Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 512000/512000 K (Java/Others) Total Submission(s): 1165    Accepted Submission(s): 655 Problem Description Zu Chongzhi (429–500) was a prominent Chinese mathematician and astronomer during the L…

Little Zu Chongzhi's Triangles Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 512000/512000 K (Java/Others)Total Submission(s): 743    Accepted Submission(s): 399 Problem Description Zu Chongzhi (429–500) was a prominent Chinese mathematicia…

题目链接:http://acm.hdu.edu.cn/showproblem.php?pid=5135 题目大意:给你n条边,选出若干条边,组成若干个三角形,使得面积和最大.输出最大的面积和. 先将边从小到大排序,这样前面的两条边加起来如果不大于第三条边就可以跳出,这是一个存在性条件. dfs(int idx,int now,int cnt,int nowmax)代表我当前处理的是第idx条边,已经加入边集的有cnt条边,当前的边的长度和为now,组成的最大面积和为nowmax. 暴力枚举每个三…

https://icpcarchive.ecs.baylor.edu/index.php?option=com_onlinejudge&Itemid=8&page=show_problem&problem=5089 题目大意:给n个木棒,用这n个木棒组成多个三角形,求这些三角形面积和的最大值,如果一个三角也不能组成则输出0.00 (注意:一根木棒就可以当做一条边,刚开始就错误的以为一条边可以由很多木棒共同组成而将题想复杂了) 分析: 将这n个木棒按长度从大到小排(从小到大票排是错误…

http://acm.hdu.edu.cn/showproblem.php?pid=5135 题意:给你N个木棍的长度,然后让你组成三角形,问你组成的三角形的和最大是多少? 思路:先求出可以组成的所有的三角形,然后状压dp就可以.求所有的三角形也可以用状压,也可以三重循环求. #include <cstdio> #include <cstring> #include <cmath> #include <algorithm> #define maxn 1<…

这个题--我上来就给读错了,我以为最后是一个三角形,一条边可以由多个小棒组成,所以想到了状态压缩各种各样的东西,最后成功了--结果发现样例过不了,三条黑线就在我的脑袋上挂着,改正了以后我发现N非常小,想到了回溯每个棍的分组,最多分5组,结果发现超时了--最大是5^12 =  244,140,625,厉害呢-- 后来想贪心,首先想暴力出所有可能的组合,结果发现替换问题是一个难题--最后T T ,我就断片了.. 等看了别人的办法以后,我才发现我忽视了三角形的特性,和把数据排序以后的特点. 如果数据从…

Song Jiang's rank list Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 512000/512000 K (Java/Others)Total Submission(s): 2006    Accepted Submission(s): 1128 Problem Description <Shui Hu Zhuan>,also <Water Margin>was written by Shi Nai…

题目传送门 题意:有n根木棍,三根可能能够构成三角形,选出最多的三角形,问最大面积 分析:看到这个数据范围应该想到状压DP,这次我想到了.0010101的状态中,1表示第i根木棍选择,0表示没选,每一次三根木棍累加转移方程.虽说很简单,但是能自己独立敲出来还是很开心的,AC的快感! /************************************************ * Author :Running_Time * Created Time :2015/10/14 星期三 13:4…

Little Zu Chongzhi's Triangles Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 512000/512000 K (Java/Others)Total Submission(s): 2515    Accepted Submission(s): 1427 Problem Description Zu Chongzhi (429–500) was a prominent Chinese mathematic…

Little Zu Chongzhi's Triangles Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 512000/512000 K (Java/Others)Total Submission(s): 2195    Accepted Submission(s): 1262 Problem Description Zu Chongzhi (429–500) was a prominent Chinese mathematic…

From: http://www.geeksforgeeks.org/find-number-of-triangles-possible/ Given an unsorted array of positive integers. Find the number of triangles that can be formed with three different array elements as three sides of triangles. For a triangle to be…

Description It is always very nice to have little brothers or sisters. You can tease them, lock them in the bathroom or put red hot chili in their sandwiches. But there is also a time when all meanness comes back! As you know, in one month it is Chri…

Triangles Time Limit:1000MS     Memory Limit:64000KB     64bit IO Format:%lld & %llu Submit Status Practice ACdream 1067 Description 已知一个圆的圆周被  N 个点分成了 N 段等长圆弧,求任意取三个点,组成锐角三角形的个数. Input 多组数据. 每组数据一个N (N ≤  1000000). Output 对于每组数据,输出不同锐角三角形的个数. Sample…

You will be given N points on a circle. You must write a program to determine how many distinctequilateral triangles can be constructed using the given points as vertices.The gure below illustrates an example: (a) shows a set of points, determined by…

Fighting for Triangles 题目连接: http://codeforces.com/gym/100015/attachments Description Andy and Ralph are playing a two-player game on a triangular board that looks like the following: 1 2 3 4 5 7 8 6 9 10 11 13 14 16 17 12 15 18 At each turn, a playe…

C. Love Triangles Time Limit: 20 Sec Memory Limit: 256 MB 题目连接 http://codeforces.com/contest/553/problem/C Description There are many anime that are about "love triangles": Alice loves Bob, and Charlie loves Bob as well, but Alice hates Charlie.…

D. Vanya and Triangles Time Limit: 20 Sec Memory Limit: 256 MB 题目连接 http://codeforces.com/contest/552/problem/D Description Vanya got bored and he painted n distinct points on the plane. After that he connected all the points pairwise and saw that as…

Almost equilateral triangles It is easily proved that no equilateral triangle exists with integral length sides and integral area. However, the almost equilateral triangle 5-5-6 has an area of 12 square units. We shall define an almost equilateral tr…

Right triangles with integer coordinates The points P (x1, y1) and Q (x2, y2) are plotted at integer co-ordinates and are joined to the origin, O(0,0), to form ΔOPQ. There are exactly fourteen triangles containing a right angle that can be formed whe…

题目链接 原题: It turns out that 12 cm is the smallest length of wire that can be bent to form an integer sided right angle triangle in exactly one way, but there are many more examples. 12 cm: (3,4,5)24 cm: (6,8,10)30 cm: (5,12,13)36 cm: (9,12,15)40 cm: (…

Alyona and Triangles 题目连接: http://acm.hust.edu.cn/vjudge/contest/121333#problem/J Description You are given n points with integer coordinates on the plane. Points are given in a way such that there is no triangle, formed by any three of these n point…

1010: Triangles Time Limit: 2 Sec   Memory Limit: 128 MB Submit: 18   Solved: 8 Description You are given a figure consisting of n points in a 2D-plane and m segments connecting some of them. We guarantee that any two segments don’t share points exce…

Counting Triangles Problem Description Given an equilateral triangle with n thelength of its side, program to count how many triangles in it. Input The length n (n <= 500) of theequilateral triangle's side, one per line. process to the end of the fil…

枚举法: 枚举法是利用计算机速度快, 精度高的特点, 对要解决的问题所有可能情况进行霸道的, 一个不漏检验, 从中找出符合要求的答案. 特点: 1. 得到的结果一定正确. 2. 可能做了很多无用功,效率低下. 3. 一般会涉及到极值. 4. 数据量大的话可能造成时间崩溃. 结构: 循环结构. 基本思路: 1. 确定枚举对象, 枚举范围, 判定条件. 2. 枚举可能的解, 验证是否是问题的解. Vanya and Triangles : M - Vanya and Triangles Crawli…

Counting Triangles Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 2506    Accepted Submission(s): 1184 Problem Description Given an equilateral triangle with n the length of its side, program t…

Chef and The Right Triangles The Chef is given a list of N triangles. Each triangle is identfied by the coordinates of its three corners in the 2-D cartesian plane. His job is to figure out how many of the given triangles are right triangles. A right…

题目链接:12075 - Counting Triangles 题意:求n * m矩形内,最多能组成几个三角形 这题和UVA 1393类似,把总情况扣去三点共线情况,那么问题转化为求三点共线的情况,对于两点,求他们的gcd - 1,得到的就是他们之间有多少个点,那么情况数就能够求了,然后还是利用容斥原理去计数,然后累加出答案 代码: #include <stdio.h> #include <string.h> #include <algorithm> using nam…

PRJ: Split a nodes-map into some triangles Share the source codes of this algorithm to your guys... >>>download BR, Mars July 1, 2013 Any to share, e-me: mars.fu@foxmail.com…

题目链接:codeforces553C Love Triangles 我们来看一下对于一个合法三角形可能出现的边 我们发现,在确定了两边之后,第三条边是什么也就随之确定了 我们用\(1\)表示\(love\),用\(0\)表示\(hate\) 那么\(111-->11,1\) ​ \(100-->\ 00,1/10,1\) 我们发现,当两条边的数字相同时,第三条边的数字为\(1\),否则为\(0\) 很明显这个条件在反过来时也是成立的 这有什么作用? 我们推广一下:假设我们已知一个点\(u\)…

D - Acute Triangles 思路: 极角排序+点积叉积 在一个三角形中,如果它是直角或者顿角三角形,那么直角和顿角只会出现一次 所以直角和顿角三角形的个数等于直角和顿角的个数 所以锐角三角形的个数等于三元组个数减去直角和顿角的个数 三点共线看成退化的顿角三角形 怎么算直角和顿角个数呢, 先按某个点极角排序,然后暴力过取,用双指针维护到 当前幅角距离为pi/2 到 3*pi/2 的区间, 区间内点的个数就是到当前幅角为直角或顿角的个数 可以用点积和叉积分别判断角度和相对方向 代码: #…