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g2501_2600.s2543_check_if_point_is_reachable.readme.md Maven / Gradle / Ivy

2543\. Check if Point Is Reachable

Hard

There exists an infinitely large grid. You are currently at point `(1, 1)`, and you need to reach the point `(targetX, targetY)` using a finite number of steps.

In one **step**, you can move from point `(x, y)` to any one of the following points:

*   `(x, y - x)`
*   `(x - y, y)`
*   `(2 * x, y)`
*   `(x, 2 * y)`

Given two integers `targetX` and `targetY` representing the X-coordinate and Y-coordinate of your final position, return `true` _if you can reach the point from_ `(1, 1)` _using some number of steps, and_ `false` _otherwise_.

**Example 1:**

**Input:** targetX = 6, targetY = 9

**Output:** false

**Explanation:** It is impossible to reach (6,9) from (1,1) using any sequence of moves, so false is returned. 

**Example 2:**

**Input:** targetX = 4, targetY = 7

**Output:** true

**Explanation:** You can follow the path (1,1) -> (1,2) -> (1,4) -> (1,8) -> (1,7) -> (2,7) -> (4,7). 

**Constraints:**

*   1 <= targetX, targetY <= 109