Submission #191343

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
191343	2020-01-14T19:13:42 Z	AlexPop28	Strange Device (APIO19_strange_device)	C++11	100 / 100	710 ms	69020 KB

strange_device

#include <bits/stdc++.h>
#define dbg() cerr <<
#define name(x) (#x) << ": " << (x) << ' ' <<

// 0(B+1)    1    2    3    ...  B-2   B-1
// 1(B+1)  B+2  B+3  B+4  ...  2B-1  2B
// 2(B+1)  2B+3 ....
// ---
// X(B+1)
// vreau ca X(B+1) = 0 (mod A) => X(B+1) multiplu de A => X(B + 1) = lcm(A, B + 1)
// X(B + 1) = A * (B + 1) / GCD(A, B + 1) => X = A / GCD(A, B + 1)

using namespace std;

const long long INF = numeric_limits<long long>::max();

long long GCD(long long a, long long b) {
  if (!b) return a;
  return GCD(b, a % b);
}

int main() {
  ios::sync_with_stdio(0);
  cin.tie(0);

  auto Print = [&](long long ans) {
    cout << ans << endl;
    exit(0);
  };

  long long n, a, b; cin >> n >> a >> b;
//  for (int t = 0; t < 20; ++t) {
//    dbg() (t + t / b) % a  << ' ' << t % b << endl;
//  }
  vector<pair<long long, long long>> segm(n);
  long long total = 0;
  for (auto &p : segm) {
    cin >> p.first >> p.second;
    total += p.second - p.first + 1;
  }

  long long x = a / GCD(a, b + 1);
  if (x >= INF / b) { // x e ft mare => in prima perioada
    Print(total);
  }

  long long t = x * b; // perioada
//  dbg() "perioada este " << name(t) endl;
  vector<pair<long long, long long>> v; v.reserve(2 * n);
  for (auto &p : segm) {
    if (p.second - p.first + 1 >= t) {
      Print(t);
    }
    p.first %= t; p.second %= t;
    if (p.first <= p.second) {
      v.emplace_back(p);
    } else {
      v.emplace_back(p.first, t - 1);
      v.emplace_back(0LL, p.second);
    }
  }
  sort(v.begin(), v.end());
  long long rgt = -1, ans = 0LL;
  for (auto &p : v) {
//    dbg() name(p.first) name(p.second) endl;
    if (p.second > rgt) {
      ans += p.second - max(p.first, rgt + 1) + 1;
      rgt = p.second;
    }
  }
  Print(ans); 
}

Subtask #1
10.0 / 10.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	2 ms	376 KB	Output is correct
2	Correct	8 ms	1016 KB	Output is correct
3	Correct	8 ms	1016 KB	Output is correct
4	Correct	2 ms	376 KB	Output is correct
5	Correct	2 ms	376 KB	Output is correct
6	Correct	2 ms	376 KB	Output is correct
7	Correct	2 ms	376 KB	Output is correct
8	Correct	2 ms	380 KB	Output is correct
9	Correct	2 ms	372 KB	Output is correct
10	Correct	8 ms	376 KB	Output is correct
11	Correct	1 ms	376 KB	Output is correct
12	Correct	0 ms	376 KB	Output is correct
13	Correct	0 ms	376 KB	Output is correct
14	Correct	4 ms	344 KB	Output is correct
15	Correct	2 ms	376 KB	Output is correct
16	Correct	8 ms	1016 KB	Output is correct
17	Correct	70 ms	7288 KB	Output is correct
18	Correct	2 ms	376 KB	Output is correct

Subtask #2
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	2 ms	376 KB	Output is correct
2	Correct	2 ms	376 KB	Output is correct
3	Correct	2 ms	376 KB	Output is correct
4	Correct	2 ms	376 KB	Output is correct
5	Correct	2 ms	376 KB	Output is correct

Subtask #3
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	2 ms	376 KB	Output is correct
2	Correct	3 ms	376 KB	Output is correct
3	Correct	3 ms	376 KB	Output is correct
4	Correct	3 ms	376 KB	Output is correct
5	Correct	472 ms	56868 KB	Output is correct

Subtask #4
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	2 ms	380 KB	Output is correct
2	Correct	623 ms	68828 KB	Output is correct
3	Correct	626 ms	69020 KB	Output is correct
4	Correct	650 ms	68988 KB	Output is correct

Subtask #5
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	2 ms	380 KB	Output is correct
2	Correct	623 ms	68828 KB	Output is correct
3	Correct	626 ms	69020 KB	Output is correct
4	Correct	650 ms	68988 KB	Output is correct
5	Correct	2 ms	376 KB	Output is correct
6	Correct	618 ms	68896 KB	Output is correct
7	Correct	618 ms	68856 KB	Output is correct
8	Correct	638 ms	68856 KB	Output is correct
9	Correct	681 ms	68824 KB	Output is correct

Subtask #6
20.0 / 20.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	2 ms	380 KB	Output is correct
2	Correct	623 ms	68828 KB	Output is correct
3	Correct	626 ms	69020 KB	Output is correct
4	Correct	650 ms	68988 KB	Output is correct
5	Correct	2 ms	376 KB	Output is correct
6	Correct	61 ms	7192 KB	Output is correct
7	Correct	66 ms	7288 KB	Output is correct
8	Correct	62 ms	7416 KB	Output is correct
9	Correct	64 ms	7160 KB	Output is correct
10	Correct	62 ms	7200 KB	Output is correct
11	Correct	65 ms	7288 KB	Output is correct
12	Correct	61 ms	7160 KB	Output is correct
13	Correct	69 ms	7200 KB	Output is correct
14	Correct	61 ms	7228 KB	Output is correct
15	Correct	69 ms	7224 KB	Output is correct
16	Correct	67 ms	7160 KB	Output is correct
17	Correct	67 ms	7196 KB	Output is correct
18	Correct	621 ms	67728 KB	Output is correct
19	Correct	614 ms	68848 KB	Output is correct
20	Correct	685 ms	68828 KB	Output is correct
21	Correct	68 ms	7160 KB	Output is correct
22	Correct	61 ms	7188 KB	Output is correct
23	Correct	194 ms	23632 KB	Output is correct

Subtask #7
20.0 / 20.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	376 KB	Output is correct
2	Correct	67 ms	7160 KB	Output is correct
3	Correct	69 ms	7160 KB	Output is correct
4	Correct	710 ms	68936 KB	Output is correct
5	Correct	68 ms	7224 KB	Output is correct
6	Correct	67 ms	7288 KB	Output is correct
7	Correct	66 ms	7160 KB	Output is correct
8	Correct	68 ms	7160 KB	Output is correct
9	Correct	66 ms	7160 KB	Output is correct
10	Correct	67 ms	7220 KB	Output is correct
11	Correct	67 ms	7160 KB	Output is correct
12	Correct	60 ms	7160 KB	Output is correct
13	Correct	70 ms	7288 KB	Output is correct
14	Correct	677 ms	68828 KB	Output is correct
15	Correct	66 ms	7160 KB	Output is correct
16	Correct	618 ms	68768 KB	Output is correct
17	Correct	608 ms	68856 KB	Output is correct
18	Correct	2 ms	376 KB	Output is correct

Subtask #8
30.0 / 30.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	2 ms	376 KB	Output is correct
2	Correct	8 ms	1016 KB	Output is correct
3	Correct	8 ms	1016 KB	Output is correct
4	Correct	2 ms	376 KB	Output is correct
5	Correct	2 ms	376 KB	Output is correct
6	Correct	2 ms	376 KB	Output is correct
7	Correct	2 ms	376 KB	Output is correct
8	Correct	2 ms	380 KB	Output is correct
9	Correct	2 ms	372 KB	Output is correct
10	Correct	8 ms	376 KB	Output is correct
11	Correct	1 ms	376 KB	Output is correct
12	Correct	0 ms	376 KB	Output is correct
13	Correct	0 ms	376 KB	Output is correct
14	Correct	4 ms	344 KB	Output is correct
15	Correct	2 ms	376 KB	Output is correct
16	Correct	8 ms	1016 KB	Output is correct
17	Correct	70 ms	7288 KB	Output is correct
18	Correct	2 ms	376 KB	Output is correct
19	Correct	2 ms	376 KB	Output is correct
20	Correct	2 ms	376 KB	Output is correct
21	Correct	2 ms	376 KB	Output is correct
22	Correct	2 ms	376 KB	Output is correct
23	Correct	2 ms	376 KB	Output is correct
24	Correct	2 ms	376 KB	Output is correct
25	Correct	3 ms	376 KB	Output is correct
26	Correct	3 ms	376 KB	Output is correct
27	Correct	3 ms	376 KB	Output is correct
28	Correct	472 ms	56868 KB	Output is correct
29	Correct	2 ms	380 KB	Output is correct
30	Correct	623 ms	68828 KB	Output is correct
31	Correct	626 ms	69020 KB	Output is correct
32	Correct	650 ms	68988 KB	Output is correct
33	Correct	2 ms	376 KB	Output is correct
34	Correct	618 ms	68896 KB	Output is correct
35	Correct	618 ms	68856 KB	Output is correct
36	Correct	638 ms	68856 KB	Output is correct
37	Correct	681 ms	68824 KB	Output is correct
38	Correct	2 ms	376 KB	Output is correct
39	Correct	61 ms	7192 KB	Output is correct
40	Correct	66 ms	7288 KB	Output is correct
41	Correct	62 ms	7416 KB	Output is correct
42	Correct	64 ms	7160 KB	Output is correct
43	Correct	62 ms	7200 KB	Output is correct
44	Correct	65 ms	7288 KB	Output is correct
45	Correct	61 ms	7160 KB	Output is correct
46	Correct	69 ms	7200 KB	Output is correct
47	Correct	61 ms	7228 KB	Output is correct
48	Correct	69 ms	7224 KB	Output is correct
49	Correct	67 ms	7160 KB	Output is correct
50	Correct	67 ms	7196 KB	Output is correct
51	Correct	621 ms	67728 KB	Output is correct
52	Correct	614 ms	68848 KB	Output is correct
53	Correct	685 ms	68828 KB	Output is correct
54	Correct	68 ms	7160 KB	Output is correct
55	Correct	61 ms	7188 KB	Output is correct
56	Correct	194 ms	23632 KB	Output is correct
57	Correct	1 ms	376 KB	Output is correct
58	Correct	67 ms	7160 KB	Output is correct
59	Correct	69 ms	7160 KB	Output is correct
60	Correct	710 ms	68936 KB	Output is correct
61	Correct	68 ms	7224 KB	Output is correct
62	Correct	67 ms	7288 KB	Output is correct
63	Correct	66 ms	7160 KB	Output is correct
64	Correct	68 ms	7160 KB	Output is correct
65	Correct	66 ms	7160 KB	Output is correct
66	Correct	67 ms	7220 KB	Output is correct
67	Correct	67 ms	7160 KB	Output is correct
68	Correct	60 ms	7160 KB	Output is correct
69	Correct	70 ms	7288 KB	Output is correct
70	Correct	677 ms	68828 KB	Output is correct
71	Correct	66 ms	7160 KB	Output is correct
72	Correct	618 ms	68768 KB	Output is correct
73	Correct	608 ms	68856 KB	Output is correct
74	Correct	2 ms	376 KB	Output is correct
75	Correct	2 ms	376 KB	Output is correct
76	Correct	2 ms	376 KB	Output is correct
77	Correct	2 ms	376 KB	Output is correct
78	Correct	2 ms	376 KB	Output is correct
79	Correct	8 ms	1016 KB	Output is correct
80	Correct	700 ms	68856 KB	Output is correct
81	Correct	710 ms	68900 KB	Output is correct
82	Correct	674 ms	68856 KB	Output is correct
83	Correct	685 ms	68856 KB	Output is correct
84	Correct	676 ms	68856 KB	Output is correct
85	Correct	686 ms	68892 KB	Output is correct
86	Correct	195 ms	23564 KB	Output is correct
87	Correct	2 ms	376 KB	Output is correct

Submission #191343

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