oj.uz

Submission #921465

# Submission time Handle Problem Language Result Execution time Memory
921465 2024-02-03T22:41:59 Z lolismek Capital City (JOI20_capital_city) C++14
100 / 100
 735 ms 44008 KB 
#include <algorithm>
#include <iostream>
#include <climits>
#include <vector>
#include <deque>
#include <queue>
#include <stack>
#include <map>
#include <set>

#include <iomanip>
#include <cassert>

#include <random>
#include <chrono>

#include <unordered_set>
#include <unordered_map>

// #pragma GCC optimize("O3,unroll-loops")
// #pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")

using ull = unsigned long long;
using ll = long long;

//#define int __int128
//#define int ll
#define pii pair <int, int>
#define all(a) (a).begin(), (a).end()
#define fr first
#define sc second
#define pb push_back
#define lb lower_bound
#define ub upper_bound

#define vt vector
#define FOR(a, b) for(int i = (a); i <= (b); i++)
#define FORr(a, b) for(int i = (a); i >= (b); i--)
#define sz(x) (int)(x).size()

#define YES cout << "YES\n"
#define NO cout << "NO\n"

using namespace std;

mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

int rangerng(int l, int r){
    return uniform_int_distribution<>(l, r)(rng);
}

////////////////////////////////////////////////////////////////////////////////////

const int NMAX = 2e5;

int c[NMAX + 1];
vt <int> adj[NMAX + 1];

int sz[NMAX + 1];
bool proc[NMAX + 1];

int f[NMAX + 1];

void recalc_sz(int node, int par){
    sz[node] = 1;

    for(int child : adj[node]){
        if(!proc[child] && child != par){
            recalc_sz(child, node);
            sz[node] += sz[child];
        }
    }
}

int get_centroid(int node, int par, int lim){
    for(int child : adj[node]){
        if(!proc[child] && child != par && sz[child] > lim){
            return get_centroid(child, node, lim);
        }
    }
    return node;
}

int parent[NMAX + 1];
vt <int> inds[NMAX + 1];

void dfs(int node, int par){
    parent[node] = par;
    inds[c[node]].clear();
    for(int vec : adj[node]){
        if(!proc[vec] && vec != par){
            dfs(vec, node);
        }
    }
}

void dfs2(int node, int par){
    inds[c[node]].pb(node);
    for(int vec : adj[node]){
        if(!proc[vec] && vec != par){
            dfs2(vec, node);
        }
    }
}

int mini = 1e9;
void decomp(int node){
    recalc_sz(node, 0);
    int centroid = get_centroid(node, 0, sz[node] / 2);
    proc[centroid] = true;

    dfs(centroid, 0);
    dfs2(centroid, 0);

    queue <int> Q;
    unordered_set <int> S;
    Q.push(c[centroid]);
    S.insert(c[centroid]);

    

    int adds = 1;
    bool ok = 1;
    while(!Q.empty()){
        int col = Q.front();
        Q.pop();

        if(f[col] != sz(inds[col])){
            ok = 0;
        }

        for(int node : inds[col]){
            if(node != centroid && S.find(c[parent[node]]) == S.end()){
                S.insert(c[parent[node]]);
                Q.push(c[parent[node]]);
                adds++;
            }
        }
    }

    if(ok){
        mini = min(mini, adds - 1);
    }

    for(int vec : adj[centroid]){
        if(!proc[vec]){
            decomp(vec);
        }
    }
}   

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

    FOR(1, n - 1){
        int a, b;
        cin >> a >> b;
        adj[a].pb(b);
        adj[b].pb(a);
    }

    FOR(1, n){
        cin >> c[i];
        f[c[i]]++;
    }    

    decomp(1);

    cout << mini << endl;
}   


signed main(){

    //ios_base::sync_with_stdio(false);
    //cin.tie(0);

    int T;
    //cin >> T;
    T = 1;

    while(T--){
        solve();
    }

    return 0;
}

/*
12 4
7 9
1 3
4 6
2 4
10 12
1 2
2 10
11 1
2 8
5 3
6 7
3
1
1
2
4
3
3
2
2
3
4
4
*/

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 12892 KB Output is correct
2 Correct 3 ms 12892 KB Output is correct
3 Correct 3 ms 12892 KB Output is correct
4 Correct 3 ms 12892 KB Output is correct
5 Correct 3 ms 12892 KB Output is correct
6 Correct 3 ms 12892 KB Output is correct
7 Correct 3 ms 12892 KB Output is correct
8 Correct 3 ms 12892 KB Output is correct
9 Correct 3 ms 12892 KB Output is correct
10 Correct 3 ms 12888 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 12892 KB Output is correct
2 Correct 3 ms 12892 KB Output is correct
3 Correct 3 ms 12892 KB Output is correct
4 Correct 3 ms 12892 KB Output is correct
5 Correct 3 ms 12892 KB Output is correct
6 Correct 3 ms 12892 KB Output is correct
7 Correct 3 ms 12892 KB Output is correct
8 Correct 3 ms 12892 KB Output is correct
9 Correct 3 ms 12892 KB Output is correct
10 Correct 3 ms 12888 KB Output is correct
11 Correct 5 ms 12892 KB Output is correct
12 Correct 5 ms 12892 KB Output is correct
13 Correct 7 ms 12892 KB Output is correct
14 Correct 5 ms 12892 KB Output is correct
15 Correct 5 ms 12892 KB Output is correct
16 Correct 5 ms 12888 KB Output is correct
17 Correct 5 ms 12888 KB Output is correct
18 Correct 5 ms 12892 KB Output is correct
19 Correct 5 ms 12892 KB Output is correct
20 Correct 5 ms 12892 KB Output is correct
21 Correct 4 ms 12892 KB Output is correct
22 Correct 5 ms 13148 KB Output is correct
23 Correct 5 ms 12892 KB Output is correct
24 Correct 5 ms 12892 KB Output is correct
25 Correct 6 ms 13144 KB Output is correct
26 Correct 8 ms 13196 KB Output is correct
27 Correct 6 ms 13148 KB Output is correct
28 Correct 6 ms 13144 KB Output is correct
29 Correct 7 ms 12888 KB Output is correct
30 Correct 5 ms 12892 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 479 ms 37716 KB Output is correct
2 Correct 257 ms 38016 KB Output is correct
3 Correct 482 ms 37376 KB Output is correct
4 Correct 258 ms 38224 KB Output is correct
5 Correct 506 ms 34984 KB Output is correct
6 Correct 259 ms 41884 KB Output is correct
7 Correct 545 ms 39732 KB Output is correct
8 Correct 263 ms 42704 KB Output is correct
9 Correct 628 ms 39688 KB Output is correct
10 Correct 642 ms 37600 KB Output is correct
11 Correct 710 ms 40380 KB Output is correct
12 Correct 707 ms 42936 KB Output is correct
13 Correct 695 ms 37024 KB Output is correct
14 Correct 617 ms 43184 KB Output is correct
15 Correct 632 ms 43172 KB Output is correct
16 Correct 711 ms 38128 KB Output is correct
17 Correct 718 ms 38652 KB Output is correct
18 Correct 634 ms 38728 KB Output is correct
19 Correct 652 ms 41904 KB Output is correct
20 Correct 696 ms 44008 KB Output is correct
21 Correct 3 ms 12892 KB Output is correct

Subtask #4
59.0 / 59.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 12892 KB Output is correct
2 Correct 3 ms 12892 KB Output is correct
3 Correct 3 ms 12892 KB Output is correct
4 Correct 3 ms 12892 KB Output is correct
5 Correct 3 ms 12892 KB Output is correct
6 Correct 3 ms 12892 KB Output is correct
7 Correct 3 ms 12892 KB Output is correct
8 Correct 3 ms 12892 KB Output is correct
9 Correct 3 ms 12892 KB Output is correct
10 Correct 3 ms 12888 KB Output is correct
11 Correct 5 ms 12892 KB Output is correct
12 Correct 5 ms 12892 KB Output is correct
13 Correct 7 ms 12892 KB Output is correct
14 Correct 5 ms 12892 KB Output is correct
15 Correct 5 ms 12892 KB Output is correct
16 Correct 5 ms 12888 KB Output is correct
17 Correct 5 ms 12888 KB Output is correct
18 Correct 5 ms 12892 KB Output is correct
19 Correct 5 ms 12892 KB Output is correct
20 Correct 5 ms 12892 KB Output is correct
21 Correct 4 ms 12892 KB Output is correct
22 Correct 5 ms 13148 KB Output is correct
23 Correct 5 ms 12892 KB Output is correct
24 Correct 5 ms 12892 KB Output is correct
25 Correct 6 ms 13144 KB Output is correct
26 Correct 8 ms 13196 KB Output is correct
27 Correct 6 ms 13148 KB Output is correct
28 Correct 6 ms 13144 KB Output is correct
29 Correct 7 ms 12888 KB Output is correct
30 Correct 5 ms 12892 KB Output is correct
31 Correct 479 ms 37716 KB Output is correct
32 Correct 257 ms 38016 KB Output is correct
33 Correct 482 ms 37376 KB Output is correct
34 Correct 258 ms 38224 KB Output is correct
35 Correct 506 ms 34984 KB Output is correct
36 Correct 259 ms 41884 KB Output is correct
37 Correct 545 ms 39732 KB Output is correct
38 Correct 263 ms 42704 KB Output is correct
39 Correct 628 ms 39688 KB Output is correct
40 Correct 642 ms 37600 KB Output is correct
41 Correct 710 ms 40380 KB Output is correct
42 Correct 707 ms 42936 KB Output is correct
43 Correct 695 ms 37024 KB Output is correct
44 Correct 617 ms 43184 KB Output is correct
45 Correct 632 ms 43172 KB Output is correct
46 Correct 711 ms 38128 KB Output is correct
47 Correct 718 ms 38652 KB Output is correct
48 Correct 634 ms 38728 KB Output is correct
49 Correct 652 ms 41904 KB Output is correct
50 Correct 696 ms 44008 KB Output is correct
51 Correct 3 ms 12892 KB Output is correct
52 Correct 395 ms 26284 KB Output is correct
53 Correct 430 ms 26452 KB Output is correct
54 Correct 370 ms 26372 KB Output is correct
55 Correct 500 ms 26260 KB Output is correct
56 Correct 478 ms 26388 KB Output is correct
57 Correct 428 ms 26580 KB Output is correct
58 Correct 422 ms 29948 KB Output is correct
59 Correct 369 ms 29264 KB Output is correct
60 Correct 488 ms 28224 KB Output is correct
61 Correct 493 ms 28752 KB Output is correct
62 Correct 270 ms 41928 KB Output is correct
63 Correct 267 ms 41812 KB Output is correct
64 Correct 273 ms 42516 KB Output is correct
65 Correct 264 ms 41808 KB Output is correct
66 Correct 402 ms 33484 KB Output is correct
67 Correct 325 ms 33560 KB Output is correct
68 Correct 335 ms 33576 KB Output is correct
69 Correct 342 ms 33708 KB Output is correct
70 Correct 325 ms 33612 KB Output is correct
71 Correct 364 ms 33400 KB Output is correct
72 Correct 362 ms 33484 KB Output is correct
73 Correct 339 ms 32792 KB Output is correct
74 Correct 400 ms 33520 KB Output is correct
75 Correct 361 ms 33612 KB Output is correct
76 Correct 457 ms 34204 KB Output is correct
77 Correct 409 ms 32940 KB Output is correct
78 Correct 735 ms 38496 KB Output is correct
79 Correct 680 ms 36520 KB Output is correct
80 Correct 656 ms 43668 KB Output is correct
81 Correct 713 ms 39984 KB Output is correct
82 Correct 710 ms 40148 KB Output is correct
83 Correct 644 ms 36784 KB Output is correct
84 Correct 678 ms 42864 KB Output is correct
85 Correct 648 ms 41316 KB Output is correct
86 Correct 659 ms 36732 KB Output is correct
87 Correct 654 ms 38312 KB Output is correct
88 Correct 502 ms 37776 KB Output is correct
89 Correct 531 ms 33876 KB Output is correct
90 Correct 581 ms 33560 KB Output is correct
91 Correct 549 ms 35924 KB Output is correct
92 Correct 570 ms 34844 KB Output is correct
93 Correct 562 ms 34356 KB Output is correct
94 Correct 527 ms 33552 KB Output is correct
95 Correct 598 ms 35408 KB Output is correct
96 Correct 534 ms 34024 KB Output is correct
97 Correct 497 ms 35832 KB Output is correct