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Submission #705586

# Submission time Handle Problem Language Result Execution time Memory
705586 2023-03-04T17:21:32 Z danikoynov Digital Circuit (IOI22_circuit) C++17
89 / 100
 3000 ms 47132 KB 
#include "circuit.h"

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;

const ll mod = 1000002022;
const int maxn = 2e5 + 10;

int n, m, p[maxn], a[maxn];
vector < int > children[maxn];
ll dp[maxn][2], temp[maxn];

void update_state(int v, bool type)
{
    dp[v][0] = dp[v][1] = 0;

    if (v >= n)
    {
        dp[v][1] = a[v - n];
        dp[v][0] = 1 - dp[v][1];
        return;
    }

    int c = children[v].size();
    for (int i = 0; i <= c; i ++)
        temp[i] = 0;


    temp[0] = 1;

    for (int u : children[v])
    {
        int i = c;
        if (type == false)
            i = 1;
        for (i; i >= 0; i --)
        {
            temp[i] = (temp[i] * dp[u][0]) % mod;
            if (i > 0)
                temp[i] = (temp[i] + temp[i - 1] * dp[u][1]) % mod;
        }
    }



    for (int i = 0; i <= c; i ++)
    {
        dp[v][0] = (dp[v][0] + temp[i] * (ll)(c - i)) % mod;
        dp[v][1] = (dp[v][1] + temp[i] * (ll)(i)) % mod;
    }
    ///cout << v << " " << dp[v][0] << " " << dp[v][1] << endl;

}


void solve_state(int v)
{


    for (int u : children[v])
    {
        solve_state(u);
    }

    update_state(v, true);



}
ll spec_val[maxn], depth[maxn];
void fix_state(int v)
{

    if (v >= n)
    {
        return;
    }

int c = children[v].size();
    vector < ll > exp;
    for (int u : children[v])
    {

        exp.push_back(dp[u][0]);
    }

    vector < ll > pref[2];
    pref[0].resize(c);
    pref[1].resize(c);
    pref[0][0] = exp[0];
    for (int i = 1; i < c; i ++)
    {
        pref[0][i] = (pref[0][i - 1] * exp[i]) % mod;
    }
    pref[1][c - 1] = exp[c - 1];
    for (int i = c - 2; i >= 0; i --)
    {
        pref[1][i] = (pref[1][i + 1] * exp[i]) % mod;
    }

    for (int i = 0; i < children[v].size(); i ++)
    {
        int u = children[v][i];
        ll cur = 1;
        if (i > 0)
            cur = (cur * pref[0][i - 1]) % mod;

        if (i + 1 < c)
        {

            cur = (cur * pref[1][i + 1]) % mod;
        }
        ///cout << v << " : " << i << " : " << u << " " << cur << endl;
        depth[u] = (depth[v] * cur) % mod;
    }

    for (int u : children[v])
        fix_state(u);



}

ll pw[maxn], pref[maxn];
ll con[maxn];
int act = 0, logM = 0;
int tree[4 * maxn], lazy[4 * maxn];

void build_tree(int root, int left, int right)
{
    if (left == right)
    {
        tree[root] = (con[left] * a[left]) % mod;
        return;
    }

    int mid = (left + right) / 2;
    build_tree(root * 2, left, mid);
    build_tree(root * 2 + 1, mid + 1, right);

    tree[root] = (tree[root * 2] + tree[root * 2 + 1]) % mod;
}

ll get_sum(int left, int right)
{
    ll sum = pref[right];
    if (left != 0)
        sum = sum - pref[left - 1];
    if (sum < 0)
        sum += mod;
    return sum;
}

void push_lazy(int root, int left, int right)
{
    if (lazy[root] == 0)
        return;

    tree[root] = (get_sum(left, right) - tree[root] + mod) % mod;
    if (left != right)
    {
        lazy[root * 2] = (lazy[root * 2] + 1) % 2;
        lazy[root * 2 + 1] = (lazy[root * 2 + 1] + 1) % 2;
    }
    lazy[root] = 0;
}

void update_range(int root, int left, int right, int qleft, int qright)
{

    push_lazy(root, left, right);
    if (left > qright || right < qleft)
        return;

    if (left >= qleft && right <= qright)
    {
        lazy[root] = 1;
        push_lazy(root, left, right);
        ///cout << left << " :: " << right << " :: " << tree[root] << endl;
        return;
    }

    int mid = (left + right) / 2;
    update_range(root * 2, left, mid, qleft, qright);
    update_range(root * 2 + 1, mid + 1, right, qleft,  qright);
    ///cout << root << " " << left << " " << right << " " << qleft << " " << qright << endl;
    tree[root] = (tree[root * 2] + tree[root * 2 + 1]) % mod;
    ///cout << tree[root] << endl;
}


ll power(ll base, ll st)
{
    ll ans = 1;
    while(st > 0)
    {
        if (st % 2 == 1)
            ans = (ans * base) % mod;
        base = (base * base) % mod;
        st /= 2;
    }
    return ans;
}
void init(int N, int M, std::vector<int> P, std::vector<int> A)
{

    n = N;
    m = M;
    for (int i = 0; i < N + M; i ++)
        p[i] = P[i];


    for (int i = 1; i < N + M; i ++)
    {
        children[p[i]].push_back(i);
    }



    depth[0] = 1;
    solve_state(0);
    fix_state(0);
    for (int i = 0; i < M; i ++)
        con[i] = depth[i + n];

    /**for (int i = 0; i < M; i ++)
    {
        a[i] = 1;
        int v = i + n;
        while(v != -1)
        {
            update_state(v, false);
            v = p[v];
        }
        ///solve_state(0);
        con[i] = dp[0][1];
        a[i] = 0;
                 v = i + n;
        while(v != -1)
        {
            update_state(v, false);
            v = p[v];
        }
    }*/
    pref[0] = con[0];
    for (int i = 1; i < M; i ++)
        pref[i] = (pref[i - 1] + con[i]) % mod;
    for (int i = 0; i < M; i ++)
        a[i] = A[i];


    build_tree(1, 0, m - 1);

}


int count_ways(int L, int R)
{
    update_range(1, 0, m - 1, L - n, R - n);
    ///for (int i = L - n; i <= R - n; i ++)
       /// a[i] = ((a[i] + 1) & 1);

    /**ll ans = 0;
    for (int i = 0; i < m; i ++)
    {

        ans = (ans + (con[i] * a[i])) % mod;
    }*/


    /**cout << "-----------" << endl;
    for (int i = 0; i < n + m; i ++)
        cout << i << " : " << dp[i][0] << " " << dp[i][1] << endl;*/

    return tree[1];
}

Compilation message

circuit.cpp: In function 'void update_state(int, bool)':
circuit.cpp:37:14: warning: statement has no effect [-Wunused-value]
   37 |         for (i; i >= 0; i --)
      |              ^
circuit.cpp: In function 'void fix_state(int)':
circuit.cpp:102:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  102 |     for (int i = 0; i < children[v].size(); i ++)
      |                     ~~^~~~~~~~~~~~~~~~~~~~

Subtask #1
2.0 / 2.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 5072 KB Output is correct
2 Correct 3 ms 4944 KB Output is correct
3 Correct 6 ms 5072 KB Output is correct
4 Correct 6 ms 5072 KB Output is correct
5 Correct 6 ms 5072 KB Output is correct
6 Correct 8 ms 5088 KB Output is correct
7 Correct 8 ms 5156 KB Output is correct
8 Correct 8 ms 5072 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4944 KB Output is correct
2 Correct 3 ms 5072 KB Output is correct
3 Correct 4 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 5200 KB Output is correct
8 Correct 4 ms 5200 KB Output is correct
9 Correct 3 ms 5200 KB Output is correct
10 Correct 4 ms 5456 KB Output is correct
11 Correct 4 ms 5456 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 5072 KB Output is correct
2 Correct 3 ms 4944 KB Output is correct
3 Correct 6 ms 5072 KB Output is correct
4 Correct 6 ms 5072 KB Output is correct
5 Correct 6 ms 5072 KB Output is correct
6 Correct 8 ms 5088 KB Output is correct
7 Correct 8 ms 5156 KB Output is correct
8 Correct 8 ms 5072 KB Output is correct
9 Correct 3 ms 4944 KB Output is correct
10 Correct 3 ms 5072 KB Output is correct
11 Correct 4 ms 5072 KB Output is correct
12 Correct 3 ms 5072 KB Output is correct
13 Correct 3 ms 5072 KB Output is correct
14 Correct 3 ms 5072 KB Output is correct
15 Correct 3 ms 5200 KB Output is correct
16 Correct 4 ms 5200 KB Output is correct
17 Correct 3 ms 5200 KB Output is correct
18 Correct 4 ms 5456 KB Output is correct
19 Correct 4 ms 5456 KB Output is correct
20 Correct 3 ms 5072 KB Output is correct
21 Correct 3 ms 5192 KB Output is correct
22 Correct 3 ms 5072 KB Output is correct
23 Correct 4 ms 5072 KB Output is correct
24 Correct 3 ms 5208 KB Output is correct
25 Correct 4 ms 5208 KB Output is correct
26 Correct 4 ms 5200 KB Output is correct
27 Correct 3 ms 5200 KB Output is correct
28 Correct 3 ms 5084 KB Output is correct
29 Correct 7 ms 5088 KB Output is correct
30 Correct 6 ms 5072 KB Output is correct
31 Correct 3 ms 5328 KB Output is correct
32 Correct 3 ms 5200 KB Output is correct
33 Correct 3 ms 5168 KB Output is correct
34 Correct 4 ms 5072 KB Output is correct
35 Correct 3 ms 5072 KB Output is correct
36 Correct 4 ms 5456 KB Output is correct
37 Correct 7 ms 5408 KB Output is correct
38 Correct 6 ms 5400 KB Output is correct
39 Correct 3 ms 5088 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 716 ms 9472 KB Output is correct
2 Correct 929 ms 13956 KB Output is correct
3 Correct 905 ms 14024 KB Output is correct
4 Correct 999 ms 13916 KB Output is correct

Subtask #5
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 716 ms 9472 KB Output is correct
2 Correct 929 ms 13956 KB Output is correct
3 Correct 905 ms 14024 KB Output is correct
4 Correct 999 ms 13916 KB Output is correct
5 Correct 766 ms 9500 KB Output is correct
6 Correct 1122 ms 13960 KB Output is correct
7 Correct 1143 ms 14016 KB Output is correct
8 Correct 917 ms 13972 KB Output is correct
9 Correct 490 ms 5328 KB Output is correct
10 Correct 1072 ms 5540 KB Output is correct
11 Correct 994 ms 5584 KB Output is correct
12 Correct 866 ms 5584 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4944 KB Output is correct
2 Correct 3 ms 5072 KB Output is correct
3 Correct 4 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 5200 KB Output is correct
8 Correct 4 ms 5200 KB Output is correct
9 Correct 3 ms 5200 KB Output is correct
10 Correct 4 ms 5456 KB Output is correct
11 Correct 4 ms 5456 KB Output is correct
12 Correct 3 ms 5072 KB Output is correct
13 Correct 716 ms 9472 KB Output is correct
14 Correct 929 ms 13956 KB Output is correct
15 Correct 905 ms 14024 KB Output is correct
16 Correct 999 ms 13916 KB Output is correct
17 Correct 766 ms 9500 KB Output is correct
18 Correct 1122 ms 13960 KB Output is correct
19 Correct 1143 ms 14016 KB Output is correct
20 Correct 917 ms 13972 KB Output is correct
21 Correct 490 ms 5328 KB Output is correct
22 Correct 1072 ms 5540 KB Output is correct
23 Correct 994 ms 5584 KB Output is correct
24 Correct 866 ms 5584 KB Output is correct
25 Correct 1107 ms 18744 KB Output is correct
26 Correct 1034 ms 18952 KB Output is correct
27 Correct 1146 ms 18896 KB Output is correct
28 Correct 721 ms 18892 KB Output is correct
29 Correct 1142 ms 47132 KB Output is correct
30 Correct 961 ms 47100 KB Output is correct

Subtask #7
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 5072 KB Output is correct
2 Correct 3 ms 4944 KB Output is correct
3 Correct 6 ms 5072 KB Output is correct
4 Correct 6 ms 5072 KB Output is correct
5 Correct 6 ms 5072 KB Output is correct
6 Correct 8 ms 5088 KB Output is correct
7 Correct 8 ms 5156 KB Output is correct
8 Correct 8 ms 5072 KB Output is correct
9 Correct 3 ms 4944 KB Output is correct
10 Correct 3 ms 5072 KB Output is correct
11 Correct 4 ms 5072 KB Output is correct
12 Correct 3 ms 5072 KB Output is correct
13 Correct 3 ms 5072 KB Output is correct
14 Correct 3 ms 5072 KB Output is correct
15 Correct 3 ms 5200 KB Output is correct
16 Correct 4 ms 5200 KB Output is correct
17 Correct 3 ms 5200 KB Output is correct
18 Correct 4 ms 5456 KB Output is correct
19 Correct 4 ms 5456 KB Output is correct
20 Correct 3 ms 5072 KB Output is correct
21 Correct 3 ms 5192 KB Output is correct
22 Correct 3 ms 5072 KB Output is correct
23 Correct 4 ms 5072 KB Output is correct
24 Correct 3 ms 5208 KB Output is correct
25 Correct 4 ms 5208 KB Output is correct
26 Correct 4 ms 5200 KB Output is correct
27 Correct 3 ms 5200 KB Output is correct
28 Correct 3 ms 5084 KB Output is correct
29 Correct 7 ms 5088 KB Output is correct
30 Correct 6 ms 5072 KB Output is correct
31 Correct 3 ms 5328 KB Output is correct
32 Correct 3 ms 5200 KB Output is correct
33 Correct 3 ms 5168 KB Output is correct
34 Correct 4 ms 5072 KB Output is correct
35 Correct 3 ms 5072 KB Output is correct
36 Correct 4 ms 5456 KB Output is correct
37 Correct 7 ms 5408 KB Output is correct
38 Correct 6 ms 5400 KB Output is correct
39 Correct 3 ms 5088 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 654 ms 5456 KB Output is correct
44 Correct 957 ms 5456 KB Output is correct
45 Correct 1114 ms 5504 KB Output is correct
46 Correct 913 ms 5788 KB Output is correct
47 Correct 1004 ms 5728 KB Output is correct
48 Correct 958 ms 5840 KB Output is correct
49 Correct 988 ms 5808 KB Output is correct
50 Correct 892 ms 5724 KB Output is correct
51 Correct 1004 ms 5632 KB Output is correct
52 Correct 1010 ms 5676 KB Output is correct
53 Correct 809 ms 6736 KB Output is correct
54 Correct 740 ms 5712 KB Output is correct
55 Correct 950 ms 5616 KB Output is correct
56 Correct 931 ms 5584 KB Output is correct
57 Correct 803 ms 5456 KB Output is correct
58 Correct 850 ms 7120 KB Output is correct
59 Correct 1060 ms 7376 KB Output is correct
60 Correct 1041 ms 7248 KB Output is correct
61 Correct 743 ms 5840 KB Output is correct
62 Correct 819 ms 5468 KB Output is correct
63 Correct 801 ms 5456 KB Output is correct
64 Correct 930 ms 5584 KB Output is correct
65 Correct 532 ms 5328 KB Output is correct
66 Correct 754 ms 5584 KB Output is correct
67 Correct 708 ms 5584 KB Output is correct
68 Correct 832 ms 5584 KB Output is correct

Subtask #8
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 5072 KB Output is correct
2 Correct 3 ms 4944 KB Output is correct
3 Correct 6 ms 5072 KB Output is correct
4 Correct 6 ms 5072 KB Output is correct
5 Correct 6 ms 5072 KB Output is correct
6 Correct 8 ms 5088 KB Output is correct
7 Correct 8 ms 5156 KB Output is correct
8 Correct 8 ms 5072 KB Output is correct
9 Correct 3 ms 4944 KB Output is correct
10 Correct 3 ms 5072 KB Output is correct
11 Correct 4 ms 5072 KB Output is correct
12 Correct 3 ms 5072 KB Output is correct
13 Correct 3 ms 5072 KB Output is correct
14 Correct 3 ms 5072 KB Output is correct
15 Correct 3 ms 5200 KB Output is correct
16 Correct 4 ms 5200 KB Output is correct
17 Correct 3 ms 5200 KB Output is correct
18 Correct 4 ms 5456 KB Output is correct
19 Correct 4 ms 5456 KB Output is correct
20 Correct 3 ms 5072 KB Output is correct
21 Correct 3 ms 5192 KB Output is correct
22 Correct 3 ms 5072 KB Output is correct
23 Correct 4 ms 5072 KB Output is correct
24 Correct 3 ms 5208 KB Output is correct
25 Correct 4 ms 5208 KB Output is correct
26 Correct 4 ms 5200 KB Output is correct
27 Correct 3 ms 5200 KB Output is correct
28 Correct 3 ms 5084 KB Output is correct
29 Correct 7 ms 5088 KB Output is correct
30 Correct 6 ms 5072 KB Output is correct
31 Correct 3 ms 5328 KB Output is correct
32 Correct 3 ms 5200 KB Output is correct
33 Correct 3 ms 5168 KB Output is correct
34 Correct 4 ms 5072 KB Output is correct
35 Correct 3 ms 5072 KB Output is correct
36 Correct 4 ms 5456 KB Output is correct
37 Correct 7 ms 5408 KB Output is correct
38 Correct 6 ms 5400 KB Output is correct
39 Correct 3 ms 5088 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 716 ms 9472 KB Output is correct
44 Correct 929 ms 13956 KB Output is correct
45 Correct 905 ms 14024 KB Output is correct
46 Correct 999 ms 13916 KB Output is correct
47 Correct 766 ms 9500 KB Output is correct
48 Correct 1122 ms 13960 KB Output is correct
49 Correct 1143 ms 14016 KB Output is correct
50 Correct 917 ms 13972 KB Output is correct
51 Correct 490 ms 5328 KB Output is correct
52 Correct 1072 ms 5540 KB Output is correct
53 Correct 994 ms 5584 KB Output is correct
54 Correct 866 ms 5584 KB Output is correct
55 Correct 1107 ms 18744 KB Output is correct
56 Correct 1034 ms 18952 KB Output is correct
57 Correct 1146 ms 18896 KB Output is correct
58 Correct 721 ms 18892 KB Output is correct
59 Correct 1142 ms 47132 KB Output is correct
60 Correct 961 ms 47100 KB Output is correct
61 Correct 654 ms 5456 KB Output is correct
62 Correct 957 ms 5456 KB Output is correct
63 Correct 1114 ms 5504 KB Output is correct
64 Correct 913 ms 5788 KB Output is correct
65 Correct 1004 ms 5728 KB Output is correct
66 Correct 958 ms 5840 KB Output is correct
67 Correct 988 ms 5808 KB Output is correct
68 Correct 892 ms 5724 KB Output is correct
69 Correct 1004 ms 5632 KB Output is correct
70 Correct 1010 ms 5676 KB Output is correct
71 Correct 809 ms 6736 KB Output is correct
72 Correct 740 ms 5712 KB Output is correct
73 Correct 950 ms 5616 KB Output is correct
74 Correct 931 ms 5584 KB Output is correct
75 Correct 803 ms 5456 KB Output is correct
76 Correct 850 ms 7120 KB Output is correct
77 Correct 1060 ms 7376 KB Output is correct
78 Correct 1041 ms 7248 KB Output is correct
79 Correct 743 ms 5840 KB Output is correct
80 Correct 819 ms 5468 KB Output is correct
81 Correct 801 ms 5456 KB Output is correct
82 Correct 930 ms 5584 KB Output is correct
83 Correct 532 ms 5328 KB Output is correct
84 Correct 754 ms 5584 KB Output is correct
85 Correct 708 ms 5584 KB Output is correct
86 Correct 832 ms 5584 KB Output is correct
87 Correct 3 ms 4944 KB Output is correct
88 Correct 612 ms 17556 KB Output is correct
89 Correct 982 ms 13764 KB Output is correct
90 Correct 959 ms 13580 KB Output is correct
91 Correct 1065 ms 19072 KB Output is correct
92 Correct 995 ms 19052 KB Output is correct
93 Correct 934 ms 19016 KB Output is correct
94 Correct 1071 ms 19016 KB Output is correct
95 Correct 922 ms 19016 KB Output is correct
96 Execution timed out 3051 ms 9920 KB Time limit exceeded
97 Halted 0 ms 0 KB -