How to Solve Water and Jug Problem Problem
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Water and Jug Problem
You are given two jugs with capacities x liters and y liters. You have an infinite water supply. Return whether the total amount of water in both jugs may reach target using the following operations: ...
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Understanding the Water and Jug Problem Problem
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Problem Statement
You are given two jugs with capacities x liters and y liters. You have an infinite water supply. Return whether the total amount of water in both jugs may reach target using the following operations: Fill either jug completely with water. Completely empty either jug. Pour water from one jug into another until the receiving jug is full, or the transferring jug is empty.
Water and Jug Problem
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Examples
x = 3, y = 5, target = 4trueFollow these steps to reach a total of 4 liters: Fill the 5-liter jug (0, 5). Pour from the 5-liter jug into the 3-liter jug, leaving 2 liters (3, 2). Empty the 3-liter jug (0, 2). Transfer the 2 liters from the 5-liter jug to the 3-liter jug (2, 0). Fill the 5-liter jug again (2, 5). Pour from the 5-liter jug into the 3-liter jug until the 3-liter jug is full. This leaves 4 liters in the 5-liter jug (3, 4). Empty the 3-liter jug. Now, you have exactly 4 liters in the 5-liter jug (0, 4). Reference: The Die Hard example.
x = 2, y = 6, target = 5falsex = 1, y = 2, target = 3trueFill both jugs. The total amount of water in both jugs is equal to 3 now.
Constraints
1 <= x, y, target <= 103How Interview Coder Helps with Leetcode Problems
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