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Submission #760975

# Submission time Handle Problem Language Result Execution time Memory
760975 2023-06-19T01:38:13 Z ND0322 The Xana coup (BOI21_xanadu) C++17
100 / 100
 104 ms 16532 KB 
#include <bits/stdc++.h>

using namespace std;

const int MAXN = 1e5+5;
const int INF = 1e5+10;

int dp[MAXN][2][2],temp[2][2],n;

bool state[MAXN];

vector<int> adj[MAXN];


//let dp[u][p][t] be the minimum number of moves to turn off node u and its subtree where p is true if the parent toggled their bulb and false otherwise, t is if we intend to toggle the current nod

void dfs(int node, int par){

  for(int i = 0; i <= 1; i++){
    dp[node][i][state[node] ^ i] = i;
    dp[node][i][state[node] ^ i ^ 1] = INF;
  }
  



  for(int child:adj[node]){
    if(child == par) continue;

    dfs(child,node);

    for(int i = 0; i <= 1; i++){

      int odd = dp[node][i][1];
      int even = dp[node][i][0];
      
      dp[node][i][0] = min({INF, even + dp[child][0][i], odd + dp[child][1][i]});
      dp[node][i][1] = min({INF, even + dp[child][1][i], odd + dp[child][0][i]});
      
    }
  }
}

int main() {
  cin >> n;

  for(int i = 0; i < n-1; i++){
    int x,y; cin >> x >> y;

    adj[x].push_back(y);
    adj[y].push_back(x);
  }


  for(int i = 1; i <= n; i ++){
    cin >> state[i];
  }

  dfs(1,-1);

 int ans = min(dp[1][0][0],dp[1][1][0]);

  if(ans >= INF){
    cout << "impossible\n";
  }
  else{
    cout << ans << "\n";
  }
  
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 2 ms 2572 KB Output is correct
3 Correct 1 ms 2644 KB Output is correct
4 Correct 2 ms 2644 KB Output is correct
5 Correct 2 ms 2644 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 2 ms 2572 KB Output is correct
3 Correct 1 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 2 ms 2644 KB Output is correct
7 Correct 2 ms 2644 KB Output is correct
8 Correct 2 ms 2660 KB Output is correct
9 Correct 1 ms 2644 KB Output is correct
10 Correct 2 ms 2636 KB Output is correct
11 Correct 1 ms 2644 KB Output is correct
12 Correct 2 ms 2656 KB Output is correct
13 Correct 2 ms 2644 KB Output is correct
14 Correct 2 ms 2644 KB Output is correct
15 Correct 2 ms 2644 KB Output is correct
16 Correct 1 ms 2656 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 75 ms 16480 KB Output is correct
2 Correct 67 ms 16340 KB Output is correct
3 Correct 69 ms 16524 KB Output is correct

Subtask #4
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 72 ms 16424 KB Output is correct
2 Correct 79 ms 16332 KB Output is correct
3 Correct 78 ms 16532 KB Output is correct
4 Correct 60 ms 8116 KB Output is correct
5 Correct 66 ms 8612 KB Output is correct
6 Correct 68 ms 8748 KB Output is correct
7 Correct 2 ms 2644 KB Output is correct
8 Correct 31 ms 4644 KB Output is correct
9 Correct 76 ms 8772 KB Output is correct
10 Correct 76 ms 8756 KB Output is correct
11 Correct 71 ms 9160 KB Output is correct
12 Correct 66 ms 9388 KB Output is correct
13 Correct 60 ms 8344 KB Output is correct
14 Correct 65 ms 8652 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 2 ms 2572 KB Output is correct
3 Correct 1 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 2 ms 2644 KB Output is correct
7 Correct 2 ms 2644 KB Output is correct
8 Correct 2 ms 2660 KB Output is correct
9 Correct 1 ms 2644 KB Output is correct
10 Correct 2 ms 2636 KB Output is correct
11 Correct 1 ms 2644 KB Output is correct
12 Correct 2 ms 2656 KB Output is correct
13 Correct 2 ms 2644 KB Output is correct
14 Correct 2 ms 2644 KB Output is correct
15 Correct 2 ms 2644 KB Output is correct
16 Correct 1 ms 2656 KB Output is correct
17 Correct 75 ms 16480 KB Output is correct
18 Correct 67 ms 16340 KB Output is correct
19 Correct 69 ms 16524 KB Output is correct
20 Correct 72 ms 16424 KB Output is correct
21 Correct 79 ms 16332 KB Output is correct
22 Correct 78 ms 16532 KB Output is correct
23 Correct 60 ms 8116 KB Output is correct
24 Correct 66 ms 8612 KB Output is correct
25 Correct 68 ms 8748 KB Output is correct
26 Correct 2 ms 2644 KB Output is correct
27 Correct 31 ms 4644 KB Output is correct
28 Correct 76 ms 8772 KB Output is correct
29 Correct 76 ms 8756 KB Output is correct
30 Correct 71 ms 9160 KB Output is correct
31 Correct 66 ms 9388 KB Output is correct
32 Correct 60 ms 8344 KB Output is correct
33 Correct 65 ms 8652 KB Output is correct
34 Correct 2 ms 2644 KB Output is correct
35 Correct 2 ms 2656 KB Output is correct
36 Correct 2 ms 2644 KB Output is correct
37 Correct 1 ms 2656 KB Output is correct
38 Correct 2 ms 2644 KB Output is correct
39 Correct 2 ms 2644 KB Output is correct
40 Correct 2 ms 2660 KB Output is correct
41 Correct 2 ms 2656 KB Output is correct
42 Correct 1 ms 2644 KB Output is correct
43 Correct 2 ms 2644 KB Output is correct
44 Correct 2 ms 2660 KB Output is correct
45 Correct 74 ms 16524 KB Output is correct
46 Correct 104 ms 16352 KB Output is correct
47 Correct 71 ms 16504 KB Output is correct
48 Correct 61 ms 8016 KB Output is correct
49 Correct 64 ms 8532 KB Output is correct
50 Correct 91 ms 8732 KB Output is correct
51 Correct 2 ms 2644 KB Output is correct
52 Correct 28 ms 4700 KB Output is correct
53 Correct 69 ms 8724 KB Output is correct
54 Correct 70 ms 8784 KB Output is correct
55 Correct 67 ms 9236 KB Output is correct
56 Correct 73 ms 9384 KB Output is correct
57 Correct 67 ms 8380 KB Output is correct
58 Correct 84 ms 8712 KB Output is correct
59 Correct 22 ms 4652 KB Output is correct
60 Correct 83 ms 8124 KB Output is correct
61 Correct 95 ms 8636 KB Output is correct
62 Correct 68 ms 8844 KB Output is correct
63 Correct 72 ms 8860 KB Output is correct
64 Correct 71 ms 8856 KB Output is correct
65 Correct 87 ms 9312 KB Output is correct
66 Correct 82 ms 9312 KB Output is correct
67 Correct 62 ms 9164 KB Output is correct
68 Correct 65 ms 9124 KB Output is correct
69 Correct 63 ms 9136 KB Output is correct
70 Correct 76 ms 9092 KB Output is correct