oj.uz

Submission #1094897

# Submission time Handle Problem Language Result Execution time Memory
1094897 2024-09-30T19:59:05 Z andrei_iorgulescu Village (BOI20_village) C++14
100 / 100
 75 ms 27784 KB 
#include <bits/stdc++.h>

using namespace std;

#define int long long

int n;
vector<int> g[100005], f[100005];
int t[100005], sz[100005], h[100005];
int nrf[100005];

int ans_mic, ans_mare, sol_mic[100005], sol_mare[100005];

void dfs(int nod)
{
    sz[nod] = 1;
    for (auto vecin : g[nod])
    {
        if (vecin != t[nod])
        {
            f[nod].push_back(vecin);
            t[vecin] = nod;
            h[vecin] = 1 + h[nod];
            dfs(vecin);
            sz[nod] += sz[vecin];
        }
    }
}

void solve_mic()
{
    vector<bool> scos(n + 1);
    for (int i = 1; i <= n; i++)
        nrf[i] = f[i].size();
    vector<int> nd;
    for (int i = 1; i <= n; i++)
        nd.push_back(i);
    sort(nd.begin(), nd.end(), [](int A, int B)
    {
        return h[A] > h[B];
    });
    for (auto it : nd)
    {
        if (nrf[it] != 0)
        {
            vector<int> u;
            for (auto itt : f[it])
            {
                if (!scos[itt])
                {
                    scos[itt] = true;
                    u.push_back(itt);
                }
            }
            scos[it] = true;
            nrf[t[it]]--;
            if (u.size() % 2 == 1)
            {
                u.push_back(it);
                ans_mic -= 2;
                for (int i = 0; i < u.size(); i += 2)
                {
                    ans_mic += 4;
                    sol_mic[u[i]] = u[i + 1];
                    sol_mic[u[i + 1]] = u[i];
                }
            }
            else
            {
                int x = it, y = u[0], z = u[1];
                ans_mic += 4;
                sol_mic[x] = y;
                sol_mic[y] = z;
                sol_mic[z] = x;
                for (int i = 2; i < u.size(); i += 2)
                {
                    ans_mic += 4;
                    sol_mic[u[i]] = u[i + 1];
                    sol_mic[u[i + 1]] = u[i];
                }
            }
        }
        else if (it == 1)
        {
            ans_mic += 2;
            int x = f[1][0];
            int y = sol_mic[x];
            if (sol_mic[y] == x)
            {
                sol_mic[1] = x;
                sol_mic[x] = y;
                sol_mic[y] = 1;
            }
            else
            {
                int z = sol_mic[y];
                sol_mic[1] = x;
                sol_mic[x] = y;
                sol_mic[y] = z;
                sol_mic[z] = 1;
            }
        }
    }
}

int find_centroid(int nod)
{
    int ff = 0;
    for (auto it : f[nod])
        if (sz[it] > n / 2)
            ff = it;
    if (ff != 0)
        return find_centroid(ff);
    return nod;
}

vector<int> noduri;

void dfs2(int nod)
{
    noduri.push_back(nod);
    for (auto it : f[nod])
        dfs2(it);
}

void solve_mare()
{
    int c = find_centroid(1);
    for (int i = 1; i <= n; i++)
    {
        f[i].clear();
        t[i] = 0;
        sz[i] = 0;
        h[i] = 0;
    }
    dfs(c);
    for (int i = 1; i <= n; i++)
        ans_mare += 2 * h[i];
    dfs2(c);
    int ofs = (n + 1) / 2;
    for (int i = 0; i < noduri.size(); i++)
    {
        int x = (i + ofs) % n;
        sol_mare[noduri[i]] = noduri[x];
    }
}

signed main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    cout.tie(NULL);
    cin >> n;
    for (int i = 1; i < n; i++)
    {
        int x, y;
        cin >> x >> y;
        g[x].push_back(y);
        g[y].push_back(x);
    }
    dfs(1);
    solve_mic();
    solve_mare();
    cout << ans_mic << ' ' << ans_mare << '\n';
    for (int i = 1; i <= n; i++)
        cout << sol_mic[i] << ' ';
    cout << '\n';
    for (int i = 1; i <= n; i++)
        cout << sol_mare[i] << ' ';
    return 0;
}

Compilation message

Village.cpp: In function 'void solve_mic()':
Village.cpp:61:35: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   61 |                 for (int i = 0; i < u.size(); i += 2)
      |                                 ~~^~~~~~~~~~
Village.cpp:75:35: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   75 |                 for (int i = 2; i < u.size(); i += 2)
      |                                 ~~^~~~~~~~~~
Village.cpp: In function 'void solve_mare()':
Village.cpp:141:23: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  141 |     for (int i = 0; i < noduri.size(); i++)
      |                     ~~^~~~~~~~~~~~~~~

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4956 KB Output is correct
2 Correct 2 ms 4956 KB Output is correct
3 Correct 2 ms 4956 KB Output is correct
4 Correct 2 ms 5204 KB Output is correct
5 Correct 2 ms 4956 KB Output is correct
6 Correct 2 ms 4956 KB Output is correct
7 Correct 2 ms 4956 KB Output is correct
8 Correct 2 ms 4956 KB Output is correct
9 Correct 2 ms 5160 KB Output is correct
10 Correct 2 ms 4956 KB Output is correct
11 Correct 2 ms 4956 KB Output is correct
12 Correct 2 ms 4956 KB Output is correct
13 Correct 2 ms 4956 KB Output is correct
14 Correct 3 ms 5160 KB Output is correct
15 Correct 3 ms 4956 KB Output is correct
16 Correct 2 ms 4956 KB Output is correct
17 Correct 2 ms 4956 KB Output is correct

Subtask #2
38.0 / 38.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 5212 KB Output is correct
2 Correct 2 ms 5212 KB Output is correct
3 Correct 2 ms 5212 KB Output is correct
4 Correct 2 ms 5092 KB Output is correct
5 Correct 2 ms 5208 KB Output is correct
6 Correct 2 ms 5212 KB Output is correct
7 Correct 3 ms 5212 KB Output is correct
8 Correct 3 ms 5160 KB Output is correct
9 Correct 2 ms 5212 KB Output is correct
10 Correct 3 ms 5208 KB Output is correct
11 Correct 3 ms 5212 KB Output is correct
12 Correct 2 ms 5212 KB Output is correct
13 Correct 2 ms 5212 KB Output is correct
14 Correct 2 ms 5212 KB Output is correct
15 Correct 2 ms 5212 KB Output is correct
16 Correct 2 ms 5308 KB Output is correct
17 Correct 3 ms 5212 KB Output is correct
18 Correct 2 ms 5212 KB Output is correct
19 Correct 2 ms 5212 KB Output is correct
20 Correct 3 ms 5212 KB Output is correct
21 Correct 2 ms 5212 KB Output is correct
22 Correct 2 ms 5212 KB Output is correct
23 Correct 3 ms 5212 KB Output is correct
24 Correct 3 ms 5212 KB Output is correct
25 Correct 3 ms 5212 KB Output is correct
26 Correct 2 ms 5212 KB Output is correct
27 Correct 3 ms 5464 KB Output is correct
28 Correct 3 ms 5208 KB Output is correct
29 Correct 5 ms 5212 KB Output is correct
30 Correct 2 ms 5072 KB Output is correct

Subtask #3
50.0 / 50.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4956 KB Output is correct
2 Correct 2 ms 4956 KB Output is correct
3 Correct 2 ms 4956 KB Output is correct
4 Correct 2 ms 5204 KB Output is correct
5 Correct 2 ms 4956 KB Output is correct
6 Correct 2 ms 4956 KB Output is correct
7 Correct 2 ms 4956 KB Output is correct
8 Correct 2 ms 4956 KB Output is correct
9 Correct 2 ms 5160 KB Output is correct
10 Correct 2 ms 4956 KB Output is correct
11 Correct 2 ms 4956 KB Output is correct
12 Correct 2 ms 4956 KB Output is correct
13 Correct 2 ms 4956 KB Output is correct
14 Correct 3 ms 5160 KB Output is correct
15 Correct 3 ms 4956 KB Output is correct
16 Correct 2 ms 4956 KB Output is correct
17 Correct 2 ms 4956 KB Output is correct
18 Correct 2 ms 5212 KB Output is correct
19 Correct 2 ms 5212 KB Output is correct
20 Correct 2 ms 5212 KB Output is correct
21 Correct 2 ms 5092 KB Output is correct
22 Correct 2 ms 5208 KB Output is correct
23 Correct 2 ms 5212 KB Output is correct
24 Correct 3 ms 5212 KB Output is correct
25 Correct 3 ms 5160 KB Output is correct
26 Correct 2 ms 5212 KB Output is correct
27 Correct 3 ms 5208 KB Output is correct
28 Correct 3 ms 5212 KB Output is correct
29 Correct 2 ms 5212 KB Output is correct
30 Correct 2 ms 5212 KB Output is correct
31 Correct 2 ms 5212 KB Output is correct
32 Correct 2 ms 5212 KB Output is correct
33 Correct 2 ms 5308 KB Output is correct
34 Correct 3 ms 5212 KB Output is correct
35 Correct 2 ms 5212 KB Output is correct
36 Correct 2 ms 5212 KB Output is correct
37 Correct 3 ms 5212 KB Output is correct
38 Correct 2 ms 5212 KB Output is correct
39 Correct 2 ms 5212 KB Output is correct
40 Correct 3 ms 5212 KB Output is correct
41 Correct 3 ms 5212 KB Output is correct
42 Correct 3 ms 5212 KB Output is correct
43 Correct 2 ms 5212 KB Output is correct
44 Correct 3 ms 5464 KB Output is correct
45 Correct 3 ms 5208 KB Output is correct
46 Correct 5 ms 5212 KB Output is correct
47 Correct 2 ms 5072 KB Output is correct
48 Correct 51 ms 18176 KB Output is correct
49 Correct 58 ms 19380 KB Output is correct
50 Correct 56 ms 19388 KB Output is correct
51 Correct 49 ms 16476 KB Output is correct
52 Correct 61 ms 19404 KB Output is correct
53 Correct 48 ms 17928 KB Output is correct
54 Correct 36 ms 16192 KB Output is correct
55 Correct 75 ms 27784 KB Output is correct
56 Correct 71 ms 23212 KB Output is correct
57 Correct 74 ms 21964 KB Output is correct
58 Correct 69 ms 20916 KB Output is correct
59 Correct 59 ms 19588 KB Output is correct
60 Correct 36 ms 18484 KB Output is correct
61 Correct 38 ms 18512 KB Output is correct
62 Correct 43 ms 18840 KB Output is correct
63 Correct 39 ms 18152 KB Output is correct
64 Correct 48 ms 19384 KB Output is correct
65 Correct 41 ms 19388 KB Output is correct
66 Correct 48 ms 18148 KB Output is correct
67 Correct 30 ms 15368 KB Output is correct
68 Correct 36 ms 17156 KB Output is correct
69 Correct 40 ms 19644 KB Output is correct
70 Correct 35 ms 18404 KB Output is correct
71 Correct 28 ms 15272 KB Output is correct
72 Correct 30 ms 16476 KB Output is correct
73 Correct 47 ms 19336 KB Output is correct
74 Correct 36 ms 18172 KB Output is correct
75 Correct 58 ms 19380 KB Output is correct
76 Correct 49 ms 19128 KB Output is correct
77 Correct 51 ms 19172 KB Output is correct
78 Correct 34 ms 14812 KB Output is correct
79 Correct 39 ms 15968 KB Output is correct
80 Correct 59 ms 19380 KB Output is correct
81 Correct 52 ms 19440 KB Output is correct
82 Correct 45 ms 18644 KB Output is correct