0780. Reaching Points

https://leetcode.com/problems/reaching-points

Description

Given four integers sx, sy, tx, and ty, return true if it is possible to convert the point (sx, sy) to the point (tx, ty) through some operations*, or* false otherwise.

The allowed operation on some point (x, y) is to convert it to either (x, x + y) or (x + y, y).

Example 1:

**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)

Example 2:

**Input:** sx = 1, sy = 1, tx = 2, ty = 2
**Output:** false

Example 3:

**Input:** sx = 1, sy = 1, tx = 1, ty = 1
**Output:** true

Constraints:

  • 1 <= sx, sy, tx, ty <= 109

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