夏令营和济南培训的时候都讲过现在才开始刷
我真的太颓了...
传送门
先放个玄学东西:
思路:
先跑一下kruskal然后,LCA找最小值最大的那条路
代码:
#include <map> #include <set> #include <cmath> #include <queue> #include <stack> #include <cstdio> #include <string> #include <vector> #include <cstring> #include <cstdlib> #include <iomanip> #include <iostream> #include <algorithm> #define N 50005 #define M 100005 #define INF 999999999 using namespace std; struct Edge1 { int x, y, dis; }edge1[N]; struct Edge2 { int to, next, dis; }edge2[M]; int head[N], fa[N][21], w[N][21], fath[N], cnt, deep[N], n, m; bool vis[N]; int read() { int s = 0, f = 0; char ch = getchar(); while (!isdigit(ch)) f |= (ch == '-'), ch = getchar(); while (isdigit(ch)) s = s * 10 + (ch ^ 48), ch = getchar(); return f ? -s : s; } bool CMP(Edge1 x, Edge1 y) { return x.dis > y.dis; } void add_edge(int from, int to, int dis) { edge2[++cnt].next = head[from]; edge2[cnt].to = to; edge2[cnt].dis = dis; head[from] = cnt; } int find(int x) { if (fath[x] != x) fath[x] = find(fath[x]); return fath[x]; } void kruskal() { sort(edge1 + 1, edge1 + m + 1, CMP); for (int i = 1; i <= n; i++) fath[i] = i; for (int i = 1; i <= m; i++) if (find(edge1[i].x) != find(edge1[i].y)) { fath[find(edge1[i].x)] = find(edge1[i].y); add_edge(edge1[i].x, edge1[i].y, edge1[i].dis); add_edge(edge1[i].y, edge1[i].x, edge1[i].dis); } } void dfs(int node) { vis[node] = true; for (int i = head[node]; i; i = edge2[i].next) { int to = edge2[i].to; if (vis[to]) continue; deep[to] = deep[node] + 1; fa[to][0] = node; w[to][0] = edge2[i].dis; dfs(to); } } int lca(int x, int y) { if (find(x) != find(y)) return -1; int ans = INF; if (deep[x] > deep[y]) swap(x, y); for (int i = 20; i >= 0; i--) if (deep[fa[y][i]] >= deep[x]) { ans = min(ans, w[y][i]); y = fa[y][i]; } if (x == y) return ans; for (int i = 20; i >= 0; i--) if (fa[x][i] != fa[y][i]) { ans = min(ans, min(w[x][i], w[y][i])); x = fa[x][i]; y = fa[y][i]; } ans = min(ans, min(w[x][0], w[y][0])); return ans; } int main() { n = read(), m = read(); for (int i = 1, x, y, dis; i <= m; i++) { x = read(), y = read(), dis = read(); edge1[i].x = x, edge1[i].y = y, edge1[i].dis = dis; } kruskal(); for (int i = 1; i <= n; i++) if (!vis[i]) { deep[i] = 1; dfs(i); fa[i][0] = i; w[i][0] = INF; } for (int i = 1; i <= 20; i++) for (int j = 1; j <= n; j++) { fa[j][i] = fa[fa[j][i - 1]][i - 1]; w[j][i] = min(w[j][i - 1], w[fa[j][i - 1]][i - 1]); } int s = read(); for (int i = 1, x, y; i <= s; i++) { x = read(), y = read(); printf("%d\n", lca(x, y)); } return 0; }