oj.uz

Submission #628406

# Submission time Handle Problem Language Result Execution time Memory
628406 2022-08-13T11:38:19 Z c28dnv9q3 Digital Circuit (IOI22_circuit) C++17
18 / 100
 3000 ms 8496 KB 
#include "circuit.h"
#include <vector>
#include <cstdio>

using namespace std;
using ll = long long;

// N ... num threshold gates
// M ... num source gates

vector<int> A;
int N, M;
const int MOD = 1000002022;
vector<vector<int>> tree;

void init(int N, int M, vector<int> P, vector<int> A) {
  ::A = A;
  ::N = N;
  ::M = M;
  tree.resize(N);
  for (int i = 1; i < P.size(); i++)
    tree[P[i]].push_back(i);
}
ll mmod(ll v) {
  return ((v % MOD) + MOD) % MOD;
}

pair<ll,ll> countrec(int i) {
  if (i >= N) {
    if (A[i-N]) return {0, 1};
    else return {1, 0};
  }
  int k = tree[i].size();
  vector<pair<ll,ll>> v(k);
  for (int j = 0; j < k; j++)
    v[j] = countrec(tree[i][j]);
  vector<vector<ll>> mul(k+1, vector<ll>(k+1));
  mul[0][0] = 1;
  for (int j = 1; j <= k; j++)
    mul[0][j] = (mul[0][j-1] * v[j-1].first) % MOD;
  for (int l = 1; l <= k; l++) {
    for (int j = 1; j <= k; j++) {
      mul[l][j] = (
        mul[l-1][j-1] * v[j-1].second
        + mul[l][j-1] * v[j-1].first
      ) % MOD;
    }
  }
  ll ans = 0;
  for (int l = 1; l <= k; l++) {
    ans = (ans + mul[l][k]*l) % MOD;
  }
  ll tot = k;
  for (int j = 0; j < k; j++)
    tot = (tot * (v[j].first + v[j].second)) % MOD;
  /*printf("%d: tot=%lld ans=%lld\n", i, tot, ans);
  printf("V %d: ", i);
  for (auto it : v)
    printf("{%lld,%lld} ", it.first, it.second);
  printf("\n");*/
  return {mmod(tot-ans), mmod(ans)};
}

// toggle state of source gates between L and R (inclusive)
// return num distinctive param assignments with gate#0 = 1
int count_ways(int L, int R) {
  for (int i = L; i <= R; i++)
    A[i-N] = 1-A[i-N];
  
  return countrec(0).second;
}

Compilation message

circuit.cpp: In function 'void init(int, int, std::vector<int>, std::vector<int>)':
circuit.cpp:21:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   21 |   for (int i = 1; i < P.size(); i++)
      |                   ~~^~~~~~~~~~

Subtask #1
2.0 / 2.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 208 KB Output is correct
2 Correct 0 ms 208 KB Output is correct
3 Correct 47 ms 7740 KB Output is correct
4 Correct 52 ms 8236 KB Output is correct
5 Correct 51 ms 8208 KB Output is correct
6 Correct 50 ms 8180 KB Output is correct
7 Correct 56 ms 8212 KB Output is correct
8 Correct 51 ms 8212 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 208 KB Output is correct
2 Correct 1 ms 208 KB Output is correct
3 Correct 1 ms 208 KB Output is correct
4 Correct 1 ms 208 KB Output is correct
5 Correct 1 ms 208 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 3 ms 336 KB Output is correct
8 Correct 2 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 2 ms 564 KB Output is correct
11 Correct 3 ms 464 KB Output is correct
12 Correct 1 ms 336 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 208 KB Output is correct
2 Correct 0 ms 208 KB Output is correct
3 Correct 47 ms 7740 KB Output is correct
4 Correct 52 ms 8236 KB Output is correct
5 Correct 51 ms 8208 KB Output is correct
6 Correct 50 ms 8180 KB Output is correct
7 Correct 56 ms 8212 KB Output is correct
8 Correct 51 ms 8212 KB Output is correct
9 Correct 0 ms 208 KB Output is correct
10 Correct 1 ms 208 KB Output is correct
11 Correct 1 ms 208 KB Output is correct
12 Correct 1 ms 208 KB Output is correct
13 Correct 1 ms 208 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 3 ms 336 KB Output is correct
16 Correct 2 ms 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 2 ms 564 KB Output is correct
19 Correct 3 ms 464 KB Output is correct
20 Correct 1 ms 336 KB Output is correct
21 Correct 1 ms 336 KB Output is correct
22 Correct 1 ms 336 KB Output is correct
23 Correct 1 ms 208 KB Output is correct
24 Correct 2 ms 336 KB Output is correct
25 Correct 2 ms 336 KB Output is correct
26 Correct 2 ms 336 KB Output is correct
27 Correct 2 ms 336 KB Output is correct
28 Correct 2 ms 336 KB Output is correct
29 Correct 53 ms 8224 KB Output is correct
30 Correct 56 ms 8224 KB Output is correct
31 Correct 1 ms 464 KB Output is correct
32 Correct 1 ms 336 KB Output is correct
33 Correct 1 ms 208 KB Output is correct
34 Correct 1 ms 208 KB Output is correct
35 Correct 10 ms 720 KB Output is correct
36 Correct 1 ms 464 KB Output is correct
37 Correct 53 ms 8496 KB Output is correct
38 Correct 51 ms 8460 KB Output is correct
39 Correct 1 ms 336 KB Output is correct
40 Correct 2 ms 208 KB Output is correct
41 Correct 1 ms 208 KB Output is correct
42 Correct 2 ms 368 KB Output is correct

Subtask #4
0 / 4.0

# Verdict Execution time Memory Grader output
1 Execution timed out 3005 ms 2872 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 3005 ms 2872 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #6
0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 208 KB Output is correct
2 Correct 1 ms 208 KB Output is correct
3 Correct 1 ms 208 KB Output is correct
4 Correct 1 ms 208 KB Output is correct
5 Correct 1 ms 208 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 3 ms 336 KB Output is correct
8 Correct 2 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 2 ms 564 KB Output is correct
11 Correct 3 ms 464 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Execution timed out 3005 ms 2872 KB Time limit exceeded
14 Halted 0 ms 0 KB -

Subtask #7
0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 208 KB Output is correct
2 Correct 0 ms 208 KB Output is correct
3 Correct 47 ms 7740 KB Output is correct
4 Correct 52 ms 8236 KB Output is correct
5 Correct 51 ms 8208 KB Output is correct
6 Correct 50 ms 8180 KB Output is correct
7 Correct 56 ms 8212 KB Output is correct
8 Correct 51 ms 8212 KB Output is correct
9 Correct 0 ms 208 KB Output is correct
10 Correct 1 ms 208 KB Output is correct
11 Correct 1 ms 208 KB Output is correct
12 Correct 1 ms 208 KB Output is correct
13 Correct 1 ms 208 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 3 ms 336 KB Output is correct
16 Correct 2 ms 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 2 ms 564 KB Output is correct
19 Correct 3 ms 464 KB Output is correct
20 Correct 1 ms 336 KB Output is correct
21 Correct 1 ms 336 KB Output is correct
22 Correct 1 ms 336 KB Output is correct
23 Correct 1 ms 208 KB Output is correct
24 Correct 2 ms 336 KB Output is correct
25 Correct 2 ms 336 KB Output is correct
26 Correct 2 ms 336 KB Output is correct
27 Correct 2 ms 336 KB Output is correct
28 Correct 2 ms 336 KB Output is correct
29 Correct 53 ms 8224 KB Output is correct
30 Correct 56 ms 8224 KB Output is correct
31 Correct 1 ms 464 KB Output is correct
32 Correct 1 ms 336 KB Output is correct
33 Correct 1 ms 208 KB Output is correct
34 Correct 1 ms 208 KB Output is correct
35 Correct 10 ms 720 KB Output is correct
36 Correct 1 ms 464 KB Output is correct
37 Correct 53 ms 8496 KB Output is correct
38 Correct 51 ms 8460 KB Output is correct
39 Correct 1 ms 336 KB Output is correct
40 Correct 2 ms 208 KB Output is correct
41 Correct 1 ms 208 KB Output is correct
42 Correct 2 ms 368 KB Output is correct
43 Execution timed out 3075 ms 464 KB Time limit exceeded
44 Halted 0 ms 0 KB -

Subtask #8
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 208 KB Output is correct
2 Correct 0 ms 208 KB Output is correct
3 Correct 47 ms 7740 KB Output is correct
4 Correct 52 ms 8236 KB Output is correct
5 Correct 51 ms 8208 KB Output is correct
6 Correct 50 ms 8180 KB Output is correct
7 Correct 56 ms 8212 KB Output is correct
8 Correct 51 ms 8212 KB Output is correct
9 Correct 0 ms 208 KB Output is correct
10 Correct 1 ms 208 KB Output is correct
11 Correct 1 ms 208 KB Output is correct
12 Correct 1 ms 208 KB Output is correct
13 Correct 1 ms 208 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 3 ms 336 KB Output is correct
16 Correct 2 ms 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 2 ms 564 KB Output is correct
19 Correct 3 ms 464 KB Output is correct
20 Correct 1 ms 336 KB Output is correct
21 Correct 1 ms 336 KB Output is correct
22 Correct 1 ms 336 KB Output is correct
23 Correct 1 ms 208 KB Output is correct
24 Correct 2 ms 336 KB Output is correct
25 Correct 2 ms 336 KB Output is correct
26 Correct 2 ms 336 KB Output is correct
27 Correct 2 ms 336 KB Output is correct
28 Correct 2 ms 336 KB Output is correct
29 Correct 53 ms 8224 KB Output is correct
30 Correct 56 ms 8224 KB Output is correct
31 Correct 1 ms 464 KB Output is correct
32 Correct 1 ms 336 KB Output is correct
33 Correct 1 ms 208 KB Output is correct
34 Correct 1 ms 208 KB Output is correct
35 Correct 10 ms 720 KB Output is correct
36 Correct 1 ms 464 KB Output is correct
37 Correct 53 ms 8496 KB Output is correct
38 Correct 51 ms 8460 KB Output is correct
39 Correct 1 ms 336 KB Output is correct
40 Correct 2 ms 208 KB Output is correct
41 Correct 1 ms 208 KB Output is correct
42 Correct 2 ms 368 KB Output is correct
43 Execution timed out 3005 ms 2872 KB Time limit exceeded
44 Halted 0 ms 0 KB -