water-and-jug-problem.java

// You are given two jugs with capacities x and y litres. There is an infinite amount of water supply available.
// You need to determine whether it is possible to measure exactly z litres using these two jugs.
//
// If z liters of water is measurable, you must have z liters of water contained within one or both buckets by the end.
//
//
// Operations allowed:
//
// Fill any of the jugs completely with water.
// Empty any of the jugs.
// Pour water from one jug into another till the other jug is completely full or the first jug itself is empty.
//
//
//
// Example 1: (From the famous "Die Hard" example)
//
// Input: x = 3, y = 5, z = 4
// Output: True
//
//
//
// Example 2:
//
// Input: x = 2, y = 6, z = 5
// Output: False
//
//
//
// Credits:Special thanks to @vinod23 for adding this problem and creating all test cases.


public class Solution {
    public boolean canMeasureWater(int x, int y, int z) {
        if(x+y<z)return false;
        if(x==z||y==z||x+y==z)return true;
        return z%gcd(x,y)==0;
    }
    public int gcd(int x,int y){
        while(y!=0){
            int temp = y;
            y = x%y;
            x = temp;
        }
        return x;
    }
}