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*)
from collections import deque
def pages(n, p, k):
    ans = deque(["("+str(p)+")"])
    for i in range(1,k+1):
        if p-i >= 1:
            ans.appendleft(str(p-i))
        if p+i <= n:     
            ans.append(str(p+i))

    if p-k > 1:
        ans.appendleft("<<")
    if p+k < n:
        ans.append(">>")

    return " ".join(ans)

arr = list(map(int, input().split()))
print(pages(arr[0], arr[1], arr[2]))    
     
