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*)
page_number, current_page, period = map(int, input().split())

right = '>>'
left = '<<'

page_list = range(1, page_number + 1)

res = []

page_index = page_list.index(current_page)

if page_index > period:
    res.append(left)

if page_index >= period - 1:
    for i in reversed(range(1, period + 1)):
        tmp_number = current_page - i
        if tmp_number in page_list:
            res.append(str(current_page - i))

res.append('({})'.format(str(current_page)))

if page_index <= page_number - period:
    for i in range(1, period + 1):
        tmp_number = current_page + i
        if tmp_number in page_list:
            res.append(str(current_page + i))

if page_index < page_number - period - 1:
    res.append(right)

print(' '.join(res))
