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*)
u=input("enter")
c=u.split()
n=c[0]
p=int(c[1])
k=int(c[2])
l=[]
for i in range (1,int(n)+1):
    l.append(str(i))
z= l[(p):((p-1)+(k+1))]
z=" ".join(z)
x= l[((p-1)-k):(p-1)]
y= l[(p-1)]
x=" ".join(x)
if x[0] =="1" and z[len(z)-1] ==n:
    print(x,"(",y,")",z)
elif x[0] =="1":
    print(x,"(",y,")",z,">>")
else:
    print("<<",x,"(",y,")",z,">>")    