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3个点蜜汁RE,求助大佬!
P3379【模板】最近公共祖先(LCA)参与者 2已保存回复 7
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- 2025/11/20 12:39 4 个月前
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CPP
#include <iostream>
#include <cstdio>
#include <cmath>
#include <algorithm>
using namespace std;
const int N = 5e5 + 5;
int n, m, s;
int u, v;
int x, y;
int head[N]; //每个点连出去的第一条边的编号
int cnt = 0; //边的数量
int depth[N]; //每个边的深度
int vis[N]; //判断每个点是否走过
int f[N][30];
struct EDGE {
int s; //这个边的起点
int e; //这个边的终点
int w; //这个边的权值
int nxt; //这个边的下一条边的指针
} Edge[N];
void add(int u, int v, int w) {
++cnt;
Edge[cnt].s = u;
Edge[cnt].e = v;
Edge[cnt].w = w;
Edge[cnt].nxt = head[u];
head[u] = cnt;
}
void dfs(int x, int dep) {
for (register int i = 1; i < 25; ++i)
f[x][i] = f[f[x][i - 1]][i - 1];
for (register int i = head[x]; i != 0 && Edge[i].s == x; i = Edge[i].nxt) {
if (vis[Edge[i].e]) continue;
vis[Edge[i].e] = true;
f[Edge[i].e][0] = x;
depth[Edge[i].e] = dep + 1;
dfs(Edge[i].e, dep + 1);
}
}
int lca(int a, int b) {
if (depth[a] < depth[b]) swap(a, b);
int dis = depth[a] - depth[b];
for (register int i = 0; (1 << i) <= dis; ++i)
if ((1 << i) & dis) a = f[a][i];
if (a == b) return a;
for (register int i = 25; i >= 0; --i) {
if (f[a][i] != f[b][i])
a = f[a][i], b = f[b][i];
}
return f[a][0];
}
int read() {
int s = 0, w = 1;
char ch = getchar();
while (ch <='0' || ch > '9') {
if (ch == '-') w = -1;
ch = getchar();
}
while (ch >= '0' && ch <= '9') {
s = s * 10 + ch - '0';
ch = getchar();
}
return s * w;
}
inline void write(int x) {
if (x < 0) putchar('-'), x = -x;
if (x > 9) write(x / 10);
putchar(x % 10 + '0');
}
int main(int argc, char *argv[]) {
n = read(), m = read(), s = read();
for (register int i = 1; i < n; ++i) {
u = read(), v = read();
add(u, v, 1);
add(v, u, 1);
}
vis[s] = true;
dfs(s, 0);
for (register int i = 1; i <= m; ++i) {
x = read(), y = read();
write(lca(x, y)), putchar('\n');
}
return 0;
}
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