Preparando MOJI
You have a long fence which consists of $$$n$$$ sections. Unfortunately, it is not painted, so you decided to hire $$$q$$$ painters to paint it. $$$i$$$-th painter will paint all sections $$$x$$$ such that $$$l_i \le x \le r_i$$$.
Unfortunately, you are on a tight budget, so you may hire only $$$q - 2$$$ painters. Obviously, only painters you hire will do their work.
You want to maximize the number of painted sections if you choose $$$q - 2$$$ painters optimally. A section is considered painted if at least one painter paints it.
The first line contains two integers $$$n$$$ and $$$q$$$ ($$$3 \le n, q \le 5000$$$) — the number of sections and the number of painters availible for hire, respectively.
Then $$$q$$$ lines follow, each describing one of the painters: $$$i$$$-th line contains two integers $$$l_i$$$ and $$$r_i$$$ ($$$1 \le l_i \le r_i \le n$$$).
Print one integer — maximum number of painted sections if you hire $$$q - 2$$$ painters.
7 5 1 4 4 5 5 6 6 7 3 5
7
4 3 1 1 2 2 3 4
2
4 4 1 1 2 2 2 3 3 4
3