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- #include <cmath>
- #include <iostream>
- #include <vector>
- int main() {
- int number;
- std::cin >> number;
- std::vector<int>numbers(number+1);
- std::vector<int> primes;
- for (int i=2; i<=number; ++i) {
- if (numbers[i] == 0) {
- numbers[i] = i;
- primes.push_back(i);
- }
- for (int j=0; j<(int)primes.size() && primes[j]<=numbers[i] && i*primes[j]<=number; ++j)
- numbers[i * primes[j]] = primes[j];
- }
- int64_t divisors = 1;
- for (auto prime: primes) {
- int amount = 0;
- int degree = prime;
- while (degree <= number){
- amount += number / degree;
- degree *= prime;
- }
- divisors *= (amount + 1);
- divisors %= 1000000007;
- }
- std::cout << divisors;
- }
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