SP31221 ZCR - Zen And His Crush

Zen has a Crush and is always fantasizing about her. He is so restless now, that he has decided to meet her and express his immense feelings about her. He fears a lot of being rejected that's why he wants to examine his luck. Zen has **N** biased coins where the probability of getting Head from _**i****th**_ coin is **P**i. His luck of being accepted is the probability of getting **exactly K** heads when N coins are tossed simultaneously. Zen is weak in programming and asking for help. Can you help him to calculate his luck?

First Line of the input file contains, **T**-number of test cases. **(1

For each test case, you have to print desired output(up to **10** decimal places).