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 Print(num, n):
	if num > 0 and num <= n:
		print(num, end=' ')

def main():
	_input = list(map(int, input().split()))
	n, p, k = _input[0], _input[1], _input[2]
	if p - k > 1:
		print('<< ', end=' ')
	for page in range(p - k, p):
		Print(page, n)
	print('('+str(p)+') ', end='')
	for page in range(p+1, p+k+1):
		Print(page, n)
	if p + k < n:
		print('>> ')


if __name__ == '__main__':
	main()