oj.uz

Submission #595749

# Submission time Handle Problem Language Result Execution time Memory
595749 2022-07-14T05:57:44 Z penguinhacker Capital City (JOI20_capital_city) C++17
11 / 100
 2177 ms 524288 KB 
#include <bits/stdc++.h>
using namespace std;
 
#define ll long long
#define ar array
 
const int mxN=2e5;
int n, k, c[mxN], d[mxN], anc[mxN][18], tin[mxN], t, who[20*mxN], cnt[20*mxN];
vector<int> oc[mxN], adj1[mxN], adj2[mxN], adj3[19*mxN], st;
bool vis[20*mxN], out[20*mxN];
 
void dfs1(int u=0) {
	tin[u]=t++;
	for (int i=1; i<18; ++i)
		anc[u][i]=anc[anc[u][i-1]][i-1];
	for (int v : adj1[u])
		if (v!=anc[u][0]) {
			d[v]=d[u]+1, anc[v][0]=u;
			dfs1(v);
		}
}
 
int lca(int u, int v) {
	if (d[u]>d[v])
		swap(u, v);
	for (int i=17; ~i; --i)
		if (d[v]-(1<<i)>=d[u])
			v=anc[v][i];
	if (u==v)
		return u;
	for (int i=17; ~i; --i)
		if (anc[u][i]!=anc[v][i])
			u=anc[u][i], v=anc[v][i];
	return anc[u][0];
}
 
void dfs2(int u) {
	vis[u]=1;
	if (u<k) {
		for (int v : adj2[u])
			if (!vis[v])
				dfs2(v);
	} else if (u<k+n) {
		if (!vis[c[u-k]])
			dfs2(c[u-k]);
	} else {
		int x=(u-k)%n, l=(u-k)/n;
		if (!vis[u-n])
			dfs2(u-n);
		x=anc[x][l-1];
		if (!vis[k+(l-1)*n+x])
			dfs2(k+(l-1)*n+x);
	}
	st.push_back(u);
}
 
void dfs3(int u, int rt) {
	vis[u]=0, who[u]=rt;
	cnt[rt]+=u<k;
	for (int v : adj3[u])
		if (vis[v])
			dfs3(v, rt);
}
 
void ae(int u, int v) {
	if (u<k)
		adj2[u].push_back(v);
	adj3[v].push_back(u);
}
 
int main() {
	ios::sync_with_stdio(0);
	cin.tie(0);
	cin >> n >> k;
	for (int i=1; i<n; ++i) {
		int u, v;
		cin >> u >> v, --u, --v;
		adj1[u].push_back(v);
		adj1[v].push_back(u);
	}
	for (int i=0; i<n; ++i) {
		cin >> c[i], --c[i];
		oc[c[i]].push_back(i);
	}
	dfs1();
	for (int i=0; i<n; ++i)
		vector<int>().swap(adj1[i]);
	for (int i=0; i<k; ++i) {
		sort(oc[i].begin(), oc[i].end(), [&](int a, int b) { return tin[a]<tin[b]; } );
		for (int j=1; j<oc[i].size(); ++j) {
			int u=oc[i][j-1], v=oc[i][j];
			int uv=lca(u, v);
			ae(i, uv+k);
			for (int rep=0; rep<2; ++rep) {
				for (int j=17; ~j; --j)
					if (d[u]-(1<<j)>=d[uv]) {
						ae(i, j*n+u+k);
						u=anc[u][j];
					}
				swap(u, v);
			}
		}
		vector<int>().swap(oc[i]);
	}
	for (int i=0; i<n; ++i) {
		ae(i+k, c[i]);
		for (int j=1; j<18; ++j) {
			ae(j*n+i+k, (j-1)*n+i+k);
			ae(j*n+i+k, (j-1)*n+anc[i][j-1]+k);
		}
	}
	st.reserve(20*n);
	for (int i=0; i<k+18*n; ++i)
		if (!vis[i])
			dfs2(i);
	for (int i=0; i<k+18*n; ++i)
		vector<int>().swap(adj2[i]);
	reverse(st.begin(), st.end());
	for (int i : st)
		if (vis[i])
			dfs3(i, i);
	for (int i : st)
		for (int j : adj3[i])
			if (who[i]!=who[j])
				out[who[j]]=1;
	int ans=69696969;
	for (int i=0; i<k; ++i)
		if (!out[who[i]])
			ans=min(ans, cnt[who[i]]-1);
	cout << ans;
	return 0;
}

Compilation message

capital_city.cpp: In function 'int main()':
capital_city.cpp:90:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   90 |   for (int j=1; j<oc[i].size(); ++j) {
      |                 ~^~~~~~~~~~~~~

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 48 ms 103628 KB Output is correct
2 Correct 47 ms 103664 KB Output is correct
3 Correct 47 ms 103624 KB Output is correct
4 Correct 48 ms 103628 KB Output is correct
5 Correct 46 ms 103628 KB Output is correct
6 Correct 51 ms 103684 KB Output is correct
7 Correct 58 ms 103616 KB Output is correct
8 Correct 47 ms 103592 KB Output is correct
9 Correct 47 ms 103684 KB Output is correct
10 Correct 47 ms 103732 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 48 ms 103628 KB Output is correct
2 Correct 47 ms 103664 KB Output is correct
3 Correct 47 ms 103624 KB Output is correct
4 Correct 48 ms 103628 KB Output is correct
5 Correct 46 ms 103628 KB Output is correct
6 Correct 51 ms 103684 KB Output is correct
7 Correct 58 ms 103616 KB Output is correct
8 Correct 47 ms 103592 KB Output is correct
9 Correct 47 ms 103684 KB Output is correct
10 Correct 47 ms 103732 KB Output is correct
11 Correct 55 ms 105664 KB Output is correct
12 Correct 61 ms 105684 KB Output is correct
13 Correct 54 ms 105624 KB Output is correct
14 Correct 59 ms 105672 KB Output is correct
15 Correct 56 ms 105564 KB Output is correct
16 Correct 55 ms 105632 KB Output is correct
17 Correct 53 ms 105548 KB Output is correct
18 Correct 61 ms 105624 KB Output is correct
19 Correct 54 ms 105688 KB Output is correct
20 Correct 55 ms 105556 KB Output is correct
21 Correct 54 ms 105676 KB Output is correct
22 Correct 53 ms 105684 KB Output is correct
23 Correct 57 ms 105888 KB Output is correct
24 Correct 61 ms 105548 KB Output is correct
25 Correct 57 ms 105520 KB Output is correct
26 Correct 56 ms 105540 KB Output is correct
27 Correct 55 ms 105552 KB Output is correct
28 Correct 61 ms 105564 KB Output is correct
29 Correct 54 ms 105584 KB Output is correct
30 Correct 54 ms 105620 KB Output is correct

Subtask #3
0 / 30.0

# Verdict Execution time Memory Grader output
1 Runtime error 2177 ms 524288 KB Execution killed with signal 11
2 Halted 0 ms 0 KB -

Subtask #4
0 / 59.0

# Verdict Execution time Memory Grader output
1 Correct 48 ms 103628 KB Output is correct
2 Correct 47 ms 103664 KB Output is correct
3 Correct 47 ms 103624 KB Output is correct
4 Correct 48 ms 103628 KB Output is correct
5 Correct 46 ms 103628 KB Output is correct
6 Correct 51 ms 103684 KB Output is correct
7 Correct 58 ms 103616 KB Output is correct
8 Correct 47 ms 103592 KB Output is correct
9 Correct 47 ms 103684 KB Output is correct
10 Correct 47 ms 103732 KB Output is correct
11 Correct 55 ms 105664 KB Output is correct
12 Correct 61 ms 105684 KB Output is correct
13 Correct 54 ms 105624 KB Output is correct
14 Correct 59 ms 105672 KB Output is correct
15 Correct 56 ms 105564 KB Output is correct
16 Correct 55 ms 105632 KB Output is correct
17 Correct 53 ms 105548 KB Output is correct
18 Correct 61 ms 105624 KB Output is correct
19 Correct 54 ms 105688 KB Output is correct
20 Correct 55 ms 105556 KB Output is correct
21 Correct 54 ms 105676 KB Output is correct
22 Correct 53 ms 105684 KB Output is correct
23 Correct 57 ms 105888 KB Output is correct
24 Correct 61 ms 105548 KB Output is correct
25 Correct 57 ms 105520 KB Output is correct
26 Correct 56 ms 105540 KB Output is correct
27 Correct 55 ms 105552 KB Output is correct
28 Correct 61 ms 105564 KB Output is correct
29 Correct 54 ms 105584 KB Output is correct
30 Correct 54 ms 105620 KB Output is correct
31 Runtime error 2177 ms 524288 KB Execution killed with signal 11
32 Halted 0 ms 0 KB -