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(i) for i in input().split()]
a=(2*k+1)*[0]
z=p-k
for i in range(2*k+1):
    a[i]=z+i
b=a[:]
#print(len(b),len(a))
for i in range(2*k,-1,-1):
    #print(len(a))
    #print(i)
    if a[i]<1 or a[i]>n:
        b.pop(i)
#print(b)
z='('+str(p)+')'
z2=b.index(p)
x=''
print(z2)
if 1 not in b:
    x+='<< '
for i in range(z2):
    x+=str(b[i])+' '
x+=z+' '
if n  not in b:
    for i in range(z2+1,len(b)):
        x+=str(b[i])+' '
    x+='>>'
else:
    for i in range(z2+1,len(b)):
        x+=str(b[i])+' '
print(x)
