//pick定理:面积=内部整数点数+边上整数点数/2-1 // POJ 2954 #include <iostream> #include <cstdio> #include <cstdlib> #include <algorithm> #include <vector> #include <math.h> using namespace std; #define LL long long typedef pair<int,i…

题目:http://poj.org/problem?id=1265 Sample Input 2 4 1 0 0 1 -1 0 0 -1 7 5 0 1 3 -2 2 -1 0 0 -3 -3 1 0 -3 Sample Output Scenario #1: 0 4 1.0 Scenario #2: 12 16 19.0 注意:题目给出的成对的数可不是坐标,是在x和y方向走的数量. 边界上的格点数:一条左开右闭的线段(x1, x2)->(x2, y2)上的格点数为:gcd( abs(x2-x1…

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: -------------…

Area DescriptionBeing 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 system of surveilla…

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…

Pick定理:如果一个简单多边形(以下称为“多边形”)的每个顶点都是直角坐标平面上的格点,则称该多边形为格点多边形．若一个面积为S的格点多边形,其边界上有a个格点,内部有b个格点,则S＝a/2+b-1． 强迫孩子们接受无法说出道理的东西,很容易打击孩子们的求知欲望和学习兴趣．我经过反复琢磨,找到一个非常浅显的办法,既能够形象的解释Pick定理的道理,又能让看清Pick定理的本质．整个解释只需用到一个很浅显的预备知识:“多边形外角和等于一个周角”． 以下图的格点多边形ABCDE为例,其边界上有a个…

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…

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…

Area Time Limit: 1000MS   Memory Limit: 10000K Total Submissions: 5811   Accepted: 2589 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…

http://poj.org/problem?id=2954 表示我交了20+次... 为什么呢?因为多组数据我是这样判断的:da=sum{a[i].x+a[i].y},然后!da就表示没有数据了QAQ我居然查了如此久都没查出来!!!!注意负数啊负数啊啊啊啊啊啊啊 本题是pick定理:当多边形的顶点均为整数时,面积=内部整点+边上整点/2-1 然后本题要求内部整点 #include <cstdio> #include <cstring> #include <cmath>…