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 = input().split()
n, p, k = int(n), int(p), int(k)
q = str(p)
q = '('+q+')'

a = [p]
for i in range (k):
    if (p-i-1)<1:
        break
    else:
        a = [p-i-1]+a
for i in range (p+1,p+k+1):
    if (i)>n:
        break
    else:
        a = a+[i]

if a[0]>1:
    a = ['<<']+a
if a[len(a)-1]<n:
    a = a+['>>']
for i in range(len(a)):
    if a[i]==p:
        a[i]=q
        break
        
print(*a, sep = ' ')