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Solution: Reaching Points

Explore how to decide if a point transformation is possible by working backward using a modified binary search approach. Understand the modulo-based reduction technique to efficiently handle large coordinates and master the logic behind subtracting coordinates to reach the source point.

Statement

Given four integers sx, sy, tx, and ty, determine whether it is possible to transform the point (sx, sy) into the point (tx, ty) through any number of operations. Return true if such a transformation is possible, or false otherwise.

At each step, a point (x, y) can be transformed into either (x, x + y) or (x + y, y).

Constraints:

  • 11 \leq sx, sy, tx, ty 109\leq 10^9 ...