oj.uz

Submission #630141

# Submission time Handle Problem Language Result Execution time Memory
630141 2022-08-15T18:01:32 Z flashmt Digital Circuit (IOI22_circuit) C++17
100 / 100
 1158 ms 34328 KB 
#include <bits/stdc++.h>
#include "circuit.h"
using namespace std;
const int BASE = 1e9 + 2022;
const int N = 200200;
 
struct SegmentTree
{
  int low, mid, high;
  long long value, sum;
  int flip;
  SegmentTree *l, *r;
 
  SegmentTree(int low, int high, vector<long long> &coef, vector<int> &state): low(low), high(high)
  {
    mid = (low + high) / 2;
    value = sum = flip = 0;
    if (low == high)
    {
      l = r = NULL;
      sum = coef[low];
      value = state[low] * sum;
    }
    else
    {
      l = new SegmentTree(low, mid, coef, state);
      r = new SegmentTree(mid + 1, high, coef, state);
      sum = l->sum + r->sum;
      value = l->value + r->value;
    }
  }
 
  void update(int x, int y)
  {
    if (low == x && high == y)
    {
      value = sum - value;
      flip ^= 1;
      return;
    }
    if (x <= mid)
      l->update(x, min(y, mid));
    if (mid < y)
      r->update(max(x, mid + 1), y);
    value = l->value + r->value;
    if (flip)
      value = sum - value;
  }
};
 
int n;
vector<int> a[N];
vector<long long> coef, ways;
SegmentTree *tree;
 
void dfsWay(int x)
{
  if (empty(a[x]))
    return;
  for (int y : a[x])
  {
    dfsWay(y);
    ways[x] *= ways[y];
    ways[x] %= BASE;
  }
  ways[x] *= size(a[x]);
  ways[x] %= BASE;
}
 
void dfsCoef(int x)
{
  vector<long long> prefix(size(a[x]));
  for (int i = 0; i < size(a[x]); i++)
  {
    prefix[i] = ways[a[x][i]];
    if (i)
      prefix[i] = prefix[i] * prefix[i - 1] % BASE;
  }
 
  long long suffix = 1;
  for (int i = int(size(a[x])) - 1; i >= 0; i--)
  {
    int y = a[x][i];
    coef[y] = suffix;
    if (i)
      coef[y] = coef[y] * prefix[i - 1] % BASE;
    suffix *= ways[y];
    suffix %= BASE;
  }
 
  for (int y : a[x])
  {
    coef[y] = coef[y] * coef[x] % BASE;
    dfsCoef(y);
  }
}
 
void init(int N, int m, vector<int> P, vector<int> A)
{
  n = N;
  for (int i = 1; i < n + m; i++)
    a[P[i]].push_back(i);
  ways.assign(n + m, 1);
  dfsWay(0);
  coef.assign(n + m, 1);
  dfsCoef(0);
  for (int i = 0; i < m; i++)
    coef[i] = coef[i + n];
  coef.resize(m);
  tree = new SegmentTree(0, m - 1, coef, A);
}
 
int count_ways(int L, int R)
{
  tree->update(L - n, R - n);
  return int(tree->value % BASE);
}

Compilation message

circuit.cpp: In function 'void dfsCoef(int)':
circuit.cpp:73:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   73 |   for (int i = 0; i < size(a[x]); i++)
      |                   ~~^~~~~~~~~~~~

Subtask #1
2.0 / 2.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4944 KB Output is correct
2 Correct 3 ms 4944 KB Output is correct
3 Correct 3 ms 5072 KB Output is correct
4 Correct 3 ms 5072 KB Output is correct
5 Correct 3 ms 5072 KB Output is correct
6 Correct 3 ms 5072 KB Output is correct
7 Correct 3 ms 5072 KB Output is correct
8 Correct 3 ms 5072 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4944 KB Output is correct
2 Correct 3 ms 4944 KB Output is correct
3 Correct 5 ms 5072 KB Output is correct
4 Correct 2 ms 5072 KB Output is correct
5 Correct 3 ms 5072 KB Output is correct
6 Correct 4 ms 5072 KB Output is correct
7 Correct 3 ms 5200 KB Output is correct
8 Correct 3 ms 5200 KB Output is correct
9 Correct 3 ms 5200 KB Output is correct
10 Correct 3 ms 5200 KB Output is correct
11 Correct 3 ms 5200 KB Output is correct
12 Correct 3 ms 5072 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4944 KB Output is correct
2 Correct 3 ms 4944 KB Output is correct
3 Correct 3 ms 5072 KB Output is correct
4 Correct 3 ms 5072 KB Output is correct
5 Correct 3 ms 5072 KB Output is correct
6 Correct 3 ms 5072 KB Output is correct
7 Correct 3 ms 5072 KB Output is correct
8 Correct 3 ms 5072 KB Output is correct
9 Correct 2 ms 4944 KB Output is correct
10 Correct 3 ms 4944 KB Output is correct
11 Correct 5 ms 5072 KB Output is correct
12 Correct 2 ms 5072 KB Output is correct
13 Correct 3 ms 5072 KB Output is correct
14 Correct 4 ms 5072 KB Output is correct
15 Correct 3 ms 5200 KB Output is correct
16 Correct 3 ms 5200 KB Output is correct
17 Correct 3 ms 5200 KB Output is correct
18 Correct 3 ms 5200 KB Output is correct
19 Correct 3 ms 5200 KB Output is correct
20 Correct 3 ms 5072 KB Output is correct
21 Correct 3 ms 5072 KB Output is correct
22 Correct 3 ms 5072 KB Output is correct
23 Correct 3 ms 5072 KB Output is correct
24 Correct 3 ms 5200 KB Output is correct
25 Correct 4 ms 5200 KB Output is correct
26 Correct 4 ms 5200 KB Output is correct
27 Correct 4 ms 5200 KB Output is correct
28 Correct 4 ms 5112 KB Output is correct
29 Correct 5 ms 5072 KB Output is correct
30 Correct 4 ms 5072 KB Output is correct
31 Correct 3 ms 5072 KB Output is correct
32 Correct 3 ms 5200 KB Output is correct
33 Correct 3 ms 5072 KB Output is correct
34 Correct 4 ms 5072 KB Output is correct
35 Correct 3 ms 5072 KB Output is correct
36 Correct 3 ms 5200 KB Output is correct
37 Correct 3 ms 5200 KB Output is correct
38 Correct 3 ms 5200 KB Output is correct
39 Correct 3 ms 5072 KB Output is correct
40 Correct 3 ms 5072 KB Output is correct
41 Correct 3 ms 5072 KB Output is correct
42 Correct 3 ms 5072 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 639 ms 11936 KB Output is correct
2 Correct 837 ms 18760 KB Output is correct
3 Correct 863 ms 18812 KB Output is correct
4 Correct 665 ms 18760 KB Output is correct

Subtask #5
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 639 ms 11936 KB Output is correct
2 Correct 837 ms 18760 KB Output is correct
3 Correct 863 ms 18812 KB Output is correct
4 Correct 665 ms 18760 KB Output is correct
5 Correct 747 ms 11832 KB Output is correct
6 Correct 952 ms 18856 KB Output is correct
7 Correct 1010 ms 18776 KB Output is correct
8 Correct 977 ms 18812 KB Output is correct
9 Correct 475 ms 5328 KB Output is correct
10 Correct 743 ms 5840 KB Output is correct
11 Correct 847 ms 5840 KB Output is correct
12 Correct 688 ms 5840 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4944 KB Output is correct
2 Correct 3 ms 4944 KB Output is correct
3 Correct 5 ms 5072 KB Output is correct
4 Correct 2 ms 5072 KB Output is correct
5 Correct 3 ms 5072 KB Output is correct
6 Correct 4 ms 5072 KB Output is correct
7 Correct 3 ms 5200 KB Output is correct
8 Correct 3 ms 5200 KB Output is correct
9 Correct 3 ms 5200 KB Output is correct
10 Correct 3 ms 5200 KB Output is correct
11 Correct 3 ms 5200 KB Output is correct
12 Correct 3 ms 5072 KB Output is correct
13 Correct 639 ms 11936 KB Output is correct
14 Correct 837 ms 18760 KB Output is correct
15 Correct 863 ms 18812 KB Output is correct
16 Correct 665 ms 18760 KB Output is correct
17 Correct 747 ms 11832 KB Output is correct
18 Correct 952 ms 18856 KB Output is correct
19 Correct 1010 ms 18776 KB Output is correct
20 Correct 977 ms 18812 KB Output is correct
21 Correct 475 ms 5328 KB Output is correct
22 Correct 743 ms 5840 KB Output is correct
23 Correct 847 ms 5840 KB Output is correct
24 Correct 688 ms 5840 KB Output is correct
25 Correct 888 ms 25744 KB Output is correct
26 Correct 1158 ms 26120 KB Output is correct
27 Correct 984 ms 26108 KB Output is correct
28 Correct 632 ms 26104 KB Output is correct
29 Correct 874 ms 33900 KB Output is correct
30 Correct 864 ms 33916 KB Output is correct

Subtask #7
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4944 KB Output is correct
2 Correct 3 ms 4944 KB Output is correct
3 Correct 3 ms 5072 KB Output is correct
4 Correct 3 ms 5072 KB Output is correct
5 Correct 3 ms 5072 KB Output is correct
6 Correct 3 ms 5072 KB Output is correct
7 Correct 3 ms 5072 KB Output is correct
8 Correct 3 ms 5072 KB Output is correct
9 Correct 2 ms 4944 KB Output is correct
10 Correct 3 ms 4944 KB Output is correct
11 Correct 5 ms 5072 KB Output is correct
12 Correct 2 ms 5072 KB Output is correct
13 Correct 3 ms 5072 KB Output is correct
14 Correct 4 ms 5072 KB Output is correct
15 Correct 3 ms 5200 KB Output is correct
16 Correct 3 ms 5200 KB Output is correct
17 Correct 3 ms 5200 KB Output is correct
18 Correct 3 ms 5200 KB Output is correct
19 Correct 3 ms 5200 KB Output is correct
20 Correct 3 ms 5072 KB Output is correct
21 Correct 3 ms 5072 KB Output is correct
22 Correct 3 ms 5072 KB Output is correct
23 Correct 3 ms 5072 KB Output is correct
24 Correct 3 ms 5200 KB Output is correct
25 Correct 4 ms 5200 KB Output is correct
26 Correct 4 ms 5200 KB Output is correct
27 Correct 4 ms 5200 KB Output is correct
28 Correct 4 ms 5112 KB Output is correct
29 Correct 5 ms 5072 KB Output is correct
30 Correct 4 ms 5072 KB Output is correct
31 Correct 3 ms 5072 KB Output is correct
32 Correct 3 ms 5200 KB Output is correct
33 Correct 3 ms 5072 KB Output is correct
34 Correct 4 ms 5072 KB Output is correct
35 Correct 3 ms 5072 KB Output is correct
36 Correct 3 ms 5200 KB Output is correct
37 Correct 3 ms 5200 KB Output is correct
38 Correct 3 ms 5200 KB Output is correct
39 Correct 3 ms 5072 KB Output is correct
40 Correct 3 ms 5072 KB Output is correct
41 Correct 3 ms 5072 KB Output is correct
42 Correct 3 ms 5072 KB Output is correct
43 Correct 529 ms 5584 KB Output is correct
44 Correct 799 ms 5584 KB Output is correct
45 Correct 834 ms 5584 KB Output is correct
46 Correct 498 ms 5968 KB Output is correct
47 Correct 609 ms 6048 KB Output is correct
48 Correct 835 ms 5968 KB Output is correct
49 Correct 929 ms 5968 KB Output is correct
50 Correct 952 ms 5968 KB Output is correct
51 Correct 757 ms 5712 KB Output is correct
52 Correct 941 ms 5712 KB Output is correct
53 Correct 800 ms 5712 KB Output is correct
54 Correct 815 ms 5968 KB Output is correct
55 Correct 698 ms 5840 KB Output is correct
56 Correct 892 ms 5840 KB Output is correct
57 Correct 924 ms 5712 KB Output is correct
58 Correct 789 ms 6388 KB Output is correct
59 Correct 841 ms 6352 KB Output is correct
60 Correct 825 ms 6352 KB Output is correct
61 Correct 801 ms 5584 KB Output is correct
62 Correct 938 ms 5584 KB Output is correct
63 Correct 718 ms 5584 KB Output is correct
64 Correct 721 ms 5712 KB Output is correct
65 Correct 411 ms 5412 KB Output is correct
66 Correct 790 ms 5840 KB Output is correct
67 Correct 807 ms 5840 KB Output is correct
68 Correct 957 ms 5840 KB Output is correct

Subtask #8
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4944 KB Output is correct
2 Correct 3 ms 4944 KB Output is correct
3 Correct 3 ms 5072 KB Output is correct
4 Correct 3 ms 5072 KB Output is correct
5 Correct 3 ms 5072 KB Output is correct
6 Correct 3 ms 5072 KB Output is correct
7 Correct 3 ms 5072 KB Output is correct
8 Correct 3 ms 5072 KB Output is correct
9 Correct 2 ms 4944 KB Output is correct
10 Correct 3 ms 4944 KB Output is correct
11 Correct 5 ms 5072 KB Output is correct
12 Correct 2 ms 5072 KB Output is correct
13 Correct 3 ms 5072 KB Output is correct
14 Correct 4 ms 5072 KB Output is correct
15 Correct 3 ms 5200 KB Output is correct
16 Correct 3 ms 5200 KB Output is correct
17 Correct 3 ms 5200 KB Output is correct
18 Correct 3 ms 5200 KB Output is correct
19 Correct 3 ms 5200 KB Output is correct
20 Correct 3 ms 5072 KB Output is correct
21 Correct 3 ms 5072 KB Output is correct
22 Correct 3 ms 5072 KB Output is correct
23 Correct 3 ms 5072 KB Output is correct
24 Correct 3 ms 5200 KB Output is correct
25 Correct 4 ms 5200 KB Output is correct
26 Correct 4 ms 5200 KB Output is correct
27 Correct 4 ms 5200 KB Output is correct
28 Correct 4 ms 5112 KB Output is correct
29 Correct 5 ms 5072 KB Output is correct
30 Correct 4 ms 5072 KB Output is correct
31 Correct 3 ms 5072 KB Output is correct
32 Correct 3 ms 5200 KB Output is correct
33 Correct 3 ms 5072 KB Output is correct
34 Correct 4 ms 5072 KB Output is correct
35 Correct 3 ms 5072 KB Output is correct
36 Correct 3 ms 5200 KB Output is correct
37 Correct 3 ms 5200 KB Output is correct
38 Correct 3 ms 5200 KB Output is correct
39 Correct 3 ms 5072 KB Output is correct
40 Correct 3 ms 5072 KB Output is correct
41 Correct 3 ms 5072 KB Output is correct
42 Correct 3 ms 5072 KB Output is correct
43 Correct 639 ms 11936 KB Output is correct
44 Correct 837 ms 18760 KB Output is correct
45 Correct 863 ms 18812 KB Output is correct
46 Correct 665 ms 18760 KB Output is correct
47 Correct 747 ms 11832 KB Output is correct
48 Correct 952 ms 18856 KB Output is correct
49 Correct 1010 ms 18776 KB Output is correct
50 Correct 977 ms 18812 KB Output is correct
51 Correct 475 ms 5328 KB Output is correct
52 Correct 743 ms 5840 KB Output is correct
53 Correct 847 ms 5840 KB Output is correct
54 Correct 688 ms 5840 KB Output is correct
55 Correct 888 ms 25744 KB Output is correct
56 Correct 1158 ms 26120 KB Output is correct
57 Correct 984 ms 26108 KB Output is correct
58 Correct 632 ms 26104 KB Output is correct
59 Correct 874 ms 33900 KB Output is correct
60 Correct 864 ms 33916 KB Output is correct
61 Correct 529 ms 5584 KB Output is correct
62 Correct 799 ms 5584 KB Output is correct
63 Correct 834 ms 5584 KB Output is correct
64 Correct 498 ms 5968 KB Output is correct
65 Correct 609 ms 6048 KB Output is correct
66 Correct 835 ms 5968 KB Output is correct
67 Correct 929 ms 5968 KB Output is correct
68 Correct 952 ms 5968 KB Output is correct
69 Correct 757 ms 5712 KB Output is correct
70 Correct 941 ms 5712 KB Output is correct
71 Correct 800 ms 5712 KB Output is correct
72 Correct 815 ms 5968 KB Output is correct
73 Correct 698 ms 5840 KB Output is correct
74 Correct 892 ms 5840 KB Output is correct
75 Correct 924 ms 5712 KB Output is correct
76 Correct 789 ms 6388 KB Output is correct
77 Correct 841 ms 6352 KB Output is correct
78 Correct 825 ms 6352 KB Output is correct
79 Correct 801 ms 5584 KB Output is correct
80 Correct 938 ms 5584 KB Output is correct
81 Correct 718 ms 5584 KB Output is correct
82 Correct 721 ms 5712 KB Output is correct
83 Correct 411 ms 5412 KB Output is correct
84 Correct 790 ms 5840 KB Output is correct
85 Correct 807 ms 5840 KB Output is correct
86 Correct 957 ms 5840 KB Output is correct
87 Correct 3 ms 4944 KB Output is correct
88 Correct 442 ms 23068 KB Output is correct
89 Correct 1061 ms 16856 KB Output is correct
90 Correct 1012 ms 17608 KB Output is correct
91 Correct 920 ms 26136 KB Output is correct
92 Correct 1022 ms 26144 KB Output is correct
93 Correct 1136 ms 26236 KB Output is correct
94 Correct 1014 ms 26132 KB Output is correct
95 Correct 988 ms 26236 KB Output is correct
96 Correct 845 ms 20976 KB Output is correct
97 Correct 997 ms 20960 KB Output is correct
98 Correct 923 ms 21400 KB Output is correct
99 Correct 991 ms 26136 KB Output is correct
100 Correct 892 ms 23368 KB Output is correct
101 Correct 1031 ms 22468 KB Output is correct
102 Correct 1073 ms 21112 KB Output is correct
103 Correct 990 ms 33896 KB Output is correct
104 Correct 928 ms 34232 KB Output is correct
105 Correct 686 ms 34328 KB Output is correct
106 Correct 891 ms 17352 KB Output is correct
107 Correct 1024 ms 17568 KB Output is correct
108 Correct 929 ms 18812 KB Output is correct
109 Correct 952 ms 21132 KB Output is correct