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_arry = [int(i) for i in input().split()][:3]
print(n_arry)
n=n_arry[0]
p=n_arry[1]
k=n_arry[2]
if (p-k)>0:
    print('<<',end=' ')
if p-k>0:
    for i in range((k),0,-1):
        if p-i>0 and i >0:
            print(p-i,end=' ')
elif p-k-1<0:
    for a in range(1,p):
        print(a, end=' ')
print('(',p,')',sep='',end = ' ')
for i in range(1,k+1):
    if p+i<=n:
        print(p+i,end=' ')

if p+k<n:
    print('>>')