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*)
X = list(map(int, input().split()))
Pages = [str(i + 1) for i in range(X[0])]
Pages[X[1] - 1] = '(' + Pages[X[1] - 1] + ')'
if X[-1] <= X[1] - X[-1]:
    print("<< ", end="")
print(*Pages[max(0, X[1] - X[-1] - 1):min(X[0], X[1] + X[-1])], end=" ")
if X[1] < X[0] - X[-1]:
    print(">>")

# Caption: God bless you General Soleimani

#         ---------Hard Revenge---------

#          ****** Rest in Peace ******
