oj.uz

Submission #670791

# Submission time Handle Problem Language Result Execution time Memory
670791 2022-12-10T14:07:51 Z Kahou Capital City (JOI20_capital_city) C++14
11 / 100
 3000 ms 507516 KB 
/* In the name of God, aka Allah */
// let this be mytemp.cpp
#include<bits/stdc++.h>
using namespace std;
#define F first
#define S second
#define endl '\n'
#define mk make_pair
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;

const int N = 2e5 + 50, LG = 18, M = 4e6 + 50;
int n, k, c[N], h[N], m, id[LG][N], par[LG][N];
bool mark[M];
bool vis[M];
int scc[M], cnt[M];
int r[N];
vector<int> topol;
vector<int> adj[N], adj2[2][M];
int t;

void dfs(int u, int p) {
        h[u] = h[p]+1;
        par[0][u] = p;
        adj2[0][id[0][u]].push_back(c[u]);
        adj2[1][c[u]].push_back(id[0][u]);
        for (int v:adj[u]) {
                if (v == p) continue;
                dfs(v, u);
        }
}
int LCA(int u, int v) {
        if (h[u] > h[v]) swap(u, v);
        for (int x = LG-1; x >= 0; x--) {
                if ((h[v]-h[u])>>x&1) v = par[x][v];
        }
        for (int x = LG-1; x >= 0; x--) {
                if (par[x][u] != par[x][v]) u = par[x][u], v= par[x][v];
        }
        if (u == v) return u;
        return par[0][u];
}
void add_edge(int u, int v) {
        int x = c[u];
        for (int t = LG-1; t >= 0; t--) {
                if ((h[u]-h[v]+1)>>t&1) {
                        adj2[0][x].push_back(id[t][u]);
                        adj2[1][id[t][u]].push_back(x);
                        u = par[t][u];
                }
        }
}
void dfs2(int u) {
        vis[u] = 1;
        for (int v:adj2[1][u]){
                if (vis[v]) continue;
                dfs2(v);
        }
        topol.push_back(u);
}
void sfd(int u) {
        scc[u] = t;
        for (int v:adj2[0][u]) {
                if (scc[v]) {
                        mark[t] = mark[t] || (scc[v] != t);
                        continue;
                }
                sfd(v);
        }
}

void solve() {
        cin >> n >> k;
        for (int i = 1; i <= n-1; i++) {
                int u, v;
                cin >> u >> v;
                adj[u].push_back(v), adj[v].push_back(u);
        }
        for (int u = 1; u <= n; u++) {
                cin >> c[u];
                r[c[u]] = u;
        }
        m = k;
        for (int x = 0; x < LG; x++) {
                for (int u = 1; u <= n; u++) {
                        id[x][u] = ++m;
                }
        }
        dfs(1, 0);
        for (int x = 1; x < LG; x++) {
                for (int u = 1; u <= n; u++) {
                        par[x][u] = par[x-1][par[x-1][u]];
                        adj2[0][id[x][u]].push_back(id[x-1][u]);
                        adj2[0][id[x][u]].push_back(id[x-1][par[x-1][u]]);
                        adj2[1][id[x-1][u]].push_back(id[x][u]);
                        adj2[1][id[x-1][par[x-1][u]]].push_back(id[x][u]);
                }
        }
        for (int u = 1; u <= n; u++) {
                r[c[u]] = LCA(r[c[u]], u);
        }
        for (int u = 1; u <= n; u++) {
                add_edge(u, r[c[u]]);
        }
        for (int u = 1; u <= m; u++) {
                if (!vis[u]) dfs2(u);
        }
        while (topol.size()) {
                int u = topol.back();
                topol.pop_back();
                if (scc[u]) continue;
                t++;
                sfd(u);
        }
        for (int x = 1; x <= k; x++) {
                cnt[scc[x]]++;
        }

        int ans = N;
        for (int x = 1; x <= t; x++) {
                if (mark[x]) continue;
                ans = min(ans, cnt[x]);
        }
        cout << ans-1 << endl;
}

int main() {
        ios::sync_with_stdio(0), cin.tie(0), cout.tie(0);
        solve();
        return 0;
}

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 104 ms 193076 KB Output is correct
2 Correct 105 ms 193052 KB Output is correct
3 Correct 100 ms 193076 KB Output is correct
4 Correct 97 ms 193116 KB Output is correct
5 Correct 96 ms 193060 KB Output is correct
6 Correct 96 ms 193152 KB Output is correct
7 Correct 96 ms 193180 KB Output is correct
8 Correct 91 ms 193080 KB Output is correct
9 Correct 94 ms 193100 KB Output is correct
10 Correct 95 ms 193068 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 104 ms 193076 KB Output is correct
2 Correct 105 ms 193052 KB Output is correct
3 Correct 100 ms 193076 KB Output is correct
4 Correct 97 ms 193116 KB Output is correct
5 Correct 96 ms 193060 KB Output is correct
6 Correct 96 ms 193152 KB Output is correct
7 Correct 96 ms 193180 KB Output is correct
8 Correct 91 ms 193080 KB Output is correct
9 Correct 94 ms 193100 KB Output is correct
10 Correct 95 ms 193068 KB Output is correct
11 Correct 106 ms 196424 KB Output is correct
12 Correct 102 ms 196448 KB Output is correct
13 Correct 104 ms 196468 KB Output is correct
14 Correct 109 ms 196364 KB Output is correct
15 Correct 103 ms 196348 KB Output is correct
16 Correct 104 ms 196456 KB Output is correct
17 Correct 102 ms 196476 KB Output is correct
18 Correct 103 ms 196420 KB Output is correct
19 Correct 100 ms 196496 KB Output is correct
20 Correct 101 ms 196488 KB Output is correct
21 Correct 103 ms 196500 KB Output is correct
22 Correct 103 ms 196616 KB Output is correct
23 Correct 112 ms 196448 KB Output is correct
24 Correct 102 ms 196300 KB Output is correct
25 Correct 103 ms 196356 KB Output is correct
26 Correct 105 ms 196368 KB Output is correct
27 Correct 106 ms 196436 KB Output is correct
28 Correct 103 ms 196464 KB Output is correct
29 Correct 104 ms 196424 KB Output is correct
30 Correct 107 ms 196420 KB Output is correct

Subtask #3
0 / 30.0

# Verdict Execution time Memory Grader output
1 Execution timed out 3077 ms 507516 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #4
0 / 59.0

# Verdict Execution time Memory Grader output
1 Correct 104 ms 193076 KB Output is correct
2 Correct 105 ms 193052 KB Output is correct
3 Correct 100 ms 193076 KB Output is correct
4 Correct 97 ms 193116 KB Output is correct
5 Correct 96 ms 193060 KB Output is correct
6 Correct 96 ms 193152 KB Output is correct
7 Correct 96 ms 193180 KB Output is correct
8 Correct 91 ms 193080 KB Output is correct
9 Correct 94 ms 193100 KB Output is correct
10 Correct 95 ms 193068 KB Output is correct
11 Correct 106 ms 196424 KB Output is correct
12 Correct 102 ms 196448 KB Output is correct
13 Correct 104 ms 196468 KB Output is correct
14 Correct 109 ms 196364 KB Output is correct
15 Correct 103 ms 196348 KB Output is correct
16 Correct 104 ms 196456 KB Output is correct
17 Correct 102 ms 196476 KB Output is correct
18 Correct 103 ms 196420 KB Output is correct
19 Correct 100 ms 196496 KB Output is correct
20 Correct 101 ms 196488 KB Output is correct
21 Correct 103 ms 196500 KB Output is correct
22 Correct 103 ms 196616 KB Output is correct
23 Correct 112 ms 196448 KB Output is correct
24 Correct 102 ms 196300 KB Output is correct
25 Correct 103 ms 196356 KB Output is correct
26 Correct 105 ms 196368 KB Output is correct
27 Correct 106 ms 196436 KB Output is correct
28 Correct 103 ms 196464 KB Output is correct
29 Correct 104 ms 196424 KB Output is correct
30 Correct 107 ms 196420 KB Output is correct
31 Execution timed out 3077 ms 507516 KB Time limit exceeded
32 Halted 0 ms 0 KB -