Root of the problem ------------------- Last Friday, Franck went to the dentist. After having a good look at Franck's teeth, the dentist said "Let's get to the root of the problem." While the dentst prepared all her equipment, Franck grabbed a piece paper and started looking for roots. After solving four problems, the dentist interrupted Franck. Can you solve the remaining problems? You are given positive integers B and N, and you have to find an integer A such that A raised to the power N is as close as possible to B. Note that the result A is an approximation to the Nth root of B. Also observe that A raised to the power N may be less than, equal to, or greater than B. Input ----- 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). Output ------ For each pair B and N in the input, output A as defined above on a line by itself. Sample Input ------------ 4 3 5 3 27 3 750 5 1000 5 2000 5 3000 5 1000000 5 0 0 Sample Output ------------- 1 2 3 4 4 4 5 16