oj.uz

Submission #1001787

# Submission time Handle Problem Language Result Execution time Memory
1001787 2024-06-19T07:42:32 Z Unforgettablepl Capital City (JOI20_capital_city) C++17
11 / 100
 619 ms 52172 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[components]-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 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 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 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 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 15 ms 604 KB Output is correct
12 Correct 13 ms 740 KB Output is correct
13 Correct 12 ms 600 KB Output is correct
14 Correct 12 ms 660 KB Output is correct
15 Correct 18 ms 860 KB Output is correct
16 Correct 30 ms 1628 KB Output is correct
17 Correct 9 ms 604 KB Output is correct
18 Correct 10 ms 720 KB Output is correct
19 Correct 11 ms 780 KB Output is correct
20 Correct 10 ms 604 KB Output is correct
21 Correct 10 ms 768 KB Output is correct
22 Correct 619 ms 6228 KB Output is correct
23 Correct 519 ms 5752 KB Output is correct
24 Correct 18 ms 604 KB Output is correct
25 Correct 19 ms 884 KB Output is correct
26 Correct 15 ms 860 KB Output is correct
27 Correct 19 ms 896 KB Output is correct
28 Correct 13 ms 860 KB Output is correct
29 Correct 15 ms 860 KB Output is correct
30 Correct 13 ms 860 KB Output is correct

Subtask #3
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 97 ms 52172 KB Output is correct
2 Correct 67 ms 52120 KB Output is correct
3 Correct 95 ms 52172 KB Output is correct
4 Correct 61 ms 52116 KB Output is correct
5 Correct 84 ms 51152 KB Output is correct
6 Correct 63 ms 51920 KB Output is correct
7 Correct 82 ms 50124 KB Output is correct
8 Correct 65 ms 49968 KB Output is correct
9 Incorrect 88 ms 47556 KB Output isn't correct
10 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 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 15 ms 604 KB Output is correct
12 Correct 13 ms 740 KB Output is correct
13 Correct 12 ms 600 KB Output is correct
14 Correct 12 ms 660 KB Output is correct
15 Correct 18 ms 860 KB Output is correct
16 Correct 30 ms 1628 KB Output is correct
17 Correct 9 ms 604 KB Output is correct
18 Correct 10 ms 720 KB Output is correct
19 Correct 11 ms 780 KB Output is correct
20 Correct 10 ms 604 KB Output is correct
21 Correct 10 ms 768 KB Output is correct
22 Correct 619 ms 6228 KB Output is correct
23 Correct 519 ms 5752 KB Output is correct
24 Correct 18 ms 604 KB Output is correct
25 Correct 19 ms 884 KB Output is correct
26 Correct 15 ms 860 KB Output is correct
27 Correct 19 ms 896 KB Output is correct
28 Correct 13 ms 860 KB Output is correct
29 Correct 15 ms 860 KB Output is correct
30 Correct 13 ms 860 KB Output is correct
31 Correct 97 ms 52172 KB Output is correct
32 Correct 67 ms 52120 KB Output is correct
33 Correct 95 ms 52172 KB Output is correct
34 Correct 61 ms 52116 KB Output is correct
35 Correct 84 ms 51152 KB Output is correct
36 Correct 63 ms 51920 KB Output is correct
37 Correct 82 ms 50124 KB Output is correct
38 Correct 65 ms 49968 KB Output is correct
39 Incorrect 88 ms 47556 KB Output isn't correct
40 Halted 0 ms 0 KB -