CF399A.Pages

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:

<< p - k p - k + 1 ... p - 1 (p) p + 1 ... p + k - 1 p + k >>

When someone clicks the button "<<" he is redirected to page 1, and when someone clicks the button ">>" 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 "<<" must not be printed.
• If page n is in the navigation, the button ">>" 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.

用户 ainta 正在制作一个网站。这次他将为网页设计导航栏。在他的网站中，共有 $n$ 个页面，编号为从 $1$ 到 $n$ 的整数。假设当前用户位于第 $p$ 页，则导航栏将显示如下形式：

<< $p\,-\,k$ $p\,-\,k\,+\,1$ ... $p\,-\,1$ ($p$) $p\,+\,1$ ... $p\,+\,k\,-\,1$ $p\,+\,k$ >>

当用户点击按钮 << 时，将跳转至第 $1$ 页；当用户点击按钮 >> 时，将跳转至第 $n$ 页。当然，若用户点击某个数字，则跳转至对应页面。

导航栏需满足以下条件：

• 若第 $1$ 页出现在导航栏中，则不得显示按钮 <<；
• 若第 $n$ 页出现在导航栏中，则不得显示按钮 >>；
• 若某页面编号小于 $1$ 或大于 $n$，则该编号不得显示。

你可以参考一些导航栏的示例。请编写一个程序，输出符合上述要求的导航栏。

The first and the only line contains three integers n, p, k (3 ≤ n ≤ 100; 1 ≤ p ≤ n; 1 ≤ k ≤ n)

第一行且唯一一行包含三个整数 $n$、$p$、$k$（$3 \leq n \leq 100$；$1 \leq p \leq n$；$1 \leq k \leq n$）

Print the proper navigation. Follow the format of the output from the test samples.

输出正确的导航信息。请遵循测试样例中的输出格式。