oj.uz

Submission #670798

# Submission time Handle Problem Language Result Execution time Memory
670798 2022-12-10T14:33:31 Z Kahou Capital City (JOI20_capital_city) C++14
11 / 100
 3000 ms 494332 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]];
                        if (h[u] < (1<<x)) continue;
                        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] || !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: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 97 ms 193072 KB Output is correct
2 Correct 100 ms 193100 KB Output is correct
3 Correct 99 ms 193044 KB Output is correct
4 Correct 101 ms 193028 KB Output is correct
5 Correct 105 ms 193028 KB Output is correct
6 Correct 97 ms 193028 KB Output is correct
7 Correct 98 ms 192988 KB Output is correct
8 Correct 99 ms 193080 KB Output is correct
9 Correct 97 ms 193116 KB Output is correct
10 Correct 101 ms 193300 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 97 ms 193072 KB Output is correct
2 Correct 100 ms 193100 KB Output is correct
3 Correct 99 ms 193044 KB Output is correct
4 Correct 101 ms 193028 KB Output is correct
5 Correct 105 ms 193028 KB Output is correct
6 Correct 97 ms 193028 KB Output is correct
7 Correct 98 ms 192988 KB Output is correct
8 Correct 99 ms 193080 KB Output is correct
9 Correct 97 ms 193116 KB Output is correct
10 Correct 101 ms 193300 KB Output is correct
11 Correct 100 ms 194408 KB Output is correct
12 Correct 105 ms 194336 KB Output is correct
13 Correct 104 ms 194404 KB Output is correct
14 Correct 102 ms 194336 KB Output is correct
15 Correct 117 ms 195244 KB Output is correct
16 Correct 105 ms 194888 KB Output is correct
17 Correct 103 ms 195144 KB Output is correct
18 Correct 104 ms 194836 KB Output is correct
19 Correct 104 ms 195076 KB Output is correct
20 Correct 104 ms 195080 KB Output is correct
21 Correct 110 ms 194904 KB Output is correct
22 Correct 103 ms 195404 KB Output is correct
23 Correct 105 ms 195220 KB Output is correct
24 Correct 108 ms 194936 KB Output is correct
25 Correct 103 ms 195132 KB Output is correct
26 Correct 105 ms 195192 KB Output is correct
27 Correct 114 ms 195184 KB Output is correct
28 Correct 107 ms 195136 KB Output is correct
29 Correct 108 ms 195260 KB Output is correct
30 Correct 107 ms 195084 KB Output is correct

Subtask #3
0 / 30.0

# Verdict Execution time Memory Grader output
1 Execution timed out 3119 ms 494332 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #4
0 / 59.0

# Verdict Execution time Memory Grader output
1 Correct 97 ms 193072 KB Output is correct
2 Correct 100 ms 193100 KB Output is correct
3 Correct 99 ms 193044 KB Output is correct
4 Correct 101 ms 193028 KB Output is correct
5 Correct 105 ms 193028 KB Output is correct
6 Correct 97 ms 193028 KB Output is correct
7 Correct 98 ms 192988 KB Output is correct
8 Correct 99 ms 193080 KB Output is correct
9 Correct 97 ms 193116 KB Output is correct
10 Correct 101 ms 193300 KB Output is correct
11 Correct 100 ms 194408 KB Output is correct
12 Correct 105 ms 194336 KB Output is correct
13 Correct 104 ms 194404 KB Output is correct
14 Correct 102 ms 194336 KB Output is correct
15 Correct 117 ms 195244 KB Output is correct
16 Correct 105 ms 194888 KB Output is correct
17 Correct 103 ms 195144 KB Output is correct
18 Correct 104 ms 194836 KB Output is correct
19 Correct 104 ms 195076 KB Output is correct
20 Correct 104 ms 195080 KB Output is correct
21 Correct 110 ms 194904 KB Output is correct
22 Correct 103 ms 195404 KB Output is correct
23 Correct 105 ms 195220 KB Output is correct
24 Correct 108 ms 194936 KB Output is correct
25 Correct 103 ms 195132 KB Output is correct
26 Correct 105 ms 195192 KB Output is correct
27 Correct 114 ms 195184 KB Output is correct
28 Correct 107 ms 195136 KB Output is correct
29 Correct 108 ms 195260 KB Output is correct
30 Correct 107 ms 195084 KB Output is correct
31 Execution timed out 3119 ms 494332 KB Time limit exceeded
32 Halted 0 ms 0 KB -