답안 #863688

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
863688 2023-10-20T17:35:26 Z Mizo_Compiler Inside information (BOI21_servers) C++17
55 / 100
3500 ms 37372 KB
#include <bits/stdc++.h>
using namespace std;
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)continue;
		if (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)continue;
		if (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 32 ms 12884 KB Output is correct
3 Correct 29 ms 13056 KB Output is correct
4 Correct 21 ms 12860 KB Output is correct
5 Correct 40 ms 13064 KB Output is correct
6 Correct 33 ms 12828 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 18 ms 12752 KB Output is correct
2 Correct 32 ms 12884 KB Output is correct
3 Correct 29 ms 13056 KB Output is correct
4 Correct 21 ms 12860 KB Output is correct
5 Correct 40 ms 13064 KB Output is correct
6 Correct 33 ms 12828 KB Output is correct
7 Correct 19 ms 14804 KB Output is correct
8 Correct 45 ms 15368 KB Output is correct
9 Correct 29 ms 15360 KB Output is correct
10 Correct 123 ms 15440 KB Output is correct
11 Correct 121 ms 15644 KB Output is correct
12 Correct 27 ms 15372 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 31 ms 12788 KB Output is correct
2 Correct 74 ms 25596 KB Output is correct
3 Correct 91 ms 25552 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 31 ms 12788 KB Output is correct
2 Correct 74 ms 25596 KB Output is correct
3 Correct 91 ms 25552 KB Output is correct
4 Correct 27 ms 14760 KB Output is correct
5 Correct 115 ms 27756 KB Output is correct
6 Correct 91 ms 28324 KB Output is correct
7 Correct 94 ms 28324 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 27 ms 12748 KB Output is correct
2 Correct 130 ms 34144 KB Output is correct
3 Correct 81 ms 34156 KB Output is correct
4 Correct 90 ms 34136 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 27 ms 12748 KB Output is correct
2 Correct 130 ms 34144 KB Output is correct
3 Correct 81 ms 34156 KB Output is correct
4 Correct 90 ms 34136 KB Output is correct
5 Correct 24 ms 14804 KB Output is correct
6 Execution timed out 3551 ms 37372 KB Time limit exceeded
7 Halted 0 ms 0 KB -
# 결과 실행 시간 메모리 Grader output
1 Correct 18 ms 12740 KB Output is correct
2 Correct 68 ms 25600 KB Output is correct
3 Correct 78 ms 26108 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 18 ms 12740 KB Output is correct
2 Correct 68 ms 25600 KB Output is correct
3 Correct 78 ms 26108 KB Output is correct
4 Correct 19 ms 14800 KB Output is correct
5 Execution timed out 3566 ms 29108 KB Time limit exceeded
6 Halted 0 ms 0 KB -
# 결과 실행 시간 메모리 Grader output
1 Correct 18 ms 12676 KB Output is correct
2 Correct 87 ms 34044 KB Output is correct
3 Correct 87 ms 34176 KB Output is correct
4 Correct 76 ms 34040 KB Output is correct
5 Correct 19 ms 12580 KB Output is correct
6 Correct 74 ms 25452 KB Output is correct
7 Correct 80 ms 26368 KB Output is correct
8 Correct 95 ms 26620 KB Output is correct
9 Correct 85 ms 26364 KB Output is correct
10 Correct 113 ms 31036 KB Output is correct
11 Correct 122 ms 30456 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 18 ms 12676 KB Output is correct
2 Correct 87 ms 34044 KB Output is correct
3 Correct 87 ms 34176 KB Output is correct
4 Correct 76 ms 34040 KB Output is correct
5 Correct 19 ms 12580 KB Output is correct
6 Correct 74 ms 25452 KB Output is correct
7 Correct 80 ms 26368 KB Output is correct
8 Correct 95 ms 26620 KB Output is correct
9 Correct 85 ms 26364 KB Output is correct
10 Correct 113 ms 31036 KB Output is correct
11 Correct 122 ms 30456 KB Output is correct
12 Correct 18 ms 14732 KB Output is correct
13 Execution timed out 3514 ms 37112 KB Time limit exceeded
14 Halted 0 ms 0 KB -
# 결과 실행 시간 메모리 Grader output
1 Correct 18 ms 12748 KB Output is correct
2 Correct 22 ms 12768 KB Output is correct
3 Correct 29 ms 12868 KB Output is correct
4 Correct 22 ms 13020 KB Output is correct
5 Correct 30 ms 13244 KB Output is correct
6 Correct 30 ms 12776 KB Output is correct
7 Correct 20 ms 12752 KB Output is correct
8 Correct 84 ms 25600 KB Output is correct
9 Correct 86 ms 25552 KB Output is correct
10 Correct 17 ms 12752 KB Output is correct
11 Correct 79 ms 34048 KB Output is correct
12 Correct 85 ms 34008 KB Output is correct
13 Correct 76 ms 34088 KB Output is correct
14 Correct 18 ms 12752 KB Output is correct
15 Correct 76 ms 25696 KB Output is correct
16 Correct 79 ms 26108 KB Output is correct
17 Correct 98 ms 26368 KB Output is correct
18 Correct 91 ms 26360 KB Output is correct
19 Correct 97 ms 30832 KB Output is correct
20 Correct 118 ms 30200 KB Output is correct
21 Correct 79 ms 25592 KB Output is correct
22 Correct 94 ms 25592 KB Output is correct
23 Correct 94 ms 26112 KB Output is correct
24 Correct 81 ms 26108 KB Output is correct
25 Correct 90 ms 27920 KB Output is correct
26 Correct 100 ms 25340 KB Output is correct
27 Correct 86 ms 25396 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 18 ms 12748 KB Output is correct
2 Correct 22 ms 12768 KB Output is correct
3 Correct 29 ms 12868 KB Output is correct
4 Correct 22 ms 13020 KB Output is correct
5 Correct 30 ms 13244 KB Output is correct
6 Correct 30 ms 12776 KB Output is correct
7 Correct 20 ms 12752 KB Output is correct
8 Correct 84 ms 25600 KB Output is correct
9 Correct 86 ms 25552 KB Output is correct
10 Correct 17 ms 12752 KB Output is correct
11 Correct 79 ms 34048 KB Output is correct
12 Correct 85 ms 34008 KB Output is correct
13 Correct 76 ms 34088 KB Output is correct
14 Correct 18 ms 12752 KB Output is correct
15 Correct 76 ms 25696 KB Output is correct
16 Correct 79 ms 26108 KB Output is correct
17 Correct 98 ms 26368 KB Output is correct
18 Correct 91 ms 26360 KB Output is correct
19 Correct 97 ms 30832 KB Output is correct
20 Correct 118 ms 30200 KB Output is correct
21 Correct 79 ms 25592 KB Output is correct
22 Correct 94 ms 25592 KB Output is correct
23 Correct 94 ms 26112 KB Output is correct
24 Correct 81 ms 26108 KB Output is correct
25 Correct 90 ms 27920 KB Output is correct
26 Correct 100 ms 25340 KB Output is correct
27 Correct 86 ms 25396 KB Output is correct
28 Correct 18 ms 14804 KB Output is correct
29 Correct 36 ms 15376 KB Output is correct
30 Correct 28 ms 15360 KB Output is correct
31 Correct 125 ms 15468 KB Output is correct
32 Correct 119 ms 15636 KB Output is correct
33 Correct 28 ms 15364 KB Output is correct
34 Correct 23 ms 14792 KB Output is correct
35 Correct 104 ms 27900 KB Output is correct
36 Correct 64 ms 28344 KB Output is correct
37 Correct 75 ms 28180 KB Output is correct
38 Correct 19 ms 14800 KB Output is correct
39 Execution timed out 3556 ms 37108 KB Time limit exceeded
40 Halted 0 ms 0 KB -