oj.uz

Submission #670801

# Submission time Handle Problem Language Result Execution time Memory
670801 2022-12-10T14:48:31 Z Kahou Capital City (JOI20_capital_city) C++14
11 / 100
 3000 ms 482848 KB 
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("avx2")
/* 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;
        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() {
        scanf("%d%d", &n, &k);
        for (int i = 1; i <= n-1; i++) {
                int u, v;
                scanf("%d%d", &u, &v);
                adj[u].push_back(v), adj[v].push_back(u);
        }
        for (int u = 1; u <= n; u++) {
                scanf("%d", &c[u]);
                r[c[u]] = u;
        }
        m = k;
        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]];
                }
        }

        for (int x = 0; x < LG; x++) {
                for (int u = 1; u <= n; u++) {
                        if (h[u] < (1<<x)) continue;
                        id[x][u] = ++m;
                        if (!x) {
                                adj2[0][id[x][u]].push_back(c[u]);
                                adj2[1][c[u]].push_back(id[x][u]);
                        }
                        else {
                                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);
        }

        for (int i = (int)topol.size() - 1; i >= 0; i--) {
                int u = topol[i];
                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] || !cnt[x]) continue;
                ans = min(ans, cnt[x]);
        }
        printf("%d", ans-1);
}

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

Compilation message

capital_city.cpp: In function 'void solve()':
capital_city.cpp:76:14: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   76 |         scanf("%d%d", &n, &k);
      |         ~~~~~^~~~~~~~~~~~~~~~
capital_city.cpp:79:22: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   79 |                 scanf("%d%d", &u, &v);
      |                 ~~~~~^~~~~~~~~~~~~~~~
capital_city.cpp:83:22: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   83 |                 scanf("%d", &c[u]);
      |                 ~~~~~^~~~~~~~~~~~~

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 101 ms 192948 KB Output is correct
2 Correct 107 ms 193008 KB Output is correct
3 Correct 107 ms 193004 KB Output is correct
4 Correct 100 ms 193020 KB Output is correct
5 Correct 103 ms 193008 KB Output is correct
6 Correct 102 ms 192984 KB Output is correct
7 Correct 105 ms 193104 KB Output is correct
8 Correct 100 ms 193012 KB Output is correct
9 Correct 103 ms 192992 KB Output is correct
10 Correct 111 ms 193012 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 101 ms 192948 KB Output is correct
2 Correct 107 ms 193008 KB Output is correct
3 Correct 107 ms 193004 KB Output is correct
4 Correct 100 ms 193020 KB Output is correct
5 Correct 103 ms 193008 KB Output is correct
6 Correct 102 ms 192984 KB Output is correct
7 Correct 105 ms 193104 KB Output is correct
8 Correct 100 ms 193012 KB Output is correct
9 Correct 103 ms 192992 KB Output is correct
10 Correct 111 ms 193012 KB Output is correct
11 Correct 116 ms 193948 KB Output is correct
12 Correct 111 ms 193900 KB Output is correct
13 Correct 110 ms 193856 KB Output is correct
14 Correct 114 ms 193812 KB Output is correct
15 Correct 110 ms 194764 KB Output is correct
16 Correct 110 ms 194608 KB Output is correct
17 Correct 103 ms 194880 KB Output is correct
18 Correct 102 ms 194508 KB Output is correct
19 Correct 106 ms 194696 KB Output is correct
20 Correct 105 ms 194876 KB Output is correct
21 Correct 106 ms 194500 KB Output is correct
22 Correct 104 ms 195100 KB Output is correct
23 Correct 106 ms 194968 KB Output is correct
24 Correct 108 ms 194768 KB Output is correct
25 Correct 109 ms 194936 KB Output is correct
26 Correct 107 ms 194892 KB Output is correct
27 Correct 117 ms 194900 KB Output is correct
28 Correct 106 ms 194888 KB Output is correct
29 Correct 106 ms 194864 KB Output is correct
30 Correct 114 ms 194856 KB Output is correct

Subtask #3
0 / 30.0

# Verdict Execution time Memory Grader output
1 Execution timed out 3091 ms 482848 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #4
0 / 59.0

# Verdict Execution time Memory Grader output
1 Correct 101 ms 192948 KB Output is correct
2 Correct 107 ms 193008 KB Output is correct
3 Correct 107 ms 193004 KB Output is correct
4 Correct 100 ms 193020 KB Output is correct
5 Correct 103 ms 193008 KB Output is correct
6 Correct 102 ms 192984 KB Output is correct
7 Correct 105 ms 193104 KB Output is correct
8 Correct 100 ms 193012 KB Output is correct
9 Correct 103 ms 192992 KB Output is correct
10 Correct 111 ms 193012 KB Output is correct
11 Correct 116 ms 193948 KB Output is correct
12 Correct 111 ms 193900 KB Output is correct
13 Correct 110 ms 193856 KB Output is correct
14 Correct 114 ms 193812 KB Output is correct
15 Correct 110 ms 194764 KB Output is correct
16 Correct 110 ms 194608 KB Output is correct
17 Correct 103 ms 194880 KB Output is correct
18 Correct 102 ms 194508 KB Output is correct
19 Correct 106 ms 194696 KB Output is correct
20 Correct 105 ms 194876 KB Output is correct
21 Correct 106 ms 194500 KB Output is correct
22 Correct 104 ms 195100 KB Output is correct
23 Correct 106 ms 194968 KB Output is correct
24 Correct 108 ms 194768 KB Output is correct
25 Correct 109 ms 194936 KB Output is correct
26 Correct 107 ms 194892 KB Output is correct
27 Correct 117 ms 194900 KB Output is correct
28 Correct 106 ms 194888 KB Output is correct
29 Correct 106 ms 194864 KB Output is correct
30 Correct 114 ms 194856 KB Output is correct
31 Execution timed out 3091 ms 482848 KB Time limit exceeded
32 Halted 0 ms 0 KB -