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*)
x=list(map(int,input().split()))
f=""
f=" "+f+"("+str(x[1])+")"+" "
y=x[2]
i=1
zs=x[1]
zm=x[1]
while(y>0):
  if(zm<x[0]):
    zm+=1
    f=f+str(x[1]+i)+" "
  if(zs>1):
    zs-=1
    f=" "+str(x[1]-i)+f
  i+=1
  y-=1
ff=f[1:len(f)]
if(zs>1):
  ff="<<"+" "+ff
if(zm<x[0]):
  ff=ff+" "+">>"
print(ff)
  