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Last week, School of Applied Mathematics held a competition of flying kite, contestants are divided into pairs, and one contestant competes with another in each pair. As we know, different way dividing pairs may bring different splendid level value, which appears as a real numbers. Now Miss Ye wants to know how to divide the competitor in order to attain maximum splendid level.
The first line of the input contains one integer T, which indicate the number of test case.
For each test case, in the first line there is an integer N (N≤16, N is always an even number) indicating there are N contestants taking part the competition.
In the next N line, each line contains N real numbers. The j-th number in the i-th line is the splendid level value when the i-th contestant and the j-th constant are made in one pair. You can assume the j-th number in the i-th line is equal to the i-th number in the j-th line.
For each case, output the maximum total splendid level value accurate to two digits after the radix point.
| Sample Input | Sample Output |
|---|---|
1 2 0.0 1.0 1.0 0.0 |
1 |
1 #include <iostream> 2 #include <algorithm> 3 #include <cstring> 4 #include <cstdio> 5 6 using namespace std; 7 const int maxn = 16 + 15; 8 double value[maxn][maxn]; 9 double f[1 << 16]; 10 bool arrive[1<<16]; 11 int n; 12 double ans; 13 14 15 double dfs(int cur,int val) 16 { 17 if (arrive[val]) 18 return f[val]; 19 arrive[val] = true; 20 double &ans = f[val] = -1e100; 21 if (val) 22 { 23 for(int i = 0 ; i < n ; ++ i) 24 if (val >> i & 1 && i != cur) 25 { 26 int next = 1; 27 int newval = val; 28 newval &= ~(1 << i); 29 newval &= ~(1 << cur); 30 for(int j = 0 ; j < n ; ++ j) 31 if (newval >> j & 1) 32 { 33 next = j; 34 break; 35 } 36 ans = max(ans,dfs(next,newval) + value[cur][i] ); 37 } 38 } 39 else 40 ans = 0; 41 return ans; 42 } 43 44 int main(int argc,char *argv[]) 45 { 46 int Case; 47 scanf("%d",&Case); 48 while(Case--) 49 { 50 memset(arrive,false,sizeof(arrive)); 51 scanf("%d",&n); 52 for(int i = 0 ; i < n ; ++ i) 53 for(int j = 0 ; j < n ; ++ j) 54 scanf("%lf",&value[i][j]); 55 dfs(0,(1<<n)-1); 56 printf("%.2lf\n",f[(1<<n)-1]); 57 } 58 return 0; 59 }
UESTC_The Most Wonderful Competition CDOJ 56
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原文地址：http://www.cnblogs.com/Xiper/p/4489624.html
