Submission #372725

# Submission time Handle Problem Language Result Execution time Memory
372725 2021-03-01T11:29:57 Z hivakarami Beads and wires (APIO14_beads) C++14
100 / 100
476 ms 49884 KB
#include<bits/stdc++.h>
 
using namespace std;
 
typedef long long int ll;
typedef long double ld;
#define f first
#define s second
 
const int N = 2e5 + 100;
const ll mod = 998244353;
const ll inf = 1e9 + 100;

ll dp[4][N], par[N], ans = 0, e[N];
vector<pair<ll, ll>> adj[N];
multiset<ll, greater<ll>> st[N];
int n;


inline void upd(int u)
{
	dp[1][u] = dp[0][u];
	if(st[u].size() > 0)
	{
		ll w = *(st[u].begin());
		dp[1][u] += max(0ll, w + e[u]);
	}
}


void dfs(int u)
{
	for(auto it : adj[u])
	{
		int x = it.f;
		ll w = it.s;
		if(x != par[u])
		{
			par[x] = u;
			e[x] = w;
			dfs(x);
			dp[0][u] += dp[1][x];
			st[u].insert(dp[0][x] - dp[1][x] + e[x]);
		}
	}
	
	upd(u);
	
	//cout << u << ' ' << dp[1][u] << ' ' << dp[2][u] << endl;
}

inline void move_root(int x, int u, ll w)
{
	dp[0][x] -= dp[1][u];
	st[x].erase(st[x].find(dp[0][u]-dp[1][u]+w));
	e[x] = w;
	upd(x);
	
	dp[0][u] += dp[1][x];
	e[u] = 0;
	st[u].insert(dp[0][x]-dp[1][x]+e[x]);
	upd(u);
}



void DFS(int u)
{
	ans = max(ans, dp[0][u]);
	for(auto it : adj[u])
	{
		int x = it.f;
		ll w = it.s;
		if(x == par[u])
			continue;
		move_root(u, x, w);
		DFS(x);
		move_root(x, u, w);
	
	}
}





int main()
{
    ios_base::sync_with_stdio(false), cin.tie(0), cout.tie(0);	
	
	cin >> n;
	for(int i = 0; i < n-1; i++)
	{
		int x, y;
		ll w;
		cin >> x >> y >> w;
		x--; y--;
		adj[x].push_back({y, w});
		adj[y].push_back({x, w});
	}
	
	
	dfs(0);
	
	DFS(0);
		
	cout << ans << endl;
	
	
		
		
	return 0;
}





# Verdict Execution time Memory Grader output
1 Correct 10 ms 14444 KB Output is correct
2 Correct 10 ms 14444 KB Output is correct
3 Correct 10 ms 14464 KB Output is correct
4 Correct 10 ms 14456 KB Output is correct
5 Correct 10 ms 14444 KB Output is correct
6 Correct 12 ms 14444 KB Output is correct
7 Correct 10 ms 14444 KB Output is correct
8 Correct 10 ms 14444 KB Output is correct
9 Correct 11 ms 14444 KB Output is correct
10 Correct 10 ms 14444 KB Output is correct
11 Correct 10 ms 14444 KB Output is correct
12 Correct 10 ms 14444 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 10 ms 14444 KB Output is correct
2 Correct 10 ms 14444 KB Output is correct
3 Correct 10 ms 14464 KB Output is correct
4 Correct 10 ms 14456 KB Output is correct
5 Correct 10 ms 14444 KB Output is correct
6 Correct 12 ms 14444 KB Output is correct
7 Correct 10 ms 14444 KB Output is correct
8 Correct 10 ms 14444 KB Output is correct
9 Correct 11 ms 14444 KB Output is correct
10 Correct 10 ms 14444 KB Output is correct
11 Correct 10 ms 14444 KB Output is correct
12 Correct 10 ms 14444 KB Output is correct
13 Correct 11 ms 14444 KB Output is correct
14 Correct 10 ms 14444 KB Output is correct
15 Correct 11 ms 14444 KB Output is correct
16 Correct 11 ms 14572 KB Output is correct
17 Correct 11 ms 14444 KB Output is correct
18 Correct 11 ms 14444 KB Output is correct
19 Correct 11 ms 14444 KB Output is correct
20 Correct 10 ms 14444 KB Output is correct
21 Correct 10 ms 14444 KB Output is correct
22 Correct 10 ms 14444 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 10 ms 14444 KB Output is correct
2 Correct 10 ms 14444 KB Output is correct
3 Correct 10 ms 14464 KB Output is correct
4 Correct 10 ms 14456 KB Output is correct
5 Correct 10 ms 14444 KB Output is correct
6 Correct 12 ms 14444 KB Output is correct
7 Correct 10 ms 14444 KB Output is correct
8 Correct 10 ms 14444 KB Output is correct
9 Correct 11 ms 14444 KB Output is correct
10 Correct 10 ms 14444 KB Output is correct
11 Correct 10 ms 14444 KB Output is correct
12 Correct 10 ms 14444 KB Output is correct
13 Correct 11 ms 14444 KB Output is correct
14 Correct 10 ms 14444 KB Output is correct
15 Correct 11 ms 14444 KB Output is correct
16 Correct 11 ms 14572 KB Output is correct
17 Correct 11 ms 14444 KB Output is correct
18 Correct 11 ms 14444 KB Output is correct
19 Correct 11 ms 14444 KB Output is correct
20 Correct 10 ms 14444 KB Output is correct
21 Correct 10 ms 14444 KB Output is correct
22 Correct 10 ms 14444 KB Output is correct
23 Correct 14 ms 15212 KB Output is correct
24 Correct 14 ms 15212 KB Output is correct
25 Correct 15 ms 15212 KB Output is correct
26 Correct 19 ms 15852 KB Output is correct
27 Correct 19 ms 15852 KB Output is correct
28 Correct 21 ms 15848 KB Output is correct
29 Correct 22 ms 15852 KB Output is correct
30 Correct 20 ms 15852 KB Output is correct
31 Correct 21 ms 16492 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 10 ms 14444 KB Output is correct
2 Correct 10 ms 14444 KB Output is correct
3 Correct 10 ms 14464 KB Output is correct
4 Correct 10 ms 14456 KB Output is correct
5 Correct 10 ms 14444 KB Output is correct
6 Correct 12 ms 14444 KB Output is correct
7 Correct 10 ms 14444 KB Output is correct
8 Correct 10 ms 14444 KB Output is correct
9 Correct 11 ms 14444 KB Output is correct
10 Correct 10 ms 14444 KB Output is correct
11 Correct 10 ms 14444 KB Output is correct
12 Correct 10 ms 14444 KB Output is correct
13 Correct 11 ms 14444 KB Output is correct
14 Correct 10 ms 14444 KB Output is correct
15 Correct 11 ms 14444 KB Output is correct
16 Correct 11 ms 14572 KB Output is correct
17 Correct 11 ms 14444 KB Output is correct
18 Correct 11 ms 14444 KB Output is correct
19 Correct 11 ms 14444 KB Output is correct
20 Correct 10 ms 14444 KB Output is correct
21 Correct 10 ms 14444 KB Output is correct
22 Correct 10 ms 14444 KB Output is correct
23 Correct 14 ms 15212 KB Output is correct
24 Correct 14 ms 15212 KB Output is correct
25 Correct 15 ms 15212 KB Output is correct
26 Correct 19 ms 15852 KB Output is correct
27 Correct 19 ms 15852 KB Output is correct
28 Correct 21 ms 15848 KB Output is correct
29 Correct 22 ms 15852 KB Output is correct
30 Correct 20 ms 15852 KB Output is correct
31 Correct 21 ms 16492 KB Output is correct
32 Correct 73 ms 21740 KB Output is correct
33 Correct 80 ms 21740 KB Output is correct
34 Correct 76 ms 21740 KB Output is correct
35 Correct 387 ms 43884 KB Output is correct
36 Correct 391 ms 44012 KB Output is correct
37 Correct 388 ms 43884 KB Output is correct
38 Correct 476 ms 43512 KB Output is correct
39 Correct 450 ms 43160 KB Output is correct
40 Correct 441 ms 43080 KB Output is correct
41 Correct 442 ms 49884 KB Output is correct