Description

Given starting point (sx, sy) and target point (tx, ty), return true if you can reach target using operations: (x, y) -> (x+y, y) or (x, x+y).

Examples

Input:sx = 1, sy = 1, tx = 3, ty = 5
Output:true
Explanation:

(1,1)->(1,2)->(3,2)->(3,5).

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

From (1,1), the only possible moves are to (1,2) or (2,1). Neither of those can reach (2,2) since each operation adds one coordinate to the other, always producing an odd sum.

Input:sx = 1, sy = 1, tx = 1000000000, ty = 1
Output:true
Explanation:

The point (1000000000, 1) is reachable from (1, 1) by repeatedly adding coordinates: (1,1)->(1,2)->(3,2)->(3,5)->(8,5)...

Constraints

  • 1 ≤ sx, sy, tx, ty ≤ 10⁹

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