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35 lines
1.1 KiB
Python
35 lines
1.1 KiB
Python
#!/usr/bin/python
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#
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# Assign equal values to equal letters, and different values to
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# different letters, in a way that satisfies the following sum:
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#
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# SEND
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# + MORE
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# ------
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# MONEY
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#
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from constraint import *
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def main():
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problem = Problem()
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problem.addVariables("sendmory", range(10))
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problem.addConstraint(lambda d, e, y: (d+e)%10 == y, "dey")
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problem.addConstraint(lambda n, d, r, e, y: (n*10+d+r*10+e)%100 == e*10+y,
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"ndrey")
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problem.addConstraint(lambda e, n, d, o, r, y:
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(e*100+n*10+d+o*100+r*10+e)%1000 == n*100+e*10+y,
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"endory")
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problem.addConstraint(lambda s, e, n, d, m, o, r, y:
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1000*s+100*e+10*n+d + 1000*m+100*o+10*r+e ==
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10000*m+1000*o+100*n+10*e+y, "sendmory")
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problem.addConstraint(NotInSetConstraint([0]), "sm")
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problem.addConstraint(AllDifferentConstraint())
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print "SEND+MORE=MONEY"
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for s in problem.getSolutions():
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print "%(s)d%(e)d%(n)d%(d)d+" \
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"%(m)d%(o)d%(r)d%(e)d=" \
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"%(m)d%(o)d%(n)d%(e)d%(y)d" % s
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if __name__ == "__main__":
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main()
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