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=map(int,input().split(" "));     
l=[]
l.append(p)
for i in range(1,k+1):
    if (i+p) > n:
        break;
    else:
        l.append(p+i)
for i in range(1,k+1):
    if p-i==0:
        break;
    else:
        l.append(p-i)
l.sort()
for i in range(len(l)):
    if i==0 and l[i]!=p :
        if l[0]!=1:
            print("<<",end=" ")
            print(l[0],end=" ")
        else:
            print(l[0],end=" ")
    elif i==(len(l)-1) and l[i]!=p:
        if l[i]!=n:
            print(l[i],end=" ")
            print(">>")
        else:
            print(l[i])
    elif l[i]==p:
        print("(",end="")
        print(l[i],end="")
        print(")",end=" ")
    else:
        print(l[i],end=" ")
        
            
            
