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*)
def pages():
    values = input().split(" ")
    n = int(values[0])
    p = int(values[1])
    k = int(values[2])

    ini = p-k
    fin = p+k
    if p-k <=0:
        ini = 1
    if p+k> n:
        fin = n
    
    pages = list(range(ini,fin+1))

    if 1 and n in pages:
        listOfPages = map(lambda x: '('+str(p)+')' if x == p else x, pages)
        print(*listOfPages)
    elif 1 in pages:
        listOfPages = map(lambda x: '('+str(p)+')' if x == p else x, pages)
        print(*listOfPages,'>>')
    elif n in pages:
        listOfPages = map(lambda x: '('+str(p)+')' if x == p else x, pages)
        print('<<',*listOfPages)
    elif p < 1 or p > n:
        print(' ')
    else:
        listOfPages = map(lambda x: '('+str(p)+')' if x == p else x, pages)
        print('<<',*listOfPages,'>>')

pages() 
