oj.uz

Submission #670793

# Submission time Handle Problem Language Result Execution time Memory
670793 2022-12-10T14:11:42 Z Kahou Capital City (JOI20_capital_city) C++14
11 / 100
 3000 ms 508840 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;
        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() {
        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;
        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]);
        }
        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:78:14: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   78 |         scanf("%d%d", &n, &k);
      |         ~~~~~^~~~~~~~~~~~~~~~
capital_city.cpp:81:22: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   81 |                 scanf("%d%d", &u, &v);
      |                 ~~~~~^~~~~~~~~~~~~~~~
capital_city.cpp:85:22: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   85 |                 scanf("%d", &c[u]);
      |                 ~~~~~^~~~~~~~~~~~~

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 98 ms 193148 KB Output is correct
2 Correct 98 ms 193096 KB Output is correct
3 Correct 99 ms 193028 KB Output is correct
4 Correct 99 ms 193064 KB Output is correct
5 Correct 97 ms 193036 KB Output is correct
6 Correct 97 ms 193080 KB Output is correct
7 Correct 100 ms 193228 KB Output is correct
8 Correct 97 ms 193016 KB Output is correct
9 Correct 96 ms 193144 KB Output is correct
10 Correct 106 ms 193024 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 98 ms 193148 KB Output is correct
2 Correct 98 ms 193096 KB Output is correct
3 Correct 99 ms 193028 KB Output is correct
4 Correct 99 ms 193064 KB Output is correct
5 Correct 97 ms 193036 KB Output is correct
6 Correct 97 ms 193080 KB Output is correct
7 Correct 100 ms 193228 KB Output is correct
8 Correct 97 ms 193016 KB Output is correct
9 Correct 96 ms 193144 KB Output is correct
10 Correct 106 ms 193024 KB Output is correct
11 Correct 108 ms 196312 KB Output is correct
12 Correct 106 ms 196360 KB Output is correct
13 Correct 104 ms 196288 KB Output is correct
14 Correct 105 ms 196340 KB Output is correct
15 Correct 117 ms 196304 KB Output is correct
16 Correct 107 ms 196596 KB Output is correct
17 Correct 105 ms 196352 KB Output is correct
18 Correct 106 ms 196400 KB Output is correct
19 Correct 114 ms 196440 KB Output is correct
20 Correct 107 ms 196460 KB Output is correct
21 Correct 108 ms 196496 KB Output is correct
22 Correct 105 ms 196424 KB Output is correct
23 Correct 110 ms 196512 KB Output is correct
24 Correct 108 ms 196292 KB Output is correct
25 Correct 109 ms 196300 KB Output is correct
26 Correct 111 ms 196336 KB Output is correct
27 Correct 107 ms 196328 KB Output is correct
28 Correct 111 ms 196380 KB Output is correct
29 Correct 109 ms 196348 KB Output is correct
30 Correct 109 ms 196424 KB Output is correct

Subtask #3
0 / 30.0

# Verdict Execution time Memory Grader output
1 Execution timed out 3084 ms 508840 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #4
0 / 59.0

# Verdict Execution time Memory Grader output
1 Correct 98 ms 193148 KB Output is correct
2 Correct 98 ms 193096 KB Output is correct
3 Correct 99 ms 193028 KB Output is correct
4 Correct 99 ms 193064 KB Output is correct
5 Correct 97 ms 193036 KB Output is correct
6 Correct 97 ms 193080 KB Output is correct
7 Correct 100 ms 193228 KB Output is correct
8 Correct 97 ms 193016 KB Output is correct
9 Correct 96 ms 193144 KB Output is correct
10 Correct 106 ms 193024 KB Output is correct
11 Correct 108 ms 196312 KB Output is correct
12 Correct 106 ms 196360 KB Output is correct
13 Correct 104 ms 196288 KB Output is correct
14 Correct 105 ms 196340 KB Output is correct
15 Correct 117 ms 196304 KB Output is correct
16 Correct 107 ms 196596 KB Output is correct
17 Correct 105 ms 196352 KB Output is correct
18 Correct 106 ms 196400 KB Output is correct
19 Correct 114 ms 196440 KB Output is correct
20 Correct 107 ms 196460 KB Output is correct
21 Correct 108 ms 196496 KB Output is correct
22 Correct 105 ms 196424 KB Output is correct
23 Correct 110 ms 196512 KB Output is correct
24 Correct 108 ms 196292 KB Output is correct
25 Correct 109 ms 196300 KB Output is correct
26 Correct 111 ms 196336 KB Output is correct
27 Correct 107 ms 196328 KB Output is correct
28 Correct 111 ms 196380 KB Output is correct
29 Correct 109 ms 196348 KB Output is correct
30 Correct 109 ms 196424 KB Output is correct
31 Execution timed out 3084 ms 508840 KB Time limit exceeded
32 Halted 0 ms 0 KB -