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())

d = [""]*(2*k+1)
m=0
for i in range(-k,k+1):
    if i == 0:
        d[m]="("+str(p)+")"
    elif p+i <= n and p+i >= 1:
        d[m]= str(p+i)
    m = m+1

if '' in d:
    d.remove('')    
print(d) 
check = "(" + str(n) + ")"

if not "1" in d and not "(1)" in d:
    d.insert(0,"<<")
if not str(n) in d and not check in d:
    d.insert(len(d),">>")

print(' '.join(d))