poj 1986 Distance Queries(LCA离线Tarjan算法)
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题目同poj 2586相似,查询两点之间最短距离。
#include <iostream>#include <string.h>#include <stdio.h>#define NN 40002 // number of house#define MM 40002 // number of queryusing namespace std;typedef struct node{ int v; int d; struct node *nxt;}NODE;NODE *Link1[NN];NODE edg1[NN * 2]; // 树中的边NODE *Link2[NN];NODE edg2[NN * 2]; // 询问的点对int idx1, idx2, N, M,Q;int res[MM][3]; // 记录结果,res[i][0]: u res[i][1]: v res[i][2]: lca(u, v)int fat[NN];int vis[NN];int dis[NN];void Add(int u, int v, int d, NODE edg[], NODE *Link[], int &idx){//头插法建立邻接表 edg[idx].v = v; edg[idx].d = d; edg[idx].nxt = Link[u]; Link[u] = edg + idx++; edg[idx].v = u; edg[idx].d = d; edg[idx].nxt = Link[v]; Link[v] = edg + idx++;}int find(int x){ // 并查集路径压缩 if(x != fat[x]){ return fat[x] = find(fat[x]); } return x;}void Tarjan(int u){ vis[u] = 1; fat[u] = u; for (NODE *p = Link2[u]; p; p = p->nxt){ if(vis[p->v]){ res[p->d][2] = find(p->v); // 存的是最近公共祖先结点 } } for (NODE *p = Link1[u]; p; p = p->nxt){ if(!vis[p->v]){ dis[p->v] = dis[u] + p->d; Tarjan(p->v); fat[p->v] = u; } }}int main() { int T, i, u, v, d; char c; scanf("%d%d", &N, &M); idx1 = 0; memset(Link1, 0, sizeof(Link1)); for (i = 1; i <=M; i++){ scanf("%d%d%d%c", &u, &v, &d,&c); getchar(); Add(u, v, d, edg1, Link1, idx1); } scanf("%d",&Q); idx2 = 0; memset(Link2, 0, sizeof(Link2)); for (i = 1; i <= Q; i++){ scanf("%d%d", &u, &v); Add(u, v, i, edg2, Link2, idx2); res[i][0] = u; res[i][1] = v; } memset(vis, 0, sizeof(vis)); dis[1] = 0; Tarjan(1); for (i = 1; i <= Q; i++){ printf("%d\n", dis[res[i][0]] + dis[res[i][1]] - 2 * dis[res[i][2]]); } return 0;}
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