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Solution: Reaching Points

Understand how to verify if a source point can transform into a target point by applying backward steps using modulo operations. Explore how the modified binary search approach efficiently reduces the problem size, enabling quick decision-making for large coordinates within logarithmic time complexity.

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 ...