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  1. #include <iostream>
  2. #include <algorithm>
  3. #include <vector>
  4. using namespace std;
  5.  
  6. long long mod = 1000000007;
  7. long long N;
  8.  
  9. long long solve(vector<long long>E) {
  10. 	vector<long long>C; long long sum = 1, B = 0;
  11. 	for (int i = 0; i < E.size(); i++) {
  12. 		C.push_back((N / E[i]) - B); sum *= ((N / E[i]) - B); sum %= mod;
  13. 		B = (N / E[i]);
  14. 	}
  15.  
  16. 	long long cx = 1;
  17. 	for (int i = (int)E.size() - 1; i >= 0; i--) {
  18. 		for (int j = 0; j < C[i] - 1; j++) { sum *= cx; sum %= mod; cx++; }
  19. 		cx++;
  20. 	}
  21. 	return sum;
  22. }
  23.  
  24. int main() {
  25. 	cin >> N;
  26. 	vector<long long>V; V.push_back(1);
  27. 	while (V[V.size() - 1] * 2LL <= N) V.push_back(V[V.size() - 1] * 2LL);
  28. 	reverse(V.begin(), V.end());
  29.  
  30. 	long long P1 = solve(V);
  31. 	long long sum = P1;
  32.  
  33. 	if (3LL * V[0] <= 2LL * N) {
  34. 		for (int i = 1; i <= (int)V.size() - 1; i++) {
  35. 			vector<long long>V2 = V;
  36. 			for (int j = 0; j < i; j++) V2[j] = 3LL * V2[j] / 2LL;
  37.  
  38. 			long long P2 = solve(V2);
  39. 			sum += P2; sum %= mod;
  40. 		}
  41. 	}
  42. 	cout << sum << endl;
  43. 	return 0;
  44. }
Success #stdin #stdout 0s 15240KB
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https://ideone.com/eRt8U0
language:
C++14 (gcc 8.3)
created:
4 years ago
visibility:
public

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