文件名称:a
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Problem A: Pouring Water-I guess that everybody can play this game: There are two buckets(水桶). Bucket 1 has the capacity X and bucket 2 has Y liters(升). Then you are asked to measure Z liters of water in one of the two buckets, using the three operations:
1. F(i), which means fill the bucket i(1<=i<=2) with water
2. E(i), which means make the bucket i empty
3. P(i, j), which means pour water from bucket i to bucket j After this operation either the bucket j is full or the bucket i is empty.
Duncan is so curious about this problem. He analyses this problem: First he check if the aim is achieved, if not, each time we need to choose one from these six operations from left to right:
F(1), F(2), E(1), E(2), P(1, 2), P(2, 1).
Duncan decides to search the answer by the order given in the upper.
So, you should help him find the shortest possible sequence of these operations that will measure exactly Z liters of water.
Input
The first line i
1. F(i), which means fill the bucket i(1<=i<=2) with water
2. E(i), which means make the bucket i empty
3. P(i, j), which means pour water from bucket i to bucket j After this operation either the bucket j is full or the bucket i is empty.
Duncan is so curious about this problem. He analyses this problem: First he check if the aim is achieved, if not, each time we need to choose one from these six operations from left to right:
F(1), F(2), E(1), E(2), P(1, 2), P(2, 1).
Duncan decides to search the answer by the order given in the upper.
So, you should help him find the shortest possible sequence of these operations that will measure exactly Z liters of water.
Input
The first line i
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