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*)
with open('input.txt') as f:
    for line in f:
        data = line.split()
vsStr=int(data[0])
tekStr=int(data[1])
doPosStr=int(data[2])
n=''
for j in range(-doPosStr,doPosStr+1):  
    if tekStr+j is tekStr:
        n += '('
    if tekStr+j!=0:
        n += str(tekStr+j) 
    if tekStr+j is tekStr:
        n += ')'
    n += ' '
if tekStr > doPosStr:
    n=('<< '+n)
if tekStr + doPosStr<vsStr:
    n=(n+' >>')
print (n)
