oj.uz

Submission #767520

# Submission time Handle Problem Language Result Execution time Memory
767520 2023-06-26T19:54:33 Z t6twotwo Digital Circuit (IOI22_circuit) C++17
100 / 100
 910 ms 13192 KB 
#include "circuit.h"
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
constexpr int mod = 1000002022;
int add(int x, int y) {
    int z = x + y;
    if (z >= mod) {
        z -= mod;
    }
    return z;
}
int sub(int x, int y) {
    int z = x - y;
    if (z < 0) {
        z += mod;
    }
    return z;
}
int mul(int x, int y) {
    return (ll)x * y % mod;
}
int N, M, K;
vector<int> lazy, S, T;
void apply(int p, int v) {
    if (v) {
        S[p] = sub(T[p], S[p]);
        lazy[p] ^= 1;
    }
}
void push(int p) {
    apply(p * 2 + 1, lazy[p]);
    apply(p * 2 + 2, lazy[p]);
    lazy[p] = 0;
}
void pull(int p) {
    S[p] = add(S[p * 2 + 1], S[p * 2 + 2]);
}
void update(int p, int l, int r, int L, int R) {
    if (R <= l || r <= L) {
        return;
    }
    if (L <= l && r <= R) {
        apply(p, 1);
        return;
    }
    int m = (l + r + 1) / 2;
    push(p);
    update(p * 2 + 1, l, m, L, R);
    update(p * 2 + 2, m, r, L, R);
    pull(p);
}
void init(int n, int m, vector<int> P, vector<int> A) {
    N = n, M = m;
    vector<vector<int>> ch(N);
    for (int i = 1; i < N + M; i++) {
        ch[P[i]].push_back(i);
    }
    vector<int> tot(N + M);
    for (int i = N; i < N + M; i++) {
        tot[i] = 1;
    }
    for (int i = N - 1; i >= 0; i--) {
        tot[i] = ch[i].size();
        for (int j : ch[i]) {
            tot[i] = mul(tot[i], tot[j]);
        }
    }
    vector<int> f(N + M);
    f[0] = 1;
    for (int i = 0; i < N; i++) {
        int q = ch[i].size();
        vector<int> pre(q + 1);
        pre[0] = 1;
        for (int j = 0; j < q; j++) {
            pre[j + 1] = mul(pre[j], tot[ch[i][j]]);
        }
        vector<int> suf(q + 1);
        suf[q] = 1;
        for (int j = q - 1; j >= 0; j--) {
            suf[j] = mul(suf[j + 1], tot[ch[i][j]]);
        }
        for (int j = 0; j < q; j++) {
            f[ch[i][j]] = mul(f[i], mul(pre[j], suf[j + 1]));
        }
    }
    K = 2 << __lg(M);
    S.resize(2 * K - 1);
    T.resize(2 * K - 1);
    lazy.resize(2 * K - 1);
    for (int i = 0; i < M; i++) {
        if (A[i] == 1) {
            S[i + K - 1] = f[i + N];
        }
        T[i + K - 1] = f[i + N];
    }
    for (int i = K - 2; i >= 0; i--) {
        S[i] = add(S[i * 2 + 1], S[i * 2 + 2]);
        T[i] = add(T[i * 2 + 1], T[i * 2 + 2]);
    }
}
int count_ways(int L, int R) {
    update(0, 0, K, L - N, R - N + 1);
    return S[0];
}

Subtask #1
2.0 / 2.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 208 KB Output is correct
2 Correct 0 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

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 208 KB Output is correct
2 Correct 1 ms 208 KB Output is correct
3 Correct 1 ms 364 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 1 ms 336 KB Output is correct
11 Correct 1 ms 336 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 1 ms 208 KB Output is correct
2 Correct 0 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 208 KB Output is correct
10 Correct 1 ms 208 KB Output is correct
11 Correct 1 ms 364 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 1 ms 336 KB Output is correct
19 Correct 1 ms 336 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 336 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 384 KB Output is correct
35 Correct 1 ms 336 KB Output is correct
36 Correct 1 ms 336 KB Output is correct
37 Correct 1 ms 336 KB Output is correct
38 Correct 1 ms 336 KB Output is correct
39 Correct 1 ms 384 KB Output is correct
40 Correct 1 ms 336 KB Output is correct
41 Correct 1 ms 336 KB Output is correct
42 Correct 1 ms 336 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 435 ms 4916 KB Output is correct
2 Correct 908 ms 9544 KB Output is correct
3 Correct 635 ms 9524 KB Output is correct
4 Correct 682 ms 9544 KB Output is correct

Subtask #5
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 435 ms 4916 KB Output is correct
2 Correct 908 ms 9544 KB Output is correct
3 Correct 635 ms 9524 KB Output is correct
4 Correct 682 ms 9544 KB Output is correct
5 Correct 596 ms 4916 KB Output is correct
6 Correct 796 ms 9448 KB Output is correct
7 Correct 791 ms 9508 KB Output is correct
8 Correct 694 ms 9496 KB Output is correct
9 Correct 274 ms 564 KB Output is correct
10 Correct 676 ms 856 KB Output is correct
11 Correct 662 ms 852 KB Output is correct
12 Correct 599 ms 852 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 208 KB Output is correct
2 Correct 1 ms 208 KB Output is correct
3 Correct 1 ms 364 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 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 435 ms 4916 KB Output is correct
14 Correct 908 ms 9544 KB Output is correct
15 Correct 635 ms 9524 KB Output is correct
16 Correct 682 ms 9544 KB Output is correct
17 Correct 596 ms 4916 KB Output is correct
18 Correct 796 ms 9448 KB Output is correct
19 Correct 791 ms 9508 KB Output is correct
20 Correct 694 ms 9496 KB Output is correct
21 Correct 274 ms 564 KB Output is correct
22 Correct 676 ms 856 KB Output is correct
23 Correct 662 ms 852 KB Output is correct
24 Correct 599 ms 852 KB Output is correct
25 Correct 843 ms 12616 KB Output is correct
26 Correct 882 ms 12760 KB Output is correct
27 Correct 792 ms 12700 KB Output is correct
28 Correct 618 ms 12756 KB Output is correct
29 Correct 753 ms 12728 KB Output is correct
30 Correct 661 ms 12744 KB Output is correct

Subtask #7
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 208 KB Output is correct
2 Correct 0 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 208 KB Output is correct
10 Correct 1 ms 208 KB Output is correct
11 Correct 1 ms 364 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 1 ms 336 KB Output is correct
19 Correct 1 ms 336 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 336 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 384 KB Output is correct
35 Correct 1 ms 336 KB Output is correct
36 Correct 1 ms 336 KB Output is correct
37 Correct 1 ms 336 KB Output is correct
38 Correct 1 ms 336 KB Output is correct
39 Correct 1 ms 384 KB Output is correct
40 Correct 1 ms 336 KB Output is correct
41 Correct 1 ms 336 KB Output is correct
42 Correct 1 ms 336 KB Output is correct
43 Correct 460 ms 652 KB Output is correct
44 Correct 750 ms 660 KB Output is correct
45 Correct 690 ms 680 KB Output is correct
46 Correct 595 ms 952 KB Output is correct
47 Correct 415 ms 940 KB Output is correct
48 Correct 483 ms 940 KB Output is correct
49 Correct 744 ms 956 KB Output is correct
50 Correct 597 ms 948 KB Output is correct
51 Correct 657 ms 616 KB Output is correct
52 Correct 689 ms 612 KB Output is correct
53 Correct 635 ms 592 KB Output is correct
54 Correct 733 ms 936 KB Output is correct
55 Correct 698 ms 764 KB Output is correct
56 Correct 815 ms 720 KB Output is correct
57 Correct 703 ms 620 KB Output is correct
58 Correct 712 ms 940 KB Output is correct
59 Correct 710 ms 992 KB Output is correct
60 Correct 711 ms 992 KB Output is correct
61 Correct 652 ms 720 KB Output is correct
62 Correct 686 ms 592 KB Output is correct
63 Correct 693 ms 584 KB Output is correct
64 Correct 598 ms 632 KB Output is correct
65 Correct 387 ms 560 KB Output is correct
66 Correct 654 ms 856 KB Output is correct
67 Correct 748 ms 968 KB Output is correct
68 Correct 737 ms 852 KB Output is correct

Subtask #8
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 208 KB Output is correct
2 Correct 0 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 208 KB Output is correct
10 Correct 1 ms 208 KB Output is correct
11 Correct 1 ms 364 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 1 ms 336 KB Output is correct
19 Correct 1 ms 336 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 336 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 384 KB Output is correct
35 Correct 1 ms 336 KB Output is correct
36 Correct 1 ms 336 KB Output is correct
37 Correct 1 ms 336 KB Output is correct
38 Correct 1 ms 336 KB Output is correct
39 Correct 1 ms 384 KB Output is correct
40 Correct 1 ms 336 KB Output is correct
41 Correct 1 ms 336 KB Output is correct
42 Correct 1 ms 336 KB Output is correct
43 Correct 435 ms 4916 KB Output is correct
44 Correct 908 ms 9544 KB Output is correct
45 Correct 635 ms 9524 KB Output is correct
46 Correct 682 ms 9544 KB Output is correct
47 Correct 596 ms 4916 KB Output is correct
48 Correct 796 ms 9448 KB Output is correct
49 Correct 791 ms 9508 KB Output is correct
50 Correct 694 ms 9496 KB Output is correct
51 Correct 274 ms 564 KB Output is correct
52 Correct 676 ms 856 KB Output is correct
53 Correct 662 ms 852 KB Output is correct
54 Correct 599 ms 852 KB Output is correct
55 Correct 843 ms 12616 KB Output is correct
56 Correct 882 ms 12760 KB Output is correct
57 Correct 792 ms 12700 KB Output is correct
58 Correct 618 ms 12756 KB Output is correct
59 Correct 753 ms 12728 KB Output is correct
60 Correct 661 ms 12744 KB Output is correct
61 Correct 460 ms 652 KB Output is correct
62 Correct 750 ms 660 KB Output is correct
63 Correct 690 ms 680 KB Output is correct
64 Correct 595 ms 952 KB Output is correct
65 Correct 415 ms 940 KB Output is correct
66 Correct 483 ms 940 KB Output is correct
67 Correct 744 ms 956 KB Output is correct
68 Correct 597 ms 948 KB Output is correct
69 Correct 657 ms 616 KB Output is correct
70 Correct 689 ms 612 KB Output is correct
71 Correct 635 ms 592 KB Output is correct
72 Correct 733 ms 936 KB Output is correct
73 Correct 698 ms 764 KB Output is correct
74 Correct 815 ms 720 KB Output is correct
75 Correct 703 ms 620 KB Output is correct
76 Correct 712 ms 940 KB Output is correct
77 Correct 710 ms 992 KB Output is correct
78 Correct 711 ms 992 KB Output is correct
79 Correct 652 ms 720 KB Output is correct
80 Correct 686 ms 592 KB Output is correct
81 Correct 693 ms 584 KB Output is correct
82 Correct 598 ms 632 KB Output is correct
83 Correct 387 ms 560 KB Output is correct
84 Correct 654 ms 856 KB Output is correct
85 Correct 748 ms 968 KB Output is correct
86 Correct 737 ms 852 KB Output is correct
87 Correct 0 ms 208 KB Output is correct
88 Correct 420 ms 11920 KB Output is correct
89 Correct 807 ms 8528 KB Output is correct
90 Correct 617 ms 7928 KB Output is correct
91 Correct 677 ms 12828 KB Output is correct
92 Correct 719 ms 12828 KB Output is correct
93 Correct 712 ms 12876 KB Output is correct
94 Correct 887 ms 12860 KB Output is correct
95 Correct 713 ms 12824 KB Output is correct
96 Correct 687 ms 6152 KB Output is correct
97 Correct 808 ms 6144 KB Output is correct
98 Correct 671 ms 7244 KB Output is correct
99 Correct 910 ms 12696 KB Output is correct
100 Correct 709 ms 9244 KB Output is correct
101 Correct 646 ms 7952 KB Output is correct
102 Correct 747 ms 6216 KB Output is correct
103 Correct 865 ms 12724 KB Output is correct
104 Correct 783 ms 13192 KB Output is correct
105 Correct 772 ms 13192 KB Output is correct
106 Correct 690 ms 8208 KB Output is correct
107 Correct 812 ms 7836 KB Output is correct
108 Correct 833 ms 7368 KB Output is correct
109 Correct 691 ms 6320 KB Output is correct