Computers and Technology, 19.05.2020 13:10 mckeeshallea400
In this puzzle you have a list of n pitchers, with known capacities, c1, c2, ... cn, of holding water in gallons. You have a faucet that can be used as often and as much as the player needs. The goal is to measure exactly g gallons of water, using nothing other than these pitchers. Suppose the current amounts of water that these pitchers hold is w1, w2, ... wn,. These numbers are assumed to be 0 initially. The puzzle is solved as soon as wi = g for any i. A player can perform the following operations:
 Fill pitcher i (from the faucet). The precondition of this operation is: ci > wi ≥ 0. The effect is: wi = ci.
 Empty pitcher i. The precondition of this operation is: ci ≥ wi > 0. The effect is: wi = 0.
 Pour pitcher i to pitcher j. The precondition of this operation is: (ci ≥ wi > 0) and (cj > wj ≥ 0). In words, pitcher i must have some water to pour, and pitcher j must have some unused capacity to receive it. The (partial) effect is: (wi = 0) or (wj = cj) or both. In words, the pour operation must continue until pitcher i becomes empty (and its content is added to pitcher j's content), or pitcher j becomes full (and pitcher i retains the remainder), whichever occurs first. They may occur simultaneously.
A Sample Run
Select the puzzle to solve:
1. Pitchers
2. Eight puzzle
Your selection: 1
Enter the number of pitchers: 3
Enter the capacities of the 3 pitchers (gallons): 2, 5, 10
Enter the goal (gallons): 1
Current configuration: [0, 0, 0]
Please select your next move from the following choices:
1. Fill pitcher 1
2. Fill pitcher 2
3. Fill pitcher 3
Your selection: 2
Current configuration: [0, 5, 0]
Please select your next move from the following choices:
1. Fill pitcher 1
2. Fill pitcher 3
3. Empty pitcher 2
4. Pour pitcher 2 to 1
5. Pour pitcher 2 to 3
Your selection: 4
Current configuration: [2, 3, 0]
Please select your next move from the following choices:
1. Fill pitcher 2
2. Fill pitcher 3
3. Empty pitcher 1
4. Empty pitcher 2
5. Pour pitcher 1 to 2
6. Pour pitcher 1 to 3
7. Pour pitcher 2 to 3
Your selection: 3 Current configuration: [0, 3, 0]
Please select your next move from the following choices:
1. Fill pitcher 1
2. Fill pitcher 2
3. Fill pitcher 3
4. Empty pitcher 2
5. Pour pitcher 2 to 1
6. Pour pitcher 2 to 3
Your selection: 5 Current configuration: [2, 1, 0]
Great! You have reached the goal in 4 moves. Bye.
Answers: 1
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