diff --git a/C++/program-28/Readme b/C++/program-28/Readme deleted file mode 100644 index aaa818e9..00000000 --- a/C++/program-28/Readme +++ /dev/null @@ -1,30 +0,0 @@ -Given a number n, print all primes smaller than or equal to n. It is also given that n is a small number. -The Sieve of Eratosthenes is one of the most efficient ways to find all primes smaller than n when n is smaller than 10 million or so. -Following is the algorithm to find all the prime numbers less than or equal to a given integer n by the Eratosthene’s method: - -When the algorithm terminates, all the numbers in the list that are not marked are prime. - -Explanation with Example: -1. Let us take an example when n = 50. So we need to print all prime numbers smaller than or equal to 50. -2. We create a list of all numbers from 2 to 50. -3. According to the algorithm we will mark all the numbers which are divisible by 2 and are greater than or equal to the square of it. -4. Now we move to our next unmarked number 3 and mark all the numbers which are multiples of 3 and are greater than or equal to the square of it. -5. We move to our next unmarked number 5 and mark all multiples of 5 and are greater than or equal to the square of it. -6. We move to our next unmarked number 5 and mark all multiples of 5 and are greater than or equal to the square of it. - - - -Example: Input : n =10 - Output : 2 3 5 7 - - Input : n = 20 - Output: 2 3 5 7 11 13 17 19 - - -MAIN OUTPUT:- - -Following are the prime numbers smaller than or equal to 30 -2 3 5 7 11 13 17 19 23 29 - - -Time complexity : O(n*log(log(n))) diff --git a/C++/program-28/Sieve_of_erathonesis.exe b/C++/program-28/Sieve_of_erathonesis.exe deleted file mode 100644 index f7635863..00000000 Binary files a/C++/program-28/Sieve_of_erathonesis.exe and /dev/null differ diff --git a/C++/program-28/Sieve_of_eratosthenes.cpp b/C++/program-28/Sieve_of_eratosthenes.cpp deleted file mode 100644 index 73b1cce3..00000000 --- a/C++/program-28/Sieve_of_eratosthenes.cpp +++ /dev/null @@ -1,49 +0,0 @@ -// C++ program to print all primes -// smaller than or equal to -// n using Sieve of Eratosthenes -#include -using namespace std; - -void SieveOfEratosthenes(int n) -{ - // Create a boolean array - // "prime[0..n]" and initialize - // all entries it as true. - // A value in prime[i] will - // finally be false if i is - // Not a prime, else true. - bool prime[n + 1]; - memset(prime, true, sizeof(prime)); - - for (int p = 2; p * p <= n; p++) - { - // If prime[p] is not changed, - // then it is a prime - if (prime[p] == true) - { - // Update all multiples - // of p greater than or - // equal to the square of it - // numbers which are multiple - // of p and are less than p^2 - // are already been marked. - for (int i = p * p; i <= n; i += p) - prime[i] = false; - } - } - - // Print all prime numbers - for (int p = 2; p <= n; p++) - if (prime[p]) - cout << p << " "; -} - -// Driver Code -int main() -{ - int n = 30; - cout << "Following are the prime numbers smaller " - << " than or equal to " << n << endl; - SieveOfEratosthenes(n); - return 0; -} \ No newline at end of file