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*)
entrada = list(map(int,(input().split())))
enumeracion = entrada[0]
posicion = entrada[1]
pag_de_lado = -(entrada[2])
pag_lado = pag_de_lado - 1
cadena = ''
for i in range((entrada[2]*2) +1):
    pag_lado +=1
    if (posicion + pag_lado) <= 0 or (posicion + pag_lado) > enumeracion:
        continue
    cadena += str(posicion + pag_lado)
pos = cadena.index(str(posicion))
for h in range(len(cadena)):
    if cadena[h] != '1' and h == 0:
        print('<<', end=' ')
    if cadena[h] == str(posicion):
        print('('+cadena[h]+')', end = ' ')
    elif cadena[h] == '1' and h == 0 :
        print(cadena[h], end= ' ')
    elif cadena[h] == str(enumeracion):
        print(cadena[h], end= '')
    else:
        print(cadena[h], end= ' ')
    if str(enumeracion) != cadena[h] and h == max(range(len(cadena))):
        print('>>', end = '')
