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*)
pages, page, margin = input().split()
pages = int(pages)
page = int(page)
margin = int(margin)

outstring = '(' + str(page) + ')'


for i in range(margin):
	lowerpages = page - i - 1
	if lowerpages > 0:
		outstring = str(lowerpages) + ' ' + outstring

for i in range(margin):
	upperpages = page + i + 1
	if upperpages < pages:
		outstring = outstring + ' ' + str(upperpages)

if outstring[0] != '1':
	outstring = '<< ' + outstring

if outstring[-1::] != str(pages):
	outstring = outstring + ' >>'


print(outstring)