CF919A Supermarket

We often go to supermarkets to buy some fruits or vegetables, and on the tag there prints the price for a kilo. But in some supermarkets, when asked how much the items are, the clerk will say that $ a $ yuan for $ b $ kilos (You don't need to care about what "yuan" is), the same as $ a/b $ yuan for a kilo. Now imagine you'd like to buy $ m $ kilos of apples. You've asked $ n $ supermarkets and got the prices. Find the minimum cost for those apples. You can assume that there are enough apples in all supermarkets.

The first line contains two positive integers $ n $ and $ m $ ( $ 1

The only line, denoting the minimum cost for $ m $ kilos of apples. Please make sure that the absolute or relative error between your answer and the correct answer won't exceed $ 10^{-6} $ . Formally, let your answer be $ x $ , and the jury's answer be $ y $ . Your answer is considered correct if .

In the first sample, you are supposed to buy $ 5 $ kilos of apples in supermarket $ 3 $ . The cost is $ 5/3 $ yuan. In the second sample, you are supposed to buy $ 1 $ kilo of apples in supermarket $ 2 $ . The cost is $ 98/99 $ yuan.