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.*;
public class Main {
public static void main(String[] args){
Scanner sc = new Scanner(System.in);
Set<Integer> num=new HashSet<>();
int a=Integer.parseInt(sc.next());
int b=Integer.parseInt(sc.next());
int k=Integer.parseInt(sc.next());
for(int i=a;i<a+k&&i<=b;i++){num.add(i);}
for(int i=b;i>b-k&&i>=a;i--){num.add(i);}
Integer[] m=num.toArray(new Integer[0]);
Arrays.sort(m);
for(int i:m){System.out.println(i);}
}}