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 = map(int, input().split())
s = [i for i in range(p - k, p + k + 1) if (i > 0 and i <= n)]
ans = ''
for x in s:
    if x == p:
        ans += ' (' + str(x) + ')'
    else:
        ans += ' ' + str(x)
ans = ans.lstrip()
if s[0] != 1:
    ans = ans[::-1]
    ans += ' <<'
    ans = ans[::-1]
if s[-1] != n:
    ans += ' >>'
print(ans)
