Created
August 16, 2018 15:17
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Water Jug problem with minimum set of steps
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import java.util.ArrayList; | |
import java.util.Collections; | |
import java.util.List; | |
public class WaterBucket { | |
private static int gcd(int a, int b){ | |
if(a==0) | |
return b; | |
return gcd(b%a, a); | |
} | |
private static List<Pair> pour(final int fromCap, final int toCap, final int d){ | |
List<Pair> list = new ArrayList<>(); | |
int from = fromCap; | |
int to = 0; | |
list.add(new Pair(to, from)); | |
while (from != d && to!=d){ | |
int temp = Math.min(from, toCap-to); | |
to += temp; | |
from -= temp; | |
list.add(new Pair(to,from)); | |
if(from == d || to == d) | |
break; | |
if (from == 0) | |
{ | |
from = fromCap; | |
list.add(new Pair(to,from)); | |
} | |
// If second jug becomes full, empty it | |
if (to == toCap) | |
{ | |
to = 0; | |
list.add(new Pair(to,from)); | |
} | |
} | |
return list; | |
} | |
public static List<Pair> minStpes(int to, int from, int d){ | |
if(to > from){ | |
int temp = from; | |
from = to; | |
to = temp; | |
} | |
if(d>from){ | |
return Collections.emptyList(); | |
} | |
if ((d % gcd(from,to)) != 0){ | |
return Collections.emptyList(); | |
} | |
List<Pair> list1 = pour(to,from,d); | |
List<Pair> list2 = pour(from,to,d); | |
if(list1.size()<list2.size()) | |
return list1; | |
else | |
return list2; | |
} | |
private static class Pair{ | |
private int firstValue; | |
private int secondValue; | |
private Pair(int firstValue, int secondValue) { | |
this.firstValue = firstValue; | |
this.secondValue = secondValue; | |
} | |
@Override | |
public String toString() { | |
return String.format("(%d,%d)",firstValue,secondValue); | |
} | |
} | |
public static void main(String[] args) { | |
System.out.println(minStpes(4,11,9)); | |
} | |
} | |
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