When school finishes, Fayez decides to experiment with new hair lengths.

Currently, Fayez has a hair length of ~H~ cm.

Whenever he visits his barber in the summer, his hair will be cut ~S~ cm shorter.

He will visit his barber ~Q~ times and wants to know his hair length after each haircut.

Can you help him?

Input Specification

The first line will contain ~H~ ~(100 \le H \le 100\,000)~, the length of Fayez's hair initially.

The next will contain ~S~ ~(1 \le S \le 1\,000)~, the length of hair trimmed off from each haircut.

The next line will contain ~Q~ ~(1 \le Q \le \lfloor \frac{H - 1}{S} \rfloor)~, the number of haircuts Fayez will get.

Output Specification

Output the length of Fayez's hair after each haircut in cm.

Sample Input

200
2
3

Sample Output

198
196
194