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*)
#input
data_out = ""
data_in = input("")
params = data_in.split(" ", 3)
#check input 1
if (len(params) != 3):
    raise Exception("Wrong number of arguments")
totalpages = int(params[0])
currentpage = int(params[1])
navigationsize = int(params[2])
#check input 2
if (totalpages < 3 or totalpages > 100):
    raise Exception("Wrong argument")
if (currentpage < 1 or currentpage > totalpages):
    raise Exception("Wrong argument")
if (navigationsize < 1 or navigationsize > totalpages):
    raise Exception("Wrong argument")
#main code
s = currentpage - navigationsize - 1
e = currentpage + navigationsize
if (s > 1):
    data_out += "<< "
for i in range(s, e):
    page = i+1
    if (page == currentpage):
        data_out += "(%i) " % (page)
    else:
        if (page >= 1 and page <= totalpages):
            data_out += "%i " % (page)
if (e < totalpages):
    data_out += ">>"
#return result
print(data_out.strip())
