oj.uz

Submission #999176

# Submission time Handle Problem Language Result Execution time Memory
999176 2024-06-15T07:50:21 Z snpmrnhlol Capital City (JOI20_capital_city) C++17
100 / 100
 353 ms 35412 KB 
#include<bits/stdc++.h>
using namespace std;
const int N = 2e5;
const int inf = 2e9;
vector <int> e[N];
int v[N];
int sub[N];
vector <int> pos[N];
bool bad[N];
bool tree[N];
bool vis[N];
bool vis2[N];
int ans = inf;
int pr[N];
void cendecomp(int node){
    int sz = 0;
    int cen = -1,mn = inf;
    auto dfs = [&](auto self, int node, int p) -> void{
        for(auto i:e[node]){
            if(i == p || bad[i])continue;
            self(self, i, node);
        }
        sz++;
    };
    auto dfs2 = [&](auto self, int node, int p) -> void{
        int mx = -1;
        sub[node] = 1;
        for(auto i:e[node]){
            if(i == p || bad[i])continue;
            self(self, i, node);
            sub[node]+=sub[i];
            mx = max(mx,sub[i]);
        }
        mx = max(mx,sz - sub[node]);
        if(mx < mn){
            mn = mx;
            cen = node;
        }
    };
    auto dfs3 = [&](auto self, int node, int p) -> void{
        vis[node] = 0;
        tree[node] = 0;
        vis2[v[node]] = 0;
        for(auto i:e[node]){
            if(i == p || bad[i])continue;
            self(self, i, node);
        }
    };
    auto dfs4 = [&](auto self, int node, int p) -> void{
        pr[node] = p;
        tree[node] = 1;
        for(auto i:e[node]){
            if(i == p || bad[i])continue;
            self(self, i, node);
        }
    };
    dfs(dfs, node, -1);
    dfs2(dfs2, node, -1);
    dfs4(dfs4, cen, -1);
    queue <int> q;
    q.push(cen);
    vis[cen] = 1;
    bool ok = 1;
    int nr = 0;
    while(!q.empty()){
        int x = q.front();
        //cout<<"investigate:"<<x<<'\n';
        q.pop();
        if(!vis2[v[x]]){
            vis2[v[x]] = 1;
            nr++;
            for(auto i:pos[v[x]]){
                if(!tree[i]){
                    ok = 0;
                    break;
                }
                if(tree[i] && !vis[i]){
                    vis[i] = 1;
                    q.push(i);
                }
            }
            if(!ok)break;
        }
        if(pr[x] != -1 && !vis[pr[x]]){
            vis[pr[x]] = 1;
            q.push(pr[x]);
        }
    }
    if(ok){
        ans = min(ans,nr);
    }
    dfs3(dfs3, cen, -1);
    //cout<<cen<<' '<<nr<<' '<<ok<<'\n';
    bad[cen] = 1;
    for(auto i:e[cen]){
        if(!bad[i]){
            cendecomp(i);
        }
    }
}
int main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    int n,k;
    cin>>n>>k;
    for(int i = 0;i < n - 1;i++){
        int u,w;
        cin>>u>>w;
        u--;w--;
        e[u].push_back(w);
        e[w].push_back(u);
    }
    for(int i = 0;i < n;i++){
        cin>>v[i];
        v[i]--;
        pos[v[i]].push_back(i);
    }
    cendecomp(0);
    cout<<ans - 1<<'\n';
    return 0;
}

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12636 KB Output is correct
2 Correct 2 ms 12636 KB Output is correct
3 Correct 2 ms 12636 KB Output is correct
4 Correct 2 ms 12820 KB Output is correct
5 Correct 2 ms 12636 KB Output is correct
6 Correct 2 ms 12816 KB Output is correct
7 Correct 3 ms 12636 KB Output is correct
8 Correct 3 ms 12636 KB Output is correct
9 Correct 2 ms 12636 KB Output is correct
10 Correct 2 ms 12636 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12636 KB Output is correct
2 Correct 2 ms 12636 KB Output is correct
3 Correct 2 ms 12636 KB Output is correct
4 Correct 2 ms 12820 KB Output is correct
5 Correct 2 ms 12636 KB Output is correct
6 Correct 2 ms 12816 KB Output is correct
7 Correct 3 ms 12636 KB Output is correct
8 Correct 3 ms 12636 KB Output is correct
9 Correct 2 ms 12636 KB Output is correct
10 Correct 2 ms 12636 KB Output is correct
11 Correct 5 ms 12832 KB Output is correct
12 Correct 3 ms 12892 KB Output is correct
13 Correct 3 ms 12892 KB Output is correct
14 Correct 5 ms 12892 KB Output is correct
15 Correct 5 ms 12972 KB Output is correct
16 Correct 4 ms 12888 KB Output is correct
17 Correct 5 ms 12892 KB Output is correct
18 Correct 5 ms 12892 KB Output is correct
19 Correct 3 ms 12892 KB Output is correct
20 Correct 3 ms 12972 KB Output is correct
21 Correct 3 ms 12892 KB Output is correct
22 Correct 3 ms 13040 KB Output is correct
23 Correct 3 ms 12892 KB Output is correct
24 Correct 3 ms 12828 KB Output is correct
25 Correct 4 ms 12888 KB Output is correct
26 Correct 4 ms 12892 KB Output is correct
27 Correct 3 ms 12892 KB Output is correct
28 Correct 4 ms 12892 KB Output is correct
29 Correct 3 ms 12892 KB Output is correct
30 Correct 3 ms 12892 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 289 ms 34900 KB Output is correct
2 Correct 149 ms 35328 KB Output is correct
3 Correct 279 ms 34896 KB Output is correct
4 Correct 146 ms 35396 KB Output is correct
5 Correct 274 ms 32848 KB Output is correct
6 Correct 149 ms 35336 KB Output is correct
7 Correct 264 ms 33104 KB Output is correct
8 Correct 143 ms 35280 KB Output is correct
9 Correct 341 ms 31700 KB Output is correct
10 Correct 347 ms 30444 KB Output is correct
11 Correct 336 ms 32232 KB Output is correct
12 Correct 338 ms 33620 KB Output is correct
13 Correct 337 ms 30200 KB Output is correct
14 Correct 312 ms 33872 KB Output is correct
15 Correct 320 ms 33628 KB Output is correct
16 Correct 345 ms 30656 KB Output is correct
17 Correct 353 ms 30992 KB Output is correct
18 Correct 326 ms 31104 KB Output is correct
19 Correct 320 ms 33104 KB Output is correct
20 Correct 336 ms 34384 KB Output is correct
21 Correct 2 ms 12636 KB Output is correct

Subtask #4
59.0 / 59.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12636 KB Output is correct
2 Correct 2 ms 12636 KB Output is correct
3 Correct 2 ms 12636 KB Output is correct
4 Correct 2 ms 12820 KB Output is correct
5 Correct 2 ms 12636 KB Output is correct
6 Correct 2 ms 12816 KB Output is correct
7 Correct 3 ms 12636 KB Output is correct
8 Correct 3 ms 12636 KB Output is correct
9 Correct 2 ms 12636 KB Output is correct
10 Correct 2 ms 12636 KB Output is correct
11 Correct 5 ms 12832 KB Output is correct
12 Correct 3 ms 12892 KB Output is correct
13 Correct 3 ms 12892 KB Output is correct
14 Correct 5 ms 12892 KB Output is correct
15 Correct 5 ms 12972 KB Output is correct
16 Correct 4 ms 12888 KB Output is correct
17 Correct 5 ms 12892 KB Output is correct
18 Correct 5 ms 12892 KB Output is correct
19 Correct 3 ms 12892 KB Output is correct
20 Correct 3 ms 12972 KB Output is correct
21 Correct 3 ms 12892 KB Output is correct
22 Correct 3 ms 13040 KB Output is correct
23 Correct 3 ms 12892 KB Output is correct
24 Correct 3 ms 12828 KB Output is correct
25 Correct 4 ms 12888 KB Output is correct
26 Correct 4 ms 12892 KB Output is correct
27 Correct 3 ms 12892 KB Output is correct
28 Correct 4 ms 12892 KB Output is correct
29 Correct 3 ms 12892 KB Output is correct
30 Correct 3 ms 12892 KB Output is correct
31 Correct 289 ms 34900 KB Output is correct
32 Correct 149 ms 35328 KB Output is correct
33 Correct 279 ms 34896 KB Output is correct
34 Correct 146 ms 35396 KB Output is correct
35 Correct 274 ms 32848 KB Output is correct
36 Correct 149 ms 35336 KB Output is correct
37 Correct 264 ms 33104 KB Output is correct
38 Correct 143 ms 35280 KB Output is correct
39 Correct 341 ms 31700 KB Output is correct
40 Correct 347 ms 30444 KB Output is correct
41 Correct 336 ms 32232 KB Output is correct
42 Correct 338 ms 33620 KB Output is correct
43 Correct 337 ms 30200 KB Output is correct
44 Correct 312 ms 33872 KB Output is correct
45 Correct 320 ms 33628 KB Output is correct
46 Correct 345 ms 30656 KB Output is correct
47 Correct 353 ms 30992 KB Output is correct
48 Correct 326 ms 31104 KB Output is correct
49 Correct 320 ms 33104 KB Output is correct
50 Correct 336 ms 34384 KB Output is correct
51 Correct 2 ms 12636 KB Output is correct
52 Correct 223 ms 24604 KB Output is correct
53 Correct 242 ms 24656 KB Output is correct
54 Correct 242 ms 24784 KB Output is correct
55 Correct 241 ms 24660 KB Output is correct
56 Correct 238 ms 24656 KB Output is correct
57 Correct 244 ms 24660 KB Output is correct
58 Correct 203 ms 26964 KB Output is correct
59 Correct 209 ms 27220 KB Output is correct
60 Correct 257 ms 26964 KB Output is correct
61 Correct 247 ms 26648 KB Output is correct
62 Correct 142 ms 35412 KB Output is correct
63 Correct 141 ms 35360 KB Output is correct
64 Correct 147 ms 35244 KB Output is correct
65 Correct 148 ms 35408 KB Output is correct
66 Correct 167 ms 30368 KB Output is correct
67 Correct 172 ms 30268 KB Output is correct
68 Correct 172 ms 30408 KB Output is correct
69 Correct 184 ms 30412 KB Output is correct
70 Correct 191 ms 30152 KB Output is correct
71 Correct 177 ms 30156 KB Output is correct
72 Correct 169 ms 30216 KB Output is correct
73 Correct 171 ms 29644 KB Output is correct
74 Correct 177 ms 30408 KB Output is correct
75 Correct 178 ms 30408 KB Output is correct
76 Correct 239 ms 29408 KB Output is correct
77 Correct 269 ms 28236 KB Output is correct
78 Correct 339 ms 30948 KB Output is correct
79 Correct 346 ms 29856 KB Output is correct
80 Correct 338 ms 33996 KB Output is correct
81 Correct 336 ms 32024 KB Output is correct
82 Correct 332 ms 32032 KB Output is correct
83 Correct 331 ms 29928 KB Output is correct
84 Correct 340 ms 33496 KB Output is correct
85 Correct 328 ms 32568 KB Output is correct
86 Correct 342 ms 29776 KB Output is correct
87 Correct 326 ms 30800 KB Output is correct
88 Correct 295 ms 31316 KB Output is correct
89 Correct 280 ms 29180 KB Output is correct
90 Correct 300 ms 29012 KB Output is correct
91 Correct 324 ms 30548 KB Output is correct
92 Correct 307 ms 29780 KB Output is correct
93 Correct 313 ms 29364 KB Output is correct
94 Correct 308 ms 29012 KB Output is correct
95 Correct 310 ms 29892 KB Output is correct
96 Correct 306 ms 29008 KB Output is correct
97 Correct 328 ms 30292 KB Output is correct