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*)
string_input = input()
string_input = list(map(int,string_input.split(' ')))
n = string_input[0]
p = string_input[1]
k = string_input[2]
left = True
right = True
if p - k <= 1:
    left = False
if p + k >= n:
    right = False
output = [str(x) if x!=p else '('+str(x)+')' for x in range(p-k,p+k+1) if (x >= 1 and x <=n)]
output = ' '.join(output)
if left:
    output = '<< '+ output
if right:
    output = output + ' >>'
print(output)
