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*)

x= input().split()
n= int(x[0])
p= int(x[1])
k= int(x[2])

max_limit=min(n, p+k)
min_limit= max(1, p-k)
ans=''
for i in range(min_limit, max_limit+1):
    ans= ans+ ' '+str(i)
ans= ans.replace(str(p), "("+str(p)+")")

if int(min_limit)!=1:
    ans= '<<'+ans
if int(max_limit)!=n:
    ans= ans+" "+'>>'

print(ans.lstrip())