LeetCode [780] 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 Trueif 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

Note:

• sx, sy, tx, ty will all be integers in the range [1, 10^9].

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class Solution { public: bool reachingPoints(int sx, int sy, int tx, int ty) { if (tx < sx || ty < sy) { return false; } if (tx == sx && ty == sy) { return true; } if (tx == sx) { return (ty - sy) % tx == 0; } if (ty == sy) { return (tx - sx) % ty == 0; } if (tx > ty) { return reachingPoints(sx, sy, tx % ty, ty); } return reachingPoints(sx, sy, tx, ty % tx); } };