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 pages():
    num = input()
    n = int(num.split(' ')[0])
    p = int(num.split(' ')[1])
    k = int(num.split(' ')[2])
    pk1 = p - k
    pk2 = p + k
    if pk1 < 1:
        pk1 = 1
    if pk1 != 1:
        print('<<', end=' ')
    for i in range(pk1,p+k+1):
        if i == p:
            print('(%i)'%i,end=' ')
        elif i <= p + k and i <= n:
            # print(i,p+k)
            print('%i'%i,end=' ')
    if p + k < n:
        print('>>',end='')
pages()