oj.uz

Submission #634696

# Submission time Handle Problem Language Result Execution time Memory
634696 2022-08-24T17:25:02 Z hltk Digital Circuit (IOI22_circuit) C++17
46 / 100
 3000 ms 4284 KB 
#include "circuit.h"

#include <iostream>
#include <numeric>
#include <algorithm>
#include <vector>

using namespace std;

// If only one the inputs is turned on, vastaus on tulo kaikista / (tulo polulla olevista)
// If all of the inputs are turned on, vastaus on tulo kaikista.
// If two of the inputs are turned on, vastaus on 2 * tulo kaikista / (tulo poluilla (juureen) olevista)
// If three inputs are turned on, vastaus on 2 * tulo kaikista / (tulo poluilla (juureen) olevista)

// |
// |  all / 1-path
// |
// 1
//

//       |
//       |
//       |
//       x
//      / \
//     /   \       all / 1-path + all / 2-path - all / union + all / union = all / 1-path + all / 2-path
//    /     \      |---------------------------------------|   |----------|
//   1       2                       c_x = 1                      c_x = 2
//
//
//       |
//       |
//       |         all / 1-path + all / 2-path + all / 3-path - all / 12-path - all / 13-path - all / 13-path + all / 123-path
//       x         |-------------------------------------------------------------------------------------------------------------|
//      / \                                                        c_x = 1
//     / | \       all / 12-path + all / 13-path + all / 23-path - all / 123-path * 2
//    /  |  \      |----------------------------------------------------------------|
//   1   2   3                                     c_x = 2
//                 all / 123-path
//                 |------------|
//                    c_x = 3

const int M = 1'000'002'022;
using i64 = long long;

vector<vector<int>> children;
vector<int> a;
vector<int> dp;

int add(int a, int b) {
  a += b;
  if (a >= M) a -= M;
  return a;
}

int mul(int a, int b) {
  return i64(a) * b % M;
}

int prod_dfs(int u) {
  int prod = children[u].empty() ? 1 : children[u].size();
  for (int v : children[u]) {
    prod = mul(prod, prod_dfs(v));
  }
  dp[u] = prod;
  return prod;
}

vector<int> oth_value;

void dfs(int u, int oth) {
  oth_value[u] = oth;
  vector<int> values{1};
  for (int v : children[u]) {
    values.push_back(dp[v]);
  }
  values.push_back(1);
  reverse(values.begin(), values.end());
  vector<int> rvalues = values;
  partial_sum(values.begin(), values.end(), values.begin(), mul);
  partial_sum(rvalues.rbegin(), rvalues.rend(), rvalues.rbegin(), mul);
  values.pop_back();
  for (int v : children[u]) {
    values.pop_back();
    int value = mul(oth, mul(values.back(), rvalues.back()));
    dfs(v, value);
    rvalues.pop_back();
  }
}

int n;

void init(int n, int m, vector<int> p, vector<int> a) {
  children.resize(n + m);
  for (int i = 1; i < n + m; ++i) {
    children[p[i]].push_back(i);
  }
  dp.assign(n + m, 0);
  oth_value.assign(n + m, 0);
  prod_dfs(0);
  dfs(0, 1);
  oth_value = vector<int>(oth_value.begin() + n, oth_value.end());
  ::n = n;
  ::a = a;
}

int count_ways(int l, int r) {
  l -= n;
  r -= n;
  for (int i = l; i <= r; ++i) {
    a[i] ^= 1;
  }
  int ans = 0;
  for (int i = 0; i < (int) a.size(); ++i) {
    if (a[i]) {
      ans = add(ans, oth_value[i]);
    }
  }
  return ans;
}

Compilation message

circuit.cpp:25:1: warning: multi-line comment [-Wcomment]
   25 | //      / \
      | ^

Subtask #1
2.0 / 2.0

# 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 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 360 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 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 2 ms 592 KB Output is correct
11 Correct 1 ms 592 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 1 ms 208 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 360 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 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 2 ms 592 KB Output is correct
19 Correct 1 ms 592 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 336 KB Output is correct
24 Correct 1 ms 336 KB Output is correct
25 Correct 1 ms 336 KB Output is correct
26 Correct 1 ms 336 KB Output is correct
27 Correct 1 ms 336 KB Output is correct
28 Correct 1 ms 336 KB Output is correct
29 Correct 1 ms 336 KB Output is correct
30 Correct 1 ms 336 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 336 KB Output is correct
34 Correct 1 ms 336 KB Output is correct
35 Correct 1 ms 336 KB Output is correct
36 Correct 1 ms 592 KB Output is correct
37 Correct 1 ms 592 KB Output is correct
38 Correct 1 ms 592 KB Output is correct
39 Correct 1 ms 336 KB Output is correct
40 Correct 1 ms 336 KB Output is correct
41 Correct 2 ms 336 KB Output is correct
42 Correct 1 ms 336 KB Output is correct

Subtask #4
0 / 4.0

# Verdict Execution time Memory Grader output
1 Execution timed out 3079 ms 4284 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 3079 ms 4284 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 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 2 ms 592 KB Output is correct
11 Correct 1 ms 592 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Execution timed out 3079 ms 4284 KB Time limit exceeded
14 Halted 0 ms 0 KB -

Subtask #7
28.0 / 28.0

# 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 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 360 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 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 2 ms 592 KB Output is correct
19 Correct 1 ms 592 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 336 KB Output is correct
24 Correct 1 ms 336 KB Output is correct
25 Correct 1 ms 336 KB Output is correct
26 Correct 1 ms 336 KB Output is correct
27 Correct 1 ms 336 KB Output is correct
28 Correct 1 ms 336 KB Output is correct
29 Correct 1 ms 336 KB Output is correct
30 Correct 1 ms 336 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 336 KB Output is correct
34 Correct 1 ms 336 KB Output is correct
35 Correct 1 ms 336 KB Output is correct
36 Correct 1 ms 592 KB Output is correct
37 Correct 1 ms 592 KB Output is correct
38 Correct 1 ms 592 KB Output is correct
39 Correct 1 ms 336 KB Output is correct
40 Correct 1 ms 336 KB Output is correct
41 Correct 2 ms 336 KB Output is correct
42 Correct 1 ms 336 KB Output is correct
43 Correct 1268 ms 592 KB Output is correct
44 Correct 1709 ms 720 KB Output is correct
45 Correct 1789 ms 592 KB Output is correct
46 Correct 2118 ms 848 KB Output is correct
47 Correct 2619 ms 848 KB Output is correct
48 Correct 2615 ms 848 KB Output is correct
49 Correct 2617 ms 848 KB Output is correct
50 Correct 1450 ms 848 KB Output is correct
51 Correct 2633 ms 596 KB Output is correct
52 Correct 2584 ms 596 KB Output is correct
53 Correct 800 ms 1616 KB Output is correct
54 Correct 2702 ms 888 KB Output is correct
55 Correct 2769 ms 720 KB Output is correct
56 Correct 2560 ms 668 KB Output is correct
57 Correct 2584 ms 464 KB Output is correct
58 Correct 2674 ms 1872 KB Output is correct
59 Correct 2724 ms 1872 KB Output is correct
60 Correct 2935 ms 1872 KB Output is correct
61 Correct 1530 ms 848 KB Output is correct
62 Correct 2078 ms 592 KB Output is correct
63 Correct 1855 ms 464 KB Output is correct
64 Correct 2617 ms 592 KB Output is correct
65 Correct 793 ms 464 KB Output is correct
66 Correct 2132 ms 720 KB Output is correct
67 Correct 2172 ms 720 KB Output is correct
68 Correct 2337 ms 720 KB Output is correct

Subtask #8
0 / 11.0

# 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 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 360 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 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 2 ms 592 KB Output is correct
19 Correct 1 ms 592 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 336 KB Output is correct
24 Correct 1 ms 336 KB Output is correct
25 Correct 1 ms 336 KB Output is correct
26 Correct 1 ms 336 KB Output is correct
27 Correct 1 ms 336 KB Output is correct
28 Correct 1 ms 336 KB Output is correct
29 Correct 1 ms 336 KB Output is correct
30 Correct 1 ms 336 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 336 KB Output is correct
34 Correct 1 ms 336 KB Output is correct
35 Correct 1 ms 336 KB Output is correct
36 Correct 1 ms 592 KB Output is correct
37 Correct 1 ms 592 KB Output is correct
38 Correct 1 ms 592 KB Output is correct
39 Correct 1 ms 336 KB Output is correct
40 Correct 1 ms 336 KB Output is correct
41 Correct 2 ms 336 KB Output is correct
42 Correct 1 ms 336 KB Output is correct
43 Execution timed out 3079 ms 4284 KB Time limit exceeded
44 Halted 0 ms 0 KB -