Submission #1020180

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
1020180	2024-07-11T16:25:39 Z	avighna	Strange Device (APIO19_strange_device)	C++17	100 / 100	634 ms	116020 KB

strange_device

#include <bits/stdc++.h>

typedef long long ll;

int main() {
  std::ios_base::sync_with_stdio(false);
  std::cin.tie(nullptr);

  ll n, a, b;
  std::cin >> n >> a >> b;

  if (true) {
    // (2x % a, 0)
    // 2x % a == 0
    // if a is odd, then the cycle is of length a (the 2 will never
    // contribute)
    // if a is even, then the cycle of of length a/2
    ll cycle = a % 2 == 0 ? a / 2 : a;
    if (b != 0) {
      // w (B + 1) mod A = 0
      if (b / std::gcd(a, b + 1) >= (ll(1e18) + 1) / a) {
        cycle = ll(1e18) + 1;
      } else {
        cycle = a / std::gcd(a, b + 1) * b;
      }
    }
    std::vector<std::pair<ll, ll>> ranges;
    std::map<ll, ll> mp;
    while (n--) {
      ll l, r;
      std::cin >> l >> r;
      ll _l = l % cycle, _r = r % cycle;
      if (r - l + 1 >= cycle) {
        std::cout << cycle << "\n";
        return 0;
      }
      if (_l > _r) {
        ranges.push_back({_l, cycle - 1});
        ranges.push_back({0, _r});
      } else {
        ranges.push_back({_l, _r});
      }
    }
    for (auto &[l, r] : ranges) {
      mp[l] = std::max(mp[l], r);
    }
    ll right = 0;
    ll ans = 0;
    for (auto &i : mp) {
      if (i.second < right) {
        continue;
      }
      right = std::max(right, i.first);
      ans += i.second - right + 1;
      right = i.second + 1;
    }
    std::cout << ans << "\n";
    return 0;
  }

  std::set<std::pair<ll, ll>> st;
  while (n--) {
    ll l, r;
    std::cin >> l >> r;
    for (ll x = l; x <= r; ++x) {
      st.insert({(x + x / b) % a, x % b});
      //   std::cout << "(" << (x + x / b) % a << " " << x % b << "), ";
      //   std::cout << st.size() << "\n";
    }
  }
  std::cout << st.size() << "\n";
}

Subtask #1
10.0 / 10.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	348 KB	Output is correct
2	Correct	7 ms	1504 KB	Output is correct
3	Correct	7 ms	1504 KB	Output is correct
4	Correct	1 ms	348 KB	Output is correct
5	Correct	0 ms	348 KB	Output is correct
6	Correct	1 ms	344 KB	Output is correct
7	Correct	1 ms	348 KB	Output is correct
8	Correct	1 ms	348 KB	Output is correct
9	Correct	0 ms	348 KB	Output is correct
10	Correct	0 ms	348 KB	Output is correct
11	Correct	1 ms	348 KB	Output is correct
12	Correct	0 ms	452 KB	Output is correct
13	Correct	1 ms	344 KB	Output is correct
14	Correct	0 ms	348 KB	Output is correct
15	Correct	1 ms	348 KB	Output is correct
16	Correct	4 ms	1572 KB	Output is correct
17	Correct	63 ms	10924 KB	Output is correct
18	Correct	0 ms	600 KB	Output is correct

Subtask #2
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	348 KB	Output is correct
2	Correct	0 ms	452 KB	Output is correct
3	Correct	1 ms	348 KB	Output is correct
4	Correct	1 ms	348 KB	Output is correct
5	Correct	1 ms	348 KB	Output is correct

Subtask #3
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	344 KB	Output is correct
2	Correct	1 ms	348 KB	Output is correct
3	Correct	1 ms	468 KB	Output is correct
4	Correct	1 ms	348 KB	Output is correct
5	Correct	241 ms	29916 KB	Output is correct

Subtask #4
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	344 KB	Output is correct
2	Correct	568 ms	97260 KB	Output is correct
3	Correct	539 ms	97364 KB	Output is correct
4	Correct	570 ms	97292 KB	Output is correct

Subtask #5
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	344 KB	Output is correct
2	Correct	568 ms	97260 KB	Output is correct
3	Correct	539 ms	97364 KB	Output is correct
4	Correct	570 ms	97292 KB	Output is correct
5	Correct	1 ms	348 KB	Output is correct
6	Correct	551 ms	115692 KB	Output is correct
7	Correct	541 ms	115724 KB	Output is correct
8	Correct	527 ms	115748 KB	Output is correct
9	Correct	584 ms	116020 KB	Output is correct

Subtask #6
20.0 / 20.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	344 KB	Output is correct
2	Correct	568 ms	97260 KB	Output is correct
3	Correct	539 ms	97364 KB	Output is correct
4	Correct	570 ms	97292 KB	Output is correct
5	Correct	1 ms	344 KB	Output is correct
6	Correct	38 ms	10084 KB	Output is correct
7	Correct	42 ms	11772 KB	Output is correct
8	Correct	40 ms	11960 KB	Output is correct
9	Correct	65 ms	11784 KB	Output is correct
10	Correct	52 ms	11972 KB	Output is correct
11	Correct	38 ms	11832 KB	Output is correct
12	Correct	41 ms	11808 KB	Output is correct
13	Correct	51 ms	11972 KB	Output is correct
14	Correct	47 ms	11828 KB	Output is correct
15	Correct	49 ms	11980 KB	Output is correct
16	Correct	52 ms	11764 KB	Output is correct
17	Correct	55 ms	11992 KB	Output is correct
18	Correct	559 ms	115900 KB	Output is correct
19	Correct	505 ms	115840 KB	Output is correct
20	Correct	575 ms	115764 KB	Output is correct
21	Correct	52 ms	11976 KB	Output is correct
22	Correct	47 ms	11972 KB	Output is correct
23	Correct	79 ms	20096 KB	Output is correct

Subtask #7
20.0 / 20.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	344 KB	Output is correct
2	Correct	48 ms	10184 KB	Output is correct
3	Correct	56 ms	10276 KB	Output is correct
4	Correct	550 ms	115824 KB	Output is correct
5	Correct	47 ms	11848 KB	Output is correct
6	Correct	72 ms	11972 KB	Output is correct
7	Correct	69 ms	11972 KB	Output is correct
8	Correct	70 ms	11976 KB	Output is correct
9	Correct	54 ms	11972 KB	Output is correct
10	Correct	42 ms	11976 KB	Output is correct
11	Correct	49 ms	11844 KB	Output is correct
12	Correct	44 ms	11912 KB	Output is correct
13	Correct	61 ms	12236 KB	Output is correct
14	Correct	634 ms	115884 KB	Output is correct
15	Correct	40 ms	11984 KB	Output is correct
16	Correct	517 ms	115876 KB	Output is correct
17	Correct	500 ms	115768 KB	Output is correct
18	Correct	0 ms	348 KB	Output is correct

Subtask #8
30.0 / 30.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	348 KB	Output is correct
2	Correct	7 ms	1504 KB	Output is correct
3	Correct	7 ms	1504 KB	Output is correct
4	Correct	1 ms	348 KB	Output is correct
5	Correct	0 ms	348 KB	Output is correct
6	Correct	1 ms	344 KB	Output is correct
7	Correct	1 ms	348 KB	Output is correct
8	Correct	1 ms	348 KB	Output is correct
9	Correct	0 ms	348 KB	Output is correct
10	Correct	0 ms	348 KB	Output is correct
11	Correct	1 ms	348 KB	Output is correct
12	Correct	0 ms	452 KB	Output is correct
13	Correct	1 ms	344 KB	Output is correct
14	Correct	0 ms	348 KB	Output is correct
15	Correct	1 ms	348 KB	Output is correct
16	Correct	4 ms	1572 KB	Output is correct
17	Correct	63 ms	10924 KB	Output is correct
18	Correct	0 ms	600 KB	Output is correct
19	Correct	1 ms	348 KB	Output is correct
20	Correct	0 ms	452 KB	Output is correct
21	Correct	1 ms	348 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	344 KB	Output is correct
25	Correct	1 ms	348 KB	Output is correct
26	Correct	1 ms	468 KB	Output is correct
27	Correct	1 ms	348 KB	Output is correct
28	Correct	241 ms	29916 KB	Output is correct
29	Correct	0 ms	344 KB	Output is correct
30	Correct	568 ms	97260 KB	Output is correct
31	Correct	539 ms	97364 KB	Output is correct
32	Correct	570 ms	97292 KB	Output is correct
33	Correct	1 ms	348 KB	Output is correct
34	Correct	551 ms	115692 KB	Output is correct
35	Correct	541 ms	115724 KB	Output is correct
36	Correct	527 ms	115748 KB	Output is correct
37	Correct	584 ms	116020 KB	Output is correct
38	Correct	1 ms	344 KB	Output is correct
39	Correct	38 ms	10084 KB	Output is correct
40	Correct	42 ms	11772 KB	Output is correct
41	Correct	40 ms	11960 KB	Output is correct
42	Correct	65 ms	11784 KB	Output is correct
43	Correct	52 ms	11972 KB	Output is correct
44	Correct	38 ms	11832 KB	Output is correct
45	Correct	41 ms	11808 KB	Output is correct
46	Correct	51 ms	11972 KB	Output is correct
47	Correct	47 ms	11828 KB	Output is correct
48	Correct	49 ms	11980 KB	Output is correct
49	Correct	52 ms	11764 KB	Output is correct
50	Correct	55 ms	11992 KB	Output is correct
51	Correct	559 ms	115900 KB	Output is correct
52	Correct	505 ms	115840 KB	Output is correct
53	Correct	575 ms	115764 KB	Output is correct
54	Correct	52 ms	11976 KB	Output is correct
55	Correct	47 ms	11972 KB	Output is correct
56	Correct	79 ms	20096 KB	Output is correct
57	Correct	1 ms	344 KB	Output is correct
58	Correct	48 ms	10184 KB	Output is correct
59	Correct	56 ms	10276 KB	Output is correct
60	Correct	550 ms	115824 KB	Output is correct
61	Correct	47 ms	11848 KB	Output is correct
62	Correct	72 ms	11972 KB	Output is correct
63	Correct	69 ms	11972 KB	Output is correct
64	Correct	70 ms	11976 KB	Output is correct
65	Correct	54 ms	11972 KB	Output is correct
66	Correct	42 ms	11976 KB	Output is correct
67	Correct	49 ms	11844 KB	Output is correct
68	Correct	44 ms	11912 KB	Output is correct
69	Correct	61 ms	12236 KB	Output is correct
70	Correct	634 ms	115884 KB	Output is correct
71	Correct	40 ms	11984 KB	Output is correct
72	Correct	517 ms	115876 KB	Output is correct
73	Correct	500 ms	115768 KB	Output is correct
74	Correct	0 ms	348 KB	Output is correct
75	Correct	0 ms	344 KB	Output is correct
76	Correct	0 ms	348 KB	Output is correct
77	Correct	0 ms	348 KB	Output is correct
78	Correct	0 ms	348 KB	Output is correct
79	Correct	4 ms	1504 KB	Output is correct
80	Correct	566 ms	115880 KB	Output is correct
81	Correct	599 ms	115900 KB	Output is correct
82	Correct	611 ms	115868 KB	Output is correct
83	Correct	577 ms	115868 KB	Output is correct
84	Correct	622 ms	115792 KB	Output is correct
85	Correct	544 ms	115800 KB	Output is correct
86	Correct	81 ms	18448 KB	Output is correct
87	Correct	0 ms	348 KB	Output is correct

Submission #1020180

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