oj.uz

Submission #627200

# Submission time Handle Problem Language Result Execution time Memory
627200 2022-08-12T11:19:58 Z model_code Digital Circuit (IOI22_circuit) C++17
100 / 100
 1417 ms 25464 KB 
// correct/solution-prabowo-inverse.cpp
// O(N + M log MOD + Q log M)

#include "circuit.h"

#include <functional>
#include <utility>
#include <vector>

const int kMod = 1000002022;
const int kPhiMod = kMod / 2 / 223 * 222 / 2242157 * 2242156;

int power(int x, int y) {
  int result = 1;
  for (; y > 0; y >>= 1) {
    if (y & 1) {
      result = static_cast<long long>(result) * x % kMod;
    }
    x = static_cast<long long>(x) * x % kMod;
  }
  return result;
}

struct Z {
  int c, e2, e223;
  Z(int val=1) {
    e2 = 0, e223 = 0, c = val;
    while (c % 2 == 0) {
      ++e2;
      c /= 2;
    }
    while (c % 223 == 0) {
      ++e223;
      c /= 223;
    }
  }
  Z& operator *= (const Z &rhs) {
    c = static_cast<long long>(c) * rhs.c % kMod;
    e2 += rhs.e2;
    e223 += rhs.e223;
    return *this;
  }
  friend Z operator / (Z lhs, Z rhs) {
    lhs.c = static_cast<long long>(lhs.c) * power(rhs.c, kPhiMod - 1) % kMod;
    lhs.e2 -= rhs.e2;
    lhs.e223 -= rhs.e223;
    return lhs;
  }
  int value() {
    return static_cast<long long>(c) *
        power(2, e2) % kMod * power(223, e223) % kMod;
  }
};

int N;

struct SegTree {
 private:
  int n;
  struct Node {
    int val[2];
    bool lazy;
    Node(int v0=0, int v1=0) {
      val[0] = v0;
      val[1] = v1;
      lazy = false;
    }

    Node operator + (const Node &other) {
      return Node((val[0] + other.val[0]) % kMod,
                  (val[1] + other.val[1]) % kMod);
    }
  };
  std::vector<Node> nodes;

  inline void toggle(int idx) {
    std::swap(nodes[idx].val[0], nodes[idx].val[1]);
    nodes[idx].lazy = !nodes[idx].lazy;
  }

  inline void pull(int idx, int l, int r) {
    int mid = (l + r) >> 1;
    nodes[idx] = nodes[idx + 1] + nodes[idx + (mid - l) * 2];
  }

  inline void push(int idx, int l, int r) {
    if (!nodes[idx].lazy) return;
    int mid = (l + r) >> 1;
    toggle(idx + 1);
    toggle(idx + (mid - l) * 2);
    nodes[idx].lazy = false;
  }

  void build(int idx, int l, int r, const std::vector<std::pair<int, int>> &v) {
    if (l + 1 == r) {
      nodes[idx] = Node(v[l].first, v[l].second);
      return;
    }
    int mid = (l + r) >> 1;
    build(idx + 1, l, mid, v);
    build(idx + (mid - l) * 2, mid, r, v);
    pull(idx, l, r);
  }

  void update(int idx, int l, int r, int ll, int rr) {
    if (l >= rr || r <= ll) {
      return;
    }
    if (l >= ll && r <= rr) {
      return toggle(idx);
    }
    push(idx, l, r);
    int mid = (l + r) >> 1;
    update(idx + 1, l, mid, ll, rr);
    update(idx + (mid - l) * 2, mid, r, ll, rr);
    pull(idx, l, r);
  }

 public:
  void init(const std::vector<std::pair<int, int>> &v) {
    n = static_cast<int>(v.size());
    nodes.resize(2 * n - 1);
    build(0, 0, n, v);
  }

  void update(int l, int r) {
    update(0, 0, n, l, r);
  }

  int query() {
    return nodes[0].val[1];
  }
} segtree;

void init(int _N, int M, std::vector<int> P, std::vector<int> A) {
  N = _N;
  std::vector<std::vector<int>> adj(N + M);
  for (int i = 1; i < N + M; ++i) {
    adj[P[i]].push_back(i);
  }

  Z product;
  for (int i = 0; i < N; ++i) {
    product *= Z(static_cast<int>(adj[i].size()));
  }

  std::vector<int> contribution(M);
  std::function<void(int, Z)> dfs = [&](int u, Z path) {
    if (u >= N) {
      contribution[u - N] = (product / path).value();
      return;
    }
    path *= Z(static_cast<int>(adj[u].size()));
    for (int v : adj[u]) {
      dfs(v, path);
    }
  };
  dfs(0, Z());

  std::vector<std::pair<int, int>> v(M);
  for (int i = 0; i < M; ++i) {
    if (A[i]) {
      v[i].second = contribution[i];
    } else {
      v[i].first = contribution[i];
    }
  }
  segtree.init(v);
}

int count_ways(int L, int R) {
  segtree.update(L - N, R - N + 1);
  return segtree.query();
}

Subtask #1
2.0 / 2.0

# 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 368 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 380 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 220 KB Output is correct
2 Correct 0 ms 220 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 384 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 348 KB Output is correct
10 Correct 1 ms 476 KB Output is correct
11 Correct 1 ms 476 KB Output is correct
12 Correct 1 ms 348 KB Output is correct

Subtask #3
9.0 / 9.0

# 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 368 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 380 KB Output is correct
9 Correct 0 ms 220 KB Output is correct
10 Correct 0 ms 220 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 384 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 348 KB Output is correct
18 Correct 1 ms 476 KB Output is correct
19 Correct 1 ms 476 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 352 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 384 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 1 ms 384 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 2 ms 348 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 1 ms 352 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 1 ms 348 KB Output is correct
34 Correct 1 ms 348 KB Output is correct
35 Correct 1 ms 348 KB Output is correct
36 Correct 1 ms 476 KB Output is correct
37 Correct 1 ms 476 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 368 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 652 ms 4776 KB Output is correct
2 Correct 1084 ms 9300 KB Output is correct
3 Correct 790 ms 9268 KB Output is correct
4 Correct 1159 ms 9336 KB Output is correct

Subtask #5
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 652 ms 4776 KB Output is correct
2 Correct 1084 ms 9300 KB Output is correct
3 Correct 790 ms 9268 KB Output is correct
4 Correct 1159 ms 9336 KB Output is correct
5 Correct 890 ms 4748 KB Output is correct
6 Correct 886 ms 9264 KB Output is correct
7 Correct 970 ms 9260 KB Output is correct
8 Correct 1209 ms 9328 KB Output is correct
9 Correct 491 ms 568 KB Output is correct
10 Correct 1274 ms 848 KB Output is correct
11 Correct 987 ms 832 KB Output is correct
12 Correct 834 ms 720 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 220 KB Output is correct
2 Correct 0 ms 220 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 384 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 348 KB Output is correct
10 Correct 1 ms 476 KB Output is correct
11 Correct 1 ms 476 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 652 ms 4776 KB Output is correct
14 Correct 1084 ms 9300 KB Output is correct
15 Correct 790 ms 9268 KB Output is correct
16 Correct 1159 ms 9336 KB Output is correct
17 Correct 890 ms 4748 KB Output is correct
18 Correct 886 ms 9264 KB Output is correct
19 Correct 970 ms 9260 KB Output is correct
20 Correct 1209 ms 9328 KB Output is correct
21 Correct 491 ms 568 KB Output is correct
22 Correct 1274 ms 848 KB Output is correct
23 Correct 987 ms 832 KB Output is correct
24 Correct 834 ms 720 KB Output is correct
25 Correct 1121 ms 13736 KB Output is correct
26 Correct 1116 ms 13984 KB Output is correct
27 Correct 1120 ms 13920 KB Output is correct
28 Correct 1018 ms 13864 KB Output is correct
29 Correct 1046 ms 24900 KB Output is correct
30 Correct 1124 ms 24872 KB Output is correct

Subtask #7
28.0 / 28.0

# 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 368 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 380 KB Output is correct
9 Correct 0 ms 220 KB Output is correct
10 Correct 0 ms 220 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 384 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 348 KB Output is correct
18 Correct 1 ms 476 KB Output is correct
19 Correct 1 ms 476 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 352 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 384 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 1 ms 384 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 2 ms 348 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 1 ms 352 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 1 ms 348 KB Output is correct
34 Correct 1 ms 348 KB Output is correct
35 Correct 1 ms 348 KB Output is correct
36 Correct 1 ms 476 KB Output is correct
37 Correct 1 ms 476 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 368 KB Output is correct
43 Correct 787 ms 640 KB Output is correct
44 Correct 1096 ms 772 KB Output is correct
45 Correct 1034 ms 592 KB Output is correct
46 Correct 1098 ms 976 KB Output is correct
47 Correct 865 ms 1024 KB Output is correct
48 Correct 1000 ms 976 KB Output is correct
49 Correct 1025 ms 1004 KB Output is correct
50 Correct 715 ms 1004 KB Output is correct
51 Correct 1151 ms 672 KB Output is correct
52 Correct 999 ms 672 KB Output is correct
53 Correct 549 ms 1104 KB Output is correct
54 Correct 987 ms 1024 KB Output is correct
55 Correct 952 ms 720 KB Output is correct
56 Correct 1079 ms 768 KB Output is correct
57 Correct 991 ms 656 KB Output is correct
58 Correct 782 ms 1500 KB Output is correct
59 Correct 949 ms 1428 KB Output is correct
60 Correct 1056 ms 1488 KB Output is correct
61 Correct 927 ms 764 KB Output is correct
62 Correct 748 ms 656 KB Output is correct
63 Correct 972 ms 644 KB Output is correct
64 Correct 811 ms 664 KB Output is correct
65 Correct 593 ms 556 KB Output is correct
66 Correct 883 ms 848 KB Output is correct
67 Correct 1149 ms 844 KB Output is correct
68 Correct 944 ms 848 KB Output is correct

Subtask #8
11.0 / 11.0

# 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 368 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 380 KB Output is correct
9 Correct 0 ms 220 KB Output is correct
10 Correct 0 ms 220 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 384 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 348 KB Output is correct
18 Correct 1 ms 476 KB Output is correct
19 Correct 1 ms 476 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 352 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 384 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 1 ms 384 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 2 ms 348 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 1 ms 352 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 1 ms 348 KB Output is correct
34 Correct 1 ms 348 KB Output is correct
35 Correct 1 ms 348 KB Output is correct
36 Correct 1 ms 476 KB Output is correct
37 Correct 1 ms 476 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 368 KB Output is correct
43 Correct 652 ms 4776 KB Output is correct
44 Correct 1084 ms 9300 KB Output is correct
45 Correct 790 ms 9268 KB Output is correct
46 Correct 1159 ms 9336 KB Output is correct
47 Correct 890 ms 4748 KB Output is correct
48 Correct 886 ms 9264 KB Output is correct
49 Correct 970 ms 9260 KB Output is correct
50 Correct 1209 ms 9328 KB Output is correct
51 Correct 491 ms 568 KB Output is correct
52 Correct 1274 ms 848 KB Output is correct
53 Correct 987 ms 832 KB Output is correct
54 Correct 834 ms 720 KB Output is correct
55 Correct 1121 ms 13736 KB Output is correct
56 Correct 1116 ms 13984 KB Output is correct
57 Correct 1120 ms 13920 KB Output is correct
58 Correct 1018 ms 13864 KB Output is correct
59 Correct 1046 ms 24900 KB Output is correct
60 Correct 1124 ms 24872 KB Output is correct
61 Correct 787 ms 640 KB Output is correct
62 Correct 1096 ms 772 KB Output is correct
63 Correct 1034 ms 592 KB Output is correct
64 Correct 1098 ms 976 KB Output is correct
65 Correct 865 ms 1024 KB Output is correct
66 Correct 1000 ms 976 KB Output is correct
67 Correct 1025 ms 1004 KB Output is correct
68 Correct 715 ms 1004 KB Output is correct
69 Correct 1151 ms 672 KB Output is correct
70 Correct 999 ms 672 KB Output is correct
71 Correct 549 ms 1104 KB Output is correct
72 Correct 987 ms 1024 KB Output is correct
73 Correct 952 ms 720 KB Output is correct
74 Correct 1079 ms 768 KB Output is correct
75 Correct 991 ms 656 KB Output is correct
76 Correct 782 ms 1500 KB Output is correct
77 Correct 949 ms 1428 KB Output is correct
78 Correct 1056 ms 1488 KB Output is correct
79 Correct 927 ms 764 KB Output is correct
80 Correct 748 ms 656 KB Output is correct
81 Correct 972 ms 644 KB Output is correct
82 Correct 811 ms 664 KB Output is correct
83 Correct 593 ms 556 KB Output is correct
84 Correct 883 ms 848 KB Output is correct
85 Correct 1149 ms 844 KB Output is correct
86 Correct 944 ms 848 KB Output is correct
87 Correct 0 ms 208 KB Output is correct
88 Correct 433 ms 12308 KB Output is correct
89 Correct 1208 ms 8768 KB Output is correct
90 Correct 999 ms 8652 KB Output is correct
91 Correct 1111 ms 13968 KB Output is correct
92 Correct 974 ms 14036 KB Output is correct
93 Correct 764 ms 14036 KB Output is correct
94 Correct 1275 ms 14032 KB Output is correct
95 Correct 1020 ms 14040 KB Output is correct
96 Correct 1154 ms 8176 KB Output is correct
97 Correct 1417 ms 8220 KB Output is correct
98 Correct 898 ms 17432 KB Output is correct
99 Correct 1072 ms 13892 KB Output is correct
100 Correct 937 ms 10768 KB Output is correct
101 Correct 1012 ms 9788 KB Output is correct
102 Correct 1058 ms 8204 KB Output is correct
103 Correct 1251 ms 24912 KB Output is correct
104 Correct 1064 ms 25396 KB Output is correct
105 Correct 1041 ms 25464 KB Output is correct
106 Correct 900 ms 10572 KB Output is correct
107 Correct 1047 ms 7784 KB Output is correct
108 Correct 1151 ms 8048 KB Output is correct
109 Correct 1058 ms 8240 KB Output is correct