There was a boy called ZDD, and he loved a girl whose name is SZD. He loved her very much, and after answering the question, SZD became ZDD’s girlfriend. They fell in love with each other deeply. But the happy time wasn’t longer. One day SZD was caught by a big boss called TIANKENG. And ZDD decided to save his lover. On his way to TIANKENG’s castle, there was N monsters. And ZDD can kill the monster with a probability P. If ZDD killed one monster, he could get M keys. ZDD wanted to know what is the expectation of the number of keys he can get?

        For each test case, you should print the answer in one line with two decimal places.