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*)
n, p, k = map(int, input().split())
a=[p-i for i in range(k, -k -1, -1)]
if 1 in a and n in a:
    for i in range(a.index(1), len(a)):
        if a[i]<n  and a[i] != p and a[i]!=n:
            print(a[i], end=' ')
        elif a[i]==p:
            print("({})".format(p), end= ' ')
        elif a[i]==n:
            print(n, end=' ')
            break
elif 1 not in a and n in a:
    print("<<", end=' ')
    for i in range(len(a)):
        if a[i]>0 and a[i] != p and a[i]!=n:
            print(a[i], end=' ')
        elif a[i]==p:
            print("({})".format(p), end= ' ')
        elif a[i]==n:
            print(n, end=' ')
            break
elif 1 in a and n not in a:
    for i in range(a.index(1), len(a)):
        if a[i]<n  and a[i] != p:
            print(a[i], end=' ')
        elif a[i]==p:
            print("({})".format(p), end=' ')
        elif a[i]>n:
            break
    print(">>")
elif 1 not in a and n not in a:
    print("<<", end=' ')
    for i in range(len(a)):
        if a[i]>0 and a[i] != p and a[i]!=n:
            print(a[i], end=' ')
        elif a[i]==p:
            print("({})".format(p), end=' ')
        elif a[i]>n:
            break
    print(">>")