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 = list(map(int, input().split()))
res = ""
if p-k > 1:
    res += "<< "
if p-k >= 1 and k > 1:
    res += str(p-k)+" "
if p-k+1 >= 1 and k > 2:
    res += str(p-k+1)+" "
if p-1 >= 1:
    res += str(p-1)+" "
if 1<=p and p<=n:
    res += "("+str(p)+")"
if p+1 <= n:
    res += " "+str(p+1)
if p+k-1 <= n and k > 2:
    res += " "+str(p+k-1)
if p+k <= n and k > 1:
    res += " "+str(p+k)
if p+k < n:
    res += " >>"
print(res)
    
