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 main():
    n,p,k = input().split()
    n = int(n)
    p = int(p)
    k = int(k)
    s = ""
    if p -k > 1 and p + k <n :
        s = s + "<< "
        for i in range(p-k , p + k + 1):
            if i == p:
                s = s + '(' + str(i) + ')' + " "
            else:
                s = s + str(i) + " "
        s = s + ">>"
    if p - k <= 1 and p + k< n:
        for i in range(1, p + k + 1):
            if i == p:
                s = s + '(' + str(i) + ')' + " "
            else:
                s = s + str(i) + " "
        s = s + ">>"
    if p + k >= n and p - k > 1:
        s = s + "<<"
        for i in range(p - k, n):
            if i == p:
                s = s + '(' + str(i) + ')' + " "
            else:
                s = s + str(i) + " "
    if p - k <= 1 and p + k >= n:
        for i in range(1,n):
            if i == p:
                s = s + '(' + str(i) + ')' + " "            
            else:
                s = s + str(i) + " "
    print(s)
if __name__ == "__main__":
    main()