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*)
R = lambda:[*map(int,input().split())]
n,p,k = R()
out = '('+str(p)+') '
bef = ''
aft = ''
if(p>1):
    j=0
    while(j!=k):
        if(p-k+j>0):
            bef+=str(p-k+j)+' '
        j+=1
    if (p-k>1):
        out = '<< '+bef+out
    else:
        out = bef+out
j=k
while(j!=0):
    if(p+k-j<=n):
        aft+=str(p+k-j)+' '
    j-=1
if aft.find(str(n))==-1:
    out = out+aft+'>>'
print(out)

