62 lines
1.8 KiB
Python
62 lines
1.8 KiB
Python
# Copyright 2010-2017 Google
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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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"""Send + more = money.
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In this model, we try to solve the following cryptarythm
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SEND + MORE = MONEY
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Each letter corresponds to one figure and all letters have different values.
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"""
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from __future__ import print_function
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from ortools.constraint_solver import pywrapcp
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def main():
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# Create the solver.
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solver = pywrapcp.Solver('SEND + MORE = MONEY')
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digits = list(range(0, 10))
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s = solver.IntVar(digits, 's')
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e = solver.IntVar(digits, 'e')
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n = solver.IntVar(digits, 'n')
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d = solver.IntVar(digits, 'd')
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m = solver.IntVar(digits, 'm')
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o = solver.IntVar(digits, 'o')
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r = solver.IntVar(digits, 'r')
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y = solver.IntVar(digits, 'y')
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letters = [s, e, n, d, m, o, r, y]
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solver.Add(
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1000 * s + 100 * e + 10 * n + d +
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1000 * m + 100 * o + 10 * r + e ==
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10000 * m + 1000 * o + 100 * n + 10 * e + y)
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# pylint: disable=g-explicit-bool-comparison
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solver.Add(s != 0)
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solver.Add(m != 0)
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solver.Add(solver.AllDifferent(letters))
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solver.NewSearch(solver.Phase(letters,
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solver.INT_VAR_DEFAULT,
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solver.INT_VALUE_DEFAULT))
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solver.NextSolution()
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print(letters)
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solver.EndSearch()
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if __name__ == '__main__':
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main()
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