oj.uz

Submission #536627

# Submission time Handle Problem Language Result Execution time Memory
536627 2022-03-13T15:17:42 Z errorgorn Paths (RMI21_paths) C++17
100 / 100
 377 ms 27624 KB 
// Super Idol的笑容
//    都没你的甜
//  八月正午的阳光
//    都没你耀眼
//  热爱105°C的你
// 滴滴清纯的蒸馏水

#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/rope>
using namespace std;
using namespace __gnu_pbds;
using namespace __gnu_cxx;
#define int long long
#define ll long long
#define ii pair<ll,ll>
#define iii pair<ii,ll>
#define fi first
#define se second
#define endl '\n'
#define debug(x) cout << #x << ": " << x << endl

#define pub push_back
#define pob pop_back
#define puf push_front
#define pof pop_front
#define lb lower_bound
#define ub upper_bound

#define rep(x,start,end) for(auto x=(start)-((start)>(end));x!=(end)-((start)>(end));((start)<(end)?x++:x--))
#define all(x) (x).begin(),(x).end()
#define sz(x) (int)(x).size()

#define indexed_set tree<ll,null_type,less<ll>,rb_tree_tag,tree_order_statistics_node_update>
//change less to less_equal for non distinct pbds, but erase will bug

mt19937 rng(chrono::system_clock::now().time_since_epoch().count());

int n,k;

struct node{
	multiset<int> hi;
	multiset<int,greater<int> > lo;
	int sum=0;
	
	void add(int i){
		hi.insert(i);
		sum+=i;
		
		if (sz(hi)>k){
			sum-=*hi.begin();
			lo.insert(*hi.begin());
			hi.erase(hi.begin());
		}
	}
	
	void rem(int i){
		if (lo.find(i)!=lo.end()) lo.erase(lo.find(i));
		else{
			sum-=i;
			hi.erase(hi.find(i));
			if (!lo.empty()){
				sum+=*lo.begin();
				hi.insert(*lo.begin());
				lo.erase(lo.begin());
			}
		}
	}
} root;

vector<ii> al[100005];
vector<int> child[100005];

int dfs(int i,int p){
	child[i]={0};
	
	for (auto [it,w]:al[i]){
		if (it==p) continue;
		child[i].pub(dfs(it,i)+w);
	}
	
	sort(all(child[i]));
	reverse(all(child[i]));
	
	rep(x,1,sz(child[i])) root.add(child[i][x]);
	return child[i][0];
}

int ans[100005];

void dfs2(int i,int p,int curr){
	ans[i]=root.sum;
	
	child[i].pub(curr);
	sort(all(child[i]));
	reverse(all(child[i]));
	
	for (auto [it,w]:al[i]){
		if (it==p) continue;
		
		int a,b;
		if (child[it][0]+w==child[i][0]) a=child[i][1];
		else a=child[i][0];
		b=child[it][0];
		
		root.add(a+w);
		root.rem(a);
		root.add(b);
		root.rem(b+w);
		
		dfs2(it,i,a+w);
		
		root.rem(a+w);
		root.add(a);
		root.rem(b);
		root.add(b+w);
	}
}

signed main(){
	ios::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
	cin.exceptions(ios::badbit | ios::failbit);
	
	cin>>n>>k;
	
	int a,b,c;
	rep(x,1,n){
		cin>>a>>b>>c;
		al[a].pub({b,c});
		al[b].pub({a,c});
	}
	
	root.add(dfs(1,-1));
	dfs2(1,-1,0);
	
	rep(x,1,n+1) cout<<ans[x]<<endl;
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4948 KB Output is correct
2 Correct 3 ms 4948 KB Output is correct

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4948 KB Output is correct
2 Correct 3 ms 4948 KB Output is correct
3 Correct 3 ms 4948 KB Output is correct
4 Correct 3 ms 5036 KB Output is correct
5 Correct 3 ms 5076 KB Output is correct
6 Correct 3 ms 5076 KB Output is correct
7 Correct 4 ms 5036 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4948 KB Output is correct
2 Correct 3 ms 4948 KB Output is correct
3 Correct 3 ms 4948 KB Output is correct
4 Correct 3 ms 5036 KB Output is correct
5 Correct 3 ms 5076 KB Output is correct
6 Correct 3 ms 5076 KB Output is correct
7 Correct 4 ms 5036 KB Output is correct
8 Correct 5 ms 5204 KB Output is correct
9 Correct 5 ms 5180 KB Output is correct
10 Correct 4 ms 5204 KB Output is correct
11 Correct 4 ms 5204 KB Output is correct
12 Correct 4 ms 5204 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4948 KB Output is correct
2 Correct 3 ms 4948 KB Output is correct
3 Correct 3 ms 4948 KB Output is correct
4 Correct 3 ms 5036 KB Output is correct
5 Correct 3 ms 5076 KB Output is correct
6 Correct 3 ms 5076 KB Output is correct
7 Correct 4 ms 5036 KB Output is correct
8 Correct 5 ms 5204 KB Output is correct
9 Correct 5 ms 5180 KB Output is correct
10 Correct 4 ms 5204 KB Output is correct
11 Correct 4 ms 5204 KB Output is correct
12 Correct 4 ms 5204 KB Output is correct
13 Correct 6 ms 5300 KB Output is correct
14 Correct 7 ms 5460 KB Output is correct
15 Correct 6 ms 5460 KB Output is correct
16 Correct 7 ms 5332 KB Output is correct
17 Correct 7 ms 5332 KB Output is correct
18 Correct 6 ms 5344 KB Output is correct
19 Correct 6 ms 5360 KB Output is correct

Subtask #5
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 361 ms 23916 KB Output is correct
2 Correct 322 ms 26280 KB Output is correct
3 Correct 261 ms 23700 KB Output is correct
4 Correct 322 ms 23788 KB Output is correct
5 Correct 350 ms 24844 KB Output is correct
6 Correct 325 ms 23712 KB Output is correct

Subtask #6
32.0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4948 KB Output is correct
2 Correct 3 ms 4948 KB Output is correct
3 Correct 3 ms 4948 KB Output is correct
4 Correct 3 ms 5036 KB Output is correct
5 Correct 3 ms 5076 KB Output is correct
6 Correct 3 ms 5076 KB Output is correct
7 Correct 4 ms 5036 KB Output is correct
8 Correct 5 ms 5204 KB Output is correct
9 Correct 5 ms 5180 KB Output is correct
10 Correct 4 ms 5204 KB Output is correct
11 Correct 4 ms 5204 KB Output is correct
12 Correct 4 ms 5204 KB Output is correct
13 Correct 6 ms 5300 KB Output is correct
14 Correct 7 ms 5460 KB Output is correct
15 Correct 6 ms 5460 KB Output is correct
16 Correct 7 ms 5332 KB Output is correct
17 Correct 7 ms 5332 KB Output is correct
18 Correct 6 ms 5344 KB Output is correct
19 Correct 6 ms 5360 KB Output is correct
20 Correct 361 ms 23916 KB Output is correct
21 Correct 322 ms 26280 KB Output is correct
22 Correct 261 ms 23700 KB Output is correct
23 Correct 322 ms 23788 KB Output is correct
24 Correct 350 ms 24844 KB Output is correct
25 Correct 325 ms 23712 KB Output is correct
26 Correct 362 ms 24304 KB Output is correct
27 Correct 377 ms 26432 KB Output is correct
28 Correct 339 ms 26916 KB Output is correct
29 Correct 273 ms 24012 KB Output is correct
30 Correct 365 ms 24052 KB Output is correct
31 Correct 376 ms 23840 KB Output is correct
32 Correct 352 ms 25188 KB Output is correct
33 Correct 367 ms 24248 KB Output is correct
34 Correct 225 ms 23748 KB Output is correct
35 Correct 376 ms 24092 KB Output is correct
36 Correct 325 ms 27624 KB Output is correct