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())
s = "("+str(p)+")"
check_1 = 0 + (1 if p==n else 0)
check_2 = 0 + (1 if p==1 else 0)
i = 1
while i<=k and p+i <=n:
    if p+i == n:
        check_1 = 1
    s = s + " " + str(p+i)
    i+=1
i = 1
while i<=k and p-i>=1:
    if p-i == 1:
        check_2 = 1
    s = str(p-i) + " " + s
    i+=1
if check_1 == 0:
    s = s + " >> "
if check_2 == 0:
    s = "<< " + s
print(s)
