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Submission #960630

# Submission time Handle Problem Language Result Execution time Memory
960630 2024-04-10T18:03:50 Z Turkhuu Hard route (IZhO17_road) C++17
100 / 100
 628 ms 179280 KB 
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
const int inf = -1e9;
struct S {
    int mx, fq;
    S() : mx(inf), fq(0) {}
    S(int v, int c) : mx(v), fq(c) {}
};
S f(const S &a, const S &b) {
    if (a.mx > b.mx) return a;
    if (b.mx > a.mx) return b;
    return S(a.mx, a.fq + b.fq);
}
S g(S a) {
    a.mx++;
    return a;
}
int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    int N;
    cin >> N;
    vector<vector<int>> adj(N), ch(N);
    for (int i = 0; i < N - 1; i++) {
        int a, b;
        cin >> a >> b;
        a--, b--;
        adj[a].push_back(b);
        adj[b].push_back(a);
    }
    vector<S> dp(N), pd(N);
    function<void(int, int)> dfs = [&](int x, int p) {
        if (x && adj[x].size() == 1) {
            dp[x] = S(0, 1);
            return;
        }
        for (int y : adj[x]){ 
            if (y == p) continue;
            dfs(y, x);
            dp[x] = f(dp[x], g(dp[y]));
            ch[x].push_back(y);
        }
    };
    dfs(0, -1);
    ll ans = 0, cnt = 1;
    function<void(int)> rer = [&](int x) {
        if (adj[x].size() > 2) {
            vector<S> a{g(pd[x])};
            for (int y : ch[x]) a.push_back(g(dp[y]));
            sort(a.begin(), a.end(), [&](auto &s, auto &t) {
                return s.mx > t.mx;
            });
            ll v = 1LL * a[0].mx * (a[1].mx + a[2].mx), c = 0;
            if (a[1].mx == a[2].mx) {
                for (auto &s : a) if (s.mx == a[1].mx) c += s.fq;
                c *= c;
                for (auto &s : a) if (s.mx == a[1].mx) c -= 1LL * s.fq * s.fq;
                c /= 2;
            } else {
                int c1 = 0, c2 = 0;
                for (auto &s : a) {
                    if (s.mx == a[1].mx) c1 += s.fq;
                    if (s.mx == a[2].mx) c2 += s.fq;
                }
                c = 1LL * c1 * c2;
            }
            if (v > ans) ans = v, cnt = c;
            else if (v == ans) cnt += c;
        }
        int K = ch[x].size(); if (K == 0) return;
        vector<S> pre(K + 1), suf(K + 1);
        for (int i = 0; i < K; i++) pre[i + 1] = f(pre[i], dp[ch[x][i]]);
        for (int i = K - 1; i; i--) suf[i - 1] = f(suf[i], dp[ch[x][i]]);
        for (int i = 0; i < K; i++) {
            int y = ch[x][i];
            if (x == 0 && K == 1) pd[y] = S(0, 1);
            else pd[y] = g(f(f(pre[i], suf[i]), pd[x]));
            rer(y);
        }
    };
    rer(0);
    cout << ans << " " << cnt;
    return 6/22;
}

Subtask #1
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 1 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 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 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 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 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 0 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 0 ms 344 KB Output is correct
22 Correct 2 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct

Subtask #2
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 1 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 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 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 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 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 0 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 0 ms 344 KB Output is correct
22 Correct 2 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 2 ms 1180 KB Output is correct
26 Correct 2 ms 1372 KB Output is correct
27 Correct 2 ms 1372 KB Output is correct
28 Correct 2 ms 1372 KB Output is correct
29 Correct 2 ms 1372 KB Output is correct
30 Correct 2 ms 1372 KB Output is correct
31 Correct 4 ms 1244 KB Output is correct
32 Correct 4 ms 1116 KB Output is correct
33 Correct 2 ms 1372 KB Output is correct
34 Correct 3 ms 1628 KB Output is correct
35 Correct 2 ms 1628 KB Output is correct
36 Correct 3 ms 1320 KB Output is correct
37 Correct 3 ms 1624 KB Output is correct
38 Correct 3 ms 2140 KB Output is correct
39 Correct 2 ms 1372 KB Output is correct
40 Correct 2 ms 1096 KB Output is correct
41 Correct 2 ms 1116 KB Output is correct
42 Correct 2 ms 860 KB Output is correct
43 Correct 2 ms 860 KB Output is correct
44 Correct 2 ms 860 KB Output is correct
45 Correct 2 ms 856 KB Output is correct
46 Correct 2 ms 860 KB Output is correct
47 Correct 2 ms 860 KB Output is correct
48 Correct 2 ms 860 KB Output is correct

Subtask #3
48.0 / 48.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 1 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 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 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 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 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 0 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 0 ms 344 KB Output is correct
22 Correct 2 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 2 ms 1180 KB Output is correct
26 Correct 2 ms 1372 KB Output is correct
27 Correct 2 ms 1372 KB Output is correct
28 Correct 2 ms 1372 KB Output is correct
29 Correct 2 ms 1372 KB Output is correct
30 Correct 2 ms 1372 KB Output is correct
31 Correct 4 ms 1244 KB Output is correct
32 Correct 4 ms 1116 KB Output is correct
33 Correct 2 ms 1372 KB Output is correct
34 Correct 3 ms 1628 KB Output is correct
35 Correct 2 ms 1628 KB Output is correct
36 Correct 3 ms 1320 KB Output is correct
37 Correct 3 ms 1624 KB Output is correct
38 Correct 3 ms 2140 KB Output is correct
39 Correct 2 ms 1372 KB Output is correct
40 Correct 2 ms 1096 KB Output is correct
41 Correct 2 ms 1116 KB Output is correct
42 Correct 2 ms 860 KB Output is correct
43 Correct 2 ms 860 KB Output is correct
44 Correct 2 ms 860 KB Output is correct
45 Correct 2 ms 856 KB Output is correct
46 Correct 2 ms 860 KB Output is correct
47 Correct 2 ms 860 KB Output is correct
48 Correct 2 ms 860 KB Output is correct
49 Correct 459 ms 100188 KB Output is correct
50 Correct 470 ms 115024 KB Output is correct
51 Correct 442 ms 121376 KB Output is correct
52 Correct 433 ms 98108 KB Output is correct
53 Correct 444 ms 106828 KB Output is correct
54 Correct 467 ms 113824 KB Output is correct
55 Correct 434 ms 96340 KB Output is correct
56 Correct 431 ms 103864 KB Output is correct
57 Correct 454 ms 129828 KB Output is correct
58 Correct 442 ms 121288 KB Output is correct
59 Correct 458 ms 121168 KB Output is correct
60 Correct 475 ms 117212 KB Output is correct
61 Correct 628 ms 179280 KB Output is correct
62 Correct 628 ms 159252 KB Output is correct
63 Correct 612 ms 101432 KB Output is correct
64 Correct 594 ms 87820 KB Output is correct
65 Correct 578 ms 78928 KB Output is correct
66 Correct 572 ms 74368 KB Output is correct
67 Correct 581 ms 71876 KB Output is correct
68 Correct 541 ms 70852 KB Output is correct
69 Correct 571 ms 70280 KB Output is correct
70 Correct 526 ms 70160 KB Output is correct
71 Correct 585 ms 70100 KB Output is correct
72 Correct 520 ms 70228 KB Output is correct
73 Correct 562 ms 70136 KB Output is correct
74 Correct 545 ms 69940 KB Output is correct
75 Correct 540 ms 69748 KB Output is correct
76 Correct 464 ms 69132 KB Output is correct
77 Correct 411 ms 68060 KB Output is correct
78 Correct 242 ms 66180 KB Output is correct