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 "&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 ≤ *n* ≤ 100; 1 ≤ *p* ≤ *n*; 1 ≤ *k* ≤ *n*)
total_count, current_page, border_value = [int(_) for _ in input().split()]

pages_to_show = ([str(_) for _ in range(current_page - border_value, current_page + border_value + 1)])
pages_to_show = (str(x) for x in pages_to_show if int(x) > 0 and int(x) <= total_count)
nav_bar = ' '.join(pages_to_show)
nav_bar = nav_bar.replace(str(current_page), f'({current_page})')

if f"{total_count}" in nav_bar and '1' in nav_bar:
    pass
elif '1' in nav_bar:
    nav_bar += " >>"
elif f"{total_count}" in nav_bar:
    nav_bar = "<< " + nav_bar
else:
    nav_bar = "<< " + nav_bar + " >>"

print(nav_bar)
