A move consists of taking a point (x, y) and transforming it to either (x, x+y) or (x+y, y).

Given a starting point (sx, sy) and a target point (tx, ty), return True if and only if a sequence of moves exists to transform the point (sx, sy) to (tx, ty). Otherwise, return False.

Examples:
Input: sx = 1, sy = 1, tx = 3, ty = 5
Output: True
Explanation:
One series of moves that transforms the starting point to the target is:
(1, 1) -> (1, 2)
(1, 2) -> (3, 2)
(3, 2) -> (3, 5)

Input: sx = 1, sy = 1, tx = 2, ty = 2
Output: False

Input: sx = 1, sy = 1, tx = 1, ty = 1
Output: True

分析:因为对于起始点来讲,它后面的x和y值永远是增加的,所以,如果sx > tx 或者 sy > ty,那么明显是不行的。
但是从小到大找好像不好找,可以换种思维,从大往小找。
 1 class Solution {
 2     public boolean reachingPoints(int sx, int sy, int tx, int ty) {
 3         if (ty < sy || tx < sx) return false;
 4         while (tx >= sx && ty >= sy) {
 5             if (tx > ty) tx %= ty;
 6             else ty %= tx;
 7         }
 8         if (tx == sx) {
 9             return (ty - sy) % sx == 0;
10         }
11         if (ty == sy) {
12             return (tx - sx) % sy == 0;
13         }
14         return false;
15     }
16 }