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*)
n, p, k = tuple(map(int, input().split()))[:]

if p < 1 or p > n:
    exit()
navigation_bar = [i for i in range(max(1, p - k), min(p + k, n) + 1)]

if 1 not in navigation_bar:
    navigation_bar.insert(0, '<<')

if n not in navigation_bar:
    navigation_bar.append('>>')

for i in navigation_bar:
    if i == p:
        print('(', end='')
        print(i, end='')
        print(')', end=' ')
    elif i == navigation_bar[-1]:
        print(i)
    else:
        print(i, end=' ')
