Check if Point Is Reachable

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
InputtargetX = 6, targetY = 9
Outputfalse
It is impossible to reach (6, 9) from (1, 1) using any sequence of moves, so false is returned.
Example 2
InputtargetX = 4, targetY = 7
Outputtrue
You can follow the path (1, 1) -> (1, 2) -> (1, 4) -> (1, 8) -> (1, 7) -> (2, 7) -> (4, 7).

Constraints

  • 1 <= targetX, targetY <= 10^9

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