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*)
# cook your dish here
n,p,k = map(int,(input()).split())
result_list = ['({p})'.format(p=p)]
end=beg=p
if p<n:
    for i in range(k):
        if end>=n:
            break
        end+=1
        result_list.append(end)
    if end<n:
        result_list.append('>>')
if p>1:
    for i in range(k):
        if beg<=1:
            break
        beg-=1
        result_list.insert(0,beg)
    if beg>1:
        result_list.insert(0,'<<')
for i in result_list:
    print(i,end=' ')