답안 #863696

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
863696 2023-10-20T17:40:07 Z Mizo_Compiler Inside information (BOI21_servers) C++17
55 / 100
3500 ms 37208 KB
#include <bits/stdc++.h>
using namespace std;
#pragma GCC optimize("Ofast")
#pragma GCC target("avx2")
typedef long long ll;
typedef double ld;
#define pb push_back
#define sz(x) int(x.size())
#define all(x) x.begin(),x.end()
#define F first
#define S second
const int N = 120001;
int n, pr[N], sz[N], q, dep[N], p[N][17], mn[N], vt[N];
int mx[N], sze[N], bit[N+N], ans[N+N];
bool r[N];
int ar[N];
int cnt = 0;
vector<array<int, 3>> qr;
vector<pair<int, int>> adj[N];
vector<int> c[N];
 
void upd(int i, int val) {
	i++;
	while (i <= q) {
		bit[i] += val;
		i += (i & -i);
	}
}
 
int get(int i) {
	i++;
	int ret = 0;
	while (i) {
		ret += bit[i];
		i -= (i & -i);
	}
	return ret;
}
 
void dfs_sz(int u, int par) {
	sze[u] = 1;
	for (auto &[v, t] : adj[u]) {
		if (r[v] || v == par)continue;
		dfs_sz(v, u);
		sze[u] += sz[v];
	}
}
 
int centroid(int u, int par, int mxsz) {
	for (auto &[v, t] : adj[u]) {
		if (r[v] || v == par)continue;
		if (2*sze[v] > mxsz)return centroid(v, u, mxsz);
	}
	return u;
}
 
int findp(int u) {
	return pr[u] = (pr[u] == u ? u : findp(pr[u]));
}
 
void merge(int u, int v) {
	u = findp(u), v = findp(v);
	if (u == v)return;
	if (sz[u] < sz[v])swap(u, v);
	sz[u] += sz[v];
	pr[v] = u;
}
 
void init(int u, int par) {
	for (auto &[v, t] : adj[u]) {
		if (v == par)continue;
		p[v][0] = u;
		dep[v] = dep[u]+1;
		vt[v] = t;
		mn[v] = (vt[v] < vt[u] ? mn[u] : u);
		mx[v] = (vt[v] > vt[u] ? mx[u] : u);
		for (int i = 1; i < 17; i++) {
			p[v][i] = p[p[v][i-1]][i-1];
		}
		init(v, u);
	}
}
 
int lift(int u, int k) {
	for (int i = 0; i < 17; i++) {
		if ((k & (1 << i)))u = p[u][i];
	}
	return u;
}
 
int lca(int u, int v) {
	if (dep[u] < dep[v])swap(u, v);
	u = lift(u, dep[u]-dep[v]);
	if (u == v)return u;
	for (int i = 16; i >= 0; i--) {
		if (p[u][i] != p[v][i]) {
			u = p[u][i];
			v = p[v][i];
		}
	}
	return p[u][0];
}
 
bool sol(int u, int v) {
	if (findp(u) != findp(v))return false;
	int l = lca(u, v);
	if (dep[mx[u]] > dep[l])return false;
	if (dep[mn[v]] > dep[l])return false;
	if (l == v || l == u)return true;
	u = lift(u, dep[u]-dep[l]-1);
	v = lift(v, dep[v]-dep[l]-1);
	return (vt[v] < vt[u]);
}
int vv;
void dfs(int u, int par, int ls) {
	for (auto &t : c[u]) {
		ans[t] += get(t) + (vv <= t);
	}
	for (auto &[v, t] : adj[u]) {
		if (r[v] || v == par || t > ls)continue;
		dfs(v, u, t);
	}
}
 
void dfs2(int u, int par, int ls) {
	upd(ls, 1);
	ar[cnt++] = ls;
	for (auto &[v, t] : adj[u]) {
		if (r[v] || v == par || t < ls)continue;
		dfs2(v, u, t);
	}
}
 
void cen(int u) {
	dfs_sz(u, u);
	u = centroid(u, u, sze[u]);
	cnt = 0;
	for (auto &[v, t] : adj[u]) {
		if (r[v])continue;
		vv = t;
		dfs(v, u, t);
		dfs2(v, u, t);
	}
	for (auto &t : c[u]) {
		ans[t] += get(t);
	}
	for (int i = 0; i < cnt; i++)upd(ar[i], -1);
	r[u] = true;
	for (auto &[v, t] : adj[u]) {
		if (r[v])continue;
		cen(v);
	}
}
 
int main () {
	ios::sync_with_stdio(false);
	cin.tie(nullptr);
	cin >> n >> q;
	for (int i = 0; i < n; i++) {
		pr[i] = i, sz[i] = 1;
	}
	q += n-1;
	bool ff = true;
	for (int i = 0; i < q; i++) {
		char ch;
		cin >> ch;
		if (ch == 'S') {
			int u, v;
			cin >> u >> v;
			--u, --v;
			qr.pb({0, u, v});
			adj[u].pb({v, i});
			adj[v].pb({u, i});
		} else if (ch == 'Q') {
			int u, v;
			cin >> u >> v;
			--u, --v;
			qr.pb({1, u, v});
		} else {
			ff = false;
			int u;
			cin >> u;
			--u;
			c[u].pb(i);
			qr.pb({2, u, i});
		}
	}
	vt[0] = q+5;
	init(0, 0);
	if (!ff) {
		for (int i = 0; i < n; i++)reverse(all(adj[i]));
		cen(0);
	}
	for (auto &[op, u, v] : qr) {
		if (!op) {
			merge(u, v);
		}
		else if (op == 1) {
			cout << (sol(u, v) ? "yes\n" : "no\n");
		} else {
			cout << ans[v] + 1 << "\n";
		}
	}
}
# 결과 실행 시간 메모리 Grader output
1 Correct 18 ms 12752 KB Output is correct
2 Correct 23 ms 12856 KB Output is correct
3 Correct 30 ms 13056 KB Output is correct
4 Correct 22 ms 12764 KB Output is correct
5 Correct 31 ms 13136 KB Output is correct
6 Correct 29 ms 12784 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 18 ms 12752 KB Output is correct
2 Correct 23 ms 12856 KB Output is correct
3 Correct 30 ms 13056 KB Output is correct
4 Correct 22 ms 12764 KB Output is correct
5 Correct 31 ms 13136 KB Output is correct
6 Correct 29 ms 12784 KB Output is correct
7 Correct 19 ms 14804 KB Output is correct
8 Correct 39 ms 15372 KB Output is correct
9 Correct 31 ms 15364 KB Output is correct
10 Correct 129 ms 15404 KB Output is correct
11 Correct 125 ms 15640 KB Output is correct
12 Correct 27 ms 15368 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 20 ms 12744 KB Output is correct
2 Correct 94 ms 25596 KB Output is correct
3 Correct 81 ms 25596 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 20 ms 12744 KB Output is correct
2 Correct 94 ms 25596 KB Output is correct
3 Correct 81 ms 25596 KB Output is correct
4 Correct 24 ms 14804 KB Output is correct
5 Correct 87 ms 27864 KB Output is correct
6 Correct 69 ms 28412 KB Output is correct
7 Correct 78 ms 28484 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 17 ms 12752 KB Output is correct
2 Correct 89 ms 33992 KB Output is correct
3 Correct 81 ms 34048 KB Output is correct
4 Correct 77 ms 34048 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 17 ms 12752 KB Output is correct
2 Correct 89 ms 33992 KB Output is correct
3 Correct 81 ms 34048 KB Output is correct
4 Correct 77 ms 34048 KB Output is correct
5 Correct 19 ms 14800 KB Output is correct
6 Execution timed out 3552 ms 37024 KB Time limit exceeded
7 Halted 0 ms 0 KB -
# 결과 실행 시간 메모리 Grader output
1 Correct 20 ms 12796 KB Output is correct
2 Correct 90 ms 25544 KB Output is correct
3 Correct 100 ms 26032 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 20 ms 12796 KB Output is correct
2 Correct 90 ms 25544 KB Output is correct
3 Correct 100 ms 26032 KB Output is correct
4 Correct 22 ms 14736 KB Output is correct
5 Execution timed out 3576 ms 29352 KB Time limit exceeded
6 Halted 0 ms 0 KB -
# 결과 실행 시간 메모리 Grader output
1 Correct 18 ms 12752 KB Output is correct
2 Correct 94 ms 34004 KB Output is correct
3 Correct 108 ms 34348 KB Output is correct
4 Correct 79 ms 34048 KB Output is correct
5 Correct 18 ms 12752 KB Output is correct
6 Correct 76 ms 25652 KB Output is correct
7 Correct 122 ms 26052 KB Output is correct
8 Correct 95 ms 26384 KB Output is correct
9 Correct 88 ms 26616 KB Output is correct
10 Correct 109 ms 31228 KB Output is correct
11 Correct 117 ms 30360 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 18 ms 12752 KB Output is correct
2 Correct 94 ms 34004 KB Output is correct
3 Correct 108 ms 34348 KB Output is correct
4 Correct 79 ms 34048 KB Output is correct
5 Correct 18 ms 12752 KB Output is correct
6 Correct 76 ms 25652 KB Output is correct
7 Correct 122 ms 26052 KB Output is correct
8 Correct 95 ms 26384 KB Output is correct
9 Correct 88 ms 26616 KB Output is correct
10 Correct 109 ms 31228 KB Output is correct
11 Correct 117 ms 30360 KB Output is correct
12 Correct 18 ms 14800 KB Output is correct
13 Execution timed out 3537 ms 37112 KB Time limit exceeded
14 Halted 0 ms 0 KB -
# 결과 실행 시간 메모리 Grader output
1 Correct 23 ms 12748 KB Output is correct
2 Correct 22 ms 12768 KB Output is correct
3 Correct 29 ms 13008 KB Output is correct
4 Correct 22 ms 12768 KB Output is correct
5 Correct 30 ms 13244 KB Output is correct
6 Correct 33 ms 12788 KB Output is correct
7 Correct 20 ms 12656 KB Output is correct
8 Correct 74 ms 25600 KB Output is correct
9 Correct 72 ms 25512 KB Output is correct
10 Correct 18 ms 12616 KB Output is correct
11 Correct 93 ms 34032 KB Output is correct
12 Correct 85 ms 34056 KB Output is correct
13 Correct 88 ms 33996 KB Output is correct
14 Correct 18 ms 12752 KB Output is correct
15 Correct 74 ms 25476 KB Output is correct
16 Correct 81 ms 26000 KB Output is correct
17 Correct 92 ms 26368 KB Output is correct
18 Correct 123 ms 26676 KB Output is correct
19 Correct 97 ms 30972 KB Output is correct
20 Correct 104 ms 30172 KB Output is correct
21 Correct 76 ms 25596 KB Output is correct
22 Correct 102 ms 25600 KB Output is correct
23 Correct 79 ms 25944 KB Output is correct
24 Correct 84 ms 26108 KB Output is correct
25 Correct 108 ms 27888 KB Output is correct
26 Correct 76 ms 25340 KB Output is correct
27 Correct 77 ms 25344 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 23 ms 12748 KB Output is correct
2 Correct 22 ms 12768 KB Output is correct
3 Correct 29 ms 13008 KB Output is correct
4 Correct 22 ms 12768 KB Output is correct
5 Correct 30 ms 13244 KB Output is correct
6 Correct 33 ms 12788 KB Output is correct
7 Correct 20 ms 12656 KB Output is correct
8 Correct 74 ms 25600 KB Output is correct
9 Correct 72 ms 25512 KB Output is correct
10 Correct 18 ms 12616 KB Output is correct
11 Correct 93 ms 34032 KB Output is correct
12 Correct 85 ms 34056 KB Output is correct
13 Correct 88 ms 33996 KB Output is correct
14 Correct 18 ms 12752 KB Output is correct
15 Correct 74 ms 25476 KB Output is correct
16 Correct 81 ms 26000 KB Output is correct
17 Correct 92 ms 26368 KB Output is correct
18 Correct 123 ms 26676 KB Output is correct
19 Correct 97 ms 30972 KB Output is correct
20 Correct 104 ms 30172 KB Output is correct
21 Correct 76 ms 25596 KB Output is correct
22 Correct 102 ms 25600 KB Output is correct
23 Correct 79 ms 25944 KB Output is correct
24 Correct 84 ms 26108 KB Output is correct
25 Correct 108 ms 27888 KB Output is correct
26 Correct 76 ms 25340 KB Output is correct
27 Correct 77 ms 25344 KB Output is correct
28 Correct 19 ms 14800 KB Output is correct
29 Correct 41 ms 15336 KB Output is correct
30 Correct 35 ms 15360 KB Output is correct
31 Correct 132 ms 15392 KB Output is correct
32 Correct 132 ms 15564 KB Output is correct
33 Correct 27 ms 15364 KB Output is correct
34 Correct 25 ms 15048 KB Output is correct
35 Correct 84 ms 27800 KB Output is correct
36 Correct 66 ms 28492 KB Output is correct
37 Correct 66 ms 28360 KB Output is correct
38 Correct 18 ms 14800 KB Output is correct
39 Execution timed out 3557 ms 37208 KB Time limit exceeded
40 Halted 0 ms 0 KB -