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Submission #948784

# Submission time Handle Problem Language Result Execution time Memory
948784 2024-03-18T14:14:54 Z lolismek Village (BOI20_village) C++14
50 / 100
 54 ms 16332 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;
    }

    vt <vt <int>> comps;
    for(int vec : adj[centroid]){
        aux.clear();
        dfs3(vec, centroid);
        comps.pb(aux);
    }
    comps.pb({centroid});

    for(int i = 0; i + 1 < sz(comps); i++){
        while(sz(comps[i]) > 0 && sz(comps[i + 1]) > 0){
            swap(max_pos[comps[i].back()], max_pos[comps[i + 1].back()]);
            comps[i].pop_back();
            comps[i + 1].pop_back();
        }
        if(sz(comps[i]) > 0){
            swap(comps[i], comps[i + 1]);
        }
    }
    //assert(sz(comps.back()) == 0);

    while(sz(comps[sz(comps) - 1]) > 0){
        swap(max_pos[centroid], max_pos[comps[sz(comps) - 1].back()]);
        comps[sz(comps) - 1].pop_back();
    }

    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 1 ms 3676 KB Partially correct
3 Correct 1 ms 3676 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 3672 KB Partially 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 Partially correct 1 ms 3672 KB Partially correct
14 Correct 1 ms 3676 KB Output is correct
15 Correct 1 ms 3676 KB Output is correct
16 Correct 1 ms 3676 KB Output is 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 1 ms 3676 KB Partially correct
2 Partially correct 1 ms 3928 KB Partially correct
3 Partially correct 2 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 1 ms 3676 KB Partially correct
9 Partially correct 2 ms 3676 KB Partially correct
10 Correct 1 ms 3676 KB Output is correct
11 Partially correct 1 ms 3672 KB Partially correct
12 Correct 2 ms 3672 KB Output is correct
13 Partially correct 1 ms 3672 KB Partially correct
14 Partially correct 2 ms 3676 KB Partially correct
15 Partially correct 1 ms 3928 KB Partially correct
16 Partially correct 0 ms 3828 KB Partially correct
17 Partially correct 1 ms 3676 KB Partially correct
18 Partially correct 2 ms 3676 KB Partially correct
19 Partially correct 1 ms 3676 KB Partially correct
20 Partially correct 2 ms 3676 KB Partially correct
21 Partially correct 2 ms 3676 KB Partially correct
22 Partially correct 2 ms 3676 KB Partially correct
23 Partially correct 1 ms 3676 KB Partially correct
24 Correct 1 ms 3676 KB Output is correct
25 Correct 2 ms 3676 KB Output is correct
26 Partially correct 2 ms 3676 KB Partially correct
27 Partially correct 1 ms 3676 KB Partially correct
28 Partially correct 2 ms 3872 KB Partially correct
29 Partially correct 1 ms 3676 KB Partially correct
30 Partially correct 2 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 1 ms 3676 KB Partially correct
3 Correct 1 ms 3676 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 3672 KB Partially 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 Partially correct 1 ms 3672 KB Partially correct
14 Correct 1 ms 3676 KB Output is correct
15 Correct 1 ms 3676 KB Output is correct
16 Correct 1 ms 3676 KB Output is correct
17 Correct 1 ms 3676 KB Output is correct
18 Partially correct 1 ms 3676 KB Partially correct
19 Partially correct 1 ms 3928 KB Partially correct
20 Partially correct 2 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 1 ms 3676 KB Partially correct
26 Partially correct 2 ms 3676 KB Partially correct
27 Correct 1 ms 3676 KB Output is correct
28 Partially correct 1 ms 3672 KB Partially correct
29 Correct 2 ms 3672 KB Output is correct
30 Partially correct 1 ms 3672 KB Partially correct
31 Partially correct 2 ms 3676 KB Partially correct
32 Partially correct 1 ms 3928 KB Partially correct
33 Partially correct 0 ms 3828 KB Partially correct
34 Partially correct 1 ms 3676 KB Partially correct
35 Partially correct 2 ms 3676 KB Partially correct
36 Partially correct 1 ms 3676 KB Partially correct
37 Partially correct 2 ms 3676 KB Partially correct
38 Partially correct 2 ms 3676 KB Partially correct
39 Partially correct 2 ms 3676 KB Partially correct
40 Partially correct 1 ms 3676 KB Partially correct
41 Correct 1 ms 3676 KB Output is correct
42 Correct 2 ms 3676 KB Output is correct
43 Partially correct 2 ms 3676 KB Partially correct
44 Partially correct 1 ms 3676 KB Partially correct
45 Partially correct 2 ms 3872 KB Partially correct
46 Partially correct 1 ms 3676 KB Partially correct
47 Partially correct 2 ms 3676 KB Partially correct
48 Partially correct 43 ms 8512 KB Partially correct
49 Partially correct 45 ms 8916 KB Partially correct
50 Partially correct 42 ms 9100 KB Partially correct
51 Partially correct 31 ms 7760 KB Partially correct
52 Partially correct 40 ms 8788 KB Partially correct
53 Partially correct 36 ms 8528 KB Partially correct
54 Correct 24 ms 9816 KB Output is correct
55 Partially correct 54 ms 16332 KB Partially correct
56 Partially correct 52 ms 12496 KB Partially correct
57 Partially correct 47 ms 11216 KB Partially correct
58 Correct 52 ms 10060 KB Output is correct
59 Partially correct 41 ms 9168 KB Partially correct
60 Correct 37 ms 14408 KB Output is correct
61 Partially correct 34 ms 10080 KB Partially correct
62 Partially correct 43 ms 9436 KB Partially correct
63 Partially correct 32 ms 9004 KB Partially correct
64 Partially correct 36 ms 9044 KB Partially correct
65 Partially correct 44 ms 9480 KB Partially correct
66 Partially correct 35 ms 9052 KB Partially correct
67 Partially correct 25 ms 8332 KB Partially correct
68 Partially correct 33 ms 8280 KB Partially correct
69 Partially correct 34 ms 9424 KB Partially correct
70 Partially correct 34 ms 9044 KB Partially correct
71 Partially correct 26 ms 7772 KB Partially correct
72 Partially correct 28 ms 8020 KB Partially correct
73 Partially correct 33 ms 9380 KB Partially correct
74 Partially correct 31 ms 8788 KB Partially correct
75 Partially correct 41 ms 8656 KB Partially correct
76 Partially correct 41 ms 8592 KB Partially correct
77 Partially correct 34 ms 9048 KB Partially correct
78 Partially correct 29 ms 7252 KB Partially correct
79 Partially correct 29 ms 7764 KB Partially correct
80 Partially correct 43 ms 8652 KB Partially correct
81 Partially correct 51 ms 9056 KB Partially correct
82 Partially correct 36 ms 9044 KB Partially correct