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PKU 3311 Hie with the Pie 状态DP

2014-04-24 02:06 120 查看
Floyd + 状态DP

Watashi的板子

#include <cstdio>
#include <cstring>
#include <iostream>
#include <algorithm>

using namespace std;

const int INF = (int) 1e8;

int dp[1<<11][11]; //dp[S][v] 表示还需访问的集合为S, 现在在v点
int d[11][11];
int n;

void floyd() {
for (int k = 0; k <= n; k++) {
for (int i = 0; i <= n; i++)
for (int j = 0; j <= n; j++)
d[i][j] = min(d[i][j], d[i][k]+d[k][j]);
}
}

void print() {
for (int i = 0; i <= n; i++) {
for (int j = 0; j <= n; j++)
printf("%d ", d[i][j]);
puts("");
}
}

int main() {
#ifdef Phantom01
freopen("PKU3311.txt", "r", stdin);
#endif // Phantom01

while (scanf("%d", &n)!=EOF) {
if (0==n) break;
for (int i = 0; i <= n; i++)
for (int j = 0; j <= n; j++)
scanf("%d", &d[i][j]);
//        print();
floyd();
//        print();

for (int i = 0; i <= n; i++)
for (int S = 0; S < (1<<(n+1)); S++)
dp[S][i] = INF;

dp[(1<<(n+1))-1][0] = 0;
for (int S = (1<<(n+1))-2; S >= 0; S--) {
for (int v = 0; v <= n; v++) {
for (int u = 0; u <= n; u++) {
if (!(S&(1<<u))) {
if (dp[S][v] < 0) {
dp[S][v] = dp[S|(1<<u)][u] + d[v][u];
} else {
dp[S][v] = min(dp[S][v], dp[S|(1<<u)][u] + d[v][u]);
}
}
}
}
}
printf("%d\n", dp[0][0]);
}

return 0;
}


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