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*)
_ = input().strip().split(' ')
n = int(_[0])
p = int(_[1])
k = int(_[2])
# print(n, p, k)
cnt = p - k
if cnt < 1:
    while cnt < 1:
        cnt += 1
if cnt != 1:
    print('<< ',end='')
while cnt <= n and cnt <= (p + k):
    if cnt == p:
        print('(%d) '%cnt, end='')
    else:
        print(cnt, end=' ')
    cnt += 1
if cnt != n:
    print('>>')