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:
\lt \lt p-k p-k+1 ... p-1 (p) p+1 ... p+k-1 p+k \gt \gt
When someone clicks the button " \lt \lt " he is redirected to page 1, and when someone clicks the button " \gt \gt " 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 " \lt \lt " must not be printed. If page n is in the navigation, the button " \gt \gt " 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 \le n \le 100; 1 \le p \le n; 1 \le k \le n)

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