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 = int(n);p = int(p);k = int(k)

leftP = []
before = p-1
while len(leftP) < k and before >= 1:
    leftP.insert(0, str(before))
    before -= 1

rightP = []
after = p+1
while len(rightP) < k and after <= n:
    rightP.append(str(after))
    after += 1


pages = ["<< ", " ".join(leftP) + " ("+str(p)+") " + " ".join(rightP), " >>"]


if len(leftP) > 0:
    if int(leftP[0]) <= 2:
        pages.pop(0)
else:
    pages.pop(0)

if int(rightP[len(rightP)-1]) >= n:
    pages.pop()

print("".join(pages))

