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, b, c = map(int, input().split(" "))
# a → limit b→now c → range


ll = max(1, b-c)
rl = min(a, b + c )


left = [i for i in range(b - 1, ll-1, -1)]
right = [i for i in range(b + 1, rl + 1)]
print(right)
l_bar = "<<"
if ll == 1:
    l_bar = ""

r_bar = ">>"
if rl == a:
    r_bar = ""
left.reverse()


print(l_bar, *(left), "({})".format(b), *(right), r_bar)

