java.lang.Object
g2501_2600.s2543_check_if_point_is_reachable.Solution

public class Solution extends Object
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
  • Constructor Details

    • Solution

      public Solution()
  • Method Details

    • isReachable

      public boolean isReachable(int x, int y)