oj.uz

Submission #1001922

# Submission time Handle Problem Language Result Execution time Memory
1001922 2024-06-19T08:35:10 Z Unforgettablepl Capital City (JOI20_capital_city) C++17
11 / 100
 697 ms 524288 KB 
#include <bits/stdc++.h>
using namespace std;

#define int long long

void strat1(int n){
    int k;
    cin >> k;
    vector<vector<int>> adj(n+1);
    for(int i=1;i<n;i++){
        int a,b;cin>>a>>b;
        adj[a].emplace_back(b);
        adj[b].emplace_back(a);
    }
    vector<int> col(n+1);
    for(int i=1;i<=n;i++)cin>>col[i];
    vector<int> nodes(k+1);
    function<void(int,int,int)> dfs = [&](int x,int par,int dep){
        nodes[col[x]] = x;
        for(int&i:adj[x])if(i!=par)dfs(i,x,dep+1);
    };
    dfs(1,0,1);
    vector<vector<int>> compoadj(k+1);
    for(int i=1;i<=k;i++){
        set<int> bad;
        function<bool(int,int)> pdfs = [&](int x,int p){
            bool found = col[x]==i;
            for(int&i:adj[x])if(i!=p)if(pdfs(i,x))found=true;
            if(found)bad.insert(col[x]);
            return found;
        };
        pdfs(nodes[i],0);
        for(int x:bad)compoadj[i].emplace_back(x);
    }
    vector<bool> visited(k+1);
    int siz = 0;
    function<void(int)> compodfs = [&](int x){
        if(visited[x])return;
        siz++;
        visited[x]=true;
        for(int&i:compoadj[x])compodfs(i);
    };
    int ans = n;
    for(int i=1;i<=k;i++){
        siz = 0;
        visited = vector<bool>(k+1);
        compodfs(i);
        ans = min(ans,siz-1);
    }
    cout << ans << '\n';
}

int32_t main(){
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    int n;
    cin >> n;
    if(n<=2000){
        strat1(n);
        return 0;
    }
    int k;
    cin >> k;
    vector<vector<int>> adj(n+1);
    for(int i=1;i<n;i++){
        int a,b;cin>>a>>b;
        adj[a].emplace_back(b);
        adj[b].emplace_back(a);
    }
    vector<int> colcor(n+1);
    vector<int> col(n+1);
    for(int i=1;i<=n;i++)cin>>colcor[i];
    function<void(int,int,int)> dfs = [&](int x,int par,int idx){
        col[idx] = colcor[x];
        for(int&i:adj[x])if(i!=par)dfs(i,x,idx+1);
    };
    for(int i=1;i<=n;i++)if(adj[i].size()==1){
        dfs(i,0,1);
        break;
    }
    vector<int> minidx(k+1);
    vector<int> maxidx(k+1);
    for(int i=1;i<=n;i++)maxidx[col[i]]=i;
    for(int i=n;i;i--)minidx[col[i]]=i;
    vector<vector<int>> compoadj(k+1);
    vector<vector<int>> comporevadj(k+1);
    for(int i=1;i<=k;i++){
        for(int x=minidx[i];x<=maxidx[i];x++){
            if(col[x]!=i){
                compoadj[i].emplace_back(col[x]);
                comporevadj[col[x]].emplace_back(i);
                // if(x==minidx[col[x]])x = maxidx[col[x]];
            }
        }
    }
    vector<bool> visited(k+1);
    vector<int> order;
    vector<int> siz(k+1);
    vector<int> mycompo(k+1);
    function<void(int)> topo = [&](int x){
        if(visited[x])return;
        visited[x]=true;
        for(int&i:compoadj[x])topo(i);
        order.emplace_back(x);
    };
    for(int i=1;i<=k;i++)if(!visited[i])topo(i);
    reverse(order.begin(),order.end());
    function<void(int,int)> cr_dfs = [&](int x,int compo){
        if(mycompo[x]){
            if(mycompo[x]!=compo)siz[mycompo[x]]=n+1;
            return;
        }
        siz[compo]++;
        mycompo[x] = compo;
        for(int&i:comporevadj[x])cr_dfs(i,compo);
    };
    int components = 0;
    int ans = n+1;
    for(int i=0;i<k;i++)if(mycompo[order[i]]==0)cr_dfs(order[i],++components);
    for(int i=1;i<=components;i++){
        ans = min(ans,siz[i]-1);
    }
    cout << ans << '\n';
}

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 0 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 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 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 0 ms 348 KB Output is correct
10 Correct 1 ms 344 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 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 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 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 0 ms 348 KB Output is correct
10 Correct 1 ms 344 KB Output is correct
11 Correct 24 ms 736 KB Output is correct
12 Correct 15 ms 600 KB Output is correct
13 Correct 14 ms 600 KB Output is correct
14 Correct 14 ms 720 KB Output is correct
15 Correct 20 ms 860 KB Output is correct
16 Correct 31 ms 1640 KB Output is correct
17 Correct 10 ms 604 KB Output is correct
18 Correct 11 ms 748 KB Output is correct
19 Correct 12 ms 604 KB Output is correct
20 Correct 12 ms 608 KB Output is correct
21 Correct 11 ms 604 KB Output is correct
22 Correct 648 ms 5992 KB Output is correct
23 Correct 597 ms 5864 KB Output is correct
24 Correct 19 ms 600 KB Output is correct
25 Correct 15 ms 856 KB Output is correct
26 Correct 14 ms 876 KB Output is correct
27 Correct 16 ms 928 KB Output is correct
28 Correct 13 ms 852 KB Output is correct
29 Correct 14 ms 860 KB Output is correct
30 Correct 13 ms 880 KB Output is correct

Subtask #3
0 / 30.0

# Verdict Execution time Memory Grader output
1 Runtime error 697 ms 524288 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -

Subtask #4
0 / 59.0

# Verdict Execution time Memory Grader output
1 Correct 0 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 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 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 0 ms 348 KB Output is correct
10 Correct 1 ms 344 KB Output is correct
11 Correct 24 ms 736 KB Output is correct
12 Correct 15 ms 600 KB Output is correct
13 Correct 14 ms 600 KB Output is correct
14 Correct 14 ms 720 KB Output is correct
15 Correct 20 ms 860 KB Output is correct
16 Correct 31 ms 1640 KB Output is correct
17 Correct 10 ms 604 KB Output is correct
18 Correct 11 ms 748 KB Output is correct
19 Correct 12 ms 604 KB Output is correct
20 Correct 12 ms 608 KB Output is correct
21 Correct 11 ms 604 KB Output is correct
22 Correct 648 ms 5992 KB Output is correct
23 Correct 597 ms 5864 KB Output is correct
24 Correct 19 ms 600 KB Output is correct
25 Correct 15 ms 856 KB Output is correct
26 Correct 14 ms 876 KB Output is correct
27 Correct 16 ms 928 KB Output is correct
28 Correct 13 ms 852 KB Output is correct
29 Correct 14 ms 860 KB Output is correct
30 Correct 13 ms 880 KB Output is correct
31 Runtime error 697 ms 524288 KB Execution killed with signal 9
32 Halted 0 ms 0 KB -