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*)
def myint(a):
    if a[0]=="(":
        a=a[1:-1]
    return int(a)
n,p,k = map(int, input().split())
ls=["("+str(p)+")"]
for i in range(1,k+1):
    if p+i<=n:
        ls.append(str(p+i))
start = p-k
if start<1: start=1
for i, x in enumerate(range(start,p)):
    ls.insert(i, str(x))
print(ls)
if myint(ls[0])>1:
    ls.insert(0,"<<")
if myint(ls[len(ls)-1])<n:            
    ls.append(">>")
print(" ".join(ls))