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The Water Jug problem is a classic Artificial Intelligence problem that demonstrates state-space search. The objective is to measure a specific quantity of water using two jugs of fixed capacities by performing operations such as filling, emptying, and pouring water from one jug to another. Each state is represented as a pair of values indicating the amount of water in each jug. A search algorithm explores possible states while avoiding repeated states until the desired quantity of water is obtained. Breadth-First Search (BFS) is commonly used because it guarantees the shortest sequence of operations leading to the goal. In Python, the problem can be implemented by representing each state as a tuple `(x, y)`, where `x` and `y` denote the amount of water in Jug 1 ____ ____ _______ _____ ________ __________ _______ ____ ___ __________ ______.
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