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*)
inp = list(map(int, input().split()))
flag = False
end = (1 + inp[2] * 2)
if inp[1] < inp[2] :
     temp = inp[1]
     inp[1] = inp[2]
     inp[2] = temp 
     flag = True

if  inp[1] - inp[2] > 1 :
        print('<<', end = ' ')

for i in range(1 , (1 + inp[2] * 2)) :
    if (i == inp[1] and flag == False ) or (i == inp[2] and flag == True):
        print(f'({i})', end= ' ')
    else :
         print(i, end=' ')
    
    if i == inp[0] :
         break
    
    
if end < inp[0] :
      print('>>')
    