# Music

Time Limit: 2 seconds

Memory Limit: 256 megabytes

## Description

Little Lesha loves listening to music via his smartphone. But the smartphone doesn't have much memory, so Lesha listens to his favorite songs in a well-known social network InTalk.

Tell Lesha, for how many times he will start the song, including the very first start.

## Input

The single line contains three integers T, S, q (2 ≤ q ≤ 104, 1 ≤ S < T ≤ 105).

## Output

Print a single integer — the number of times the song will be restarted.

## Sample Input

Input5 2 2Output2Input5 4 7Output1Input6 2 3Output1

## Sample Output

None

## Hint

In the first test, the song is played twice faster than it is downloaded, which means that during four first seconds Lesha reaches the moment that has not been downloaded, and starts the song again. After another two seconds, the song is downloaded completely, and thus, Lesha starts the song twice.

In the second test, the song is almost downloaded, and Lesha will start it only once.

In the third sample test the download finishes and Lesha finishes listening at the same moment. Note that song isn't restarted in this case.

None