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())


def selectPages():
    menuNums = []
    for i in range(k + 1):
        if p - i < 1:
            break
        menuNums.insert(0, p - i)
    for i in range(p + 1, k + p + 1):
        if i > n:
            break
        menuNums.append(i)
    return menuNums


def navigate(array):
    menu = ""
    if p - k > 1:
        menu += "<<"
    for x in array:
        if x == p:
            menu += " (" + str(x) + ")"
        else:
            menu += " " + str(x)
    if p + k < n:
        menu += " >>"
    return menu.lstrip()


print(navigate(selectPages()))
