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Submission #1058006

# Submission time Handle Problem Language Result Execution time Memory
1058006 2024-08-14T07:57:06 Z aykhn Digital Circuit (IOI22_circuit) C++17
18 / 100
 3000 ms 16416 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, res = 0;
vector<int> A, P;
vector<int> adj[MXN];
int dp[2][MXN], SZ[MXN];
int cnt = 0;
 
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);
}

int val[MXN];
array<int, 2> st[MXN << 2];
int lz[MXN << 2];

void relax(int l, int r, int x)
{
  if (!lz[x]) return;
  swap(st[x][0], st[x][1]);
  if (l == r)
  {
    lz[x] = 0;
    return;
  }
  lz[2*x] ^= lz[x], lz[2*x + 1] ^= lz[x];
  lz[x] = 0;
}

void upd(int l, int r, int x, int lx, int rx)
{
  relax(l, r, x);
  if (l > rx || r < lx) return;
  if (l >= lx && r <= rx)
  {
    lz[x] ^= 1;
    relax(l, r, x);
    return;
  }
  int mid = (l + r) >> 1;
  upd(l, mid, 2*x, lx, rx);
  upd(mid + 1, r, 2*x + 1, lx, rx);
  st[x][0] = (st[2*x][0] + st[2*x + 1][0]) % mod;
  st[x][1] = (st[2*x][1] + st[2*x + 1][1]) % mod;
}

void build(int l, int r, int x)
{
  if (l == r)
  {
    st[x][0] = A[l] * val[l];
    st[x][1] = (A[l] ^ 1) * val[l];
    return;
  }
  int mid = (l + r) >> 1;
  build(l, mid, 2*x);
  build(mid + 1, r, 2*x + 1);
  st[x][0] = (st[2*x][0] + st[2*x + 1][0]) % mod;
  st[x][1] = (st[2*x][1] + st[2*x + 1][1]) % mod;
}
 
void init(int32_t N, int32_t M, vector<int32_t> PP, vector<int32_t> AA) 
{
  n = N, m = M;
  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);
  vector<int> prev = A;
  A.assign(N + M, 0);
  dfs(0);
  int org = dp[1][0];
  for (int i = N; i < N + M; i++)
  {
    A[i] = 1;
    dfs(0);
    val[i] = (dp[1][0] - org + mod) % mod;
    A[i] = 0;
  }
  A = prev;
  build(N, N + M - 1, 1);
}
 
int32_t count_ways(int32_t L, int32_t R) {
  upd(n, n + m - 1, 1, L, R);
  return st[1][0];
}

Subtask #1
2.0 / 2.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 13400 KB Output is correct
2 Correct 2 ms 13400 KB Output is correct
3 Correct 2608 ms 13628 KB Output is correct
4 Correct 2820 ms 13620 KB Output is correct
5 Correct 2860 ms 13628 KB Output is correct
6 Correct 2879 ms 13624 KB Output is correct
7 Correct 2784 ms 13624 KB Output is correct
8 Correct 2788 ms 13628 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 13396 KB Output is correct
2 Correct 5 ms 13400 KB Output is correct
3 Correct 15 ms 13400 KB Output is correct
4 Correct 15 ms 13644 KB Output is correct
5 Correct 15 ms 13640 KB Output is correct
6 Correct 33 ms 13644 KB Output is correct
7 Correct 62 ms 13664 KB Output is correct
8 Correct 58 ms 13680 KB Output is correct
9 Correct 58 ms 13648 KB Output is correct
10 Correct 55 ms 13700 KB Output is correct
11 Correct 54 ms 13648 KB Output is correct
12 Correct 40 ms 13656 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 13400 KB Output is correct
2 Correct 2 ms 13400 KB Output is correct
3 Correct 2608 ms 13628 KB Output is correct
4 Correct 2820 ms 13620 KB Output is correct
5 Correct 2860 ms 13628 KB Output is correct
6 Correct 2879 ms 13624 KB Output is correct
7 Correct 2784 ms 13624 KB Output is correct
8 Correct 2788 ms 13628 KB Output is correct
9 Correct 2 ms 13396 KB Output is correct
10 Correct 5 ms 13400 KB Output is correct
11 Correct 15 ms 13400 KB Output is correct
12 Correct 15 ms 13644 KB Output is correct
13 Correct 15 ms 13640 KB Output is correct
14 Correct 33 ms 13644 KB Output is correct
15 Correct 62 ms 13664 KB Output is correct
16 Correct 58 ms 13680 KB Output is correct
17 Correct 58 ms 13648 KB Output is correct
18 Correct 55 ms 13700 KB Output is correct
19 Correct 54 ms 13648 KB Output is correct
20 Correct 40 ms 13656 KB Output is correct
21 Correct 47 ms 13648 KB Output is correct
22 Correct 20 ms 13656 KB Output is correct
23 Correct 21 ms 13656 KB Output is correct
24 Correct 60 ms 13688 KB Output is correct
25 Correct 62 ms 13684 KB Output is correct
26 Correct 61 ms 13648 KB Output is correct
27 Correct 62 ms 13672 KB Output is correct
28 Correct 61 ms 13684 KB Output is correct
29 Correct 2831 ms 13624 KB Output is correct
30 Correct 2767 ms 13396 KB Output is correct
31 Correct 2 ms 13656 KB Output is correct
32 Correct 60 ms 13672 KB Output is correct
33 Correct 40 ms 13648 KB Output is correct
34 Correct 36 ms 13644 KB Output is correct
35 Correct 528 ms 13620 KB Output is correct
36 Correct 54 ms 13648 KB Output is correct
37 Correct 2856 ms 13704 KB Output is correct
38 Correct 2885 ms 13708 KB Output is correct
39 Correct 14 ms 13656 KB Output is correct
40 Correct 31 ms 13644 KB Output is correct
41 Correct 30 ms 13644 KB Output is correct
42 Correct 101 ms 13624 KB Output is correct

Subtask #4
0 / 4.0

# Verdict Execution time Memory Grader output
1 Execution timed out 3045 ms 14676 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 3045 ms 14676 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 13396 KB Output is correct
2 Correct 5 ms 13400 KB Output is correct
3 Correct 15 ms 13400 KB Output is correct
4 Correct 15 ms 13644 KB Output is correct
5 Correct 15 ms 13640 KB Output is correct
6 Correct 33 ms 13644 KB Output is correct
7 Correct 62 ms 13664 KB Output is correct
8 Correct 58 ms 13680 KB Output is correct
9 Correct 58 ms 13648 KB Output is correct
10 Correct 55 ms 13700 KB Output is correct
11 Correct 54 ms 13648 KB Output is correct
12 Correct 40 ms 13656 KB Output is correct
13 Execution timed out 3045 ms 14676 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 13400 KB Output is correct
2 Correct 2 ms 13400 KB Output is correct
3 Correct 2608 ms 13628 KB Output is correct
4 Correct 2820 ms 13620 KB Output is correct
5 Correct 2860 ms 13628 KB Output is correct
6 Correct 2879 ms 13624 KB Output is correct
7 Correct 2784 ms 13624 KB Output is correct
8 Correct 2788 ms 13628 KB Output is correct
9 Correct 2 ms 13396 KB Output is correct
10 Correct 5 ms 13400 KB Output is correct
11 Correct 15 ms 13400 KB Output is correct
12 Correct 15 ms 13644 KB Output is correct
13 Correct 15 ms 13640 KB Output is correct
14 Correct 33 ms 13644 KB Output is correct
15 Correct 62 ms 13664 KB Output is correct
16 Correct 58 ms 13680 KB Output is correct
17 Correct 58 ms 13648 KB Output is correct
18 Correct 55 ms 13700 KB Output is correct
19 Correct 54 ms 13648 KB Output is correct
20 Correct 40 ms 13656 KB Output is correct
21 Correct 47 ms 13648 KB Output is correct
22 Correct 20 ms 13656 KB Output is correct
23 Correct 21 ms 13656 KB Output is correct
24 Correct 60 ms 13688 KB Output is correct
25 Correct 62 ms 13684 KB Output is correct
26 Correct 61 ms 13648 KB Output is correct
27 Correct 62 ms 13672 KB Output is correct
28 Correct 61 ms 13684 KB Output is correct
29 Correct 2831 ms 13624 KB Output is correct
30 Correct 2767 ms 13396 KB Output is correct
31 Correct 2 ms 13656 KB Output is correct
32 Correct 60 ms 13672 KB Output is correct
33 Correct 40 ms 13648 KB Output is correct
34 Correct 36 ms 13644 KB Output is correct
35 Correct 528 ms 13620 KB Output is correct
36 Correct 54 ms 13648 KB Output is correct
37 Correct 2856 ms 13704 KB Output is correct
38 Correct 2885 ms 13708 KB Output is correct
39 Correct 14 ms 13656 KB Output is correct
40 Correct 31 ms 13644 KB Output is correct
41 Correct 30 ms 13644 KB Output is correct
42 Correct 101 ms 13624 KB Output is correct
43 Correct 888 ms 15952 KB Output is correct
44 Correct 1111 ms 15952 KB Output is correct
45 Correct 1106 ms 15952 KB Output is correct
46 Correct 2442 ms 16416 KB Output is correct
47 Correct 2508 ms 16172 KB Output is correct
48 Correct 2572 ms 16156 KB Output is correct
49 Correct 2410 ms 16160 KB Output is correct
50 Correct 2500 ms 15956 KB Output is correct
51 Execution timed out 3044 ms 11600 KB Time limit exceeded
52 Halted 0 ms 0 KB -

Subtask #8
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 13400 KB Output is correct
2 Correct 2 ms 13400 KB Output is correct
3 Correct 2608 ms 13628 KB Output is correct
4 Correct 2820 ms 13620 KB Output is correct
5 Correct 2860 ms 13628 KB Output is correct
6 Correct 2879 ms 13624 KB Output is correct
7 Correct 2784 ms 13624 KB Output is correct
8 Correct 2788 ms 13628 KB Output is correct
9 Correct 2 ms 13396 KB Output is correct
10 Correct 5 ms 13400 KB Output is correct
11 Correct 15 ms 13400 KB Output is correct
12 Correct 15 ms 13644 KB Output is correct
13 Correct 15 ms 13640 KB Output is correct
14 Correct 33 ms 13644 KB Output is correct
15 Correct 62 ms 13664 KB Output is correct
16 Correct 58 ms 13680 KB Output is correct
17 Correct 58 ms 13648 KB Output is correct
18 Correct 55 ms 13700 KB Output is correct
19 Correct 54 ms 13648 KB Output is correct
20 Correct 40 ms 13656 KB Output is correct
21 Correct 47 ms 13648 KB Output is correct
22 Correct 20 ms 13656 KB Output is correct
23 Correct 21 ms 13656 KB Output is correct
24 Correct 60 ms 13688 KB Output is correct
25 Correct 62 ms 13684 KB Output is correct
26 Correct 61 ms 13648 KB Output is correct
27 Correct 62 ms 13672 KB Output is correct
28 Correct 61 ms 13684 KB Output is correct
29 Correct 2831 ms 13624 KB Output is correct
30 Correct 2767 ms 13396 KB Output is correct
31 Correct 2 ms 13656 KB Output is correct
32 Correct 60 ms 13672 KB Output is correct
33 Correct 40 ms 13648 KB Output is correct
34 Correct 36 ms 13644 KB Output is correct
35 Correct 528 ms 13620 KB Output is correct
36 Correct 54 ms 13648 KB Output is correct
37 Correct 2856 ms 13704 KB Output is correct
38 Correct 2885 ms 13708 KB Output is correct
39 Correct 14 ms 13656 KB Output is correct
40 Correct 31 ms 13644 KB Output is correct
41 Correct 30 ms 13644 KB Output is correct
42 Correct 101 ms 13624 KB Output is correct
43 Execution timed out 3045 ms 14676 KB Time limit exceeded
44 Halted 0 ms 0 KB -