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Submission #1057828

# Submission time Handle Problem Language Result Execution time Memory
1057828 2024-08-14T06:32:34 Z aykhn Digital Circuit (IOI22_circuit) C++17
18 / 100
 3000 ms 8396 KB 
#include <bits/stdc++.h>
#include "circuit.h"

using namespace std;

#define int long long

const int MXN = 2e5 + 5;
const int mod = 1e9 + 2022;

int n, m;
vector<int> A, P;
vector<int> adj[MXN];
int dp[2][MXN];

void calc(int a)
{
  dp[0][a] = dp[1][a] = 0;
  if (adj[a].empty())
  {
    dp[0][a] = A[a] ^ 1;
    dp[1][a] = A[a];
    return;
  }
  int sz = adj[a].size();
  vector<int> dp1(sz + 1, 0);
  dp1[0] = 1;
  for (int &v : adj[a])
  {
    for (int i = sz; i >= 0; i--)
    {
      dp1[i] = (dp1[i] * dp[0][v]) % mod;
      if (i) dp1[i] = (dp1[i] + ((dp1[i - 1] * dp[1][v]) % mod)) % mod;
    }
  }
  for (int i = 0; i <= sz; i++)
  {
    dp[0][a] = (dp[0][a] + (((sz - i) * dp1[i]) % mod)) % mod;
    dp[1][a] = (dp[1][a] +  ((i * dp1[i]) % mod)) % mod;
  }
}

void dfs(int a)
{
  for (int &v : adj[a])
  {
    dfs(v);
  }
  calc(a);
}

void init(int32_t N, int32_t M, vector<int32_t> PP, vector<int32_t> AA) 
{
  for (int32_t &i : PP) P.push_back(i);
  for (int32_t &i : AA) A.push_back(i);
  reverse(A.begin(), A.end());
  A.resize(N + M, 0);
  reverse(A.begin(), A.end());
  for (int i = 1; i < N + M; i++) adj[P[i]].push_back(i);
}

int32_t count_ways(int32_t L, int32_t R) {
  for (int i = L; i <= R; i++) A[i] ^= 1;
  dfs(0);
  return dp[1][0];
}

Subtask #1
2.0 / 2.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8024 KB Output is correct
2 Correct 1 ms 8024 KB Output is correct
3 Correct 17 ms 8024 KB Output is correct
4 Correct 18 ms 8144 KB Output is correct
5 Correct 19 ms 8024 KB Output is correct
6 Correct 18 ms 8024 KB Output is correct
7 Correct 18 ms 8024 KB Output is correct
8 Correct 19 ms 8024 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8024 KB Output is correct
2 Correct 2 ms 8024 KB Output is correct
3 Correct 2 ms 8024 KB Output is correct
4 Correct 2 ms 8112 KB Output is correct
5 Correct 2 ms 8024 KB Output is correct
6 Correct 2 ms 8024 KB Output is correct
7 Correct 3 ms 8024 KB Output is correct
8 Correct 2 ms 8024 KB Output is correct
9 Correct 4 ms 8024 KB Output is correct
10 Correct 3 ms 8024 KB Output is correct
11 Correct 2 ms 8024 KB Output is correct
12 Correct 2 ms 8024 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8024 KB Output is correct
2 Correct 1 ms 8024 KB Output is correct
3 Correct 17 ms 8024 KB Output is correct
4 Correct 18 ms 8144 KB Output is correct
5 Correct 19 ms 8024 KB Output is correct
6 Correct 18 ms 8024 KB Output is correct
7 Correct 18 ms 8024 KB Output is correct
8 Correct 19 ms 8024 KB Output is correct
9 Correct 2 ms 8024 KB Output is correct
10 Correct 2 ms 8024 KB Output is correct
11 Correct 2 ms 8024 KB Output is correct
12 Correct 2 ms 8112 KB Output is correct
13 Correct 2 ms 8024 KB Output is correct
14 Correct 2 ms 8024 KB Output is correct
15 Correct 3 ms 8024 KB Output is correct
16 Correct 2 ms 8024 KB Output is correct
17 Correct 4 ms 8024 KB Output is correct
18 Correct 3 ms 8024 KB Output is correct
19 Correct 2 ms 8024 KB Output is correct
20 Correct 2 ms 8024 KB Output is correct
21 Correct 2 ms 8024 KB Output is correct
22 Correct 2 ms 8024 KB Output is correct
23 Correct 2 ms 8024 KB Output is correct
24 Correct 2 ms 8024 KB Output is correct
25 Correct 2 ms 8024 KB Output is correct
26 Correct 2 ms 8024 KB Output is correct
27 Correct 2 ms 8024 KB Output is correct
28 Correct 2 ms 8024 KB Output is correct
29 Correct 18 ms 8024 KB Output is correct
30 Correct 19 ms 4952 KB Output is correct
31 Correct 2 ms 5208 KB Output is correct
32 Correct 2 ms 5208 KB Output is correct
33 Correct 2 ms 5208 KB Output is correct
34 Correct 2 ms 5208 KB Output is correct
35 Correct 5 ms 4952 KB Output is correct
36 Correct 2 ms 5208 KB Output is correct
37 Correct 22 ms 5208 KB Output is correct
38 Correct 27 ms 5208 KB Output is correct
39 Correct 3 ms 5208 KB Output is correct
40 Correct 4 ms 5208 KB Output is correct
41 Correct 2 ms 5208 KB Output is correct
42 Correct 3 ms 4952 KB Output is correct

Subtask #4
0 / 4.0

# Verdict Execution time Memory Grader output
1 Execution timed out 3038 ms 8396 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #5
0 / 12.0

# Verdict Execution time Memory Grader output
1 Execution timed out 3038 ms 8396 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #6
0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8024 KB Output is correct
2 Correct 2 ms 8024 KB Output is correct
3 Correct 2 ms 8024 KB Output is correct
4 Correct 2 ms 8112 KB Output is correct
5 Correct 2 ms 8024 KB Output is correct
6 Correct 2 ms 8024 KB Output is correct
7 Correct 3 ms 8024 KB Output is correct
8 Correct 2 ms 8024 KB Output is correct
9 Correct 4 ms 8024 KB Output is correct
10 Correct 3 ms 8024 KB Output is correct
11 Correct 2 ms 8024 KB Output is correct
12 Correct 2 ms 8024 KB Output is correct
13 Execution timed out 3038 ms 8396 KB Time limit exceeded
14 Halted 0 ms 0 KB -

Subtask #7
0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8024 KB Output is correct
2 Correct 1 ms 8024 KB Output is correct
3 Correct 17 ms 8024 KB Output is correct
4 Correct 18 ms 8144 KB Output is correct
5 Correct 19 ms 8024 KB Output is correct
6 Correct 18 ms 8024 KB Output is correct
7 Correct 18 ms 8024 KB Output is correct
8 Correct 19 ms 8024 KB Output is correct
9 Correct 2 ms 8024 KB Output is correct
10 Correct 2 ms 8024 KB Output is correct
11 Correct 2 ms 8024 KB Output is correct
12 Correct 2 ms 8112 KB Output is correct
13 Correct 2 ms 8024 KB Output is correct
14 Correct 2 ms 8024 KB Output is correct
15 Correct 3 ms 8024 KB Output is correct
16 Correct 2 ms 8024 KB Output is correct
17 Correct 4 ms 8024 KB Output is correct
18 Correct 3 ms 8024 KB Output is correct
19 Correct 2 ms 8024 KB Output is correct
20 Correct 2 ms 8024 KB Output is correct
21 Correct 2 ms 8024 KB Output is correct
22 Correct 2 ms 8024 KB Output is correct
23 Correct 2 ms 8024 KB Output is correct
24 Correct 2 ms 8024 KB Output is correct
25 Correct 2 ms 8024 KB Output is correct
26 Correct 2 ms 8024 KB Output is correct
27 Correct 2 ms 8024 KB Output is correct
28 Correct 2 ms 8024 KB Output is correct
29 Correct 18 ms 8024 KB Output is correct
30 Correct 19 ms 4952 KB Output is correct
31 Correct 2 ms 5208 KB Output is correct
32 Correct 2 ms 5208 KB Output is correct
33 Correct 2 ms 5208 KB Output is correct
34 Correct 2 ms 5208 KB Output is correct
35 Correct 5 ms 4952 KB Output is correct
36 Correct 2 ms 5208 KB Output is correct
37 Correct 22 ms 5208 KB Output is correct
38 Correct 27 ms 5208 KB Output is correct
39 Correct 3 ms 5208 KB Output is correct
40 Correct 4 ms 5208 KB Output is correct
41 Correct 2 ms 5208 KB Output is correct
42 Correct 3 ms 4952 KB Output is correct
43 Execution timed out 3084 ms 5464 KB Time limit exceeded
44 Halted 0 ms 0 KB -

Subtask #8
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8024 KB Output is correct
2 Correct 1 ms 8024 KB Output is correct
3 Correct 17 ms 8024 KB Output is correct
4 Correct 18 ms 8144 KB Output is correct
5 Correct 19 ms 8024 KB Output is correct
6 Correct 18 ms 8024 KB Output is correct
7 Correct 18 ms 8024 KB Output is correct
8 Correct 19 ms 8024 KB Output is correct
9 Correct 2 ms 8024 KB Output is correct
10 Correct 2 ms 8024 KB Output is correct
11 Correct 2 ms 8024 KB Output is correct
12 Correct 2 ms 8112 KB Output is correct
13 Correct 2 ms 8024 KB Output is correct
14 Correct 2 ms 8024 KB Output is correct
15 Correct 3 ms 8024 KB Output is correct
16 Correct 2 ms 8024 KB Output is correct
17 Correct 4 ms 8024 KB Output is correct
18 Correct 3 ms 8024 KB Output is correct
19 Correct 2 ms 8024 KB Output is correct
20 Correct 2 ms 8024 KB Output is correct
21 Correct 2 ms 8024 KB Output is correct
22 Correct 2 ms 8024 KB Output is correct
23 Correct 2 ms 8024 KB Output is correct
24 Correct 2 ms 8024 KB Output is correct
25 Correct 2 ms 8024 KB Output is correct
26 Correct 2 ms 8024 KB Output is correct
27 Correct 2 ms 8024 KB Output is correct
28 Correct 2 ms 8024 KB Output is correct
29 Correct 18 ms 8024 KB Output is correct
30 Correct 19 ms 4952 KB Output is correct
31 Correct 2 ms 5208 KB Output is correct
32 Correct 2 ms 5208 KB Output is correct
33 Correct 2 ms 5208 KB Output is correct
34 Correct 2 ms 5208 KB Output is correct
35 Correct 5 ms 4952 KB Output is correct
36 Correct 2 ms 5208 KB Output is correct
37 Correct 22 ms 5208 KB Output is correct
38 Correct 27 ms 5208 KB Output is correct
39 Correct 3 ms 5208 KB Output is correct
40 Correct 4 ms 5208 KB Output is correct
41 Correct 2 ms 5208 KB Output is correct
42 Correct 3 ms 4952 KB Output is correct
43 Execution timed out 3038 ms 8396 KB Time limit exceeded
44 Halted 0 ms 0 KB -