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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 =6Output:6Explanation: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 =50Output:30Explanation: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 <= 10^{12}

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Euler Totient

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