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*)
import sys

def input():
    return sys.stdin.readline().strip()

def int_input():
    return int(input())

def input_in_line():
    return map(int, input().split())

def main():
    n, s, k = input_in_line()
    a = []
    if s - k > 1:
        a += ['<<']
    for i in range(max(1, s - k), min(s + k, n) + 1):
        a += ['(' * int(i == s) + str(i) + ')' * int(i == s)]
    a += ['>>' * int(s + k < n)]
    print( *a )
main()