Given a number N, calculate the prime numbers up to N using Sieve of Eratosthenes.
Example 1:
Input:
N = 10Output:
2 3 5 7Explanation:
Prime numbers less than equal to N
are 2 3 5 and 7.
Example 2:
Input:
N = 35Output:
2 3 5 7 11 13 17 19 23 29 31Explanation:
Prime numbers less than equal to 35 are
2 3 5 7 11 13 17 19 23 29 and 31.
Your Task:
You don't need to read input or print anything. Your task is to complete the function sieveOfEratosthenes() which takes an integer N as an input parameter and return the list of prime numbers less than equal to N.
Expected Time Complexity: O(NloglogN) Expected Auxiliary Space: O(N)
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Avoid using static/global variables in coding problems as your code is tested
against multiple test cases and these tend to retain their previous values.
Passing the Sample/Custom Test cases in coding problems does not guarantee the
correctness of code. On submission, your code is tested against multiple test cases
consisting of all possible corner cases and stress constraints.
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