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

# -*- coding: utf-8 -*-
sys.stdin = open('input.txt', encoding='utf8')
sys.stdout = open('output.txt', encoding='utf8', mode='w')

n, p, k = input().split()
n, p, k = int(n), int(p), int(k)
a = []
tmp_str = '(' + str(p) + ') '
if p + k >= n:
    for i in range(p+1, n + 1):
        tmp_str = tmp_str + str(i) + ' ' if i != n else tmp_str + str(i)
elif p + k < n:
    for i in range(p+1, p+k+1):
        tmp_str += str(i)+' ' if i!=p+k else str(i)+' >>'

# left side
a = []
s = ''
for i in range(p - k, p):
    if i > 0:
        a.append(i)
if len(a) > 0 and a[0] != 1:
    s = "<< "
    for x in a:
        s += str(x) + ' '
else:
    for x in a:
        s += str(x) + ' '
print(s + tmp_str)
