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())
s=""
q=0
for i in range(p-k,p+k+1,1):
    if(i<1 or i>n):
        continue
    if(i==1):
        if i==p:
            s+="(1)"+" "
            continue
        else:
            s+="1"+" "
            continue
    elif(i==n):
        if i==p:
            s+="("+str(n)+")"
            break
        else:
            s+=str(n)
            break
    if i==(p-k):
        s+="<< "

    if(i==p):
        s += "(" + str(i) + ") "
    else:
        s += str(i)+" "
    if i == (p + k):
        s += ">>"
print(s)
 				 		 	  	   		 						   	 	