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package samples.integer;
import org.kohsuke.args4j.Option;
import org.slf4j.LoggerFactory;
import samples.AbstractProblem;
import solver.Solver;
import solver.constraints.Constraint;
import solver.constraints.IntConstraintFactory;
import solver.search.strategy.IntStrategyFactory;
import solver.variables.IntVar;
import solver.variables.VariableFactory;
import util.tools.StringUtils;
/**
* CSPLib prob007:<br/>
* "Given n in N, find a vector s = (s_1, ..., s_n), such that
* <ul>
* <li>s is a permutation of Z_n = {0,1,...,n-1};</li>
* <li>the interval vector v = (|s_2-s_1|, |s_3-s_2|, ... |s_n-s_{n-1}|) is a permutation of Z_n-{0} = {1,2,...,n-1}.</li>
* </ul>
* <br/>
* A vector v satisfying these conditions is called an all-interval series of size n;
* the problem of finding such a series is the all-interval series problem of size n."
* <br/>
*
* @author Charles Prud'homme
* @since 02/08/11
*/
public class AllIntervalSeries extends AbstractProblem {
@Option(name = "-o", usage = "All interval series size.", required = false)
private int m = 1000;
@Option(name = "-v", usage = " use views instead of constraints.", required = false)
private boolean use_views = false;
IntVar[] vars;
IntVar[] dist;
Constraint[] ALLDIFF;
Constraint[] OTHERS;
@Override
public void createSolver() {
solver = new Solver("AllIntervalSeries");
}
@Override
public void buildModel() {
vars = VariableFactory.enumeratedArray("v", m, 0, m - 1, solver);
dist = new IntVar[m - 1];
if (!use_views) {
dist = VariableFactory.enumeratedArray("dist", m - 1, 1, m - 1, solver);
for (int i = 0; i < m - 1; i++) {
solver.post(IntConstraintFactory.distance(vars[i + 1], vars[i], "=", dist[i]));
}
} else {
for (int i = 0; i < m - 1; i++) {
IntVar k = VariableFactory.bounded(StringUtils.randomName(),-20000,20000,solver);
solver.post(IntConstraintFactory.sum(new IntVar[]{vars[i],k},vars[i+1]));
dist[i] = VariableFactory.abs(k);
solver.post(IntConstraintFactory.member(dist[i], 1, m - 1));
}
}
ALLDIFF = new Constraint[2];
ALLDIFF[0] = (IntConstraintFactory.alldifferent(vars, "BC"));
ALLDIFF[1] = (IntConstraintFactory.alldifferent(dist, "BC"));
solver.post(ALLDIFF);
// break symetries
OTHERS = new Constraint[2];
OTHERS[0] = (IntConstraintFactory.arithm(vars[1], ">", vars[0]));
OTHERS[1] = (IntConstraintFactory.arithm(dist[0], ">", dist[m - 2]));
solver.post(OTHERS);
}
@Override
public void configureSearch() {
solver.set(IntStrategyFactory.minDom_LB(vars));
}
@Override
public void solve() {
solver.findSolution();
}
@Override
public void prettyOut() {
LoggerFactory.getLogger("bench").info("All interval series({})", m);
StringBuilder st = new StringBuilder();
st.append("\t");
for (int i = 0; i < m - 1; i++) {
st.append(String.format("%d <%d> ", vars[i].getValue(), dist[i].getValue()));
if (i % 10 == 9) {
st.append("\n\t");
}
}
st.append(String.format("%d", vars[m - 1].getValue()));
LoggerFactory.getLogger("bench").info(st.toString());
}
public static void main(String[] args) {
new AllIntervalSeries().execute(args);
}
}