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*)
from sys import stdin
def main():
    h=[]
    c=[]
    j=[]
    x=stdin.readline().split()
    i=0
    while int(x[1])+1+i<=int(x[0]) and (i<int(x[2])):
        h.append(int(x[1])+i+1)
        i=i+1
    i=0
    while int(x[1])-1-i>=1 and (i<int(x[2])):
        c.append(int(x[1])-i-1)
        c.sort()
        i=i+1
    if len(c)>=1:
        if c[0]>1:
            c.insert(0,("<<"))
    if len(h)>=1:
        if int(x[0])>(h[len(h)-1]):
            h.append(str(">>"))
    g=str('('+x[1]+')').split()
    j=c+g+h
    for i in range (len(j)):
        j[i]=str(j[i])
    d=" ".join(j)
    print (d)           
        
main()