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*)
#!/usr/bin/env python
# coding: utf-8

# In[31]:


import sys, math, random
inp = sys.stdin.read().split()
inp = [int(i) for i in inp]
a = '<<'
b = '>>'
c = '('
d = ')'
n = inp[0]
p = inp[1]
k = inp[2]
r = list(range(p-k, p+k+1))
end = b
start = a
mid = []
for i in r:
    if i >= n:
        end = n
        continue
    elif i <= 1:
        start = 1
        continue
    else:
        mid.append(i)
note = []
note.append(start)
note.extend(mid)
note.append(end)
for i in note:
    if i == p:
        print(c + str(i) + d, end = ' ')
    else:
        print(i, end = ' ')

