Description

Recently, there was an international volleyball championship. Speaking of volleyball, we are interested in the probability of winning of one or another team, if we know some information about the teams. Here are the rules of the game and the necessary information:

So, for given values of Pa, Pb, K, and L, you have to compute the probability, as a percent, for team A to win the match.

Input

There is one number in the first line ? the number of data sets. Each data set consists of a single line with four integers on it: Pa, Pb, K, and L (1<= K<=100, 1<= L<=100).

Output

For each test you must write on one line the required result with exactly one digit after the decimal point (the number should be rounded to the first digit after the decimal point).

2
100 50 1 3
100 1 1 1

93.8
99.5

Source

Southeastern Europe 2002