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=list(map(int,(input().split())))
last_page=n[0]
range0=n[2]
currant_page=n[1]
result0=["({})".format(currant_page)]
for i in range(1,range0+1):
    if currant_page-i>=1:
        result0.insert(0,currant_page-i)
    if currant_page+i<=last_page:
        result0.append(currant_page+i)
result0.append(">>")
result0.insert(0,"<<")
if 1 or (1) in result0:
    result0.remove("<<")
if last_page in result0 or last_page==currant_page:
    result0.remove(">>")
print(" ".join(map(str,result0)))