hdu2489 Minimal Ratio Tree dfs枚举组合情况+最小生成树
#include <stdio.h>
#include <set>
#include <string.h>
#include <algorithm>
using namespace std; const int maxn = ;
const int inf = ;
double minans;
int vis[maxn];//记录选中的点
int mp[maxn][maxn], ans[maxn][maxn];
int min_road[maxn]; int Prim(int n)
{
int i, j, min_i, minm, sum = ;
int dis[maxn];
int vis[maxn];
for (i = ; i <= n; i++)
dis[i] = ans[i][];
memset(vis, false, sizeof vis);
vis[] = true;
for (i = ; i<n; i++)
{
minm = inf, min_i = i;
for (j = ; j <= n; j++)
{
if (vis[j] == false && dis[j]<minm)
{
minm = dis[j];
min_i = j;
}
}
if (minm == inf)
break;
sum += minm;
vis[min_i] = true;
for (j = ; j <= n; j++)
{
if (vis[j] == && dis[j]>ans[min_i][j])
dis[j] = ans[min_i][j];
}
}
return sum;
} int ok(int n)
{
memset(vis, , sizeof vis);
int cnt = ;
int m = n, cont = ;
while (m)
{
if (m % )
vis[cont++] = cnt;
cnt++;
m /= ;
}
return cont;
} int main()
{
int d[maxn], maxm;
int n, i, j, k, cnt, m;
while (scanf("%d%d", &n, &m) != EOF)
{
if (n == && m == )
break;
maxm = ;
for (i = ; i <= n; i++)
maxm *= ;
for (i = ; i <= n; i++)
scanf("%d", &d[i]);
for (i = ; i <= n; i++)
{
for (j = ; j <= n; j++)
{
scanf("%d", &mp[i][j]);
}
}
minans = 9999999999.0;
int sum_point;
for (i = ; i < maxm; i++)
{
if (ok(i) == m + )
{
sum_point = ;
for (j = ; j <= m; j++)
{
sum_point += d[vis[j]];//选的点
for (k = j + ; k <= m; k++)
{
ans[j][k] = ans[k][j] = mp[vis[j]][vis[k]];
}
}
int sum = Prim(m);
if ((sum*1.0 / sum_point) < minans)
{
minans = sum*1.0 / sum_point;
for (i = ; i <= m; i++)
min_road[i] = vis[i];
}
}
}
for (i = ; i <= m - ; i++)
printf("%d ", min_road[i]);
printf("%d\n", min_road[i]);
}
return ;
}
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