Reaching Points

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。

 class Solution {

     public boolean reachingPoints(int sx, int sy, int tx, int ty) {

         if (ty < sy || tx < sx) return false;

         while (tx >= sx && ty >= sy) {

             if (tx > ty) tx %= ty;

             else ty %= tx;

         }

         if (tx == sx) {

             return (ty - sy) % sx == ;

         }

         if (ty == sy) {

             return (tx - sx) % sy == ;

         }

         return false;

     }

 }

巴特西

Reaching Points

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