POJ 1265 Area （pick定理）

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poj 1265 Area (Pick定理+求面积)

链接:http://poj.org/problem?id=1265 Area Time Limit: 1000MS Memory Limit: 10000K Total Submissions: 4969 Accepted: 2231 Description Being well known for its highly innovative products, Merck would definitely be a good target for industrial espionag…

POJ 1265 Area (Pick定理 & 多边形面积)

题目链接:POJ 1265 Problem Description Being well known for its highly innovative products, Merck would definitely be a good target for industrial espionage. To protect its brand-new research and development facility the company has installed the latest s…

poj 1265 Area(pick定理)

Area Time Limit: 1000MS Memory Limit: 10000K Total Submissions: 4373 Accepted: 1983 Description Being well known for its highly innovative products, Merck would definitely be a good target for industrial espionage. To protect its brand-new research a…

[poj 1265]Area[Pick定理][三角剖分]

题意: 给出机器人移动的向量, 计算包围区域的内部整点, 边上整点, 面积. 思路: 面积是用三角剖分, 边上整点与GCD有关, 内部整点套用Pick定理. S = I + E / 2 - 1 I 为内整点数, E为边界整点数, S为面积. Separate the three numbers by two single blanks.....好吧, 理解成中间空两格PE一次> < #include <cstdio> #include <cstring> #includ…

poj 1265 Area( pick 定理 )

题目:http://poj.org/problem?id=1265 题意:已知机器人行走步数及每一步的坐标变化量 ,求机器人所走路径围成的多边形的面积.多边形边上和内部的点的数量. 思路:1.以格子点为顶点的线段,覆盖的点的个数为GCD(dx,dy),其中,dxdy分别为线段横向占的点数和纵向占的点数.如果dx或dy为0,则覆盖的点数为dy或dx. 2.Pick公式:平面上以格子点为顶点的简单多边形,如果边上的点数为on,内部的点数为in,则它的面积为A=on/2+in-1. 3.任意一个…

Area - POJ 1265（pick定理求格点数+求多边形面积）

题目大意:以原点为起点然后每次增加一个x,y的值,求出来最后在多边形边上的点有多少个,内部的点有多少个,多边形的面积是多少. 分析: 1.以格子点为顶点的线段,覆盖的点的个数为GCD(dx,dy),其中,dxdy分别为线段横向占的点数和纵向占的点数.如果dx或dy为0,则覆盖的点数为dy或dx.2.Pick公式:平面上以格子点为顶点的简单多边形的面积=边上的点数/2+内部的点数+1.3.任意一个多边形的面积等于按顺序求相邻两个点与原点组成的向量的叉积之和. 代码如下: -------------…