题库练习 [COCI-2006_2007-contest1]#1 BOND
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A1063 | [COCI-2006_2007-contest1]#1 BOND

来源COCI
时间限制1s
内存限制128MB
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题目描述

Everyone knows of the secret agent double-oh-seven, the popular Bond (James Bond). A lesser known fact is that he actually did not perform most of his missions by himself; they were instead done by his cousins, Jimmy Bonds. Bond (James Bond) has grown weary of having to distribute assign missions to Jimmy Bonds every time he gets new missions so he has asked you to help him out.
Every month Bond (James Bond) receives a list of missions. Using his detailed intelligence from past missions, for every mission and for every Jimmy Bond he calculates the probability of that particular mission being successfully completed by that particular Jimmy Bond. Your program should process that data and find the arrangement that will result in the greatest probability that all missions are completed successfully.
Note: the probability of all missions being completed successfully is equal to the product of the probabilities of the single missions being completed successfully.

输入格式

The first line will contain an integer N, the number of Jimmy Bonds and missions (1 ≤ N ≤ 20).
The following N lines will contain N integers between 0 and 100, inclusive. The j-th integer on the ith line is the probability that Jimmy Bond i would successfully complete mission j, given as a percentage.

输出格式

Output the maximum probability of Jimmy Bonds successfully completing all the missions, as a percentage.

输入输出样例

输入 #1
2 
100 100 
50 50
输出 #1
50.000000 
输入 #2
2 
0 50 
50 0
输出 #2
25.00000
输入 #3
3 
25 60 100 
13 0 50 
12 70 90
输出 #3
9.10000
C++ 编辑器
输入
输出