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*)
s = str(input())
npk = list(s.split(' '))


n = int(npk[0])
p = int(npk[1])
k = int(npk[2])

if(n>=p):
    if((p-k)>1):
        print("<< ", end = "")
    
    for i in range(max(1, p-k), min(n, p+k) + 1):
        if(i==p):
            print("(" + str(p) + ") ", end = "")
        else:
            print(str(i) + " ", end = "")
            
    if((p+k)<n):
        print(">>", end = "")