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*)
def printer(n, p, k):
    ch_left = ""
    ch_right = ""
    t1 = True
    t2 = True

    for i in (range(p - 1, p - k - 1, -1)):
        if i == 0:
            t1 = False
            break

        ch_left = str(i) + " " + ch_left

        if i == 1:
            t1 = False
            break

    ch_left = "<< " * t1 + ch_left

    for i in (range(p + 1, p + k + 1)):
        if i == n+1:
            t2 = False
            break
        ch_right += str(i) + " "
        if i == n:
            t2 = False
            break
    ch_right += ">>" * t2
    print(ch_left + "(" + str(p) + ")", ch_right)


def main():
    n, p, k = input().split()
    printer(int(n), int(p), int(k))


# main
if __name__ == "__main__":
    main()
