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Submission #213053

# Submission time Handle Problem Language Result Execution time Memory
213053 2020-03-24T19:52:17 Z arman_ferdous Strange Device (APIO19_strange_device) C++17
100 / 100
 589 ms 53316 KB 
/* at time = 0, (x, y) = (0, 0)
 * we need to find minimum t > 0, such that (x, y) = 0 again ie. the cycle period.
 * now, y = 0 = t % B => t = K * B (for some integer K)
 * putting t in x's eqn and simplifying gives us a nice formula
 * K * (B + 1) % A = 0
 * from here it is easy to find K's value. 
 * answering queries are just merging intervals
 */

#include <bits/stdc++.h>
using namespace std;

using ll = long long;
const double oo = 1e19;

vector<pair<ll,ll>> interval;

int main () {
  int n;
  ll A, B;
  scanf("%d %lld %lld", &n, &A, &B);

  int inf = 0; ll sum = 0;
  ll g = __gcd(A, B + 1);
  ll K = A / g;
  ll T = K * B;
  
  if(K * 1.0 > oo / B * 1.0) inf = 1;
  while(n--) {
    ll l, r;
    scanf("%lld %lld", &l, &r);

    if(!inf && r - l + 1 >= T) {
      printf("%lld\n", T);
      return 0;
    } sum += r - l + 1;

    ll le = l % T;
    ll ri = r % T;
    if(le <= ri) {
      interval.push_back({le, ri});

    }
    else {
      interval.push_back({0, ri});
      interval.push_back({le, T - 1});
    }
  }

  if(inf) printf("%lld\n", sum);
  else {
    ll ans = 0, ptr = -1;
    sort(interval.begin(), interval.end());
    for(int i = 0; i < (int)interval.size(); i++) {
      if(ptr < interval[i].first) {
        ans += interval[i].second - interval[i].first + 1;
        ptr = interval[i].second;
      }
      else {
        ans += max(0ll, interval[i].second - ptr);
        ptr = max(ptr, interval[i].second);
      }
    }
    printf("%lld\n", ans);
  }
  return 0;
}

Compilation message

strange_device.cpp: In function 'int main()':
strange_device.cpp:21:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%d %lld %lld", &n, &A, &B);
   ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~
strange_device.cpp:31:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%lld %lld", &l, &r);
     ~~~~~^~~~~~~~~~~~~~~~~~~~~

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 10 ms 768 KB Output is correct
3 Correct 10 ms 768 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 4 ms 384 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 5 ms 384 KB Output is correct
8 Correct 5 ms 512 KB Output is correct
9 Correct 5 ms 384 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 5 ms 384 KB Output is correct
12 Correct 5 ms 384 KB Output is correct
13 Correct 5 ms 384 KB Output is correct
14 Correct 5 ms 384 KB Output is correct
15 Correct 5 ms 512 KB Output is correct
16 Correct 10 ms 768 KB Output is correct
17 Correct 60 ms 2548 KB Output is correct
18 Correct 5 ms 384 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 5 ms 384 KB Output is correct

Subtask #3
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 6 ms 384 KB Output is correct
4 Correct 5 ms 512 KB Output is correct
5 Correct 412 ms 16852 KB Output is correct

Subtask #4
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 519 ms 16848 KB Output is correct
3 Correct 498 ms 16848 KB Output is correct
4 Correct 499 ms 16852 KB Output is correct

Subtask #5
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 519 ms 16848 KB Output is correct
3 Correct 498 ms 16848 KB Output is correct
4 Correct 499 ms 16852 KB Output is correct
5 Correct 5 ms 384 KB Output is correct
6 Correct 507 ms 16848 KB Output is correct
7 Correct 521 ms 16848 KB Output is correct
8 Correct 506 ms 16956 KB Output is correct
9 Correct 551 ms 16848 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 519 ms 16848 KB Output is correct
3 Correct 498 ms 16848 KB Output is correct
4 Correct 499 ms 16852 KB Output is correct
5 Correct 5 ms 384 KB Output is correct
6 Correct 56 ms 2668 KB Output is correct
7 Correct 59 ms 2540 KB Output is correct
8 Correct 52 ms 2540 KB Output is correct
9 Correct 55 ms 2540 KB Output is correct
10 Correct 56 ms 2540 KB Output is correct
11 Correct 57 ms 2540 KB Output is correct
12 Correct 55 ms 2536 KB Output is correct
13 Correct 58 ms 2540 KB Output is correct
14 Correct 55 ms 2540 KB Output is correct
15 Correct 60 ms 2540 KB Output is correct
16 Correct 59 ms 5736 KB Output is correct
17 Correct 66 ms 5736 KB Output is correct
18 Correct 550 ms 53308 KB Output is correct
19 Correct 506 ms 53316 KB Output is correct
20 Correct 576 ms 53308 KB Output is correct
21 Correct 58 ms 5740 KB Output is correct
22 Correct 54 ms 5736 KB Output is correct
23 Correct 195 ms 18524 KB Output is correct

Subtask #7
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 58 ms 2548 KB Output is correct
3 Correct 58 ms 2536 KB Output is correct
4 Correct 583 ms 16852 KB Output is correct
5 Correct 57 ms 2540 KB Output is correct
6 Correct 56 ms 2540 KB Output is correct
7 Correct 56 ms 2540 KB Output is correct
8 Correct 58 ms 2540 KB Output is correct
9 Correct 57 ms 2540 KB Output is correct
10 Correct 57 ms 2548 KB Output is correct
11 Correct 60 ms 2540 KB Output is correct
12 Correct 51 ms 2540 KB Output is correct
13 Correct 57 ms 2540 KB Output is correct
14 Correct 565 ms 16848 KB Output is correct
15 Correct 61 ms 5736 KB Output is correct
16 Correct 531 ms 53308 KB Output is correct
17 Correct 529 ms 53308 KB Output is correct
18 Correct 5 ms 384 KB Output is correct

Subtask #8
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 10 ms 768 KB Output is correct
3 Correct 10 ms 768 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 4 ms 384 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 5 ms 384 KB Output is correct
8 Correct 5 ms 512 KB Output is correct
9 Correct 5 ms 384 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 5 ms 384 KB Output is correct
12 Correct 5 ms 384 KB Output is correct
13 Correct 5 ms 384 KB Output is correct
14 Correct 5 ms 384 KB Output is correct
15 Correct 5 ms 512 KB Output is correct
16 Correct 10 ms 768 KB Output is correct
17 Correct 60 ms 2548 KB Output is correct
18 Correct 5 ms 384 KB Output is correct
19 Correct 5 ms 384 KB Output is correct
20 Correct 5 ms 384 KB Output is correct
21 Correct 5 ms 384 KB Output is correct
22 Correct 5 ms 384 KB Output is correct
23 Correct 5 ms 384 KB Output is correct
24 Correct 5 ms 384 KB Output is correct
25 Correct 5 ms 384 KB Output is correct
26 Correct 6 ms 384 KB Output is correct
27 Correct 5 ms 512 KB Output is correct
28 Correct 412 ms 16852 KB Output is correct
29 Correct 5 ms 384 KB Output is correct
30 Correct 519 ms 16848 KB Output is correct
31 Correct 498 ms 16848 KB Output is correct
32 Correct 499 ms 16852 KB Output is correct
33 Correct 5 ms 384 KB Output is correct
34 Correct 507 ms 16848 KB Output is correct
35 Correct 521 ms 16848 KB Output is correct
36 Correct 506 ms 16956 KB Output is correct
37 Correct 551 ms 16848 KB Output is correct
38 Correct 5 ms 384 KB Output is correct
39 Correct 56 ms 2668 KB Output is correct
40 Correct 59 ms 2540 KB Output is correct
41 Correct 52 ms 2540 KB Output is correct
42 Correct 55 ms 2540 KB Output is correct
43 Correct 56 ms 2540 KB Output is correct
44 Correct 57 ms 2540 KB Output is correct
45 Correct 55 ms 2536 KB Output is correct
46 Correct 58 ms 2540 KB Output is correct
47 Correct 55 ms 2540 KB Output is correct
48 Correct 60 ms 2540 KB Output is correct
49 Correct 59 ms 5736 KB Output is correct
50 Correct 66 ms 5736 KB Output is correct
51 Correct 550 ms 53308 KB Output is correct
52 Correct 506 ms 53316 KB Output is correct
53 Correct 576 ms 53308 KB Output is correct
54 Correct 58 ms 5740 KB Output is correct
55 Correct 54 ms 5736 KB Output is correct
56 Correct 195 ms 18524 KB Output is correct
57 Correct 5 ms 384 KB Output is correct
58 Correct 58 ms 2548 KB Output is correct
59 Correct 58 ms 2536 KB Output is correct
60 Correct 583 ms 16852 KB Output is correct
61 Correct 57 ms 2540 KB Output is correct
62 Correct 56 ms 2540 KB Output is correct
63 Correct 56 ms 2540 KB Output is correct
64 Correct 58 ms 2540 KB Output is correct
65 Correct 57 ms 2540 KB Output is correct
66 Correct 57 ms 2548 KB Output is correct
67 Correct 60 ms 2540 KB Output is correct
68 Correct 51 ms 2540 KB Output is correct
69 Correct 57 ms 2540 KB Output is correct
70 Correct 565 ms 16848 KB Output is correct
71 Correct 61 ms 5736 KB Output is correct
72 Correct 531 ms 53308 KB Output is correct
73 Correct 529 ms 53308 KB Output is correct
74 Correct 5 ms 384 KB Output is correct
75 Correct 5 ms 384 KB Output is correct
76 Correct 5 ms 384 KB Output is correct
77 Correct 5 ms 384 KB Output is correct
78 Correct 5 ms 384 KB Output is correct
79 Correct 10 ms 1152 KB Output is correct
80 Correct 579 ms 53308 KB Output is correct
81 Correct 589 ms 53308 KB Output is correct
82 Correct 545 ms 53308 KB Output is correct
83 Correct 545 ms 53312 KB Output is correct
84 Correct 583 ms 53308 KB Output is correct
85 Correct 552 ms 53308 KB Output is correct
86 Correct 199 ms 18524 KB Output is correct
87 Correct 5 ms 384 KB Output is correct