Hey Kakao

Hey Kakao, the word that changes your daily life, is an AI assistant application built on Kakao Enterprise's AI platform Kakao i. With Hey Kakao, you can use a range of features such as music search, directions, and foreign language translation with a single spoken phrase.

According to the 2020 Hey Kakao year-end report, the phrase Hey Kakao heard most often after "thank you" and "hello" was "let's play word chain." Iha, fidgeting with a phone in his room, decided to play word chain with Hey Kakao to pass the time.

Iha played word chain casually for several rounds and gathered statistics. He found that one round takes $a$ minutes and that his current probability of winning is $d$%. Disappointed with his win rate, Iha decided to now play with focus. When Iha focuses, each loss at word chain builds experience and raises his win probability by $k$% relative to before. If the raised probability exceeds $100$%, Iha wins for certain from the next round on.

Iha intends to keep playing word chain until he beats Hey Kakao once. Find the expected value of the time Iha spends playing word chain.

The first line gives three integers $a, d, k$ separated by spaces. $(1 \leq a, d, k \leq 100)$ This means one round of word chain takes $a$ minutes, the probability that Iha, having started to focus, wins at first is $d$%, and each loss raises his win rate by $k$% relative to before.

All values in the input are integers.

Print the expected value, in minutes, of the time Iha spends playing word chain until he wins. An absolute or relative error of at most $10^{-6}$ is accepted.

In sample 1, the probability that Iha wins the first round is 50%, the probability that he wins the second round after one loss is 75%, and the probability that he wins the third round is 100%.