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*)
def main():


	s = list(map(int,input().split()))
	n,p,k = [s[0],s[1],s[2]]
	y,z = 0,0
	prefix = ''
	suffix = ''
	
	if p-k > 1:
		prefix = "<< "
	if p+k < n:
		suffix = ">>"

	print(prefix,end="")
	
	z = n if p+k > n else p+k
	y=1 if p-k < 1 else p-k

	for i in range(y,z+1):
		if i == p:
			print("({})".format(p),end=' ')
		else:
			print(i,end=" ")
	print(suffix)



if __name__ == '__main__':
	main()