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*)
i = map(int, raw_input().split())
n = i[0]
p = i[1]
k = i[2]
j = k
stri = ''

if p - k > 1:
   stri += "<< "

while j > 0:
  if p - j > 0:
    stri = stri + str(p - j) + ' '
  j = j - 1

stri = stri + '(' + str(p) + ') '
j = 1  

while (j < (k + 1)) & ((p + j) < n + 1):
  if (p + j) <= n:
    stri = stri + str(p + j) + ' '
  j = j + 1

if (p + j) < n + 1:
   stri = stri + '>>'
else:
   stri = stri.rstrip()
  
print(stri)
raw_input()