ZUFEOJ Home ProblemSet Source/Category Contest Status Ranklist F.A.Qs
Login Register

4677: Contact

内存限制：256 MB 时间限制：2 S
题面：传统 评测方式：文本比较 上传者：
提交：2 通过：2
提交提交记录统计Web Board

题目描述

time limit per test
3 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output
Little Petya is preparing for the first contact with aliens. He knows that alien spaceships have shapes of non-degenerate triangles and there will be exactly 4 ships. Landing platform for a ship can be made of 3 special columns located at some points of a Cartesian plane such that these 3 points form a triangle equal to the ship with respect to rotations, translations (parallel shifts along some vector) and reflections (symmetries along the edges). The ships can overlap after the landing.
Each column can be used to land more than one ship, for example, if there are two equal ships, we don't need to build 6 columns to land both ships, 3 will be enough. Petya wants to know what minimum number of columns will be enough to land all ships.
Input
Each of 4 lines will contain 6 integers x1 y1 x2 y2 x3 y3 (0≤x1,y1,x2,y2,x3,y3≤20), representing 3 points that describe the shape of each of 4 ships. It is guaranteed that 3 points in each line will represent a non-degenerate triangle.
Output
First line should contain minimum number of columns enough to land all spaceships.
Examples
Input
0 0 1 0 1 2
0 0 0 2 2 2
0 0 3 0 1 2
0 0 3 0 2 2
Output
4
Input
0 0 0 1 1 1
0 0 0 2 2 2
0 0 0 5 5 5
0 0 0 17 17 17
Output
9
Note
In the first test case columns can be put in these points: (0,0),(1,0),(3,0),(1,2). Note that the second ship can land using last 3 columns.
In the second test case following points can be chosen: (0,0),(0,1),(1,0),(0,2),(2,0),(0,5),(5,0),(0,17),(17,0). It is impossible to use less than 9 columns.

输入样例 复制

输出样例 复制

分类标签