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Submission #948790

# Submission time Handle Problem Language Result Execution time Memory
948790 2024-03-18T14:24:38 Z lolismek Village (BOI20_village) C++14
50 / 100
 59 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){
    aux.pb(node);
    for(int vec : adj[node]){
        if(vec != par){
            dfs3(vec, 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;
    }

    aux.pb(centroid);
    for(int vec : adj[centroid]){
        dfs3(vec, centroid);
    }

    for(int i = 0; i < n / 2; i++){
        swap(max_pos[aux[i]], max_pos[aux[n - i - 1]]);
    }
    if(n % 2 == 1){
        swap(max_pos[aux[n / 2 + 1]], max_pos[centroid]);
    }

    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
6.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 3676 KB Output is correct
2 Partially correct 2 ms 3828 KB Partially correct
3 Correct 1 ms 3672 KB Output is correct
4 Partially correct 1 ms 3676 KB Partially correct
5 Partially correct 1 ms 3676 KB Partially correct
6 Partially correct 1 ms 3676 KB Partially correct
7 Partially correct 1 ms 3676 KB Partially correct
8 Partially correct 1 ms 3676 KB Partially correct
9 Partially correct 1 ms 3676 KB Partially correct
10 Correct 1 ms 3676 KB Output is correct
11 Partially correct 1 ms 3676 KB Partially correct
12 Correct 1 ms 3676 KB Output is correct
13 Correct 2 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 Partially correct 1 ms 3672 KB Partially correct
17 Correct 1 ms 3676 KB Output is correct

Subtask #2
19.0 / 38.0

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

Subtask #3
25.0 / 50.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 3676 KB Output is correct
2 Partially correct 2 ms 3828 KB Partially correct
3 Correct 1 ms 3672 KB Output is correct
4 Partially correct 1 ms 3676 KB Partially correct
5 Partially correct 1 ms 3676 KB Partially correct
6 Partially correct 1 ms 3676 KB Partially correct
7 Partially correct 1 ms 3676 KB Partially correct
8 Partially correct 1 ms 3676 KB Partially correct
9 Partially correct 1 ms 3676 KB Partially correct
10 Correct 1 ms 3676 KB Output is correct
11 Partially correct 1 ms 3676 KB Partially correct
12 Correct 1 ms 3676 KB Output is correct
13 Correct 2 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 Partially correct 1 ms 3672 KB Partially correct
17 Correct 1 ms 3676 KB Output is correct
18 Partially correct 2 ms 3672 KB Partially correct
19 Partially correct 1 ms 3676 KB Partially correct
20 Partially correct 1 ms 3676 KB Partially correct
21 Partially correct 1 ms 3676 KB Partially correct
22 Partially correct 2 ms 3676 KB Partially correct
23 Partially correct 2 ms 3676 KB Partially correct
24 Correct 2 ms 3676 KB Output is correct
25 Partially correct 2 ms 3676 KB Partially correct
26 Partially correct 1 ms 3672 KB Partially correct
27 Partially correct 1 ms 3676 KB Partially correct
28 Partially correct 2 ms 3676 KB Partially correct
29 Correct 1 ms 3676 KB Output is correct
30 Partially correct 1 ms 3676 KB Partially correct
31 Partially correct 1 ms 3676 KB Partially correct
32 Partially correct 1 ms 3676 KB Partially correct
33 Partially correct 1 ms 3676 KB Partially correct
34 Partially correct 1 ms 3676 KB Partially correct
35 Partially correct 1 ms 3676 KB Partially correct
36 Partially correct 2 ms 3672 KB Partially correct
37 Partially correct 2 ms 3676 KB Partially correct
38 Partially correct 2 ms 3672 KB Partially correct
39 Partially correct 1 ms 3672 KB Partially correct
40 Partially correct 2 ms 3676 KB Partially correct
41 Partially correct 1 ms 3676 KB Partially correct
42 Partially correct 1 ms 3676 KB Partially correct
43 Partially correct 1 ms 3676 KB Partially correct
44 Partially correct 1 ms 3676 KB Partially correct
45 Partially correct 2 ms 3676 KB Partially correct
46 Partially correct 1 ms 3676 KB Partially correct
47 Partially correct 1 ms 3676 KB Partially correct
48 Partially correct 39 ms 8392 KB Partially correct
49 Partially correct 41 ms 8740 KB Partially correct
50 Partially correct 42 ms 8924 KB Partially correct
51 Partially correct 38 ms 7740 KB Partially correct
52 Partially correct 43 ms 8652 KB Partially correct
53 Partially correct 37 ms 8404 KB Partially correct
54 Partially correct 25 ms 9948 KB Partially correct
55 Partially correct 59 ms 16328 KB Partially correct
56 Partially correct 57 ms 12236 KB Partially correct
57 Partially correct 50 ms 10952 KB Partially correct
58 Partially correct 49 ms 9936 KB Partially correct
59 Partially correct 41 ms 8904 KB Partially correct
60 Correct 33 ms 9120 KB Output is correct
61 Partially correct 48 ms 9164 KB Partially correct
62 Partially correct 35 ms 9160 KB Partially correct
63 Partially correct 33 ms 8928 KB Partially correct
64 Partially correct 40 ms 9168 KB Partially correct
65 Partially correct 37 ms 9176 KB Partially correct
66 Partially correct 31 ms 8924 KB Partially correct
67 Partially correct 34 ms 7880 KB Partially correct
68 Partially correct 29 ms 8400 KB Partially correct
69 Partially correct 33 ms 9256 KB Partially correct
70 Partially correct 39 ms 8904 KB Partially correct
71 Partially correct 24 ms 7636 KB Partially correct
72 Partially correct 28 ms 8152 KB Partially correct
73 Partially correct 34 ms 9428 KB Partially correct
74 Partially correct 31 ms 8916 KB Partially correct
75 Partially correct 59 ms 8652 KB Partially correct
76 Partially correct 38 ms 8728 KB Partially correct
77 Partially correct 35 ms 8912 KB Partially correct
78 Partially correct 30 ms 7508 KB Partially correct
79 Partially correct 28 ms 7884 KB Partially correct
80 Partially correct 43 ms 8584 KB Partially correct
81 Partially correct 42 ms 9368 KB Partially correct
82 Partially correct 33 ms 9060 KB Partially correct