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Solution: Water and Jug Problem

Understand how to solve the water and jug problem efficiently by using the greatest common divisor (GCD) concept. This lesson helps you determine whether a specific water volume can be measured using two jugs through mathematical reasoning, avoiding brute force simulation.

Statement

You are given two jugs with capacities of x liters and y liters, respectively, along with an infinite water supply. Determine whether it is possible for the total amount of water in both jugs may reach target liters.

You may perform the following operations any number of times:

  • Fill either jug completely with water.

  • Empty either jug completely.

  • Pour water from one jug into the other until either the receiving jug ...