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 solve(n, p, k):
    res = []
    if 1 <= p <= n:
        arr = [p + x for x in range(-k, k + 1, 1) if 1 <= (p + x) <= n]
        if arr[0] != 1:
            res.append("<<")
        for a in arr:
            if a == p:
                res.append("(%d)" % a)
            else:
                res.append("%d" % a)
        if arr[-1] != n:
            res.append(">>")
        return " ".join(res)


def main():
    n, p, k = list(map(int, input().split()))
    print(solve(n, p, k))


if __name__ == '__main__':
    main()
