思路:三角形的圆心角可以整除(2*pi)/n #include<cstdio> #include<cstring> #include<iostream> #include<queue> #include<stack> #include<algorithm> using namespace std; #define clc(a,b) memset(a,b,sizeof(a)) #define inf 0x3f3f3f3f ; #defi…

题意: 给你正n边形上的三个点,问n最少为多少 思路: 三个点在多边形上,所以三个点的外接圆就是这个正多边形的外接圆,余弦定理求出每个角的弧度值,即该角所对边的圆周角,该边对应的圆心角为圆心角的二倍.同时这个圆心角应为正多边形的每条边对应圆心角的整数倍,即2*pi/i的整数倍,遍历for i 1 to 1000 ,判断A*i/pi是否均为整数即可 坑点: 注意判断double是否为整数:return a-(int)(a+eps); 代码: #include<iostream> #include…

/* HDU 6055 - Regular polygon [ 分析,枚举 ] 题意: 给出 x,y 都在 [-100, +100] 范围内的 N 个整点,问组成的正多边形的数目是多少 N <= 500 分析: 分析可知,整点组成的正多边形只能是正方形 故枚举两个点,验证剩下两个点的位置 坑点: 由于点的范围是 [-100, +100],故经过计算得出的点的范围可能是 [-300,+300],注意越界 编码时长:46分钟(-1) */ #include <bits/stdc++.h> u…

Given a list of points that form a polygon when joined sequentially, find if this polygon is convex (Convex polygon definition). Note: There are at least 3 and at most 10,000 points. Coordinates are in the range -10,000 to 10,000. You may assume the…

Given a list of points that form a polygon when joined sequentially, find if this polygon is convex (Convex polygon definition). Note: There are at least 3 and at most 10,000 points. Coordinates are in the range -10,000 to 10,000. You may assume the…

The Triangle Division of the Convex Polygon 题意:求 n 凸多边形可以有多少种方法分解成不相交的三角形,最后值模 m. 思路:卡特兰数的例子,只是模 m 让人头疼,因为 m 不一定是素数,所以不一定存在逆元. 解法:式子为f(n) =  ( C( 2*(n-2),  (n-2) ) / (n-1))   % m :令 p = n-2, 式子可化为:f(p) = ((2*p)! / ( p! * (p+1)! ) ) % m; 对 s!分解质因素,统计个…

65536K   Teemo is very interested in convex polygon. There is a convex n-sides polygon, and Teemo connect every two points as diagonal lines, and he want to kown how many segments which be divided into intersections. Teemo ensure that any three diago…

作者: 负雪明烛 id: fuxuemingzhu 个人博客:http://fuxuemingzhu.cn/ 目录 题目描述 题目大意 解题方法 计算向量夹角 日期 题目地址:https://leetcode-cn.com/problems/convex-polygon/ 题目描述 Given a list of points that form a polygon when joined sequentially, find if this polygon is convex (Convex…

Regular polygon Time Limit: 3000/1000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)Total Submission(s): 1529    Accepted Submission(s): 597 Problem Description On a two-dimensional plane, give you n integer points. Your task is to fig…

题目链接 **Problem Description On a two-dimensional plane, give you n integer points. Your task is to figure out how many different regular polygon these points can make. Input The input file consists of several test cases. Each case the first line is a…