Submission #720667

# Submission time Handle Problem Language Result Execution time Memory
720667 2023-04-08T21:23:30 Z Mamedov Digital Circuit (IOI22_circuit) C++17
100 / 100
1161 ms 18588 KB
#include "circuit.h"
#pragma GCC optimize ("O3")
#include <bits/stdc++.h>
#define pii pair<int, int>
#define piii pair<pii, int>
#define vi vector<int>
#define vll vector<ll>
#define vvi vector<vi>
#define vpii vector<pii>
#define vvpii vector<vpii>
#define f first
#define s second
#define oo 1000000001
#define eb emplace_back
#define pb push_back
#define mpr make_pair
#define size(v) (int)v.size()
#define ln '\n'
#define ull unsigned long long
#define ll long long
#define all(v) v.begin(), v.end()

using namespace std;

const int mod = 1e9 + 2022;
const int up = 1e5 + 5;
vvi tree;
vi reNum, realNode, suff;
vi cont, psum;

int n, m;

int tme = 0;
void dfs1(int v) {
  if (v < n) {
    reNum[v] = tme;
    realNode[tme] = v;
    tme++;
  }
  for (int to : tree[v]) {
    dfs1(to);
  }
}

int pre = 1, tmr = 0;
void dfs2(int v) {
  if (v >= n) {
    cont[v - n] = (1ll * pre * suff[tmr]) % mod;
  } else {
    tmr++;
  }
  for (int to : tree[v]) {
    dfs2(to);
  }
  if (v < n) {
    pre = (1ll * pre * size(tree[v])) % mod;
  }
}

int segTree[up << 2];
int lazy[up << 2];

void build(int v, int l, int r, vi &A) {
  if (l == r) {
    segTree[v] = A[l] * cont[l];
  } else {
    int mid = (l + r) >> 1;
    build(v << 1, l, mid , A);
    build((v << 1) | 1, mid + 1, r, A);
    segTree[v] = (segTree[v << 1] + segTree[(v << 1) | 1]) % mod;
  }
}

void relax(int v, int l, int r) {
  lazy[v] = 0;
  int total = psum[r + 1] - psum[l];
  if (total < 0) total += mod;
  segTree[v] = total - segTree[v];
  if (segTree[v] < 0) segTree[v] += mod;

  if (l != r) {
    lazy[v << 1] ^= 1;
    lazy[(v << 1) | 1] ^= 1;
  }
}
void update(int v, int l, int r, int ul, int ur) {
  if (lazy[v]) relax(v, l, r);
  if (r < ul || ur < l) return;
  if (ul <= l && r <= ur) {
    relax(v, l, r);
  } else {
    int mid = (l + r) >> 1;
    update(v << 1, l, mid, ul, ur);
    update((v << 1) | 1, mid + 1, r, ul, ur);
    segTree[v] = (segTree[v << 1] + segTree[(v << 1) | 1]) % mod;
  }
}

void init(int N, int M, vi P, vi A) {
  n = N; m = M;
  tree.resize(N + M);
  for (int i = 1; i < N + M; ++i) {
    tree[P[i]].eb(i);
  }

  reNum.resize(N);
  realNode.resize(N);
  dfs1(0);

  suff.resize(N + 1);
  suff[N] = 1;
  for (int i = N - 1; i >= 0; --i) {
    suff[i] = (1ll * suff[i + 1] * size(tree[realNode[i]])) % mod;
  }

  cont.resize(M);
  dfs2(0);
  psum.resize(M + 1);
  psum[0] = 0;
  for (int i = 0; i < M; ++i) {
    psum[i + 1] = psum[i] + cont[i];
    if (psum[i + 1] >= mod) psum[i + 1] -= mod;
  }
  build(1, 0, M - 1, A);
}

int count_ways(int L, int R) {
  update(1, 0, m - 1, L - n, R - n);
  return segTree[1];
}
# Verdict Execution time Memory Grader output
1 Correct 0 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 368 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 208 KB Output is correct
2 Correct 1 ms 336 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 2 ms 372 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 464 KB Output is correct
11 Correct 1 ms 464 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 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 368 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 0 ms 208 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 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 2 ms 372 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 464 KB Output is correct
19 Correct 1 ms 464 KB Output is correct
20 Correct 1 ms 336 KB Output is correct
21 Correct 2 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 460 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 336 KB Output is correct
35 Correct 1 ms 336 KB Output is correct
36 Correct 1 ms 464 KB Output is correct
37 Correct 1 ms 464 KB Output is correct
38 Correct 1 ms 464 KB Output is correct
39 Correct 1 ms 336 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
# Verdict Execution time Memory Grader output
1 Correct 684 ms 4536 KB Output is correct
2 Correct 893 ms 8752 KB Output is correct
3 Correct 773 ms 8748 KB Output is correct
4 Correct 852 ms 8748 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 684 ms 4536 KB Output is correct
2 Correct 893 ms 8752 KB Output is correct
3 Correct 773 ms 8748 KB Output is correct
4 Correct 852 ms 8748 KB Output is correct
5 Correct 740 ms 4540 KB Output is correct
6 Correct 863 ms 8748 KB Output is correct
7 Correct 916 ms 8776 KB Output is correct
8 Correct 814 ms 8752 KB Output is correct
9 Correct 413 ms 592 KB Output is correct
10 Correct 772 ms 848 KB Output is correct
11 Correct 779 ms 808 KB Output is correct
12 Correct 835 ms 848 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 208 KB Output is correct
2 Correct 1 ms 336 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 2 ms 372 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 464 KB Output is correct
11 Correct 1 ms 464 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 684 ms 4536 KB Output is correct
14 Correct 893 ms 8752 KB Output is correct
15 Correct 773 ms 8748 KB Output is correct
16 Correct 852 ms 8748 KB Output is correct
17 Correct 740 ms 4540 KB Output is correct
18 Correct 863 ms 8748 KB Output is correct
19 Correct 916 ms 8776 KB Output is correct
20 Correct 814 ms 8752 KB Output is correct
21 Correct 413 ms 592 KB Output is correct
22 Correct 772 ms 848 KB Output is correct
23 Correct 779 ms 808 KB Output is correct
24 Correct 835 ms 848 KB Output is correct
25 Correct 839 ms 13160 KB Output is correct
26 Correct 1101 ms 13492 KB Output is correct
27 Correct 829 ms 13372 KB Output is correct
28 Correct 803 ms 13472 KB Output is correct
29 Correct 1033 ms 18116 KB Output is correct
30 Correct 792 ms 18088 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 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 368 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 0 ms 208 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 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 2 ms 372 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 464 KB Output is correct
19 Correct 1 ms 464 KB Output is correct
20 Correct 1 ms 336 KB Output is correct
21 Correct 2 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 460 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 336 KB Output is correct
35 Correct 1 ms 336 KB Output is correct
36 Correct 1 ms 464 KB Output is correct
37 Correct 1 ms 464 KB Output is correct
38 Correct 1 ms 464 KB Output is correct
39 Correct 1 ms 336 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 678 ms 736 KB Output is correct
44 Correct 975 ms 796 KB Output is correct
45 Correct 864 ms 756 KB Output is correct
46 Correct 858 ms 1028 KB Output is correct
47 Correct 807 ms 1044 KB Output is correct
48 Correct 881 ms 1048 KB Output is correct
49 Correct 757 ms 1044 KB Output is correct
50 Correct 807 ms 1024 KB Output is correct
51 Correct 762 ms 560 KB Output is correct
52 Correct 736 ms 684 KB Output is correct
53 Correct 647 ms 848 KB Output is correct
54 Correct 895 ms 1036 KB Output is correct
55 Correct 1014 ms 868 KB Output is correct
56 Correct 856 ms 800 KB Output is correct
57 Correct 930 ms 680 KB Output is correct
58 Correct 1046 ms 1268 KB Output is correct
59 Correct 969 ms 1304 KB Output is correct
60 Correct 829 ms 1260 KB Output is correct
61 Correct 847 ms 848 KB Output is correct
62 Correct 881 ms 592 KB Output is correct
63 Correct 818 ms 560 KB Output is correct
64 Correct 882 ms 592 KB Output is correct
65 Correct 436 ms 560 KB Output is correct
66 Correct 742 ms 812 KB Output is correct
67 Correct 954 ms 848 KB Output is correct
68 Correct 753 ms 820 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 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 368 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 0 ms 208 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 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 2 ms 372 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 464 KB Output is correct
19 Correct 1 ms 464 KB Output is correct
20 Correct 1 ms 336 KB Output is correct
21 Correct 2 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 460 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 336 KB Output is correct
35 Correct 1 ms 336 KB Output is correct
36 Correct 1 ms 464 KB Output is correct
37 Correct 1 ms 464 KB Output is correct
38 Correct 1 ms 464 KB Output is correct
39 Correct 1 ms 336 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 684 ms 4536 KB Output is correct
44 Correct 893 ms 8752 KB Output is correct
45 Correct 773 ms 8748 KB Output is correct
46 Correct 852 ms 8748 KB Output is correct
47 Correct 740 ms 4540 KB Output is correct
48 Correct 863 ms 8748 KB Output is correct
49 Correct 916 ms 8776 KB Output is correct
50 Correct 814 ms 8752 KB Output is correct
51 Correct 413 ms 592 KB Output is correct
52 Correct 772 ms 848 KB Output is correct
53 Correct 779 ms 808 KB Output is correct
54 Correct 835 ms 848 KB Output is correct
55 Correct 839 ms 13160 KB Output is correct
56 Correct 1101 ms 13492 KB Output is correct
57 Correct 829 ms 13372 KB Output is correct
58 Correct 803 ms 13472 KB Output is correct
59 Correct 1033 ms 18116 KB Output is correct
60 Correct 792 ms 18088 KB Output is correct
61 Correct 678 ms 736 KB Output is correct
62 Correct 975 ms 796 KB Output is correct
63 Correct 864 ms 756 KB Output is correct
64 Correct 858 ms 1028 KB Output is correct
65 Correct 807 ms 1044 KB Output is correct
66 Correct 881 ms 1048 KB Output is correct
67 Correct 757 ms 1044 KB Output is correct
68 Correct 807 ms 1024 KB Output is correct
69 Correct 762 ms 560 KB Output is correct
70 Correct 736 ms 684 KB Output is correct
71 Correct 647 ms 848 KB Output is correct
72 Correct 895 ms 1036 KB Output is correct
73 Correct 1014 ms 868 KB Output is correct
74 Correct 856 ms 800 KB Output is correct
75 Correct 930 ms 680 KB Output is correct
76 Correct 1046 ms 1268 KB Output is correct
77 Correct 969 ms 1304 KB Output is correct
78 Correct 829 ms 1260 KB Output is correct
79 Correct 847 ms 848 KB Output is correct
80 Correct 881 ms 592 KB Output is correct
81 Correct 818 ms 560 KB Output is correct
82 Correct 882 ms 592 KB Output is correct
83 Correct 436 ms 560 KB Output is correct
84 Correct 742 ms 812 KB Output is correct
85 Correct 954 ms 848 KB Output is correct
86 Correct 753 ms 820 KB Output is correct
87 Correct 0 ms 208 KB Output is correct
88 Correct 575 ms 12244 KB Output is correct
89 Correct 1095 ms 8924 KB Output is correct
90 Correct 847 ms 8432 KB Output is correct
91 Correct 880 ms 13588 KB Output is correct
92 Correct 1075 ms 13480 KB Output is correct
93 Correct 974 ms 13504 KB Output is correct
94 Correct 1156 ms 13512 KB Output is correct
95 Correct 1082 ms 13504 KB Output is correct
96 Correct 597 ms 6472 KB Output is correct
97 Correct 870 ms 6800 KB Output is correct
98 Correct 687 ms 12324 KB Output is correct
99 Correct 992 ms 13388 KB Output is correct
100 Correct 936 ms 9804 KB Output is correct
101 Correct 1161 ms 8548 KB Output is correct
102 Correct 856 ms 6808 KB Output is correct
103 Correct 1044 ms 18084 KB Output is correct
104 Correct 1044 ms 18588 KB Output is correct
105 Correct 959 ms 18584 KB Output is correct
106 Correct 631 ms 9516 KB Output is correct
107 Correct 802 ms 7984 KB Output is correct
108 Correct 849 ms 7664 KB Output is correct
109 Correct 1082 ms 6860 KB Output is correct