LogiQuest

157. Integer K-th Root

MediumBinary Search

Print the largest integer x with xᵏ ≤ n.

Input format

A single line: n k

Output format

x

Example 1

Input

27 3

Output

3

Example 2

Input

26 3

Output

2

Constraints

1 ≤ n ≤ 10¹⁸ 1 ≤ k ≤ 60

Read input from standard input and print the answer to standard output. Your code is judged against 5 test cases, most of them hidden.

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