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*)
while True:
    get_input = input("\nКол-во страниц; Текущая страница; Кол-во отображаемых страниц: ")
    pages_count = int(get_input.split()[0])
    page = int(get_input.split()[1]) - 1
    visible_pages_count = int(get_input.split()[2])

    if page - visible_pages_count > 0:
        print('<<', end=' ')

    for i in range(0, visible_pages_count*2+1):
        if pages_count > i+page-visible_pages_count > -1:
            if i+page-visible_pages_count == page:
                print(f'({i + page - visible_pages_count + 1})', end=' ')
            else:
                print(i+page-visible_pages_count + 1, end=' ')

    if page + visible_pages_count < pages_count-1:
        print('>>', end='')
