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) + ") "

    #left side
    rotation = p-2
    steps = k
    string_left = ""
    while rotation >= 0 and steps > 0:
        string_left = str(arr[rotation]) + " " + string_left
        rotation -= 1
        steps -= 1
    string = string_left + string
    left_arr = string_left.split(" ")
    if len(left_arr) > 0 and left_arr[0] != arr[0]:
        string = "<< " + string

    #right side
    rotation = p
    steps = k
    string_right = ""
    while rotation < n and steps > 0:
        string_right += str(arr[rotation]) + " "
        rotation += 1
        steps -= 1
    right_arr = string_right.split(" ")
    if len(right_arr) > 0 and right_arr[-1] != arr[-1]:
        string_right += ">>"
    string += string_right
    print(string)

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