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Submission #946115

# Submission time Handle Problem Language Result Execution time Memory
946115 2024-03-14T10:33:29 Z LucaIlie Village (BOI20_village) C++17
56 / 100
 97 ms 16668 KB 
#include <bits/stdc++.h>

using namespace std;

const int MAX_N = 1e5;
int sizee[MAX_N + 1], depth[MAX_N + 1], pairMinn[MAX_N + 1], pairMaxx[MAX_N + 1];
vector<int> adj[MAX_N + 1];
int n;

int c;
void findCentroid( int u, int p ) {
    int maxSizee = 0;
    sizee[u] = 1;
    for ( int v: adj[u] ) {
        if ( v == p )
            continue;
        findCentroid( v, u );
        sizee[u] += sizee[v];
        maxSizee = max( maxSizee, sizee[v] );
    }
    maxSizee = max( maxSizee, n - sizee[u] );
    if ( maxSizee <= n / 2 )
        c = u;
}

void calcSizes( int u, int p ) {
    sizee[u] = 1;
    for ( int v: adj[u] ) {
        if ( v == p )
            continue;
        calcSizes( v, u );
        sizee[u] += sizee[v];
    }
}

long long maxSumDist;
vector<int> vert;
void calcDepths( int u, int p ) {
    depth[u] = depth[p] + 1;
    maxSumDist += 2 * depth[u];
    for ( int v: adj[u] ) {
        if ( v == p )
            continue;
        calcDepths( v, u );
    }
    vert.push_back( u );
}

void getMaxSumDist() {
    depth[0] = -1;
    calcDepths( c, 0 );
    for ( int i = 0; i < n / 2; i++ ) {
        pairMaxx[vert[i]] = vert[n / 2 + i];
        pairMaxx[vert[n / 2 + i]] = vert[i];
    }

    if ( pairMaxx[c] == 0 ) {
        int a = adj[c][0], b = pairMaxx[a];
        pairMaxx[a] = b;
        pairMaxx[b] = c;
        pairMaxx[c] = a;
    }
}

long long minSumDist;
void dfs( int u, int p ) {
    vector<int> unpaired;
    sizee[u] = 1;
    for ( int v: adj[u] ) {
        if ( v == p )
            continue;
        dfs( v, u );
        sizee[u] += sizee[v];
        if ( pairMinn[v] == 0 )
            unpaired.push_back( v );
    }
    if ( unpaired.size() >= 1 ) {
        unpaired.push_back( u );
        for ( int i = 0; i < (int)unpaired.size(); i++ )
            pairMinn[unpaired[i]] = unpaired[(i + 1) % unpaired.size()];
        minSumDist += 2 * (unpaired.size() - 1);
    }
}

void getMinSumDist() {
    minSumDist = 0;
    dfs( c, 0 );
    if ( pairMinn[c] == 0 ) {
        int a = adj[c][0];
        for ( int v: adj[c] ) {
            if ( sizee[v] % 2 == 1 )
                a = v;
        }
        int b = pairMinn[a];
        pairMinn[a] = b;
        pairMinn[b] = c;
        pairMinn[c] = a;
        if ( sizee[a] % 2 == 0 )
            minSumDist += 2;
    }
}

int main() {
    cin >> n;
    for ( int i = 0; i < n - 1; i++ ) {
        int u, v;
        cin >> u >> v;
        adj[u].push_back( v );
        adj[v].push_back( u );
    }

    findCentroid( 1, 0 );
    getMinSumDist();
    getMaxSumDist();

    cout << minSumDist << " " << maxSumDist << "\n";
    for ( int v = 1; v <= n; v++ )
        cout << pairMinn[v] << " ";
    cout << "\n";
    for ( int v = 1; v <= n; v++ )
        cout << pairMaxx[v] << " ";
    cout << "\n";

    return 0;
}

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2652 KB Output is correct
2 Correct 1 ms 2652 KB Output is correct
3 Correct 1 ms 2648 KB Output is correct
4 Correct 1 ms 2652 KB Output is correct
5 Correct 1 ms 2652 KB Output is correct
6 Correct 1 ms 2652 KB Output is correct
7 Correct 1 ms 2648 KB Output is correct
8 Correct 1 ms 2652 KB Output is correct
9 Correct 1 ms 2652 KB Output is correct
10 Correct 1 ms 2652 KB Output is correct
11 Correct 1 ms 2652 KB Output is correct
12 Correct 1 ms 2652 KB Output is correct
13 Correct 1 ms 2652 KB Output is correct
14 Correct 1 ms 2652 KB Output is correct
15 Correct 2 ms 2652 KB Output is correct
16 Correct 1 ms 2652 KB Output is correct
17 Correct 2 ms 2652 KB Output is correct

Subtask #2
19.0 / 38.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2664 KB Output is correct
2 Correct 1 ms 2652 KB Output is correct
3 Correct 1 ms 2652 KB Output is correct
4 Correct 2 ms 2648 KB Output is correct
5 Correct 1 ms 2648 KB Output is correct
6 Correct 2 ms 2652 KB Output is correct
7 Correct 1 ms 2908 KB Output is correct
8 Correct 1 ms 2652 KB Output is correct
9 Correct 2 ms 2652 KB Output is correct
10 Correct 2 ms 2652 KB Output is correct
11 Correct 2 ms 2652 KB Output is correct
12 Correct 2 ms 2652 KB Output is correct
13 Correct 1 ms 2652 KB Output is correct
14 Correct 2 ms 2652 KB Output is correct
15 Correct 1 ms 2652 KB Output is correct
16 Correct 2 ms 2648 KB Output is correct
17 Correct 1 ms 2652 KB Output is correct
18 Correct 1 ms 2652 KB Output is correct
19 Correct 1 ms 2652 KB Output is correct
20 Correct 1 ms 2652 KB Output is correct
21 Correct 1 ms 2652 KB Output is correct
22 Correct 1 ms 2652 KB Output is correct
23 Correct 1 ms 2648 KB Output is correct
24 Partially correct 1 ms 2652 KB Partially correct
25 Correct 1 ms 2904 KB Output is correct
26 Partially correct 1 ms 2652 KB Partially correct
27 Correct 1 ms 2652 KB Output is correct
28 Correct 1 ms 2652 KB Output is correct
29 Correct 2 ms 2652 KB Output is correct
30 Correct 2 ms 2652 KB Output is correct

Subtask #3
25.0 / 50.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2652 KB Output is correct
2 Correct 1 ms 2652 KB Output is correct
3 Correct 1 ms 2648 KB Output is correct
4 Correct 1 ms 2652 KB Output is correct
5 Correct 1 ms 2652 KB Output is correct
6 Correct 1 ms 2652 KB Output is correct
7 Correct 1 ms 2648 KB Output is correct
8 Correct 1 ms 2652 KB Output is correct
9 Correct 1 ms 2652 KB Output is correct
10 Correct 1 ms 2652 KB Output is correct
11 Correct 1 ms 2652 KB Output is correct
12 Correct 1 ms 2652 KB Output is correct
13 Correct 1 ms 2652 KB Output is correct
14 Correct 1 ms 2652 KB Output is correct
15 Correct 2 ms 2652 KB Output is correct
16 Correct 1 ms 2652 KB Output is correct
17 Correct 2 ms 2652 KB Output is correct
18 Correct 1 ms 2664 KB Output is correct
19 Correct 1 ms 2652 KB Output is correct
20 Correct 1 ms 2652 KB Output is correct
21 Correct 2 ms 2648 KB Output is correct
22 Correct 1 ms 2648 KB Output is correct
23 Correct 2 ms 2652 KB Output is correct
24 Correct 1 ms 2908 KB Output is correct
25 Correct 1 ms 2652 KB Output is correct
26 Correct 2 ms 2652 KB Output is correct
27 Correct 2 ms 2652 KB Output is correct
28 Correct 2 ms 2652 KB Output is correct
29 Correct 2 ms 2652 KB Output is correct
30 Correct 1 ms 2652 KB Output is correct
31 Correct 2 ms 2652 KB Output is correct
32 Correct 1 ms 2652 KB Output is correct
33 Correct 2 ms 2648 KB Output is correct
34 Correct 1 ms 2652 KB Output is correct
35 Correct 1 ms 2652 KB Output is correct
36 Correct 1 ms 2652 KB Output is correct
37 Correct 1 ms 2652 KB Output is correct
38 Correct 1 ms 2652 KB Output is correct
39 Correct 1 ms 2652 KB Output is correct
40 Correct 1 ms 2648 KB Output is correct
41 Partially correct 1 ms 2652 KB Partially correct
42 Correct 1 ms 2904 KB Output is correct
43 Partially correct 1 ms 2652 KB Partially correct
44 Correct 1 ms 2652 KB Output is correct
45 Correct 1 ms 2652 KB Output is correct
46 Correct 2 ms 2652 KB Output is correct
47 Correct 2 ms 2652 KB Output is correct
48 Correct 67 ms 8652 KB Output is correct
49 Correct 74 ms 9264 KB Output is correct
50 Correct 72 ms 9168 KB Output is correct
51 Correct 63 ms 7884 KB Output is correct
52 Correct 83 ms 9168 KB Output is correct
53 Correct 64 ms 8480 KB Output is correct
54 Correct 45 ms 9464 KB Output is correct
55 Correct 96 ms 16668 KB Output is correct
56 Correct 79 ms 12824 KB Output is correct
57 Correct 82 ms 11540 KB Output is correct
58 Correct 97 ms 10440 KB Output is correct
59 Correct 79 ms 9212 KB Output is correct
60 Correct 70 ms 9920 KB Output is correct
61 Correct 73 ms 9620 KB Output is correct
62 Correct 85 ms 9520 KB Output is correct
63 Correct 78 ms 9244 KB Output is correct
64 Correct 70 ms 9592 KB Output is correct
65 Correct 68 ms 9676 KB Output is correct
66 Correct 58 ms 9236 KB Output is correct
67 Correct 46 ms 7740 KB Output is correct
68 Correct 56 ms 8628 KB Output is correct
69 Correct 73 ms 9556 KB Output is correct
70 Correct 58 ms 9108 KB Output is correct
71 Correct 56 ms 7636 KB Output is correct
72 Correct 51 ms 8164 KB Output is correct
73 Correct 63 ms 9560 KB Output is correct
74 Correct 57 ms 8948 KB Output is correct
75 Correct 71 ms 8984 KB Output is correct
76 Partially correct 69 ms 9168 KB Partially correct
77 Correct 77 ms 9420 KB Output is correct
78 Partially correct 49 ms 7332 KB Partially correct
79 Correct 56 ms 7868 KB Output is correct
80 Correct 72 ms 9168 KB Output is correct
81 Partially correct 62 ms 9416 KB Partially correct
82 Correct 70 ms 9424 KB Output is correct