Little Petya likes to draw. He drew N red and M blue points on the plane in such a way that no three points lie on the same line. Now he wonders what is the number of distinct triangles with vertices in red points which do not contain any blue point…

题目传送门 传送点I 传送点II 传送点III 题目大意 给定$n$的平面上的直线,保证没有三条直线共点,两条直线平行.问随机选出3条直线交成的三角形面积的期望. 显然$S=\frac{1}{2}ah$是不可用的.(压根感觉不可优化) 考虑向量的做法:$S = \frac{1}{2}(A \times B + B \times C + C\times A)$.(相当于把一个三角形拆成了三个以原点作为其中一个顶点的"有向"三角形) 于是考虑利用向量叉积对向量加法的分配律进行优化. 枚举第…

Codeforces 15E Triangles Last summer Peter was at his granny's in the country, when a wolf attacked sheep in the nearby forest. Now he fears to walk through the forest, to walk round the forest, even to get out of the house. He explains this not by t…

大致题意: 给出N个红点和M个蓝点,问可以有多少个红点构成的三角形,其内部不含有蓝点 假设我们现在枚举了一条线段(p[i],p[j]),我们可以记录线段下方满足(min(p[i].x,p[j].x)<x<=max(p[i].x,p[j].x) 的数量  时间复杂度为O(N*N*M) 那么我们就可以枚举三角形O(1)判断三角形内有无红点. #include<cstdio> #include<iostream> #include<cstring> #includ…

Last summer Peter was at his granny's in the country, when a wolf attacked sheep in the nearby forest. Now he fears to walk through the forest, to walk round the forest, even to get out of the house. He explains this not by the fear of the wolf, but…

https://codeforces.com/contest/1060/problem/E 题意 给一颗树,在原始的图中假如两个点连向同一个点,这两个点之间就可以连一条边,定义两点之间的长度为两点之间的最少边数,求加边之后任意两点长度之和 思路 一看到求任意两点,知道需要用每条边的贡献计算(每条边使用了多少次) 每条边的贡献等于边左边的点数*边右边的点数 然后就一直不知道怎么解决加边后的问题,不知道要标记哪些东西,怎么减去 单独看一条路径,加边之后, 假如边数是偶数的话,边数/2 假如边数是奇数…

主题链接:点击打开链接 #include<stdio.h> #include<iostream> #include<string.h> #include<set> #include<vector> #include<map> #include<math.h> #include<string> #include<stdlib.h> #include<algorithm> using nam…

Background Professor Hopper is researching the sexual behavior of a rare species of bugs. He assumes that they feature two different genders and that they only interact with bugs of the opposite gender. In his experiment, individual bugs and their in…

C. Gerald's Hexagon time limit per test 2 seconds memory limit per test 256 megabytes input standard input output standard output Gerald got a very curious hexagon for his birthday. The boy found out that all the angles of the hexagon are equal to .…

F Fighting for Triangles Description Andy and Ralph are playing a two-player game on a triangular board that looks like the following: 1 234 5 7 86 910 11 13 14 16 1712 15 18 At each turn, a player must choose two adjacent vertices and draw a line se…