Solution: Water and Jug Problem
Explore how to apply Bézout's Identity and the greatest common divisor (GCD) to determine if a target volume can be measured using two jugs. Understand the problem constraints and implement an efficient solution with logarithmic time complexity and constant space usage, helping you develop skills essential for coding interviews.
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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 becomes ...