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())

rightArrow = ">>"
leftArrow = "<< "

s = ""
startingIndex = 0
endingIndex = 0

if(p - k <= 1):
    startingIndex = 1
else:
    startingIndex = p-k
    s += leftArrow

if(p+k >= n):
    endingIndex = n
else:
    endingIndex = p+k

for i in range(startingIndex, endingIndex + 1):
    if(i is p):
        s += "("+str(i)+") "
    else: 
        s += str(i) + " "
if(p+k < n):
    s += rightArrow
print(s)