44 lines
1.5 KiB
Python
44 lines
1.5 KiB
Python
# Copyright 2010 Pierre Schaus (pschaus@gmail.com)
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# Licensed under the Apache License, Version 2.0 (the 'License');
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# you may not use this file except in compliance with the License.
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# You may obtain a copy of the License at
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#
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# http://www.apache.org/licenses/LICENSE-2.0
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#
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# Unless required by applicable law or agreed to in writing, software
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# distributed under the License is distributed on an 'AS IS' BASIS,
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# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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# See the License for the specific language governing permissions and
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# limitations under the License.
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from constraint_solver import pywrapcp
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def dudeney(n):
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solver = pywrapcp.Solver('Dudeney')
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x = [solver.IntVar(range(10), 'x' + str(i)) for i in range(n)]
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nb = solver.IntVar(range(3, 10 ** n), 'nb')
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s = solver.IntVar(range(1, 9 * n + 1), 's')
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solver.Add(nb == s * s * s)
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solver.Add(sum([10 ** (n - i - 1) * x[i] for i in range(n)]) == nb)
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solver.Add(sum([x[i] for i in range(n)]) == s)
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solution = solver.Assignment()
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solution.Add(nb)
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collector = solver.AllSolutionCollector(solution)
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solver.Solve(solver.Phase(x,
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solver.INT_VAR_DEFAULT,
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solver.INT_VALUE_DEFAULT),
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[collector])
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for i in range(collector.SolutionCount()):
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nbsol = collector.Value(i, nb)
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print nbsol
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print '#fails:', solver.Failures()
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print 'time:', solver.WallTime(), 'ms'
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if __name__ == '__main__':
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dudeney(6)
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