oj.uz

Submission #623488

# Submission time Handle Problem Language Result Execution time Memory
623488 2022-08-05T16:54:46 Z welleyth Capital City (JOI20_capital_city) C++17
1 / 100
 3000 ms 40832 KB 
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
using namespace std;

#define int long long
#define mp make_pair
#define pb push_back

#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("avx2")

constexpr int INF = (int)2e18;
constexpr int N = (int)2e5 + 111;
constexpr int md = (int)998244353;
constexpr int mdPower = (int)1e9+7 - 1;
constexpr double eps = 1e-7;

typedef __int128 _uint;
typedef long long ll;

mt19937_64 rnd(time(nullptr));

void add(int& a,int b){
    a += b; if(a >= md) a -= md;
}
void sub(int& a,int b){
    a -= b; while(a < 0) a += md;
}
void add(__int128& a,int b){
    a += b;
}
void sub(__int128& a,int b){
    a -= b;
}

int bpow(int a,int b){
    if(b == 0)
        return 1;
    if(b % 2 == 0){
        int t = bpow(a,b>>1);
        return 1ll*t*t%md;
    }
    return 1ll * a*bpow(a,b-1) % md;
}

int inv(int a){
    return bpow(a,md-2);
}

int fac[N],invfac[N];

void init(){
    fac[0] = 1;
    for(int i = 1; i < N; i++){
        fac[i] = (fac[i-1] * i) % md;
    }
    invfac[N-1] = inv(fac[N-1]);
    for(int i = N-2; i >= 0; i--){
        invfac[i] = (invfac[i+1] * (i+1))%md;
    }
    return;
}

//int C(int n,int k){
//    if(k > n)
//        return 0;
//    return fac[n] * invfac[k] % md * invfac[n-k] % md;
//}
//
//int A(int n,int k){
//    if(k > n)
//        return 0;
//    return fac[n] * invfac[n-k] % md;
//}

vector<int> g[N];
int col[N];
vector<int> cities[N];
int sz[N];
int ans = INF;
bool used[N];
bool choosen[N];
int p[N];
int L[N];
int d[N];

void dfs1(int v,int pr = -1){
    sz[v] = 1;
    for(auto& to : g[v]){
        if(to == pr || used[to])
            continue;
        dfs1(to,v);
        sz[v] += sz[to];
    }
    return;
}

int getCentroid(int v,int n,int pr = -1){
    for(auto& to : g[v]){
        if(to == pr || used[to])
            continue;
        if(sz[to] >= n/2)
            return getCentroid(to,n,v);
    }
    return v;
}

int CNT = 0;
void dfs3(int v,int pr = -1){
    L[v] = CNT;
    for(auto& to : g[v]){
        if(to == pr || used[to])
            continue;
        p[to] = v;
        d[to] = d[v] + 1;
        dfs3(to,v);
    }
    return;
}

void solve(int v,int pr = -1){
    dfs1(v);
    int C = getCentroid(v,sz[v]);
//    cerr << "C = " << C <<s "\n";
    used[C] = true;
    int cur_col = col[C];
    dfs1(C);
    CNT++;
    d[C] = 0;
    dfs3(C);
//    cerr << "ok\n";
    if(!choosen[cur_col]){
        set<int> added_colors;
        added_colors.insert(cur_col);
        set<pair<int,int>> q;
        bool ok = true;
        set<int> visited;
        for(auto& x : cities[cur_col]){
            q.insert(mp(-d[x],x));
            visited.insert(x);
            if(L[x] != CNT){
                ok = false;
                break;
            }
        }
        while(!q.empty() && ok){
            int v = q.begin()->second;
            q.erase(q.begin());
//            cerr << "v = " << v << "\n";
            if(choosen[col[v]]){
                ok = false;
                break;
            }
            if(!added_colors.count(col[v])){
                for(auto& x : cities[col[v]]){
                    if(!visited.count(x)){
                        q.insert(mp(-d[x],x));
                        visited.insert(x);
                    }
                    if(L[x] != CNT){
                        ok = false;
                    }
                }
                added_colors.insert(col[v]);
            }
            if(p[v] > 0 && !visited.count(p[v])){
                q.insert(mp(-d[p[v]],p[v]));
                visited.insert(p[v]);
            }
        }
        if(ok){
            ans = min(ans,(int)added_colors.size()-1);
            choosen[cur_col] = 1;
        }
//        cerr << "v = " << v << ", centroid = " << C << "\n";
    }
    for(auto& to : g[C]){
        if(!used[to]){
            solve(to);
        }
    }
    return;
}

void solve(){
    int n,k;
    cin >> n >> k;

    for(int i = 1; i < n; i++){
        int a,b;
        cin >> a >> b;
        g[a].pb(b);
        g[b].pb(a);
    }

    for(int i = 1; i <= n; i++){
        cin >> col[i];
        cities[col[i]].pb(i);
    }

    solve(1);

    assert(ans != INF);
    cout << ans << "\n";

    return;
}

signed main(){
    ios::sync_with_stdio(false);cin.tie(nullptr);cout.tie(nullptr);
    init();
    int tests = 1;
//    cin >> tests;
    for(int test = 1; test <= tests; test++){
//        cerr << "test = " << test << "\n";
        solve();
    }
    return 0;
}
/**

**/

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 12884 KB Output is correct
2 Correct 8 ms 12884 KB Output is correct
3 Correct 8 ms 12832 KB Output is correct
4 Correct 10 ms 12832 KB Output is correct
5 Correct 8 ms 12884 KB Output is correct
6 Correct 9 ms 12796 KB Output is correct
7 Correct 8 ms 12788 KB Output is correct
8 Correct 8 ms 12860 KB Output is correct
9 Correct 9 ms 12884 KB Output is correct
10 Correct 9 ms 12884 KB Output is correct

Subtask #2
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 12884 KB Output is correct
2 Correct 8 ms 12884 KB Output is correct
3 Correct 8 ms 12832 KB Output is correct
4 Correct 10 ms 12832 KB Output is correct
5 Correct 8 ms 12884 KB Output is correct
6 Correct 9 ms 12796 KB Output is correct
7 Correct 8 ms 12788 KB Output is correct
8 Correct 8 ms 12860 KB Output is correct
9 Correct 9 ms 12884 KB Output is correct
10 Correct 9 ms 12884 KB Output is correct
11 Correct 11 ms 13140 KB Output is correct
12 Correct 12 ms 13180 KB Output is correct
13 Correct 12 ms 13248 KB Output is correct
14 Correct 11 ms 13248 KB Output is correct
15 Correct 10 ms 13076 KB Output is correct
16 Correct 10 ms 13012 KB Output is correct
17 Correct 12 ms 13140 KB Output is correct
18 Correct 11 ms 13220 KB Output is correct
19 Correct 13 ms 13220 KB Output is correct
20 Correct 10 ms 13140 KB Output is correct
21 Correct 12 ms 13140 KB Output is correct
22 Correct 10 ms 13012 KB Output is correct
23 Correct 11 ms 13112 KB Output is correct
24 Correct 13 ms 13088 KB Output is correct
25 Correct 15 ms 13216 KB Output is correct
26 Correct 19 ms 13140 KB Output is correct
27 Correct 14 ms 13212 KB Output is correct
28 Incorrect 15 ms 13204 KB Output isn't correct
29 Halted 0 ms 0 KB -

Subtask #3
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 649 ms 35952 KB Output is correct
2 Correct 235 ms 36120 KB Output is correct
3 Correct 626 ms 35872 KB Output is correct
4 Correct 248 ms 36132 KB Output is correct
5 Correct 635 ms 36232 KB Output is correct
6 Correct 227 ms 36512 KB Output is correct
7 Correct 662 ms 37684 KB Output is correct
8 Correct 283 ms 40128 KB Output is correct
9 Execution timed out 3053 ms 40832 KB Time limit exceeded
10 Halted 0 ms 0 KB -

Subtask #4
0 / 59.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 12884 KB Output is correct
2 Correct 8 ms 12884 KB Output is correct
3 Correct 8 ms 12832 KB Output is correct
4 Correct 10 ms 12832 KB Output is correct
5 Correct 8 ms 12884 KB Output is correct
6 Correct 9 ms 12796 KB Output is correct
7 Correct 8 ms 12788 KB Output is correct
8 Correct 8 ms 12860 KB Output is correct
9 Correct 9 ms 12884 KB Output is correct
10 Correct 9 ms 12884 KB Output is correct
11 Correct 11 ms 13140 KB Output is correct
12 Correct 12 ms 13180 KB Output is correct
13 Correct 12 ms 13248 KB Output is correct
14 Correct 11 ms 13248 KB Output is correct
15 Correct 10 ms 13076 KB Output is correct
16 Correct 10 ms 13012 KB Output is correct
17 Correct 12 ms 13140 KB Output is correct
18 Correct 11 ms 13220 KB Output is correct
19 Correct 13 ms 13220 KB Output is correct
20 Correct 10 ms 13140 KB Output is correct
21 Correct 12 ms 13140 KB Output is correct
22 Correct 10 ms 13012 KB Output is correct
23 Correct 11 ms 13112 KB Output is correct
24 Correct 13 ms 13088 KB Output is correct
25 Correct 15 ms 13216 KB Output is correct
26 Correct 19 ms 13140 KB Output is correct
27 Correct 14 ms 13212 KB Output is correct
28 Incorrect 15 ms 13204 KB Output isn't correct
29 Halted 0 ms 0 KB -