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*)
array = input().split()
array = list(map(lambda x: int(x) if x.isdigit() else 0, array))
l = 0
h = 0
if(array[1]+array[2]>=array[0]):
    h = array[0]
else:
    h=array[1]+array[2]
if(array[1]-array[2]<=1):
    l=1
else:
    l=array[1]-array[2]
if(array[1]-array[2] > 1 ):
    print("<<",end=' ')
for i in range(l,h+1):
    if(i==array[1]):
        print('(',end='')
        print(i,end='')
        print(')',end = ' ')
    else:
        print(i,end=' ')
if(array[1]+array[2]<array[0]):
    print(">>",end=' ')