Submission #859890

# Submission time Handle Problem Language Result Execution time Memory
859890 2023-10-11T02:58:32 Z iskhakkutbilim Village (BOI20_village) C++17
100 / 100
59 ms 25024 KB
#include <bits/stdc++.h>
using namespace std;
 #define int long long
#define ff first
#define ss second
#define all(a) a.begin(), a.end()
const int mod = 1e9 + 7;
const int N = 2e5;
 
int dp[N], dp1[N], in[N], sub[N];
int n, ans, ans1;
vector<int> g[N];
int timer = 1;

void dfs(int v, int par){
	in[v] = timer++;
	sub[v] = 1;
	for(int to : g[v]){
		if(to != par){
			dfs(to, v);
			sub[v]+= sub[to];
		}
	}
	ans1+= 2 * min(sub[v], n - sub[v]);
	if(par != v && dp[v] == -1 && dp[par] == -1){
		dp[v] = par, dp[par] = v;
		ans+= 2;
	}
}

int centroid(int v, int par){
	for(int to : g[v]){
		if(to == par) continue;
		if(2 * sub[to] > n){
			return centroid(to, v);
		}
	}
	return v;
}

 
main(){
   ios::sync_with_stdio(0);
   cin.tie(0); cout.tie(0);
	for(int i = 0;i < N; i++){
		dp[i] = -1;
		dp1[i] = i;
	}
	cin >> n;
	for(int i = 0;i < n-1; i++){
		int a, b; cin >> a >> b;
		g[a].push_back(b);
		g[b].push_back(a);
	}
	int centre = centroid(1, 1);
	dfs(centre, centre);
	for(int i = 1;i <= n; i++){
		if(dp[i] == -1){
			int to = g[i][0];
			dp[i] = i;
			swap(dp[to], dp[i]);
			ans+= 2;
		}
	}
	vector<int> ord;
	vector<pair<int, int> > vec;
	for(int i = 1;i <= n; i++) vec.push_back({in[i], i});
	sort(all(vec));
	for(int i = 0;i < n; i++){
		ord.push_back(vec[i].ss);
	}
	for(int i = 0;i < n; i++){
		dp1[ord[i]] = ord[(i + n / 2) % n];
	}
	
	cout << ans << ' ' << ans1 << '\n';
	for(int i = 1;i <= n; i++) cout << dp[i] << ' ';
	cout << '\n';
	for(int  i= 1;i <= n; i++) cout << dp1[i] << ' ';
	return 0;
}

Compilation message

Village.cpp:42:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
   42 | main(){
      | ^~~~
# Verdict Execution time Memory Grader output
1 Correct 2 ms 11356 KB Output is correct
2 Correct 3 ms 11356 KB Output is correct
3 Correct 2 ms 11508 KB Output is correct
4 Correct 2 ms 11356 KB Output is correct
5 Correct 3 ms 11356 KB Output is correct
6 Correct 2 ms 11356 KB Output is correct
7 Correct 3 ms 11356 KB Output is correct
8 Correct 2 ms 11356 KB Output is correct
9 Correct 2 ms 11356 KB Output is correct
10 Correct 2 ms 11356 KB Output is correct
11 Correct 2 ms 11356 KB Output is correct
12 Correct 2 ms 11356 KB Output is correct
13 Correct 2 ms 11356 KB Output is correct
14 Correct 2 ms 11356 KB Output is correct
15 Correct 2 ms 11416 KB Output is correct
16 Correct 2 ms 11356 KB Output is correct
17 Correct 2 ms 11356 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 11356 KB Output is correct
2 Correct 2 ms 11356 KB Output is correct
3 Correct 2 ms 11356 KB Output is correct
4 Correct 3 ms 11356 KB Output is correct
5 Correct 2 ms 11368 KB Output is correct
6 Correct 3 ms 11356 KB Output is correct
7 Correct 2 ms 11356 KB Output is correct
8 Correct 3 ms 11356 KB Output is correct
9 Correct 2 ms 11352 KB Output is correct
10 Correct 2 ms 11356 KB Output is correct
11 Correct 2 ms 11356 KB Output is correct
12 Correct 2 ms 11356 KB Output is correct
13 Correct 3 ms 11356 KB Output is correct
14 Correct 2 ms 11356 KB Output is correct
15 Correct 3 ms 11356 KB Output is correct
16 Correct 2 ms 11356 KB Output is correct
17 Correct 2 ms 11356 KB Output is correct
18 Correct 2 ms 11352 KB Output is correct
19 Correct 2 ms 11356 KB Output is correct
20 Correct 2 ms 11356 KB Output is correct
21 Correct 2 ms 11356 KB Output is correct
22 Correct 2 ms 11352 KB Output is correct
23 Correct 2 ms 11352 KB Output is correct
24 Correct 3 ms 11356 KB Output is correct
25 Correct 2 ms 11356 KB Output is correct
26 Correct 2 ms 11356 KB Output is correct
27 Correct 3 ms 11352 KB Output is correct
28 Correct 2 ms 11356 KB Output is correct
29 Correct 3 ms 11356 KB Output is correct
30 Correct 2 ms 11356 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 11356 KB Output is correct
2 Correct 3 ms 11356 KB Output is correct
3 Correct 2 ms 11508 KB Output is correct
4 Correct 2 ms 11356 KB Output is correct
5 Correct 3 ms 11356 KB Output is correct
6 Correct 2 ms 11356 KB Output is correct
7 Correct 3 ms 11356 KB Output is correct
8 Correct 2 ms 11356 KB Output is correct
9 Correct 2 ms 11356 KB Output is correct
10 Correct 2 ms 11356 KB Output is correct
11 Correct 2 ms 11356 KB Output is correct
12 Correct 2 ms 11356 KB Output is correct
13 Correct 2 ms 11356 KB Output is correct
14 Correct 2 ms 11356 KB Output is correct
15 Correct 2 ms 11416 KB Output is correct
16 Correct 2 ms 11356 KB Output is correct
17 Correct 2 ms 11356 KB Output is correct
18 Correct 2 ms 11356 KB Output is correct
19 Correct 2 ms 11356 KB Output is correct
20 Correct 2 ms 11356 KB Output is correct
21 Correct 3 ms 11356 KB Output is correct
22 Correct 2 ms 11368 KB Output is correct
23 Correct 3 ms 11356 KB Output is correct
24 Correct 2 ms 11356 KB Output is correct
25 Correct 3 ms 11356 KB Output is correct
26 Correct 2 ms 11352 KB Output is correct
27 Correct 2 ms 11356 KB Output is correct
28 Correct 2 ms 11356 KB Output is correct
29 Correct 2 ms 11356 KB Output is correct
30 Correct 3 ms 11356 KB Output is correct
31 Correct 2 ms 11356 KB Output is correct
32 Correct 3 ms 11356 KB Output is correct
33 Correct 2 ms 11356 KB Output is correct
34 Correct 2 ms 11356 KB Output is correct
35 Correct 2 ms 11352 KB Output is correct
36 Correct 2 ms 11356 KB Output is correct
37 Correct 2 ms 11356 KB Output is correct
38 Correct 2 ms 11356 KB Output is correct
39 Correct 2 ms 11352 KB Output is correct
40 Correct 2 ms 11352 KB Output is correct
41 Correct 3 ms 11356 KB Output is correct
42 Correct 2 ms 11356 KB Output is correct
43 Correct 2 ms 11356 KB Output is correct
44 Correct 3 ms 11352 KB Output is correct
45 Correct 2 ms 11356 KB Output is correct
46 Correct 3 ms 11356 KB Output is correct
47 Correct 2 ms 11356 KB Output is correct
48 Correct 44 ms 18988 KB Output is correct
49 Correct 54 ms 19632 KB Output is correct
50 Correct 48 ms 19648 KB Output is correct
51 Correct 42 ms 18116 KB Output is correct
52 Correct 57 ms 19644 KB Output is correct
53 Correct 42 ms 18748 KB Output is correct
54 Correct 30 ms 17876 KB Output is correct
55 Correct 52 ms 25024 KB Output is correct
56 Correct 58 ms 22468 KB Output is correct
57 Correct 52 ms 21464 KB Output is correct
58 Correct 49 ms 20420 KB Output is correct
59 Correct 47 ms 19652 KB Output is correct
60 Correct 49 ms 19668 KB Output is correct
61 Correct 49 ms 19816 KB Output is correct
62 Correct 44 ms 19940 KB Output is correct
63 Correct 45 ms 19400 KB Output is correct
64 Correct 45 ms 19908 KB Output is correct
65 Correct 42 ms 20220 KB Output is correct
66 Correct 42 ms 19396 KB Output is correct
67 Correct 41 ms 17856 KB Output is correct
68 Correct 40 ms 18804 KB Output is correct
69 Correct 53 ms 20164 KB Output is correct
70 Correct 48 ms 19876 KB Output is correct
71 Correct 30 ms 17868 KB Output is correct
72 Correct 35 ms 18368 KB Output is correct
73 Correct 46 ms 20736 KB Output is correct
74 Correct 39 ms 19460 KB Output is correct
75 Correct 49 ms 20164 KB Output is correct
76 Correct 55 ms 19484 KB Output is correct
77 Correct 48 ms 19904 KB Output is correct
78 Correct 32 ms 17348 KB Output is correct
79 Correct 36 ms 18888 KB Output is correct
80 Correct 48 ms 20064 KB Output is correct
81 Correct 59 ms 20172 KB Output is correct
82 Correct 43 ms 19916 KB Output is correct