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, p, k = map(int, input().split())

navigation = ""

# If page 1 is in the navigation, the button "<<" must not be printed.
if p - k > 1:
    navigation += "<< "
    
for i in range(max(1, p - k), min(n + 1, p + k + 1)):
    # If the page number is smaller than 1 or greater than n, it must not be printed.
    if i < 1 or i > n:
        continue
    # If someone clicks on a number, he is redirected to the corresponding page.
    if i == p:
        navigation += "(" + str(i) + ") "
    else:
        navigation += str(i) + " "

# If page n is in the navigation, the button ">>" must not be printed.
if p + k < n:
    navigation += ">>"

print(navigation)
