Submission #916253

# Submission time Handle Problem Language Result Execution time Memory
916253 2024-01-25T14:40:25 Z NK_ Inside information (BOI21_servers) C++17
100 / 100
300 ms 75112 KB
// Success consists of going from failure to failure without loss of enthusiasm
#include <bits/stdc++.h>

using namespace std;

#define nl '\n'
#define sz(x) int(x.size())
#define f first
#define s second
#define mp make_pair
#define pb push_back


#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;

template<class T> using iset = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;

using pi = pair<int, int>;

template<class T> using V = vector<T>;
using vi = V<int>;
using vpi = V<pi>;

const int INF = 1e9;

int main() {
	cin.tie(0)->sync_with_stdio(0);
	
	int N, K; cin >> N >> K;

	V<vpi> adj(N); V<vpi> Q(N);
	for(int i = 0; i < (N + K - 1); i++) {
		char c; cin >> c;
		if (c == 'S') {
			int x, y; cin >> x >> y; --x, --y;
			adj[x].pb(mp(y, i));
			adj[y].pb(mp(x, i));
		}

		if (c == 'C') {
			int x; cin >> x; --x;
			Q[x].pb(mp(i, -1)); // (t, operation type)
		}

		if (c == 'Q') {
			int u, x; cin >> u >> x; --u, --x;
			Q[x].pb(mp(i, u)); // (t, operation type)
		}
	}

	vi T(N, -1);
	function <void(int, int)> gen = [&](int u, int p) {
		for(auto& e : adj[u]) if (e.f != p) {
			T[e.f] = e.s; gen(e.f, u);
		}
	};
	gen(0, -1);

	V<iset<int>> S(1); int cur = 0;

	V<array<int, 3>> his;

	auto rollback = [&]() {
		auto [u, v, swp] = his.back(); his.pop_back();
		// cout << u << " <R> " << v << endl;
		for(auto& p : S[v]) S[u].erase(p);
		if (swp) S[u].swap(S[v]);
	};			

	auto merge = [&](int u, int v) {
		bool swp = 0;
		// cout << u << " <U> " << v << endl;
		if (sz(S[u]) < sz(S[v])) S[u].swap(S[v]), swp = 1;
		for(auto& p : S[v]) S[u].insert(p);
		his.pb({u, v, swp});
	};

	V<string> ans(N + K - 1, "NK");

	function<void(int, int, int)> dfs = [&](int u, int t, int id) {
		vpi chd; sort(begin(adj[u]), end(adj[u]), [&](pi x, pi y) {
			return x.s > y.s;
		});
		
		S.emplace_back(); int nid = ++cur; bool done = 0;
		for(auto& e : adj[u]) if (e.s != t) {
			int v, tv; tie(v, tv) = e;	

			swap(T[u], T[v]);

			if (t > tv) {
				if (!done) merge(id, nid), done = 1;
				S[id].insert(tv);
				int bef = sz(his);
				dfs(v, tv, id);
				int aft = sz(his);
				chd.pb(mp(tv, aft - bef));
			} else {
				S[nid].insert(tv);
				dfs(v, tv, nid);

				// cout << v << " " << nid << " => ";
				// for(auto& x : S[nid]) cout << x << " ";
				// cout << endl;
			}

			swap(T[u], T[v]);

		}

		if (!done) merge(id, nid), done = 1;

		// cout << u << " " << id << " => ";
		// for(auto& x : S[id]) cout << x << " ";
		// cout << endl;

		for(auto& p : Q[u]) {
			if (p.s == -1) {
				// cout << p.f << endl;
				// C -> count entries with t <= T
				ans[p.f] = to_string(S[id].order_of_key(p.f + 1) + 1);
			} else {
				// cout << p.f << " " << p.s << " ==> " << T[p.s] << endl;

				// Q -> check if p.s is connect at tie p.f
				if (p.s == u) ans[p.f] = (T[p.s] <= p.f ? "yes" : "no");
				else ans[p.f] = (T[p.s] <= p.f && S[id].find(T[p.s]) != S[id].end() ? "yes" : "no");
			}
		}	

		// cout << "U: " << id << " " << nid << endl;

		reverse(begin(chd), end(chd));
		for(auto& p : chd) {
			while(p.s--) rollback();
			S[id].erase(p.f); 
		}
	};

	dfs(0, INF, 0);

	for(int i = 0; i < (N + K - 1); i++) {
		if (ans[i] == "NK") continue;
		cout << ans[i] << nl;
	}

	exit(0-0);
}
# Verdict Execution time Memory Grader output
1 Correct 21 ms 5980 KB Output is correct
2 Correct 31 ms 6852 KB Output is correct
3 Correct 32 ms 8252 KB Output is correct
4 Correct 31 ms 8496 KB Output is correct
5 Correct 33 ms 9220 KB Output is correct
6 Correct 35 ms 8532 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 21 ms 5980 KB Output is correct
2 Correct 31 ms 6852 KB Output is correct
3 Correct 32 ms 8252 KB Output is correct
4 Correct 31 ms 8496 KB Output is correct
5 Correct 33 ms 9220 KB Output is correct
6 Correct 35 ms 8532 KB Output is correct
7 Correct 28 ms 7004 KB Output is correct
8 Correct 30 ms 8020 KB Output is correct
9 Correct 29 ms 8020 KB Output is correct
10 Correct 30 ms 8108 KB Output is correct
11 Correct 29 ms 9044 KB Output is correct
12 Correct 32 ms 8020 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 23 ms 6224 KB Output is correct
2 Correct 238 ms 39612 KB Output is correct
3 Correct 235 ms 39940 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 23 ms 6224 KB Output is correct
2 Correct 238 ms 39612 KB Output is correct
3 Correct 235 ms 39940 KB Output is correct
4 Correct 21 ms 5980 KB Output is correct
5 Correct 223 ms 39620 KB Output is correct
6 Correct 155 ms 38708 KB Output is correct
7 Correct 163 ms 39048 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 22 ms 5980 KB Output is correct
2 Correct 205 ms 68532 KB Output is correct
3 Correct 187 ms 68536 KB Output is correct
4 Correct 216 ms 73904 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 22 ms 5980 KB Output is correct
2 Correct 205 ms 68532 KB Output is correct
3 Correct 187 ms 68536 KB Output is correct
4 Correct 216 ms 73904 KB Output is correct
5 Correct 22 ms 6740 KB Output is correct
6 Correct 237 ms 68284 KB Output is correct
7 Correct 194 ms 70076 KB Output is correct
8 Correct 192 ms 68048 KB Output is correct
9 Correct 188 ms 68688 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 22 ms 5980 KB Output is correct
2 Correct 278 ms 75112 KB Output is correct
3 Correct 152 ms 37960 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 22 ms 5980 KB Output is correct
2 Correct 278 ms 75112 KB Output is correct
3 Correct 152 ms 37960 KB Output is correct
4 Correct 22 ms 6744 KB Output is correct
5 Correct 275 ms 73428 KB Output is correct
6 Correct 148 ms 39364 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 23 ms 5980 KB Output is correct
2 Correct 222 ms 68432 KB Output is correct
3 Correct 188 ms 68536 KB Output is correct
4 Correct 217 ms 73660 KB Output is correct
5 Correct 23 ms 6996 KB Output is correct
6 Correct 261 ms 74464 KB Output is correct
7 Correct 144 ms 39620 KB Output is correct
8 Correct 174 ms 40724 KB Output is correct
9 Correct 182 ms 39360 KB Output is correct
10 Correct 264 ms 49676 KB Output is correct
11 Correct 201 ms 45608 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 23 ms 5980 KB Output is correct
2 Correct 222 ms 68432 KB Output is correct
3 Correct 188 ms 68536 KB Output is correct
4 Correct 217 ms 73660 KB Output is correct
5 Correct 23 ms 6996 KB Output is correct
6 Correct 261 ms 74464 KB Output is correct
7 Correct 144 ms 39620 KB Output is correct
8 Correct 174 ms 40724 KB Output is correct
9 Correct 182 ms 39360 KB Output is correct
10 Correct 264 ms 49676 KB Output is correct
11 Correct 201 ms 45608 KB Output is correct
12 Correct 21 ms 6740 KB Output is correct
13 Correct 186 ms 68284 KB Output is correct
14 Correct 199 ms 69800 KB Output is correct
15 Correct 231 ms 68000 KB Output is correct
16 Correct 171 ms 68064 KB Output is correct
17 Correct 21 ms 6948 KB Output is correct
18 Correct 269 ms 73924 KB Output is correct
19 Correct 148 ms 38340 KB Output is correct
20 Correct 196 ms 40392 KB Output is correct
21 Correct 182 ms 39096 KB Output is correct
22 Correct 192 ms 47044 KB Output is correct
23 Correct 238 ms 54464 KB Output is correct
24 Correct 254 ms 55360 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 21 ms 5980 KB Output is correct
2 Correct 31 ms 6928 KB Output is correct
3 Correct 32 ms 8144 KB Output is correct
4 Correct 31 ms 8712 KB Output is correct
5 Correct 31 ms 9300 KB Output is correct
6 Correct 35 ms 8400 KB Output is correct
7 Correct 22 ms 6996 KB Output is correct
8 Correct 240 ms 43192 KB Output is correct
9 Correct 236 ms 41664 KB Output is correct
10 Correct 22 ms 6968 KB Output is correct
11 Correct 196 ms 68540 KB Output is correct
12 Correct 247 ms 68464 KB Output is correct
13 Correct 213 ms 73660 KB Output is correct
14 Correct 22 ms 6996 KB Output is correct
15 Correct 274 ms 75020 KB Output is correct
16 Correct 154 ms 38852 KB Output is correct
17 Correct 172 ms 39156 KB Output is correct
18 Correct 198 ms 38476 KB Output is correct
19 Correct 202 ms 50172 KB Output is correct
20 Correct 204 ms 45508 KB Output is correct
21 Correct 222 ms 42292 KB Output is correct
22 Correct 222 ms 41488 KB Output is correct
23 Correct 204 ms 39108 KB Output is correct
24 Correct 205 ms 40528 KB Output is correct
25 Correct 236 ms 49080 KB Output is correct
26 Correct 172 ms 36292 KB Output is correct
27 Correct 138 ms 34316 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 21 ms 5980 KB Output is correct
2 Correct 31 ms 6928 KB Output is correct
3 Correct 32 ms 8144 KB Output is correct
4 Correct 31 ms 8712 KB Output is correct
5 Correct 31 ms 9300 KB Output is correct
6 Correct 35 ms 8400 KB Output is correct
7 Correct 22 ms 6996 KB Output is correct
8 Correct 240 ms 43192 KB Output is correct
9 Correct 236 ms 41664 KB Output is correct
10 Correct 22 ms 6968 KB Output is correct
11 Correct 196 ms 68540 KB Output is correct
12 Correct 247 ms 68464 KB Output is correct
13 Correct 213 ms 73660 KB Output is correct
14 Correct 22 ms 6996 KB Output is correct
15 Correct 274 ms 75020 KB Output is correct
16 Correct 154 ms 38852 KB Output is correct
17 Correct 172 ms 39156 KB Output is correct
18 Correct 198 ms 38476 KB Output is correct
19 Correct 202 ms 50172 KB Output is correct
20 Correct 204 ms 45508 KB Output is correct
21 Correct 222 ms 42292 KB Output is correct
22 Correct 222 ms 41488 KB Output is correct
23 Correct 204 ms 39108 KB Output is correct
24 Correct 205 ms 40528 KB Output is correct
25 Correct 236 ms 49080 KB Output is correct
26 Correct 172 ms 36292 KB Output is correct
27 Correct 138 ms 34316 KB Output is correct
28 Correct 23 ms 6808 KB Output is correct
29 Correct 32 ms 8020 KB Output is correct
30 Correct 32 ms 7888 KB Output is correct
31 Correct 30 ms 8276 KB Output is correct
32 Correct 30 ms 8868 KB Output is correct
33 Correct 31 ms 8020 KB Output is correct
34 Correct 22 ms 6996 KB Output is correct
35 Correct 224 ms 41744 KB Output is correct
36 Correct 162 ms 40760 KB Output is correct
37 Correct 160 ms 40972 KB Output is correct
38 Correct 22 ms 6740 KB Output is correct
39 Correct 189 ms 68164 KB Output is correct
40 Correct 204 ms 69772 KB Output is correct
41 Correct 206 ms 68032 KB Output is correct
42 Correct 169 ms 68028 KB Output is correct
43 Correct 22 ms 6740 KB Output is correct
44 Correct 300 ms 73544 KB Output is correct
45 Correct 148 ms 38336 KB Output is correct
46 Correct 166 ms 38412 KB Output is correct
47 Correct 184 ms 38852 KB Output is correct
48 Correct 219 ms 46948 KB Output is correct
49 Correct 265 ms 54804 KB Output is correct
50 Correct 268 ms 54900 KB Output is correct
51 Correct 169 ms 42660 KB Output is correct
52 Correct 165 ms 40900 KB Output is correct
53 Correct 146 ms 40120 KB Output is correct
54 Correct 153 ms 40696 KB Output is correct
55 Correct 132 ms 36308 KB Output is correct
56 Correct 180 ms 38340 KB Output is correct
57 Correct 155 ms 45484 KB Output is correct
58 Correct 182 ms 36804 KB Output is correct
59 Correct 144 ms 34496 KB Output is correct