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*)
s=input()
l=list(s.split(' '))
n=int(l[0])
p=int(l[1])
k=int(l[2])
j=k
l1=[]
l1.append("<<")
while(j):
    if p-j>=1:
        l1.append(str(p-j))
        j=j-1
    else:
        j=j-1
l1.append("("+str(p)+")")
for i in range(k):
    if p+(i+1)<=n:
        l1.append(str(p+(i+1)))
    else:
        break
l1.append(">>")
print(l1)
if '1' in l1:
    l1.remove('<<')
if str(n) in l1:
    l1.remove('>>')
for i in l1:
    if i!='n':
        print(i,end=" ")
    else:
        print(i)


    
    
