oj.uz

Submission #1101975

# Submission time Handle Problem Language Result Execution time Memory
1101975 2024-10-17T08:54:49 Z epicci23 Graph (BOI20_graph) C++17
100 / 100
 140 ms 26056 KB 
#include "bits/stdc++.h"
using namespace std;
#define int long long
#define double long double
#define all(v) v.begin() , v.end()
#define sz(a) ((int)a.size())


const int N = 1e5 + 5;

vector<array<int,2>> v[N];
double ans[N];
bool vis[N],vis2[N];
array<int,2> line[N];
int koy=-1;
double val=-1;
vector<int> node;

void upd(int ind,int a,int b){
   if(line[ind][0]==0){
     line[ind]={a,b};
     return;
   }
   if(line[ind][0]==a && b!=line[ind][1]){
   	 cout << "NO\n";
   	 exit(0);
   }
   if(line[ind][0]==a) return;
   koy=ind;
   val=(b+line[ind][1])/2.0L;
}

void dfs(int c){
  vis[c]=1;
  node.push_back(c);
  for(auto E:v[c]){
    int x=E[0],u=E[1];
    upd(x,-line[c][0],-line[c][1]+u);
    if(vis[x]) continue;
    dfs(x);
  }
}

void dfs2(int c,double val){
  ans[c]=val;
  vis[c]=vis2[c]=1;
  for(auto E:v[c]){
    int x=E[0],u=E[1];
    if(vis2[x]){
      if(u-val!=ans[x]){
        cout << "NO\n";
        exit(0);
      }
      continue;
    }
    else dfs2(x,u-val);
  }
}

void _(){
  int n,m;
  cin >> n >> m;
  
  for(int i=1;i<=m;i++){
    int a,b,c;
    cin >> a >> b >> c;
    v[a].push_back({b,c});
    v[b].push_back({a,c});
  }
  
  for(int i=1;i<=n;i++){
  	if(vis[i]) continue;
  	koy=-1;
  	node.clear();
  	upd(i,1,0);
    dfs(i);
    if(koy!=-1) dfs2(koy,val);
    else{
      vector<int> S;
      for(int x:node){
        if(line[x][0]==1) S.push_back(-line[x][1]);
        else S.push_back(line[x][1]);
      }
      sort(all(S));
      dfs2(i,line[i][0]*S[sz(S)/2]+line[i][1]);
    }
  }

  cout << "YES\n";
  for(int i=1;i<=n;i++) cout << ans[i] << " \n"[i==n];
}

int32_t main(){
  cin.tie(0); ios::sync_with_stdio(0);
  cout << fixed << setprecision(16);
  int tc=1;//cin >> tc;
  while(tc--) _();
  return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3920 KB answer = YES
2 Correct 2 ms 3920 KB answer = YES
3 Correct 2 ms 3920 KB answer = YES
4 Correct 2 ms 3832 KB answer = NO
5 Correct 2 ms 3920 KB answer = YES
6 Correct 2 ms 3920 KB answer = YES
7 Correct 2 ms 3920 KB answer = YES
8 Correct 2 ms 3920 KB answer = YES
9 Correct 2 ms 3664 KB answer = NO
10 Correct 2 ms 3920 KB answer = YES
11 Correct 2 ms 3920 KB answer = YES
12 Correct 2 ms 3664 KB answer = NO
13 Correct 2 ms 3920 KB answer = YES
14 Correct 2 ms 4092 KB answer = YES
15 Correct 2 ms 3920 KB answer = YES
16 Correct 2 ms 3920 KB answer = YES
17 Correct 2 ms 3920 KB answer = YES
18 Correct 2 ms 3920 KB answer = YES
19 Correct 2 ms 3920 KB answer = YES
20 Correct 2 ms 3920 KB answer = YES
21 Correct 2 ms 3920 KB answer = YES
22 Correct 2 ms 3664 KB answer = NO
23 Correct 2 ms 3920 KB answer = NO

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3920 KB answer = YES
2 Correct 2 ms 3920 KB answer = YES
3 Correct 2 ms 3920 KB answer = YES
4 Correct 2 ms 3832 KB answer = NO
5 Correct 2 ms 3920 KB answer = YES
6 Correct 2 ms 3920 KB answer = YES
7 Correct 2 ms 3920 KB answer = YES
8 Correct 2 ms 3920 KB answer = YES
9 Correct 2 ms 3664 KB answer = NO
10 Correct 2 ms 3920 KB answer = YES
11 Correct 2 ms 3920 KB answer = YES
12 Correct 2 ms 3664 KB answer = NO
13 Correct 2 ms 3920 KB answer = YES
14 Correct 2 ms 4092 KB answer = YES
15 Correct 2 ms 3920 KB answer = YES
16 Correct 2 ms 3920 KB answer = YES
17 Correct 2 ms 3920 KB answer = YES
18 Correct 2 ms 3920 KB answer = YES
19 Correct 2 ms 3920 KB answer = YES
20 Correct 2 ms 3920 KB answer = YES
21 Correct 2 ms 3920 KB answer = YES
22 Correct 2 ms 3664 KB answer = NO
23 Correct 2 ms 3920 KB answer = NO
24 Correct 2 ms 3920 KB answer = YES
25 Correct 2 ms 3920 KB answer = YES
26 Correct 2 ms 3920 KB answer = YES
27 Correct 2 ms 3920 KB answer = YES
28 Correct 2 ms 3920 KB answer = YES
29 Correct 3 ms 3920 KB answer = YES
30 Correct 2 ms 4088 KB answer = NO
31 Correct 2 ms 3920 KB answer = YES
32 Correct 3 ms 3920 KB answer = YES
33 Correct 2 ms 3920 KB answer = YES
34 Correct 2 ms 3920 KB answer = YES
35 Correct 2 ms 3920 KB answer = YES
36 Correct 2 ms 3812 KB answer = YES

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3920 KB answer = YES
2 Correct 2 ms 3920 KB answer = YES
3 Correct 2 ms 3920 KB answer = YES
4 Correct 2 ms 3832 KB answer = NO
5 Correct 2 ms 3920 KB answer = YES
6 Correct 2 ms 3920 KB answer = YES
7 Correct 2 ms 3920 KB answer = YES
8 Correct 2 ms 3920 KB answer = YES
9 Correct 2 ms 3664 KB answer = NO
10 Correct 2 ms 3920 KB answer = YES
11 Correct 2 ms 3920 KB answer = YES
12 Correct 2 ms 3664 KB answer = NO
13 Correct 2 ms 3920 KB answer = YES
14 Correct 2 ms 4092 KB answer = YES
15 Correct 2 ms 3920 KB answer = YES
16 Correct 2 ms 3920 KB answer = YES
17 Correct 2 ms 3920 KB answer = YES
18 Correct 2 ms 3920 KB answer = YES
19 Correct 2 ms 3920 KB answer = YES
20 Correct 2 ms 3920 KB answer = YES
21 Correct 2 ms 3920 KB answer = YES
22 Correct 2 ms 3664 KB answer = NO
23 Correct 2 ms 3920 KB answer = NO
24 Correct 2 ms 3920 KB answer = YES
25 Correct 2 ms 3920 KB answer = YES
26 Correct 2 ms 3920 KB answer = YES
27 Correct 2 ms 3920 KB answer = YES
28 Correct 2 ms 3920 KB answer = YES
29 Correct 3 ms 3920 KB answer = YES
30 Correct 2 ms 4088 KB answer = NO
31 Correct 2 ms 3920 KB answer = YES
32 Correct 3 ms 3920 KB answer = YES
33 Correct 2 ms 3920 KB answer = YES
34 Correct 2 ms 3920 KB answer = YES
35 Correct 2 ms 3920 KB answer = YES
36 Correct 2 ms 3812 KB answer = YES
37 Correct 3 ms 3920 KB answer = YES
38 Correct 2 ms 3920 KB answer = YES
39 Correct 2 ms 4088 KB answer = YES
40 Correct 3 ms 3920 KB answer = YES
41 Correct 2 ms 3920 KB answer = NO
42 Correct 3 ms 3932 KB answer = YES
43 Correct 3 ms 3932 KB answer = YES
44 Correct 2 ms 3932 KB answer = YES
45 Correct 2 ms 3932 KB answer = YES
46 Correct 3 ms 4088 KB answer = YES
47 Correct 3 ms 3920 KB answer = YES
48 Correct 2 ms 3920 KB answer = YES

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3920 KB answer = YES
2 Correct 2 ms 3920 KB answer = YES
3 Correct 2 ms 3920 KB answer = YES
4 Correct 2 ms 3832 KB answer = NO
5 Correct 2 ms 3920 KB answer = YES
6 Correct 2 ms 3920 KB answer = YES
7 Correct 2 ms 3920 KB answer = YES
8 Correct 2 ms 3920 KB answer = YES
9 Correct 2 ms 3664 KB answer = NO
10 Correct 2 ms 3920 KB answer = YES
11 Correct 2 ms 3920 KB answer = YES
12 Correct 2 ms 3664 KB answer = NO
13 Correct 2 ms 3920 KB answer = YES
14 Correct 2 ms 4092 KB answer = YES
15 Correct 2 ms 3920 KB answer = YES
16 Correct 2 ms 3920 KB answer = YES
17 Correct 2 ms 3920 KB answer = YES
18 Correct 2 ms 3920 KB answer = YES
19 Correct 2 ms 3920 KB answer = YES
20 Correct 2 ms 3920 KB answer = YES
21 Correct 2 ms 3920 KB answer = YES
22 Correct 2 ms 3664 KB answer = NO
23 Correct 2 ms 3920 KB answer = NO
24 Correct 2 ms 3920 KB answer = YES
25 Correct 2 ms 3920 KB answer = YES
26 Correct 2 ms 3920 KB answer = YES
27 Correct 2 ms 3920 KB answer = YES
28 Correct 2 ms 3920 KB answer = YES
29 Correct 3 ms 3920 KB answer = YES
30 Correct 2 ms 4088 KB answer = NO
31 Correct 2 ms 3920 KB answer = YES
32 Correct 3 ms 3920 KB answer = YES
33 Correct 2 ms 3920 KB answer = YES
34 Correct 2 ms 3920 KB answer = YES
35 Correct 2 ms 3920 KB answer = YES
36 Correct 2 ms 3812 KB answer = YES
37 Correct 3 ms 3920 KB answer = YES
38 Correct 2 ms 3920 KB answer = YES
39 Correct 2 ms 4088 KB answer = YES
40 Correct 3 ms 3920 KB answer = YES
41 Correct 2 ms 3920 KB answer = NO
42 Correct 3 ms 3932 KB answer = YES
43 Correct 3 ms 3932 KB answer = YES
44 Correct 2 ms 3932 KB answer = YES
45 Correct 2 ms 3932 KB answer = YES
46 Correct 3 ms 4088 KB answer = YES
47 Correct 3 ms 3920 KB answer = YES
48 Correct 2 ms 3920 KB answer = YES
49 Correct 9 ms 5120 KB answer = YES
50 Correct 9 ms 5456 KB answer = YES
51 Correct 9 ms 5376 KB answer = YES
52 Correct 5 ms 4604 KB answer = NO
53 Correct 2 ms 3920 KB answer = YES
54 Correct 4 ms 4176 KB answer = YES
55 Correct 5 ms 4432 KB answer = YES
56 Correct 8 ms 5136 KB answer = YES
57 Correct 8 ms 4944 KB answer = YES
58 Correct 8 ms 4944 KB answer = YES
59 Correct 8 ms 4944 KB answer = YES
60 Correct 15 ms 4944 KB answer = YES
61 Correct 5 ms 4432 KB answer = YES
62 Correct 41 ms 12984 KB answer = NO
63 Correct 51 ms 13896 KB answer = YES
64 Correct 46 ms 13896 KB answer = NO
65 Correct 50 ms 13904 KB answer = YES
66 Correct 3 ms 4092 KB answer = YES

Subtask #5
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3920 KB answer = YES
2 Correct 2 ms 3920 KB answer = YES
3 Correct 2 ms 3920 KB answer = YES
4 Correct 2 ms 3832 KB answer = NO
5 Correct 2 ms 3920 KB answer = YES
6 Correct 2 ms 3920 KB answer = YES
7 Correct 2 ms 3920 KB answer = YES
8 Correct 2 ms 3920 KB answer = YES
9 Correct 2 ms 3664 KB answer = NO
10 Correct 2 ms 3920 KB answer = YES
11 Correct 2 ms 3920 KB answer = YES
12 Correct 2 ms 3664 KB answer = NO
13 Correct 2 ms 3920 KB answer = YES
14 Correct 2 ms 4092 KB answer = YES
15 Correct 2 ms 3920 KB answer = YES
16 Correct 2 ms 3920 KB answer = YES
17 Correct 2 ms 3920 KB answer = YES
18 Correct 2 ms 3920 KB answer = YES
19 Correct 2 ms 3920 KB answer = YES
20 Correct 2 ms 3920 KB answer = YES
21 Correct 2 ms 3920 KB answer = YES
22 Correct 2 ms 3664 KB answer = NO
23 Correct 2 ms 3920 KB answer = NO
24 Correct 2 ms 3920 KB answer = YES
25 Correct 2 ms 3920 KB answer = YES
26 Correct 2 ms 3920 KB answer = YES
27 Correct 2 ms 3920 KB answer = YES
28 Correct 2 ms 3920 KB answer = YES
29 Correct 3 ms 3920 KB answer = YES
30 Correct 2 ms 4088 KB answer = NO
31 Correct 2 ms 3920 KB answer = YES
32 Correct 3 ms 3920 KB answer = YES
33 Correct 2 ms 3920 KB answer = YES
34 Correct 2 ms 3920 KB answer = YES
35 Correct 2 ms 3920 KB answer = YES
36 Correct 2 ms 3812 KB answer = YES
37 Correct 3 ms 3920 KB answer = YES
38 Correct 2 ms 3920 KB answer = YES
39 Correct 2 ms 4088 KB answer = YES
40 Correct 3 ms 3920 KB answer = YES
41 Correct 2 ms 3920 KB answer = NO
42 Correct 3 ms 3932 KB answer = YES
43 Correct 3 ms 3932 KB answer = YES
44 Correct 2 ms 3932 KB answer = YES
45 Correct 2 ms 3932 KB answer = YES
46 Correct 3 ms 4088 KB answer = YES
47 Correct 3 ms 3920 KB answer = YES
48 Correct 2 ms 3920 KB answer = YES
49 Correct 9 ms 5120 KB answer = YES
50 Correct 9 ms 5456 KB answer = YES
51 Correct 9 ms 5376 KB answer = YES
52 Correct 5 ms 4604 KB answer = NO
53 Correct 2 ms 3920 KB answer = YES
54 Correct 4 ms 4176 KB answer = YES
55 Correct 5 ms 4432 KB answer = YES
56 Correct 8 ms 5136 KB answer = YES
57 Correct 8 ms 4944 KB answer = YES
58 Correct 8 ms 4944 KB answer = YES
59 Correct 8 ms 4944 KB answer = YES
60 Correct 15 ms 4944 KB answer = YES
61 Correct 5 ms 4432 KB answer = YES
62 Correct 41 ms 12984 KB answer = NO
63 Correct 51 ms 13896 KB answer = YES
64 Correct 46 ms 13896 KB answer = NO
65 Correct 50 ms 13904 KB answer = YES
66 Correct 3 ms 4092 KB answer = YES
67 Correct 86 ms 19952 KB answer = YES
68 Correct 70 ms 19752 KB answer = YES
69 Correct 67 ms 19900 KB answer = YES
70 Correct 97 ms 26056 KB answer = YES
71 Correct 69 ms 19904 KB answer = YES
72 Correct 76 ms 13868 KB answer = YES
73 Correct 71 ms 14068 KB answer = YES
74 Correct 53 ms 13676 KB answer = YES
75 Correct 19 ms 9936 KB answer = NO
76 Correct 10 ms 5360 KB answer = YES
77 Correct 19 ms 6788 KB answer = YES
78 Correct 32 ms 8432 KB answer = YES
79 Correct 62 ms 12452 KB answer = YES
80 Correct 54 ms 13648 KB answer = YES
81 Correct 31 ms 14144 KB answer = NO
82 Correct 81 ms 19388 KB answer = YES
83 Correct 96 ms 20424 KB answer = YES
84 Correct 106 ms 20524 KB answer = YES
85 Correct 77 ms 19928 KB answer = YES
86 Correct 83 ms 19900 KB answer = YES
87 Correct 48 ms 13352 KB answer = NO
88 Correct 110 ms 16320 KB answer = YES
89 Correct 74 ms 12616 KB answer = YES
90 Correct 76 ms 12624 KB answer = YES
91 Correct 77 ms 13128 KB answer = YES
92 Correct 37 ms 9152 KB answer = YES
93 Correct 38 ms 9160 KB answer = YES
94 Correct 58 ms 17852 KB answer = NO
95 Correct 32 ms 11384 KB answer = NO
96 Correct 140 ms 22976 KB answer = YES
97 Correct 38 ms 17240 KB answer = NO