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*)
a=[int(i) for i in input().split(" ")]
n=a[0]
p=a[1]
k=a[2]
s=[]
a=range(max(1,p-k),min(n+1,p+k+1))
for i in a:
    if(i!=p):
        s.append(str(i))
    else:
        s.append('('+str(i)+')')
if(s[0]!='1' and s[0]!='(1)'):
    s[0]='<< '+s[0]
if(s[-1]!=str(n) and s[-1]!='('+str(n)+')'):
    s[-1]=s[-1]+' >>'
print(" ".join(s))