/*input
3 1
1 2 10
2 3 9
*/
#include<bits/stdc++.h>
using namespace std;
#define REP(i,n) for(int i=0;i<n;i++)
#define MNTO(x,y) x=min(x,y)
#define MXTO(x,y) x=max(x,y)
#define REP1(i,n) for(int i=1;i<=n;i++)
#define ll long long
#define ld long double
#define sz(x) (int)x.size()
#define ALL(x) x.begin(),x.end()
#define pii pair<ll,int>
#define f first
#define s second
#define pb push_back
const int maxn=1e5+5;
vector<pii> v[maxn];
int k;
multiset<ll> ms;
multiset<ll,greater<ll>> ls;
ll s=0;
void add(ll x){
ms.insert(x);
s+=x;
if(sz(ms)>k){
ll z=*ms.begin();
s-=z;
ms.erase(ms.begin());
ls.insert(z);
}
}
void remove(ll x){
auto it=ms.find(x);
if(it==ms.end()){
ls.erase(ls.find(x));
}
else{
s-=x;
ms.erase(it);
if(sz(ls)){
ll z=(*ls.begin());
s+=z;
ms.insert(z);
ls.erase(ls.begin());
}
}
}
ll mx[maxn];
void dfs(int u,int p){
for(auto x:v[u]){
if(x.f==p) continue;
dfs(x.f,u);
remove(mx[x.f]);
add(mx[x.f]+x.s);
MXTO(mx[u],mx[x.f]+x.s);
}
add(0);
}
ll ans[maxn];
void dfs2(int u,int p){
vector<pii> asd;
asd.pb({0,u});
for(auto x:v[u]){
asd.pb({mx[x.f]+x.s,x.f});
}
ans[u]=s;
sort(ALL(asd)),reverse(ALL(asd));
for(auto x:v[u]){
if(x.f==p) continue;
ll tmp=mx[u];
mx[u]=asd[0].f;
if(x.f==asd[0].s){
mx[u]=asd[1].f;
}
remove(mx[x.f]+x.s);
add(mx[x.f]);
add(mx[u]+x.s);
remove(mx[u]);
dfs2(x.f,u);
remove(mx[x.f]);
add(mx[x.f]+x.s);
remove(mx[u]+x.s);
add(mx[u]);
mx[u]=tmp;
}
}
int main(){
ios::sync_with_stdio(false),cin.tie(0);
int n;
cin>>n>>k;
REP(i,n-1){
int a,b,c;
cin>>a>>b>>c;
--a,--b;
v[a].pb({b,c});
v[b].pb({a,c});
}
dfs(0,-1);
dfs2(0,-1);
REP(i,n) cout<<ans[i]<<'\n';
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
2644 KB |
Output is correct |
2 |
Correct |
2 ms |
2644 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
2644 KB |
Output is correct |
2 |
Correct |
2 ms |
2644 KB |
Output is correct |
3 |
Correct |
2 ms |
2644 KB |
Output is correct |
4 |
Correct |
2 ms |
2644 KB |
Output is correct |
5 |
Correct |
2 ms |
2644 KB |
Output is correct |
6 |
Correct |
3 ms |
2644 KB |
Output is correct |
7 |
Correct |
2 ms |
2644 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
2644 KB |
Output is correct |
2 |
Correct |
2 ms |
2644 KB |
Output is correct |
3 |
Correct |
2 ms |
2644 KB |
Output is correct |
4 |
Correct |
2 ms |
2644 KB |
Output is correct |
5 |
Correct |
2 ms |
2644 KB |
Output is correct |
6 |
Correct |
3 ms |
2644 KB |
Output is correct |
7 |
Correct |
2 ms |
2644 KB |
Output is correct |
8 |
Correct |
4 ms |
2772 KB |
Output is correct |
9 |
Correct |
4 ms |
2808 KB |
Output is correct |
10 |
Correct |
4 ms |
2772 KB |
Output is correct |
11 |
Correct |
3 ms |
2728 KB |
Output is correct |
12 |
Correct |
5 ms |
2772 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
2644 KB |
Output is correct |
2 |
Correct |
2 ms |
2644 KB |
Output is correct |
3 |
Correct |
2 ms |
2644 KB |
Output is correct |
4 |
Correct |
2 ms |
2644 KB |
Output is correct |
5 |
Correct |
2 ms |
2644 KB |
Output is correct |
6 |
Correct |
3 ms |
2644 KB |
Output is correct |
7 |
Correct |
2 ms |
2644 KB |
Output is correct |
8 |
Correct |
4 ms |
2772 KB |
Output is correct |
9 |
Correct |
4 ms |
2808 KB |
Output is correct |
10 |
Correct |
4 ms |
2772 KB |
Output is correct |
11 |
Correct |
3 ms |
2728 KB |
Output is correct |
12 |
Correct |
5 ms |
2772 KB |
Output is correct |
13 |
Correct |
6 ms |
2900 KB |
Output is correct |
14 |
Correct |
5 ms |
3072 KB |
Output is correct |
15 |
Correct |
6 ms |
3028 KB |
Output is correct |
16 |
Correct |
6 ms |
2924 KB |
Output is correct |
17 |
Correct |
6 ms |
2900 KB |
Output is correct |
18 |
Correct |
4 ms |
2852 KB |
Output is correct |
19 |
Correct |
6 ms |
2900 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
328 ms |
15088 KB |
Output is correct |
2 |
Correct |
351 ms |
19784 KB |
Output is correct |
3 |
Correct |
228 ms |
15020 KB |
Output is correct |
4 |
Correct |
301 ms |
15360 KB |
Output is correct |
5 |
Correct |
332 ms |
17000 KB |
Output is correct |
6 |
Correct |
311 ms |
15068 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
2644 KB |
Output is correct |
2 |
Correct |
2 ms |
2644 KB |
Output is correct |
3 |
Correct |
2 ms |
2644 KB |
Output is correct |
4 |
Correct |
2 ms |
2644 KB |
Output is correct |
5 |
Correct |
2 ms |
2644 KB |
Output is correct |
6 |
Correct |
3 ms |
2644 KB |
Output is correct |
7 |
Correct |
2 ms |
2644 KB |
Output is correct |
8 |
Correct |
4 ms |
2772 KB |
Output is correct |
9 |
Correct |
4 ms |
2808 KB |
Output is correct |
10 |
Correct |
4 ms |
2772 KB |
Output is correct |
11 |
Correct |
3 ms |
2728 KB |
Output is correct |
12 |
Correct |
5 ms |
2772 KB |
Output is correct |
13 |
Correct |
6 ms |
2900 KB |
Output is correct |
14 |
Correct |
5 ms |
3072 KB |
Output is correct |
15 |
Correct |
6 ms |
3028 KB |
Output is correct |
16 |
Correct |
6 ms |
2924 KB |
Output is correct |
17 |
Correct |
6 ms |
2900 KB |
Output is correct |
18 |
Correct |
4 ms |
2852 KB |
Output is correct |
19 |
Correct |
6 ms |
2900 KB |
Output is correct |
20 |
Correct |
328 ms |
15088 KB |
Output is correct |
21 |
Correct |
351 ms |
19784 KB |
Output is correct |
22 |
Correct |
228 ms |
15020 KB |
Output is correct |
23 |
Correct |
301 ms |
15360 KB |
Output is correct |
24 |
Correct |
332 ms |
17000 KB |
Output is correct |
25 |
Correct |
311 ms |
15068 KB |
Output is correct |
26 |
Correct |
409 ms |
16624 KB |
Output is correct |
27 |
Correct |
340 ms |
21752 KB |
Output is correct |
28 |
Correct |
403 ms |
22812 KB |
Output is correct |
29 |
Correct |
237 ms |
17312 KB |
Output is correct |
30 |
Correct |
342 ms |
17596 KB |
Output is correct |
31 |
Correct |
355 ms |
16924 KB |
Output is correct |
32 |
Correct |
386 ms |
19560 KB |
Output is correct |
33 |
Correct |
362 ms |
17548 KB |
Output is correct |
34 |
Correct |
219 ms |
17368 KB |
Output is correct |
35 |
Correct |
381 ms |
17604 KB |
Output is correct |
36 |
Correct |
353 ms |
23716 KB |
Output is correct |