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*)
# -*- coding: utf-8 -*-
"""
Created on Tue Dec  3 11:21:28 2019

@author: CronuS
"""

s = list(map(int, input().split()))
n = s[0]; p = s[1]; k = s[2]
s = '(' + str(p) + ')'
for i in range(min(k, p - 1)):
    s = str(p - 1 - i) + ' ' + s
for i in range(min(k, n - p)):
    s = s + ' ' + str(p + 1 + i)
if (p - 1 > k):
    s = '<< ' + s
if (n - p > k):
    s = s + ' >>'
print(s)