Within the Jupiter project H&H developers should perform a lot of mathematical calculations. One of the most difficult tasks is to calcuate the value of square root of natural number with very high precision. You promised to help H&H programmers in this challenging task.
You are given two natural numbers N and K (2 ≤ N ≤ 1600, 1 ≤ K ≤ 15000). Your task is to find
with K digits after decimal points.