL::Test for dim = 1 +DEAL:: +DEAL::No hanging nodes test +DEAL::n_dofs=16 +DEAL:: +DEAL:: +DEAL::Hanging nodes test +DEAL::n_dofs=14 +DEAL:: +DEAL:: +DEAL::Wrong face orientation test +DEAL:: +DEAL:: +DEAL::2d deformed mesh test +DEAL:: +DEAL:: +DEAL::2d deformed refined mesh test +DEAL:: +DEAL:: +DEAL::Random hanging nodes +DEAL::n_dofs=14 +DEAL:: +DEAL:: +DEAL:: +DEAL:: +DEAL::Test for dim = 2 +DEAL:: +DEAL::No hanging nodes test +DEAL::n_dofs=406 + 9 = 0 + 10 = 0 + 11 = 0 + 26 = 0 + 33 = 0 + 44 = 0 + 45 = 0 + 46 = 0 + 47 = 0 + 50 = 0 + 59 = 0 + 62 = 0 + 70 = 0 + 71 = 0 + 88 = 0 + 89 = 0 + 90 = 0 + 91 = 0 + 92 = 0 + 97 = 0 + 98 = 0 + 99 = 0 + 106 = 0 + 110 = 0 + 112 = 0 + 123 = 0 + 124 = 0 + 137 = 0 + 138 = 0 + 139 = 0 + 140 = 0 + 141 = 0 + 142 = 0 + 147 = 0 + 150 = 0 + 151 = 0 + 169 = 0 + 173 = 0 + 174 = 0 + 175 = 0 + 176 = 0 + 177 = 0 + 178 = 0 + 179 = 0 + 190 = 0 + 191 = 0 + 194 = 0 + 202 = 0 + 203 = 0 + 206 = 0 + 207 = 0 + 215 = 0 + 216 = 0 + 217 = 0 + 218 = 0 + 230 = 0 + 231 = 0 + 232 = 0 + 239 = 0 + 240 = 0 + 244 = 0 + 247 = 0 + 248 = 0 + 249 = 0 + 254 = 0 + 255 = 0 + 256 = 0 + 257 = 0 + 258 = 0 + 275 = 0 + 276 = 0 + 283 = 0 + 284 = 0 + 285 = 0 + 286 = 0 + 293 = 0 + 294 = 0 + 296 = 0 + 304 = 0 + 305 = 0 + 306 = 0 + 307 = 0 + 308 = 0 + 316 = 0 + 317 = 0 + 318 = 0 + 324 = 0 + 334 = 0 + 335 = 0 + 336 = 0 + 337 = 0 + 338 = 0 + 339 = 0 + 340 = 0 + 348 = 0 + 352 = 0 + 353 = 0 + 354 = 0 + 355 = 0 + 369 = 0 + 381 = 0 + 382 = 0 + 385 = 0 + 386 = 0 + 387 = 0 + 388 = 0 + 393 = 0 + 394 = 0 + 395 = 0 + 396 = 0 +DEAL:: +DEAL:: +DEAL::Hanging nodes test +DEAL::n_dofs=171 + 6 = 0 + 11 = 0 + 12 = 0 + 13 = 0 + 14 = 0 + 15 = 0 + 34 = 0 + 35 = 0 + 43 = 0 + 44 = 0 + 45 = 0 + 53 = 0 + 61 = 0 + 74 = 0 + 75 = 0 + 76 = 0 + 97 = 0 + 98 = 0 + 103 = 0 + 104 = 0 + 105 = 0 + 106 = 0 + 117 0: 0.5000000 + 117 2: 0.5000000 + 118 = 0 + 119 = 0 + 120 = 0 + 121 = 0 + 122 = 0 + 123 = 0 + 131 = 0 + 137 28: 0.5000000 + 137 33: -1.000000 + 137 136: 0.5000000 + 140 33: 0.2500000 + 142 = 0 + 145 = 0 + 146 = 0 + 147 33: 0.2500000 + 148 = 0 + 154 2: 0.5000000 + 154 165: 0.5000000 + 155 = 0 + 156 = 0 + 157 = 0 + 158 42: 0.2500000 + 159 = 0 + 164 28: 0.5000000 + 164 42: -1.000000 + 164 165: 0.5000000 + 167 = 0 + 168 = 0 + 169 42: 0.2500000 +DEAL:: +DEAL:: +DEAL::Wrong face orientation test +DEAL:: +DEAL:: +DEAL::2d deformed mesh test +DEAL::n_dofs=37 +DEAL:: +DEAL:: +DEAL::2d deformed refined mesh test +DEAL::n_dofs=49 + 2 = 0 + 4 = 0 + 12 = 0 + 13 = 0 + 18 = 0 + 19 = 0 + 36 7: 0.5000000 + 36 8: 0.5000000 + 38 0: 0.5000000 + 38 8: 0.5000000 + 39 = 0 + 40 = 0 + 43 = 0 + 44 = 0 +DEAL::n_dofs=32 + 6 2: 0.5000000 + 6 3: 0.5000000 + 7 2: 0.5000000 + 7 5: 0.5000000 + 8 = 0 + 10 = 0 + 13 = 0 + 16 = 0 + 17 = 0 + 18 = 0 + 19 = 0 + 24 = 0 + 25 = 0 +DEAL::n_dofs=50 + 5 = 0 + 6 = 0 + 9 = 0 + 10 = 0 + 20 = 0 + 21 = 0 + 22 = 0 + 29 0: 0.5000000 + 29 2: 0.5000000 + 31 = 0 + 32 = 0 + 33 = 0 + 38 = 0 + 39 = 0 + 47 2: 0.5000000 + 47 49: 0.5000000 +DEAL:: +DEAL:: +DEAL::Random hanging nodes +DEAL::n_dofs=1367 + 23 = 0 + 24 = 0 + 31 = 0 + 32 = 0 + 33 = 0 + 34 = 0 + 46 = 0 + 49 = 0 + 50 = 0 + 66 = 0 + 67 = 0 + 73 = 0 + 74 = 0 + 75 = 0 + 76 = 0 + 79 = 0 + 80 = 0 + 81 = 0 + 84 = 0 + 85 = 0 + 86 = 0 + 87 = 0 + 88 = 0 + 89 = 0 + 90 = 0 + 96 = 0 + 97 = 0 + 98 = 0 + 103 = 0 + 104 = 0 + 105 = 0 + 106 = 0 + 112 = 0 + 117 = 0 + 118 = 0 + 119 = 0 + 126 = 0 + 133 = 0 + 134 = 0 + 136 = 0 + 137 = 0 + 138 = 0 + 145 = 0 + 146 = 0 + 155 = 0 + 156 = 0 + 161 = 0 + 162 = 0 + 172 = 0 + 183 = 0 + 186 = 0 + 191 = 0 + 192 = 0 + 193 = 0 + 200 = 0 + 203 = 0 + 204 = 0 + 205 = 0 + 206 = 0 + 213 = 0 + 214 = 0 + 215 = 0 + 216 = 0 + 217 = 0 + 218 = 0 + 226 = 0 + 235 = 0 + 236 = 0 + 237 = 0 + 238 = 0 + 244 0: 0.5000000 + 244 3: -1.000000 + 244 9: 0.5000000 + 246 3: 0.2500000 + 252 8: 0.5000000 + 252 9: 0.5000000 + 253 = 0 + 254 = 0 + 255 3: 0.2500000 + 256 = 0 + 257 = 0 + 258 = 0 + 259 = 0 + 264 = 0 + 265 = 0 + 268 = 0 + 269 = 0 + 279 = 0 + 285 = 0 + 286 = 0 + 287 = 0 + 288 = 0 + 289 = 0 + 298 = 0 + 306 = 0 + 309 = 0 + 310 = 0 + 311 = 0 + 316 = 0 + 317 = 0 + 318 = 0 + 327 12: 0.5000000 + 327 13: 0.5000000 + 333 = 0 + 334 = 0 + 335 = 0 + 340 = 0 + 341 = 0 + 342 = 0 + 343 = 0 + 348 12: 0.5000000 + 348 14: 0.5000000 + 349 = 0 + 350 = 0 + 351 = 0 + 352 = 0 + 363 14: 0.5000000 + 363 70: 0.5000000 + 364 = 0 + 365 = 0 + 366 = 0 + 367 = 0 + 368 = 0 + 369 = 0 + 374 = 0 + 375 = 0 + 376 = 0 + 377 = 0 + 378 = 0 + 379 = 0 + 380 = 0 + 381 = 0 + 394 = 0 + 395 = 0 + 396 = 0 + 398 10: 0.5000000 + 398 111: 0.5000000 + 402 = 0 + 403 = 0 + 404 = 0 + 409 = 0 + 410 = 0 + 411 = 0 + 413 = 0 + 419 = 0 + 420 = 0 + 422 10: 0.5000000 + 422 11: 0.5000000 + 423 = 0 + 424 = 0 + 427 = 0 + 428 = 0 + 429 = 0 + 430 = 0 + 437 = 0 + 438 = 0 + 448 = 0 + 449 = 0 + 450 = 0 + 451 = 0 + 452 = 0 + 459 = 0 + 468 = 0 + 471 = 0 + 474 = 0 + 475 = 0 + 476 = 0 + 477 6: 0.2500000 + 478 = 0 + 479 = 0 + 484 2: 0.5000000 + 484 6: -1.000000 + 484 9: 0.5000000 + 488 6: 0.2500000 + 491 9: 0.5000000 + 491 11: 0.5000000 + 493 = 0 + 498 = 0 + 501 1: 0.5000000 + 501 2: 0.5000000 + 501 4: -1.000000 + 502 4: 0.2500000 + 503 = 0 + 504 = 0 + 516 = 0 + 519 4: 0.2500000 + 520 = 0 + 521 = 0 + 527 = 0 + 530 = 0 + 531 = 0 + 533 = 0 + 536 = 0 + 537 = 0 + 538 = 0 + 539 = 0 + 551 61: 0.5000000 + 551 62: 0.5000000 + 553 = 0 + 565 = 0 + 567 = 0 + 569 = 0 + 570 = 0 + 577 = 0 + 578 = 0 + 579 = 0 + 580 = 0 + 581 = 0 + 586 179: 0.5000000 + 586 180: 0.5000000 + 588 = 0 + 589 = 0 + 590 = 0 + 598 180: 0.5000000 + 598 182: 0.5000000 + 600 = 0 + 602 = 0 + 603 = 0 + 605 = 0 + 606 = 0 + 607 = 0 + 608 = 0 + 614 39: 0.5000000 + 614 613: 0.5000000 + 617 39: 0.5000000 + 617 41: 0.5000000 + 618 41: 0.5000000 + 618 188: 0.5000000 + 619 42: 0.5000000 + 619 111: 0.5000000 + 619 115: -1.000000 + 620 = 0 + 622 115: 0.2500000 + 623 = 0 + 625 = 0 + 626 = 0 + 627 115: 0.2500000 + 628 = 0 + 629 = 0 + 634 42: 0.5000000 + 634 636: 0.5000000 + 638 = 0 + 639 = 0 + 643 = 0 + 645 = 0 + 646 = 0 + 648 = 0 + 649 = 0 + 650 = 0 + 651 = 0 + 656 636: 0.5000000 + 656 658: 0.5000000 + 664 = 0 + 665 = 0 + 671 = 0 + 672 = 0 + 673 = 0 + 674 = 0 + 675 = 0 + 684 = 0 + 685 = 0 + 686 = 0 + 687 = 0 + 688 = 0 + 689 = 0 + 690 = 0 + 699 43: 0.5000000 + 699 683: 0.5000000 + 700 = 0 + 701 = 0 + 704 = 0 + 705 = 0 + 706 = 0 + 707 = 0 + 712 = 0 + 713 = 0 + 714 = 0 + 720 45: -1.000000 + 720 683: 0.5000000 + 720 733: 0.5000000 + 722 45: 0.2500000 + 723 = 0 + 734 45: 0.2500000 + 737 60: 0.5000000 + 737 62: 0.5000000 + 738 60: 0.5000000 + 738 64: 0.5000000 + 740 = 0 + 741 = 0 + 742 = 0 + 743 = 0 + 744 = 0 + 745 = 0 + 746 = 0 + 751 = 0 + 752 = 0 + 753 = 0 + 754 = 0 + 755 = 0 + 756 135: 0.2500000 + 757 = 0 + 762 64: 0.5000000 + 762 70: 0.5000000 + 762 135: -1.000000 + 764 = 0 + 766 135: 0.2500000 + 768 72: 0.5000000 + 768 101: 0.5000000 + 769 72: 0.5000000 + 769 78: 0.5000000 + 772 = 0 + 773 = 0 + 774 = 0 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0.2500000 + 1823 1818: 0.2500000 + 1823 1825: 0.2500000 + 1827 221: 0.5000000 + 1827 1825: 0.5000000 + 1830 2515: 1.000000 + 1831 = 0 + 1832 1907: 1.000000 + 1833 = 0 + 1834 1909: 1.000000 + 1835 = 0 + 1836 1910: 1.000000 + 1837 = 0 + 1846 = 0 + 1847 = 0 + 1848 = 0 + 1861 1804: 1.000000 + 1862 = 0 + 1863 = 0 + 1864 = 0 + 1865 2052: 1.000000 + 1866 = 0 + 1867 1596: 1.000000 + 1868 = 0 + 1869 1924: 1.000000 + 1870 = 0 + 1871 = 0 + 1872 = 0 + 1873 1926: 1.000000 + 1874 = 0 + 1875 = 0 + 1876 = 0 + 1877 = 0 + 1878 = 0 + 1879 = 0 + 1880 = 0 + 1881 = 0 + 1882 = 0 + 1883 = 0 + 1884 = 0 + 1885 = 0 + 1886 = 0 + 1887 = 0 + 1888 = 0 + 1889 = 0 + 1900 221: 0.5000000 + 1900 332: 0.5000000 + 1901 = 0 + 1902 = 0 + 1903 = 0 + 1904 = 0 + 1908 = 0 + 1911 = 0 + 1912 = 0 + 1916 = 0 + 1917 = 0 + 1921 = 0 + 1922 = 0 + 1925 = 0 + 1927 = 0 + 1930 = 0 + 1931 = 0 + 1934 1800: 1.000000 + 1935 = 0 + 1938 1689: 1.000000 + 1939 = 0 + 1940 = 0 + 1941 = 0 + 1942 2050: 1.000000 + 1943 = 0 + 1944 = 0 + 1945 = 0 + 1946 = 0 + 1947 = 0 + 1948 = 0 + 1949 = 0 + 1950 = 0 + 1951 = 0 + 1952 = 0 + 1953 = 0 + 1954 = 0 + 1955 = 0 + 1956 = 0 + 1961 = 0 + 1962 = 0 + 1963 = 0 + 1964 = 0 + 1965 = 0 + 1966 = 0 + 1967 = 0 + 1972 = 0 + 1973 = 0 + 1974 = 0 + 1983 = 0 + 1984 = 0 + 1985 = 0 + 1986 = 0 + 1987 2033: 1.000000 + 1988 = 0 + 1989 = 0 + 1990 = 0 + 1991 = 0 + 1992 = 0 + 1993 = 0 + 1994 = 0 + 1995 = 0 + 1996 = 0 + 1997 = 0 + 1998 = 0 + 1999 = 0 + 2000 = 0 + 2001 = 0 + 2002 = 0 + 2003 = 0 + 2004 = 0 + 2005 = 0 + 2006 = 0 + 2007 = 0 + 2008 = 0 + 2009 = 0 + 2027 468: 0.5000000 + 2027 1825: 0.5000000 + 2029 221: 0.2500000 + 2029 468: 0.2500000 + 2029 472: 0.2500000 + 2029 1825: 0.2500000 + 2030 2: 0.5000000 + 2030 468: 0.5000000 + 2031 = 0 + 2032 = 0 + 2034 = 0 + 2035 = 0 + 2036 = 0 + 2037 = 0 + 2038 = 0 + 2039 = 0 + 2040 = 0 + 2041 = 0 + 2042 = 0 + 2043 = 0 + 2044 = 0 + 2046 = 0 + 2048 = 0 + 2051 = 0 + 2054 = 0 + 2056 = 0 + 2059 = 0 + 2064 2053: 1.000000 + 2065 = 0 + 2066 = 0 + 2067 = 0 + 2068 1746: 1.000000 + 2069 = 0 + 2070 = 0 + 2071 = 0 + 2072 = 0 + 2073 = 0 + 2074 = 0 + 2075 = 0 + 2076 = 0 + 2077 = 0 + 2078 = 0 + 2079 = 0 + 2080 = 0 + 2081 = 0 + 2082 = 0 + 2083 = 0 + 2084 = 0 + 2085 = 0 + 2086 = 0 + 2087 = 0 + 2088 = 0 + 2089 = 0 + 2090 = 0 + 2091 = 0 + 2092 = 0 + 2093 = 0 + 2106 = 0 + 2107 = 0 + 2108 = 0 + 2109 = 0 + 2110 = 0 + 2111 = 0 + 2112 = 0 + 2115 2: 0.2500000 + 2115 6: 0.2500000 + 2115 468: 0.2500000 + 2115 472: 0.2500000 + 2116 468: 0.5000000 + 2116 472: 0.5000000 + 2118 6: 0.5000000 + 2118 472: 0.5000000 + 2119 221: 0.5000000 + 2119 472: 0.5000000 + 2120 = 0 + 2121 = 0 + 2122 = 0 + 2123 = 0 + 2124 2240: 1.000000 + 2125 = 0 + 2126 = 0 + 2127 = 0 + 2128 2241: 1.000000 + 2129 = 0 + 2130 = 0 + 2131 = 0 + 2134 2176: 1.000000 + 2135 = 0 + 2136 = 0 + 2137 = 0 + 2138 2178: 1.000000 + 2139 = 0 + 2144 = 0 + 2145 = 0 + 2146 = 0 + 2151 = 0 + 2152 = 0 + 2153 = 0 + 2154 = 0 + 2155 = 0 + 2156 = 0 + 2157 = 0 + 2158 = 0 + 2159 = 0 + 2160 = 0 + 2161 = 0 + 2172 = 0 + 2173 = 0 + 2174 = 0 + 2175 = 0 + 2177 = 0 + 2179 = 0 + 2181 = 0 + 2185 = 0 + 2193 = 0 + 2194 = 0 + 2195 = 0 + 2196 = 0 + 2197 = 0 + 2198 = 0 + 2199 = 0 + 2200 = 0 + 2201 2518: 1.000000 + 2202 = 0 + 2203 = 0 + 2204 = 0 + 2205 = 0 + 2206 = 0 + 2207 = 0 + 2208 = 0 + 2209 = 0 + 2210 = 0 + 2211 = 0 + 2212 = 0 + 2213 = 0 + 2214 = 0 + 2215 = 0 + 2216 = 0 + 2217 = 0 + 2218 = 0 + 2219 = 0 + 2220 = 0 + 2221 = 0 + 2222 = 0 + 2223 = 0 + 2224 = 0 + 2225 = 0 + 2239 595: 0.5000000 + 2239 597: 0.5000000 + 2242 = 0 + 2243 = 0 + 2244 = 0 + 2245 = 0 + 2246 = 0 + 2248 = 0 + 2250 = 0 + 2252 = 0 + 2256 = 0 + 2261 595: 0.5000000 + 2261 596: 0.5000000 + 2262 595: 0.2500000 + 2262 596: 0.2500000 + 2262 597: 0.2500000 + 2262 598: 0.2500000 + 2263 596: 0.5000000 + 2263 598: 0.5000000 + 2264 = 0 + 2265 = 0 + 2266 = 0 + 2267 = 0 + 2268 = 0 + 2269 = 0 + 2270 = 0 + 2271 = 0 + 2274 = 0 + 2275 = 0 + 2276 = 0 + 2278 = 0 + 2279 = 0 + 2280 = 0 + 2281 = 0 + 2282 = 0 + 2283 = 0 + 2284 = 0 + 2285 = 0 + 2286 = 0 + 2287 = 0 + 2288 = 0 + 2289 = 0 + 2290 = 0 + 2291 = 0 + 2292 = 0 + 2293 = 0 + 2294 = 0 + 2295 = 0 + 2296 = 0 + 2297 = 0 + 2298 = 0 + 2299 = 0 + 2300 = 0 + 2301 = 0 + 2302 = 0 + 2303 = 0 + 2304 = 0 + 2309 = 0 + 2310 = 0 + 2311 = 0 + 2312 = 0 + 2325 = 0 + 2326 = 0 + 2327 = 0 + 2328 = 0 + 2329 1726: 1.000000 + 2330 = 0 + 2331 1727: 1.000000 + 2332 = 0 + 2333 = 0 + 2334 = 0 + 2335 = 0 + 2336 = 0 + 2337 = 0 + 2338 = 0 + 2339 2384: 1.000000 + 2340 = 0 + 2341 = 0 + 2342 = 0 + 2343 = 0 + 2344 = 0 + 2345 = 0 + 2346 = 0 + 2347 = 0 + 2348 = 0 + 2349 = 0 + 2350 = 0 + 2351 = 0 + 2352 = 0 + 2353 = 0 + 2354 = 0 + 2355 = 0 + 2356 = 0 + 2361 = 0 + 2362 = 0 + 2363 = 0 + 2364 = 0 + 2365 = 0 + 2366 = 0 + 2367 = 0 + 2368 = 0 + 2369 = 0 + 2370 = 0 + 2381 6: 0.5000000 + 2381 129: 0.5000000 + 2382 = 0 + 2383 = 0 + 2386 = 0 + 2387 = 0 + 2388 = 0 + 2389 = 0 + 2390 = 0 + 2391 = 0 + 2396 = 0 + 2397 = 0 + 2398 = 0 + 2399 = 0 + 2400 = 0 + 2401 = 0 + 2402 = 0 + 2403 = 0 + 2404 = 0 + 2405 = 0 + 2406 = 0 + 2407 = 0 + 2408 = 0 + 2410 = 0 + 2411 = 0 + 2412 = 0 + 2414 4: 0.5000000 + 2414 127: 0.5000000 + 2415 4: 0.2500000 + 2415 6: 0.2500000 + 2415 127: 0.2500000 + 2415 129: 0.2500000 + 2416 127: 0.5000000 + 2416 596: 0.5000000 + 2417 127: 0.2500000 + 2417 129: 0.2500000 + 2417 596: 0.2500000 + 2417 598: 0.2500000 + 2418 127: 0.5000000 + 2418 129: 0.5000000 + 2419 129: 0.5000000 + 2419 598: 0.5000000 + 2420 = 0 + 2421 = 0 + 2422 = 0 + 2423 = 0 + 2424 2385: 1.000000 + 2425 = 0 + 2426 = 0 + 2427 = 0 + 2428 = 0 + 2429 = 0 + 2430 = 0 + 2431 = 0 + 2432 = 0 + 2433 = 0 + 2434 = 0 + 2435 = 0 + 2436 = 0 + 2437 = 0 + 2438 = 0 + 2439 = 0 + 2440 = 0 + 2441 = 0 + 2442 = 0 + 2443 = 0 + 2444 = 0 + 2445 = 0 + 2446 = 0 + 2447 = 0 + 2448 = 0 + 2449 = 0 + 2450 = 0 + 2451 = 0 + 2452 = 0 + 2453 = 0 + 2458 = 0 + 2459 = 0 + 2460 = 0 + 2461 = 0 + 2462 = 0 + 2463 = 0 + 2464 = 0 + 2473 = 0 + 2474 = 0 + 2475 2516: 1.000000 + 2476 = 0 + 2477 = 0 + 2478 = 0 + 2479 = 0 + 2480 = 0 + 2481 = 0 + 2482 = 0 + 2485 2522: 1.000000 + 2486 = 0 + 2491 = 0 + 2492 = 0 + 2493 = 0 + 2494 = 0 + 2495 = 0 + 2496 = 0 + 2497 = 0 + 2502 = 0 + 2503 = 0 + 2504 = 0 + 2505 = 0 + 2531 1905: 1.000000 + 2532 = 0 + 2533 1906: 1.000000 + 2534 = 0 + 2535 337: 0.2500000 + 2536 = 0 + 2537 2659: 1.000000 + 2538 = 0 + 2539 2660: 1.000000 + 2540 = 0 + 2541 337: 0.1250000 + 2541 341: 0.1250000 + 2541 349: -0.2500000 + 2542 = 0 + 2543 343: 0.2500000 + 2544 = 0 + 2545 343: 0.1250000 + 2545 344: 0.1250000 + 2545 349: -0.2500000 + 2546 = 0 + 2555 349: 0.06250000 + 2556 = 0 + 2557 = 0 + 2558 = 0 + 2559 = 0 + 2560 = 0 + 2561 = 0 + 2562 = 0 + 2563 = 0 + 2564 = 0 + 2573 1923: 1.000000 + 2574 = 0 + 2575 337: 0.2500000 + 2576 = 0 + 2577 2785: 1.000000 + 2578 = 0 + 2579 2519: 1.000000 + 2580 = 0 + 2581 337: 0.1250000 + 2581 341: 0.1250000 + 2581 349: -0.2500000 + 2582 = 0 + 2583 2523: 1.000000 + 2584 = 0 + 2585 344: 0.2500000 + 2586 = 0 + 2587 = 0 + 2588 = 0 + 2589 = 0 + 2590 = 0 + 2591 = 0 + 2592 = 0 + 2593 349: 0.06250000 + 2594 = 0 + 2595 = 0 + 2596 = 0 + 2597 = 0 + 2598 = 0 + 2599 = 0 + 2614 597: 0.5000000 + 2614 598: 0.5000000 + 2615 334: 0.5000000 + 2615 597: 0.5000000 + 2616 334: 0.2500000 + 2616 597: 0.2500000 + 2616 598: 0.2500000 + 2616 1078: 0.2500000 + 2617 2517: 1.000000 + 2618 = 0 + 2619 = 0 + 2620 = 0 + 2621 = 0 + 2622 = 0 + 2623 = 0 + 2624 = 0 + 2625 = 0 + 2626 = 0 + 2627 2865: 1.000000 + 2628 = 0 + 2629 = 0 + 2630 = 0 + 2631 = 0 + 2632 = 0 + 2641 = 0 + 2642 = 0 + 2643 = 0 + 2644 = 0 + 2645 = 0 + 2646 = 0 + 2647 = 0 + 2656 332: 0.5000000 + 2656 334: 0.5000000 + 2656 343: -1.000000 + 2657 221: 0.2500000 + 2657 332: 0.2500000 + 2657 334: 0.2500000 + 2657 337: -0.5000000 + 2657 341: -0.5000000 + 2657 343: -0.5000000 + 2657 344: -0.5000000 + 2657 349: 1.000000 + 2657 1078: 0.2500000 + 2658 334: 0.5000000 + 2658 341: -1.000000 + 2658 1078: 0.5000000 + 2661 = 0 + 2662 337: 0.1250000 + 2662 341: 0.1250000 + 2662 349: -0.2500000 + 2663 = 0 + 2664 = 0 + 2665 = 0 + 2666 341: 0.2500000 + 2667 = 0 + 2668 = 0 + 2669 343: 0.2500000 + 2670 343: 0.1250000 + 2670 344: 0.1250000 + 2670 349: -0.2500000 + 2673 = 0 + 2674 349: 0.06250000 + 2676 = 0 + 2678 = 0 + 2679 = 0 + 2680 = 0 + 2681 = 0 + 2682 341: 0.2500000 + 2683 = 0 + 2684 343: 0.1250000 + 2684 344: 0.1250000 + 2684 349: -0.2500000 + 2685 = 0 + 2686 344: 0.2500000 + 2687 = 0 + 2688 = 0 + 2689 = 0 + 2690 = 0 + 2691 = 0 + 2692 = 0 + 2693 = 0 + 2694 349: 0.06250000 + 2695 = 0 + 2696 = 0 + 2697 = 0 + 2698 = 0 + 2699 = 0 + 2700 = 0 + 2701 = 0 + 2710 = 0 + 2711 = 0 + 2712 2055: 1.000000 + 2713 = 0 + 2716 = 0 + 2717 = 0 + 2718 2787: 1.000000 + 2719 = 0 + 2720 = 0 + 2721 = 0 + 2722 = 0 + 2723 = 0 + 2724 = 0 + 2725 = 0 + 2726 = 0 + 2731 = 0 + 2732 = 0 + 2733 = 0 + 2734 = 0 + 2735 = 0 + 2736 = 0 + 2737 = 0 + 2738 = 0 + 2739 = 0 + 2740 = 0 + 2753 = 0 + 2754 = 0 + 2755 = 0 + 2756 = 0 + 2757 = 0 + 2758 = 0 + 2759 = 0 + 2760 = 0 + 2761 = 0 + 2762 = 0 + 2763 = 0 + 2764 = 0 + 2765 = 0 + 2766 = 0 + 2767 = 0 + 2768 = 0 + 2769 = 0 + 2770 = 0 + 2771 = 0 + 2784 221: 0.5000000 + 2784 344: -1.000000 + 2784 1078: 0.5000000 + 2786 = 0 + 2788 = 0 + 2789 = 0 + 2790 = 0 + 2791 = 0 + 2793 = 0 + 2795 = 0 + 2799 6: 0.2500000 + 2799 129: 0.2500000 + 2799 472: 0.2500000 + 2799 1079: 0.2500000 + 2800 221: 0.2500000 + 2800 472: 0.2500000 + 2800 1078: 0.2500000 + 2800 1079: 0.2500000 + 2801 472: 0.5000000 + 2801 1079: 0.5000000 + 2802 704: -0.2500000 + 2803 = 0 + 2804 = 0 + 2805 = 0 + 2806 704: -0.2500000 + 2807 = 0 + 2808 2866: 1.000000 + 2809 = 0 + 2814 = 0 + 2815 = 0 + 2816 = 0 + 2817 = 0 + 2818 = 0 + 2819 = 0 + 2820 = 0 + 2821 704: 0.06250000 + 2822 = 0 + 2823 = 0 + 2824 = 0 + 2833 = 0 + 2834 = 0 + 2835 704: -0.2500000 + 2836 = 0 + 2837 = 0 + 2838 = 0 + 2839 = 0 + 2840 = 0 + 2841 = 0 + 2842 = 0 + 2843 = 0 + 2844 = 0 + 2845 = 0 + 2846 704: 0.06250000 + 2847 = 0 + 2848 = 0 + 2849 = 0 + 2858 598: 0.5000000 + 2858 1078: 0.5000000 + 2859 129: 0.2500000 + 2859 598: 0.2500000 + 2859 704: 1.000000 + 2859 1078: 0.2500000 + 2859 1079: 0.2500000 + 2860 1078: 0.5000000 + 2860 1079: 0.5000000 + 2861 = 0 + 2862 704: -0.2500000 + 2863 704: -0.2500000 + 2864 = 0 + 2867 = 0 + 2868 = 0 + 2872 = 0 + 2873 704: 0.06250000 + 2875 129: 0.5000000 + 2875 1079: 0.5000000 + 2876 = 0 + 2877 = 0 + 2878 = 0 + 2879 = 0 + 2880 704: -0.2500000 + 2881 = 0 + 2882 = 0 + 2883 = 0 + 2884 = 0 + 2886 = 0 + 2887 = 0 + 2888 704: 0.06250000 +DEAL:: +DEAL:: +DEAL::Wrong face orientation test +DEAL::n_dofs=323 + 1 = 0 + 4 = 0 + 5 = 0 + 6 = 0 + 7 = 0 + 8 = 0 + 9 = 0 + 11 = 0 + 12 = 0 + 13 = 0 + 16 = 0 + 18 = 0 + 20 10: 1.000000 + 21 = 0 + 22 = 0 + 23 = 0 + 24 2: 1.000000 + 25 = 0 + 26 = 0 + 27 = 0 + 28 77: 1.000000 + 29 = 0 + 30 = 0 + 31 = 0 + 32 85: 1.000000 + 33 = 0 + 34 = 0 + 35 = 0 + 38 = 0 + 39 = 0 + 40 = 0 + 41 = 0 + 42 = 0 + 43 = 0 + 48 = 0 + 49 = 0 + 50 = 0 + 51 = 0 + 56 = 0 + 57 = 0 + 58 = 0 + 59 = 0 + 60 = 0 + 61 = 0 + 62 = 0 + 63 = 0 + 64 = 0 + 65 = 0 + 76 = 0 + 79 = 0 + 80 = 0 + 81 = 0 + 82 = 0 + 83 = 0 + 84 = 0 + 86 = 0 + 87 = 0 + 88 = 0 + 91 = 0 + 93 = 0 + 103 = 0 + 104 = 0 + 105 3: 1.000000 + 106 = 0 + 107 = 0 + 108 = 0 + 109 = 0 + 110 = 0 + 111 78: 1.000000 + 112 = 0 + 113 = 0 + 114 = 0 + 115 = 0 + 116 = 0 + 117 = 0 + 118 = 0 + 119 = 0 + 120 = 0 + 121 = 0 + 122 = 0 + 127 = 0 + 128 = 0 + 129 = 0 + 130 = 0 + 131 = 0 + 132 = 0 + 133 = 0 + 134 = 0 + 135 = 0 + 136 = 0 + 149 96: 0.5000000 + 149 156: 0.5000000 + 150 96: 0.5000000 + 150 98: 0.5000000 + 151 96: 0.2500000 + 151 98: 0.2500000 + 151 146: 0.2500000 + 151 156: 0.2500000 + 152 96: 0.5000000 + 152 100: 0.5000000 + 153 75: 0.2500000 + 153 96: 0.2500000 + 153 100: 0.2500000 + 153 156: 0.2500000 + 154 96: 0.2500000 + 154 98: 0.2500000 + 154 100: 0.2500000 + 154 102: 0.2500000 + 157 146: 0.5000000 + 157 156: 0.5000000 + 158 75: 0.5000000 + 158 156: 0.5000000 + 159 75: 0.2500000 + 159 146: 0.2500000 + 159 148: 0.2500000 + 159 156: 0.2500000 + 160 98: 0.5000000 + 160 146: 0.5000000 + 161 98: 0.5000000 + 161 102: 0.5000000 + 162 98: 0.2500000 + 162 102: 0.2500000 + 162 146: 0.2500000 + 162 148: 0.2500000 + 163 = 0 + 164 = 0 + 165 = 0 + 166 = 0 + 167 = 0 + 168 = 0 + 169 = 0 + 170 = 0 + 171 = 0 + 172 = 0 + 173 = 0 + 174 = 0 + 175 = 0 + 176 = 0 + 177 = 0 + 178 = 0 + 179 = 0 + 180 = 0 + 181 = 0 + 182 = 0 + 183 = 0 + 184 = 0 + 185 = 0 + 186 = 0 + 187 = 0 + 188 = 0 + 189 = 0 + 190 = 0 + 191 = 0 + 192 = 0 + 193 = 0 + 194 = 0 + 195 = 0 + 196 = 0 + 197 = 0 + 198 = 0 + 199 = 0 + 200 = 0 + 201 = 0 + 202 = 0 + 203 = 0 + 204 = 0 + 205 = 0 + 206 = 0 + 207 = 0 + 208 = 0 + 209 = 0 + 210 = 0 + 219 75: 0.5000000 + 219 100: 0.5000000 + 220 = 0 + 221 = 0 + 222 = 0 + 223 = 0 + 224 = 0 + 225 = 0 + 226 = 0 + 227 = 0 + 228 = 0 + 229 = 0 + 230 = 0 + 231 = 0 + 232 = 0 + 233 = 0 + 234 = 0 + 235 = 0 + 236 = 0 + 237 = 0 + 238 = 0 + 239 = 0 + 240 = 0 + 241 = 0 + 242 = 0 + 243 = 0 + 244 = 0 + 245 = 0 + 246 = 0 + 247 = 0 + 252 = 0 + 253 = 0 + 254 = 0 + 255 = 0 + 256 = 0 + 257 = 0 + 258 = 0 + 259 = 0 + 260 = 0 + 261 = 0 + 262 = 0 + 263 = 0 + 264 = 0 + 265 = 0 + 266 = 0 + 267 = 0 + 276 = 0 + 277 = 0 + 278 = 0 + 279 = 0 + 280 = 0 + 281 = 0 + 282 = 0 + 283 = 0 + 284 = 0 + 285 = 0 + 286 = 0 + 287 = 0 + 288 = 0 + 289 = 0 + 290 = 0 + 291 = 0 + 292 = 0 + 293 = 0 + 294 = 0 + 295 = 0 + 296 = 0 + 297 = 0 + 298 = 0 + 299 = 0 + 300 = 0 + 301 = 0 + 302 = 0 + 303 = 0 + 304 = 0 + 305 = 0 + 306 = 0 + 307 = 0 + 308 = 0 + 309 = 0 + 318 100: 0.5000000 + 318 102: 0.5000000 + 319 75: 0.2500000 + 319 100: 0.2500000 + 319 102: 0.2500000 + 319 148: 0.2500000 + 320 102: 0.5000000 + 320 148: 0.5000000 + 321 146: 0.5000000 + 321 148: 0.5000000 + 322 75: 0.5000000 + 322 148: 0.5000000 +DEAL::n_dofs=322 + 2 = 0 + 3 = 0 + 4 = 0 + 5 = 0 + 7 = 0 + 8 = 0 + 10 = 0 + 11 = 0 + 13 = 0 + 15 = 0 + 16 = 0 + 18 = 0 + 30 = 0 + 31 = 0 + 32 = 0 + 34 = 0 + 37 = 0 + 39 = 0 + 41 = 0 + 46 = 0 + 47 = 0 + 48 = 0 + 49 = 0 + 50 = 0 + 51 = 0 + 52 = 0 + 53 36: 1.000000 + 54 = 0 + 55 6: 1.000000 + 56 = 0 + 57 = 0 + 58 = 0 + 59 33: 1.000000 + 60 = 0 + 61 = 0 + 62 = 0 + 63 = 0 + 64 = 0 + 67 12: 1.000000 + 68 = 0 + 73 = 0 + 74 = 0 + 75 = 0 + 76 = 0 + 77 = 0 + 78 = 0 + 79 = 0 + 85 = 0 + 86 = 0 + 87 = 0 + 88 = 0 + 89 = 0 + 90 = 0 + 103 = 0 + 104 = 0 + 105 = 0 + 106 = 0 + 107 = 0 + 108 = 0 + 109 35: 1.000000 + 110 = 0 + 111 9: 1.000000 + 112 = 0 + 113 = 0 + 114 = 0 + 115 = 0 + 116 = 0 + 117 = 0 + 118 = 0 + 123 = 0 + 124 = 0 + 125 = 0 + 126 = 0 + 127 = 0 + 128 = 0 + 129 = 0 + 130 = 0 + 131 = 0 + 132 = 0 + 133 = 0 + 134 = 0 + 135 = 0 + 136 = 0 + 145 21: 0.5000000 + 145 99: 0.5000000 + 146 44: 0.5000000 + 146 45: -1.000000 + 146 99: 0.5000000 + 148 99: 0.5000000 + 148 100: 0.5000000 + 149 0: 0.2500000 + 149 44: 0.2500000 + 149 45: -0.5000000 + 149 84: 1.000000 + 149 99: 0.2500000 + 149 100: 0.2500000 + 150 45: 0.2500000 + 152 = 0 + 154 45: 0.1250000 + 154 84: -0.2500000 + 155 = 0 + 156 = 0 + 158 = 0 + 159 = 0 + 160 84: -0.2500000 + 162 84: 0.06250000 + 164 = 0 + 169 21: 0.5000000 + 169 22: 0.5000000 + 170 = 0 + 171 = 0 + 173 = 0 + 174 = 0 + 175 = 0 + 176 = 0 + 177 = 0 + 178 = 0 + 179 = 0 + 182 = 0 + 184 0: 0.5000000 + 184 44: 0.5000000 + 185 45: 0.2500000 + 186 = 0 + 187 240: 1.000000 + 188 = 0 + 189 153: 1.000000 + 190 = 0 + 191 = 0 + 192 = 0 + 193 45: 0.1250000 + 193 84: -0.2500000 + 194 = 0 + 195 = 0 + 196 = 0 + 197 157: 1.000000 + 198 = 0 + 199 = 0 + 200 = 0 + 201 84: -0.2500000 + 202 = 0 + 203 161: 1.000000 + 204 = 0 + 205 = 0 + 206 = 0 + 207 = 0 + 208 = 0 + 209 84: 0.06250000 + 210 = 0 + 211 = 0 + 212 = 0 + 213 = 0 + 214 = 0 + 215 = 0 + 216 = 0 + 217 = 0 + 218 = 0 + 219 = 0 + 220 = 0 + 221 = 0 + 222 = 0 + 239 22: 0.5000000 + 239 44: 0.5000000 + 241 = 0 + 242 = 0 + 243 = 0 + 244 = 0 + 245 = 0 + 246 = 0 + 247 = 0 + 249 = 0 + 250 = 0 + 252 = 0 + 254 0: 0.5000000 + 254 100: 0.5000000 + 255 = 0 + 256 = 0 + 257 = 0 + 258 = 0 + 259 = 0 + 260 = 0 + 261 84: -0.2500000 + 262 = 0 + 263 84: 0.06250000 + 264 = 0 + 265 = 0 + 267 = 0 + 269 21: 0.2500000 + 269 23: 0.2500000 + 269 99: 0.2500000 + 269 100: 0.2500000 + 270 21: 0.5000000 + 270 23: 0.5000000 + 272 21: 0.2500000 + 272 22: 0.2500000 + 272 23: 0.2500000 + 272 24: 0.2500000 + 273 23: 0.5000000 + 273 100: 0.5000000 + 274 0: 0.2500000 + 274 23: 0.2500000 + 274 24: 0.2500000 + 274 100: 0.2500000 + 275 23: 0.5000000 + 275 24: 0.5000000 + 276 = 0 + 277 = 0 + 278 = 0 + 279 = 0 + 280 = 0 + 281 = 0 + 282 = 0 + 283 = 0 + 284 84: -0.2500000 + 285 = 0 + 286 = 0 + 287 = 0 + 288 = 0 + 289 = 0 + 290 = 0 + 291 = 0 + 292 84: 0.06250000 + 293 = 0 + 294 = 0 + 295 = 0 + 296 = 0 + 297 = 0 + 298 = 0 + 299 = 0 + 300 = 0 + 301 = 0 + 302 = 0 + 303 = 0 + 304 = 0 + 305 = 0 + 306 = 0 + 307 = 0 + 308 = 0 + 309 = 0 + 310 = 0 + 319 0: 0.2500000 + 319 22: 0.2500000 + 319 24: 0.2500000 + 319 44: 0.2500000 + 320 22: 0.5000000 + 320 24: 0.5000000 + 321 0: 0.5000000 + 321 24: 0.5000000 +DEAL::n_dofs=407 + 8 = 0 + 12 = 0 + 16 = 0 + 18 = 0 + 20 = 0 + 35 = 0 + 37 = 0 + 44 139: 1.000000 + 45 = 0 + 46 = 0 + 47 = 0 + 48 141: 1.000000 + 49 = 0 + 50 13: 1.000000 + 51 = 0 + 52 151: 1.000000 + 53 = 0 + 54 = 0 + 55 = 0 + 56 150: 1.000000 + 57 = 0 + 58 14: 1.000000 + 59 = 0 + 62 = 0 + 63 = 0 + 64 11: 1.000000 + 65 = 0 + 66 = 0 + 67 = 0 + 72 = 0 + 73 = 0 + 74 = 0 + 75 = 0 + 80 = 0 + 81 = 0 + 82 = 0 + 83 = 0 + 84 = 0 + 85 = 0 + 86 = 0 + 87 = 0 + 88 = 0 + 97 30: 1.000000 + 98 = 0 + 99 7: 1.000000 + 100 = 0 + 101 34: 1.000000 + 102 = 0 + 103 36: 1.000000 + 104 = 0 + 105 142: 1.000000 + 106 = 0 + 107 15: 1.000000 + 108 = 0 + 109 153: 1.000000 + 110 = 0 + 111 17: 1.000000 + 112 = 0 + 117 = 0 + 118 = 0 + 119 = 0 + 120 = 0 + 121 = 0 + 122 = 0 + 123 = 0 + 124 = 0 + 125 = 0 + 126 = 0 + 127 = 0 + 128 = 0 + 140 = 0 + 143 = 0 + 145 = 0 + 152 = 0 + 154 = 0 + 157 = 0 + 160 1: 0.5000000 + 160 27: 0.5000000 + 161 27: 0.5000000 + 161 138: 0.5000000 + 162 = 0 + 163 = 0 + 164 39: -0.2500000 + 165 = 0 + 166 31: 0.2500000 + 167 = 0 + 168 31: 0.1250000 + 168 39: -0.2500000 + 169 = 0 + 170 = 0 + 171 = 0 + 172 = 0 + 173 = 0 + 176 = 0 + 177 = 0 + 178 = 0 + 179 = 0 + 180 228: 1.000000 + 181 = 0 + 182 = 0 + 183 = 0 + 184 230: 1.000000 + 185 = 0 + 186 = 0 + 187 = 0 + 188 = 0 + 189 = 0 + 190 = 0 + 191 = 0 + 192 = 0 + 201 39: 0.06250000 + 202 = 0 + 203 = 0 + 204 = 0 + 217 27: 0.5000000 + 217 29: 0.5000000 + 217 31: -1.000000 + 218 1: 0.2500000 + 218 3: 0.2500000 + 218 27: 0.2500000 + 218 29: 0.2500000 + 218 31: -0.5000000 + 218 39: 1.000000 + 219 3: 0.5000000 + 219 29: 0.5000000 + 220 39: -0.2500000 + 221 = 0 + 222 31: 0.2500000 + 223 31: 0.1250000 + 223 39: -0.2500000 + 224 = 0 + 225 = 0 + 226 = 0 + 227 = 0 + 229 = 0 + 231 = 0 + 233 = 0 + 236 39: 0.06250000 + 237 = 0 + 239 = 0 + 240 = 0 + 241 39: -0.2500000 + 242 = 0 + 243 = 0 + 244 = 0 + 245 = 0 + 246 = 0 + 247 287: 1.000000 + 248 = 0 + 249 = 0 + 250 = 0 + 251 = 0 + 252 = 0 + 253 = 0 + 254 = 0 + 255 = 0 + 256 = 0 + 257 = 0 + 258 = 0 + 259 = 0 + 260 = 0 + 261 = 0 + 262 = 0 + 263 = 0 + 264 = 0 + 265 = 0 + 266 39: 0.06250000 + 267 = 0 + 268 = 0 + 269 = 0 + 270 = 0 + 271 = 0 + 272 = 0 + 273 = 0 + 282 1: 0.5000000 + 282 3: 0.5000000 + 283 3: 0.5000000 + 283 6: 0.5000000 + 284 39: -0.2500000 + 285 = 0 + 286 = 0 + 288 = 0 + 289 = 0 + 290 = 0 + 291 = 0 + 293 = 0 + 294 = 0 + 295 39: 0.06250000 + 298 = 0 + 299 = 0 + 300 = 0 + 301 = 0 + 302 = 0 + 303 = 0 + 304 = 0 + 305 = 0 + 306 = 0 + 307 = 0 + 308 = 0 + 309 = 0 + 310 = 0 + 311 = 0 + 312 = 0 + 313 = 0 + 314 = 0 + 315 = 0 + 316 = 0 + 317 = 0 + 318 = 0 + 319 = 0 + 320 = 0 + 321 = 0 + 326 = 0 + 327 = 0 + 328 = 0 + 329 = 0 + 330 = 0 + 331 = 0 + 332 = 0 + 333 = 0 + 343 29: 0.5000000 + 343 347: 0.5000000 + 345 3: 0.2500000 + 345 6: 0.2500000 + 345 29: 0.2500000 + 345 347: 0.2500000 + 346 138: 0.5000000 + 346 347: 0.5000000 + 348 6: 0.2500000 + 348 138: 0.2500000 + 348 347: 0.2500000 + 348 354: 0.2500000 + 349 6: 0.5000000 + 349 347: 0.5000000 + 350 1: 0.2500000 + 350 27: 0.2500000 + 350 138: 0.2500000 + 350 354: 0.2500000 + 351 1: 0.5000000 + 351 354: 0.5000000 + 352 1: 0.2500000 + 352 3: 0.2500000 + 352 6: 0.2500000 + 352 354: 0.2500000 + 353 138: 0.5000000 + 353 354: 0.5000000 + 355 6: 0.5000000 + 355 354: 0.5000000 + 356 = 0 + 357 = 0 + 358 = 0 + 359 = 0 + 360 = 0 + 361 = 0 + 362 = 0 + 363 = 0 + 364 = 0 + 365 = 0 + 366 = 0 + 367 = 0 + 368 = 0 + 369 = 0 + 370 = 0 + 371 = 0 + 372 = 0 + 373 = 0 + 374 = 0 + 375 = 0 + 376 = 0 + 377 = 0 + 378 = 0 + 379 = 0 + 380 = 0 + 381 = 0 + 382 = 0 + 383 = 0 + 384 = 0 + 385 = 0 + 386 = 0 + 387 = 0 + 388 = 0 + 389 = 0 + 390 = 0 + 391 = 0 + 392 = 0 + 393 = 0 + 394 = 0 + 395 = 0 + 396 = 0 + 397 = 0 + 398 = 0 +DEAL::n_dofs=239 + 0 = 0 + 1 = 0 + 2 = 0 + 3 = 0 + 4 = 0 + 5 = 0 + 6 = 0 + 7 = 0 + 8 = 0 + 9 = 0 + 10 = 0 + 11 = 0 + 12 = 0 + 13 = 0 + 14 = 0 + 15 = 0 + 16 = 0 + 17 = 0 + 18 = 0 + 19 = 0 + 20 116: 1.000000 + 21 = 0 + 22 136: 1.000000 + 23 = 0 + 24 = 0 + 25 = 0 + 26 = 0 + 31 = 0 + 32 = 0 + 33 = 0 + 34 = 0 + 35 = 0 + 36 = 0 + 37 = 0 + 38 = 0 + 39 = 0 + 40 = 0 + 41 = 0 + 42 = 0 + 43 = 0 + 44 = 0 + 45 = 0 + 62 = 0 + 63 = 0 + 64 = 0 + 65 = 0 + 66 = 0 + 67 = 0 + 68 = 0 + 69 = 0 + 70 = 0 + 71 = 0 + 72 = 0 + 73 = 0 + 74 = 0 + 75 = 0 + 76 135: 1.000000 + 77 = 0 + 78 = 0 + 79 = 0 + 80 = 0 + 81 = 0 + 82 = 0 + 83 = 0 + 84 = 0 + 89 = 0 + 90 = 0 + 91 = 0 + 92 = 0 + 93 = 0 + 94 = 0 + 95 = 0 + 96 = 0 + 105 = 0 + 106 = 0 + 107 = 0 + 108 = 0 + 109 = 0 + 110 = 0 + 111 = 0 + 112 = 0 + 113 = 0 + 114 = 0 + 119 = 0 + 121 = 0 + 122 = 0 + 129 = 0 + 130 = 0 + 131 = 0 + 132 = 0 + 133 = 0 + 134 = 0 + 140 = 0 + 141 = 0 + 143 124: 0.5000000 + 143 125: 0.5000000 + 144 124: 0.5000000 + 144 126: 0.5000000 + 145 124: 0.2500000 + 145 125: 0.2500000 + 145 126: 0.2500000 + 145 127: 0.2500000 + 146 124: 0.5000000 + 146 211: 0.5000000 + 148 124: 0.2500000 + 148 126: 0.2500000 + 148 211: 0.2500000 + 148 217: 0.2500000 + 150 125: 0.5000000 + 150 127: 0.5000000 + 151 125: 0.5000000 + 151 215: 0.5000000 + 152 125: 0.2500000 + 152 127: 0.2500000 + 152 128: 0.2500000 + 152 215: 0.2500000 + 153 126: 0.5000000 + 153 127: 0.5000000 + 154 126: 0.5000000 + 154 217: 0.5000000 + 155 126: 0.2500000 + 155 127: 0.2500000 + 155 128: 0.2500000 + 155 217: 0.2500000 + 156 = 0 + 157 = 0 + 158 = 0 + 159 = 0 + 160 = 0 + 161 = 0 + 162 = 0 + 163 = 0 + 164 = 0 + 165 = 0 + 166 = 0 + 167 = 0 + 168 = 0 + 169 = 0 + 170 = 0 + 171 = 0 + 172 = 0 + 173 = 0 + 174 = 0 + 175 = 0 + 176 = 0 + 177 = 0 + 178 = 0 + 179 = 0 + 180 = 0 + 181 = 0 + 182 = 0 + 183 = 0 + 184 = 0 + 185 = 0 + 186 = 0 + 187 = 0 + 188 = 0 + 189 = 0 + 190 = 0 + 191 = 0 + 192 = 0 + 193 = 0 + 194 = 0 + 195 = 0 + 196 = 0 + 197 = 0 + 198 = 0 + 199 = 0 + 200 = 0 + 201 = 0 + 202 = 0 + 212 211: 0.5000000 + 212 215: 0.5000000 + 213 211: 0.5000000 + 213 217: 0.5000000 + 214 128: 0.2500000 + 214 211: 0.2500000 + 214 215: 0.2500000 + 214 217: 0.2500000 + 216 128: 0.5000000 + 216 215: 0.5000000 + 218 128: 0.5000000 + 218 217: 0.5000000 + 219 127: 0.5000000 + 219 128: 0.5000000 + 220 = 0 + 221 = 0 + 222 = 0 + 223 = 0 + 224 = 0 + 225 = 0 + 226 = 0 + 227 = 0 + 228 = 0 + 229 = 0 + 230 = 0 + 231 = 0 + 232 = 0 + 233 = 0 + 234 = 0 + 235 = 0 + 237 = 0 +DEAL::n_dofs=331 + 0 = 0 + 1 = 0 + 2 = 0 + 3 = 0 + 4 = 0 + 5 = 0 + 6 = 0 + 7 = 0 + 8 = 0 + 9 = 0 + 10 = 0 + 11 = 0 + 12 = 0 + 13 = 0 + 15 = 0 + 16 = 0 + 17 = 0 + 35 = 0 + 36 = 0 + 37 = 0 + 38 = 0 + 39 = 0 + 40 = 0 + 41 = 0 + 42 = 0 + 43 = 0 + 44 = 0 + 45 = 0 + 46 = 0 + 47 = 0 + 48 = 0 + 49 = 0 + 50 = 0 + 52 = 0 + 53 = 0 + 54 = 0 + 55 = 0 + 56 = 0 + 57 = 0 + 58 = 0 + 60 = 0 + 61 = 0 + 62 = 0 + 63 = 0 + 64 = 0 + 65 = 0 + 66 = 0 + 71 = 0 + 72 = 0 + 73 = 0 + 74 = 0 + 75 = 0 + 76 = 0 + 77 = 0 + 78 = 0 + 79 = 0 + 80 = 0 + 81 = 0 + 90 19: 0.5000000 + 90 21: 0.5000000 + 91 19: 0.5000000 + 91 31: 0.5000000 + 91 51: -1.000000 + 92 = 0 + 93 = 0 + 94 = 0 + 95 = 0 + 96 = 0 + 97 = 0 + 98 = 0 + 99 = 0 + 102 154: 1.000000 + 103 = 0 + 104 59: -0.2500000 + 105 = 0 + 106 311: 1.000000 + 107 = 0 + 108 51: 0.2500000 + 109 = 0 + 110 51: 0.1250000 + 110 59: -0.2500000 + 111 = 0 + 114 = 0 + 115 = 0 + 120 = 0 + 121 = 0 + 122 = 0 + 123 59: 0.06250000 + 124 = 0 + 125 = 0 + 126 = 0 + 131 = 0 + 132 = 0 + 133 = 0 + 134 = 0 + 147 19: 0.5000000 + 147 23: 0.5000000 + 148 19: 0.2500000 + 148 23: 0.2500000 + 148 31: 0.2500000 + 148 32: 0.2500000 + 148 51: -0.5000000 + 148 59: 1.000000 + 149 23: 0.5000000 + 149 32: 0.5000000 + 150 = 0 + 151 = 0 + 152 = 0 + 153 = 0 + 155 = 0 + 156 59: -0.2500000 + 157 = 0 + 158 51: 0.1250000 + 158 59: -0.2500000 + 159 = 0 + 160 = 0 + 161 = 0 + 163 = 0 + 164 59: 0.06250000 + 165 = 0 + 166 = 0 + 169 = 0 + 170 = 0 + 171 = 0 + 172 = 0 + 173 = 0 + 174 = 0 + 175 309: 1.000000 + 176 = 0 + 177 = 0 + 178 = 0 + 179 = 0 + 180 = 0 + 181 = 0 + 182 = 0 + 183 = 0 + 184 = 0 + 189 = 0 + 190 = 0 + 191 = 0 + 192 = 0 + 193 = 0 + 194 = 0 + 195 = 0 + 196 = 0 + 197 = 0 + 198 = 0 + 199 = 0 + 200 = 0 + 201 = 0 + 202 = 0 + 203 = 0 + 212 19: 0.2500000 + 212 21: 0.2500000 + 212 23: 0.2500000 + 212 25: 0.2500000 + 213 23: 0.5000000 + 213 25: 0.5000000 + 214 21: 0.5000000 + 214 25: 0.5000000 + 216 23: 0.2500000 + 216 25: 0.2500000 + 216 32: 0.2500000 + 216 34: 0.2500000 + 217 21: 0.2500000 + 217 25: 0.2500000 + 217 33: 0.2500000 + 217 34: 0.2500000 + 218 25: 0.5000000 + 218 34: 0.5000000 + 219 31: 0.5000000 + 219 32: 0.5000000 + 220 = 0 + 221 = 0 + 222 = 0 + 223 = 0 + 224 = 0 + 225 = 0 + 226 = 0 + 227 = 0 + 228 51: 0.2500000 + 229 = 0 + 230 51: 0.1250000 + 230 59: -0.2500000 + 231 = 0 + 232 317: 1.000000 + 233 = 0 + 234 = 0 + 235 = 0 + 244 59: 0.06250000 + 245 = 0 + 246 = 0 + 247 = 0 + 248 = 0 + 249 = 0 + 250 = 0 + 251 = 0 + 252 = 0 + 253 = 0 + 254 = 0 + 263 = 0 + 264 = 0 + 265 59: -0.2500000 + 266 = 0 + 267 = 0 + 268 = 0 + 269 = 0 + 270 = 0 + 271 = 0 + 272 = 0 + 273 = 0 + 274 = 0 + 275 = 0 + 276 = 0 + 277 = 0 + 278 = 0 + 279 = 0 + 280 = 0 + 281 = 0 + 282 = 0 + 283 59: 0.06250000 + 284 = 0 + 285 = 0 + 286 = 0 + 287 = 0 + 288 = 0 + 289 = 0 + 290 = 0 + 291 = 0 + 292 = 0 + 293 = 0 + 294 = 0 + 295 = 0 + 296 = 0 + 297 = 0 + 307 21: 0.5000000 + 307 33: 0.5000000 + 308 31: 0.5000000 + 308 33: 0.5000000 + 310 = 0 + 312 = 0 + 313 = 0 + 314 = 0 + 315 = 0 + 316 = 0 + 318 = 0 + 319 = 0 + 320 = 0 + 322 = 0 + 324 = 0 + 326 = 0 + 328 31: 0.2500000 + 328 32: 0.2500000 + 328 33: 0.2500000 + 328 34: 0.2500000 + 329 32: 0.5000000 + 329 34: 0.5000000 + 330 33: 0.5000000 + 330 34: 0.5000000 +DEAL::n_dofs=355 + 8 = 0 + 9 = 0 + 16 = 0 + 17 = 0 + 20 = 0 + 21 = 0 + 22 = 0 + 23 = 0 + 36 = 0 + 37 = 0 + 38 = 0 + 39 = 0 + 66 = 0 + 67 = 0 + 70 = 0 + 71 = 0 + 72 = 0 + 73 = 0 + 86 = 0 + 87 = 0 + 88 = 0 + 89 = 0 + 107 = 0 + 108 = 0 + 113 = 0 + 114 = 0 + 117 = 0 + 118 = 0 + 119 = 0 + 120 = 0 + 143 = 0 + 144 = 0 + 145 = 0 + 146 = 0 + 161 = 0 + 162 = 0 + 163 = 0 + 164 = 0 + 177 = 0 + 178 = 0 + 185 = 0 + 186 = 0 + 187 = 0 + 188 = 0 + 214 213: 0.5000000 + 214 221: 0.5000000 + 215 213: 0.5000000 + 215 243: 0.5000000 + 216 213: 0.2500000 + 216 221: 0.2500000 + 216 243: 0.2500000 + 216 263: 0.2500000 + 217 141: 0.5000000 + 217 213: 0.5000000 + 219 141: 0.2500000 + 219 213: 0.2500000 + 219 243: 0.2500000 + 219 349: 0.2500000 + 222 221: 0.5000000 + 222 263: 0.5000000 + 223 221: 0.5000000 + 223 330: 0.5000000 + 224 = 0 + 225 = 0 + 226 = 0 + 227 = 0 + 228 = 0 + 229 = 0 + 231 = 0 + 232 = 0 + 233 = 0 + 234 = 0 + 235 = 0 + 236 = 0 + 237 = 0 + 240 = 0 + 244 243: 0.5000000 + 244 263: 0.5000000 + 245 = 0 + 246 = 0 + 247 = 0 + 248 = 0 + 249 = 0 + 250 = 0 + 251 = 0 + 252 = 0 + 253 = 0 + 254 = 0 + 255 = 0 + 256 = 0 + 258 = 0 + 259 = 0 + 260 = 0 + 261 = 0 + 264 = 0 + 265 = 0 + 266 = 0 + 267 = 0 + 268 = 0 + 269 = 0 + 270 = 0 + 271 = 0 + 272 = 0 + 274 = 0 + 275 = 0 + 276 = 0 + 277 = 0 + 278 = 0 + 279 = 0 + 280 = 0 + 281 = 0 + 282 = 0 + 283 = 0 + 284 = 0 + 285 = 0 + 286 = 0 + 287 = 0 + 288 = 0 + 289 = 0 + 290 = 0 + 291 = 0 + 292 335: 1.000000 + 293 = 0 + 294 = 0 + 295 = 0 + 296 = 0 + 297 = 0 + 298 = 0 + 299 = 0 + 300 = 0 + 301 = 0 + 302 = 0 + 303 = 0 + 304 = 0 + 309 = 0 + 310 = 0 + 311 = 0 + 312 = 0 + 313 = 0 + 314 = 0 + 315 = 0 + 316 = 0 + 317 = 0 + 318 = 0 + 319 = 0 + 320 = 0 + 329 141: 0.5000000 + 329 330: 0.5000000 + 331 = 0 + 332 = 0 + 333 = 0 + 334 = 0 + 336 = 0 + 337 = 0 + 338 = 0 + 340 = 0 + 342 = 0 + 343 = 0 + 345 243: 0.5000000 + 345 349: 0.5000000 + 346 243: 0.2500000 + 346 263: 0.2500000 + 346 349: 0.2500000 + 346 354: 0.2500000 + 347 141: 0.5000000 + 347 349: 0.5000000 + 348 141: 0.2500000 + 348 330: 0.2500000 + 348 349: 0.2500000 + 348 354: 0.2500000 + 350 349: 0.5000000 + 350 354: 0.5000000 + 351 221: 0.2500000 + 351 263: 0.2500000 + 351 330: 0.2500000 + 351 354: 0.2500000 + 352 263: 0.5000000 + 352 354: 0.5000000 + 353 330: 0.5000000 + 353 354: 0.5000000 +DEAL::n_dofs=380 + 11 = 0 + 12 = 0 + 13 = 0 + 14 = 0 + 15 = 0 + 16 = 0 + 17 = 0 + 18 = 0 + 19 = 0 + 20 = 0 + 21 = 0 + 22 = 0 + 23 = 0 + 24 = 0 + 25 = 0 + 26 = 0 + 27 = 0 + 28 = 0 + 29 = 0 + 30 = 0 + 31 = 0 + 32 = 0 + 37 = 0 + 38 = 0 + 39 = 0 + 40 = 0 + 41 = 0 + 42 = 0 + 43 = 0 + 44 = 0 + 45 = 0 + 46 = 0 + 47 = 0 + 48 = 0 + 53 = 0 + 54 = 0 + 55 = 0 + 56 = 0 + 69 = 0 + 70 = 0 + 71 = 0 + 72 = 0 + 73 = 0 + 74 = 0 + 75 = 0 + 76 = 0 + 77 = 0 + 78 = 0 + 79 = 0 + 80 = 0 + 81 = 0 + 82 = 0 + 83 = 0 + 84 = 0 + 87 = 0 + 88 = 0 + 89 = 0 + 90 = 0 + 91 = 0 + 92 = 0 + 97 = 0 + 98 = 0 + 99 = 0 + 100 = 0 + 105 = 0 + 106 = 0 + 107 = 0 + 108 = 0 + 109 = 0 + 110 = 0 + 111 = 0 + 112 = 0 + 113 = 0 + 114 = 0 + 115 = 0 + 116 = 0 + 125 = 0 + 126 = 0 + 127 = 0 + 128 = 0 + 129 = 0 + 130 = 0 + 131 = 0 + 132 = 0 + 137 = 0 + 138 = 0 + 139 = 0 + 140 = 0 + 141 = 0 + 142 = 0 + 143 = 0 + 144 = 0 + 145 = 0 + 146 = 0 + 147 = 0 + 148 = 0 + 159 2: 0.5000000 + 159 8: 0.5000000 + 160 = 0 + 161 = 0 + 162 = 0 + 163 = 0 + 164 = 0 + 165 = 0 + 166 = 0 + 167 = 0 + 168 289: 1.000000 + 169 = 0 + 170 = 0 + 171 = 0 + 172 = 0 + 173 = 0 + 174 = 0 + 175 = 0 + 176 = 0 + 177 = 0 + 178 = 0 + 179 = 0 + 180 = 0 + 181 = 0 + 182 = 0 + 183 = 0 + 192 = 0 + 193 = 0 + 194 = 0 + 195 = 0 + 196 = 0 + 197 = 0 + 198 = 0 + 199 = 0 + 200 = 0 + 201 = 0 + 202 = 0 + 203 = 0 + 204 = 0 + 205 = 0 + 206 = 0 + 215 = 0 + 216 = 0 + 217 = 0 + 218 = 0 + 219 = 0 + 220 = 0 + 221 = 0 + 222 = 0 + 223 = 0 + 224 = 0 + 225 = 0 + 226 = 0 + 227 = 0 + 228 = 0 + 229 = 0 + 230 = 0 + 231 = 0 + 232 = 0 + 233 = 0 + 234 = 0 + 235 = 0 + 236 = 0 + 237 = 0 + 238 = 0 + 239 = 0 + 240 = 0 + 241 = 0 + 242 = 0 + 243 = 0 + 244 = 0 + 245 = 0 + 246 = 0 + 247 = 0 + 248 = 0 + 249 = 0 + 258 8: 0.5000000 + 258 66: 0.5000000 + 259 2: 0.2500000 + 259 3: 0.2500000 + 259 8: 0.2500000 + 259 66: 0.2500000 + 260 3: 0.5000000 + 260 66: 0.5000000 + 263 66: 0.5000000 + 263 68: 0.5000000 + 264 3: 0.2500000 + 264 7: 0.2500000 + 264 66: 0.2500000 + 264 68: 0.2500000 + 265 2: 0.5000000 + 265 3: 0.5000000 + 266 3: 0.5000000 + 266 7: 0.5000000 + 267 = 0 + 268 = 0 + 269 = 0 + 270 = 0 + 271 = 0 + 272 = 0 + 273 = 0 + 274 = 0 + 275 = 0 + 276 = 0 + 277 = 0 + 278 = 0 + 279 = 0 + 280 = 0 + 282 = 0 + 283 = 0 + 286 8: 0.5000000 + 286 287: 0.5000000 + 288 68: 0.5000000 + 288 287: 0.5000000 + 290 = 0 + 291 = 0 + 293 = 0 + 294 = 0 + 295 = 0 + 296 = 0 + 297 = 0 + 298 = 0 + 300 = 0 + 302 = 0 + 303 = 0 + 306 = 0 + 308 2: 0.2500000 + 308 6: 0.2500000 + 308 8: 0.2500000 + 308 287: 0.2500000 + 309 2: 0.5000000 + 309 6: 0.5000000 + 310 2: 0.2500000 + 310 3: 0.2500000 + 310 6: 0.2500000 + 310 7: 0.2500000 + 311 6: 0.5000000 + 311 287: 0.5000000 + 312 6: 0.2500000 + 312 7: 0.2500000 + 312 68: 0.2500000 + 312 287: 0.2500000 + 313 6: 0.5000000 + 313 7: 0.5000000 + 314 = 0 + 315 = 0 + 316 = 0 + 317 = 0 + 318 = 0 + 319 = 0 + 320 = 0 + 321 = 0 + 322 = 0 + 323 = 0 + 324 = 0 + 325 = 0 + 326 = 0 + 327 = 0 + 328 299: 1.000000 + 329 = 0 + 330 = 0 + 331 = 0 + 332 = 0 + 333 = 0 + 334 = 0 + 335 = 0 + 340 = 0 + 341 = 0 + 342 = 0 + 343 = 0 + 344 = 0 + 345 = 0 + 346 = 0 + 347 = 0 + 348 = 0 + 349 = 0 + 350 = 0 + 351 = 0 + 352 = 0 + 353 = 0 + 354 = 0 + 355 = 0 + 356 = 0 + 357 = 0 + 366 7: 0.5000000 + 366 68: 0.5000000 + 367 = 0 + 368 = 0 + 369 = 0 + 370 = 0 + 371 = 0 + 372 = 0 + 373 = 0 + 375 = 0 + 376 = 0 + 377 = 0 + 378 = 0 +DEAL:: +DEAL:: +DEAL::2d deformed mesh test +DEAL:: +DEAL:: +DEAL::2d deformed refined mesh test +DEAL:: +DEAL:: +DEAL::Random hanging nodes +DEAL::n_dofs=15602 + 10 = 0 + 11 = 0 + 12 = 0 + 13 = 0 + 14 = 0 + 15 = 0 + 17 = 0 + 18 = 0 + 19 = 0 + 20 = 0 + 21 = 0 + 22 = 0 + 23 = 0 + 25 = 0 + 26 = 0 + 29 = 0 + 30 = 0 + 33 = 0 + 34 = 0 + 35 = 0 + 36 = 0 + 37 = 0 + 38 = 0 + 39 = 0 + 40 = 0 + 41 = 0 + 42 = 0 + 43 = 0 + 44 = 0 + 45 = 0 + 46 = 0 + 47 = 0 + 48 = 0 + 49 = 0 + 50 = 0 + 51 = 0 + 52 = 0 + 53 = 0 + 54 = 0 + 55 = 0 + 56 = 0 + 61 = 0 + 62 = 0 + 63 = 0 + 64 = 0 + 65 = 0 + 66 = 0 + 67 = 0 + 68 = 0 + 73 = 0 + 74 = 0 + 75 = 0 + 76 = 0 + 92 = 0 + 93 = 0 + 94 = 0 + 95 = 0 + 96 = 0 + 97 = 0 + 98 = 0 + 102 = 0 + 112 = 0 + 113 = 0 + 114 = 0 + 119 = 0 + 120 = 0 + 121 = 0 + 122 = 0 + 139 = 0 + 140 = 0 + 141 313: 1.000000 + 142 = 0 + 147 = 0 + 148 = 0 + 149 = 0 + 150 = 0 + 151 = 0 + 152 = 0 + 153 = 0 + 154 = 0 + 155 = 0 + 156 = 0 + 157 321: 1.000000 + 158 = 0 + 159 = 0 + 160 = 0 + 161 = 0 + 162 = 0 + 163 = 0 + 164 = 0 + 165 = 0 + 166 = 0 + 167 = 0 + 168 = 0 + 169 = 0 + 182 = 0 + 183 = 0 + 184 = 0 + 185 = 0 + 198 = 0 + 199 = 0 + 200 419: 1.000000 + 201 = 0 + 202 = 0 + 203 = 0 + 204 = 0 + 205 = 0 + 206 = 0 + 207 = 0 + 208 = 0 + 209 = 0 + 210 = 0 + 211 = 0 + 212 425: 1.000000 + 213 = 0 + 214 = 0 + 215 = 0 + 224 = 0 + 225 = 0 + 226 = 0 + 227 = 0 + 228 = 0 + 229 = 0 + 230 = 0 + 235 = 0 + 236 = 0 + 237 = 0 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0.5000000 + 8476 584: 0.5000000 + 8476 3188: 0.5000000 + 8477 = 0 + 8479 = 0 + 8480 = 0 + 8481 = 0 + 8482 = 0 + 8483 = 0 + 8484 = 0 + 8485 = 0 + 8486 = 0 + 8487 = 0 + 8489 = 0 + 8490 = 0 + 8492 = 0 + 8494 3188: 0.5000000 + 8494 3273: 0.5000000 + 8495 = 0 + 8496 = 0 + 8497 = 0 + 8498 = 0 + 8499 = 0 + 8500 = 0 + 8501 = 0 + 8502 = 0 + 8503 = 0 + 8504 = 0 + 8505 = 0 + 8506 = 0 + 8507 = 0 + 8508 = 0 + 8509 = 0 + 8510 = 0 + 8511 = 0 + 8512 = 0 + 8513 = 0 + 8514 = 0 + 8515 = 0 + 8516 = 0 + 8517 = 0 + 8518 = 0 + 8519 = 0 + 8520 = 0 + 8521 = 0 + 8522 = 0 + 8523 = 0 + 8524 = 0 + 8525 = 0 + 8539 3232: 0.5000000 + 8539 5310: 0.5000000 + 8541 3232: 0.2500000 + 8541 5310: 0.2500000 + 8541 5314: 0.2500000 + 8541 5318: 0.2500000 + 8542 3188: 0.5000000 + 8542 3232: 0.5000000 + 8543 3188: 0.2500000 + 8543 3232: 0.2500000 + 8543 3273: 0.2500000 + 8543 5318: 0.2500000 + 8544 3232: 0.5000000 + 8544 5318: 0.5000000 + 8545 584: 0.2500000 + 8545 624: 0.2500000 + 8545 3188: 0.2500000 + 8545 3273: 0.2500000 + 8546 624: 0.5000000 + 8546 3273: 0.5000000 + 8548 = 0 + 8549 = 0 + 8550 = 0 + 8551 = 0 + 8552 = 0 + 8553 = 0 + 8554 8652: 1.000000 + 8555 = 0 + 8556 = 0 + 8557 = 0 + 8558 = 0 + 8559 = 0 + 8560 = 0 + 8561 = 0 + 8562 = 0 + 8563 = 0 + 8564 = 0 + 8565 = 0 + 8566 = 0 + 8567 = 0 + 8568 = 0 + 8569 = 0 + 8570 = 0 + 8571 = 0 + 8572 = 0 + 8573 = 0 + 8574 = 0 + 8575 = 0 + 8576 = 0 + 8577 = 0 + 8578 = 0 + 8591 = 0 + 8592 = 0 + 8593 = 0 + 8594 = 0 + 8595 = 0 + 8596 = 0 + 8597 = 0 + 8598 = 0 + 8599 = 0 + 8600 = 0 + 8601 8650: 1.000000 + 8602 = 0 + 8603 = 0 + 8604 = 0 + 8605 = 0 + 8606 = 0 + 8607 = 0 + 8608 = 0 + 8609 = 0 + 8610 = 0 + 8611 = 0 + 8612 = 0 + 8613 = 0 + 8614 = 0 + 8615 = 0 + 8616 = 0 + 8617 = 0 + 8618 = 0 + 8619 = 0 + 8620 = 0 + 8621 = 0 + 8622 = 0 + 8623 = 0 + 8624 = 0 + 8625 = 0 + 8626 = 0 + 8627 = 0 + 8628 = 0 + 8629 = 0 + 8630 = 0 + 8631 = 0 + 8644 3273: 0.5000000 + 8644 5318: 0.5000000 + 8645 5314: 0.5000000 + 8645 5318: 0.5000000 + 8646 = 0 + 8647 = 0 + 8648 = 0 + 8649 = 0 + 8651 = 0 + 8653 = 0 + 8655 = 0 + 8656 = 0 + 8657 = 0 + 8659 = 0 + 8661 = 0 + 8662 = 0 + 8665 871: 0.5000000 + 8665 4807: 0.5000000 + 8666 4807: 0.5000000 + 8666 4829: 0.5000000 + 8667 871: 0.2500000 + 8667 873: 0.2500000 + 8667 4807: 0.2500000 + 8667 4829: 0.2500000 + 8668 4807: 0.5000000 + 8668 8019: 0.5000000 + 8669 472: 0.2500000 + 8669 871: 0.2500000 + 8669 4807: 0.2500000 + 8669 8019: 0.2500000 + 8670 1247: 0.2500000 + 8670 4807: 0.2500000 + 8670 4829: 0.2500000 + 8670 8019: 0.2500000 + 8672 871: 0.5000000 + 8672 873: 0.5000000 + 8673 472: 0.5000000 + 8673 871: 0.5000000 + 8674 472: 0.2500000 + 8674 871: 0.2500000 + 8674 873: 0.2500000 + 8674 875: 0.2500000 + 8675 1095: -1.000000 + 8675 1247: 0.5000000 + 8675 4829: 0.5000000 + 8676 = 0 + 8677 = 0 + 8678 = 0 + 8679 = 0 + 8680 = 0 + 8681 = 0 + 8682 = 0 + 8683 = 0 + 8684 = 0 + 8685 = 0 + 8686 8738: 1.000000 + 8687 = 0 + 8688 = 0 + 8689 = 0 + 8690 1101: -0.2500000 + 8691 = 0 + 8692 = 0 + 8693 = 0 + 8694 = 0 + 8695 = 0 + 8696 1095: 0.2500000 + 8697 = 0 + 8698 1095: 0.1250000 + 8698 1096: 0.1250000 + 8698 1101: -0.2500000 + 8699 = 0 + 8700 = 0 + 8701 = 0 + 8702 = 0 + 8703 = 0 + 8704 = 0 + 8705 = 0 + 8706 = 0 + 8707 = 0 + 8708 = 0 + 8709 = 0 + 8710 = 0 + 8711 1101: 0.06250000 + 8712 = 0 + 8713 = 0 + 8714 = 0 + 8715 = 0 + 8716 = 0 + 8717 = 0 + 8718 = 0 + 8731 873: 0.5000000 + 8731 4829: 0.5000000 + 8732 873: 0.2500000 + 8732 875: 0.2500000 + 8732 1095: -0.5000000 + 8732 1096: -0.5000000 + 8732 1101: 1.000000 + 8732 1247: 0.2500000 + 8732 4829: 0.2500000 + 8733 873: 0.5000000 + 8733 875: 0.5000000 + 8734 = 0 + 8735 = 0 + 8736 = 0 + 8737 = 0 + 8739 = 0 + 8740 = 0 + 8741 1101: -0.2500000 + 8742 = 0 + 8743 = 0 + 8744 1095: 0.1250000 + 8744 1096: 0.1250000 + 8744 1101: -0.2500000 + 8745 = 0 + 8747 = 0 + 8748 = 0 + 8749 1101: 0.06250000 + 8750 = 0 + 8753 = 0 + 8754 = 0 + 8755 = 0 + 8756 = 0 + 8757 = 0 + 8758 = 0 + 8759 = 0 + 8760 = 0 + 8761 = 0 + 8763 = 0 + 8765 = 0 + 8767 = 0 + 8768 = 0 + 8770 = 0 + 8771 = 0 + 8772 = 0 + 8773 = 0 + 8774 = 0 + 8775 = 0 + 8777 = 0 + 8779 = 0 + 8780 = 0 + 8781 = 0 + 8782 = 0 + 8783 = 0 + 8784 = 0 + 8785 = 0 + 8786 = 0 + 8787 = 0 + 8788 = 0 + 8789 8762: 1.000000 + 8790 = 0 + 8791 1095: 0.2500000 + 8792 = 0 + 8793 1095: 0.1250000 + 8793 1096: 0.1250000 + 8793 1101: -0.2500000 + 8794 = 0 + 8795 = 0 + 8796 = 0 + 8797 = 0 + 8798 = 0 + 8799 = 0 + 8800 = 0 + 8801 = 0 + 8802 = 0 + 8803 = 0 + 8804 = 0 + 8805 1101: 0.06250000 + 8806 = 0 + 8807 = 0 + 8808 = 0 + 8809 = 0 + 8810 = 0 + 8811 = 0 + 8820 = 0 + 8821 = 0 + 8822 1095: 0.1250000 + 8822 1096: 0.1250000 + 8822 1101: -0.2500000 + 8823 = 0 + 8825 = 0 + 8826 1101: 0.06250000 + 8827 = 0 + 8829 852: 0.5000000 + 8829 1521: 0.5000000 + 8830 = 0 + 8831 = 0 + 8832 = 0 + 8833 = 0 + 8834 = 0 + 8835 = 0 + 8836 = 0 + 8837 = 0 + 8838 = 0 + 8839 = 0 + 8840 = 0 + 8841 = 0 + 8842 = 0 + 8843 = 0 + 8844 = 0 + 8845 = 0 + 8846 = 0 + 8847 = 0 + 8848 = 0 + 8849 = 0 + 8850 = 0 + 8851 = 0 + 8852 = 0 + 8853 = 0 + 8854 = 0 + 8855 = 0 + 8856 = 0 + 8857 = 0 + 8858 = 0 + 8859 = 0 + 8860 = 0 + 8861 = 0 + 8862 = 0 + 8863 = 0 + 8864 = 0 + 8865 = 0 + 8866 = 0 + 8867 = 0 + 8868 = 0 + 8869 = 0 + 8870 = 0 + 8871 = 0 + 8872 = 0 + 8873 = 0 + 8886 1521: 0.5000000 + 8886 1522: 0.5000000 + 8887 1521: 0.2500000 + 8887 1522: 0.2500000 + 8887 1523: 0.2500000 + 8887 1524: 0.2500000 + 8888 1522: 0.5000000 + 8888 1524: 0.5000000 + 8889 852: 0.2500000 + 8889 1521: 0.2500000 + 8889 1522: 0.2500000 + 8889 4343: 0.2500000 + 8890 1522: 0.5000000 + 8890 4343: 0.5000000 + 8893 1521: 0.5000000 + 8893 1523: 0.5000000 + 8894 1523: 0.5000000 + 8894 1524: 0.5000000 + 8895 852: 0.2500000 + 8895 872: 0.2500000 + 8895 1521: 0.2500000 + 8895 1523: 0.2500000 + 8896 872: 0.5000000 + 8896 1523: 0.5000000 + 8898 = 0 + 8899 = 0 + 8900 = 0 + 8901 = 0 + 8902 = 0 + 8903 = 0 + 8904 = 0 + 8905 = 0 + 8906 = 0 + 8907 = 0 + 8908 = 0 + 8909 = 0 + 8910 = 0 + 8911 = 0 + 8912 = 0 + 8913 = 0 + 8914 = 0 + 8915 = 0 + 8916 = 0 + 8917 = 0 + 8918 = 0 + 8919 = 0 + 8920 = 0 + 8921 = 0 + 8922 = 0 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0 + 9031 = 0 + 9032 = 0 + 9033 = 0 + 9034 = 0 + 9035 = 0 + 9036 = 0 + 9041 = 0 + 9042 = 0 + 9043 = 0 + 9044 = 0 + 9045 = 0 + 9046 = 0 + 9047 = 0 + 9048 = 0 + 9057 1524: 0.5000000 + 9057 9061: 0.5000000 + 9058 852: 0.2500000 + 9058 872: 0.2500000 + 9058 4343: 0.2500000 + 9058 9061: 0.2500000 + 9059 4343: 0.5000000 + 9059 9061: 0.5000000 + 9060 872: 0.5000000 + 9060 9061: 0.5000000 + 9062 = 0 + 9063 = 0 + 9064 = 0 + 9065 = 0 + 9066 = 0 + 9067 = 0 + 9068 = 0 + 9069 = 0 + 9070 = 0 + 9071 = 0 + 9073 = 0 + 9075 = 0 + 9077 = 0 + 9080 = 0 + 9081 = 0 + 9082 12233: 1.000000 + 9083 = 0 + 9084 = 0 + 9085 = 0 + 9086 = 0 + 9087 = 0 + 9088 = 0 + 9089 = 0 + 9090 = 0 + 9091 = 0 + 9092 = 0 + 9093 = 0 + 9094 = 0 + 9095 = 0 + 9096 = 0 + 9097 = 0 + 9098 = 0 + 9099 = 0 + 9100 9072: 1.000000 + 9101 = 0 + 9102 9153: 1.000000 + 9103 = 0 + 9104 = 0 + 9105 = 0 + 9106 = 0 + 9111 = 0 + 9112 = 0 + 9113 = 0 + 9114 = 0 + 9115 = 0 + 9116 = 0 + 9117 = 0 + 9118 = 0 + 9119 = 0 + 9120 = 0 + 9121 = 0 + 9122 = 0 + 9123 = 0 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872: 0.2500000 + 9184 874: 0.2500000 + 9184 1523: 0.2500000 + 9186 1524: 0.5000000 + 9186 1581: 0.5000000 + 9187 1524: 0.2500000 + 9187 1581: 0.2500000 + 9187 9061: 0.2500000 + 9187 9305: 0.2500000 + 9188 = 0 + 9189 = 0 + 9190 = 0 + 9191 = 0 + 9192 = 0 + 9193 = 0 + 9194 = 0 + 9195 = 0 + 9196 = 0 + 9197 = 0 + 9198 = 0 + 9199 = 0 + 9201 = 0 + 9203 = 0 + 9206 = 0 + 9207 = 0 + 9208 = 0 + 9209 = 0 + 9210 = 0 + 9211 = 0 + 9212 = 0 + 9213 = 0 + 9214 = 0 + 9215 = 0 + 9216 = 0 + 9217 = 0 + 9219 = 0 + 9220 = 0 + 9221 = 0 + 9222 = 0 + 9223 = 0 + 9224 = 0 + 9225 = 0 + 9226 = 0 + 9227 = 0 + 9228 = 0 + 9229 = 0 + 9230 = 0 + 9231 = 0 + 9232 = 0 + 9233 = 0 + 9234 = 0 + 9235 = 0 + 9236 = 0 + 9237 = 0 + 9238 = 0 + 9239 = 0 + 9240 = 0 + 9241 = 0 + 9242 = 0 + 9247 = 0 + 9248 = 0 + 9249 = 0 + 9250 = 0 + 9251 = 0 + 9252 = 0 + 9253 = 0 + 9254 = 0 + 9264 9061: 0.5000000 + 9264 9305: 0.5000000 + 9265 = 0 + 9266 = 0 + 9267 = 0 + 9268 = 0 + 9269 = 0 + 9270 = 0 + 9271 = 0 + 9272 = 0 + 9273 = 0 + 9274 = 0 + 9275 = 0 + 9276 = 0 + 9277 = 0 + 9278 = 0 + 9279 = 0 + 9280 = 0 + 9281 = 0 + 9282 = 0 + 9283 = 0 + 9284 = 0 + 9285 = 0 + 9286 = 0 + 9287 = 0 + 9288 = 0 + 9289 = 0 + 9290 = 0 + 9291 = 0 + 9292 = 0 + 9306 872: 0.5000000 + 9306 874: 0.5000000 + 9307 473: 0.5000000 + 9307 872: 0.5000000 + 9308 473: 0.2500000 + 9308 872: 0.2500000 + 9308 1147: 0.2500000 + 9308 9061: 0.2500000 + 9309 473: 0.2500000 + 9309 872: 0.2500000 + 9309 874: 0.2500000 + 9309 876: 0.2500000 + 9311 1147: 0.5000000 + 9311 9061: 0.5000000 + 9313 = 0 + 9314 = 0 + 9315 = 0 + 9316 = 0 + 9317 = 0 + 9319 = 0 + 9321 = 0 + 9322 = 0 + 9323 = 0 + 9325 = 0 + 9327 = 0 + 9329 = 0 + 9332 = 0 + 9333 = 0 + 9334 9374: 1.000000 + 9335 = 0 + 9336 = 0 + 9337 = 0 + 9338 = 0 + 9339 = 0 + 9340 = 0 + 9341 = 0 + 9342 = 0 + 9343 = 0 + 9344 = 0 + 9345 = 0 + 9346 = 0 + 9347 = 0 + 9348 = 0 + 9349 = 0 + 9350 = 0 + 9351 = 0 + 9352 = 0 + 9353 = 0 + 9354 = 0 + 9355 = 0 + 9356 = 0 + 9357 = 0 + 9358 = 0 + 9359 = 0 + 9360 = 0 + 9361 = 0 + 9362 = 0 + 9363 = 0 + 9372 = 0 + 9373 = 0 + 9381 = 0 + 9384 473: 0.5000000 + 9384 1147: 0.5000000 + 9385 473: 0.5000000 + 9385 876: 0.5000000 + 9386 = 0 + 9387 = 0 + 9388 = 0 + 9389 = 0 + 9391 = 0 + 9393 = 0 + 9394 = 0 + 9395 = 0 + 9397 = 0 + 9399 = 0 + 9401 = 0 + 9405 = 0 + 9406 = 0 + 9407 = 0 + 9410 = 0 + 9414 = 0 + 9415 = 0 + 9416 = 0 + 9417 = 0 + 9418 = 0 + 9419 = 0 + 9420 = 0 + 9422 = 0 + 9426 = 0 + 9428 = 0 + 9430 = 0 + 9431 = 0 + 9432 882: 0.1250000 + 9432 894: -0.2500000 + 9433 = 0 + 9434 = 0 + 9435 = 0 + 9436 894: -0.2500000 + 9437 = 0 + 9438 9318: 1.000000 + 9439 = 0 + 9440 9494: 1.000000 + 9441 = 0 + 9442 971: -0.2500000 + 9442 1154: 0.1250000 + 9443 = 0 + 9446 = 0 + 9447 = 0 + 9448 962: 0.1250000 + 9448 971: -0.2500000 + 9449 = 0 + 9450 9324: 1.000000 + 9451 = 0 + 9452 9500: 1.000000 + 9453 = 0 + 9454 = 0 + 9455 = 0 + 9456 = 0 + 9457 = 0 + 9458 = 0 + 9459 = 0 + 9460 971: 0.06250000 + 9461 = 0 + 9462 = 0 + 9463 = 0 + 9468 894: 0.06250000 + 9469 = 0 + 9470 = 0 + 9471 = 0 + 9484 882: -0.5000000 + 9484 894: 1.000000 + 9484 7150: 0.2500000 + 9484 9061: 0.2500000 + 9484 9181: 0.2500000 + 9484 9305: 0.2500000 + 9485 882: -1.000000 + 9485 7150: 0.5000000 + 9485 9181: 0.5000000 + 9486 962: -0.5000000 + 9486 971: 1.000000 + 9486 1147: 0.2500000 + 9486 1148: 0.2500000 + 9486 1154: -0.5000000 + 9486 9061: 0.2500000 + 9486 9181: 0.2500000 + 9487 962: -1.000000 + 9487 1148: 0.5000000 + 9487 9181: 0.5000000 + 9490 882: 0.1250000 + 9490 894: -0.2500000 + 9491 882: 0.2500000 + 9492 = 0 + 9493 894: -0.2500000 + 9496 971: -0.2500000 + 9496 1154: 0.1250000 + 9498 962: 0.1250000 + 9498 971: -0.2500000 + 9499 962: 0.2500000 + 9504 971: 0.06250000 + 9506 894: 0.06250000 + 9509 = 0 + 9510 = 0 + 9511 882: 0.1250000 + 9511 894: -0.2500000 + 9512 = 0 + 9513 9375: 1.000000 + 9514 = 0 + 9515 9541: 1.000000 + 9516 = 0 + 9517 = 0 + 9518 = 0 + 9519 = 0 + 9520 = 0 + 9521 = 0 + 9522 = 0 + 9523 894: 0.06250000 + 9524 = 0 + 9525 = 0 + 9526 = 0 + 9539 882: 0.1250000 + 9539 894: -0.2500000 + 9540 882: 0.2500000 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0 + 9651 = 0 + 9652 = 0 + 9653 = 0 + 9654 = 0 + 9680 1601: -1.000000 + 9680 3868: 0.5000000 + 9680 9936: 0.5000000 + 9681 873: 0.5000000 + 9681 3868: 0.5000000 + 9682 873: 0.2500000 + 9682 1017: 1.000000 + 9682 1087: 0.2500000 + 9682 1089: -0.5000000 + 9682 1601: -0.5000000 + 9682 3868: 0.2500000 + 9682 9936: 0.2500000 + 9683 1601: 0.2500000 + 9684 = 0 + 9685 1601: 0.1250000 + 9685 1650: -0.2500000 + 9686 = 0 + 9687 = 0 + 9688 = 0 + 9689 1650: -0.2500000 + 9690 = 0 + 9691 1017: -0.2500000 + 9691 1018: 0.3750000 + 9691 1089: 0.1250000 + 9691 1601: 0.1250000 + 9692 1018: -0.1250000 + 9693 = 0 + 9694 = 0 + 9695 = 0 + 9696 = 0 + 9699 = 0 + 9700 = 0 + 9701 = 0 + 9702 = 0 + 9703 1017: -0.2500000 + 9703 1019: 0.3750000 + 9704 1019: -0.1250000 + 9705 9748: 1.000000 + 9706 = 0 + 9707 1017: 0.06250000 + 9707 1018: -0.09375000 + 9707 1020: 0.1406250 + 9708 1018: 0.03125000 + 9709 1019: 0.03125000 + 9709 1020: -0.04687500 + 9710 1020: 0.01562500 + 9711 = 0 + 9712 = 0 + 9713 = 0 + 9714 = 0 + 9715 = 0 + 9716 = 0 + 9717 = 0 + 9722 1650: 0.06250000 + 9723 = 0 + 9724 = 0 + 9725 = 0 + 9738 794: 0.5000000 + 9738 3868: 0.5000000 + 9739 794: 0.2500000 + 9739 1601: -0.5000000 + 9739 1650: 1.000000 + 9739 1811: 0.2500000 + 9739 3868: 0.2500000 + 9739 9936: 0.2500000 + 9740 1601: 0.1250000 + 9740 1650: -0.2500000 + 9741 = 0 + 9742 = 0 + 9743 1650: -0.2500000 + 9744 = 0 + 9745 = 0 + 9746 = 0 + 9747 = 0 + 9749 = 0 + 9752 = 0 + 9754 1650: 0.06250000 + 9755 = 0 + 9757 1601: 0.2500000 + 9758 = 0 + 9759 1601: 0.1250000 + 9759 1650: -0.2500000 + 9760 = 0 + 9761 = 0 + 9762 = 0 + 9763 1017: -0.2500000 + 9763 1018: -0.3750000 + 9763 1089: 0.1250000 + 9763 1601: 0.1250000 + 9764 1018: -0.1250000 + 9765 9803: 1.000000 + 9766 = 0 + 9767 = 0 + 9768 = 0 + 9769 = 0 + 9770 = 0 + 9771 = 0 + 9772 = 0 + 9773 1017: 0.06250000 + 9773 1018: 0.09375000 + 9773 1019: -0.09375000 + 9773 1020: -0.1406250 + 9774 1018: 0.03125000 + 9774 1020: -0.04687500 + 9775 1019: 0.03125000 + 9775 1020: 0.04687500 + 9776 1020: 0.01562500 + 9777 = 0 + 9778 = 0 + 9779 = 0 + 9780 = 0 + 9781 = 0 + 9782 = 0 + 9783 = 0 + 9784 1650: 0.06250000 + 9785 = 0 + 9786 = 0 + 9787 = 0 + 9800 1601: 0.1250000 + 9800 1650: -0.2500000 + 9801 = 0 + 9802 = 0 + 9804 = 0 + 9805 = 0 + 9806 = 0 + 9808 = 0 + 9810 1650: 0.06250000 + 9813 1089: 0.2500000 + 9814 = 0 + 9815 = 0 + 9816 = 0 + 9817 = 0 + 9818 = 0 + 9819 10042: 1.000000 + 9820 = 0 + 9821 = 0 + 9822 = 0 + 9823 = 0 + 9824 = 0 + 9825 1017: -0.2500000 + 9825 1019: -0.3750000 + 9826 1019: -0.1250000 + 9827 = 0 + 9828 = 0 + 9829 1017: 0.06250000 + 9829 1018: -0.09375000 + 9829 1019: 0.09375000 + 9829 1020: -0.1406250 + 9830 1018: 0.03125000 + 9830 1020: 0.04687500 + 9831 1019: 0.03125000 + 9831 1020: -0.04687500 + 9832 1020: 0.01562500 + 9833 = 0 + 9834 = 0 + 9835 = 0 + 9836 = 0 + 9837 = 0 + 9838 = 0 + 9839 = 0 + 9840 = 0 + 9845 = 0 + 9846 = 0 + 9847 = 0 + 9856 794: 0.2500000 + 9856 873: 0.2500000 + 9856 874: 0.2500000 + 9856 3868: 0.2500000 + 9857 794: 0.5000000 + 9857 874: 0.5000000 + 9859 873: 0.5000000 + 9859 874: 0.5000000 + 9861 1089: 0.2500000 + 9862 = 0 + 9863 = 0 + 9864 = 0 + 9865 9965: 1.000000 + 9866 = 0 + 9867 = 0 + 9868 = 0 + 9869 = 0 + 9870 = 0 + 9871 1017: 0.06250000 + 9871 1018: 0.09375000 + 9871 1019: 0.09375000 + 9871 1020: 0.1406250 + 9872 1018: 0.03125000 + 9872 1020: 0.04687500 + 9873 1019: 0.03125000 + 9873 1020: 0.04687500 + 9874 1020: 0.01562500 + 9879 = 0 + 9880 = 0 + 9881 = 0 + 9882 = 0 + 9883 = 0 + 9884 = 0 + 9893 = 0 + 9894 = 0 + 9895 = 0 + 9896 = 0 + 9897 = 0 + 9898 = 0 + 9899 = 0 + 9900 = 0 + 9901 = 0 + 9902 = 0 + 9903 = 0 + 9904 = 0 + 9905 = 0 + 9906 = 0 + 9907 = 0 + 9908 = 0 + 9909 = 0 + 9910 = 0 + 9911 = 0 + 9912 = 0 + 9913 = 0 + 9914 = 0 + 9915 = 0 + 9916 = 0 + 9917 = 0 + 9918 = 0 + 9919 = 0 + 9920 = 0 + 9921 = 0 + 9922 = 0 + 9923 = 0 + 9924 = 0 + 9925 = 0 + 9926 = 0 + 9927 = 0 + 9937 1811: 0.5000000 + 9937 9936: 0.5000000 + 9938 9936: 0.5000000 + 9938 9954: 0.5000000 + 9939 1811: 0.2500000 + 9939 1812: 0.2500000 + 9939 9936: 0.2500000 + 9939 9954: 0.2500000 + 9940 1087: 0.5000000 + 9940 9936: 0.5000000 + 9942 1087: 0.2500000 + 9942 9936: 0.2500000 + 9942 9954: 0.2500000 + 9942 10291: 0.2500000 + 9944 = 0 + 9945 = 0 + 9946 = 0 + 9947 = 0 + 9948 = 0 + 9949 = 0 + 9950 = 0 + 9951 = 0 + 9952 = 0 + 9955 1812: 0.5000000 + 9955 9954: 0.5000000 + 9956 9954: 0.5000000 + 9956 10291: 0.5000000 + 9958 1811: 0.5000000 + 9958 1812: 0.5000000 + 9960 = 0 + 9961 = 0 + 9962 = 0 + 9963 = 0 + 9964 = 0 + 9967 = 0 + 9968 = 0 + 9969 = 0 + 9970 = 0 + 9971 = 0 + 9972 = 0 + 9975 = 0 + 9981 = 0 + 9982 = 0 + 9983 = 0 + 9984 = 0 + 9987 = 0 + 9989 = 0 + 9992 = 0 + 9995 = 0 + 9996 = 0 + 9997 = 0 + 9998 = 0 + 9999 = 0 + 10000 = 0 + 10001 9985: 1.000000 + 10002 = 0 + 10003 = 0 + 10004 = 0 + 10005 10501: 1.000000 + 10006 = 0 + 10007 = 0 + 10008 = 0 + 10009 9988: 1.000000 + 10010 = 0 + 10011 = 0 + 10012 = 0 + 10013 = 0 + 10014 = 0 + 10015 = 0 + 10016 = 0 + 10017 = 0 + 10022 = 0 + 10023 = 0 + 10024 = 0 + 10025 = 0 + 10026 = 0 + 10027 = 0 + 10028 = 0 + 10037 873: 0.5000000 + 10037 1087: 0.5000000 + 10037 1089: -1.000000 + 10038 873: 0.2500000 + 10038 875: 0.2500000 + 10038 1087: 0.2500000 + 10038 1089: -0.5000000 + 10038 1096: -0.5000000 + 10038 1100: 1.000000 + 10038 1249: 0.2500000 + 10039 1089: 0.2500000 + 10040 = 0 + 10041 = 0 + 10043 1089: 0.1250000 + 10043 1100: -0.2500000 + 10044 = 0 + 10045 = 0 + 10047 = 0 + 10048 1096: 0.1250000 + 10048 1100: -0.2500000 + 10049 = 0 + 10050 1100: 0.06250000 + 10051 = 0 + 10052 = 0 + 10057 873: 0.2500000 + 10057 874: 0.2500000 + 10057 875: 0.2500000 + 10057 876: 0.2500000 + 10059 1089: 0.2500000 + 10060 = 0 + 10061 1089: 0.1250000 + 10061 1100: -0.2500000 + 10062 = 0 + 10064 = 0 + 10065 = 0 + 10066 1100: 0.06250000 + 10067 = 0 + 10073 875: 0.5000000 + 10073 876: 0.5000000 + 10074 875: 0.5000000 + 10074 1249: 0.5000000 + 10075 875: 0.2500000 + 10075 876: 0.2500000 + 10075 1249: 0.2500000 + 10075 1253: 0.2500000 + 10076 1089: 0.1250000 + 10076 1100: -0.2500000 + 10077 = 0 + 10078 = 0 + 10079 = 0 + 10080 = 0 + 10081 = 0 + 10082 10046: 1.000000 + 10083 = 0 + 10084 = 0 + 10085 = 0 + 10086 = 0 + 10087 = 0 + 10088 = 0 + 10089 = 0 + 10090 = 0 + 10091 = 0 + 10092 = 0 + 10093 = 0 + 10094 = 0 + 10095 = 0 + 10096 1096: 0.1250000 + 10096 1100: -0.2500000 + 10097 = 0 + 10100 1100: 0.06250000 + 10101 = 0 + 10102 = 0 + 10103 = 0 + 10108 = 0 + 10109 = 0 + 10110 = 0 + 10111 = 0 + 10116 = 0 + 10117 = 0 + 10118 = 0 + 10119 = 0 + 10120 = 0 + 10121 = 0 + 10122 = 0 + 10131 = 0 + 10132 = 0 + 10133 = 0 + 10134 = 0 + 10135 = 0 + 10136 = 0 + 10137 = 0 + 10138 = 0 + 10139 = 0 + 10140 = 0 + 10141 = 0 + 10142 = 0 + 10143 = 0 + 10144 = 0 + 10145 = 0 + 10146 = 0 + 10147 = 0 + 10148 = 0 + 10149 = 0 + 10150 = 0 + 10151 = 0 + 10152 = 0 + 10153 = 0 + 10154 = 0 + 10159 = 0 + 10160 = 0 + 10161 = 0 + 10162 = 0 + 10163 = 0 + 10164 = 0 + 10165 = 0 + 10166 = 0 + 10175 1089: 0.1250000 + 10175 1100: -0.2500000 + 10176 = 0 + 10177 = 0 + 10178 = 0 + 10179 10063: 1.000000 + 10180 = 0 + 10181 = 0 + 10182 = 0 + 10183 = 0 + 10184 = 0 + 10185 = 0 + 10186 = 0 + 10187 = 0 + 10188 = 0 + 10189 = 0 + 10190 = 0 + 10191 1100: 0.06250000 + 10192 = 0 + 10193 = 0 + 10194 = 0 + 10199 = 0 + 10200 = 0 + 10201 = 0 + 10202 = 0 + 10203 = 0 + 10204 = 0 + 10205 = 0 + 10206 = 0 + 10207 = 0 + 10208 = 0 + 10209 = 0 + 10218 = 0 + 10219 = 0 + 10220 = 0 + 10221 = 0 + 10222 = 0 + 10223 = 0 + 10224 = 0 + 10225 = 0 + 10226 6932: 1.000000 + 10227 = 0 + 10228 = 0 + 10229 = 0 + 10230 = 0 + 10231 = 0 + 10232 = 0 + 10233 = 0 + 10234 = 0 + 10235 = 0 + 10236 = 0 + 10237 = 0 + 10238 = 0 + 10239 = 0 + 10240 = 0 + 10241 = 0 + 10250 1086: 0.5000000 + 10250 1087: 0.5000000 + 10251 = 0 + 10252 = 0 + 10253 = 0 + 10254 = 0 + 10255 = 0 + 10256 = 0 + 10257 = 0 + 10258 = 0 + 10259 = 0 + 10260 = 0 + 10261 = 0 + 10262 = 0 + 10263 = 0 + 10265 = 0 + 10266 = 0 + 10267 = 0 + 10268 = 0 + 10270 = 0 + 10271 = 0 + 10272 = 0 + 10273 = 0 + 10274 = 0 + 10275 = 0 + 10277 = 0 + 10278 = 0 + 10279 = 0 + 10280 = 0 + 10282 1086: 0.5000000 + 10282 10284: 0.5000000 + 10283 1086: 0.2500000 + 10283 1087: 0.2500000 + 10283 10284: 0.2500000 + 10283 10291: 0.2500000 + 10285 10284: 0.5000000 + 10285 10291: 0.5000000 + 10286 1086: 0.2500000 + 10286 1248: 0.2500000 + 10286 5160: 0.2500000 + 10286 10284: 0.2500000 + 10288 5160: 0.5000000 + 10288 10284: 0.5000000 + 10290 1087: 0.5000000 + 10290 10291: 0.5000000 + 10294 1086: 0.5000000 + 10294 1248: 0.5000000 + 10295 1086: 0.2500000 + 10295 1087: 0.2500000 + 10295 1248: 0.2500000 + 10295 1249: 0.2500000 + 10296 1248: 0.5000000 + 10296 1249: 0.5000000 + 10297 1248: 0.5000000 + 10297 5160: 0.5000000 + 10299 1087: 0.5000000 + 10299 1249: 0.5000000 + 10300 1249: 0.5000000 + 10300 1255: 0.5000000 + 10302 = 0 + 10303 = 0 + 10304 = 0 + 10305 = 0 + 10306 = 0 + 10307 = 0 + 10308 = 0 + 10309 = 0 + 10310 = 0 + 10311 = 0 + 10314 = 0 + 10315 = 0 + 10318 = 0 + 10319 = 0 + 10320 = 0 + 10321 = 0 + 10322 = 0 + 10323 = 0 + 10326 = 0 + 10327 = 0 + 10328 = 0 + 10329 = 0 + 10334 = 0 + 10335 = 0 + 10336 = 0 + 10337 = 0 + 10342 = 0 + 10343 = 0 + 10344 = 0 + 10345 = 0 + 10358 = 0 + 10359 = 0 + 10360 = 0 + 10361 = 0 + 10362 = 0 + 10363 = 0 + 10364 = 0 + 10365 = 0 + 10366 = 0 + 10367 = 0 + 10370 = 0 + 10371 = 0 + 10372 = 0 + 10373 = 0 + 10374 = 0 + 10375 = 0 + 10376 = 0 + 10377 = 0 + 10378 = 0 + 10379 = 0 + 10380 = 0 + 10381 = 0 + 10386 = 0 + 10387 = 0 + 10388 = 0 + 10389 = 0 + 10402 = 0 + 10403 = 0 + 10404 = 0 + 10405 = 0 + 10406 9966: 1.000000 + 10407 = 0 + 10408 = 0 + 10409 = 0 + 10410 = 0 + 10411 = 0 + 10412 = 0 + 10413 = 0 + 10414 = 0 + 10415 = 0 + 10416 = 0 + 10417 = 0 + 10418 = 0 + 10419 = 0 + 10420 10490: 1.000000 + 10421 = 0 + 10422 = 0 + 10423 = 0 + 10424 = 0 + 10429 = 0 + 10430 = 0 + 10431 = 0 + 10432 = 0 + 10433 = 0 + 10434 = 0 + 10435 = 0 + 10436 = 0 + 10437 = 0 + 10438 = 0 + 10439 = 0 + 10440 = 0 + 10441 = 0 + 10450 = 0 + 10451 = 0 + 10452 = 0 + 10453 = 0 + 10454 10503: 1.000000 + 10455 = 0 + 10456 = 0 + 10457 = 0 + 10458 = 0 + 10459 = 0 + 10460 = 0 + 10461 = 0 + 10462 = 0 + 10463 = 0 + 10464 = 0 + 10465 = 0 + 10466 = 0 + 10467 = 0 + 10468 = 0 + 10469 = 0 + 10470 = 0 + 10471 = 0 + 10472 = 0 + 10473 = 0 + 10474 = 0 + 10475 = 0 + 10476 = 0 + 10477 = 0 + 10486 = 0 + 10487 = 0 + 10488 = 0 + 10489 = 0 + 10491 = 0 + 10493 = 0 + 10497 = 0 + 10499 = 0 + 10502 = 0 + 10505 = 0 + 10506 = 0 + 10507 = 0 + 10514 1249: 0.5000000 + 10514 1253: 0.5000000 + 10515 1249: 0.2500000 + 10515 1253: 0.2500000 + 10515 1255: 0.2500000 + 10515 1256: 0.2500000 + 10516 = 0 + 10518 = 0 + 10519 = 0 + 10520 = 0 + 10521 = 0 + 10522 = 0 + 10523 = 0 + 10527 = 0 + 10530 1255: 0.5000000 + 10530 1256: 0.5000000 + 10531 = 0 + 10532 = 0 + 10533 = 0 + 10534 = 0 + 10536 = 0 + 10539 = 0 + 10541 = 0 + 10542 = 0 + 10543 9390: 1.000000 + 10544 = 0 + 10545 = 0 + 10546 = 0 + 10547 9392: 1.000000 + 10548 = 0 + 10549 = 0 + 10550 = 0 + 10551 10596: 1.000000 + 10552 = 0 + 10553 1130: -0.2500000 + 10553 1174: 0.1250000 + 10554 = 0 + 10555 = 0 + 10556 = 0 + 10557 = 0 + 10558 = 0 + 10559 1130: -0.2500000 + 10559 1161: 0.1250000 + 10560 = 0 + 10561 = 0 + 10562 = 0 + 10563 = 0 + 10564 = 0 + 10565 = 0 + 10566 = 0 + 10567 = 0 + 10568 = 0 + 10569 = 0 + 10570 = 0 + 10571 = 0 + 10572 1130: 0.06250000 + 10573 = 0 + 10574 = 0 + 10575 = 0 + 10580 = 0 + 10581 = 0 + 10582 = 0 + 10583 = 0 + 10584 = 0 + 10585 = 0 + 10594 473: 0.2500000 + 10594 477: 0.2500000 + 10594 1130: 1.000000 + 10594 1147: 0.2500000 + 10594 1150: 0.2500000 + 10594 1161: -0.5000000 + 10594 1174: -0.5000000 + 10595 1147: 0.5000000 + 10595 1150: 0.5000000 + 10595 1161: -1.000000 + 10598 1130: -0.2500000 + 10598 1174: 0.1250000 + 10599 = 0 + 10600 1130: -0.2500000 + 10600 1161: 0.1250000 + 10601 1161: 0.2500000 + 10602 = 0 + 10603 = 0 + 10606 1130: 0.06250000 + 10607 = 0 + 10610 = 0 + 10611 = 0 + 10612 = 0 + 10613 = 0 + 10614 = 0 + 10615 = 0 + 10616 = 0 + 10617 = 0 + 10618 = 0 + 10619 = 0 + 10620 = 0 + 10621 = 0 + 10622 = 0 + 10623 = 0 + 10624 = 0 + 10625 = 0 + 10626 = 0 + 10627 = 0 + 10628 = 0 + 10629 = 0 + 10630 = 0 + 10631 = 0 + 10632 = 0 + 10633 = 0 + 10638 = 0 + 10639 = 0 + 10640 = 0 + 10641 = 0 + 10642 = 0 + 10643 = 0 + 10644 = 0 + 10660 473: 0.5000000 + 10660 477: 0.5000000 + 10661 477: 0.5000000 + 10661 1150: 0.5000000 + 10661 1174: -1.000000 + 10662 = 0 + 10663 1130: -0.2500000 + 10663 1174: 0.1250000 + 10664 = 0 + 10665 = 0 + 10667 1174: 0.2500000 + 10668 = 0 + 10669 = 0 + 10670 1130: -0.2500000 + 10670 1161: 0.1250000 + 10671 = 0 + 10672 = 0 + 10673 = 0 + 10675 1130: 0.06250000 + 10676 = 0 + 10680 10597: 1.000000 + 10681 = 0 + 10682 1130: -0.2500000 + 10682 1174: 0.1250000 + 10683 = 0 + 10684 = 0 + 10685 = 0 + 10686 10666: 1.000000 + 10687 = 0 + 10688 = 0 + 10689 = 0 + 10690 1174: 0.2500000 + 10691 = 0 + 10692 = 0 + 10693 = 0 + 10694 1130: -0.2500000 + 10694 1161: 0.1250000 + 10695 = 0 + 10696 1161: 0.2500000 + 10697 = 0 + 10698 = 0 + 10699 = 0 + 10700 = 0 + 10701 = 0 + 10702 = 0 + 10703 = 0 + 10704 = 0 + 10705 = 0 + 10706 = 0 + 10707 = 0 + 10708 1130: 0.06250000 + 10709 = 0 + 10710 = 0 + 10711 = 0 + 10712 = 0 + 10713 = 0 + 10714 = 0 + 10715 = 0 + 10716 = 0 + 10717 = 0 + 10718 = 0 + 10731 473: 0.2500000 + 10731 477: 0.2500000 + 10731 575: 0.2500000 + 10731 876: 0.2500000 + 10732 575: 0.5000000 + 10732 876: 0.5000000 + 10733 477: 0.5000000 + 10733 575: 0.5000000 + 10736 1150: 0.5000000 + 10736 10737: 0.5000000 + 10738 10865: 1.000000 + 10739 = 0 + 10740 1154: 0.1250000 + 10740 1166: -0.2500000 + 10741 = 0 + 10742 10814: 1.000000 + 10743 = 0 + 10744 1161: 0.2500000 + 10745 = 0 + 10746 1161: 0.1250000 + 10746 1162: 0.1250000 + 10746 1166: -0.2500000 + 10747 = 0 + 10748 = 0 + 10749 = 0 + 10750 10816: 1.000000 + 10751 = 0 + 10752 = 0 + 10753 = 0 + 10754 = 0 + 10759 1166: 0.06250000 + 10760 = 0 + 10761 = 0 + 10762 = 0 + 10763 = 0 + 10764 = 0 + 10765 = 0 + 10766 = 0 + 10767 = 0 + 10768 = 0 + 10777 10883: 1.000000 + 10778 = 0 + 10779 1154: 0.1250000 + 10779 1166: -0.2500000 + 10780 = 0 + 10781 = 0 + 10782 = 0 + 10783 1162: 0.2500000 + 10784 = 0 + 10791 1166: 0.06250000 + 10792 = 0 + 10793 = 0 + 10794 = 0 + 10799 = 0 + 10800 = 0 + 10801 = 0 + 10811 = 0 + 10812 = 0 + 10813 = 0 + 10815 = 0 + 10817 = 0 + 10818 = 0 + 10819 = 0 + 10822 = 0 + 10826 9667: 1.000000 + 10827 = 0 + 10828 = 0 + 10829 = 0 + 10830 = 0 + 10831 = 0 + 10832 = 0 + 10833 = 0 + 10834 = 0 + 10835 = 0 + 10838 = 0 + 10839 = 0 + 10840 = 0 + 10849 = 0 + 10850 = 0 + 10851 = 0 + 10852 = 0 + 10853 = 0 + 10854 = 0 + 10855 = 0 + 10864 1147: 0.2500000 + 10864 1148: 0.2500000 + 10864 1150: 0.2500000 + 10864 1154: -0.5000000 + 10864 1161: -0.5000000 + 10864 1162: -0.5000000 + 10864 1166: 1.000000 + 10864 10999: 0.2500000 + 10866 1154: 0.1250000 + 10866 1166: -0.2500000 + 10867 = 0 + 10868 = 0 + 10869 = 0 + 10870 = 0 + 10871 1161: 0.2500000 + 10872 1161: 0.1250000 + 10872 1162: 0.1250000 + 10872 1166: -0.2500000 + 10873 = 0 + 10874 = 0 + 10877 1166: 0.06250000 + 10880 = 0 + 10882 1148: 0.5000000 + 10882 1162: -1.000000 + 10882 10999: 0.5000000 + 10884 1154: 0.1250000 + 10884 1166: -0.2500000 + 10885 = 0 + 10886 = 0 + 10887 = 0 + 10888 = 0 + 10889 1162: 0.2500000 + 10890 = 0 + 10892 1166: 0.06250000 + 10893 = 0 + 10895 = 0 + 10897 = 0 + 10898 = 0 + 10899 = 0 + 10900 = 0 + 10901 = 0 + 10902 = 0 + 10903 = 0 + 10905 = 0 + 10911 1150: 0.2500000 + 10911 10737: 0.2500000 + 10911 10914: 0.2500000 + 10911 10999: 0.2500000 + 10912 10914: 0.5000000 + 10912 10999: 0.5000000 + 10913 10737: 0.5000000 + 10913 10914: 0.5000000 + 10915 = 0 + 10916 = 0 + 10917 = 0 + 10918 = 0 + 10919 = 0 + 10920 = 0 + 10921 = 0 + 10922 = 0 + 10923 1176: 0.1250000 + 10923 1184: -0.2500000 + 10924 = 0 + 10925 = 0 + 10926 = 0 + 10927 = 0 + 10928 = 0 + 10929 10985: 1.000000 + 10930 = 0 + 10931 = 0 + 10932 = 0 + 10933 = 0 + 10934 = 0 + 10935 1182: 0.1250000 + 10935 1184: -0.2500000 + 10936 = 0 + 10937 = 0 + 10938 = 0 + 10939 1184: 0.06250000 + 10940 = 0 + 10941 = 0 + 10942 = 0 + 10943 = 0 + 10944 = 0 + 10945 = 0 + 10946 = 0 + 10947 = 0 + 10948 = 0 + 10949 = 0 + 10950 = 0 + 10951 = 0 + 10952 = 0 + 10953 = 0 + 10954 = 0 + 10955 = 0 + 10956 = 0 + 10957 = 0 + 10958 = 0 + 10959 = 0 + 10960 = 0 + 10969 1149: 0.5000000 + 10969 10970: 0.5000000 + 10971 1149: 0.2500000 + 10971 1150: 0.2500000 + 10971 10970: 0.2500000 + 10971 10999: 0.2500000 + 10972 10970: 0.5000000 + 10972 10999: 0.5000000 + 10973 1149: 0.2500000 + 10973 1170: 0.2500000 + 10973 2269: 0.2500000 + 10973 10970: 0.2500000 + 10974 2269: 0.5000000 + 10974 10970: 0.5000000 + 10977 1149: 0.5000000 + 10977 1150: 0.5000000 + 10978 1149: 0.2500000 + 10978 1150: 0.2500000 + 10978 1170: 0.2500000 + 10978 1171: 0.2500000 + 10978 1176: -0.5000000 + 10978 1182: -0.5000000 + 10978 1184: 1.000000 + 10979 1150: 0.5000000 + 10979 1171: 0.5000000 + 10979 1182: -1.000000 + 10980 = 0 + 10981 = 0 + 10982 = 0 + 10983 1176: 0.1250000 + 10983 1184: -0.2500000 + 10984 = 0 + 10986 = 0 + 10987 1182: 0.1250000 + 10987 1184: -0.2500000 + 10988 = 0 + 10989 1182: 0.2500000 + 10990 = 0 + 10991 1184: 0.06250000 + 10992 = 0 + 10994 = 0 + 10995 = 0 + 10998 1150: 0.5000000 + 10998 10999: 0.5000000 + 11000 1150: 0.2500000 + 11000 1171: 0.2500000 + 11000 10999: 0.2500000 + 11000 11092: 0.2500000 + 11001 10999: 0.5000000 + 11001 11092: 0.5000000 + 11002 1149: 0.5000000 + 11002 1170: 0.5000000 + 11003 1170: 0.5000000 + 11003 2269: 0.5000000 + 11004 1170: 0.5000000 + 11004 1171: 0.5000000 + 11004 1176: -1.000000 + 11005 1176: 0.1250000 + 11005 1184: -0.2500000 + 11006 = 0 + 11007 = 0 + 11008 1176: 0.2500000 + 11010 = 0 + 11012 = 0 + 11013 = 0 + 11014 1182: 0.1250000 + 11014 1184: -0.2500000 + 11015 = 0 + 11016 1184: 0.06250000 + 11018 = 0 + 11023 = 0 + 11024 = 0 + 11025 = 0 + 11027 = 0 + 11028 = 0 + 11029 = 0 + 11030 = 0 + 11032 = 0 + 11033 = 0 + 11034 = 0 + 11037 1176: 0.1250000 + 11037 1184: -0.2500000 + 11038 = 0 + 11039 = 0 + 11040 = 0 + 11041 = 0 + 11042 = 0 + 11043 1176: 0.2500000 + 11044 = 0 + 11045 = 0 + 11046 = 0 + 11047 11011: 1.000000 + 11048 = 0 + 11049 = 0 + 11050 = 0 + 11051 1182: 0.1250000 + 11051 1184: -0.2500000 + 11052 = 0 + 11053 = 0 + 11054 = 0 + 11055 1182: 0.2500000 + 11056 = 0 + 11057 = 0 + 11058 = 0 + 11059 1184: 0.06250000 + 11060 = 0 + 11061 = 0 + 11062 = 0 + 11063 = 0 + 11064 = 0 + 11065 = 0 + 11066 = 0 + 11067 = 0 + 11068 = 0 + 11069 = 0 + 11070 = 0 + 11071 = 0 + 11072 = 0 + 11073 = 0 + 11074 = 0 + 11075 = 0 + 11076 = 0 + 11091 1171: 0.5000000 + 11091 11092: 0.5000000 + 11093 477: 0.5000000 + 11093 558: 0.5000000 + 11094 477: 0.2500000 + 11094 558: 0.2500000 + 11094 1150: 0.2500000 + 11094 1171: 0.2500000 + 11094 1174: -0.5000000 + 11094 1178: -0.5000000 + 11094 1182: -0.5000000 + 11094 1186: 1.000000 + 11095 = 0 + 11097 1174: 0.1250000 + 11097 1178: 0.1250000 + 11097 1186: -0.2500000 + 11098 = 0 + 11099 = 0 + 11100 1182: 0.1250000 + 11100 1186: -0.2500000 + 11101 = 0 + 11103 = 0 + 11105 1186: 0.06250000 + 11109 11096: 1.000000 + 11110 = 0 + 11111 1199: 0.1250000 + 11111 1215: -0.2500000 + 11112 = 0 + 11113 1174: 0.1250000 + 11113 1178: 0.1250000 + 11113 1186: -0.2500000 + 11114 = 0 + 11115 11169: 1.000000 + 11116 = 0 + 11117 1182: 0.1250000 + 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0.5000000 + 14872 6688: 0.2500000 + 14872 6689: 0.2500000 + 14872 6911: 0.2500000 + 14872 6912: 0.2500000 + 14873 = 0 + 14874 = 0 + 14875 = 0 + 14876 = 0 + 14877 = 0 + 14878 = 0 + 14880 = 0 + 14881 = 0 + 14882 = 0 + 14883 = 0 + 14884 = 0 + 14885 = 0 + 14886 = 0 + 14888 = 0 + 14889 = 0 + 14892 6687: 0.5000000 + 14892 7606: 0.5000000 + 14893 = 0 + 14894 = 0 + 14895 = 0 + 14896 = 0 + 14897 = 0 + 14898 = 0 + 14899 = 0 + 14900 = 0 + 14901 = 0 + 14902 = 0 + 14903 = 0 + 14904 = 0 + 14905 = 0 + 14906 = 0 + 14907 = 0 + 14908 = 0 + 14910 = 0 + 14912 6683: 0.2500000 + 14912 6687: 0.2500000 + 14912 7606: 0.2500000 + 14912 7607: 0.2500000 + 14913 6683: 0.5000000 + 14913 7607: 0.5000000 + 14915 7606: 0.5000000 + 14915 7607: 0.5000000 + 14916 6911: 0.2500000 + 14916 6912: 0.2500000 + 14916 7606: 0.2500000 + 14916 7607: 0.2500000 + 14917 6912: 0.5000000 + 14917 7607: 0.5000000 + 14918 6911: 0.5000000 + 14918 7606: 0.5000000 + 14919 6911: 0.5000000 + 14919 6912: 0.5000000 + 14920 = 0 + 14921 = 0 + 14922 = 0 + 14923 = 0 + 14924 = 0 + 14925 = 0 + 14926 = 0 + 14927 = 0 + 14928 = 0 + 14929 = 0 + 14930 = 0 + 14931 = 0 + 14932 = 0 + 14933 = 0 + 14934 = 0 + 14935 = 0 + 14936 = 0 + 14937 = 0 + 14938 = 0 + 14939 = 0 + 14940 = 0 + 14941 = 0 + 14942 = 0 + 14943 = 0 + 14944 = 0 + 14945 = 0 + 14946 = 0 + 14947 = 0 + 14948 = 0 + 14949 = 0 + 14950 = 0 + 14951 = 0 + 14952 = 0 + 14953 = 0 + 14954 = 0 + 14955 = 0 + 14956 = 0 + 14957 = 0 + 14958 = 0 + 14959 = 0 + 14960 = 0 + 14961 = 0 + 14962 = 0 + 14963 = 0 + 14964 = 0 + 14973 6683: 0.5000000 + 14973 6684: 0.5000000 + 14974 = 0 + 14975 = 0 + 14976 = 0 + 14977 = 0 + 14978 = 0 + 14979 = 0 + 14980 15074: 1.000000 + 14981 = 0 + 14982 6732: 0.1250000 + 14982 6737: -0.2500000 + 14983 = 0 + 14984 = 0 + 14985 = 0 + 14986 6734: 0.1250000 + 14986 6737: -0.2500000 + 14987 = 0 + 14988 = 0 + 14989 = 0 + 14994 6737: 0.06250000 + 14995 = 0 + 14996 = 0 + 14997 = 0 + 14998 = 0 + 14999 = 0 + 15000 = 0 + 15001 = 0 + 15002 = 0 + 15003 = 0 + 15004 = 0 + 15005 = 0 + 15006 = 0 + 15007 = 0 + 15008 = 0 + 15017 6684: 0.5000000 + 15017 6734: -1.000000 + 15017 6817: 0.5000000 + 15018 = 0 + 15019 = 0 + 15020 = 0 + 15021 = 0 + 15022 = 0 + 15023 = 0 + 15024 = 0 + 15025 = 0 + 15026 6732: 0.1250000 + 15026 6737: -0.2500000 + 15027 = 0 + 15028 = 0 + 15029 = 0 + 15030 6734: 0.2500000 + 15031 = 0 + 15032 = 0 + 15033 = 0 + 15034 = 0 + 15035 = 0 + 15036 = 0 + 15037 = 0 + 15038 6737: 0.06250000 + 15039 = 0 + 15040 = 0 + 15041 = 0 + 15042 = 0 + 15043 = 0 + 15044 = 0 + 15045 = 0 + 15046 = 0 + 15047 = 0 + 15048 = 0 + 15049 = 0 + 15062 6683: 0.5000000 + 15062 6689: 0.5000000 + 15063 6683: 0.2500000 + 15063 6684: 0.2500000 + 15063 6689: 0.2500000 + 15063 7080: 0.2500000 + 15064 6689: 0.5000000 + 15064 7080: 0.5000000 + 15066 6689: 0.5000000 + 15066 6912: 0.5000000 + 15067 6689: 0.2500000 + 15067 6819: 0.2500000 + 15067 6912: 0.2500000 + 15067 7080: 0.2500000 + 15068 6684: 0.5000000 + 15068 7080: 0.5000000 + 15069 6684: 0.2500000 + 15069 6817: 0.2500000 + 15069 6819: 0.2500000 + 15069 7080: 0.2500000 + 15070 6819: 0.5000000 + 15070 7080: 0.5000000 + 15071 6683: 0.2500000 + 15071 6684: 0.2500000 + 15071 6732: -0.5000000 + 15071 6734: -0.5000000 + 15071 6737: 1.000000 + 15071 6817: 0.2500000 + 15071 7607: 0.2500000 + 15072 6732: -1.000000 + 15072 6817: 0.5000000 + 15072 7607: 0.5000000 + 15073 = 0 + 15075 6732: 0.1250000 + 15075 6737: -0.2500000 + 15076 = 0 + 15077 = 0 + 15078 = 0 + 15079 6732: 0.2500000 + 15080 = 0 + 15081 = 0 + 15082 6734: 0.1250000 + 15082 6737: -0.2500000 + 15083 = 0 + 15084 = 0 + 15085 = 0 + 15087 6737: 0.06250000 + 15088 = 0 + 15090 = 0 + 15092 6817: 0.5000000 + 15092 6819: 0.5000000 + 15093 = 0 + 15094 = 0 + 15095 = 0 + 15096 = 0 + 15097 6732: 0.2500000 + 15098 = 0 + 15099 = 0 + 15100 = 0 + 15101 6734: 0.1250000 + 15101 6737: -0.2500000 + 15102 = 0 + 15103 6734: 0.2500000 + 15104 = 0 + 15105 = 0 + 15106 = 0 + 15107 = 0 + 15108 = 0 + 15109 = 0 + 15110 = 0 + 15111 = 0 + 15112 = 0 + 15113 = 0 + 15114 = 0 + 15115 = 0 + 15116 6737: 0.06250000 + 15117 = 0 + 15118 = 0 + 15119 = 0 + 15124 = 0 + 15125 = 0 + 15126 = 0 + 15127 = 0 + 15136 6817: 0.2500000 + 15136 6819: 0.2500000 + 15136 6912: 0.2500000 + 15136 7607: 0.2500000 + 15137 6819: 0.5000000 + 15137 6912: 0.5000000 + 15138 = 0 + 15139 = 0 + 15140 = 0 + 15141 = 0 + 15142 = 0 + 15143 = 0 + 15144 = 0 + 15145 = 0 + 15146 = 0 + 15147 = 0 + 15148 = 0 + 15149 = 0 + 15150 = 0 + 15151 = 0 + 15152 = 0 + 15153 = 0 + 15154 = 0 + 15155 = 0 + 15156 = 0 + 15157 = 0 + 15158 = 0 + 15159 = 0 + 15160 = 0 + 15161 = 0 + 15162 = 0 + 15163 = 0 + 15164 = 0 + 15165 = 0 + 15166 = 0 + 15167 = 0 + 15168 = 0 + 15169 = 0 + 15170 = 0 + 15171 = 0 + 15172 = 0 + 15173 = 0 + 15183 6795: 0.5000000 + 15183 15182: 0.5000000 + 15184 6821: 0.5000000 + 15184 15182: 0.5000000 + 15185 6795: 0.2500000 + 15185 6821: 0.2500000 + 15185 6822: 0.2500000 + 15185 15182: 0.2500000 + 15186 10655: 0.5000000 + 15186 15182: 0.5000000 + 15187 6795: 0.2500000 + 15187 10655: 0.2500000 + 15187 11840: 0.2500000 + 15187 15182: 0.2500000 + 15188 6821: 0.2500000 + 15188 6892: 0.2500000 + 15188 10655: 0.2500000 + 15188 15182: 0.2500000 + 15190 6795: 0.5000000 + 15190 6822: 0.5000000 + 15191 = 0 + 15192 = 0 + 15193 = 0 + 15194 = 0 + 15195 = 0 + 15196 = 0 + 15197 = 0 + 15198 = 0 + 15199 = 0 + 15200 = 0 + 15201 = 0 + 15202 = 0 + 15203 = 0 + 15204 = 0 + 15205 = 0 + 15206 = 0 + 15207 = 0 + 15208 = 0 + 15209 = 0 + 15210 = 0 + 15211 = 0 + 15212 = 0 + 15213 = 0 + 15214 = 0 + 15215 = 0 + 15216 = 0 + 15217 = 0 + 15218 = 0 + 15219 = 0 + 15220 = 0 + 15221 = 0 + 15222 = 0 + 15223 = 0 + 15224 = 0 + 15225 = 0 + 15226 = 0 + 15231 = 0 + 15232 = 0 + 15233 = 0 + 15234 = 0 + 15235 = 0 + 15236 = 0 + 15237 = 0 + 15238 = 0 + 15247 6821: 0.5000000 + 15247 6822: 0.5000000 + 15248 6821: 0.5000000 + 15248 6892: 0.5000000 + 15249 = 0 + 15250 = 0 + 15251 = 0 + 15252 = 0 + 15253 = 0 + 15254 = 0 + 15255 = 0 + 15256 = 0 + 15257 = 0 + 15258 = 0 + 15259 = 0 + 15260 = 0 + 15261 = 0 + 15263 = 0 + 15264 = 0 + 15265 = 0 + 15268 = 0 + 15269 = 0 + 15270 = 0 + 15271 = 0 + 15272 = 0 + 15273 = 0 + 15274 = 0 + 15275 = 0 + 15276 = 0 + 15277 = 0 + 15278 = 0 + 15279 = 0 + 15280 = 0 + 15281 = 0 + 15282 = 0 + 15283 = 0 + 15284 = 0 + 15285 = 0 + 15286 = 0 + 15287 = 0 + 15288 = 0 + 15289 = 0 + 15290 = 0 + 15291 = 0 + 15292 = 0 + 15293 = 0 + 15294 = 0 + 15295 = 0 + 15296 = 0 + 15297 = 0 + 15298 = 0 + 15299 = 0 + 15300 = 0 + 15301 = 0 + 15302 = 0 + 15311 = 0 + 15312 = 0 + 15313 = 0 + 15314 = 0 + 15315 = 0 + 15316 = 0 + 15317 = 0 + 15318 = 0 + 15319 = 0 + 15320 = 0 + 15321 = 0 + 15322 = 0 + 15323 = 0 + 15324 = 0 + 15325 = 0 + 15326 = 0 + 15327 = 0 + 15328 = 0 + 15329 = 0 + 15330 = 0 + 15331 = 0 + 15332 = 0 + 15333 = 0 + 15334 = 0 + 15335 = 0 + 15336 = 0 + 15337 = 0 + 15338 = 0 + 15339 = 0 + 15340 = 0 + 15341 = 0 + 15342 = 0 + 15343 = 0 + 15344 = 0 + 15345 = 0 + 15346 = 0 + 15347 = 0 + 15348 = 0 + 15349 = 0 + 15350 = 0 + 15351 = 0 + 15352 = 0 + 15353 = 0 + 15354 = 0 + 15355 = 0 + 15364 6795: 0.5000000 + 15364 11840: 0.5000000 + 15365 6795: 0.2500000 + 15365 6822: 0.2500000 + 15365 6893: 0.2500000 + 15365 11840: 0.2500000 + 15366 10655: 0.5000000 + 15366 11840: 0.5000000 + 15367 6892: 0.2500000 + 15367 6893: 0.2500000 + 15367 10655: 0.2500000 + 15367 11840: 0.2500000 + 15368 6893: 0.5000000 + 15368 11840: 0.5000000 + 15369 6892: 0.5000000 + 15369 10655: 0.5000000 + 15370 = 0 + 15371 = 0 + 15372 = 0 + 15373 = 0 + 15374 = 0 + 15375 = 0 + 15376 = 0 + 15377 = 0 + 15378 = 0 + 15379 = 0 + 15381 = 0 + 15382 = 0 + 15384 6821: 0.2500000 + 15384 6822: 0.2500000 + 15384 6892: 0.2500000 + 15384 6893: 0.2500000 + 15385 6822: 0.5000000 + 15385 6893: 0.5000000 + 15386 6892: 0.5000000 + 15386 6893: 0.5000000 + 15387 6912: 0.5000000 + 15387 6914: 0.5000000 + 15388 6819: 0.2500000 + 15388 6912: 0.2500000 + 15388 6914: 0.2500000 + 15388 7561: 0.2500000 + 15389 6912: 0.5000000 + 15389 6916: 0.5000000 + 15390 6819: 0.2500000 + 15390 6823: 0.2500000 + 15390 6912: 0.2500000 + 15390 6916: 0.2500000 + 15391 6912: 0.2500000 + 15391 6914: 0.2500000 + 15391 6916: 0.2500000 + 15391 6918: 0.2500000 + 15393 6819: 0.5000000 + 15393 7561: 0.5000000 + 15394 6819: 0.5000000 + 15394 6823: 0.5000000 + 15395 6819: 0.2500000 + 15395 6823: 0.2500000 + 15395 7011: 0.2500000 + 15395 7561: 0.2500000 + 15396 6914: 0.5000000 + 15396 7561: 0.5000000 + 15397 6914: 0.5000000 + 15397 6918: 0.5000000 + 15399 7011: 0.5000000 + 15399 7561: 0.5000000 + 15400 = 0 + 15401 = 0 + 15402 = 0 + 15403 = 0 + 15404 = 0 + 15405 = 0 + 15406 = 0 + 15407 = 0 + 15408 = 0 + 15409 = 0 + 15410 = 0 + 15411 = 0 + 15412 = 0 + 15413 = 0 + 15414 = 0 + 15415 = 0 + 15416 = 0 + 15417 = 0 + 15418 = 0 + 15419 = 0 + 15420 = 0 + 15421 = 0 + 15422 = 0 + 15423 = 0 + 15424 = 0 + 15425 = 0 + 15426 = 0 + 15427 = 0 + 15428 = 0 + 15429 = 0 + 15430 = 0 + 15431 = 0 + 15432 = 0 + 15433 = 0 + 15434 = 0 + 15435 = 0 + 15436 = 0 + 15437 = 0 + 15438 = 0 + 15439 = 0 + 15440 = 0 + 15441 = 0 + 15442 = 0 + 15443 = 0 + 15444 = 0 + 15445 = 0 + 15446 = 0 + 15447 = 0 + 15456 6823: 0.5000000 + 15456 6916: 0.5000000 + 15457 6823: 0.2500000 + 15457 6916: 0.2500000 + 15457 6918: 0.2500000 + 15457 7011: 0.2500000 + 15458 6823: 0.5000000 + 15458 7011: 0.5000000 + 15459 6916: 0.5000000 + 15459 6918: 0.5000000 + 15460 6918: 0.5000000 + 15460 7011: 0.5000000 + 15461 = 0 + 15462 = 0 + 15463 = 0 + 15464 = 0 + 15465 = 0 + 15466 = 0 + 15467 = 0 + 15468 = 0 + 15469 = 0 + 15470 = 0 + 15471 = 0 + 15472 = 0 + 15473 = 0 + 15474 = 0 + 15475 = 0 + 15476 = 0 + 15477 = 0 + 15478 = 0 + 15479 = 0 + 15480 = 0 + 15481 = 0 + 15482 = 0 + 15483 = 0 + 15484 = 0 + 15485 = 0 + 15486 = 0 + 15487 = 0 + 15488 = 0 + 15489 = 0 + 15490 = 0 + 15491 = 0 + 15492 = 0 + 15493 = 0 + 15494 = 0 + 15495 = 0 + 15496 = 0 + 15497 = 0 + 15498 = 0 + 15499 = 0 + 15500 = 0 + 15501 = 0 + 15502 = 0 + 15503 = 0 + 15504 = 0 + 15505 = 0 + 15514 6914: 0.5000000 + 15514 6920: 0.5000000 + 15515 6914: 0.2500000 + 15515 6920: 0.2500000 + 15515 7561: 0.2500000 + 15515 7582: 0.2500000 + 15516 6914: 0.2500000 + 15516 6918: 0.2500000 + 15516 6920: 0.2500000 + 15516 6922: 0.2500000 + 15518 7561: 0.5000000 + 15518 7582: 0.5000000 + 15519 7011: 0.2500000 + 15519 7012: 0.2500000 + 15519 7561: 0.2500000 + 15519 7582: 0.2500000 + 15520 6920: 0.5000000 + 15520 7582: 0.5000000 + 15521 6920: 0.5000000 + 15521 6922: 0.5000000 + 15522 = 0 + 15523 = 0 + 15524 = 0 + 15525 = 0 + 15526 = 0 + 15527 = 0 + 15528 = 0 + 15530 = 0 + 15531 = 0 + 15532 = 0 + 15534 = 0 + 15536 = 0 + 15538 = 0 + 15541 = 0 + 15542 = 0 + 15543 = 0 + 15544 = 0 + 15545 = 0 + 15546 = 0 + 15547 = 0 + 15548 = 0 + 15549 = 0 + 15550 = 0 + 15552 = 0 + 15553 = 0 + 15555 6918: 0.5000000 + 15555 6922: 0.5000000 + 15556 = 0 + 15557 = 0 + 15558 = 0 + 15559 = 0 + 15560 = 0 + 15561 = 0 + 15562 = 0 + 15563 = 0 + 15564 = 0 + 15565 = 0 + 15566 = 0 + 15567 = 0 + 15569 = 0 + 15571 = 0 + 15572 = 0 + 15574 = 0 + 15575 = 0 + 15576 = 0 + 15577 = 0 + 15578 = 0 + 15579 = 0 + 15580 = 0 + 15581 = 0 + 15583 = 0 + 15584 = 0 + 15585 = 0 + 15587 = 0 + 15588 = 0 + 15589 = 0 + 15590 = 0 + 15591 = 0 + 15592 = 0 + 15593 = 0 + 15595 = 0 + 15598 7012: 0.5000000 + 15598 7582: 0.5000000 + 15599 6918: 0.2500000 + 15599 6922: 0.2500000 + 15599 7011: 0.2500000 + 15599 7012: 0.2500000 + 15600 7011: 0.5000000 + 15600 7012: 0.5000000 + 15601 6922: 0.5000000 + 15601 7012: 0.5000000 +DEAL:: +DEAL:: +DEAL:: +DEAL:: diff --git a/tests/hp/hp_q_hierarchical_constraints.cc b/tests/hp/hp_q_hierarchical_constraints.cc new file mode 100644 index 0000000000..fa78dd1827 --- /dev/null +++ b/tests/hp/hp_q_hierarchical_constraints.cc @@ -0,0 +1,138 @@ +#include "../tests.h" + +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include + +#include +#include + +/* A test to check that the resulting FE space is continuous + * for different hp-refinement cases (p-only, "simple", "complex"). + * This was confirmed by visual examination (see #define below). + * The correct constrains are written in a log to make a unit test. + */ + +//#define FEQH_DEBUG_OUTPUT + +using namespace dealii; + +template +void test(const bool apply_constrains, const unsigned int hp) +{ + Triangulation triangulation; + { + Triangulation triangulationL; + Triangulation triangulationR; + GridGenerator::hyper_cube (triangulationL, -1,0); //create a square [-1,0]^d domain + GridGenerator::hyper_cube (triangulationR, -1,0); //create a square [-1,0]^d domain + Point shift_vector; + shift_vector[0] = 1.0; + GridTools::shift(shift_vector,triangulationR); + GridGenerator::merge_triangulations (triangulationL, triangulationR, triangulation); + } + + hp::FECollection fe; + hp::DoFHandler dof_handler(triangulation); + ConstraintMatrix constraints; //for boundary conditions + + + // populate fe system: + fe.push_back(FE_Q_Hierarchical(2)); + fe.push_back(FE_Q_Hierarchical(4)); + + // set one cell to have different active_fe_index: + typename hp::DoFHandler::active_cell_iterator cell = dof_handler.begin_active(); + cell->set_active_fe_index(1); + + // need to distribute dofs before refinement, + // otherwise active fe index will not transfer to child cells + dof_handler.distribute_dofs(fe); + + // refine first cell (simple case) + std::string hp_string; + if (hp == 1) + { + hp_string = "_hpSimple"; + cell->set_refine_flag(); + } + // refine second cell + else if (hp == 2) + { + hp_string = "_hpComplex"; + cell++; + cell->set_refine_flag(); + } + + triangulation.execute_coarsening_and_refinement(); + + dof_handler.distribute_dofs(fe); + constraints.clear (); + DoFTools::make_hanging_node_constraints(dof_handler, constraints); + constraints.close(); + + const unsigned int n_dofs = dof_handler.n_dofs(); + + Vector v(n_dofs); + + if (apply_constrains) + deallog << hp_string << std::endl; + + for (unsigned int i = 0; i < n_dofs; i++) + { + v = 0.; + v[i] = 1.; + if (apply_constrains) + { + constraints.distribute(v); + deallog << "i="< > data_out; + data_out.attach_dof_handler (dof_handler); + + data_out.add_data_vector (v, "shape_function"); + + // do so rather big number of subdivision to better see shape functions + data_out.build_patches (20); + + std::ostringstream filename; + filename << "shape_" << dim << "d" << (apply_constrains ? "_constrained" : "") << hp_string << "_" << i << ".vtk"; + + std::ofstream output (filename.str().c_str()); + data_out.write_vtk (output); +#endif + + } +} + +int main (int argc, char *argv[]) +{ + std::ofstream logfile ("output"); + deallog.attach(logfile); + deallog.depth_console(0); + deallog.threshold_double(2.e-15); + + test<2>(true,0); + test<2>(true,1); + test<2>(true,2); + +#ifdef FEQH_DEBUG_OUTPUT + test<2>(false,0); + test<2>(false,1); + test<2>(false,2); +#endif +} \ No newline at end of file diff --git a/tests/hp/hp_q_hierarchical_constraints.output b/tests/hp/hp_q_hierarchical_constraints.output new file mode 100644 index 0000000000..34cf1c1eb0 --- /dev/null +++ b/tests/hp/hp_q_hierarchical_constraints.output @@ -0,0 +1,1359 @@ + +DEAL:: +DEAL::i=0 + 5 = 0 + 6 = 0 +DEAL::i=1 + 5 = 0 + 6 = 0 +DEAL::i=2 + 5 = 0 + 6 = 0 +DEAL::i=3 + 5 = 0 + 6 = 0 +DEAL::i=4 + 5 = 0 + 6 = 0 +DEAL::i=5 + 5 = 0 + 6 = 0 +DEAL::i=6 + 5 = 0 + 6 = 0 +DEAL::i=7 + 5 = 0 + 6 = 0 +DEAL::i=8 + 5 = 0 + 6 = 0 +DEAL::i=9 + 5 = 0 + 6 = 0 +DEAL::i=10 + 5 = 0 + 6 = 0 +DEAL::i=11 + 5 = 0 + 6 = 0 +DEAL::i=12 + 5 = 0 + 6 = 0 +DEAL::i=13 + 5 = 0 + 6 = 0 +DEAL::i=14 + 5 = 0 + 6 = 0 +DEAL::i=15 + 5 = 0 + 6 = 0 +DEAL::i=16 + 5 = 0 + 6 = 0 +DEAL::i=17 + 5 = 0 + 6 = 0 +DEAL::i=18 + 5 = 0 + 6 = 0 +DEAL::i=19 + 5 = 0 + 6 = 0 +DEAL::i=20 + 5 = 0 + 6 = 0 +DEAL::i=21 + 5 = 0 + 6 = 0 +DEAL::i=22 + 5 = 0 + 6 = 0 +DEAL::i=23 + 5 = 0 + 6 = 0 +DEAL::i=24 + 5 = 0 + 6 = 0 +DEAL::i=25 + 5 = 0 + 6 = 0 +DEAL::i=26 + 5 = 0 + 6 = 0 +DEAL::i=27 + 5 = 0 + 6 = 0 +DEAL::i=28 + 5 = 0 + 6 = 0 +DEAL::i=29 + 5 = 0 + 6 = 0 +DEAL::i=30 + 5 = 0 + 6 = 0 +DEAL::i=0 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=1 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=2 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=3 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=4 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=5 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=6 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=7 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=8 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=9 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=10 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=11 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=12 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=13 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=14 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=15 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=16 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=17 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=18 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=19 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=20 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=21 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=22 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=23 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=24 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=25 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=26 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=27 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=28 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=29 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=30 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=31 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=32 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=33 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=34 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=35 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=36 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=37 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=38 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=39 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=40 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=41 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=42 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=43 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=44 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=45 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=46 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=47 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=48 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=49 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=50 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=51 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=52 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=53 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=54 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=55 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=56 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=57 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=58 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=59 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=60 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=61 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=62 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=63 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=64 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=65 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=66 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=67 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=68 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=69 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=70 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=71 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=72 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=73 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=74 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=75 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=76 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=77 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=78 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=79 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=80 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=81 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=82 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=83 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=84 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=85 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=86 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=87 + 34 0: 0.500000 + 34 2: 0.500000 + 34 4: -1.00000 + 35 4: 0.250000 + 36 = 0 + 37 = 0 + 73 4: 0.250000 + 74 = 0 + 75 = 0 +DEAL::i=0 + 6 = 0 + 7 = 0 + 25 5: -1.00000 + 25 23: 0.500000 + 25 38: 0.500000 + 27 5: 0.250000 + 40 5: 0.250000 +DEAL::i=1 + 6 = 0 + 7 = 0 + 25 5: -1.00000 + 25 23: 0.500000 + 25 38: 0.500000 + 27 5: 0.250000 + 40 5: 0.250000 +DEAL::i=2 + 6 = 0 + 7 = 0 + 25 5: -1.00000 + 25 23: 0.500000 + 25 38: 0.500000 + 27 5: 0.250000 + 40 5: 0.250000 +DEAL::i=3 + 6 = 0 + 7 = 0 + 25 5: -1.00000 + 25 23: 0.500000 + 25 38: 0.500000 + 27 5: 0.250000 + 40 5: 0.250000 +DEAL::i=4 + 6 = 0 + 7 = 0 + 25 5: -1.00000 + 25 23: 0.500000 + 25 38: 0.500000 + 27 5: 0.250000 + 40 5: 0.250000 +DEAL::i=5 + 6 = 0 + 7 = 0 + 25 5: -1.00000 + 25 23: 0.500000 + 25 38: 0.500000 + 27 5: 0.250000 + 40 5: 0.250000 +DEAL::i=6 + 6 = 0 + 7 = 0 + 25 5: -1.00000 + 25 23: 0.500000 + 25 38: 0.500000 + 27 5: 0.250000 + 40 5: 0.250000 +DEAL::i=7 + 6 = 0 + 7 = 0 + 25 5: -1.00000 + 25 23: 0.500000 + 25 38: 0.500000 + 27 5: 0.250000 + 40 5: 0.250000 +DEAL::i=8 + 6 = 0 + 7 = 0 + 25 5: -1.00000 + 25 23: 0.500000 + 25 38: 0.500000 + 27 5: 0.250000 + 40 5: 0.250000 +DEAL::i=9 + 6 = 0 + 7 = 0 + 25 5: -1.00000 + 25 23: 0.500000 + 25 38: 0.500000 + 27 5: 0.250000 + 40 5: 0.250000 +DEAL::i=10 + 6 = 0 + 7 = 0 + 25 5: -1.00000 + 25 23: 0.500000 + 25 38: 0.500000 + 27 5: 0.250000 + 40 5: 0.250000 +DEAL::i=11 + 6 = 0 + 7 = 0 + 25 5: -1.00000 + 25 23: 0.500000 + 25 38: 0.500000 + 27 5: 0.250000 + 40 5: 0.250000 +DEAL::i=12 + 6 = 0 + 7 = 0 + 25 5: -1.00000 + 25 23: 0.500000 + 25 38: 0.500000 + 27 5: 0.250000 + 40 5: 0.250000 +DEAL::i=13 + 6 = 0 + 7 = 0 + 25 5: -1.00000 + 25 23: 0.500000 + 25 38: 0.500000 + 27 5: 0.250000 + 40 5: 0.250000 +DEAL::i=14 + 6 = 0 + 7 = 0 + 25 5: -1.00000 + 25 23: 0.500000 + 25 38: 0.500000 + 27 5: 0.250000 + 40 5: 0.250000 +DEAL::i=15 + 6 = 0 + 7 = 0 + 25 5: -1.00000 + 25 23: 0.500000 + 25 38: 0.500000 + 27 5: 0.250000 + 40 5: 0.250000 +DEAL::i=16 + 6 = 0 + 7 = 0 + 25 5: -1.00000 + 25 23: 0.500000 + 25 38: 0.500000 + 27 5: 0.250000 + 40 5: 0.250000 +DEAL::i=17 + 6 = 0 + 7 = 0 + 25 5: -1.00000 + 25 23: 0.500000 + 25 38: 0.500000 + 27 5: 0.250000 + 40 5: 0.250000 +DEAL::i=18 + 6 = 0 + 7 = 0 + 25 5: -1.00000 + 25 23: 0.500000 + 25 38: 0.500000 + 27 5: 0.250000 + 40 5: 0.250000 +DEAL::i=19 + 6 = 0 + 7 = 0 + 25 5: -1.00000 + 25 23: 0.500000 + 25 38: 0.500000 + 27 5: 0.250000 + 40 5: 0.250000 +DEAL::i=20 + 6 = 0 + 7 = 0 + 25 5: -1.00000 + 25 23: 0.500000 + 25 38: 0.500000 + 27 5: 0.250000 + 40 5: 0.250000 +DEAL::i=21 + 6 = 0 + 7 = 0 + 25 5: -1.00000 + 25 23: 0.500000 + 25 38: 0.500000 + 27 5: 0.250000 + 40 5: 0.250000 +DEAL::i=22 + 6 = 0 + 7 = 0 + 25 5: -1.00000 + 25 23: 0.500000 + 25 38: 0.500000 + 27 5: 0.250000 + 40 5: 0.250000 +DEAL::i=23 + 6 = 0 + 7 = 0 + 25 5: -1.00000 + 25 23: 0.500000 + 25 38: 0.500000 + 27 5: 0.250000 + 40 5: 0.250000 +DEAL::i=24 + 6 = 0 + 7 = 0 + 25 5: -1.00000 + 25 23: 0.500000 + 25 38: 0.500000 + 27 5: 0.250000 + 40 5: 0.250000 +DEAL::i=25 + 6 = 0 + 7 = 0 + 25 5: -1.00000 + 25 23: 0.500000 + 25 38: 0.500000 + 27 5: 0.250000 + 40 5: 0.250000 +DEAL::i=26 + 6 = 0 + 7 = 0 + 25 5: -1.00000 + 25 23: 0.500000 + 25 38: 0.500000 + 27 5: 0.250000 + 40 5: 0.250000 +DEAL::i=27 + 6 = 0 + 7 = 0 + 25 5: -1.00000 + 25 23: 0.500000 + 25 38: 0.500000 + 27 5: 0.250000 + 40 5: 0.250000 +DEAL::i=28 + 6 = 0 + 7 = 0 + 25 5: -1.00000 + 25 23: 0.500000 + 25 38: 0.500000 + 27 5: 0.250000 + 40 5: 0.250000 +DEAL::i=29 + 6 = 0 + 7 = 0 + 25 5: -1.00000 + 25 23: 0.500000 + 25 38: 0.500000 + 27 5: 0.250000 + 40 5: 0.250000 +DEAL::i=30 + 6 = 0 + 7 = 0 + 25 5: -1.00000 + 25 23: 0.500000 + 25 38: 0.500000 + 27 5: 0.250000 + 40 5: 0.250000 +DEAL::i=31 + 6 = 0 + 7 = 0 + 25 5: -1.00000 + 25 23: 0.500000 + 25 38: 0.500000 + 27 5: 0.250000 + 40 5: 0.250000 +DEAL::i=32 + 6 = 0 + 7 = 0 + 25 5: -1.00000 + 25 23: 0.500000 + 25 38: 0.500000 + 27 5: 0.250000 + 40 5: 0.250000 +DEAL::i=33 + 6 = 0 + 7 = 0 + 25 5: -1.00000 + 25 23: 0.500000 + 25 38: 0.500000 + 27 5: 0.250000 + 40 5: 0.250000 +DEAL::i=34 + 6 = 0 + 7 = 0 + 25 5: -1.00000 + 25 23: 0.500000 + 25 38: 0.500000 + 27 5: 0.250000 + 40 5: 0.250000 +DEAL::i=35 + 6 = 0 + 7 = 0 + 25 5: -1.00000 + 25 23: 0.500000 + 25 38: 0.500000 + 27 5: 0.250000 + 40 5: 0.250000 +DEAL::i=36 + 6 = 0 + 7 = 0 + 25 5: -1.00000 + 25 23: 0.500000 + 25 38: 0.500000 + 27 5: 0.250000 + 40 5: 0.250000 +DEAL::i=37 + 6 = 0 + 7 = 0 + 25 5: -1.00000 + 25 23: 0.500000 + 25 38: 0.500000 + 27 5: 0.250000 + 40 5: 0.250000 +DEAL::i=38 + 6 = 0 + 7 = 0 + 25 5: -1.00000 + 25 23: 0.500000 + 25 38: 0.500000 + 27 5: 0.250000 + 40 5: 0.250000 +DEAL::i=39 + 6 = 0 + 7 = 0 + 25 5: -1.00000 + 25 23: 0.500000 + 25 38: 0.500000 + 27 5: 0.250000 + 40 5: 0.250000 +DEAL::i=40 + 6 = 0 + 7 = 0 + 25 5: -1.00000 + 25 23: 0.500000 + 25 38: 0.500000 + 27 5: 0.250000 + 40 5: 0.250000 +DEAL::i=41 + 6 = 0 + 7 = 0 + 25 5: -1.00000 + 25 23: 0.500000 + 25 38: 0.500000 + 27 5: 0.250000 + 40 5: 0.250000 +DEAL::i=42 + 6 = 0 + 7 = 0 + 25 5: -1.00000 + 25 23: 0.500000 + 25 38: 0.500000 + 27 5: 0.250000 + 40 5: 0.250000 +DEAL::i=43 + 6 = 0 + 7 = 0 + 25 5: -1.00000 + 25 23: 0.500000 + 25 38: 0.500000 + 27 5: 0.250000 + 40 5: 0.250000 +DEAL::i=44 + 6 = 0 + 7 = 0 + 25 5: -1.00000 + 25 23: 0.500000 + 25 38: 0.500000 + 27 5: 0.250000 + 40 5: 0.250000 +DEAL::i=45 + 6 = 0 + 7 = 0 + 25 5: -1.00000 + 25 23: 0.500000 + 25 38: 0.500000 + 27 5: 0.250000 + 40 5: 0.250000 +DEAL::i=46 + 6 = 0 + 7 = 0 + 25 5: -1.00000 + 25 23: 0.500000 + 25 38: 0.500000 + 27 5: 0.250000 + 40 5: 0.250000 +DEAL::i=47 + 6 = 0 + 7 = 0 + 25 5: -1.00000 + 25 23: 0.500000 + 25 38: 0.500000 + 27 5: 0.250000 + 40 5: 0.250000