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Submission #867778

# Submission time Handle Problem Language Result Execution time Memory
867778 2023-10-29T12:54:02 Z epicci23 Parkovi (COCI22_parkovi) C++17
110 / 110
 1350 ms 41292 KB 
#include "bits/stdc++.h"
using namespace std;
#define pb push_back
#define endl "\n" 
#define int long long
#define sz(x) ((int)(x).size())
#define all(x) (x).begin(),(x).end()

constexpr int N = 2e5 + 5;
constexpr int INF = 1e18;

int n,k;
vector<array<int,2>> v[N];
bool ok=1;
int vis[N];
int dp[N];
int depth[N];
int maxi[N];
int ck;

void dfs(int c,int p,int d){

  if(!ok) return;
  depth[c]=d;
  maxi[c]=d;

  for(array<int,2> x:v[c]){
  	int u=x[0],co=x[1];
    if(u==p) continue;
    dfs(u,c,d+co);
    dp[c]=min(dp[c],dp[u]);
    maxi[c]=max(maxi[c],maxi[u]);
  }  

  if(maxi[c]<=ck+2*d-dp[c]) {
    maxi[c]=-INF; 
    return;
  }

  int u = maxi[c];
  
  if(u>ck+d){ 
  	ok=0;
  	return;
  }
  
  if(c==1){
  	vis[c]=1;
  	dp[c]=d;
  	maxi[c]=-INF;
  	return;
  }
  
  if(u-depth[p]>ck){
  	vis[c]=1;
  	dp[c]=d;
  	maxi[c]=-INF;
  	return;
  }
}

bool check(int x){

  ok=1;
  fill(dp,dp+N,INF);
  fill(vis,vis+N,0);
  fill(maxi,maxi+N,-INF);
  ck=x;

  dfs(1,0,0);

  if(ok && count(vis,vis+N,1)<=k) return 1;
  return 0;
}


void solve(){

  cin >> n >> k;
  for(int i=1;i<n;i++){
  	int a,b,c;
  	cin >> a >> b >> c;
  	v[a].pb({b,c});
  	v[b].pb({a,c});
  }

  int l=0,r=(int)1e15;
 
  while(l<r){
  	int m=(l+r)/2;
  	if(check(m)) r=m;
  	else l=m+1;
  }

  cout << l << endl;

  check(l);

  vector<int> ans;
  for(int i=1;i<=n;i++) if(vis[i]) ans.pb(i);
  for(int i=1;i<=n;i++) if(!vis[i] && sz(ans)<k) ans.pb(i);
  

  for(int x:ans) cout << x << " ";
  cout << endl;
}

int32_t main(){

  cin.tie(0); ios::sync_with_stdio(0);
  
  int t=1;//cin >> t;
  while(t--) solve();

  return 0;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 11352 KB Output is correct
2 Correct 16 ms 11356 KB Output is correct
3 Correct 21 ms 11408 KB Output is correct
4 Correct 16 ms 11356 KB Output is correct
5 Correct 16 ms 11356 KB Output is correct
6 Correct 16 ms 11352 KB Output is correct
7 Correct 16 ms 11356 KB Output is correct
8 Correct 16 ms 11356 KB Output is correct
9 Correct 16 ms 11356 KB Output is correct
10 Correct 16 ms 11356 KB Output is correct
11 Correct 16 ms 11356 KB Output is correct
12 Correct 19 ms 11608 KB Output is correct
13 Correct 17 ms 11420 KB Output is correct
14 Correct 15 ms 11356 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 300 ms 34876 KB Output is correct
2 Correct 350 ms 38188 KB Output is correct
3 Correct 278 ms 23484 KB Output is correct
4 Correct 900 ms 25296 KB Output is correct
5 Correct 995 ms 24724 KB Output is correct
6 Correct 926 ms 24736 KB Output is correct
7 Correct 952 ms 23536 KB Output is correct
8 Correct 975 ms 24232 KB Output is correct
9 Correct 918 ms 24600 KB Output is correct
10 Correct 1152 ms 24916 KB Output is correct
11 Correct 733 ms 26508 KB Output is correct
12 Correct 664 ms 26452 KB Output is correct
13 Correct 838 ms 27736 KB Output is correct
14 Correct 652 ms 24996 KB Output is correct
15 Correct 703 ms 24400 KB Output is correct
16 Correct 684 ms 25940 KB Output is correct
17 Correct 724 ms 25492 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 351 ms 35944 KB Output is correct
2 Correct 313 ms 37716 KB Output is correct
3 Correct 287 ms 36432 KB Output is correct
4 Correct 318 ms 36288 KB Output is correct
5 Correct 333 ms 40060 KB Output is correct
6 Correct 368 ms 39120 KB Output is correct
7 Correct 338 ms 39940 KB Output is correct
8 Correct 340 ms 38400 KB Output is correct
9 Correct 345 ms 38192 KB Output is correct
10 Correct 356 ms 38012 KB Output is correct
11 Correct 316 ms 36804 KB Output is correct
12 Correct 344 ms 40652 KB Output is correct
13 Correct 360 ms 40652 KB Output is correct
14 Correct 373 ms 39228 KB Output is correct
15 Correct 337 ms 36924 KB Output is correct
16 Correct 294 ms 36320 KB Output is correct
17 Correct 294 ms 35920 KB Output is correct
18 Correct 346 ms 37568 KB Output is correct
19 Correct 313 ms 38584 KB Output is correct
20 Correct 320 ms 39200 KB Output is correct
21 Correct 382 ms 38092 KB Output is correct

Subtask #4
60.0 / 60.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 11352 KB Output is correct
2 Correct 16 ms 11356 KB Output is correct
3 Correct 21 ms 11408 KB Output is correct
4 Correct 16 ms 11356 KB Output is correct
5 Correct 16 ms 11356 KB Output is correct
6 Correct 16 ms 11352 KB Output is correct
7 Correct 16 ms 11356 KB Output is correct
8 Correct 16 ms 11356 KB Output is correct
9 Correct 16 ms 11356 KB Output is correct
10 Correct 16 ms 11356 KB Output is correct
11 Correct 16 ms 11356 KB Output is correct
12 Correct 19 ms 11608 KB Output is correct
13 Correct 17 ms 11420 KB Output is correct
14 Correct 15 ms 11356 KB Output is correct
15 Correct 300 ms 34876 KB Output is correct
16 Correct 350 ms 38188 KB Output is correct
17 Correct 278 ms 23484 KB Output is correct
18 Correct 900 ms 25296 KB Output is correct
19 Correct 995 ms 24724 KB Output is correct
20 Correct 926 ms 24736 KB Output is correct
21 Correct 952 ms 23536 KB Output is correct
22 Correct 975 ms 24232 KB Output is correct
23 Correct 918 ms 24600 KB Output is correct
24 Correct 1152 ms 24916 KB Output is correct
25 Correct 733 ms 26508 KB Output is correct
26 Correct 664 ms 26452 KB Output is correct
27 Correct 838 ms 27736 KB Output is correct
28 Correct 652 ms 24996 KB Output is correct
29 Correct 703 ms 24400 KB Output is correct
30 Correct 684 ms 25940 KB Output is correct
31 Correct 724 ms 25492 KB Output is correct
32 Correct 351 ms 35944 KB Output is correct
33 Correct 313 ms 37716 KB Output is correct
34 Correct 287 ms 36432 KB Output is correct
35 Correct 318 ms 36288 KB Output is correct
36 Correct 333 ms 40060 KB Output is correct
37 Correct 368 ms 39120 KB Output is correct
38 Correct 338 ms 39940 KB Output is correct
39 Correct 340 ms 38400 KB Output is correct
40 Correct 345 ms 38192 KB Output is correct
41 Correct 356 ms 38012 KB Output is correct
42 Correct 316 ms 36804 KB Output is correct
43 Correct 344 ms 40652 KB Output is correct
44 Correct 360 ms 40652 KB Output is correct
45 Correct 373 ms 39228 KB Output is correct
46 Correct 337 ms 36924 KB Output is correct
47 Correct 294 ms 36320 KB Output is correct
48 Correct 294 ms 35920 KB Output is correct
49 Correct 346 ms 37568 KB Output is correct
50 Correct 313 ms 38584 KB Output is correct
51 Correct 320 ms 39200 KB Output is correct
52 Correct 382 ms 38092 KB Output is correct
53 Correct 969 ms 25060 KB Output is correct
54 Correct 1022 ms 25464 KB Output is correct
55 Correct 1036 ms 26128 KB Output is correct
56 Correct 990 ms 25940 KB Output is correct
57 Correct 1134 ms 26752 KB Output is correct
58 Correct 977 ms 25180 KB Output is correct
59 Correct 1112 ms 28400 KB Output is correct
60 Correct 1030 ms 24808 KB Output is correct
61 Correct 861 ms 23448 KB Output is correct
62 Correct 876 ms 24764 KB Output is correct
63 Correct 1350 ms 24668 KB Output is correct
64 Correct 1231 ms 26488 KB Output is correct
65 Correct 1264 ms 24988 KB Output is correct
66 Correct 1276 ms 25744 KB Output is correct
67 Correct 1118 ms 24196 KB Output is correct
68 Correct 1350 ms 28076 KB Output is correct
69 Correct 375 ms 39508 KB Output is correct
70 Correct 311 ms 37616 KB Output is correct
71 Correct 416 ms 41292 KB Output is correct
72 Correct 327 ms 25016 KB Output is correct
73 Correct 347 ms 23488 KB Output is correct
74 Correct 395 ms 26548 KB Output is correct
75 Correct 808 ms 26860 KB Output is correct
76 Correct 926 ms 26204 KB Output is correct
77 Correct 791 ms 25936 KB Output is correct
78 Correct 868 ms 26176 KB Output is correct