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Euler Totient
Easy Accuracy: 52.1% Submissions: 430 Points: 2

Consider Ø(n) as the Euler Totient Function for n. You will be given a positive integer N and you have to find the smallest positive integer n, n <= N for which the ratio n/Ø(n) is maximized.

 

Example 1:

Input:
N = 6
Output:
6
Explanation:
For n = 1, 2, 3, 4, 5 and 6 the values of
the ratio are 1, 2, 1.5, 2, 1.25 and 3
respectively. The maximum is obtained at 6.

Example 2:

Input:
N = 50
Output:
30
Explanation:
For n = 1 to 50, the maximum value of the
ratio is 3.75 which is obtained at n = 30.

 

Your Task:
You don't need to read input or print anything. Your task is to complete the function maximizeEulerRatio() which takes an Integer N as input and returns the smallest positive integer (<= N) which maximizes
the ratio n/Ø(n) is maximized.

 

Expected Time Complexity: O(constant)
Expected Auxiliary Space: O(constant)

 

Constraints:
1 <= N <= 1012

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Euler Totient

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