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*)
lst = []
n, p, k = map(int, input().split())
greater = True
smallest = True
answer = []
z = 0
c = 0
while (z != p):
    z = 0
    z = p - k + c
    c += 1
    if (z == 1):
        smallest = False
    if (z == n):
        greater = False
    if z < 1 or z > n:
        continue
    if z == p:
        answer.append(f"({z})")
        break
    answer.append(z)
c = k - 1
z = 0
while (z != p + k):
    z = 0
    z = p + k - c
    if z == 1:
        smallest = False
    if z == n:
        greater = False
    if z < 1 or z > n:
        continue
    if z == p:
        answer.append(f"({z})")
        break
    answer.append(z)
    c -= 1

if smallest == True:
    answer.insert(0, "<<")
if greater == True:
    answer.append(">>")
print(*answer)

