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money.cpp
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1/* -*- mode: C++; c-basic-offset: 2; indent-tabs-mode: nil -*- */
2/*
3 * Main authors:
4 * Christian Schulte <schulte@gecode.org>
5 *
6 * Copyright:
7 * Christian Schulte, 2001
8 *
9 * This file is part of Gecode, the generic constraint
10 * development environment:
11 * http://www.gecode.org
12 *
13 * Permission is hereby granted, free of charge, to any person obtaining
14 * a copy of this software and associated documentation files (the
15 * "Software"), to deal in the Software without restriction, including
16 * without limitation the rights to use, copy, modify, merge, publish,
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18 * permit persons to whom the Software is furnished to do so, subject to
19 * the following conditions:
20 *
21 * The above copyright notice and this permission notice shall be
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31 *
32 */
33
34#include <gecode/driver.hh>
35#include <gecode/int.hh>
36#include <gecode/minimodel.hh>
37
38using namespace Gecode;
39
49class Money : public Script {
50protected:
52 static const int nl = 8;
55public:
57 enum {
60 };
62 Money(const Options& opt) : Script(opt), le(*this,nl,0,9) {
63 IntVar
64 s(le[0]), e(le[1]), n(le[2]), d(le[3]),
65 m(le[4]), o(le[5]), r(le[6]), y(le[7]);
66
67 if (opt.trace()) {
68 trace(*this, le, opt.trace());
69 trace(*this, opt.trace());
70 }
71
72 rel(*this, s, IRT_NQ, 0);
73 rel(*this, m, IRT_NQ, 0);
74
75 distinct(*this, le, opt.ipl());
76
77 switch (opt.model()) {
78 case MODEL_SINGLE:
79 rel(*this, 1000*s+100*e+10*n+d
80 + 1000*m+100*o+10*r+e
81 == 10000*m+1000*o+100*n+10*e+y,
82 opt.ipl());
83 break;
84 case MODEL_CARRY:
85 {
86 IntVar c0(*this,0,1), c1(*this,0,1), c2(*this,0,1), c3(*this,0,1);
87 rel(*this, d+e == y+10*c0, opt.ipl());
88 rel(*this, c0+n+r == e+10*c1, opt.ipl());
89 rel(*this, c1+e+o == n+10*c2, opt.ipl());
90 rel(*this, c2+s+m == o+10*c3, opt.ipl());
91 rel(*this, c3 == m, opt.ipl());
92 }
93 break;
94 default: GECODE_NEVER;
95 }
96
97 branch(*this, le, INT_VAR_SIZE_MIN(), INT_VAL_MIN(), nullptr,
98 [](const Space&, const Brancher&, unsigned int a,
99 IntVar, int i, const int& n,
100 std::ostream& o) {
101 static char name[8] = {'s','e','n','d',
102 'm','o','r','y'};
103 o << name[i]
104 << ((a == 0) ? " = " : " != ")
105 << n;
106 });
107 }
109 virtual void
110 print(std::ostream& os) const {
111 os << "\t" << le << std::endl;
112 }
113
115 Money(Money& s) : Script(s) {
116 le.update(*this, s.le);
117 }
119 virtual Space*
120 copy(void) {
121 return new Money(*this);
122 }
123};
124
128int
129main(int argc, char* argv[]) {
130 Options opt("SEND+MORE=MONEY");
131 opt.model(Money::MODEL_SINGLE);
132 opt.model(Money::MODEL_SINGLE, "single", "use single linear equation");
133 opt.model(Money::MODEL_CARRY, "carry", "use carry");
134 opt.solutions(0);
135 opt.iterations(20000);
136 opt.parse(argc,argv);
138 return 0;
139}
140
141// STATISTICS: example-any
142
int n
Number of negative literals for node type.
struct Gecode::@603::NNF::@65::@67 a
For atomic nodes.
Base-class for branchers.
Definition core.hpp:1442
Parametric base-class for scripts.
Definition driver.hh:729
static void run(const Options &opt, Script *s=NULL)
Definition script.hpp:290
Integer variable array.
Definition int.hh:763
Integer variables.
Definition int.hh:371
Options for scripts
Definition driver.hh:366
Computation spaces.
Definition core.hpp:1742
void update(Space &home, VarArray< Var > &a)
Update array to be a clone of array a.
Definition array.hpp:1013
Example: SEND+MORE=MONEY puzzle
Definition money.cpp:49
int main(int argc, char *argv[])
Main-function.
Definition money.cpp:129
IntVarArray le
Array of letters.
Definition money.cpp:54
static const int nl
Number of letters.
Definition money.cpp:52
virtual Space * copy(void)
Copy during cloning.
Definition money.cpp:120
Money(Money &s)
Constructor for cloning s.
Definition money.cpp:115
@ MODEL_CARRY
Use carries.
Definition money.cpp:59
@ MODEL_SINGLE
Use single linear equation.
Definition money.cpp:58
Money(const Options &opt)
Actual model.
Definition money.cpp:62
virtual void print(std::ostream &os) const
Print solution.
Definition money.cpp:110
void parse(int argc, char *argv[])
Parse commandline arguments.
Definition test.cpp:120
GECODE_FLOAT_EXPORT void trace(Home home, const FloatVarArgs &x, TraceFilter tf, int te=(TE_INIT|TE_PRUNE|TE_FIX|TE_FAIL|TE_DONE), FloatTracer &t=StdFloatTracer::def)
Create a tracer for float variables.
Definition trace.cpp:39
void branch(Home home, const FloatVarArgs &x, FloatVarBranch vars, FloatValBranch vals, FloatBranchFilter bf=nullptr, FloatVarValPrint vvp=nullptr)
Branch over x with variable selection vars and value selection vals.
Definition branch.cpp:39
void rel(Home home, FloatVar x0, FloatRelType frt, FloatVar x1)
Post propagator for .
Definition rel.cpp:68
@ IRT_NQ
Disequality ( )
Definition int.hh:927
Gecode toplevel namespace
Post propagator for SetVar SetOpType SetVar SetRelType r
Definition set.hh:767
void distinct(Home home, const IntVarArgs &x, IntPropLevel ipl=IPL_DEF)
Post propagator for for all .
Definition distinct.cpp:46
Post propagator for SetVar SetOpType SetVar y
Definition set.hh:767
IntValBranch INT_VAL_MIN(void)
Select smallest value.
Definition val.hpp:55
IntVarBranch INT_VAR_SIZE_MIN(BranchTbl tbl=nullptr)
Select variable with smallest domain size.
Definition var.hpp:206
#define GECODE_NEVER
Assert that this command is never executed.
Definition macros.hpp:56