oj.uz

Submission #1082759

# Submission time Handle Problem Language Result Execution time Memory
1082759 2024-09-01T13:26:44 Z Evirir Capital City (JOI20_capital_city) C++17
11 / 100
 3000 ms 47208 KB 
#include <bits/stdc++.h>
//#include <ext/pb_ds/assoc_container.hpp>
//#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
//using namespace __gnu_pbds;

#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2")
#define setp(x) cout<<fixed<<setprecision(x)
#define sz(x) (int)(x).size()
#define all(x) begin(x), end(x)
#define forn(i,a,b) for(int i=(a);i<(b);i++)
#define fore(i,a,b) for(int i=(a);i<=(b);i++)
#define pb push_back
#define F first
#define S second
#define fbo find_by_order
#define ook order_of_key
typedef long long ll;
typedef long double ld;
typedef pair<ll,ll> ii;
typedef vector<ll> vi;
typedef vector<ii> vii;
//template<typename T>
//using pbds = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
void SD(int t=0){ cout<<"PASSED "<<t<<endl; }
template<typename T> void amax(T &a, T b){ a=max(a,b); }
template<typename T> void amin(T &a, T b){ a=min(a,b); }
struct Hash {
    static uint64_t splitmix64(uint64_t x) {
        // http://xorshift.di.unimi.it/splitmix64.c
        x += 0x9e3779b97f4a7c15;
        x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
        x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
        return x ^ (x >> 31);
    }
    size_t operator()(uint64_t x) const {
        static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
        return splitmix64(x + FIXED_RANDOM);
    }
};

const ll INF = ll(1e18);
const int MOD = 998244353;
const bool DEBUG = 0;
const int MAXN = 100005;
const int LG = 21;

int n,K;
vector<vector<int>> adj;
vector<int> c, sub, cnt;
vector<bool> cvst;

void dfs_sz(int u, int p)
{
    sub[u] = 1;
    for (const auto v : adj[u])
    {
        if (v == p || cvst[v]) continue;
        dfs_sz(v, u);
        sub[u] += sub[v];
    }
}

int centroid(int u, int tot)
{
    int p = -1;
    while (true)
    {
        bool ok = 1;
        for (const auto v : adj[u])
        {
            if (v == p || cvst[v]) continue;
            if (sub[v] * 2 > tot)
            {
                p = u;
                u = v;
                ok = 0;
                break;
            }
        }
        if (ok) return u;
    }
}

unordered_map<int, int, Hash> s;
unordered_map<int, vector<int>, Hash> prt;

void dfs(int u, int p)
{
    s[c[u]]++;
    if (p != -1) prt[c[u]].pb(c[p]);
    for (const auto v : adj[u])
    {
        if (v == p || cvst[u]) continue;
        dfs(v, u);
    }
}

int ans = 1e9;

void solve(int u)
{
    dfs_sz(u, -1);
    int tot = sub[u];
    u = centroid(u, tot);
    s.clear(); prt.clear();
    dfs(u, -1);
    unordered_set<int, Hash> need{c[u]};
    vector<int> q{c[u]};
    while (!q.empty())
    {
        int curc = q.back(); q.pop_back();
        for (const auto x : prt[curc])
        {
            if (need.count(x)) continue;
            need.insert(x);
            q.pb(x);
        }
    }
    bool ok = 1;
    for (const auto x : need)
    {
        if (cnt[x] != s[x])
        {
            ok = 0;
            break;
        }
    }
    if (ok) amin(ans, sz(need) - 1);

    cvst[u] = 1;
    for (const auto v : adj[u])
    {
        if (cvst[v]) continue;
        solve(v);
    }
}

int main()
{
    cin.tie(0)->sync_with_stdio(0);

    cin>>n>>K;
    adj.resize(n);
    c.resize(n);
    cvst.resize(n);
    sub.resize(n);
    cnt.resize(K);

    forn(i,0,n-1)
    {
        int u,v; cin>>u>>v; u--; v--;
        adj[u].pb(v);
        adj[v].pb(u);
    }
    forn(i,0,n)
    {
        cin>>c[i];
        c[i]--;
        cnt[c[i]]++;
    }

    solve(0);
    cout << ans << '\n';

    return 0;
}

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 3 ms 604 KB Output is correct
12 Correct 3 ms 604 KB Output is correct
13 Correct 3 ms 604 KB Output is correct
14 Correct 3 ms 660 KB Output is correct
15 Correct 3 ms 604 KB Output is correct
16 Correct 4 ms 604 KB Output is correct
17 Correct 2 ms 760 KB Output is correct
18 Correct 2 ms 604 KB Output is correct
19 Correct 2 ms 604 KB Output is correct
20 Correct 2 ms 604 KB Output is correct
21 Correct 3 ms 604 KB Output is correct
22 Correct 4 ms 856 KB Output is correct
23 Correct 4 ms 604 KB Output is correct
24 Correct 4 ms 680 KB Output is correct
25 Correct 5 ms 604 KB Output is correct
26 Correct 5 ms 848 KB Output is correct
27 Correct 4 ms 604 KB Output is correct
28 Correct 4 ms 604 KB Output is correct
29 Correct 4 ms 600 KB Output is correct
30 Correct 4 ms 856 KB Output is correct

Subtask #3
0 / 30.0

# Verdict Execution time Memory Grader output
1 Execution timed out 3063 ms 47208 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #4
0 / 59.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 3 ms 604 KB Output is correct
12 Correct 3 ms 604 KB Output is correct
13 Correct 3 ms 604 KB Output is correct
14 Correct 3 ms 660 KB Output is correct
15 Correct 3 ms 604 KB Output is correct
16 Correct 4 ms 604 KB Output is correct
17 Correct 2 ms 760 KB Output is correct
18 Correct 2 ms 604 KB Output is correct
19 Correct 2 ms 604 KB Output is correct
20 Correct 2 ms 604 KB Output is correct
21 Correct 3 ms 604 KB Output is correct
22 Correct 4 ms 856 KB Output is correct
23 Correct 4 ms 604 KB Output is correct
24 Correct 4 ms 680 KB Output is correct
25 Correct 5 ms 604 KB Output is correct
26 Correct 5 ms 848 KB Output is correct
27 Correct 4 ms 604 KB Output is correct
28 Correct 4 ms 604 KB Output is correct
29 Correct 4 ms 600 KB Output is correct
30 Correct 4 ms 856 KB Output is correct
31 Execution timed out 3063 ms 47208 KB Time limit exceeded
32 Halted 0 ms 0 KB -