leetcode WaterandJugProblem
z
 2019-04-09 10:36:27   
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
public class WaterandJugProblem {
  /*
      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
   */
  public boolean waterJug(int x, int y, int z){
    if (x+y < z) return false;
    if (z == x || z == y || z == x + y) return true;
    return z%gcd(x, y)==0;
  }
  public int gcd(int x, int y){
    while(y!= 0){
      int t = x % y;
      x = y;
      y = t;
    }
    return x;
  }


}