Created
June 8, 2012 13:45
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WCC 2012-23
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public class WCC2012_23 { | |
Expression bestSolution = null | |
BigDecimal target = null | |
List list | |
enum Operation { | |
plus('+'), minus('-'), multiply('*'), div('/') | |
String symbol | |
Operation(String symbol) { | |
this.symbol = symbol | |
} | |
} | |
class Expression { | |
Expression parent | |
Operation operation | |
BigDecimal value | |
BigDecimal result | |
BigDecimal dist | |
List subList | |
public String toString() { | |
if (parent.parent == null) { | |
return this.value | |
} | |
if ((parent.operation < this.operation) && (parent.parent.parent != null)) { | |
return "(${parent}) ${operation.symbol} ${value}" | |
} else { | |
return "${parent} ${operation.symbol} ${value}" | |
} | |
} | |
} | |
WCC2012_23(BigDecimal x, List a) { | |
this.target = x | |
this.list = a | |
this.bestSolution = new Expression(dist: a.min { Math.abs(x - it) }) | |
} | |
void walk(List list, Expression parent) { | |
list.eachWithIndex { BigDecimal value, idx -> | |
def subList = new ArrayList(list) | |
subList.remove(idx) | |
Operation.each { op -> | |
if (parent.result == null || parent.result > value) { | |
def result = parent.result ? parent.result."$op"(value) : value | |
def dist = Math.abs(target - result) | |
def newExpression = new Expression(parent: parent, operation: op, value: value, | |
result: result, subList: subList, dist: dist) | |
if (newExpression.dist < bestSolution.dist) { | |
bestSolution = newExpression | |
println "New best: ${bestSolution} = $bestSolution.result" | |
} | |
if (newExpression.dist == 0) { | |
if (newExpression.subList.size() > bestSolution.subList.size()) { | |
bestSolution = newExpression; | |
println "New best: ${bestSolution} = $bestSolution.result" | |
} | |
} else { | |
walk(subList, newExpression) | |
} | |
} | |
} | |
} | |
} | |
Expression solve() { | |
walk(list, new Expression()) | |
return bestSolution | |
} | |
static main(args) { | |
// WCC2012_23 wcc = new WCC2012_23(952, [25, 50, 75, 100, 6, 3]) | |
WCC2012_23 wcc = new WCC2012_23(522, [100, 5, 5, 2, 6, 8]) | |
def response = wcc.solve() | |
println "\nBest solution: ${response} = ${response.result}" | |
} | |
} |
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