Submission #659863

# Submission time Handle Problem Language Result Execution time Memory
659863 2022-11-19T14:32:09 Z peijar Digital Circuit (IOI22_circuit) C++17
100 / 100
1271 ms 60328 KB
#include "circuit.h"
#include <bits/stdc++.h>
#define int long long
using namespace std;

const int MOD = (int)1e9 + 2022;
const int MAX = 1e6;

int par[MAX];
vector<int> childs[MAX];
int cntParams[MAX];
int nbInternes, nbFeuilles;

int coeff[MAX];

int iDeb[MAX], iFin[MAX];
int sum[MAX], sumCoeffs[MAX], lazy[MAX];

void pull(int node) {
  sum[node] = sum[2 * node] + sum[2 * node + 1];
  if (sum[node] >= MOD)
    sum[node] -= MOD;
}

void push(int node) {
  if (!lazy[node])
    return;
  sum[node] = sumCoeffs[node] - sum[node];
  if (sum[node] < 0)
    sum[node] += MOD;
  if (iDeb[node] < iFin[node])
    lazy[2 * node] ^= 1, lazy[2 * node + 1] ^= 1;
  lazy[node] = 0;
}

void initSeg(int node, int l, int r, vector<signed> &valInit) {
  iDeb[node] = l, iFin[node] = r;
  if (l == r) {
    sumCoeffs[node] = coeff[l];
    sum[node] = valInit[l] * coeff[l];
    return;
  }
  initSeg(2 * node, l, (l + r) / 2, valInit);
  initSeg(2 * node + 1, (l + r) / 2 + 1, r, valInit);
  pull(node);
  sumCoeffs[node] = sumCoeffs[2 * node] + sumCoeffs[2 * node + 1];
  if (sumCoeffs[node] >= MOD)
    sumCoeffs[node] -= MOD;
}

void upd(int node, int l, int r) {
  push(node);
  if (l > iFin[node] or r < iDeb[node])
    return;
  if (l <= iDeb[node] and r >= iFin[node]) {
    lazy[node] ^= 1;
    push(node);
    return;
  }
  upd(2 * node, l, r);
  upd(2 * node + 1, l, r);
  pull(node);
}

void setParams(int u) {
  if (childs[u].empty()) {
    cntParams[u] = 1;
    return;
  }
  cntParams[u] = childs[u].size();
  for (int v : childs[u]) {
    setParams(v);
    cntParams[u] = cntParams[u] * cntParams[v] % MOD;
  }
}

void setCoeffs(int u, int bef) {
  if (u >= nbInternes) {
    coeff[u - nbInternes] = bef;
    return;
  }

  int deg = childs[u].size();
  vector<int> prefProd(deg + 1, 1), suffProd(deg + 1, 1);
  for (int i = 0; i < deg; ++i)
    prefProd[i + 1] = prefProd[i] * cntParams[childs[u][i]] % MOD;
  for (int i = deg - 1; i >= 0; --i)
    suffProd[i] = suffProd[i + 1] * cntParams[childs[u][i]] % MOD;

  for (int i = 0; i < deg; ++i)
    setCoeffs(childs[u][i], bef * prefProd[i] % MOD * suffProd[i + 1] % MOD);
}

void init(signed N, signed M, vector<signed> P, std::vector<signed> A) {
  nbInternes = N, nbFeuilles = M;
  int nbSommets = N + M;
  for (int i = 1; i < nbSommets; ++i)
    childs[P[i]].push_back(i);

  setParams(0);
  setCoeffs(0, 1);
  /*for (int i = 0; i < nbFeuilles; ++i)
    cout << coeff[i] << ' ';
  cout << endl;*/
  initSeg(1, 0, nbFeuilles - 1, A);
  // cout << sum[1] << endl;
}

signed count_ways(signed L, signed R) {
  L -= nbInternes, R -= nbInternes;
  upd(1, L, R);
  return sum[1];
}
# Verdict Execution time Memory Grader output
1 Correct 12 ms 23760 KB Output is correct
2 Correct 11 ms 23760 KB Output is correct
3 Correct 12 ms 23888 KB Output is correct
4 Correct 12 ms 23888 KB Output is correct
5 Correct 12 ms 23888 KB Output is correct
6 Correct 12 ms 23888 KB Output is correct
7 Correct 14 ms 23892 KB Output is correct
8 Correct 15 ms 23888 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 12 ms 23760 KB Output is correct
2 Correct 12 ms 23892 KB Output is correct
3 Correct 12 ms 23888 KB Output is correct
4 Correct 14 ms 24016 KB Output is correct
5 Correct 12 ms 23876 KB Output is correct
6 Correct 12 ms 23888 KB Output is correct
7 Correct 12 ms 23888 KB Output is correct
8 Correct 12 ms 23940 KB Output is correct
9 Correct 13 ms 23888 KB Output is correct
10 Correct 13 ms 24188 KB Output is correct
11 Correct 12 ms 24144 KB Output is correct
12 Correct 13 ms 23888 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 12 ms 23760 KB Output is correct
2 Correct 11 ms 23760 KB Output is correct
3 Correct 12 ms 23888 KB Output is correct
4 Correct 12 ms 23888 KB Output is correct
5 Correct 12 ms 23888 KB Output is correct
6 Correct 12 ms 23888 KB Output is correct
7 Correct 14 ms 23892 KB Output is correct
8 Correct 15 ms 23888 KB Output is correct
9 Correct 12 ms 23760 KB Output is correct
10 Correct 12 ms 23892 KB Output is correct
11 Correct 12 ms 23888 KB Output is correct
12 Correct 14 ms 24016 KB Output is correct
13 Correct 12 ms 23876 KB Output is correct
14 Correct 12 ms 23888 KB Output is correct
15 Correct 12 ms 23888 KB Output is correct
16 Correct 12 ms 23940 KB Output is correct
17 Correct 13 ms 23888 KB Output is correct
18 Correct 13 ms 24188 KB Output is correct
19 Correct 12 ms 24144 KB Output is correct
20 Correct 13 ms 23888 KB Output is correct
21 Correct 12 ms 23880 KB Output is correct
22 Correct 14 ms 23856 KB Output is correct
23 Correct 14 ms 23900 KB Output is correct
24 Correct 14 ms 23888 KB Output is correct
25 Correct 13 ms 24004 KB Output is correct
26 Correct 13 ms 23896 KB Output is correct
27 Correct 12 ms 24004 KB Output is correct
28 Correct 13 ms 23936 KB Output is correct
29 Correct 12 ms 23888 KB Output is correct
30 Correct 12 ms 23888 KB Output is correct
31 Correct 13 ms 24016 KB Output is correct
32 Correct 12 ms 24000 KB Output is correct
33 Correct 14 ms 23952 KB Output is correct
34 Correct 13 ms 23888 KB Output is correct
35 Correct 12 ms 23888 KB Output is correct
36 Correct 13 ms 24144 KB Output is correct
37 Correct 13 ms 24144 KB Output is correct
38 Correct 13 ms 24144 KB Output is correct
39 Correct 12 ms 23960 KB Output is correct
40 Correct 13 ms 23888 KB Output is correct
41 Correct 13 ms 23888 KB Output is correct
42 Correct 15 ms 23980 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 658 ms 28368 KB Output is correct
2 Correct 943 ms 33044 KB Output is correct
3 Correct 926 ms 33032 KB Output is correct
4 Correct 988 ms 33080 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 658 ms 28368 KB Output is correct
2 Correct 943 ms 33044 KB Output is correct
3 Correct 926 ms 33032 KB Output is correct
4 Correct 988 ms 33080 KB Output is correct
5 Correct 684 ms 28640 KB Output is correct
6 Correct 973 ms 33352 KB Output is correct
7 Correct 905 ms 33232 KB Output is correct
8 Correct 870 ms 32968 KB Output is correct
9 Correct 360 ms 24164 KB Output is correct
10 Correct 933 ms 24488 KB Output is correct
11 Correct 686 ms 24428 KB Output is correct
12 Correct 863 ms 24300 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 12 ms 23760 KB Output is correct
2 Correct 12 ms 23892 KB Output is correct
3 Correct 12 ms 23888 KB Output is correct
4 Correct 14 ms 24016 KB Output is correct
5 Correct 12 ms 23876 KB Output is correct
6 Correct 12 ms 23888 KB Output is correct
7 Correct 12 ms 23888 KB Output is correct
8 Correct 12 ms 23940 KB Output is correct
9 Correct 13 ms 23888 KB Output is correct
10 Correct 13 ms 24188 KB Output is correct
11 Correct 12 ms 24144 KB Output is correct
12 Correct 13 ms 23888 KB Output is correct
13 Correct 658 ms 28368 KB Output is correct
14 Correct 943 ms 33044 KB Output is correct
15 Correct 926 ms 33032 KB Output is correct
16 Correct 988 ms 33080 KB Output is correct
17 Correct 684 ms 28640 KB Output is correct
18 Correct 973 ms 33352 KB Output is correct
19 Correct 905 ms 33232 KB Output is correct
20 Correct 870 ms 32968 KB Output is correct
21 Correct 360 ms 24164 KB Output is correct
22 Correct 933 ms 24488 KB Output is correct
23 Correct 686 ms 24428 KB Output is correct
24 Correct 863 ms 24300 KB Output is correct
25 Correct 1008 ms 40644 KB Output is correct
26 Correct 920 ms 40772 KB Output is correct
27 Correct 991 ms 40772 KB Output is correct
28 Correct 738 ms 39916 KB Output is correct
29 Correct 968 ms 59544 KB Output is correct
30 Correct 907 ms 58724 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 12 ms 23760 KB Output is correct
2 Correct 11 ms 23760 KB Output is correct
3 Correct 12 ms 23888 KB Output is correct
4 Correct 12 ms 23888 KB Output is correct
5 Correct 12 ms 23888 KB Output is correct
6 Correct 12 ms 23888 KB Output is correct
7 Correct 14 ms 23892 KB Output is correct
8 Correct 15 ms 23888 KB Output is correct
9 Correct 12 ms 23760 KB Output is correct
10 Correct 12 ms 23892 KB Output is correct
11 Correct 12 ms 23888 KB Output is correct
12 Correct 14 ms 24016 KB Output is correct
13 Correct 12 ms 23876 KB Output is correct
14 Correct 12 ms 23888 KB Output is correct
15 Correct 12 ms 23888 KB Output is correct
16 Correct 12 ms 23940 KB Output is correct
17 Correct 13 ms 23888 KB Output is correct
18 Correct 13 ms 24188 KB Output is correct
19 Correct 12 ms 24144 KB Output is correct
20 Correct 13 ms 23888 KB Output is correct
21 Correct 12 ms 23880 KB Output is correct
22 Correct 14 ms 23856 KB Output is correct
23 Correct 14 ms 23900 KB Output is correct
24 Correct 14 ms 23888 KB Output is correct
25 Correct 13 ms 24004 KB Output is correct
26 Correct 13 ms 23896 KB Output is correct
27 Correct 12 ms 24004 KB Output is correct
28 Correct 13 ms 23936 KB Output is correct
29 Correct 12 ms 23888 KB Output is correct
30 Correct 12 ms 23888 KB Output is correct
31 Correct 13 ms 24016 KB Output is correct
32 Correct 12 ms 24000 KB Output is correct
33 Correct 14 ms 23952 KB Output is correct
34 Correct 13 ms 23888 KB Output is correct
35 Correct 12 ms 23888 KB Output is correct
36 Correct 13 ms 24144 KB Output is correct
37 Correct 13 ms 24144 KB Output is correct
38 Correct 13 ms 24144 KB Output is correct
39 Correct 12 ms 23960 KB Output is correct
40 Correct 13 ms 23888 KB Output is correct
41 Correct 13 ms 23888 KB Output is correct
42 Correct 15 ms 23980 KB Output is correct
43 Correct 577 ms 24400 KB Output is correct
44 Correct 772 ms 24436 KB Output is correct
45 Correct 911 ms 24400 KB Output is correct
46 Correct 652 ms 24784 KB Output is correct
47 Correct 937 ms 24792 KB Output is correct
48 Correct 848 ms 24884 KB Output is correct
49 Correct 833 ms 24912 KB Output is correct
50 Correct 679 ms 24788 KB Output is correct
51 Correct 772 ms 24776 KB Output is correct
52 Correct 937 ms 24764 KB Output is correct
53 Correct 582 ms 24948 KB Output is correct
54 Correct 1002 ms 24824 KB Output is correct
55 Correct 917 ms 24784 KB Output is correct
56 Correct 926 ms 24656 KB Output is correct
57 Correct 933 ms 24688 KB Output is correct
58 Correct 1000 ms 25808 KB Output is correct
59 Correct 963 ms 25808 KB Output is correct
60 Correct 802 ms 25800 KB Output is correct
61 Correct 663 ms 24528 KB Output is correct
62 Correct 916 ms 24272 KB Output is correct
63 Correct 770 ms 24400 KB Output is correct
64 Correct 830 ms 24656 KB Output is correct
65 Correct 484 ms 24072 KB Output is correct
66 Correct 818 ms 24452 KB Output is correct
67 Correct 901 ms 24460 KB Output is correct
68 Correct 926 ms 24400 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 12 ms 23760 KB Output is correct
2 Correct 11 ms 23760 KB Output is correct
3 Correct 12 ms 23888 KB Output is correct
4 Correct 12 ms 23888 KB Output is correct
5 Correct 12 ms 23888 KB Output is correct
6 Correct 12 ms 23888 KB Output is correct
7 Correct 14 ms 23892 KB Output is correct
8 Correct 15 ms 23888 KB Output is correct
9 Correct 12 ms 23760 KB Output is correct
10 Correct 12 ms 23892 KB Output is correct
11 Correct 12 ms 23888 KB Output is correct
12 Correct 14 ms 24016 KB Output is correct
13 Correct 12 ms 23876 KB Output is correct
14 Correct 12 ms 23888 KB Output is correct
15 Correct 12 ms 23888 KB Output is correct
16 Correct 12 ms 23940 KB Output is correct
17 Correct 13 ms 23888 KB Output is correct
18 Correct 13 ms 24188 KB Output is correct
19 Correct 12 ms 24144 KB Output is correct
20 Correct 13 ms 23888 KB Output is correct
21 Correct 12 ms 23880 KB Output is correct
22 Correct 14 ms 23856 KB Output is correct
23 Correct 14 ms 23900 KB Output is correct
24 Correct 14 ms 23888 KB Output is correct
25 Correct 13 ms 24004 KB Output is correct
26 Correct 13 ms 23896 KB Output is correct
27 Correct 12 ms 24004 KB Output is correct
28 Correct 13 ms 23936 KB Output is correct
29 Correct 12 ms 23888 KB Output is correct
30 Correct 12 ms 23888 KB Output is correct
31 Correct 13 ms 24016 KB Output is correct
32 Correct 12 ms 24000 KB Output is correct
33 Correct 14 ms 23952 KB Output is correct
34 Correct 13 ms 23888 KB Output is correct
35 Correct 12 ms 23888 KB Output is correct
36 Correct 13 ms 24144 KB Output is correct
37 Correct 13 ms 24144 KB Output is correct
38 Correct 13 ms 24144 KB Output is correct
39 Correct 12 ms 23960 KB Output is correct
40 Correct 13 ms 23888 KB Output is correct
41 Correct 13 ms 23888 KB Output is correct
42 Correct 15 ms 23980 KB Output is correct
43 Correct 658 ms 28368 KB Output is correct
44 Correct 943 ms 33044 KB Output is correct
45 Correct 926 ms 33032 KB Output is correct
46 Correct 988 ms 33080 KB Output is correct
47 Correct 684 ms 28640 KB Output is correct
48 Correct 973 ms 33352 KB Output is correct
49 Correct 905 ms 33232 KB Output is correct
50 Correct 870 ms 32968 KB Output is correct
51 Correct 360 ms 24164 KB Output is correct
52 Correct 933 ms 24488 KB Output is correct
53 Correct 686 ms 24428 KB Output is correct
54 Correct 863 ms 24300 KB Output is correct
55 Correct 1008 ms 40644 KB Output is correct
56 Correct 920 ms 40772 KB Output is correct
57 Correct 991 ms 40772 KB Output is correct
58 Correct 738 ms 39916 KB Output is correct
59 Correct 968 ms 59544 KB Output is correct
60 Correct 907 ms 58724 KB Output is correct
61 Correct 577 ms 24400 KB Output is correct
62 Correct 772 ms 24436 KB Output is correct
63 Correct 911 ms 24400 KB Output is correct
64 Correct 652 ms 24784 KB Output is correct
65 Correct 937 ms 24792 KB Output is correct
66 Correct 848 ms 24884 KB Output is correct
67 Correct 833 ms 24912 KB Output is correct
68 Correct 679 ms 24788 KB Output is correct
69 Correct 772 ms 24776 KB Output is correct
70 Correct 937 ms 24764 KB Output is correct
71 Correct 582 ms 24948 KB Output is correct
72 Correct 1002 ms 24824 KB Output is correct
73 Correct 917 ms 24784 KB Output is correct
74 Correct 926 ms 24656 KB Output is correct
75 Correct 933 ms 24688 KB Output is correct
76 Correct 1000 ms 25808 KB Output is correct
77 Correct 963 ms 25808 KB Output is correct
78 Correct 802 ms 25800 KB Output is correct
79 Correct 663 ms 24528 KB Output is correct
80 Correct 916 ms 24272 KB Output is correct
81 Correct 770 ms 24400 KB Output is correct
82 Correct 830 ms 24656 KB Output is correct
83 Correct 484 ms 24072 KB Output is correct
84 Correct 818 ms 24452 KB Output is correct
85 Correct 901 ms 24460 KB Output is correct
86 Correct 926 ms 24400 KB Output is correct
87 Correct 12 ms 23760 KB Output is correct
88 Correct 639 ms 40556 KB Output is correct
89 Correct 1100 ms 33528 KB Output is correct
90 Correct 989 ms 33564 KB Output is correct
91 Correct 1074 ms 40872 KB Output is correct
92 Correct 1271 ms 41396 KB Output is correct
93 Correct 1027 ms 41524 KB Output is correct
94 Correct 993 ms 41380 KB Output is correct
95 Correct 1062 ms 40420 KB Output is correct
96 Correct 1026 ms 35996 KB Output is correct
97 Correct 958 ms 37444 KB Output is correct
98 Correct 866 ms 47208 KB Output is correct
99 Correct 1081 ms 40772 KB Output is correct
100 Correct 1050 ms 39700 KB Output is correct
101 Correct 957 ms 38904 KB Output is correct
102 Correct 959 ms 37520 KB Output is correct
103 Correct 1194 ms 59544 KB Output is correct
104 Correct 980 ms 60328 KB Output is correct
105 Correct 1141 ms 59408 KB Output is correct
106 Correct 1102 ms 37628 KB Output is correct
107 Correct 1004 ms 37832 KB Output is correct
108 Correct 868 ms 38060 KB Output is correct
109 Correct 1010 ms 37708 KB Output is correct