Pages
Description
User ainta is making a web site. This time he is going to make a navigation of the pages. In his site, there are n pages numbered by integers from 1 to n. Assume that somebody is on the p-th page now. The navigation will look like this:
When someone clicks the button "<<" he is redirected to page 1, and when someone clicks the button ">>" he is redirected to page n. Of course if someone clicks on a number, he is redirected to the corresponding page.
There are some conditions in the navigation:
- If page 1 is in the navigation, the button "<<" must not be printed.
- If page n is in the navigation, the button ">>" must not be printed.
- If the page number is smaller than 1 or greater than n, it must not be printed.
You can see some examples of the navigations. Make a program that prints the navigation.
The first and the only line contains three integers n, p, k (3 ≤ n ≤ 100; 1 ≤ p ≤ n; 1 ≤ k ≤ n)
Print the proper navigation. Follow the format of the output from the test samples.
Input
The first and the only line contains three integers n, p, k (3 ≤ n ≤ 100; 1 ≤ p ≤ n; 1 ≤ k ≤ n)
Output
Print the proper navigation. Follow the format of the output from the test samples.
Samples
17 5 2
<< 3 4 (5) 6 7 >>
6 5 2
<< 3 4 (5) 6
6 1 2
(1) 2 3 >>
6 2 2
1 (2) 3 4 >>
9 6 3
<< 3 4 5 (6) 7 8 9
10 6 3
<< 3 4 5 (6) 7 8 9 >>
8 5 4
1 2 3 4 (5) 6 7 8