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 create_navigation(n, p, k):
    res = [str(x) for x in range(p-k,p+k+1,1) if x <= n and x >= 1]

    if res[-1] != str(n):
        res.append('>>')

    if res[0] != "1":
        res[res.index(str(p))] = "(" + str(p) + ")"
        return "<< "+ " ".join(res)
    else:
        res[res.index(str(p))] = "(" + str(p) + ")"
        return " ".join(res)


n,p,k = input().split()
print(create_navigation(int(n),int(p),int(k)))