Solution: Water and Jug Problem
Explore how to solve the Water and Jug problem by understanding the mathematical principle of Bézout's Identity and applying the greatest common divisor (GCD) concept. Learn to check conditions efficiently without simulating steps, enabling you to decide whether a target water quantity can be achieved by filling, emptying, or pouring between two jugs.
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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 ...