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*)
no_page, present_page, display_range = map(int, input().split())
if(present_page - display_range <= 1):
    starting_page = 1
else:
    starting_page = present_page - display_range
if(present_page + display_range >= no_page):
    ending_page = no_page
else:
    ending_page = present_page + display_range
for i in range(starting_page, ending_page + 1, +1):
    if(i == present_page):
        print("("+str(i)+")", end = " "),
    elif(i == 1):
        print(i, end = " "),
    elif(i == starting_page and starting_page > 1):
        print("<<", i, end = " "),
    elif(i == ending_page and ending_page == no_page):
        print(i),
    elif(i == ending_page and ending_page != no_page):
        print(i, ">>", end = " "),
    else:
        print(i, end = " "),