Submission #947636

# Submission time Handle Problem Language Result Execution time Memory
947636 2024-03-16T17:06:44 Z atom Hard route (IZhO17_road) C++17
52 / 100
565 ms 1364 KB
#include "bits/stdc++.h"
// @JASPER'S BOILERPLATE
using namespace std;
using ll = long long;

#ifdef JASPER
#include "debug.h"
#else
#define debug(...) 166
#endif

const int N = 5e3 + 5;
const int INF = 1e9;
int n;
vector <int> adj[N];
ll ans, cnt;
using T = pair <ll, ll>;

T dp[N];
// <maximum distance from current node, number of ways>
void dfs(int u, int p, int dep) {
    dp[u] = make_pair(dep, 1);
    for (int v : adj[u]) {
        if (v == p) continue;
        dfs(v, u, dep + 1);
        if (dp[u].first < dp[v].first)
            dp[u] = make_pair(dp[v].first, dp[v].second);
        else if (dp[u].first == dp[v].first)
            dp[u].second += dp[v].second;
    }
}

signed main() {
    cin.tie(0) -> sync_with_stdio(0);

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

    //sub2: O(n^2)
    ans = 0, cnt = 1;
    for (int u = 1; u <= n; ++u) {
        dfs(u, u, 0);

        vector <T> cand;
        for (int v : adj[u]) cand.push_back(dp[v]);
        sort(cand.rbegin(), cand.rend());
        debug(cand);
        if ((int) cand.size() <= 2) continue; // at least three candidates;

        ll hardness = cand[0].first * (cand[1].first + cand[2].first);
        ll cur_cnt = 0;
        ll d = 0;
        for (int i = 0; i < (int) (cand.size()); ++i) {
            if (cand[i].first == cand[2].first) cur_cnt += d * cand[2].second;
            if (cand[i].first == cand[1].first) d += cand[i].second;
            
        }
        if (ans < hardness) {
            ans = hardness;
            cnt = cur_cnt;
        }
        else if (ans == hardness)
            cnt += cur_cnt;
    }

    cout << ans << " " << cnt << "\n";

    return 0;
}

/*
    leaf nodes always product maximum distance?
*/

Compilation message

road.cpp: In function 'int main()':
road.cpp:9:20: warning: statement has no effect [-Wunused-value]
    9 | #define debug(...) 166
      |                    ^~~
road.cpp:51:9: note: in expansion of macro 'debug'
   51 |         debug(cand);
      |         ^~~~~
# Verdict Execution time Memory Grader output
1 Correct 1 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 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 1 ms 348 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 1 ms 584 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 1 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 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 0 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 1 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 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 1 ms 348 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 1 ms 584 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 1 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 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 0 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 278 ms 1104 KB Output is correct
26 Correct 288 ms 1044 KB Output is correct
27 Correct 287 ms 860 KB Output is correct
28 Correct 274 ms 1112 KB Output is correct
29 Correct 205 ms 856 KB Output is correct
30 Correct 206 ms 856 KB Output is correct
31 Correct 230 ms 1036 KB Output is correct
32 Correct 203 ms 1028 KB Output is correct
33 Correct 306 ms 1116 KB Output is correct
34 Correct 304 ms 1364 KB Output is correct
35 Correct 316 ms 1116 KB Output is correct
36 Correct 324 ms 1128 KB Output is correct
37 Correct 565 ms 1224 KB Output is correct
38 Correct 538 ms 1224 KB Output is correct
39 Correct 451 ms 1004 KB Output is correct
40 Correct 420 ms 912 KB Output is correct
41 Correct 463 ms 872 KB Output is correct
42 Correct 404 ms 860 KB Output is correct
43 Correct 351 ms 856 KB Output is correct
44 Correct 351 ms 860 KB Output is correct
45 Correct 288 ms 816 KB Output is correct
46 Correct 181 ms 604 KB Output is correct
47 Correct 202 ms 856 KB Output is correct
48 Correct 126 ms 864 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 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 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 1 ms 348 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 1 ms 584 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 1 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 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 0 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 278 ms 1104 KB Output is correct
26 Correct 288 ms 1044 KB Output is correct
27 Correct 287 ms 860 KB Output is correct
28 Correct 274 ms 1112 KB Output is correct
29 Correct 205 ms 856 KB Output is correct
30 Correct 206 ms 856 KB Output is correct
31 Correct 230 ms 1036 KB Output is correct
32 Correct 203 ms 1028 KB Output is correct
33 Correct 306 ms 1116 KB Output is correct
34 Correct 304 ms 1364 KB Output is correct
35 Correct 316 ms 1116 KB Output is correct
36 Correct 324 ms 1128 KB Output is correct
37 Correct 565 ms 1224 KB Output is correct
38 Correct 538 ms 1224 KB Output is correct
39 Correct 451 ms 1004 KB Output is correct
40 Correct 420 ms 912 KB Output is correct
41 Correct 463 ms 872 KB Output is correct
42 Correct 404 ms 860 KB Output is correct
43 Correct 351 ms 856 KB Output is correct
44 Correct 351 ms 860 KB Output is correct
45 Correct 288 ms 816 KB Output is correct
46 Correct 181 ms 604 KB Output is correct
47 Correct 202 ms 856 KB Output is correct
48 Correct 126 ms 864 KB Output is correct
49 Runtime error 1 ms 856 KB Execution killed with signal 11
50 Halted 0 ms 0 KB -