预处理轮船到各个港口的最短路径,然后KM解之即可。
/*HDU 2448*/ #include <iostream> #include <cstdlib> #include <cstdio> #include <string> #include <cstring> #include <cmath> #include <vector> #include <queue> #include <algorithm> #include <map> using namespace std; const int maxn = 310; const int INF = 0x3f3f3f3f; int n, m; int W[maxn][maxn]; int Lx[maxn], Ly[maxn]; int Left[maxn]; bool S[maxn], T[maxn]; bool match(int i) { S[i] = 1; for(int j = 1; j <= m; j++) if(Lx[i]+Ly[j] == W[i][j] && !T[j]) { T[j] = 1; if(!Left[j] || match(Left[j])) { Left[j] = i; return 1; } } return 0; } void update() { int a = INF; for(int i = 1; i <= n; i++) if(S[i]) for(int j = 1; j <= m; j++) if(!T[j]) a = min(a, Lx[i]+Ly[j]-W[i][j]); for(int i = 1; i <= n; i++) { if(S[i]) Lx[i] -= a; } for(int j = 1; j <= m; j++) { if(T[j]) Ly[j] += a; } } void KM() { memset(Left, 0, sizeof(Left)); memset(Lx, 0, sizeof(Lx)); memset(Ly, 0, sizeof(Ly)); for(int i = 1; i <= n; i++) { for(int j = 1; j <= m; j++) Lx[i] = max(Lx[i], W[i][j]); } for(int i = 1; i <= n; i++) { for(;;) { for(int j = 1; j <= m; j++) S[j] = T[j] = 0; if(match(i)) break; else update(); } } } inline void readint(int &x) { char c; c = getchar(); while(!isdigit(c)) c = getchar(); x = 0; while(isdigit(c)) x = x*10+c-'0', c = getchar(); } inline void writeint(int x) { if(x > 9) writeint(x/10); putchar(x%10+'0'); } int N, M, K, P; int station[maxn]; int d[maxn]; int G[maxn][maxn]; void Dijkstra(int s) { bool vis[maxn] = {0}; for(int i = 1; i <= N+M; i++) d[i] = (i == s)? 0:INF; for(int i = 1; i <= N+M; i++) { int x, MIN = INF; for(int y = 1; y <= N+M; y++) if(!vis[y] && d[y] <= MIN) MIN = d[x=y]; vis[x] = 1; for(int y = 1; y <= N+M; y++) d[y] = min(d[y], d[x] + G[x][y]); } } void read_case() { n = m = N; memset(G, INF, sizeof(G)); for(int i = 1; i <= N; i++) readint(station[i]); for(int i = 1; i <= K; i++) { int x, y, z; readint(x), readint(y), readint(z); if(z < G[x][y]) G[x][y] = G[y][x] = z; } for(int i = 1; i <= P; i++) { int x, y, z; readint(x), readint(y), readint(z); if(z < G[y][x+M]) G[y][x+M] = z; } } void build() { for(int i = 1; i <= N; i++) for(int j = 1; j <= N; j++) W[i][j] = -INF; for(int i = 1; i <= N; i++) { Dijkstra(station[i]); for(int j = M+1; j <= N+M; j++) { if(d[j] != INF) W[i][j-M] = -d[j]; } } } void solve() { read_case(); build(); KM(); int ans = 0; for(int i = 1; i <= m; i++) if(Left[i] && W[Left[i]][i] != -INF) ans -= W[Left[i]][i]; printf("%d\n", ans); } int main() { while(~scanf("%d%d%d%d", &N, &M, &K, &P)) { solve(); } return 0; }