Submission #790523

# Submission time Handle Problem Language Result Execution time Memory
790523 2023-07-22T19:24:47 Z borisAngelov Digital Circuit (IOI22_circuit) C++17
89 / 100
3000 ms 32368 KB
#include "circuit.h"

#include <bits/stdc++.h>

using namespace std;

const int maxn = 200005;
const long long mod = 1e9 + 2022;

int n, m;

vector<int> g[maxn];

long long contribution[maxn];
long long subtree[maxn];

void dfs(int node, int dep)
{
    if (g[node].empty())
    {
        subtree[node] = 1;
        return;
    }

    subtree[node] = 1LL * (g[node].size());

    for (int i = 0; i < g[node].size(); ++i)
    {
        dfs(g[node][i], dep + 1);
        subtree[node] *= subtree[g[node][i]];
        subtree[node] %= mod;
    }
}

void dfs2(int node, long long from_parent)
{
    if (g[node].empty())
    {
        contribution[node] = from_parent;
        return;;
    }

    for (int i = 0; i < g[node].size(); ++i)
    {
        long long product = 1;

        for (int j = 0; j < g[node].size(); ++j)
        {
            if (i != j)
            {
                product *= subtree[g[node][j]];
                product %= mod;
            }
        }

        dfs2(g[node][i], (from_parent * product) % mod);
    }
}

long long preffix[maxn];

long long get_sum(int l, int r)
{
    if (l == 0)
    {
        return preffix[r];
    }

    return (preffix[r] - preffix[l - 1] + mod) % mod;
}

struct segment_tree
{
    struct vertex
    {
        long long sum;
        bool lazy;

        vertex()
        {
            sum = 0;
            lazy = false;
        }

        vertex(long long _sum, bool _lazy)
        {
            sum = _sum;
            lazy = _lazy;
        }
    };

    vertex tree[4 * maxn];

    void push_lazy(int node, int l, int r)
    {
        if (tree[node].lazy == true)
        {
            tree[node].sum = (get_sum(l, r) - tree[node].sum + mod) % mod;

            if (l != r)
            {
                tree[2 * node].lazy = 1 - tree[2 * node].lazy;
                tree[2 * node + 1].lazy = 1 - tree[2 * node + 1].lazy;
            }

            tree[node].lazy = false;
        }
    }

    void update(int node, int l, int r, int ql, int qr)
    {
        push_lazy(node, l, r);

        if (l > qr || r < ql)
        {
            return;
        }

        if (ql <= l && r <= qr)
        {
            tree[node].lazy = true;
            push_lazy(node, l, r);
            return;
        }

        int mid = (l + r) / 2;

        update(2 * node, l, mid, ql, qr);
        update(2 * node + 1, mid + 1, r, ql, qr);

        tree[node].sum = (tree[2 * node].sum + tree[2 * node + 1].sum) % mod;
    }

    void update(int l, int r)
    {
        update(1, 0, m - 1, l, r);
    }
};

segment_tree tree;

void init(int N, int M, vector<int> P, vector<int> A)
{
    n = N;
    m = M;

    for (int i = 1; i < P.size(); ++i)
    {
        g[P[i]].push_back(i);
    }

    dfs(0, 0);
    dfs2(0, 1);

    for (int i = 0; i < m; ++i)
    {
        preffix[i] = contribution[i + n];

        if (i > 0)
        {
            preffix[i] += preffix[i - 1];
        }

        preffix[i] %= mod;
    }

    for (int i = 0; i < m; ++i)
    {
        if (A[i] == 1)
        {
            tree.update(i, i);
        }
    }
}

int count_ways(int L, int R)
{
    int l = L - n;
    int r = R - n;

    tree.update(l, r);

    return tree.tree[1].sum;
}

Compilation message

circuit.cpp: In function 'void dfs(int, int)':
circuit.cpp:27:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   27 |     for (int i = 0; i < g[node].size(); ++i)
      |                     ~~^~~~~~~~~~~~~~~~
circuit.cpp: In function 'void dfs2(int, long long int)':
circuit.cpp:43:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   43 |     for (int i = 0; i < g[node].size(); ++i)
      |                     ~~^~~~~~~~~~~~~~~~
circuit.cpp:47:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   47 |         for (int j = 0; j < g[node].size(); ++j)
      |                         ~~^~~~~~~~~~~~~~~~
circuit.cpp: In function 'void init(int, int, std::vector<int>, std::vector<int>)':
circuit.cpp:147:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  147 |     for (int i = 1; i < P.size(); ++i)
      |                     ~~^~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 8 ms 17488 KB Output is correct
2 Correct 8 ms 17488 KB Output is correct
3 Correct 12 ms 17576 KB Output is correct
4 Correct 13 ms 17460 KB Output is correct
5 Correct 13 ms 17488 KB Output is correct
6 Correct 14 ms 17488 KB Output is correct
7 Correct 13 ms 17596 KB Output is correct
8 Correct 12 ms 17488 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 17488 KB Output is correct
2 Correct 7 ms 17440 KB Output is correct
3 Correct 8 ms 17504 KB Output is correct
4 Correct 8 ms 17488 KB Output is correct
5 Correct 8 ms 17488 KB Output is correct
6 Correct 9 ms 17488 KB Output is correct
7 Correct 8 ms 17616 KB Output is correct
8 Correct 8 ms 17588 KB Output is correct
9 Correct 8 ms 17616 KB Output is correct
10 Correct 8 ms 17616 KB Output is correct
11 Correct 8 ms 17616 KB Output is correct
12 Correct 8 ms 17488 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 8 ms 17488 KB Output is correct
2 Correct 8 ms 17488 KB Output is correct
3 Correct 12 ms 17576 KB Output is correct
4 Correct 13 ms 17460 KB Output is correct
5 Correct 13 ms 17488 KB Output is correct
6 Correct 14 ms 17488 KB Output is correct
7 Correct 13 ms 17596 KB Output is correct
8 Correct 12 ms 17488 KB Output is correct
9 Correct 7 ms 17488 KB Output is correct
10 Correct 7 ms 17440 KB Output is correct
11 Correct 8 ms 17504 KB Output is correct
12 Correct 8 ms 17488 KB Output is correct
13 Correct 8 ms 17488 KB Output is correct
14 Correct 9 ms 17488 KB Output is correct
15 Correct 8 ms 17616 KB Output is correct
16 Correct 8 ms 17588 KB Output is correct
17 Correct 8 ms 17616 KB Output is correct
18 Correct 8 ms 17616 KB Output is correct
19 Correct 8 ms 17616 KB Output is correct
20 Correct 8 ms 17488 KB Output is correct
21 Correct 8 ms 17488 KB Output is correct
22 Correct 8 ms 17488 KB Output is correct
23 Correct 8 ms 17512 KB Output is correct
24 Correct 8 ms 17616 KB Output is correct
25 Correct 8 ms 17616 KB Output is correct
26 Correct 9 ms 17616 KB Output is correct
27 Correct 9 ms 17616 KB Output is correct
28 Correct 8 ms 17616 KB Output is correct
29 Correct 12 ms 17488 KB Output is correct
30 Correct 12 ms 17488 KB Output is correct
31 Correct 8 ms 17620 KB Output is correct
32 Correct 8 ms 17616 KB Output is correct
33 Correct 7 ms 17488 KB Output is correct
34 Correct 9 ms 17544 KB Output is correct
35 Correct 9 ms 17488 KB Output is correct
36 Correct 8 ms 17616 KB Output is correct
37 Correct 12 ms 17668 KB Output is correct
38 Correct 12 ms 17692 KB Output is correct
39 Correct 8 ms 17472 KB Output is correct
40 Correct 8 ms 17488 KB Output is correct
41 Correct 8 ms 17484 KB Output is correct
42 Correct 9 ms 17488 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 495 ms 20336 KB Output is correct
2 Correct 728 ms 23112 KB Output is correct
3 Correct 724 ms 23180 KB Output is correct
4 Correct 828 ms 23148 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 495 ms 20336 KB Output is correct
2 Correct 728 ms 23112 KB Output is correct
3 Correct 724 ms 23180 KB Output is correct
4 Correct 828 ms 23148 KB Output is correct
5 Correct 616 ms 20304 KB Output is correct
6 Correct 777 ms 23268 KB Output is correct
7 Correct 663 ms 23120 KB Output is correct
8 Correct 675 ms 23164 KB Output is correct
9 Correct 450 ms 17588 KB Output is correct
10 Correct 766 ms 17796 KB Output is correct
11 Correct 671 ms 17872 KB Output is correct
12 Correct 870 ms 17828 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 17488 KB Output is correct
2 Correct 7 ms 17440 KB Output is correct
3 Correct 8 ms 17504 KB Output is correct
4 Correct 8 ms 17488 KB Output is correct
5 Correct 8 ms 17488 KB Output is correct
6 Correct 9 ms 17488 KB Output is correct
7 Correct 8 ms 17616 KB Output is correct
8 Correct 8 ms 17588 KB Output is correct
9 Correct 8 ms 17616 KB Output is correct
10 Correct 8 ms 17616 KB Output is correct
11 Correct 8 ms 17616 KB Output is correct
12 Correct 8 ms 17488 KB Output is correct
13 Correct 495 ms 20336 KB Output is correct
14 Correct 728 ms 23112 KB Output is correct
15 Correct 724 ms 23180 KB Output is correct
16 Correct 828 ms 23148 KB Output is correct
17 Correct 616 ms 20304 KB Output is correct
18 Correct 777 ms 23268 KB Output is correct
19 Correct 663 ms 23120 KB Output is correct
20 Correct 675 ms 23164 KB Output is correct
21 Correct 450 ms 17588 KB Output is correct
22 Correct 766 ms 17796 KB Output is correct
23 Correct 671 ms 17872 KB Output is correct
24 Correct 870 ms 17828 KB Output is correct
25 Correct 819 ms 26056 KB Output is correct
26 Correct 679 ms 26212 KB Output is correct
27 Correct 1045 ms 26056 KB Output is correct
28 Correct 556 ms 26124 KB Output is correct
29 Correct 836 ms 32368 KB Output is correct
30 Correct 641 ms 32364 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 8 ms 17488 KB Output is correct
2 Correct 8 ms 17488 KB Output is correct
3 Correct 12 ms 17576 KB Output is correct
4 Correct 13 ms 17460 KB Output is correct
5 Correct 13 ms 17488 KB Output is correct
6 Correct 14 ms 17488 KB Output is correct
7 Correct 13 ms 17596 KB Output is correct
8 Correct 12 ms 17488 KB Output is correct
9 Correct 7 ms 17488 KB Output is correct
10 Correct 7 ms 17440 KB Output is correct
11 Correct 8 ms 17504 KB Output is correct
12 Correct 8 ms 17488 KB Output is correct
13 Correct 8 ms 17488 KB Output is correct
14 Correct 9 ms 17488 KB Output is correct
15 Correct 8 ms 17616 KB Output is correct
16 Correct 8 ms 17588 KB Output is correct
17 Correct 8 ms 17616 KB Output is correct
18 Correct 8 ms 17616 KB Output is correct
19 Correct 8 ms 17616 KB Output is correct
20 Correct 8 ms 17488 KB Output is correct
21 Correct 8 ms 17488 KB Output is correct
22 Correct 8 ms 17488 KB Output is correct
23 Correct 8 ms 17512 KB Output is correct
24 Correct 8 ms 17616 KB Output is correct
25 Correct 8 ms 17616 KB Output is correct
26 Correct 9 ms 17616 KB Output is correct
27 Correct 9 ms 17616 KB Output is correct
28 Correct 8 ms 17616 KB Output is correct
29 Correct 12 ms 17488 KB Output is correct
30 Correct 12 ms 17488 KB Output is correct
31 Correct 8 ms 17620 KB Output is correct
32 Correct 8 ms 17616 KB Output is correct
33 Correct 7 ms 17488 KB Output is correct
34 Correct 9 ms 17544 KB Output is correct
35 Correct 9 ms 17488 KB Output is correct
36 Correct 8 ms 17616 KB Output is correct
37 Correct 12 ms 17668 KB Output is correct
38 Correct 12 ms 17692 KB Output is correct
39 Correct 8 ms 17472 KB Output is correct
40 Correct 8 ms 17488 KB Output is correct
41 Correct 8 ms 17484 KB Output is correct
42 Correct 9 ms 17488 KB Output is correct
43 Correct 624 ms 17744 KB Output is correct
44 Correct 745 ms 17744 KB Output is correct
45 Correct 785 ms 17744 KB Output is correct
46 Correct 542 ms 17872 KB Output is correct
47 Correct 736 ms 17892 KB Output is correct
48 Correct 752 ms 17892 KB Output is correct
49 Correct 654 ms 17872 KB Output is correct
50 Correct 748 ms 17872 KB Output is correct
51 Correct 814 ms 17704 KB Output is correct
52 Correct 885 ms 17824 KB Output is correct
53 Correct 513 ms 18000 KB Output is correct
54 Correct 754 ms 17872 KB Output is correct
55 Correct 888 ms 17744 KB Output is correct
56 Correct 741 ms 17760 KB Output is correct
57 Correct 747 ms 17744 KB Output is correct
58 Correct 657 ms 18256 KB Output is correct
59 Correct 740 ms 18312 KB Output is correct
60 Correct 763 ms 18308 KB Output is correct
61 Correct 811 ms 17892 KB Output is correct
62 Correct 732 ms 17744 KB Output is correct
63 Correct 673 ms 17744 KB Output is correct
64 Correct 816 ms 17760 KB Output is correct
65 Correct 375 ms 17616 KB Output is correct
66 Correct 656 ms 17872 KB Output is correct
67 Correct 673 ms 17872 KB Output is correct
68 Correct 775 ms 17872 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 8 ms 17488 KB Output is correct
2 Correct 8 ms 17488 KB Output is correct
3 Correct 12 ms 17576 KB Output is correct
4 Correct 13 ms 17460 KB Output is correct
5 Correct 13 ms 17488 KB Output is correct
6 Correct 14 ms 17488 KB Output is correct
7 Correct 13 ms 17596 KB Output is correct
8 Correct 12 ms 17488 KB Output is correct
9 Correct 7 ms 17488 KB Output is correct
10 Correct 7 ms 17440 KB Output is correct
11 Correct 8 ms 17504 KB Output is correct
12 Correct 8 ms 17488 KB Output is correct
13 Correct 8 ms 17488 KB Output is correct
14 Correct 9 ms 17488 KB Output is correct
15 Correct 8 ms 17616 KB Output is correct
16 Correct 8 ms 17588 KB Output is correct
17 Correct 8 ms 17616 KB Output is correct
18 Correct 8 ms 17616 KB Output is correct
19 Correct 8 ms 17616 KB Output is correct
20 Correct 8 ms 17488 KB Output is correct
21 Correct 8 ms 17488 KB Output is correct
22 Correct 8 ms 17488 KB Output is correct
23 Correct 8 ms 17512 KB Output is correct
24 Correct 8 ms 17616 KB Output is correct
25 Correct 8 ms 17616 KB Output is correct
26 Correct 9 ms 17616 KB Output is correct
27 Correct 9 ms 17616 KB Output is correct
28 Correct 8 ms 17616 KB Output is correct
29 Correct 12 ms 17488 KB Output is correct
30 Correct 12 ms 17488 KB Output is correct
31 Correct 8 ms 17620 KB Output is correct
32 Correct 8 ms 17616 KB Output is correct
33 Correct 7 ms 17488 KB Output is correct
34 Correct 9 ms 17544 KB Output is correct
35 Correct 9 ms 17488 KB Output is correct
36 Correct 8 ms 17616 KB Output is correct
37 Correct 12 ms 17668 KB Output is correct
38 Correct 12 ms 17692 KB Output is correct
39 Correct 8 ms 17472 KB Output is correct
40 Correct 8 ms 17488 KB Output is correct
41 Correct 8 ms 17484 KB Output is correct
42 Correct 9 ms 17488 KB Output is correct
43 Correct 495 ms 20336 KB Output is correct
44 Correct 728 ms 23112 KB Output is correct
45 Correct 724 ms 23180 KB Output is correct
46 Correct 828 ms 23148 KB Output is correct
47 Correct 616 ms 20304 KB Output is correct
48 Correct 777 ms 23268 KB Output is correct
49 Correct 663 ms 23120 KB Output is correct
50 Correct 675 ms 23164 KB Output is correct
51 Correct 450 ms 17588 KB Output is correct
52 Correct 766 ms 17796 KB Output is correct
53 Correct 671 ms 17872 KB Output is correct
54 Correct 870 ms 17828 KB Output is correct
55 Correct 819 ms 26056 KB Output is correct
56 Correct 679 ms 26212 KB Output is correct
57 Correct 1045 ms 26056 KB Output is correct
58 Correct 556 ms 26124 KB Output is correct
59 Correct 836 ms 32368 KB Output is correct
60 Correct 641 ms 32364 KB Output is correct
61 Correct 624 ms 17744 KB Output is correct
62 Correct 745 ms 17744 KB Output is correct
63 Correct 785 ms 17744 KB Output is correct
64 Correct 542 ms 17872 KB Output is correct
65 Correct 736 ms 17892 KB Output is correct
66 Correct 752 ms 17892 KB Output is correct
67 Correct 654 ms 17872 KB Output is correct
68 Correct 748 ms 17872 KB Output is correct
69 Correct 814 ms 17704 KB Output is correct
70 Correct 885 ms 17824 KB Output is correct
71 Correct 513 ms 18000 KB Output is correct
72 Correct 754 ms 17872 KB Output is correct
73 Correct 888 ms 17744 KB Output is correct
74 Correct 741 ms 17760 KB Output is correct
75 Correct 747 ms 17744 KB Output is correct
76 Correct 657 ms 18256 KB Output is correct
77 Correct 740 ms 18312 KB Output is correct
78 Correct 763 ms 18308 KB Output is correct
79 Correct 811 ms 17892 KB Output is correct
80 Correct 732 ms 17744 KB Output is correct
81 Correct 673 ms 17744 KB Output is correct
82 Correct 816 ms 17760 KB Output is correct
83 Correct 375 ms 17616 KB Output is correct
84 Correct 656 ms 17872 KB Output is correct
85 Correct 673 ms 17872 KB Output is correct
86 Correct 775 ms 17872 KB Output is correct
87 Correct 8 ms 17488 KB Output is correct
88 Correct 506 ms 25192 KB Output is correct
89 Correct 871 ms 23020 KB Output is correct
90 Correct 699 ms 22840 KB Output is correct
91 Correct 697 ms 26232 KB Output is correct
92 Correct 912 ms 26220 KB Output is correct
93 Correct 667 ms 26220 KB Output is correct
94 Correct 859 ms 26180 KB Output is correct
95 Correct 752 ms 26240 KB Output is correct
96 Execution timed out 3039 ms 20568 KB Time limit exceeded
97 Halted 0 ms 0 KB -