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Description

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



Note:

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

Solutions

Python3

Java

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