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, p, k = map(int, input().split())
flag1, flag2 = '', ''
p1 = "({})".format(p)
lst, lst2 = [], []
for i in range(k):
    lst.append(p + 1 + i)
    lst2.append(p - k + i)

lst3 = [x for x in lst if x <= n]
lst4 = [x for x in lst2 if x >= 1]

if lst == lst3:
    flag1 = '>>'
if lst2 == lst4 and lst4[0] != 1:
    flag2 = '<<'

s = flag2 + ' ' + ' '.join(map(str, lst4)) + ' ' + p1 + ' ' + ' '.join(map(str, lst3)) + ' ' + flag1
print(s)
