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Solution: Reaching Points

Explore how to use modified binary search to determine if a source point can be transformed into a target point through specific operations. Understand the backward transformation approach using modulo operations for efficient computation, and learn to implement the solution with logarithmic time complexity and constant space usage.

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 ...