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 = list(map(int, input().split(' ')))
n = s[0]
p = s[1]
k = s[2]
s = ''
if p - k >1:
	s += '<< '
for i in range(p - k, p):
	if i > 0:
		s += str(i) + " "
s += '(' + str(p) + ') '
for i in range(p + 1, p + k + 1):
	if i <= n:
		s += str(i) + ' '
if p + k < n:
	s += '>>'
print(s)
			  				  	 	 			   	   	 				