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=int(input())
p=int(input())
k=int(input())
print(n,p,k)
s=" "
arr=[]
val="("+str(p)+")"


arr.append(val)
i=1

while(i<=k):
    if((p+i)>n):
        break
    else:
        arr.append(str(p+i))
        i+=1
i=1    
while(i<=k):
    if((p-i)==0):
        break
    else:
        arr.insert(0,str(p-i))
        i+=1


if(int(arr[0])>1):
    arr.insert(0,"<<")
if(int(arr[-1])<n):
    arr.append(">>")
    
print(arr)
for i in arr:
    s+=i+" "

print(s)
