3 1 s 64 MB

Given positive integers B and N, find an non-negative integer A such that A^N is as close as possible to B. (The result A is an approximation to the Nth root of B.) Note that A^N may be less than, equal to, or greater than B.

The input consists of one or more pairs of values for B and N. Each pair appears on a single line, delimited by a single space. A line specifying the value zero for both B and N marks the end of the input. The value of B will be in the range 1 to 1,000,000 (inclusive), and the value of N will be in the range 1 to 9 (inclusive).

For each pair B and N in the input, output A as defined above on a line by itself.

## Sample Input | ## Sample Output |
---|---|

4 3 5 3 27 3 750 5 1000 5 2000 5 3000 5 1000000 5 0 0 | 1 2 3 4 4 4 5 16 |