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Solution: Reaching Points

Explore how to solve the problem of transforming one point into another by applying a modified binary search technique. Understand the backwards reduction approach using modulo operations to efficiently check possible transformations, and analyze time and space complexities for optimized coding interview solutions.

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 ...