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
#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); 
}
# 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
# 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
# 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
# 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
# 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
# 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
# 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
# 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