本文深入解析CEOI2003中一道关于最长公共子序列的问题，介绍了一种新颖的方法来找出所有可能的最长公共子序列，并避免重复。文章详细解释了如何通过计算loc和LCS矩阵来确定最优解。
Trip
| Time Limit: 1000MS | Memory Limit: 65536K | |
| Total Submissions: 1629 | Accepted: 372 |
Description
Alice and Bob want to go on holiday. Each of them has planned a route, which is a list of cities to be visited in a given order. A route may contain a city more than once.
As they want to travel together, they have to agree on a common route. None wants to change the order of the cities on his or her route or add other cities. Therefore they have no choice but to remove some cities from the route. Of course the common route should be as long as possible.
There are exactly 26 cities in the region. Therefore they are encoded on the lists as lower case letters from 'a' to 'z'.
As they want to travel together, they have to agree on a common route. None wants to change the order of the cities on his or her route or add other cities. Therefore they have no choice but to remove some cities from the route. Of course the common route should be as long as possible.
There are exactly 26 cities in the region. Therefore they are encoded on the lists as lower case letters from 'a' to 'z'.
Input
The input consists of two lines; the first line is Alice's list, the second line is Bob's list.
Each list consists of 1 to 80 lower case letters with no spaces inbetween.
Each list consists of 1 to 80 lower case letters with no spaces inbetween.
Output
The output should contain all routes that meet the conditions described above, but no route should be listed more than once. Each route should be printed on a separate line. There is at least one such non-empty route, but never more than 1000 different ones. Output them in ascending order.
Sample Input
abcabcaa acbacba
Sample Output
ababa abaca abcba acaba acaca acbaa acbca
Source
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