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 }