oj.uz

Submission #839867

# Submission time Handle Problem Language Result Execution time Memory
839867 2023-08-30T19:12:28 Z NK_ Capital City (JOI20_capital_city) C++17
11 / 100
 3000 ms 53732 KB 
// Success consists of going from failure to failure without loss of enthusiasm
#include <bits/stdc++.h>
 
using namespace std;
 
#define nl '\n'
#define pb push_back
#define pf push_front
 
#define mp make_pair
#define f first
#define s second
#define sz(x) int(x.size())
 
template<class T> using V = vector<T>;
using pi = pair<int, int>;
using vi = V<int>;
using vpi = V<pi>;
 
using ll = long long;
using pl = pair<ll, ll>;
using vpl = V<pl>;
using vl = V<ll>;
 
using db = long double;
 
template<class T> using pq = priority_queue<T, V<T>, less<T>>;
 
const int MOD = 1e9 + 7;
const ll INFL = ll(1e17);
const int LG = 19;

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

	int N, K; cin >> N >> K;

	V<vi> adj(N), pos(K);

	for(int i = 0; i < N - 1; i++) {
		int u, v; cin >> u >> v; --u, --v;
		adj[u].pb(v); adj[v].pb(u);
	}

	vi A(N); for(auto& x : A) { cin >> x; --x; }

	for(int i = 0; i < N; i++) pos[A[i]].pb(i);

	vi proc(N), sub(N), par(N), rt(N), vis(N), seen(K);

	function<void(int, int)> gen = [&](int u, int p) {
		sub[u] = 1;

		for(auto& v : adj[u]) if (!proc[v] && v != p) {
			gen(v, u);
			sub[u] += sub[v];
		}
	};

	function<void(int, int)> fix = [&](int u, int p) {
		par[u] = p; rt[u] = rt[p];
		for(auto& v : adj[u]) if (!proc[v] && v != p) fix(v, u);
	};

	function<int(int, int, int)> find = [&](int u, int p, int n) {
		for(auto& v : adj[u]) if (!proc[v] && v != p) {
			if (2 * sub[v] > n) return find(v, u, n);
		}
		return u;
	};


	int ans = MOD;
	function<void(int)> decomp = [&](int u) {
		gen(u, u); int c = find(u, u, sub[u]);
		rt[c] = c; fix(c, c);

		// cout << "CENTROID: " << c << endl;

		vi have; 
		vis[c] = 1; have.pb(c); 

		int res = 0;
		for(int i = 0; i < sz(have); i++) {
			int x = have[i];
			// cout << "AT: " << x << endl;

			if (!seen[A[x]]) {
				++res;
				for(auto& y : pos[A[x]]) if (!vis[y]) { 
					if (rt[y] != c) res = MOD;
					have.pb(y); vis[y] = 1;
				}
				
				seen[A[x]] = 1;
			}

			if (!vis[par[x]]) {
				have.pb(par[x]);
				vis[par[x]] = 1;
			}
		}

		for(auto& x : have) vis[x] = 0, seen[A[x]] = 0;

		// cout << "RES: " << res << endl;

		ans = min(ans, res);

		proc[c] = 1;
		for(auto& v : adj[c]) if (!proc[v]) decomp(v);
	};

	decomp(0);

	cout << ans - 1 << nl;

	exit(0-0);
}

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 36 ms 468 KB Output is correct
12 Correct 37 ms 468 KB Output is correct
13 Correct 40 ms 468 KB Output is correct
14 Correct 37 ms 596 KB Output is correct
15 Correct 4 ms 596 KB Output is correct
16 Correct 5 ms 468 KB Output is correct
17 Correct 15 ms 596 KB Output is correct
18 Correct 10 ms 596 KB Output is correct
19 Correct 10 ms 596 KB Output is correct
20 Correct 11 ms 596 KB Output is correct
21 Correct 10 ms 596 KB Output is correct
22 Correct 9 ms 724 KB Output is correct
23 Correct 12 ms 596 KB Output is correct
24 Correct 2 ms 468 KB Output is correct
25 Correct 14 ms 724 KB Output is correct
26 Correct 12 ms 724 KB Output is correct
27 Correct 15 ms 724 KB Output is correct
28 Correct 11 ms 724 KB Output is correct
29 Correct 12 ms 720 KB Output is correct
30 Correct 12 ms 596 KB Output is correct

Subtask #3
0 / 30.0

# Verdict Execution time Memory Grader output
1 Execution timed out 3029 ms 53732 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #4
0 / 59.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 36 ms 468 KB Output is correct
12 Correct 37 ms 468 KB Output is correct
13 Correct 40 ms 468 KB Output is correct
14 Correct 37 ms 596 KB Output is correct
15 Correct 4 ms 596 KB Output is correct
16 Correct 5 ms 468 KB Output is correct
17 Correct 15 ms 596 KB Output is correct
18 Correct 10 ms 596 KB Output is correct
19 Correct 10 ms 596 KB Output is correct
20 Correct 11 ms 596 KB Output is correct
21 Correct 10 ms 596 KB Output is correct
22 Correct 9 ms 724 KB Output is correct
23 Correct 12 ms 596 KB Output is correct
24 Correct 2 ms 468 KB Output is correct
25 Correct 14 ms 724 KB Output is correct
26 Correct 12 ms 724 KB Output is correct
27 Correct 15 ms 724 KB Output is correct
28 Correct 11 ms 724 KB Output is correct
29 Correct 12 ms 720 KB Output is correct
30 Correct 12 ms 596 KB Output is correct
31 Execution timed out 3029 ms 53732 KB Time limit exceeded
32 Halted 0 ms 0 KB -