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*)
n, k, p = map(int, input().split())
s = '(' + str(k) + ') '
ans = ''

for i in range (k-p,k+p+1):
    if i == k:
        ans += s
    if i <= n and i != k and i > 0:
        ans += str(i) + ' '
A = ans.split()
if (A[0] == '(1)' or int(A[0]) == 1) and int(A[-1]) < n:
    print(' '.join(A) +' >>')
elif int(A[-1]) == n and (int(A[0]) == 1 or A[0] == '(1)'):
    print(' '.join(A))
elif int(A[-1]) < n  and int(A[0]) > 1:
   print('<< '+ ' '.join(A) + ' >>')
elif int(A[-1]) == n and int(A[0]) > 1:
    print('<< ' + ' '.join(A))
