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
a, b, k = map(int, input().split())
S=sorted(set(range(a,min(a+k,b+1))) | set(range(max(b+1-k,a),b+1)))
for _ in S:
    print(_)