题目:http://acm.hdu.edu.cn/showproblem.php?pid=5137
题意:话说题意很坑啊、第一次做这个题暴力枚举也想起来了, 但。。。。 题目说的是在路径中去任意除一个点, 看1~n是否还联通,求权值和最大的最短路的权值和,题目中给的点数最大是30,暴力枚举就出来了。 注意一点: Sp 和 Dij 中是对Map数组处理。
Spfa: #include <queue> #include <cstdio> #include <cstring> #include <iostream> #define max(a, b) a>b?a:b using namespace std; const int INF = 0x3f3f3f3f; int map[33][33], Map[33][33], dis[33], vis[33]; int n, m; int Spfa(int a) { memset(vis, 0, sizeof(vis)); for(int i = 1; i <= n; i++) for(int j = 1; j <= n; j++) { if(i == a || j == a) Map[i][j] = INF; else Map[i][j] = map[i][j]; } for(int i = 1; i <= n; i++) dis[i]=INF; dis[1] = 0; vis[1] = 1; queue<int> Q; Q.push(1); while(!Q.empty()) { int temp = Q.front(); Q.pop(); vis[temp] = 0; for(int j = 1; j <= n; j++) if(dis[j] > dis[temp] + Map[temp][j]) { dis[j] = dis[temp] + Map[temp][j]; if(!vis[j]) { vis[j] = 1; Q.push(j); } } } return dis[n]; } int main() { while(scanf("%d %d", &n, &m), n+m) { for(int i = 1; i <= n; i++) for(int j = 1; j <= n; j++) map[i][j]=(i==j?0:INF); int u, v, w; for(int i = 1; i <= m; i++) { scanf("%d %d %d", &u, &v, &w); if(map[u][v] > w) map[u][v]=map[v][u]=w; } int ans = 0; for(int i = 2; i < n; i++) //暴力枚举, 很精髓。 ans = max(ans, Spfa(i)); if(ans == INF) printf("Inf "); else printf("%d ", ans); } return 0; }
Dijkstra:练练模板。 #include <cstdio> #include <cstring> #include <iostream> #define max(a, b) a>b?a:b const int INF = 0x3f3f3f3f; using namespace std; int map[33][33], Map[33][33], dis[33], vis[33]; int n, m; int Dijkstra(int a) { memset(vis, 0, sizeof(vis)); for(int i = 1; i <= n; i++) for(int j = 1; j <= n; j++) { if(i == a || j == a) Map[i][j] = INF; else Map[i][j] = map[i][j]; } for(int i = 1; i <= n; i++) dis[i] = map[1][i]; vis[1] = 1; for(int i = 1; i < n; i++) { int temp, min = INF; for(int j = 1; j <= n; j++) { if(!vis[j] && dis[j] < min) { temp = j; min = dis[j]; } } vis[temp] = 1; for(int j = 1; j <= n; j++) if(!vis[j] && dis[j] > dis[temp] + Map[temp][j]) dis[j] = dis[temp] + Map[temp][j]; } return dis[n]; } int main() { while(scanf("%d %d", &n, &m), m+n) { for(int i = 1; i <= n; i++) for(int j = 1; j <= n; j++) map[i][j]=(i==j?0:INF); int u, v, w; for(int i = 1; i <= m; i++) { scanf("%d %d %d", &u, &v, &w); if(map[u][v] > w) map[u][v] = map[v][u] = w; } int maxx = 0; for(int i = 2; i < n; i++) maxx = max(maxx, Dijkstra(i)); if(maxx == INF) printf("Inf "); else printf("%d ", maxx); } return 0; }