1003. Emergency (25)(Dijkstra + DFS)
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这一题算是我对于 Dijkstra 和 DFS 的初步认识吧,学习水准还是比较低的。
贴代码!
#include <cstdio>#define INF 65535#define MX 501int mp[MX][MX];int v[MX];int dist[MX];int teams[MX];int amount[MX];int pathcount[MX];int N,M,start,en;int main(){ scanf("%d %d %d %d", &N,&M,&start,&en); for (int i = 0; i < N; i++) { scanf("%d", &teams[i]); } for (int i=0; i<N; i++) { dist[i] = INF; for (int j=0; j<N; j++) mp[i][j] = INF; } for (int i=0; i<M; i++) { int c1, c2, L; scanf("%d %d %d", &c1,&c2,&L); mp[c1][c2] = mp[c2][c1] = L; } for (int i = 0; i < N; i++) { v[i] = 0; dist[i] = mp[start][i]; } pathcount[start] = 1; dist[start] = 0; amount[start] = teams[start]; for (int i = 0; i < N; i++) { int k = 0,min = INF; for (int j = 0; j < N; j++) { if (!v[j] && dist[j] < min) { k = j; min = dist[j]; } } if (min==INF || k==en) break; v[k] = 1; for (int j = 0; j < N; j++) { if (!v[j]) { if (min + mp[k][j] < dist[j]) { dist[j] = min + mp[k][j]; pathcount[j] = pathcount[k]; amount[j] = amount[k] + teams[j]; } else if (min + mp[k][j] == dist[j]) { if (amount[j] < amount[k] + teams[j]) amount[j] = amount[k] + teams[j]; pathcount[j] += pathcount[k]; } } } } printf("%d %d\n", pathcount[en], amount[en]); return 0;}
这一题的 Dijkstra 还是有一点的变形,觉得真是一个神奇的算法。
接着就是 DFS 用这种法子觉得很暴力,在 pat 里也发现时间和空间都相比 Dijkstra 比较大。
贴代码
#include <cstdio>#define MX 501int N,M,C1,C2;int teams[MX] = {0};int mp[MX][MX] = {0};bool boolDfs[MX] = {false};int minDistance = 65535;int shortPath = 0;int maxTeams = 0;void dfs(int start, int distance, int team){ if (start == C2) { if (distance < minDistance) { minDistance = distance; shortPath = 1; maxTeams = team; } else if (distance == minDistance) { shortPath++; if (team > maxTeams) maxTeams = team; } return; } boolDfs[start] = true; for (int i = 0; i < N; i++) { if (boolDfs[i] == false && mp[start][i] > 0) { dfs(i,distance + mp[start][i],team + teams[i]); } } boolDfs[start] = false;}int main(){ scanf("%d %d %d %d",&N,&M,&C1,&C2); for (int i = 0; i < N; i++) { scanf("%d",&teams[i]); } for (int i = 0; i < M; i++) { int c1,c2,tmp; scanf("%d %d %d",&c1,&c2,&tmp); mp[c1][c2] = mp[c2][c1] = tmp; } dfs(C1,0,teams[C1]); printf("%d %d",shortPath,maxTeams); return 0;}
dfs 的思路蛮不错的,可以适用于很多题目,讲道理刷题考pat而言的话,dfs更好一点,pat对于空间要求并不高,可以用dfs 快速解决一些dp 的题目。
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