8159: Modern Art 2

内存限制:128 MB 时间限制:1 S 标准输入输出
题目类型:传统 评测方式:文本比较 上传者:
提交:18 通过:12

题目描述

Having become bored with standard 2-dimensional artwork (and also frustrated at others copying her work), the great bovine artist Picowso has decided to switch to a more minimalist, 1-dimensional style.

Although, her paintings can now be described by a 1-dimensional array of colors of length NN (1≤N≤100,0001≤N≤100,000), her painting style remains unchanged: she starts with a blank canvas and layers upon it a sequence of "rectangles" of paint, which in this 1-dimensional case are simply intervals. She uses each of the colors 1…N1…N exactly once, although just as before, some colors might end up being completely covered up by the end.

To Picowso's great dismay, her competitor Moonet seems to have figured out how to copy even these 1-dimensional paintings, using a similar strategy to the preceding problem: Moonet will paint a set of disjoint intervals, wait for them to dry, then paint another set of disjoint intervals, and so on. Moonet can only paint at most one interval of each color over the entire process. Please compute the number of such rounds needed for Moonet to copy a given 1-dimensional Picowso painting.

现在给你一个长度为N(N≤1e5)的画条

上面有若干种颜色,每位的数字表示一种颜色,0表示没有涂色

为了快捷,每次涂色可以用一种颜色填充一个区间,同一种颜色只能使用一次

每次可以涂色好几次,但是这些区间必须分别连续切两两不能相交

然后等待1day油漆干了后再同样操作,输出创作完成并全干了后的最少时间

输入格式

The first line of input contains NN, and the next NN lines contain an integer in the range 0…N0…N indicating the color of each cell in the 1-dimensional painting (0 for a blank cell).

第一行为N,画条长度

一下N行每行一个数表示颜色


输出格式

Please output the minimum number of rounds needed to copy this painting, or -1 if this could not have possibly been an authentic work of Picowso (i.e., if she could not have painted it using a layered sequence of intervals, one of each color).
输出一个整数表示最少天数。数据若不合法则输出-1

输入样例 复制

7
0
1
4
5
1
3
3

输出样例 复制

2

数据范围与提示

In this example, the interval of color 1 must be painted in an earlier round than the intervals of colors 4 and 5, so at least two rounds are needed.