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.io.*;
import java.util.Arrays;
import java.util.stream.IntStream;

public class Main {
	public static void main(String[] args) throws IOException {
		BufferedReader stdin = new BufferedReader(new InputStreamReader(System.in));
		int[] input = Arrays.stream(stdin.readLine().split(" ")).mapToInt(Integer::parseInt).toArray();
		IntStream.rangeClosed(input[0], input[1])
		.filter(i ->{
			int order = i - input[0];
			if(order < input[2]|| input[1] - input[0] - input[2]< order) return true;
			else return false;
		})
		.forEach(System.out::println);
	}
}