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=[int(x) for x in input().split()]
L=[]
L.append("("+str(p)+")")
i=1
while (p-i>=1) and (i<=k):
    L.insert(0,(str(p-i)))
    i=i+1
if p-i+1!=1:
    L.insert(0,"<<")
 
j=1
while (p+j<=n) and (j<=k):
    L.append(str(p+j))
    j=j+1
if p+j-1!=n:
    L.append(">>")
for i in range (len(L)-1):
    print(L[i],end=" ")
print(L[len(L)-1])