#include <bits/stdc++.h>
#pragma GCC optimize ("O2")
#pragma GCC optimize ("unroll-loops")
//#pragma GCC optimize("no-stack-protector,fast-math")
using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<pii, int> piii;
typedef pair<ll, ll> pll;
#define debug(x) cerr<<#x<<'='<<(x)<<endl;
#define debugp(x) cerr<<#x<<"= {"<<(x.first)<<", "<<(x.second)<<"}"<<endl;
#define debug2(x, y) cerr<<"{"<<#x<<", "<<#y<<"} = {"<<(x)<<", "<<(y)<<"}"<<endl;
#define debugv(v) cerr<<#v<<" : ";for (auto x:v) cerr<<x<<' ';cerr<<endl;
#define all(x) x.begin(), x.end()
#define pb push_back
#define kill(x) return cout<<x<<'\n', 0;
const ld eps=1e-7;
const int inf=1000000010;
const ll INF=10000000000000010LL;
const int mod = 1000000007;
const int MAXN = 100010, K=101;
ll n, m, k, u, v, x, y, t, a, b, ans;
ll A[MAXN];
ll val[MAXN];
ll dp[MAXN][K];
int ind[MAXN][K][2];
vector<int> G[MAXN];
void calcdp(int node){
for (int j=1; j<=k; j++) dp[node][j]=max(dp[ind[node][j][0]][j], dp[ind[node][j-1][0]][j-1] + val[node]);
}
ll dfs1(int node, int par){
for (int v:G[node]) if (v!=par) val[node]+=dfs1(v, node);
for (int v:G[node]) if (v!=par) for (int j=1; j<=k; j++) if (dp[v][j]>dp[ind[node][j][0]][j]) ind[node][j][0]=v;
for (int v:G[node]) if (v!=par) for (int j=1; j<=k; j++) if (v!=ind[node][j][0] && dp[v][j]>dp[ind[node][j][1]][j]) ind[node][j][1]=v;
calcdp(node);
return A[node];
}
void dfs2(int node, int par){
calcdp(node);
for (int j=1; j<=k; j++) if (par){
dp[node][j]=max(dp[node][j], dp[par][j]);
dp[node][j]=max(dp[node][j], dp[par][j-1] + val[node]);
}
for (int j=1; j<=k; j++) ans=max(ans, dp[node][j]);
for (int v:G[node]) if (v!=par){
val[node]-=A[v];
val[v]+=A[node];
for (int j=1; j<=k; j++){
if (ind[node][j][0]!=v) dp[node][j]=dp[ind[node][j][0]][j];
else dp[node][j]=dp[ind[node][j][1]][j];
if (ind[node][j-1][0]!=v) dp[node][j]=max(dp[node][j], dp[ind[node][j-1][0]][j-1] + val[node]);
else dp[node][j]=max(dp[node][j], dp[ind[node][j-1][1]][j-1] + val[node]);
if (par){
dp[node][j]=max(dp[node][j], dp[par][j]);
dp[node][j]=max(dp[node][j], dp[par][j-1] + val[node]);
}
}
dfs2(v, node);
val[v]-=A[node];
val[node]+=A[v];
calcdp(v);
calcdp(node);
for (int j=1; j<=k; j++) if (par){
dp[node][j]=max(dp[node][j], dp[par][j]);
dp[node][j]=max(dp[node][j], dp[par][j-1] + val[node]);
}
}
}
int main(){
ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0);
//freopen("input.txt", "r", stdin);
//freopen("output.txt", "w", stdout);
cin>>n>>k;
for (int i=1; i<=n; i++) cin>>A[i];
for (int i=1; i<n; i++){
cin>>u>>v;
G[u].pb(v);
G[v].pb(u);
}
dfs1(1, 0);
dfs2(1, 0);
cout<<ans<<'\n';
return 0;
}
/*
12 2
2 3 3 8 1 5 6 7 8 3 5 4
2 1
2 7
3 4
4 7
7 6
5 6
6 8
6 9
7 10
10 11
10 12
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
2680 KB |
Output is correct |
2 |
Correct |
10 ms |
2680 KB |
Output is correct |
3 |
Correct |
4 ms |
2680 KB |
Output is correct |
4 |
Correct |
4 ms |
2680 KB |
Output is correct |
5 |
Correct |
4 ms |
2680 KB |
Output is correct |
6 |
Correct |
4 ms |
2680 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
2680 KB |
Output is correct |
2 |
Correct |
10 ms |
2680 KB |
Output is correct |
3 |
Correct |
4 ms |
2680 KB |
Output is correct |
4 |
Correct |
4 ms |
2680 KB |
Output is correct |
5 |
Correct |
4 ms |
2680 KB |
Output is correct |
6 |
Correct |
4 ms |
2680 KB |
Output is correct |
7 |
Correct |
9 ms |
3960 KB |
Output is correct |
8 |
Correct |
6 ms |
3960 KB |
Output is correct |
9 |
Correct |
6 ms |
3576 KB |
Output is correct |
10 |
Correct |
9 ms |
3960 KB |
Output is correct |
11 |
Correct |
7 ms |
4060 KB |
Output is correct |
12 |
Correct |
6 ms |
3960 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
497 ms |
132948 KB |
Output is correct |
2 |
Correct |
492 ms |
132896 KB |
Output is correct |
3 |
Correct |
377 ms |
89200 KB |
Output is correct |
4 |
Correct |
236 ms |
133368 KB |
Output is correct |
5 |
Correct |
548 ms |
135512 KB |
Output is correct |
6 |
Correct |
554 ms |
135616 KB |
Output is correct |
7 |
Correct |
551 ms |
135708 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
2680 KB |
Output is correct |
2 |
Correct |
10 ms |
2680 KB |
Output is correct |
3 |
Correct |
4 ms |
2680 KB |
Output is correct |
4 |
Correct |
4 ms |
2680 KB |
Output is correct |
5 |
Correct |
4 ms |
2680 KB |
Output is correct |
6 |
Correct |
4 ms |
2680 KB |
Output is correct |
7 |
Correct |
9 ms |
3960 KB |
Output is correct |
8 |
Correct |
6 ms |
3960 KB |
Output is correct |
9 |
Correct |
6 ms |
3576 KB |
Output is correct |
10 |
Correct |
9 ms |
3960 KB |
Output is correct |
11 |
Correct |
7 ms |
4060 KB |
Output is correct |
12 |
Correct |
6 ms |
3960 KB |
Output is correct |
13 |
Correct |
497 ms |
132948 KB |
Output is correct |
14 |
Correct |
492 ms |
132896 KB |
Output is correct |
15 |
Correct |
377 ms |
89200 KB |
Output is correct |
16 |
Correct |
236 ms |
133368 KB |
Output is correct |
17 |
Correct |
548 ms |
135512 KB |
Output is correct |
18 |
Correct |
554 ms |
135616 KB |
Output is correct |
19 |
Correct |
551 ms |
135708 KB |
Output is correct |
20 |
Correct |
549 ms |
135800 KB |
Output is correct |
21 |
Correct |
79 ms |
9592 KB |
Output is correct |
22 |
Correct |
558 ms |
135800 KB |
Output is correct |
23 |
Correct |
235 ms |
133368 KB |
Output is correct |
24 |
Correct |
552 ms |
135284 KB |
Output is correct |
25 |
Correct |
352 ms |
88816 KB |
Output is correct |
26 |
Correct |
512 ms |
132988 KB |
Output is correct |
27 |
Correct |
504 ms |
132856 KB |
Output is correct |