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 solution(n, p, k):
    arr = []
    for i in range(1, n+1):
        arr.append(i)
    string = "(" +str(p) + ")"
    if len(arr[:p]) < k:
        str1 = ""
        for i in range(p-1):
            str1 += str(arr[i]) + " "
        string = str1 + string
    else:
        str1 = ""
        for i in range(p-k-1, p-1):
            str1 += str(arr[i]) + " "
        string = str1 + string
    if string[0] != '1' and string[0] != '(':
        string = "<< " + string
    if len(arr[p:]) < k:
        str2 = " "
        for i in range(arr[p-1], len(arr)):
            str2 += str(arr[i]) + " "
        string += str2
    else:
        str2 = " "
        for i in range(arr[p-1], p+k):
            str2 += str(arr[i]) + " "
        string += str2
    if string[-2] != str(arr[-1]) and string[-2] != ')':
        string += ">>"
    print(string)

arr = input().split(" ")
solution(int(arr[0]), int(arr[1]), int(arr[2]))
