Segments

题意翻译

在坐标轴上给定 $n$ 条线段，有 $k$ 个点，使这 $n$ 条线段都至少有一个点在其上面（恰在端点也行）。 求 $k$ 的最小值，并给出一个 $k$ 最小时的方案。

题目描述

You are given $ n $ segments on the Ox-axis. You can drive a nail in any integer point on the Ox-axis line nail so, that all segments containing this point, are considered nailed down. If the nail passes through endpoint of some segment, this segment is considered to be nailed too. What is the smallest number of nails needed to nail all the segments down?

输入输出格式

输入格式

The first line of the input contains single integer number $ n $ ( $ 1<=n<=1000 $ ) — amount of segments. Following $ n $ lines contain descriptions of the segments. Each description is a pair of integer numbers — endpoints coordinates. All the coordinates don't exceed 10000 by absolute value. Segments can degenarate to points.

输出格式

The first line should contain one integer number — the smallest number of nails needed to nail all the segments down. The second line should contain coordinates of driven nails separated by space in any order. If the answer is not unique, output any.

输入输出样例

输入样例 #1

2
0 2
2 5

输出样例 #1

1
2 

输入样例 #2

5
0 3
4 2
4 8
8 10
7 7

输出样例 #2

3
7 10 3

题意翻译

在坐标轴上给定 $n$ 条线段，有 $k$ 个点，使这 $n$ 条线段都至少有一个点在其上面（恰在端点也行）。 求 $k$ 的最小值，并给出一个 $k$ 最小时的方案。