B"It's a very unfortunate day for Volodya today. He got bad mark in algebra and was therefore forced to do some work in the kitchen, namely to cook borscht (traditional Russian soup). This should also improve his algebra skills. According to the borscht recipe it consists of n ingredients that have to be mixed in proportion litres (thus, there should be a1 xe2 x80 x89 xc2 xb7x, xe2 x80 x89..., xe2 x80 x89an xe2 x80 x89 xc2 xb7x litres of corresponding ingredients mixed for some non-negative x). In the kitchen Volodya found out that he has b1, xe2 x80 x89..., xe2 x80 x89bn litres of these ingredients at his disposal correspondingly. In order to correct his algebra mistakes he ought to cook as much soup as possible in a V litres volume pan (which means the amount of soup cooked can be between 0 and V litres). What is the volume of borscht Volodya will cook ultimately? The first line of the input contains two space-separated integers n and V (1 xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89n xe2 x80 x89 xe2 x89 xa4 xe2 x80 x8920, xe2 x80 x891 xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89V xe2 x80 x89 xe2 x89 xa4 xe2 x80 x8910000). The next line contains n space-separated integers ai (1 xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89ai xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89100). Finally, the last line contains n space-separated integers bi (0 xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89bi xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89100). Your program should output just one real number -- the volume of soup that Volodya will cook. Your answer must have a relative or absolute error less than 10 xe2 x80 x89- xe2 x80 x894."...