Score : 200 points

Problem Statement

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.

Sample Input 1

3 8 2

Sample Output 1

3
4
7
8
  • 3 is the first smallest integer among the integers between 3 and 8.
  • 4 is the second smallest integer among the integers between 3 and 8.
  • 7 is the second largest integer among the integers between 3 and 8.
  • 8 is the first largest integer among the integers between 3 and 8.

Sample Input 2

4 8 3

Sample Output 2

4
5
6
7
8

Sample Input 3

2 9 100

Sample Output 3

2
3
4
5
6
7
8
9