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on-restart-benchmarks/software/gecode/examples/magic-square-partial.cpp

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/* -*- mode: C++; c-basic-offset: 2; indent-tabs-mode: nil -*- */
/*
* Main authors:
* Christian Schulte <schulte@gecode.org>
*
* Contributing authors:
* Samuel Gagnon <samuel.gagnon92@gmail.com>
* Copyright:
* Christian Schulte, 2001
* Samuel Gagnon, 2018
*
* This file is part of Gecode, the generic constraint
* development environment:
* http://www.gecode.org
*
* Permission is hereby granted, free of charge, to any person obtaining
* a copy of this software and associated documentation files (the
* "Software"), to deal in the Software without restriction, including
* without limitation the rights to use, copy, modify, merge, publish,
* distribute, sublicense, and/or sell copies of the Software, and to
* permit persons to whom the Software is furnished to do so, subject to
* the following conditions:
*
* The above copyright notice and this permission notice shall be
* included in all copies or substantial portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
* NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE
* LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
* OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
* WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
*
*/
#include <gecode/driver.hh>
#include <gecode/int.hh>
#include <gecode/minimodel.hh>
using namespace Gecode;
namespace {
/// List of specifications
extern const int *specs[];
/// Number of specifications
extern const unsigned int n_examples;
}
/**
* \brief %Example: Magic squares
*
* Compute magic squares of arbitrary size
*
* See problem 19 at http://www.csplib.org/.
*
* \ingroup Example
*
*/
class MagicSquare : public Script {
private:
/// Specification to be used
const int* spec;
/// Number of filled squares
const int n_filled;
/// Size of magic square
const int n;
/// Fields of square
IntVarArray x;
public:
/// Branching to use for model
enum {
BRANCH_SIZE, ///< Branch by size
BRANCH_AFC_SIZE, ///< Branch by size over AFC
BRANCH_CBS_MAX_SD ///< Use maximum solution density
};
/// Post constraints
MagicSquare(const SizeOptions& opt)
: Script(opt), spec(specs[opt.size()]),
n_filled(spec[1]), n(spec[0]), x(*this,n*n,1,n*n) {
// Number of fields on square
const int nn = n*n;
// Sum of all a row, column, or diagonal
const int s = nn*(nn+1) / (2*n);
// Matrix-wrapper for the square
Matrix<IntVarArray> m(x, n, n);
for (int i=0; i<n_filled; i++) {
int row, col, num;
{
int idx = 3 * i + 2;
row = spec[idx] - 1;
col = spec[idx + 1] - 1;
num = spec[idx + 2];
}
rel(*this, m(col,row), IRT_EQ, num);
}
for (int i = n; i--; ) {
linear(*this, m.row(i), IRT_EQ, s, opt.ipl());
linear(*this, m.col(i), IRT_EQ, s, opt.ipl());
}
// Both diagonals must have sum s
{
IntVarArgs d1y(n);
IntVarArgs d2y(n);
for (int i = n; i--; ) {
d1y[i] = m(i,i);
d2y[i] = m(n-i-1,i);
}
linear(*this, d1y, IRT_EQ, s, opt.ipl());
linear(*this, d2y, IRT_EQ, s, opt.ipl());
}
// All fields must be distinct
distinct(*this, x, opt.ipl());
switch (opt.branching()) {
case BRANCH_CBS_MAX_SD:
#ifdef GECODE_HAS_CBS
cbsbranch(*this, x);
#endif
case BRANCH_SIZE:
branch(*this, x, INT_VAR_SIZE_MIN(), INT_VAL_SPLIT_MIN());
break;
case BRANCH_AFC_SIZE:
branch(*this, x, INT_VAR_AFC_SIZE_MAX(opt.decay()), INT_VAL_SPLIT_MIN());
break;
}
}
/// Constructor for cloning \a s
MagicSquare(MagicSquare& s)
: Script(s), spec(s.spec), n_filled(s.n_filled), n(s.n) {
x.update(*this, s.x);
}
/// Copy during cloning
virtual Space*
copy(void) {
return new MagicSquare(*this);
}
/// Print solution
virtual void
print(std::ostream& os) const {
// Matrix-wrapper for the square
Matrix<IntVarArray> m(x, n, n);
for (int i = 0; i<n; i++) {
os << "\t";
for (int j = 0; j<n; j++) {
os.width(2);
os << m(i,j) << " ";
}
os << std::endl;
}
}
};
/** \brief Main-function
* \relates MagicSquare
*/
int
main(int argc, char* argv[]) {
SizeOptions opt("MagicSquare");
opt.iterations(1);
opt.size(0);
opt.branching(MagicSquare::BRANCH_SIZE);
opt.branching(MagicSquare::BRANCH_SIZE, "size");
opt.branching(MagicSquare::BRANCH_AFC_SIZE, "afc-size");
#ifdef GECODE_HAS_CBS
opt.branching(MagicSquare::BRANCH_CBS_MAX_SD, "maxSD");
#endif
opt.parse(argc,argv);
Script::run<MagicSquare,DFS,SizeOptions>(opt);
return 0;
}
namespace {
/** \name Magic-square specifications
*
* A specification is given by a list of integers. The first two integers (n
* and n_filled) specify the dimension of the magic square and the number of
* pre-filled square respectively. Then n_filled triplets <i, j, v> of
* integers follows, with i and j representing the row and the column of the
* value v.
*
* \relates Magic-square
*/
//@{
const int magicSquare5_filled10_10[] = {
5,10,
1,2,18,
1,3,9,
1,5,2,
2,2,5,
3,1,1,
3,5,24,
4,2,21,
4,3,6,
5,2,13,
5,4,10,
};
const int magicSquare5_filled10_11[] = {
5,10,
1,3,6,
1,5,2,
2,2,8,
2,5,25,
3,1,1,
3,4,17,
3,5,24,
4,1,9,
4,2,21,
5,3,16,
};
const int magicSquare5_filled10_12[] = {
5,10,
1,2,5,
1,4,21,
2,1,10,
2,2,16,
2,3,8,
3,4,12,
4,2,20,
4,5,11,
5,1,18,
5,5,3,
};
const int magicSquare5_filled10_13[] = {
5,10,
1,5,2,
1,2,16,
2,3,8,
3,3,21,
3,1,1,
4,1,12,
5,2,6,
5,1,20,
5,3,14,
5,5,3,
};
const int magicSquare5_filled10_14[] = {
5,10,
1,3,14,
1,2,7,
2,3,12,
2,4,4,
3,3,21,
3,5,24,
4,5,11,
4,4,6,
4,3,13,
5,4,22,
};
const int magicSquare5_filled10_15[] = {
5,10,
1,5,2,
1,1,21,
2,1,15,
2,2,5,
4,2,18,
4,5,11,
5,4,20,
5,5,3,
5,2,12,
5,3,8,
};
const int magicSquare5_filled10_16[] = {
5,10,
1,1,22,
1,5,2,
1,4,18,
2,5,25,
2,4,7,
3,4,15,
3,1,1,
3,2,9,
4,4,4,
5,1,23,
};
const int magicSquare5_filled10_17[] = {
5,10,
1,2,5,
2,4,4,
2,5,25,
3,4,16,
3,5,24,
3,3,14,
3,1,1,
4,2,22,
5,3,13,
5,4,7,
};
const int magicSquare5_filled10_18[] = {
5,10,
1,3,7,
1,4,22,
2,5,25,
2,4,4,
2,1,10,
3,1,1,
4,4,6,
4,3,20,
5,3,8,
5,2,12,
};
const int magicSquare5_filled10_19[] = {
5,10,
1,2,6,
1,5,2,
2,2,18,
2,1,13,
3,5,24,
3,3,17,
5,2,7,
5,1,22,
5,4,21,
5,3,12,
};
const int magicSquare5_filled10_1[] = {
5,10,
1,4,16,
1,5,2,
1,3,20,
2,5,25,
2,4,4,
3,5,24,
3,1,1,
4,4,9,
5,2,12,
5,1,23,
};
const int magicSquare5_filled10_20[] = {
5,10,
1,1,22,
2,5,25,
2,2,5,
3,5,24,
3,1,1,
4,4,19,
4,5,11,
5,1,23,
5,2,8,
5,3,10,
};
const int magicSquare5_filled10_2[] = {
5,10,
1,2,19,
1,4,9,
2,5,25,
2,1,15,
3,2,6,
4,2,20,
4,1,5,
5,5,3,
5,3,10,
5,1,23,
};
const int magicSquare5_filled10_3[] = {
5,10,
1,1,15,
1,5,2,
2,1,20,
2,3,7,
3,4,5,
4,1,6,
4,4,16,
5,1,23,
5,2,12,
5,3,8,
};
const int magicSquare5_filled10_4[] = {
5,10,
1,2,15,
1,5,2,
1,1,22,
1,4,16,
2,5,25,
3,5,24,
3,1,1,
4,1,23,
4,2,18,
4,3,9,
};
const int magicSquare5_filled10_5[] = {
5,10,
1,1,14,
1,4,21,
2,2,12,
2,5,25,
3,2,5,
3,3,19,
3,5,24,
4,2,18,
5,1,22,
5,2,10,
};
const int magicSquare5_filled10_6[] = {
5,10,
1,1,19,
1,2,20,
2,1,7,
3,3,23,
4,5,11,
4,4,4,
5,3,13,
5,5,3,
5,4,22,
5,2,10,
};
const int magicSquare5_filled10_7[] = {
5,10,
1,2,10,
2,4,4,
3,5,24,
3,4,17,
4,5,11,
4,2,23,
4,4,5,
4,1,14,
5,2,6,
5,5,3,
};
const int magicSquare5_filled10_8[] = {
5,10,
1,1,22,
1,3,5,
2,5,25,
2,4,4,
3,5,24,
3,2,8,
4,1,10,
4,2,21,
4,3,16,
4,5,11,
};
const int magicSquare5_filled10_9[] = {
5,10,
1,5,2,
2,2,10,
2,5,25,
3,3,23,
3,1,1,
4,2,15,
4,4,13,
4,3,6,
5,5,3,
5,3,5,
};
const int magicSquare5_filled11_3_1[] = {
5,11,
1,1,15,
1,5,2,
2,1,20,
2,3,7,
3,2,13,
3,4,5,
4,1,6,
4,4,16,
5,1,23,
5,2,12,
5,3,8,
};
const int magicSquare5_filled11_5_1[] = {
5,11,
1,1,14,
1,4,21,
2,2,12,
2,5,25,
3,2,5,
3,3,19,
3,4,16,
3,5,24,
4,2,18,
5,1,22,
5,2,10,
};
const int magicSquare5_filled11_5_2[] = {
5,11,
1,1,14,
1,4,21,
2,2,12,
2,5,25,
3,2,5,
3,3,19,
3,5,24,
4,2,18,
5,1,22,
5,2,10,
5,5,3,
};
const int magicSquare5_filled11_5_3[] = {
5,11,
1,1,14,
1,3,8,
1,4,21,
2,2,12,
2,5,25,
3,2,5,
3,3,19,
3,5,24,
4,2,18,
5,1,22,
5,2,10,
};
const int magicSquare5_filled12_10_1[] = {
5,12,
1,2,18,
1,3,9,
1,5,2,
2,2,5,
3,1,1,
3,3,15,
3,5,24,
4,1,7,
4,2,21,
4,3,6,
5,2,13,
5,4,10,
};
const int magicSquare5_filled12_1_1[] = {
5,12,
1,1,21,
1,3,20,
1,4,16,
1,5,2,
2,5,25,
2,4,4,
3,1,1,
3,3,14,
3,5,24,
4,4,9,
5,2,12,
5,1,23,
};
const int magicSquare5_filled12_1_2[] = {
5,12,
1,3,20,
1,4,16,
1,5,2,
2,2,18,
2,4,4,
2,5,25,
3,1,1,
3,3,14,
3,5,24,
4,4,9,
5,2,12,
5,1,23,
};
const int magicSquare5_filled12_1_3[] = {
5,12,
1,3,20,
1,4,16,
1,5,2,
2,2,18,
2,4,4,
2,5,25,
3,1,1,
3,5,24,
4,4,9,
5,1,23,
5,2,12,
5,3,10,
};
const int magicSquare5_filled12_2_1[] = {
5,12,
1,1,21,
1,2,19,
1,4,9,
2,1,15,
2,5,25,
3,2,6,
3,4,18,
4,1,5,
4,2,20,
5,1,23,
5,3,10,
5,5,3,
};
const int magicSquare5_filled12_2_2[] = {
5,12,
1,2,19,
1,4,9,
2,1,15,
2,3,8,
2,5,25,
3,2,6,
3,4,18,
4,1,5,
4,2,20,
5,1,23,
5,3,10,
5,5,3,
};
const int magicSquare5_filled12_2_3[] = {
5,12,
1,1,21,
1,2,19,
1,4,9,
2,1,15,
2,5,25,
3,2,6,
4,1,5,
4,2,20,
4,4,12,
5,1,23,
5,3,10,
5,5,3,
};
const int magicSquare5_filled12_3_1[] = {
5,12,
1,1,15,
1,4,21,
1,5,2,
2,1,20,
2,3,7,
3,4,5,
4,1,6,
4,4,16,
5,1,23,
5,2,12,
5,3,8,
5,5,3,
};
const int magicSquare5_filled12_3_2[] = {
5,12,
1,1,15,
1,2,17,
1,3,10,
1,5,2,
2,1,20,
2,3,7,
3,4,5,
4,1,6,
4,4,16,
5,1,23,
5,2,12,
5,3,8,
};
const int magicSquare9_filled10_10[] = {
9,10,
8,2,19,
6,7,25,
7,3,15,
8,4,77,
7,1,29,
4,9,63,
4,6,53,
7,1,29,
3,9,36,
5,4,74,
};
const int magicSquare9_filled10_11[] = {
9,10,
5,5,78,
6,5,56,
9,8,30,
3,3,38,
2,3,9,
1,2,23,
3,5,80,
9,7,52,
7,5,1,
1,1,32,
};
const int magicSquare9_filled10_12[] = {
9,10,
6,7,25,
1,4,2,
5,1,54,
3,3,38,
7,2,71,
1,5,28,
3,2,50,
2,7,59,
7,7,42,
5,4,74,
};
const int magicSquare9_filled10_13[] = {
9,10,
7,2,71,
8,9,22,
2,2,17,
3,3,38,
1,8,72,
6,5,56,
5,6,41,
9,1,8,
7,8,37,
3,3,38,
};
const int magicSquare9_filled10_14[] = {
9,10,
9,4,35,
1,3,48,
9,6,69,
7,6,70,
6,1,46,
5,1,54,
4,2,62,
2,8,67,
7,6,70,
7,3,15,
};
const int magicSquare9_filled10_15[] = {
9,10,
9,8,30,
1,6,4,
9,9,45,
9,2,49,
5,6,41,
6,5,56,
5,9,7,
2,6,3,
3,2,50,
1,2,23,
};
const int magicSquare9_filled10_16[] = {
9,10,
1,9,81,
3,8,18,
8,4,77,
6,5,56,
7,9,31,
1,9,81,
7,3,15,
6,4,5,
6,8,61,
4,6,53,
};
const int magicSquare9_filled10_17[] = {
9,10,
4,4,12,
9,5,26,
7,6,70,
8,2,19,
7,2,71,
8,1,68,
8,2,19,
5,5,78,
6,3,21,
5,3,75,
};
const int magicSquare9_filled10_18[] = {
9,10,
7,2,71,
4,1,47,
6,9,24,
8,8,39,
3,9,36,
2,9,60,
4,3,64,
5,8,11,
4,2,62,
3,7,43,
};
const int magicSquare9_filled10_19[] = {
9,10,
7,4,73,
8,3,44,
8,1,68,
1,2,23,
1,6,4,
5,7,16,
3,6,6,
8,2,19,
4,5,14,
3,3,38,
};
const int magicSquare9_filled10_1[] = {
9,10,
4,5,14,
6,7,25,
8,8,39,
6,7,25,
3,8,18,
4,4,12,
8,2,19,
4,1,47,
4,6,53,
8,5,10,
};
const int magicSquare9_filled10_20[] = {
9,10,
1,4,2,
8,6,57,
1,5,28,
1,8,72,
6,1,46,
4,1,47,
8,7,33,
4,6,53,
1,5,28,
5,8,11,
};
const int magicSquare9_filled10_2[] = {
9,10,
2,5,76,
9,1,8,
2,4,51,
1,2,23,
9,7,52,
1,8,72,
3,3,38,
6,6,66,
3,7,43,
7,6,70,
};
const int magicSquare9_filled10_3[] = {
9,10,
5,6,41,
5,3,75,
6,1,46,
3,2,50,
3,8,18,
1,5,28,
3,2,50,
5,9,7,
4,8,34,
1,4,2,
};
const int magicSquare9_filled10_4[] = {
9,10,
4,9,63,
9,4,35,
7,5,1,
2,6,3,
8,4,77,
7,6,70,
5,8,11,
2,5,76,
9,4,35,
3,6,6,
};
const int magicSquare9_filled10_5[] = {
9,10,
2,5,76,
1,4,2,
9,3,55,
1,2,23,
3,3,38,
2,5,76,
3,4,40,
3,4,40,
1,2,23,
3,6,6,
};
const int magicSquare9_filled10_6[] = {
9,10,
7,5,1,
4,7,20,
8,7,33,
5,5,78,
5,2,13,
3,1,58,
1,9,81,
5,1,54,
3,1,58,
7,5,1,
};
const int magicSquare9_filled10_7[] = {
9,10,
7,5,1,
7,5,1,
1,5,28,
4,8,34,
4,1,47,
4,2,62,
2,6,3,
2,8,67,
1,9,81,
5,4,74,
};
const int magicSquare9_filled10_8[] = {
9,10,
9,4,35,
4,9,63,
1,6,4,
5,5,78,
7,5,1,
9,4,35,
5,6,41,
6,3,21,
9,3,55,
3,5,80,
};
const int magicSquare9_filled10_9[] = {
9,10,
4,8,34,
4,1,47,
3,9,36,
8,6,57,
9,2,49,
9,9,45,
1,6,4,
4,6,53,
3,6,6,
2,2,17,
};
const int magicSquare9_filled50_10[] = {
9,50,
4,3,64,
3,9,36,
8,3,44,
6,9,24,
2,7,59,
7,2,71,
8,2,19,
2,8,67,
6,7,25,
6,6,66,
3,8,18,
1,9,81,
8,4,77,
5,4,74,
8,2,19,
6,9,24,
4,9,63,
9,3,55,
2,5,76,
9,2,49,
3,7,43,
3,8,18,
6,3,21,
6,2,65,
9,2,49,
7,9,31,
8,6,57,
8,6,57,
9,3,55,
7,5,1,
2,4,51,
5,4,74,
3,4,40,
4,2,62,
6,3,21,
3,6,6,
7,4,73,
5,4,74,
4,8,34,
3,3,38,
8,1,68,
3,4,40,
6,8,61,
7,3,15,
9,5,26,
7,1,29,
6,9,24,
2,6,3,
3,5,80,
7,9,31,
};
const int magicSquare9_filled50_11[] = {
9,50,
6,8,61,
3,3,38,
9,7,52,
6,3,21,
4,9,63,
3,9,36,
7,3,15,
1,1,32,
2,7,59,
1,8,72,
2,5,76,
8,7,33,
5,1,54,
3,5,80,
3,8,18,
4,8,34,
4,5,14,
2,3,9,
9,5,26,
3,3,38,
2,5,76,
9,8,30,
8,9,22,
6,7,25,
7,6,70,
5,6,41,
2,1,27,
4,4,12,
8,4,77,
8,2,19,
9,1,8,
7,3,15,
5,6,41,
3,4,40,
2,5,76,
5,1,54,
8,4,77,
7,4,73,
2,3,9,
1,8,72,
7,3,15,
4,6,53,
3,5,80,
9,2,49,
7,7,42,
1,6,4,
7,7,42,
7,2,71,
4,7,20,
4,3,64,
};
const int magicSquare9_filled50_12[] = {
9,50,
1,3,48,
3,5,80,
4,5,14,
6,1,46,
8,8,39,
2,8,67,
8,8,39,
9,2,49,
2,2,17,
6,1,46,
9,9,45,
8,9,22,
3,4,40,
2,3,9,
4,6,53,
5,3,75,
6,6,66,
7,1,29,
8,1,68,
1,7,79,
7,9,31,
5,3,75,
6,4,5,
5,7,16,
3,1,58,
5,3,75,
7,4,73,
9,8,30,
5,8,11,
1,7,79,
4,4,12,
9,8,30,
7,4,73,
6,5,56,
4,4,12,
2,8,67,
1,4,2,
2,6,3,
6,4,5,
1,8,72,
2,6,3,
8,9,22,
7,7,42,
5,9,7,
5,5,78,
6,7,25,
6,5,56,
3,3,38,
8,8,39,
8,1,68,
};
const int magicSquare9_filled50_13[] = {
9,50,
2,7,59,
6,2,65,
9,5,26,
6,5,56,
8,6,57,
1,1,32,
9,9,45,
7,6,70,
4,2,62,
4,9,63,
4,9,63,
4,8,34,
3,6,6,
1,1,32,
2,6,3,
8,3,44,
2,3,9,
2,1,27,
7,7,42,
3,6,6,
2,3,9,
4,1,47,
2,1,27,
5,4,74,
9,8,30,
3,1,58,
7,4,73,
6,9,24,
7,5,1,
8,8,39,
1,4,2,
1,9,81,
6,9,24,
7,2,71,
5,9,7,
5,6,41,
1,8,72,
4,2,62,
6,8,61,
3,3,38,
6,5,56,
1,2,23,
6,7,25,
8,3,44,
2,4,51,
1,9,81,
8,8,39,
9,2,49,
6,6,66,
3,1,58,
};
const int magicSquare9_filled50_14[] = {
9,50,
1,4,2,
6,7,25,
3,2,50,
6,6,66,
2,8,67,
5,1,54,
2,6,3,
7,7,42,
6,2,65,
2,8,67,
8,3,44,
2,9,60,
4,5,14,
9,5,26,
4,1,47,
5,2,13,
4,9,63,
6,5,56,
1,9,81,
1,2,23,
8,4,77,
1,9,81,
9,7,52,
5,3,75,
8,6,57,
1,7,79,
8,9,22,
4,9,63,
5,1,54,
3,6,6,
1,7,79,
5,3,75,
6,2,65,
5,6,41,
1,3,48,
6,8,61,
6,6,66,
6,3,21,
3,1,58,
6,8,61,
6,4,5,
5,4,74,
4,7,20,
1,6,4,
7,3,15,
2,6,3,
1,6,4,
6,4,5,
5,1,54,
8,4,77,
};
const int magicSquare9_filled50_15[] = {
9,50,
1,4,2,
2,7,59,
7,5,1,
7,7,42,
5,3,75,
5,1,54,
7,8,37,
2,8,67,
3,3,38,
4,9,63,
3,3,38,
3,1,58,
6,8,61,
5,2,13,
6,1,46,
5,5,78,
4,4,12,
2,8,67,
9,8,30,
5,2,13,
9,7,52,
3,4,40,
5,2,13,
9,7,52,
2,3,9,
5,5,78,
3,5,80,
5,8,11,
2,7,59,
9,7,52,
7,2,71,
9,8,30,
4,1,47,
6,1,46,
7,8,37,
2,4,51,
6,2,65,
5,8,11,
2,4,51,
6,3,21,
6,8,61,
5,8,11,
3,8,18,
4,4,12,
5,4,74,
9,1,8,
3,8,18,
8,4,77,
7,3,15,
4,2,62,
};
const int magicSquare9_filled50_16[] = {
9,50,
1,4,2,
3,6,6,
3,7,43,
5,4,74,
1,8,72,
5,6,41,
4,7,20,
2,6,3,
3,5,80,
8,8,39,
6,5,56,
6,7,25,
3,4,40,
1,7,79,
4,3,64,
8,5,10,
4,8,34,
8,6,57,
5,3,75,
8,5,10,
8,1,68,
8,2,19,
5,9,7,
8,8,39,
3,4,40,
4,6,53,
8,9,22,
3,8,18,
1,2,23,
6,5,56,
4,2,62,
9,7,52,
1,7,79,
1,5,28,
8,8,39,
1,6,4,
6,8,61,
8,2,19,
6,4,5,
9,6,69,
5,3,75,
2,3,9,
2,3,9,
1,9,81,
4,4,12,
4,5,14,
6,3,21,
2,4,51,
8,9,22,
8,6,57,
};
const int magicSquare9_filled50_17[] = {
9,50,
8,6,57,
9,2,49,
3,5,80,
3,6,6,
8,2,19,
9,1,8,
2,1,27,
3,1,58,
1,2,23,
1,2,23,
5,2,13,
6,8,61,
5,5,78,
2,1,27,
5,8,11,
4,1,47,
4,3,64,
2,4,51,
8,3,44,
9,4,35,
2,8,67,
5,4,74,
7,5,1,
2,7,59,
6,2,65,
9,9,45,
4,3,64,
7,6,70,
8,9,22,
4,3,64,
7,7,42,
1,1,32,
7,2,71,
3,3,38,
2,2,17,
5,4,74,
8,7,33,
7,3,15,
2,8,67,
7,6,70,
8,4,77,
5,9,7,
7,2,71,
3,3,38,
1,6,4,
5,5,78,
1,3,48,
4,7,20,
2,6,3,
8,4,77,
};
const int magicSquare9_filled50_18[] = {
9,50,
5,3,75,
7,1,29,
9,4,35,
3,8,18,
9,1,8,
4,5,14,
2,6,3,
2,8,67,
8,4,77,
1,6,4,
7,3,15,
2,5,76,
5,5,78,
3,7,43,
1,8,72,
8,5,10,
1,5,28,
6,7,25,
6,6,66,
5,3,75,
6,7,25,
8,8,39,
3,9,36,
4,1,47,
2,3,9,
7,8,37,
5,6,41,
4,8,34,
1,4,2,
3,8,18,
9,1,8,
3,9,36,
5,6,41,
6,8,61,
3,8,18,
1,6,4,
5,8,11,
2,8,67,
6,4,5,
6,5,56,
6,1,46,
1,8,72,
6,2,65,
6,6,66,
5,6,41,
4,2,62,
6,5,56,
1,8,72,
8,4,77,
4,8,34,
};
const int magicSquare9_filled50_19[] = {
9,50,
1,5,28,
3,5,80,
1,2,23,
1,4,2,
5,7,16,
8,8,39,
5,9,7,
7,2,71,
1,1,32,
5,4,74,
7,9,31,
5,1,54,
2,4,51,
7,9,31,
7,1,29,
6,5,56,
3,8,18,
1,4,2,
9,8,30,
7,3,15,
3,4,40,
1,8,72,
3,5,80,
9,3,55,
6,4,5,
6,1,46,
1,9,81,
1,2,23,
3,5,80,
9,7,52,
4,5,14,
3,6,6,
1,1,32,
7,9,31,
8,3,44,
2,2,17,
6,1,46,
9,6,69,
5,6,41,
8,1,68,
7,3,15,
1,8,72,
9,9,45,
7,2,71,
2,4,51,
8,5,10,
6,1,46,
2,6,3,
1,6,4,
4,7,20,
};
const int magicSquare9_filled50_1[] = {
9,50,
7,1,29,
2,9,60,
2,4,51,
1,8,72,
8,5,10,
4,6,53,
3,4,40,
6,2,65,
8,2,19,
3,6,6,
6,2,65,
2,8,67,
2,5,76,
8,9,22,
6,2,65,
6,1,46,
2,8,67,
1,4,2,
9,8,30,
2,5,76,
3,3,38,
1,3,48,
4,6,53,
5,1,54,
7,5,1,
6,1,46,
4,6,53,
6,5,56,
1,5,28,
3,6,6,
4,8,34,
7,6,70,
4,5,14,
7,3,15,
1,6,4,
8,2,19,
7,6,70,
4,8,34,
3,8,18,
8,7,33,
1,5,28,
6,5,56,
8,2,19,
9,8,30,
4,2,62,
3,8,18,
8,7,33,
4,2,62,
9,8,30,
5,9,7,
};
const int magicSquare9_filled50_20[] = {
9,50,
8,3,44,
8,2,19,
3,5,80,
7,8,37,
8,4,77,
6,5,56,
4,5,14,
1,3,48,
2,6,3,
4,3,64,
9,9,45,
6,6,66,
8,5,10,
2,6,3,
1,5,28,
3,7,43,
8,8,39,
8,8,39,
1,4,2,
4,8,34,
5,8,11,
2,8,67,
1,2,23,
1,2,23,
7,2,71,
2,7,59,
1,7,79,
1,6,4,
2,9,60,
3,1,58,
3,3,38,
7,8,37,
9,3,55,
6,9,24,
4,1,47,
8,8,39,
6,9,24,
6,6,66,
8,4,77,
5,6,41,
5,6,41,
1,4,2,
2,8,67,
9,1,8,
7,9,31,
1,9,81,
3,7,43,
7,2,71,
8,2,19,
8,2,19,
};
const int magicSquare9_filled50_2[] = {
9,50,
2,1,27,
8,8,39,
6,3,21,
7,6,70,
8,5,10,
2,9,60,
7,7,42,
4,5,14,
8,1,68,
2,3,9,
3,2,50,
8,1,68,
8,9,22,
9,5,26,
7,2,71,
2,8,67,
2,1,27,
5,6,41,
3,2,50,
9,8,30,
4,1,47,
7,9,31,
7,1,29,
4,4,12,
2,3,9,
4,2,62,
4,9,63,
9,9,45,
8,8,39,
2,5,76,
1,4,2,
1,9,81,
4,5,14,
3,4,40,
4,3,64,
2,8,67,
1,9,81,
7,8,37,
7,8,37,
9,6,69,
9,1,8,
5,1,54,
9,2,49,
1,7,79,
1,9,81,
9,8,30,
3,7,43,
5,4,74,
3,8,18,
7,4,73,
};
const int magicSquare9_filled50_3[] = {
9,50,
8,7,33,
9,8,30,
4,4,12,
4,1,47,
3,3,38,
5,9,7,
1,9,81,
9,7,52,
9,7,52,
2,7,59,
7,1,29,
5,9,7,
8,7,33,
2,8,67,
3,6,6,
2,1,27,
3,9,36,
9,6,69,
3,3,38,
5,3,75,
4,9,63,
2,4,51,
6,2,65,
2,5,76,
8,1,68,
9,5,26,
2,2,17,
3,7,43,
9,2,49,
3,2,50,
7,2,71,
3,1,58,
1,2,23,
6,4,5,
4,1,47,
6,5,56,
7,8,37,
9,2,49,
9,8,30,
4,5,14,
8,4,77,
8,7,33,
5,8,11,
2,4,51,
9,4,35,
4,6,53,
4,6,53,
6,4,5,
5,1,54,
7,6,70,
};
const int magicSquare9_filled50_4[] = {
9,50,
8,2,19,
2,6,3,
9,8,30,
5,6,41,
4,8,34,
8,9,22,
9,6,69,
5,5,78,
4,6,53,
6,3,21,
8,7,33,
7,2,71,
1,3,48,
3,5,80,
1,8,72,
9,9,45,
9,8,30,
3,6,6,
6,7,25,
9,7,52,
3,5,80,
6,3,21,
2,1,27,
5,3,75,
5,8,11,
4,1,47,
6,1,46,
9,6,69,
1,2,23,
9,2,49,
7,8,37,
1,4,2,
4,3,64,
7,7,42,
7,6,70,
4,9,63,
2,9,60,
9,1,8,
8,4,77,
1,1,32,
3,4,40,
1,6,4,
2,9,60,
2,3,9,
8,8,39,
2,4,51,
4,2,62,
7,7,42,
2,5,76,
4,8,34,
};
const int magicSquare9_filled50_5[] = {
9,50,
8,7,33,
7,7,42,
5,7,16,
5,1,54,
8,6,57,
1,1,32,
9,8,30,
4,2,62,
5,6,41,
2,1,27,
2,3,9,
4,6,53,
2,9,60,
3,3,38,
4,5,14,
1,9,81,
9,5,26,
7,2,71,
9,2,49,
2,8,67,
7,9,31,
6,5,56,
5,1,54,
4,7,20,
4,5,14,
8,5,10,
5,9,7,
1,6,4,
8,2,19,
8,9,22,
6,6,66,
9,3,55,
1,6,4,
5,1,54,
5,6,41,
8,3,44,
4,2,62,
7,8,37,
2,8,67,
4,5,14,
3,2,50,
1,7,79,
1,8,72,
3,7,43,
9,8,30,
6,3,21,
4,5,14,
6,2,65,
1,1,32,
2,6,3,
};
const int magicSquare9_filled50_6[] = {
9,50,
4,7,20,
6,7,25,
9,1,8,
4,1,47,
8,7,33,
4,8,34,
6,4,5,
5,4,74,
9,5,26,
1,9,81,
1,7,79,
9,4,35,
2,5,76,
5,1,54,
3,5,80,
4,7,20,
9,7,52,
2,8,67,
7,3,15,
7,3,15,
7,1,29,
1,1,32,
2,3,9,
5,1,54,
5,5,78,
7,5,1,
9,5,26,
6,2,65,
7,8,37,
9,1,8,
1,1,32,
5,1,54,
7,4,73,
8,2,19,
5,3,75,
4,2,62,
1,2,23,
3,2,50,
2,5,76,
1,6,4,
9,5,26,
8,9,22,
9,2,49,
8,5,10,
9,5,26,
5,1,54,
5,7,16,
8,2,19,
1,4,2,
3,3,38,
};
const int magicSquare9_filled50_7[] = {
9,50,
6,3,21,
7,6,70,
3,4,40,
5,2,13,
6,6,66,
7,8,37,
8,6,57,
8,1,68,
2,9,60,
4,8,34,
7,3,15,
2,3,9,
4,3,64,
2,2,17,
7,2,71,
3,3,38,
4,9,63,
8,4,77,
2,4,51,
3,5,80,
7,1,29,
3,5,80,
6,1,46,
4,7,20,
1,5,28,
3,5,80,
8,4,77,
7,2,71,
6,8,61,
3,3,38,
8,4,77,
3,9,36,
1,2,23,
4,2,62,
3,6,6,
4,7,20,
4,7,20,
9,9,45,
5,1,54,
4,3,64,
6,6,66,
8,2,19,
8,5,10,
3,2,50,
2,4,51,
3,7,43,
5,5,78,
4,5,14,
4,7,20,
5,4,74,
};
const int magicSquare9_filled50_8[] = {
9,50,
2,8,67,
1,3,48,
5,8,11,
3,8,18,
8,6,57,
1,2,23,
1,8,72,
3,8,18,
2,4,51,
7,1,29,
5,9,7,
5,9,7,
5,8,11,
4,6,53,
4,8,34,
1,3,48,
5,8,11,
5,7,16,
6,5,56,
5,3,75,
9,4,35,
4,9,63,
9,5,26,
5,8,11,
8,2,19,
6,3,21,
9,1,8,
2,4,51,
7,3,15,
9,1,8,
9,7,52,
1,2,23,
6,5,56,
8,2,19,
8,2,19,
2,7,59,
5,6,41,
6,4,5,
8,8,39,
3,6,6,
7,8,37,
6,6,66,
7,5,1,
7,2,71,
5,5,78,
2,2,17,
2,9,60,
3,7,43,
2,2,17,
7,9,31,
};
const int magicSquare9_filled50_9[] = {
9,50,
3,8,18,
6,7,25,
2,9,60,
8,9,22,
7,8,37,
3,3,38,
5,6,41,
8,2,19,
8,4,77,
3,4,40,
8,2,19,
5,9,7,
8,8,39,
5,9,7,
7,9,31,
9,9,45,
5,5,78,
4,7,20,
3,9,36,
4,9,63,
8,5,10,
9,3,55,
8,6,57,
2,7,59,
9,2,49,
1,7,79,
1,3,48,
4,8,34,
8,6,57,
7,5,1,
5,6,41,
2,1,27,
9,3,55,
5,2,13,
3,6,6,
8,1,68,
8,8,39,
1,7,79,
2,2,17,
4,1,47,
1,2,23,
5,1,54,
2,6,3,
8,1,68,
3,5,80,
3,5,80,
9,3,55,
3,8,18,
5,7,16,
7,5,1,
};
const int *specs[] = {
magicSquare5_filled10_1, //0
magicSquare5_filled10_2, //1
magicSquare5_filled10_3, //2
magicSquare5_filled10_4, //3
magicSquare5_filled10_5, //4
magicSquare5_filled10_6, //5
magicSquare5_filled10_7, //6
magicSquare5_filled10_8, //7
magicSquare5_filled10_9, //8
magicSquare5_filled10_10, //9
magicSquare5_filled10_11, //10
magicSquare5_filled10_12, //11
magicSquare5_filled10_13, //12
magicSquare5_filled10_14, //13
magicSquare5_filled10_15, //14
magicSquare5_filled10_16, //15
magicSquare5_filled10_17, //16
magicSquare5_filled10_18, //17
magicSquare5_filled10_19, //18
magicSquare5_filled10_20, //19
magicSquare5_filled11_3_1, //20
magicSquare5_filled11_5_1, //21
magicSquare5_filled11_5_2, //22
magicSquare5_filled11_5_3, //23
magicSquare5_filled12_10_1, //24
magicSquare5_filled12_1_1, //25
magicSquare5_filled12_1_2, //26
magicSquare5_filled12_1_3, //27
magicSquare5_filled12_2_1, //28
magicSquare5_filled12_2_2, //29
magicSquare5_filled12_2_3, //30
magicSquare5_filled12_3_1, //31
magicSquare5_filled12_3_2, //32
magicSquare9_filled10_1, //33
magicSquare9_filled10_2, //34
magicSquare9_filled10_3, //35
magicSquare9_filled10_4, //36
magicSquare9_filled10_5, //37
magicSquare9_filled10_6, //38
magicSquare9_filled10_7, //39
magicSquare9_filled10_8, //40
magicSquare9_filled10_9, //41
magicSquare9_filled10_10, //42
magicSquare9_filled10_11, //43
magicSquare9_filled10_12, //44
magicSquare9_filled10_13, //45
magicSquare9_filled10_14, //46
magicSquare9_filled10_15, //47
magicSquare9_filled10_16, //48
magicSquare9_filled10_17, //49
magicSquare9_filled10_18, //50
magicSquare9_filled10_19, //51
magicSquare9_filled10_20, //52
magicSquare9_filled50_1, //53
magicSquare9_filled50_2, //54
magicSquare9_filled50_3, //55
magicSquare9_filled50_4, //56
magicSquare9_filled50_5, //57
magicSquare9_filled50_6, //58
magicSquare9_filled50_7, //59
magicSquare9_filled50_8, //60
magicSquare9_filled50_9, //61
magicSquare9_filled50_10, //62
magicSquare9_filled50_11, //63
magicSquare9_filled50_12, //64
magicSquare9_filled50_13, //65
magicSquare9_filled50_14, //66
magicSquare9_filled50_15, //67
magicSquare9_filled50_16, //68
magicSquare9_filled50_17, //69
magicSquare9_filled50_18, //70
magicSquare9_filled50_19, //71
magicSquare9_filled50_20 //72
};
const unsigned n_examples = sizeof(specs)/sizeof(int*);
//@}
}
// STATISTICS: example-any
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