Submission #945289

# Submission time Handle Problem Language Result Execution time Memory
945289 2024-03-13T15:43:25 Z GrandTiger1729 Hard route (IZhO17_road) C++17
52 / 100
590 ms 190072 KB
#include <bits/stdc++.h>
using namespace std;

#define int long long
main()
{
    cin.tie(0)->sync_with_stdio(0);
    int n;
    cin >> n;
    vector<vector<int>> g(n);
    for (int i = 0; i < n - 1; i++)
    {
        int u, v;
        cin >> u >> v;
        u--, v--;
        g[u].push_back(v);
        g[v].push_back(u);
    }
    vector<vector<pair<int, int>>> res(n);
    {
        vector<bool> vis(n);
        function<pair<int, int>(int)> dfs = [&](int u) -> pair<int, int>
        {
            res[u].resize(g[u].size());
            vis[u] = 1;
            pair<int, int> ret(0, 1);
            for (int i = 0; i < g[u].size(); i++)
            {
                int v = g[u][i];
                if (vis[v])
                {
                    continue;
                }
                res[u][i] = dfs(v);
                if (res[u][i].first > ret.first)
                {
                    ret = res[u][i];
                }
                else if (res[u][i].first == ret.first)
                {
                    ret.second += res[u][i].second;
                }
            }
            ret.first++;
            return ret;
        };
        dfs(0);
    }
    long long ans = 0, cnt = 1;
    auto update = [&](long long x, long long y)
    {
        if (y == 0)
        {
            return;
        }
        if (ans < x)
        {
            ans = x;
            cnt = y;
        }
        else if (ans == x)
        {
            cnt += y;
        }
    };
    {
        vector<bool> vis(n);
        function<void(int, pair<int, int>)> dfs = [&](int u, pair<int, int> cur)
        {
            vis[u] = 1;
            multiset<pair<int, int>> st;
            for (int i = 0; i < g[u].size(); i++)
            {
                int v = g[u][i];
                if (vis[v])
                {
                    continue;
                }
                st.insert(res[u][i]);
            }
            if (u != 0)
            {
                st.insert(cur);
            }
            if (st.size() >= 3)
            {
                auto it = --st.end();
                auto it3 = it--;
                auto it2 = it--;
                if (it->first == it3->first)
                {
                    int tot = it->second + it2->second + it3->second;
                    long long tot2 = 1ll * it->second * it->second + 1ll * it2->second * it2->second + 1ll * it3->second * it3->second;
                    auto it4 = it;
                    while (it4 != st.begin() && it4->first == it->first)
                    {
                        it4--;
                        tot += it4->second;
                        tot2 += 1ll * it4->second * it4->second;
                    }
                    update(1ll * (it->first + it2->first) * it3->first, (1ll * tot * tot - tot2) / 2);
                }
                else if (it2->first == it3->first)
                {
                    update(1ll * (it->first + it2->first) * it3->first, 1ll * it->second * (it2->second + it3->second));
                }
                else
                {
                    update(1ll * (it->first + it2->first) * it3->first, 1ll * it->second * it2->second);
                }
            }
            map<int, int> mp;
            for (int i = 0; i < g[u].size(); i++)
            {
                int v = g[u][i];
                if (vis[v])
                {
                    continue;
                }
                mp[res[u][i].first] += res[u][i].second;
            }
            mp[cur.first] += cur.second;
            for (int i = 0; i < g[u].size(); i++)
            {
                int v = g[u][i];
                if (vis[v])
                {
                    continue;
                }
                mp[res[u][i].first] -= res[u][i].second;
                if ((--mp.end())->second == 0)
                {
                    mp.erase(--mp.end());
                }
                pair<int, int> x = *(--mp.end());
                x.first++;
                dfs(v, x);
                mp[res[u][i].first] += res[u][i].second;
            }
        };
        dfs(0, make_pair(0, 1));
    }
    cout << ans << ' ' << cnt << '\n';
    return 0;
}

Compilation message

road.cpp:5:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
    5 | main()
      | ^~~~
road.cpp: In lambda function:
road.cpp:27:31: 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]
   27 |             for (int i = 0; i < g[u].size(); i++)
      |                             ~~^~~~~~~~~~~~~
road.cpp: In lambda function:
road.cpp:72:31: 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]
   72 |             for (int i = 0; i < g[u].size(); i++)
      |                             ~~^~~~~~~~~~~~~
road.cpp:113:31: 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]
  113 |             for (int i = 0; i < g[u].size(); i++)
      |                             ~~^~~~~~~~~~~~~
road.cpp:123:31: 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]
  123 |             for (int i = 0; i < g[u].size(); i++)
      |                             ~~^~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 344 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 344 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 3 ms 1628 KB Output is correct
26 Correct 3 ms 2136 KB Output is correct
27 Correct 4 ms 2140 KB Output is correct
28 Correct 3 ms 2164 KB Output is correct
29 Correct 4 ms 2140 KB Output is correct
30 Correct 3 ms 2264 KB Output is correct
31 Correct 3 ms 2396 KB Output is correct
32 Correct 3 ms 2140 KB Output is correct
33 Correct 3 ms 2140 KB Output is correct
34 Correct 3 ms 2396 KB Output is correct
35 Correct 3 ms 2140 KB Output is correct
36 Correct 3 ms 2136 KB Output is correct
37 Correct 4 ms 2396 KB Output is correct
38 Correct 4 ms 3420 KB Output is correct
39 Correct 3 ms 1708 KB Output is correct
40 Correct 3 ms 1372 KB Output is correct
41 Correct 3 ms 1116 KB Output is correct
42 Correct 3 ms 1116 KB Output is correct
43 Correct 3 ms 1108 KB Output is correct
44 Correct 3 ms 1092 KB Output is correct
45 Correct 3 ms 1104 KB Output is correct
46 Correct 2 ms 856 KB Output is correct
47 Correct 2 ms 1116 KB Output is correct
48 Correct 3 ms 1372 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 344 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 3 ms 1628 KB Output is correct
26 Correct 3 ms 2136 KB Output is correct
27 Correct 4 ms 2140 KB Output is correct
28 Correct 3 ms 2164 KB Output is correct
29 Correct 4 ms 2140 KB Output is correct
30 Correct 3 ms 2264 KB Output is correct
31 Correct 3 ms 2396 KB Output is correct
32 Correct 3 ms 2140 KB Output is correct
33 Correct 3 ms 2140 KB Output is correct
34 Correct 3 ms 2396 KB Output is correct
35 Correct 3 ms 2140 KB Output is correct
36 Correct 3 ms 2136 KB Output is correct
37 Correct 4 ms 2396 KB Output is correct
38 Correct 4 ms 3420 KB Output is correct
39 Correct 3 ms 1708 KB Output is correct
40 Correct 3 ms 1372 KB Output is correct
41 Correct 3 ms 1116 KB Output is correct
42 Correct 3 ms 1116 KB Output is correct
43 Correct 3 ms 1108 KB Output is correct
44 Correct 3 ms 1092 KB Output is correct
45 Correct 3 ms 1104 KB Output is correct
46 Correct 2 ms 856 KB Output is correct
47 Correct 2 ms 1116 KB Output is correct
48 Correct 3 ms 1372 KB Output is correct
49 Correct 568 ms 159316 KB Output is correct
50 Correct 584 ms 175696 KB Output is correct
51 Correct 590 ms 190072 KB Output is correct
52 Incorrect 551 ms 140112 KB Output isn't correct
53 Halted 0 ms 0 KB -