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=input().split()
n=int(a[0])
p=int(a[1])
k=int(a[2])
s=''
if (p-k)>1:
    s='<<'
for i in reversed(range(1,k+1)):
    if (p-i)>=1:
        s=s+f' {p-i}'
s=s+f' ({p})'
for i in range(1, k+1):
    if (p+i)<=n:
        s=s+f' {p+i}'
if n-(p+k)>0:
    s=s+f' >>'
print(s)