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*)
x= list(map(int,input().split()))
lista=[]
for i in range(-x[2],x[2]+1):
    if x[1]+i>x[0] or (x[1]+i)<=0:
        continue
    else:
        lista.append(x[1]+i)
n= lista[:]
n[n.index(x[1])]="("+str(x[1])+")"
n= list(map(str,n))
n= " ".join(n)
if lista[0]>1 and lista[-1]<x[0]:
    print("<<",n,">>")
elif lista[0]>1:
    print("<<",n)
elif lista[-1]<x[0]:
    print(n,">>")
else:
    print(n)