poj 2954 Triangle 题意 给出一个三角形的三个点,问三角形内部有多少个整点. 解法 pick's law 一个多边形如果每个顶点都由整点构成,该多边形的面积为\(S\),该多边形边上的整点为\(L\),内部的整点为\(N\),则有: $ N + L/2 - 1 = S $ 而对于两个点\(A(x_1,y_1)\)与\(B(x_2,y_2)\),其边内部的整点数为:(不包含端点) $ gcd ( abs(x_1 - x_2) , abs(y_1 - y_2) ) - 1 $ 代码如…

链接:http://poj.org/problem?id=2954 Triangle Time Limit: 1000MS   Memory Limit: 65536K Total Submissions: 5043   Accepted: 2164 Description A lattice point is an ordered pair (x, y) where x and y are both integers. Given the coordinates of the vertices…

Triangle Time Limit: 3000MS   Memory Limit: 30000K Total Submissions: 8917   Accepted: 2650 Description Given n distinct points on a plane, your task is to find the triangle that have the maximum area, whose vertices are from the given points. Input…

Area Time Limit: 1000MS   Memory Limit: 10000K Total Submissions: 5227   Accepted: 2342 Description Being well known for its highly innovative products, Merck would definitely be a good target for industrial espionage. To protect its brand-new resear…

Triangle Time Limit: 3000MS   Memory Limit: 30000K Total Submissions: 9525   Accepted: 2845 Description Given n distinct points on a plane, your task is to find the triangle that have the maximum area, whose vertices are from the given points. Input…

题链: http://poj.org/problem?id=2079 题解: 计算几何,凸包,旋转卡壳 复杂度O(N^2),(O(N)什么的就不说了,我觉得我看过的O(N)方法正确性都有问题,虽然有些AC了,那应该是鲁棒性太强了,谁叫他们非要每挪动一步都取MAX的呢) 做法: (三角形的三个顶点在凸包的顶点上,同时显然三角形的底边不一定为凸包的边啦!) 枚举i,j两点,使得有向线段$\vec{ij}$作为三角形底边. 然后在有向线段$\vec{ij}$的右侧区域(凸包上),寻找k点使得三角形ij…

The Triangle Time Limit: 1000MS   Memory Limit: 10000K Total Submissions: 47278   Accepted: 28608 Description 73 88 1 02 7 4 44 5 2 6 5 (Figure 1) Figure 1 shows a number triangle. Write a program that calculates the highest sum of numbers passed on…

Triangle Time Limit: 3000MS   Memory Limit: 30000K Total Submissions: 7625   Accepted: 2234 Description Given n distinct points on a plane, your task is to find the triangle that have the maximum area, whose vertices are from the given points. Input…

[题目链接] http://poj.org/problem?id=2079 [题目大意] 给出一些点,求出能组成的最大面积的三角形 [题解] 最大三角形一定位于凸包上,因此我们先求凸包,再在凸包上计算, 因为三角形在枚举了一条固定边之后,图形面积随着另一个点的位置变换先变大后变小 因此我们发现面积递减之后就移动固定边. [代码] #include <cstdio> #include <algorithm> #include <cmath> #include <ve…

Triangle Time Limit: 3000MS   Memory Limit: 30000KB   64bit IO Format: %I64d & %I64u Submit Status Description English Vietnamese Given n distinct points on a plane, your task is to find the triangle that have the maximum area, whose vertices are from…