oj.uz

Submission #261348

# Submission time Handle Problem Language Result Execution time Memory
261348 2020-08-11T16:26:32 Z doowey Capital City (JOI20_capital_city) C++14
100 / 100
 1151 ms 42224 KB 
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef pair<int, int> pii;

#define fi first
#define se second
#define mp make_pair
#define fastIO ios::sync_with_stdio(false);cin.tie(0);cout.tie(0);

const int N = (int)2e5 + 100;
vector<int> Z[N];
vector<int> T[N];
int id[N];
bool ban[N];
int par[N];
int subt[N];

bool now[N];

vector<int> mark;

void dfs(int u, int pr){
    subt[u] = 1;
    now[u]=true;
    mark.push_back(u);
    for(auto x : T[u]){
        if(ban[x] || x == pr) continue;
        dfs(x, u);
        subt[u] += subt[x];
    }
}

int up[N];

void dfs1(int u, int pr){
    up[u] = pr;
    for(auto x : T[u]){
        if(ban[x] || x == pr) continue;
        dfs1(x, u);
    }
}

int fin(int u){
    if(par[u]==u)
        return u;
    return par[u]=fin(par[u]);
}

int res;

void decomp(int node){
    mark.clear();
    dfs(node, -1);
    int pr = -1;
    bool is = true;
    int sz = subt[node];
    while(is){
        is = false;
        for(auto x : T[node]){
            if(x == pr || ban[x]) continue;
            if(subt[x] > sz/2){
                pr = node;
                node = x;
                is = true;
                break;
            }
        }
    }
    dfs1(node, node);
    set<int> has, need;
    need.insert(id[node]);
    int cur = 0;
    bool valid = true;
    int hh;
    while(!need.empty() && valid){
        auto it = need.begin();
        cur ++ ;
        for(auto x : Z[(*it)]){
            if(!now[x]){ // big optimization
                valid=false;
                break;
            }
        }

        if(!valid) break;
        set<int> piss;
        for(auto x : Z[(*it)]){

            hh = x;
            while(hh != node){
                hh=fin(hh);
                if(!need.count(id[hh]) && !has.count(id[hh]) && !piss.count(id[hh])){
                    piss.insert(id[hh]);
                }
                par[hh] = up[hh];
            }
        }
        has.insert(*it);
        need.erase(it);
        for(auto q : piss)
            need.insert(q);
    }
    if(valid){
        res = min(res, cur);
    }
    for(auto q : mark){
        now[q]=false;
        par[q]=q;
    }
    ban[node]=true;
    for(auto x : T[node]){
        if(!ban[x])
            decomp(x);
    }
}

int main(){
    fastIO;
    int n, k;
    cin >> n >> k;
    for(int i =1; i <= n; i ++ )
        par[i]=i;
    res = k;
    int u, v;
    for(int i = 1; i < n; i ++ ){
        cin >> u >> v;
        T[u].push_back(v);
        T[v].push_back(u);
    }
    for(int i = 1; i <= n; i ++ ){
        cin >> id[i];
        Z[id[i]].push_back(i);
    }
    decomp(1);
    cout << res - 1;
    return 0;
}

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 9728 KB Output is correct
2 Correct 9 ms 9728 KB Output is correct
3 Correct 9 ms 9728 KB Output is correct
4 Correct 10 ms 9728 KB Output is correct
5 Correct 8 ms 9728 KB Output is correct
6 Correct 8 ms 9728 KB Output is correct
7 Correct 10 ms 9728 KB Output is correct
8 Correct 14 ms 9728 KB Output is correct
9 Correct 10 ms 9804 KB Output is correct
10 Correct 13 ms 9728 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 9728 KB Output is correct
2 Correct 9 ms 9728 KB Output is correct
3 Correct 9 ms 9728 KB Output is correct
4 Correct 10 ms 9728 KB Output is correct
5 Correct 8 ms 9728 KB Output is correct
6 Correct 8 ms 9728 KB Output is correct
7 Correct 10 ms 9728 KB Output is correct
8 Correct 14 ms 9728 KB Output is correct
9 Correct 10 ms 9804 KB Output is correct
10 Correct 13 ms 9728 KB Output is correct
11 Correct 14 ms 9856 KB Output is correct
12 Correct 16 ms 9888 KB Output is correct
13 Correct 15 ms 9980 KB Output is correct
14 Correct 9 ms 9856 KB Output is correct
15 Correct 11 ms 9984 KB Output is correct
16 Correct 11 ms 9984 KB Output is correct
17 Correct 16 ms 9984 KB Output is correct
18 Correct 9 ms 9984 KB Output is correct
19 Correct 9 ms 9984 KB Output is correct
20 Correct 9 ms 9984 KB Output is correct
21 Correct 18 ms 9984 KB Output is correct
22 Correct 17 ms 10112 KB Output is correct
23 Correct 18 ms 9984 KB Output is correct
24 Correct 12 ms 9984 KB Output is correct
25 Correct 10 ms 9984 KB Output is correct
26 Correct 16 ms 10112 KB Output is correct
27 Correct 10 ms 9984 KB Output is correct
28 Correct 10 ms 9984 KB Output is correct
29 Correct 19 ms 9984 KB Output is correct
30 Correct 10 ms 9984 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 894 ms 36440 KB Output is correct
2 Correct 291 ms 39788 KB Output is correct
3 Correct 906 ms 39028 KB Output is correct
4 Correct 286 ms 39796 KB Output is correct
5 Correct 989 ms 37428 KB Output is correct
6 Correct 287 ms 39720 KB Output is correct
7 Correct 947 ms 38448 KB Output is correct
8 Correct 293 ms 40944 KB Output is correct
9 Correct 1151 ms 38672 KB Output is correct
10 Correct 1121 ms 36680 KB Output is correct
11 Correct 1147 ms 39064 KB Output is correct
12 Correct 1146 ms 41136 KB Output is correct
13 Correct 980 ms 36400 KB Output is correct
14 Correct 857 ms 41384 KB Output is correct
15 Correct 784 ms 41068 KB Output is correct
16 Correct 931 ms 37244 KB Output is correct
17 Correct 923 ms 37608 KB Output is correct
18 Correct 959 ms 37792 KB Output is correct
19 Correct 965 ms 40208 KB Output is correct
20 Correct 1024 ms 42224 KB Output is correct
21 Correct 8 ms 9728 KB Output is correct

Subtask #4
59.0 / 59.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 9728 KB Output is correct
2 Correct 9 ms 9728 KB Output is correct
3 Correct 9 ms 9728 KB Output is correct
4 Correct 10 ms 9728 KB Output is correct
5 Correct 8 ms 9728 KB Output is correct
6 Correct 8 ms 9728 KB Output is correct
7 Correct 10 ms 9728 KB Output is correct
8 Correct 14 ms 9728 KB Output is correct
9 Correct 10 ms 9804 KB Output is correct
10 Correct 13 ms 9728 KB Output is correct
11 Correct 14 ms 9856 KB Output is correct
12 Correct 16 ms 9888 KB Output is correct
13 Correct 15 ms 9980 KB Output is correct
14 Correct 9 ms 9856 KB Output is correct
15 Correct 11 ms 9984 KB Output is correct
16 Correct 11 ms 9984 KB Output is correct
17 Correct 16 ms 9984 KB Output is correct
18 Correct 9 ms 9984 KB Output is correct
19 Correct 9 ms 9984 KB Output is correct
20 Correct 9 ms 9984 KB Output is correct
21 Correct 18 ms 9984 KB Output is correct
22 Correct 17 ms 10112 KB Output is correct
23 Correct 18 ms 9984 KB Output is correct
24 Correct 12 ms 9984 KB Output is correct
25 Correct 10 ms 9984 KB Output is correct
26 Correct 16 ms 10112 KB Output is correct
27 Correct 10 ms 9984 KB Output is correct
28 Correct 10 ms 9984 KB Output is correct
29 Correct 19 ms 9984 KB Output is correct
30 Correct 10 ms 9984 KB Output is correct
31 Correct 894 ms 36440 KB Output is correct
32 Correct 291 ms 39788 KB Output is correct
33 Correct 906 ms 39028 KB Output is correct
34 Correct 286 ms 39796 KB Output is correct
35 Correct 989 ms 37428 KB Output is correct
36 Correct 287 ms 39720 KB Output is correct
37 Correct 947 ms 38448 KB Output is correct
38 Correct 293 ms 40944 KB Output is correct
39 Correct 1151 ms 38672 KB Output is correct
40 Correct 1121 ms 36680 KB Output is correct
41 Correct 1147 ms 39064 KB Output is correct
42 Correct 1146 ms 41136 KB Output is correct
43 Correct 980 ms 36400 KB Output is correct
44 Correct 857 ms 41384 KB Output is correct
45 Correct 784 ms 41068 KB Output is correct
46 Correct 931 ms 37244 KB Output is correct
47 Correct 923 ms 37608 KB Output is correct
48 Correct 959 ms 37792 KB Output is correct
49 Correct 965 ms 40208 KB Output is correct
50 Correct 1024 ms 42224 KB Output is correct
51 Correct 8 ms 9728 KB Output is correct
52 Correct 650 ms 26348 KB Output is correct
53 Correct 676 ms 26348 KB Output is correct
54 Correct 675 ms 26216 KB Output is correct
55 Correct 707 ms 26460 KB Output is correct
56 Correct 666 ms 26344 KB Output is correct
57 Correct 651 ms 26216 KB Output is correct
58 Correct 714 ms 30448 KB Output is correct
59 Correct 623 ms 29548 KB Output is correct
60 Correct 719 ms 28904 KB Output is correct
61 Correct 927 ms 29160 KB Output is correct
62 Correct 259 ms 39784 KB Output is correct
63 Correct 261 ms 39796 KB Output is correct
64 Correct 277 ms 41068 KB Output is correct
65 Correct 248 ms 39912 KB Output is correct
66 Correct 443 ms 32812 KB Output is correct
67 Correct 434 ms 32844 KB Output is correct
68 Correct 451 ms 32808 KB Output is correct
69 Correct 454 ms 32844 KB Output is correct
70 Correct 461 ms 32812 KB Output is correct
71 Correct 464 ms 32808 KB Output is correct
72 Correct 483 ms 32816 KB Output is correct
73 Correct 460 ms 32128 KB Output is correct
74 Correct 394 ms 32808 KB Output is correct
75 Correct 435 ms 32944 KB Output is correct
76 Correct 877 ms 34284 KB Output is correct
77 Correct 856 ms 33260 KB Output is correct
78 Correct 780 ms 37488 KB Output is correct
79 Correct 808 ms 35948 KB Output is correct
80 Correct 870 ms 41580 KB Output is correct
81 Correct 879 ms 38768 KB Output is correct
82 Correct 989 ms 39036 KB Output is correct
83 Correct 976 ms 36460 KB Output is correct
84 Correct 953 ms 41068 KB Output is correct
85 Correct 946 ms 39868 KB Output is correct
86 Correct 840 ms 36080 KB Output is correct
87 Correct 848 ms 37316 KB Output is correct
88 Correct 712 ms 36592 KB Output is correct
89 Correct 716 ms 33520 KB Output is correct
90 Correct 684 ms 33132 KB Output is correct
91 Correct 720 ms 35088 KB Output is correct
92 Correct 781 ms 34096 KB Output is correct
93 Correct 791 ms 33648 KB Output is correct
94 Correct 762 ms 33132 KB Output is correct
95 Correct 694 ms 34408 KB Output is correct
96 Correct 718 ms 33384 KB Output is correct
97 Correct 783 ms 35052 KB Output is correct