Print all the integers that satisfies the following in ascending order:

* Among the integers between A and B (inclusive), it is either within the K smallest integers or within the K largest integers.

Constraints

* 1 \leq A \leq B \leq 10^9
* 1 \leq K \leq 100
* All values in input are integers.

Input

Input is given from Standard Input in the following format:


A B K


Output

Print all the integers that satisfies the condition above in ascending order.

Examples

Input

3 8 2


Output

3
4
7
8


Input

4 8 3


Output

4
5
6
7
8


Input

2 9 100


Output

2
3
4
5
6
7
8
9
import java.util.Scanner;
public class Main{
  public static void main(String[] args){
    Scanner in = new Scanner(System.in);
    int a = in.nextInt();
    int b = in.nextInt();
    int k = in.nextInt();
    if(k<b-a){
      for(int i = a;i<a+k&&i<=b-k;i++){
        System.out.println(i);
      }
      for(int i = b-k+1;i<=b&&i>=a;i++){
        System.out.println(i);
      }
    }
    else{
      for(int i=a;i<=b;i++){
        System.out.println(i);
      }
    }
  }
}
