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Solution: Reaching Points

Explore how to solve the reaching points problem by working backwards from the target point using a modified binary search approach. Understand the importance of modulo operations to efficiently reduce coordinates and determine if the transformation from source to target is possible. This lesson helps you master a problem-solving pattern critical for coding interviews.

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 ...