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题目大意:给出N个点,M条线,Q个询问,询问的是两点之间的最短距离
解题思路:恶心的数据量,一不小心就超空间了
这题给图不是张连通图,是森林,所以计算两点之间的最短距离时还要考虑一下是否在同一棵树中
剩下的就是裸LCA了
#include <cstdio>
#include <cstring>
#define N 10010
#define M 20010
#define C 2000010
struct Edge{
int to, next, dis;
}E[M];
struct Edge2{
int to, next, w;
}E2[C];
int n, m, c, tot, tot2;
int head[N], head2[N], dist[N], f[N], vis[N];
void AddEdge(int u, int v, int dis) {
E[tot].to = v; E[tot].next = head[u]; E[tot].dis = dis; head[u] = tot++;
u = u ^ v; v = u ^ v; u = u ^ v;
E[tot].to = v; E[tot].next = head[u]; E[tot].dis = dis; head[u] = tot++;
}
void AddEdge2(int u, int v) {
E2[tot2].to = v; E2[tot2].next = head2[u]; E2[tot2].w = -1; head2[u] = tot2++;
u = u ^ v; v = u ^ v; u = u ^ v;
E2[tot2].to = v; E2[tot2].next = head2[u]; E2[tot2].w = -1; head2[u] = tot2++;
}
void init() {
memset(head, -1, sizeof(head));
memset(head2, -1, sizeof(head2));
tot = tot2 = 0;
int u, v, d;
for (int i = 0; i < m; i++) {
scanf("%d%d%d", &u, &v, &d);
AddEdge(u, v, d);
}
for (int i = 0; i < c; i++) {
scanf("%d%d", &u, &v);
AddEdge2(u, v);
}
memset(vis, 0, sizeof(vis));
}
int find(int x) {
return x == f[x] ? x : f[x] = find(f[x]);
}
void tarjan(int u, int time) {
vis[u] = time;
f[u] = u;
int v;
for (int i = head[u]; i != -1; i = E[i].next) {
v = E[i].to;
if (vis[v])
continue;
dist[v] = dist[u] + E[i].dis;
tarjan(v, time);
f[v] = u;
}
for (int i = head2[u]; i != -1; i = E2[i].next) {
v = E2[i].to;
if (vis[v] == time)
E2[i].w = E2[i^1].w = dist[u] + dist[v] - 2 * dist[find(v)];
}
}
void solve() {
int cnt = 1;
for (int i = 1; i <= n; i++) {
if (!vis[i]) {
dist[i] = 0;
tarjan(i, cnt);
}
cnt++;
}
for (int i = 0; i < tot2; i += 2) {
if (E2[i].w == -1)
printf("Not connected\n");
else
printf("%d\n", E2[i].w);
}
}
int main() {
while (scanf("%d%d%d", &n, &m, &c) != EOF) {
init();
solve();
}
return 0;
}
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HDU - 2874 Connections between cities(LCA)
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原文地址:http://blog.csdn.net/l123012013048/article/details/47634759