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#include<cstdio> #include<cstring> #include<algorithm> using namespace std; const int maxn = 310; int n; int visx[maxn],visy[maxn],Lx[maxn],Ly[maxn],map[maxn][maxn]; int match[maxn]; int find(int u) { visx[u] = 1; for(int v = 1; v <= n ; v++){ if(!visy[v] && Lx[u] + Ly[v] == map[u][v]){ visy[v] = 1; if(match[v] == -1 || find(match[v])){ match[v] = u; return 1; } } } return 0; } void update() { int a = 1 << 30; for(int i = 1; i <= n ;i++) if(visx[i]) for(int j = 1; j <= n ; j++) if(!visy[j]) a = min(a,Lx[i] + Ly[j] - map[i][j]); for(int i = 1; i <= n ;i++){ if(visx[i]) Lx[i] -= a; if(visy[i]) Ly[i] += a; } } void KM() { memset(match,-1,sizeof(match)); for(int i = 1 ; i <= n ; i++){ Lx[i] = Ly[i] = 0; for(int j = 1; j <= n; j++){ Lx[i] = max(Lx[i],map[i][j]); } } for(int i = 1; i <= n ;i++){ for(; ;){ memset(visx,0,sizeof(visx)); memset(visy,0,sizeof(visy)); if(find(i)) break; else update(); } } } int main() { while(~scanf("%d",&n)){ for(int i = 1;i <= n ;i++) for(int j = 1; j <= n ;j++) scanf("%d",&map[i][j]); KM(); int res = 0; for(int i = 1; i <= n ; i++){ if(match[i] != -1){ res += map[match[i]][i]; } } printf("%d\n",res); } return 0; }
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原文地址:http://www.cnblogs.com/zero-begin/p/4546434.html