Small and Large Integers

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

inputFormat

input are integers.

Input

Input is given from Standard Input in the following format:

A B K

outputFormat

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

样例

2 9 100

2
3
4
5
6
7
8
9

</p>