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_cf():
    n, p, k = list(map(int, input().split()))
    res = []
    if p - k <= 1:
        [res.append(str(i)) for i in range(1, p)]
    else:
        res.append('<<')
        [res.append(str(i)) for i in range(p-k, p)]
    res.append('({})'.format(str(p)))
    if p + k >= n:
        [res.append(str(i)) for i in range(p+1, n+1)]
    else:
        [res.append(str(i)) for i in range(p+1, p+k+1)]
        res.append('>>')
    return ' '.join(res)


print(pages_cf())