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(' '))

v=[x for x in range(p-k,p+k+1)]

nv=list()

for c in v:
    if c>0 and c<=n:
        nv.append(c)

v=nv

if v[0]!=1:
    v.insert(0,'<<')
if v[len(v)-1]!=n:
    v.append('>>')

pin=v.index(p)
v[pin]='('+str(p)+')'

for c in v:
    print(c,end=' ')
