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*)
n, current_page, k = input().split()
n, current_page, k = int(n), int(current_page), int(k)
s = ""

i = current_page - k
jump = 2*k+1

if i <=0:
    jump -= abs(i)+1
    i = 1

if current_page == 1:
    jump = k+1

if i != 1:
    s += "<< "

for j in range(i, i+jump):
    if j == current_page:
        s += "(" + str(j) + ")"
    else:
        s += str(j)

    if j == n:
        break

    if j != i+jump-1:
        s+=" "


if j < n:
    s += " >>"

print(s)