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*)
string = input()
l = string.split(" ")
n1,n2,n3 = int(l[0]),int(l[1]),int(l[2])
l = []
for i in range(n2-n3,n2+n3+1):
	if i>0 and i<=n1:
		l.append(i)

string = ""
for i in l:
	if i==n2:
		string += "("+str(i)+") "
	else:
		string += str(i)+" "

string = string[:-1]
if l[0]!=1:
	string = "<< "+string
if l[-1]!=n1:
	string = string + " >>"
print(string)