Submission #1002577

# Submission time Handle Problem Language Result Execution time Memory
1002577 2024-06-19T16:22:56 Z BF001 Hard route (IZhO17_road) C++17
100 / 100
368 ms 105044 KB
#include <bits/stdc++.h>
using namespace std;

#define int long long
#define N 500005
#define fi first
#define se second

typedef pair<int, int> ii;

int ma[N], cnt[N], n, res, way = 1;
vector<int> adj[N];

void dfs(int u, int p){
	cnt[u] = 1;
	for (auto x : adj[u]){
		if (x == p) continue;
		dfs(x, u);
		if (ma[x] + 1 == ma[u]){
			cnt[u] += cnt[x];
		}
		else if (ma[x] + 1 > ma[u]){
			ma[u] = ma[x] + 1;
			cnt[u] = cnt[x];
		}
	}
}

bool cmp(int& a, int& b){
	return ma[a] > ma[b];
}

void rr(int u, int p){
	sort(adj[u].begin(), adj[u].end(), cmp);
	if (adj[u].size() >= 3){
		int a = ma[adj[u][0]] + 1, b = ma[adj[u][1]] + 1, c = ma[adj[u][2]] + 1;
		int m = a * (b + c);
		int w = 0;
		int db = 0;
		a--, b--, c--;
		for (auto x : adj[u]){
			if (ma[x] == c) w += cnt[x] * db;
			if (ma[x] == b) db += cnt[x]; 
		}
		if (m > res) res = m, way = w;
		else if (m == res) way += w;
	}
	ii fir = {0, 1}, sed = {0, 1};
	int tma = ma[u], tmw = cnt[u];
	for (auto x : adj[u]){
		if (ma[x]  + 1> fir.fi){
			sed = fir;
			fir = {ma[x] + 1, cnt[x]};
		}
		else if (ma[x] + 1 == fir.fi) fir.se += cnt[x];
		else if (ma[x] + 1 > sed.fi){
			sed = {ma[x] + 1, cnt[x]};
		}
		else if (ma[x] + 1 == sed.fi) sed.se += cnt[x];
	}
	for (auto x : adj[u]){
		if (x == p) continue;
		ma[u] = fir.fi, cnt[u] = fir.se;
		if (fir.fi == ma[x] + 1 && fir.se == cnt[x]) ma[u] = sed.fi , cnt[u] = sed.se;
		else if (fir.fi == ma[x] + 1) cnt[u] -= cnt[x];
		rr(x, u);
	}
	ma[u] = tma, cnt[u] = tmw;
}

signed main(){
    ios_base::sync_with_stdio(0);
    cin.tie(NULL);
      
    cin >> n;
    for (int i = 1; i <= n - 1; i++){
    	int u, v;
    	cin >> u >> v;
    	adj[u].push_back(v);
    	adj[v].push_back(u);
    }

    dfs(1, 0);
    rr(1, 0);

    cout << res << " " << way;

    return 0;
}     
# Verdict Execution time Memory Grader output
1 Correct 3 ms 12124 KB Output is correct
2 Correct 2 ms 12124 KB Output is correct
3 Correct 3 ms 12124 KB Output is correct
4 Correct 3 ms 12124 KB Output is correct
5 Correct 3 ms 12208 KB Output is correct
6 Correct 2 ms 12124 KB Output is correct
7 Correct 3 ms 12124 KB Output is correct
8 Correct 3 ms 12124 KB Output is correct
9 Correct 3 ms 12124 KB Output is correct
10 Correct 3 ms 12120 KB Output is correct
11 Correct 3 ms 12120 KB Output is correct
12 Correct 3 ms 12204 KB Output is correct
13 Correct 2 ms 12000 KB Output is correct
14 Correct 3 ms 12124 KB Output is correct
15 Correct 3 ms 12124 KB Output is correct
16 Correct 3 ms 12120 KB Output is correct
17 Correct 5 ms 12120 KB Output is correct
18 Correct 5 ms 12124 KB Output is correct
19 Correct 4 ms 12124 KB Output is correct
20 Correct 4 ms 12124 KB Output is correct
21 Correct 4 ms 12124 KB Output is correct
22 Correct 7 ms 12224 KB Output is correct
23 Correct 5 ms 12124 KB Output is correct
24 Correct 4 ms 12124 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 12124 KB Output is correct
2 Correct 2 ms 12124 KB Output is correct
3 Correct 3 ms 12124 KB Output is correct
4 Correct 3 ms 12124 KB Output is correct
5 Correct 3 ms 12208 KB Output is correct
6 Correct 2 ms 12124 KB Output is correct
7 Correct 3 ms 12124 KB Output is correct
8 Correct 3 ms 12124 KB Output is correct
9 Correct 3 ms 12124 KB Output is correct
10 Correct 3 ms 12120 KB Output is correct
11 Correct 3 ms 12120 KB Output is correct
12 Correct 3 ms 12204 KB Output is correct
13 Correct 2 ms 12000 KB Output is correct
14 Correct 3 ms 12124 KB Output is correct
15 Correct 3 ms 12124 KB Output is correct
16 Correct 3 ms 12120 KB Output is correct
17 Correct 5 ms 12120 KB Output is correct
18 Correct 5 ms 12124 KB Output is correct
19 Correct 4 ms 12124 KB Output is correct
20 Correct 4 ms 12124 KB Output is correct
21 Correct 4 ms 12124 KB Output is correct
22 Correct 7 ms 12224 KB Output is correct
23 Correct 5 ms 12124 KB Output is correct
24 Correct 4 ms 12124 KB Output is correct
25 Correct 6 ms 12616 KB Output is correct
26 Correct 6 ms 12636 KB Output is correct
27 Correct 6 ms 12636 KB Output is correct
28 Correct 5 ms 12620 KB Output is correct
29 Correct 6 ms 12628 KB Output is correct
30 Correct 6 ms 12636 KB Output is correct
31 Correct 8 ms 12700 KB Output is correct
32 Correct 6 ms 12636 KB Output is correct
33 Correct 5 ms 12636 KB Output is correct
34 Correct 10 ms 12632 KB Output is correct
35 Correct 6 ms 12632 KB Output is correct
36 Correct 9 ms 12636 KB Output is correct
37 Correct 7 ms 12632 KB Output is correct
38 Correct 4 ms 12892 KB Output is correct
39 Correct 4 ms 12628 KB Output is correct
40 Correct 4 ms 12376 KB Output is correct
41 Correct 6 ms 12376 KB Output is correct
42 Correct 4 ms 12380 KB Output is correct
43 Correct 5 ms 12380 KB Output is correct
44 Correct 4 ms 12352 KB Output is correct
45 Correct 4 ms 12376 KB Output is correct
46 Correct 4 ms 12380 KB Output is correct
47 Correct 4 ms 12380 KB Output is correct
48 Correct 5 ms 12380 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 12124 KB Output is correct
2 Correct 2 ms 12124 KB Output is correct
3 Correct 3 ms 12124 KB Output is correct
4 Correct 3 ms 12124 KB Output is correct
5 Correct 3 ms 12208 KB Output is correct
6 Correct 2 ms 12124 KB Output is correct
7 Correct 3 ms 12124 KB Output is correct
8 Correct 3 ms 12124 KB Output is correct
9 Correct 3 ms 12124 KB Output is correct
10 Correct 3 ms 12120 KB Output is correct
11 Correct 3 ms 12120 KB Output is correct
12 Correct 3 ms 12204 KB Output is correct
13 Correct 2 ms 12000 KB Output is correct
14 Correct 3 ms 12124 KB Output is correct
15 Correct 3 ms 12124 KB Output is correct
16 Correct 3 ms 12120 KB Output is correct
17 Correct 5 ms 12120 KB Output is correct
18 Correct 5 ms 12124 KB Output is correct
19 Correct 4 ms 12124 KB Output is correct
20 Correct 4 ms 12124 KB Output is correct
21 Correct 4 ms 12124 KB Output is correct
22 Correct 7 ms 12224 KB Output is correct
23 Correct 5 ms 12124 KB Output is correct
24 Correct 4 ms 12124 KB Output is correct
25 Correct 6 ms 12616 KB Output is correct
26 Correct 6 ms 12636 KB Output is correct
27 Correct 6 ms 12636 KB Output is correct
28 Correct 5 ms 12620 KB Output is correct
29 Correct 6 ms 12628 KB Output is correct
30 Correct 6 ms 12636 KB Output is correct
31 Correct 8 ms 12700 KB Output is correct
32 Correct 6 ms 12636 KB Output is correct
33 Correct 5 ms 12636 KB Output is correct
34 Correct 10 ms 12632 KB Output is correct
35 Correct 6 ms 12632 KB Output is correct
36 Correct 9 ms 12636 KB Output is correct
37 Correct 7 ms 12632 KB Output is correct
38 Correct 4 ms 12892 KB Output is correct
39 Correct 4 ms 12628 KB Output is correct
40 Correct 4 ms 12376 KB Output is correct
41 Correct 6 ms 12376 KB Output is correct
42 Correct 4 ms 12380 KB Output is correct
43 Correct 5 ms 12380 KB Output is correct
44 Correct 4 ms 12352 KB Output is correct
45 Correct 4 ms 12376 KB Output is correct
46 Correct 4 ms 12380 KB Output is correct
47 Correct 4 ms 12380 KB Output is correct
48 Correct 5 ms 12380 KB Output is correct
49 Correct 234 ms 67340 KB Output is correct
50 Correct 225 ms 71772 KB Output is correct
51 Correct 218 ms 75552 KB Output is correct
52 Correct 234 ms 62424 KB Output is correct
53 Correct 200 ms 71908 KB Output is correct
54 Correct 197 ms 76112 KB Output is correct
55 Correct 190 ms 66100 KB Output is correct
56 Correct 183 ms 70376 KB Output is correct
57 Correct 186 ms 76880 KB Output is correct
58 Correct 201 ms 72016 KB Output is correct
59 Correct 215 ms 71828 KB Output is correct
60 Correct 189 ms 69460 KB Output is correct
61 Correct 336 ms 105044 KB Output is correct
62 Correct 368 ms 93780 KB Output is correct
63 Correct 356 ms 60724 KB Output is correct
64 Correct 308 ms 52632 KB Output is correct
65 Correct 352 ms 47816 KB Output is correct
66 Correct 256 ms 44964 KB Output is correct
67 Correct 359 ms 43604 KB Output is correct
68 Correct 264 ms 43088 KB Output is correct
69 Correct 277 ms 42816 KB Output is correct
70 Correct 279 ms 42576 KB Output is correct
71 Correct 300 ms 42708 KB Output is correct
72 Correct 280 ms 42580 KB Output is correct
73 Correct 255 ms 42832 KB Output is correct
74 Correct 303 ms 42720 KB Output is correct
75 Correct 305 ms 43096 KB Output is correct
76 Correct 259 ms 43352 KB Output is correct
77 Correct 251 ms 44480 KB Output is correct
78 Correct 152 ms 46772 KB Output is correct