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())
z = 1
pages = ""
if(p != 1 and (p-k) != 0):
    pages += "<< "
if(k<=p):
    for x in range (k):
        if(p-k+x == 0):
            continue
        pages += str(p-k+x) + " "
pages += "(" + str(p) + ") "
while(z <= k and (p+z)<=n):
    pages += str(p+z) + " "
    z+=1

if((p+z-1) != n):
    pages += ">>"
print(pages)