Unexpressed#10378

Unexpressed

1 second
128 megabytes
Very easy

One integer is given. How many integers between and (inclusive) are unrepresentable as a^b, where and are integers not less than ?

Input

One positive integer n~(n \le 10^{10}).

Output

Print the amount of unrepresentable numbers.

Examples

Example 1

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Example 2

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