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*)
s = input().split()
[n, p, k] = [int(i) for i in s]
pages = []
for k_i in range(-k, 1):
    if p + k_i >= 1:
        pages.append(str(p + k_i))
for k_i in range(1, k + 1):
    if p + k_i <= n:
        pages.append(str(p + k_i))
if pages[-1] != str(n):
    pages.append('>>')
if pages[0] != str(1):
    pages = ['<<'] + pages
pages[pages.index(str(p))] = '(' + pages[pages.index(str(p))] + ')'
print(' '.join(pages))




