oj.uz

Submission #948804

# Submission time Handle Problem Language Result Execution time Memory
948804 2024-03-18T14:37:23 Z lolismek Village (BOI20_village) C++14
100 / 100
 69 ms 16476 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){
        max_pos[max_pos[adj[centroid][0]]] = centroid;
        max_pos[centroid] = adj[centroid][0];
        //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 4956 KB Output is correct
2 Correct 1 ms 4956 KB Output is correct
3 Correct 1 ms 4952 KB Output is correct
4 Correct 1 ms 4956 KB Output is correct
5 Correct 1 ms 4956 KB Output is correct
6 Correct 1 ms 4956 KB Output is correct
7 Correct 1 ms 4956 KB Output is correct
8 Correct 1 ms 4956 KB Output is correct
9 Correct 1 ms 5208 KB Output is correct
10 Correct 1 ms 4952 KB Output is correct
11 Correct 1 ms 4952 KB Output is correct
12 Correct 1 ms 4952 KB Output is correct
13 Correct 1 ms 4956 KB Output is correct
14 Correct 1 ms 4956 KB Output is correct
15 Correct 1 ms 4956 KB Output is correct
16 Correct 1 ms 4956 KB Output is correct
17 Correct 1 ms 4956 KB Output is correct

Subtask #2
38.0 / 38.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4956 KB Output is correct
2 Correct 1 ms 4956 KB Output is correct
3 Correct 1 ms 4956 KB Output is correct
4 Correct 1 ms 4956 KB Output is correct
5 Correct 1 ms 4956 KB Output is correct
6 Correct 1 ms 4956 KB Output is correct
7 Correct 2 ms 4956 KB Output is correct
8 Correct 1 ms 4956 KB Output is correct
9 Correct 1 ms 4956 KB Output is correct
10 Correct 1 ms 4956 KB Output is correct
11 Correct 2 ms 4956 KB Output is correct
12 Correct 1 ms 4956 KB Output is correct
13 Correct 1 ms 4956 KB Output is correct
14 Correct 1 ms 4956 KB Output is correct
15 Correct 1 ms 5044 KB Output is correct
16 Correct 2 ms 4956 KB Output is correct
17 Correct 1 ms 4956 KB Output is correct
18 Correct 2 ms 4956 KB Output is correct
19 Correct 1 ms 4956 KB Output is correct
20 Correct 1 ms 4956 KB Output is correct
21 Correct 2 ms 4952 KB Output is correct
22 Correct 2 ms 4956 KB Output is correct
23 Correct 1 ms 4956 KB Output is correct
24 Correct 1 ms 4956 KB Output is correct
25 Correct 1 ms 4956 KB Output is correct
26 Correct 1 ms 4956 KB Output is correct
27 Correct 1 ms 4956 KB Output is correct
28 Correct 2 ms 4956 KB Output is correct
29 Correct 2 ms 4956 KB Output is correct
30 Correct 1 ms 4956 KB Output is correct

Subtask #3
50.0 / 50.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4956 KB Output is correct
2 Correct 1 ms 4956 KB Output is correct
3 Correct 1 ms 4952 KB Output is correct
4 Correct 1 ms 4956 KB Output is correct
5 Correct 1 ms 4956 KB Output is correct
6 Correct 1 ms 4956 KB Output is correct
7 Correct 1 ms 4956 KB Output is correct
8 Correct 1 ms 4956 KB Output is correct
9 Correct 1 ms 5208 KB Output is correct
10 Correct 1 ms 4952 KB Output is correct
11 Correct 1 ms 4952 KB Output is correct
12 Correct 1 ms 4952 KB Output is correct
13 Correct 1 ms 4956 KB Output is correct
14 Correct 1 ms 4956 KB Output is correct
15 Correct 1 ms 4956 KB Output is correct
16 Correct 1 ms 4956 KB Output is correct
17 Correct 1 ms 4956 KB Output is correct
18 Correct 1 ms 4956 KB Output is correct
19 Correct 1 ms 4956 KB Output is correct
20 Correct 1 ms 4956 KB Output is correct
21 Correct 1 ms 4956 KB Output is correct
22 Correct 1 ms 4956 KB Output is correct
23 Correct 1 ms 4956 KB Output is correct
24 Correct 2 ms 4956 KB Output is correct
25 Correct 1 ms 4956 KB Output is correct
26 Correct 1 ms 4956 KB Output is correct
27 Correct 1 ms 4956 KB Output is correct
28 Correct 2 ms 4956 KB Output is correct
29 Correct 1 ms 4956 KB Output is correct
30 Correct 1 ms 4956 KB Output is correct
31 Correct 1 ms 4956 KB Output is correct
32 Correct 1 ms 5044 KB Output is correct
33 Correct 2 ms 4956 KB Output is correct
34 Correct 1 ms 4956 KB Output is correct
35 Correct 2 ms 4956 KB Output is correct
36 Correct 1 ms 4956 KB Output is correct
37 Correct 1 ms 4956 KB Output is correct
38 Correct 2 ms 4952 KB Output is correct
39 Correct 2 ms 4956 KB Output is correct
40 Correct 1 ms 4956 KB Output is correct
41 Correct 1 ms 4956 KB Output is correct
42 Correct 1 ms 4956 KB Output is correct
43 Correct 1 ms 4956 KB Output is correct
44 Correct 1 ms 4956 KB Output is correct
45 Correct 2 ms 4956 KB Output is correct
46 Correct 2 ms 4956 KB Output is correct
47 Correct 1 ms 4956 KB Output is correct
48 Correct 43 ms 10456 KB Output is correct
49 Correct 45 ms 10952 KB Output is correct
50 Correct 47 ms 10952 KB Output is correct
51 Correct 33 ms 9680 KB Output is correct
52 Correct 42 ms 10900 KB Output is correct
53 Correct 43 ms 10200 KB Output is correct
54 Correct 26 ms 10452 KB Output is correct
55 Correct 69 ms 16476 KB Output is correct
56 Correct 54 ms 13604 KB Output is correct
57 Correct 55 ms 12592 KB Output is correct
58 Correct 50 ms 11720 KB Output is correct
59 Correct 44 ms 10932 KB Output is correct
60 Correct 34 ms 11088 KB Output is correct
61 Correct 38 ms 11092 KB Output is correct
62 Correct 36 ms 11196 KB Output is correct
63 Correct 35 ms 10872 KB Output is correct
64 Correct 50 ms 11204 KB Output is correct
65 Correct 34 ms 11464 KB Output is correct
66 Correct 34 ms 10872 KB Output is correct
67 Correct 25 ms 9676 KB Output is correct
68 Correct 38 ms 10520 KB Output is correct
69 Correct 39 ms 11424 KB Output is correct
70 Correct 33 ms 11100 KB Output is correct
71 Correct 24 ms 9424 KB Output is correct
72 Correct 29 ms 10180 KB Output is correct
73 Correct 36 ms 11468 KB Output is correct
74 Correct 31 ms 10956 KB Output is correct
75 Correct 43 ms 11372 KB Output is correct
76 Correct 40 ms 10696 KB Output is correct
77 Correct 46 ms 11216 KB Output is correct
78 Correct 26 ms 9156 KB Output is correct
79 Correct 30 ms 9676 KB Output is correct
80 Correct 45 ms 11300 KB Output is correct
81 Correct 38 ms 11472 KB Output is correct
82 Correct 34 ms 10964 KB Output is correct