Submission #538709

# Submission time Handle Problem Language Result Execution time Memory
538709 2022-03-17T15:03:12 Z S2speed Beads and wires (APIO14_beads) C++17
100 / 100
558 ms 55360 KB
#include<bits/stdc++.h>

using namespace std;

#define all(x) x.begin() , x.end()
typedef long long ll;
typedef pair<ll , ll> pll;

const ll maxn = 2e5 + 16 , inf = 2e16;

ll dp[maxn][2] , w[maxn];
vector<pll> adj[maxn];
multiset<ll , greater<ll>> s[maxn];

void dDFS(ll r , ll par){
	ll res = 0 , mx;
	s[r].insert(-inf);
	for(auto p : adj[r]){
		ll i = p.first , w = p.second;
		if(i == par) continue;
		dDFS(i , r);
		ll h = max(dp[i][0] , dp[i][1] + w) , o = dp[i][0] + w - h;
		res += h;
		s[r].insert(o);
	}
	dp[r][1] = res + *s[r].begin();
	dp[r][0] = res;
	return;
}

void reroot(ll v , ll u , ll w){
	ll h = max(dp[u][0] , dp[u][1] + w) , o = dp[u][0] + w - h;
	s[v].erase(s[v].find(o));
	dp[v][0] -= h;
	dp[v][1] = dp[v][0] + *s[v].begin();
	h = max(dp[v][0] , dp[v][1] + w); o = dp[v][0] + w - h;
	s[u].insert(o);
	dp[u][0] += h;
	dp[u][1] = dp[u][0] + *s[u].begin();
	return;
}

ll ans = 0;

void rDFS(ll r , ll par){
	ans = max(ans , dp[r][0]);
	for(auto p : adj[r]){
		ll i = p.first , w = p.second;
		if(i == par) continue;
		reroot(r , i , w);
		rDFS(i , r);
		reroot(i , r , w);
	}
	return;
}

int main(){
	ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);

	ll n;
	cin>>n;
	for(ll i = 1 ; i < n ; i++){
		ll v , u , w;
		cin>>v>>u>>w; v--; u--;
		adj[v].push_back({u , w}); adj[u].push_back({v , w});
	}
	dDFS(0 , -1);
	rDFS(0 , -1);
	cout<<ans<<'\n';
	return 0;
}

Compilation message

beads.cpp: In function 'void dDFS(ll, ll)':
beads.cpp:16:15: warning: unused variable 'mx' [-Wunused-variable]
   16 |  ll res = 0 , mx;
      |               ^~
# Verdict Execution time Memory Grader output
1 Correct 8 ms 14420 KB Output is correct
2 Correct 8 ms 14420 KB Output is correct
3 Correct 8 ms 14420 KB Output is correct
4 Correct 10 ms 14420 KB Output is correct
5 Correct 9 ms 14420 KB Output is correct
6 Correct 7 ms 14420 KB Output is correct
7 Correct 7 ms 14420 KB Output is correct
8 Correct 8 ms 14420 KB Output is correct
9 Correct 7 ms 14428 KB Output is correct
10 Correct 7 ms 14420 KB Output is correct
11 Correct 8 ms 14420 KB Output is correct
12 Correct 8 ms 14420 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 8 ms 14420 KB Output is correct
2 Correct 8 ms 14420 KB Output is correct
3 Correct 8 ms 14420 KB Output is correct
4 Correct 10 ms 14420 KB Output is correct
5 Correct 9 ms 14420 KB Output is correct
6 Correct 7 ms 14420 KB Output is correct
7 Correct 7 ms 14420 KB Output is correct
8 Correct 8 ms 14420 KB Output is correct
9 Correct 7 ms 14428 KB Output is correct
10 Correct 7 ms 14420 KB Output is correct
11 Correct 8 ms 14420 KB Output is correct
12 Correct 8 ms 14420 KB Output is correct
13 Correct 8 ms 14420 KB Output is correct
14 Correct 11 ms 14420 KB Output is correct
15 Correct 8 ms 14420 KB Output is correct
16 Correct 8 ms 14448 KB Output is correct
17 Correct 9 ms 14420 KB Output is correct
18 Correct 8 ms 14420 KB Output is correct
19 Correct 8 ms 14348 KB Output is correct
20 Correct 8 ms 14420 KB Output is correct
21 Correct 8 ms 14420 KB Output is correct
22 Correct 7 ms 14420 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 8 ms 14420 KB Output is correct
2 Correct 8 ms 14420 KB Output is correct
3 Correct 8 ms 14420 KB Output is correct
4 Correct 10 ms 14420 KB Output is correct
5 Correct 9 ms 14420 KB Output is correct
6 Correct 7 ms 14420 KB Output is correct
7 Correct 7 ms 14420 KB Output is correct
8 Correct 8 ms 14420 KB Output is correct
9 Correct 7 ms 14428 KB Output is correct
10 Correct 7 ms 14420 KB Output is correct
11 Correct 8 ms 14420 KB Output is correct
12 Correct 8 ms 14420 KB Output is correct
13 Correct 8 ms 14420 KB Output is correct
14 Correct 11 ms 14420 KB Output is correct
15 Correct 8 ms 14420 KB Output is correct
16 Correct 8 ms 14448 KB Output is correct
17 Correct 9 ms 14420 KB Output is correct
18 Correct 8 ms 14420 KB Output is correct
19 Correct 8 ms 14348 KB Output is correct
20 Correct 8 ms 14420 KB Output is correct
21 Correct 8 ms 14420 KB Output is correct
22 Correct 7 ms 14420 KB Output is correct
23 Correct 12 ms 15112 KB Output is correct
24 Correct 12 ms 15232 KB Output is correct
25 Correct 12 ms 15196 KB Output is correct
26 Correct 17 ms 16040 KB Output is correct
27 Correct 17 ms 15956 KB Output is correct
28 Correct 24 ms 15976 KB Output is correct
29 Correct 22 ms 15892 KB Output is correct
30 Correct 18 ms 16012 KB Output is correct
31 Correct 18 ms 16468 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 8 ms 14420 KB Output is correct
2 Correct 8 ms 14420 KB Output is correct
3 Correct 8 ms 14420 KB Output is correct
4 Correct 10 ms 14420 KB Output is correct
5 Correct 9 ms 14420 KB Output is correct
6 Correct 7 ms 14420 KB Output is correct
7 Correct 7 ms 14420 KB Output is correct
8 Correct 8 ms 14420 KB Output is correct
9 Correct 7 ms 14428 KB Output is correct
10 Correct 7 ms 14420 KB Output is correct
11 Correct 8 ms 14420 KB Output is correct
12 Correct 8 ms 14420 KB Output is correct
13 Correct 8 ms 14420 KB Output is correct
14 Correct 11 ms 14420 KB Output is correct
15 Correct 8 ms 14420 KB Output is correct
16 Correct 8 ms 14448 KB Output is correct
17 Correct 9 ms 14420 KB Output is correct
18 Correct 8 ms 14420 KB Output is correct
19 Correct 8 ms 14348 KB Output is correct
20 Correct 8 ms 14420 KB Output is correct
21 Correct 8 ms 14420 KB Output is correct
22 Correct 7 ms 14420 KB Output is correct
23 Correct 12 ms 15112 KB Output is correct
24 Correct 12 ms 15232 KB Output is correct
25 Correct 12 ms 15196 KB Output is correct
26 Correct 17 ms 16040 KB Output is correct
27 Correct 17 ms 15956 KB Output is correct
28 Correct 24 ms 15976 KB Output is correct
29 Correct 22 ms 15892 KB Output is correct
30 Correct 18 ms 16012 KB Output is correct
31 Correct 18 ms 16468 KB Output is correct
32 Correct 68 ms 22360 KB Output is correct
33 Correct 74 ms 22460 KB Output is correct
34 Correct 71 ms 22348 KB Output is correct
35 Correct 402 ms 46592 KB Output is correct
36 Correct 394 ms 50100 KB Output is correct
37 Correct 399 ms 50220 KB Output is correct
38 Correct 531 ms 49340 KB Output is correct
39 Correct 558 ms 49216 KB Output is correct
40 Correct 448 ms 49352 KB Output is correct
41 Correct 478 ms 55360 KB Output is correct