2016沈阳区域赛http://acm.hdu.edu.cn/showproblem.php?pid=5955

Guessing the Dice Roll

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)
Total Submission(s): 1632    Accepted Submission(s): 480

Problem Description

There are N players playing a guessing game. Each player guesses a sequence consists of {1,2,3,4,5,6} with length L, then a dice will be rolled again and again and the roll out sequence will be recorded. The player whose guessing sequence first matches the last L rolls of the dice wins the game.

Input

The first line is the number of test cases. For each test case, the first line contains 2 integers N (1 ≤ N ≤ 10) and L (1 ≤ L ≤ 10). Each of the following N lines contains a guessing sequence with length L. It is guaranteed that the guessing sequences are consist of {1,2,3,4,5,6} and all the guessing sequences are distinct.

Output

For each test case, output a line containing the winning probability of each player with the precision of 6 digits.

Sample Input

3
5 1
1
2
3
4
5
6 2
1 1
2 1
3 1
4 1
5 1
6 1
4 3
1 2 3
2 3 4
3 4 5
4 5 6

Sample Output

0.200000 0.200000 0.200000 0.200000
0.200000
0.027778 0.194444 0.194444 0.194444
0.194444 0.194444
0.285337 0.237781 0.237781 0.239102

Source

2016ACM/ICPC亚洲区沈阳站-重现赛（感谢东北大学）

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原文地址：https://www.cnblogs.com/wyboooo/p/9951242.html