Submission #945509

# Submission time Handle Problem Language Result Execution time Memory
945509 2024-03-14T02:29:53 Z GrandTiger1729 Hard route (IZhO17_road) C++17
52 / 100
728 ms 262144 KB
#include <bits/stdc++.h>
using namespace std;
 
int 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 = it2->second + it3->second;
                    long long tot2 = 1ll * it2->second * it2->second + 1ll * it3->second * it3->second;
                    auto it4 = it;
                    while (it4->first == it->first)
                    {
                        tot += it4->second;
                        tot2 += 1ll * it4->second * it4->second;
                      	if (it4 == st.begin())
                        {
                            break;
                        }
                      	it4--;
                    }
                    update(1ll * (it->first + it2->first) * it3->first, (1ll * tot * tot - tot2) / 2);
                }
                else if (it2->first == it3->first)
                {
                    int tot = 0;
                    auto it4 = it;
                    while (it4->first == it->first)
                    {
                        tot += it4->second;
                      	if (it4 == st.begin())
                        {
                            break;
                        }
                      	it4--;
                    }
                    update(1ll * (it->first + it2->first) * it3->first, 1ll * tot * (it2->second + it3->second));
                }
                else if (it->first == it2->first)
                {
                    int tot = it2->second;
                    long long tot2 = 1ll * it2->second * it2->second;
                    auto it4 = it;
                    while (it4->first == it->first)
                    {
                        tot += it4->second;
                        tot2 += 1ll * it4->second * it4->second;
                      	if (it4 == st.begin())
                        {
                            break;
                        }
                      	it4--;
                    }
                    update(1ll * (it->first + it2->first) * it3->first, (1ll * tot * tot - tot2) / 2);
                }
                else
                {
                    int tot = 0;
                    auto it4 = it;
                    while (it4->first == it->first)
                    {
                        tot += it4->second;
                      	if (it4 == st.begin())
                        {
                          	break;
                        }
                      	it4--;
                    }
                    update(1ll * (it->first + it2->first) * it3->first, 1ll * tot * 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: In lambda function:
road.cpp:26:31: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   26 |             for (int i = 0; i < g[u].size(); i++)
      |                             ~~^~~~~~~~~~~~~
road.cpp: In lambda function:
road.cpp:71:31: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   71 |             for (int i = 0; i < g[u].size(); i++)
      |                             ~~^~~~~~~~~~~~~
road.cpp:155:31: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  155 |             for (int i = 0; i < g[u].size(); i++)
      |                             ~~^~~~~~~~~~~~~
road.cpp:165:31: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  165 |             for (int i = 0; i < g[u].size(); i++)
      |                             ~~^~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 460 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 344 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 344 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 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 460 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 344 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 344 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 1884 KB Output is correct
27 Correct 3 ms 2096 KB Output is correct
28 Correct 4 ms 1976 KB Output is correct
29 Correct 3 ms 1884 KB Output is correct
30 Correct 3 ms 2140 KB Output is correct
31 Correct 3 ms 2204 KB Output is correct
32 Correct 3 ms 1880 KB Output is correct
33 Correct 3 ms 1884 KB Output is correct
34 Correct 3 ms 2140 KB Output is correct
35 Correct 3 ms 2140 KB Output is correct
36 Correct 3 ms 1884 KB Output is correct
37 Correct 3 ms 2236 KB Output is correct
38 Correct 6 ms 3164 KB Output is correct
39 Correct 3 ms 1760 KB Output is correct
40 Correct 3 ms 1372 KB Output is correct
41 Correct 3 ms 1112 KB Output is correct
42 Correct 4 ms 1024 KB Output is correct
43 Correct 3 ms 856 KB Output is correct
44 Correct 2 ms 860 KB Output is correct
45 Correct 2 ms 860 KB Output is correct
46 Correct 2 ms 868 KB Output is correct
47 Correct 3 ms 1116 KB Output is correct
48 Correct 3 ms 1112 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 460 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 344 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 344 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 1884 KB Output is correct
27 Correct 3 ms 2096 KB Output is correct
28 Correct 4 ms 1976 KB Output is correct
29 Correct 3 ms 1884 KB Output is correct
30 Correct 3 ms 2140 KB Output is correct
31 Correct 3 ms 2204 KB Output is correct
32 Correct 3 ms 1880 KB Output is correct
33 Correct 3 ms 1884 KB Output is correct
34 Correct 3 ms 2140 KB Output is correct
35 Correct 3 ms 2140 KB Output is correct
36 Correct 3 ms 1884 KB Output is correct
37 Correct 3 ms 2236 KB Output is correct
38 Correct 6 ms 3164 KB Output is correct
39 Correct 3 ms 1760 KB Output is correct
40 Correct 3 ms 1372 KB Output is correct
41 Correct 3 ms 1112 KB Output is correct
42 Correct 4 ms 1024 KB Output is correct
43 Correct 3 ms 856 KB Output is correct
44 Correct 2 ms 860 KB Output is correct
45 Correct 2 ms 860 KB Output is correct
46 Correct 2 ms 868 KB Output is correct
47 Correct 3 ms 1116 KB Output is correct
48 Correct 3 ms 1112 KB Output is correct
49 Correct 531 ms 143264 KB Output is correct
50 Correct 560 ms 157520 KB Output is correct
51 Correct 570 ms 169552 KB Output is correct
52 Correct 502 ms 126532 KB Output is correct
53 Correct 500 ms 170136 KB Output is correct
54 Correct 568 ms 186364 KB Output is correct
55 Correct 472 ms 146080 KB Output is correct
56 Correct 495 ms 163468 KB Output is correct
57 Correct 528 ms 182356 KB Output is correct
58 Correct 531 ms 166228 KB Output is correct
59 Correct 532 ms 166008 KB Output is correct
60 Correct 540 ms 158800 KB Output is correct
61 Runtime error 728 ms 262144 KB Execution killed with signal 9
62 Halted 0 ms 0 KB -