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class Solution {
    public boolean canMeasureWater(int x, int y, int z) {
        //limit brought by the statement that water is finallly in one or both buckets
        if(x + y < z) return false;
        //case x or y is zero
        if( x == z || y == z || x + y == z ) return true;

        //get GCD, then we can use the property of Bézout's identity
        return z % gcd(x, y) == 0;
    }

    public int GCD(int a, int b){
        while(b != 0 ){
            int temp = b;
            b = a%b;
            a = temp;
        }
        return a;
    }
    
    public int gcd(int x, int y) {
        return y == 0 ? x : gcd(y, x % y);
    }
}