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*)
import math,string,itertools,fractions,heapq,collections,re,array,bisect
from itertools import chain, dropwhile, permutations, combinations
from collections import defaultdict


def main(n,p,k):
    x = range(p-k,p+k+1)
    x = [j for j in x if j >=1 and j <= n]
    if 1 not in x:
        print("<< ",end="")
    for j in range(max(1,p-k),p):
        print(str(j),end=" ")
    print("("+str(p)+") ",end="")
    for j in range(p+1,min(p+k,n)+1):
        print(str(j),end=" ")
    if n not in x:
        print(">>")


def main_input(info=0):
    n,p,k = map(int,input().split())
    #t = [(int(x)-1,i+1) for i,x in enumerate(input().split())]
    #l,r = list(range(n)), list(range(n))
    #for i in range(n):
    #    l[i],r[i] = map(int,input().split())
#    t = [map(int,input().split()) for x in range(n)]
    main(n,p,k)

if __name__ == "__main__":
    main_input()
