【cf399A】Pages

2014年3月2日9770

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:

 

 

<< p - k p - k + 1 … p - 1 (pp + 1 … p + k - 1 p + k >>
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.

Input

The first and the only line contains three integers npk (3 ≤ n ≤ 100; 1 ≤ p ≤ n; 1 ≤ k ≤ n)

Output

Print the proper navigation. Follow the format of the output from the test samples.

Sample test(s)
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这个没什么技术含量吧。几分钟水过