Solution: Reaching Points
Understand the method to decide if one point can be transformed into another using repeated operations. Explore a backward search technique applying modulo-based reductions to efficiently solve the problem within logarithmic time.
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We'll cover the following...
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:
sx,sy,tx,ty...