oj.uz

Submission #863735

# Submission time Handle Problem Language Result Execution time Memory
863735 2023-10-20T19:02:34 Z Mizo_Compiler Inside information (BOI21_servers) C++17
55 / 100
 3500 ms 38256 KB 
#include <bits/stdc++.h>
using namespace std;
#pragma GCC optimize("Ofast")
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 = 120000;
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], ls[N+N], vid = 0;
bool r[N];
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) {
		if (ls[i] != vid) {
			ls[i] = vid;
			bit[i] = 0;
		}
		bit[i] += val;
		i += (i & -i);
	}
}
 
int get(int i) {
	i++;
	int ret = 0;
	while (i) {
		if (ls[i] != vid) {
			ls[i] = vid;
			bit[i] = 0;
		}
		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);
	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]);
	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);
	}
	vid++;
	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";
		}
	}
}

Subtask #1
2.5 / 2.5

# Verdict Execution time Memory Grader output
1 Correct 18 ms 12752 KB Output is correct
2 Correct 22 ms 12832 KB Output is correct
3 Correct 29 ms 13048 KB Output is correct
4 Correct 21 ms 13012 KB Output is correct
5 Correct 30 ms 13148 KB Output is correct
6 Correct 30 ms 12876 KB Output is correct

Subtask #2
2.5 / 2.5

# Verdict Execution time Memory Grader output
1 Correct 18 ms 12752 KB Output is correct
2 Correct 22 ms 12832 KB Output is correct
3 Correct 29 ms 13048 KB Output is correct
4 Correct 21 ms 13012 KB Output is correct
5 Correct 30 ms 13148 KB Output is correct
6 Correct 30 ms 12876 KB Output is correct
7 Correct 19 ms 13384 KB Output is correct
8 Correct 46 ms 14200 KB Output is correct
9 Correct 30 ms 15372 KB Output is correct
10 Correct 127 ms 14344 KB Output is correct
11 Correct 125 ms 14596 KB Output is correct
12 Correct 28 ms 15372 KB Output is correct

Subtask #3
2.5 / 2.5

# Verdict Execution time Memory Grader output
1 Correct 21 ms 12752 KB Output is correct
2 Correct 74 ms 26112 KB Output is correct
3 Correct 73 ms 26212 KB Output is correct

Subtask #4
2.5 / 2.5

# Verdict Execution time Memory Grader output
1 Correct 21 ms 12752 KB Output is correct
2 Correct 74 ms 26112 KB Output is correct
3 Correct 73 ms 26212 KB Output is correct
4 Correct 20 ms 13412 KB Output is correct
5 Correct 85 ms 28160 KB Output is correct
6 Correct 66 ms 28420 KB Output is correct
7 Correct 71 ms 28668 KB Output is correct

Subtask #5
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 12752 KB Output is correct
2 Correct 79 ms 34540 KB Output is correct
3 Correct 95 ms 34784 KB Output is correct
4 Correct 81 ms 34620 KB Output is correct

Subtask #6
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 12752 KB Output is correct
2 Correct 79 ms 34540 KB Output is correct
3 Correct 95 ms 34784 KB Output is correct
4 Correct 81 ms 34620 KB Output is correct
5 Correct 18 ms 13264 KB Output is correct
6 Execution timed out 3567 ms 38256 KB Time limit exceeded
7 Halted 0 ms 0 KB -

Subtask #7
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 12740 KB Output is correct
2 Correct 71 ms 25932 KB Output is correct
3 Correct 80 ms 26624 KB Output is correct

Subtask #8
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 12740 KB Output is correct
2 Correct 71 ms 25932 KB Output is correct
3 Correct 80 ms 26624 KB Output is correct
4 Correct 19 ms 13268 KB Output is correct
5 Execution timed out 3580 ms 29772 KB Time limit exceeded
6 Halted 0 ms 0 KB -

Subtask #9
12.5 / 12.5

# Verdict Execution time Memory Grader output
1 Correct 17 ms 12752 KB Output is correct
2 Correct 82 ms 34552 KB Output is correct
3 Correct 94 ms 34468 KB Output is correct
4 Correct 80 ms 34392 KB Output is correct
5 Correct 19 ms 12748 KB Output is correct
6 Correct 71 ms 25920 KB Output is correct
7 Correct 84 ms 26656 KB Output is correct
8 Correct 105 ms 26964 KB Output is correct
9 Correct 96 ms 26932 KB Output is correct
10 Correct 107 ms 31480 KB Output is correct
11 Correct 118 ms 31132 KB Output is correct

Subtask #10
0 / 12.5

# Verdict Execution time Memory Grader output
1 Correct 17 ms 12752 KB Output is correct
2 Correct 82 ms 34552 KB Output is correct
3 Correct 94 ms 34468 KB Output is correct
4 Correct 80 ms 34392 KB Output is correct
5 Correct 19 ms 12748 KB Output is correct
6 Correct 71 ms 25920 KB Output is correct
7 Correct 84 ms 26656 KB Output is correct
8 Correct 105 ms 26964 KB Output is correct
9 Correct 96 ms 26932 KB Output is correct
10 Correct 107 ms 31480 KB Output is correct
11 Correct 118 ms 31132 KB Output is correct
12 Correct 18 ms 13264 KB Output is correct
13 Execution timed out 3549 ms 37660 KB Time limit exceeded
14 Halted 0 ms 0 KB -

Subtask #11
17.5 / 17.5

# Verdict Execution time Memory Grader output
1 Correct 19 ms 12752 KB Output is correct
2 Correct 22 ms 12756 KB Output is correct
3 Correct 28 ms 13052 KB Output is correct
4 Correct 21 ms 13020 KB Output is correct
5 Correct 29 ms 13316 KB Output is correct
6 Correct 29 ms 12788 KB Output is correct
7 Correct 20 ms 12752 KB Output is correct
8 Correct 73 ms 26108 KB Output is correct
9 Correct 74 ms 26108 KB Output is correct
10 Correct 18 ms 12608 KB Output is correct
11 Correct 81 ms 34560 KB Output is correct
12 Correct 82 ms 34552 KB Output is correct
13 Correct 79 ms 34560 KB Output is correct
14 Correct 19 ms 12748 KB Output is correct
15 Correct 73 ms 26132 KB Output is correct
16 Correct 81 ms 26620 KB Output is correct
17 Correct 109 ms 27108 KB Output is correct
18 Correct 89 ms 26876 KB Output is correct
19 Correct 88 ms 31488 KB Output is correct
20 Correct 100 ms 30720 KB Output is correct
21 Correct 90 ms 26216 KB Output is correct
22 Correct 83 ms 26388 KB Output is correct
23 Correct 95 ms 26616 KB Output is correct
24 Correct 84 ms 26620 KB Output is correct
25 Correct 94 ms 28448 KB Output is correct
26 Correct 78 ms 25844 KB Output is correct
27 Correct 77 ms 25852 KB Output is correct

Subtask #12
0 / 17.5

# Verdict Execution time Memory Grader output
1 Correct 19 ms 12752 KB Output is correct
2 Correct 22 ms 12756 KB Output is correct
3 Correct 28 ms 13052 KB Output is correct
4 Correct 21 ms 13020 KB Output is correct
5 Correct 29 ms 13316 KB Output is correct
6 Correct 29 ms 12788 KB Output is correct
7 Correct 20 ms 12752 KB Output is correct
8 Correct 73 ms 26108 KB Output is correct
9 Correct 74 ms 26108 KB Output is correct
10 Correct 18 ms 12608 KB Output is correct
11 Correct 81 ms 34560 KB Output is correct
12 Correct 82 ms 34552 KB Output is correct
13 Correct 79 ms 34560 KB Output is correct
14 Correct 19 ms 12748 KB Output is correct
15 Correct 73 ms 26132 KB Output is correct
16 Correct 81 ms 26620 KB Output is correct
17 Correct 109 ms 27108 KB Output is correct
18 Correct 89 ms 26876 KB Output is correct
19 Correct 88 ms 31488 KB Output is correct
20 Correct 100 ms 30720 KB Output is correct
21 Correct 90 ms 26216 KB Output is correct
22 Correct 83 ms 26388 KB Output is correct
23 Correct 95 ms 26616 KB Output is correct
24 Correct 84 ms 26620 KB Output is correct
25 Correct 94 ms 28448 KB Output is correct
26 Correct 78 ms 25844 KB Output is correct
27 Correct 77 ms 25852 KB Output is correct
28 Correct 19 ms 13268 KB Output is correct
29 Correct 41 ms 14308 KB Output is correct
30 Correct 30 ms 15372 KB Output is correct
31 Correct 136 ms 14348 KB Output is correct
32 Correct 132 ms 14620 KB Output is correct
33 Correct 28 ms 15428 KB Output is correct
34 Correct 26 ms 13520 KB Output is correct
35 Correct 86 ms 28388 KB Output is correct
36 Correct 70 ms 28532 KB Output is correct
37 Correct 70 ms 28664 KB Output is correct
38 Correct 18 ms 13264 KB Output is correct
39 Execution timed out 3564 ms 37716 KB Time limit exceeded
40 Halted 0 ms 0 KB -