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 = input().split()

if int(inp[1]) < int(inp[2]) :
     temp = inp[1]
     inp[1] = inp[2]
     inp[2] = temp 

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

if int(inp[1] == 1) :
      start = 1
else :
    start = int(inp[1]) - int(inp[2])

end = int(inp[1]) + int(inp[2])
for i in range(start, end+1) :
    if i == int(inp[1]) :
          print(f'({i})' , end = ' ')
    else :
        print(i, end = ' ')

if end < int(inp[0]) :
      print('>>')
    