Codeforces Round 873 (Div. 1) 1827A. Counting Orders Solution


 

Problem Link:  https://codeforces.com/problemset/problem/1827/A

Solution in C++:

  1. /// Author : AH_Tonmoy
  2. #include <bits/stdc++.h>
  3. using namespace std;
  4. const int mod = 1e9 + 7 ;
  5. int32_t main() {
  6. ios_base::sync_with_stdio(0);
  7. cin.tie(0);
  8. int t;
  9. cin >> t;
  10. while (t--) {
  11. int n ; cin >> n ;
  12. vector<int>a(n),b(n) ;
  13. for ( int i = 0 ; i < n ; i++){
  14. cin >> a[i] ;
  15. }
  16. for ( int i = 0 ; i < n ; i++){
  17. cin >> b[i] ;
  18. }
  19. sort(a.begin(),a.end()) ;
  20. sort(b.begin(),b.end()) ;
  21. long long ans = - 1;
  22. for ( int i = 0 ; i < n ; i++){
  23. if(a[i] <= b[i]){
  24. ans = 0 ;
  25. break ;
  26. }
  27. }
  28. if(ans == 0){
  29. cout <<0<<'\n';
  30. continue ;
  31. }
  32. ans = 1 ;
  33. for ( int i = 0 ; i < n ; i++){
  34. int low = i , high = n - 1 ;
  35. int index ;
  36. while(low <= high){
  37. int mid = low + ( ( high - low ) / 2 );
  38. if( a[i] > b[mid] ){
  39. index = mid ;
  40. low = mid + 1 ;
  41. }
  42. else {
  43. high = mid - 1 ;
  44. }
  45. }
  46. long long value = index - i + 1 ;
  47. ans *= value ;
  48. ans %= mod ;
  49. }
  50. cout <<ans <<'\n';
  51. }
  52. return 0 ;
  53. }

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