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*)
def main():
    x: list = list(map(int, input().split()))
    n: int = x[0]
    p: int = x[1]
    k: int = x[2]
    tmp: list = list()

    if p is not 1:
        print('<<', end=' ')

    for i in range(k + 1):
        x: int = p - i
        if x is p:
            tmp.append('(' + str(x) + ')')
        else:
            tmp.append(str(x))

    tmp.reverse()
    print(' '.join(tmp), end=' ')
    tmp.clear()

    for i in range(k + 1):
        x: int = p + i
        if x is n:
            tmp.append(str(x))
            break
        elif x is p:
            continue
        else:
            tmp.append(str(x))

    print(' '.join(tmp), end=' ')

    if int(tmp[len(tmp) - 1]) is not n:
        print('>>')


if __name__ == '__main__':
    main()
