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Submission #948795

# Submission time Handle Problem Language Result Execution time Memory
948795 2024-03-18T14:30:01 Z lolismek Village (BOI20_village) C++14
75 / 100
 54 ms 16328 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>

// #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 = 1e5;

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

int minAns = 0;
int min_pos[NMAX + 1];

void dfs1(int node, int par){
    for(int vec : adj[node]){
        if(vec != par){
            dfs1(vec, node);
        }
    }

    if(min_pos[node] == node && node != 1){
        swap(min_pos[node], min_pos[par]);
        minAns += 2;
    }
}

int maxAns = 0;
int max_pos[NMAX + 1];

int big[NMAX + 1];

void dfs2(int node, int par){
    big[node] = 1;
    for(int vec : adj[node]){
        if(vec != par){
            dfs2(vec, node);
            big[node] += big[vec];
        }
    }

    maxAns += min(big[node], n - big[node]);
}

int get_centroid(int node, int par){
    for(int vec : adj[node]){
        if(vec != par && big[vec] > n / 2){
            return get_centroid(vec, node);
        }
    }
    return node;
}

vt <int> aux;

void dfs3(int node, int par){
    for(int vec : adj[node]){
        if(vec != par){
            dfs3(vec, node);
        }
    }
    aux.pb(node);
}

void solve(){
    cin >> n;

    for(int i = 1; i <= n - 1; i++){
        int a, b;
        cin >> a >> b;
        adj[a].pb(b);
        adj[b].pb(a);
    }

    for(int i = 1; i <= n; i++){
        min_pos[i] = i;
    }
    dfs1(1, 0);

    if(min_pos[1] == 1){
        int x = adj[1][0];
        swap(min_pos[x], min_pos[1]);
        minAns += 2;
    }

    dfs2(1, 0);
    int centroid = get_centroid(1, 0);

    for(int i = 1; i <= n; i++){
        max_pos[i] = i;
    }

    dfs3(centroid, 0);

    for(int i = 0; i < n / 2; i++){
        swap(max_pos[aux[i]], max_pos[aux[n / 2 + i]]);
    }
    if(max_pos[centroid] == centroid){
        swap(max_pos[centroid], max_pos[adj[centroid][0]]);
    }

    cout << minAns << ' ' << 2 * maxAns << '\n';
    for(int i = 1; i <= n; i++){
        cout << min_pos[i] << ' ';
    }
    cout << '\n';
    for(int i = 1; i <= n; i++){
        cout << max_pos[i] << ' ';
    }
    cout << '\n';
}

signed main(){

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

    int T;
    //cin >> T;

    T = 1;

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

    return 0;
}

/*
4
1 2
2 3
3 4

7
4 2
5 7
3 4
6 3
1 3
4 5


*/

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 3672 KB Output is correct
2 Correct 1 ms 3676 KB Output is correct
3 Correct 1 ms 3676 KB Output is correct
4 Correct 1 ms 3676 KB Output is correct
5 Correct 1 ms 3676 KB Output is correct
6 Correct 1 ms 3676 KB Output is correct
7 Correct 1 ms 3676 KB Output is correct
8 Correct 1 ms 3676 KB Output is correct
9 Correct 1 ms 3676 KB Output is correct
10 Correct 1 ms 3676 KB Output is correct
11 Correct 2 ms 3676 KB Output is correct
12 Correct 2 ms 3672 KB Output is correct
13 Correct 1 ms 3676 KB Output is correct
14 Correct 1 ms 3676 KB Output is correct
15 Correct 2 ms 3672 KB Output is correct
16 Correct 1 ms 3676 KB Output is correct
17 Correct 1 ms 3676 KB Output is correct

Subtask #2
38.0 / 38.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 3672 KB Output is correct
2 Correct 1 ms 3676 KB Output is correct
3 Correct 1 ms 3676 KB Output is correct
4 Correct 1 ms 3676 KB Output is correct
5 Correct 1 ms 3672 KB Output is correct
6 Correct 2 ms 3676 KB Output is correct
7 Correct 1 ms 3676 KB Output is correct
8 Correct 1 ms 3676 KB Output is correct
9 Correct 2 ms 3672 KB Output is correct
10 Correct 1 ms 3676 KB Output is correct
11 Correct 1 ms 3676 KB Output is correct
12 Correct 1 ms 3676 KB Output is correct
13 Correct 1 ms 3676 KB Output is correct
14 Correct 1 ms 3676 KB Output is correct
15 Correct 2 ms 3676 KB Output is correct
16 Correct 2 ms 3676 KB Output is correct
17 Correct 2 ms 3676 KB Output is correct
18 Correct 1 ms 3676 KB Output is correct
19 Correct 1 ms 3676 KB Output is correct
20 Correct 2 ms 3672 KB Output is correct
21 Correct 1 ms 3676 KB Output is correct
22 Correct 1 ms 3676 KB Output is correct
23 Correct 1 ms 3676 KB Output is correct
24 Correct 1 ms 3676 KB Output is correct
25 Correct 1 ms 3672 KB Output is correct
26 Correct 1 ms 3676 KB Output is correct
27 Correct 1 ms 3676 KB Output is correct
28 Correct 2 ms 3672 KB Output is correct
29 Correct 1 ms 3676 KB Output is correct
30 Correct 2 ms 3928 KB Output is correct

Subtask #3
25.0 / 50.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 3672 KB Output is correct
2 Correct 1 ms 3676 KB Output is correct
3 Correct 1 ms 3676 KB Output is correct
4 Correct 1 ms 3676 KB Output is correct
5 Correct 1 ms 3676 KB Output is correct
6 Correct 1 ms 3676 KB Output is correct
7 Correct 1 ms 3676 KB Output is correct
8 Correct 1 ms 3676 KB Output is correct
9 Correct 1 ms 3676 KB Output is correct
10 Correct 1 ms 3676 KB Output is correct
11 Correct 2 ms 3676 KB Output is correct
12 Correct 2 ms 3672 KB Output is correct
13 Correct 1 ms 3676 KB Output is correct
14 Correct 1 ms 3676 KB Output is correct
15 Correct 2 ms 3672 KB Output is correct
16 Correct 1 ms 3676 KB Output is correct
17 Correct 1 ms 3676 KB Output is correct
18 Correct 1 ms 3672 KB Output is correct
19 Correct 1 ms 3676 KB Output is correct
20 Correct 1 ms 3676 KB Output is correct
21 Correct 1 ms 3676 KB Output is correct
22 Correct 1 ms 3672 KB Output is correct
23 Correct 2 ms 3676 KB Output is correct
24 Correct 1 ms 3676 KB Output is correct
25 Correct 1 ms 3676 KB Output is correct
26 Correct 2 ms 3672 KB Output is correct
27 Correct 1 ms 3676 KB Output is correct
28 Correct 1 ms 3676 KB Output is correct
29 Correct 1 ms 3676 KB Output is correct
30 Correct 1 ms 3676 KB Output is correct
31 Correct 1 ms 3676 KB Output is correct
32 Correct 2 ms 3676 KB Output is correct
33 Correct 2 ms 3676 KB Output is correct
34 Correct 2 ms 3676 KB Output is correct
35 Correct 1 ms 3676 KB Output is correct
36 Correct 1 ms 3676 KB Output is correct
37 Correct 2 ms 3672 KB Output is correct
38 Correct 1 ms 3676 KB Output is correct
39 Correct 1 ms 3676 KB Output is correct
40 Correct 1 ms 3676 KB Output is correct
41 Correct 1 ms 3676 KB Output is correct
42 Correct 1 ms 3672 KB Output is correct
43 Correct 1 ms 3676 KB Output is correct
44 Correct 1 ms 3676 KB Output is correct
45 Correct 2 ms 3672 KB Output is correct
46 Correct 1 ms 3676 KB Output is correct
47 Correct 2 ms 3928 KB Output is correct
48 Correct 40 ms 8396 KB Output is correct
49 Correct 42 ms 8912 KB Output is correct
50 Correct 40 ms 8908 KB Output is correct
51 Correct 32 ms 7668 KB Output is correct
52 Correct 45 ms 8676 KB Output is correct
53 Correct 37 ms 8400 KB Output is correct
54 Correct 26 ms 9948 KB Output is correct
55 Partially correct 53 ms 16328 KB Partially correct
56 Partially correct 48 ms 12232 KB Partially correct
57 Correct 46 ms 10944 KB Output is correct
58 Correct 53 ms 9940 KB Output is correct
59 Correct 40 ms 8960 KB Output is correct
60 Correct 32 ms 9040 KB Output is correct
61 Correct 37 ms 9164 KB Output is correct
62 Correct 38 ms 9160 KB Output is correct
63 Correct 34 ms 8928 KB Output is correct
64 Correct 36 ms 9168 KB Output is correct
65 Correct 35 ms 9352 KB Output is correct
66 Correct 39 ms 9140 KB Output is correct
67 Correct 24 ms 7892 KB Output is correct
68 Correct 29 ms 8392 KB Output is correct
69 Correct 32 ms 9416 KB Output is correct
70 Correct 43 ms 8904 KB Output is correct
71 Correct 31 ms 7536 KB Output is correct
72 Correct 29 ms 8140 KB Output is correct
73 Correct 44 ms 9316 KB Output is correct
74 Correct 35 ms 8752 KB Output is correct
75 Correct 47 ms 8584 KB Output is correct
76 Correct 46 ms 8708 KB Output is correct
77 Correct 39 ms 8948 KB Output is correct
78 Correct 27 ms 7212 KB Output is correct
79 Correct 29 ms 7896 KB Output is correct
80 Correct 54 ms 8748 KB Output is correct
81 Correct 40 ms 9096 KB Output is correct
82 Correct 39 ms 9164 KB Output is correct