Given a triangle, find the minimum path sum from top to bottom. Each step you may move to adjacent numbers on the row below. For example, given the following triangle [ [], [,4], [6,,7], [4,,8,3] ] The minimum path sum from top to bottom is 11 (i.e.,…

给定一个三角形,找出自顶向下的最小路径和.每一步只能移动到下一行中相邻的结点上. 例如,给定三角形: [ [2], [3,4], [6,5,7], [4,1,8,3] ] 自顶向下的最小路径和为 11(即,2 + 3 + 5 + 1 = 11). 说明: 如果你可以只使用 O(n) 的额外空间(n 为三角形的总行数)来解决这个问题,那么你的算法会很加分. 至上到下的动态规划 class Solution { public: int minimumTotal(vector<vector<int&…

Given a triangle, find the minimum path sum from top to bottom. Each step you may move to adjacent numbers on the row below.(Medium) For example, given the following triangle [ [], [,4], [6,,7], [4,,8,3] ] The minimum path sum from top to bottom is 1…

Given a triangle, find the minimum path sum from top to bottom. Each step you may move to adjacent numbers on the row below. For example, given the following triangle [ [2], [3,4], [6,5,7], [4,1,8,3] ] The minimum path sum from top to bottom is 11 (i…

Given a triangle, find the minimum path sum from top to bottom. Each step you may move to adjacent numbers on the row below. For example, given the following triangle [ [], [,4], [6,,7], [4,,8,3] ] The minimum path sum from top to bottom is 11 (i.e.,…

Given an index k, return the kth row of the Pascal's triangle. For example, given k = 3,Return [1,3,3,1]. Note:Could you optimize your algorithm to use only O(k) extra space? 杨辉三角想必大家并不陌生,应该最早出现在初高中的数学中,其实就是二项式系数的一种写法. 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1…

Given numRows, generate the first numRows of Pascal's triangle. For example, given numRows = 5,Return [ [1], [1,1], [1,2,1], [1,3,3,1], [1,4,6,4,1] ] 杨辉三角是二项式系数的一种写法,如果熟悉杨辉三角的五个性质,那么很好生成,可参见我的上一篇博文: http://www.cnblogs.com/grandyang/p/4031536.html 具体生…

题目简述: Given an index k, return the kth row of the Pascal's triangle. For example, given k = 3, Return [1,3,3,1]. Note: Could you optimize your algorithm to use only O(k) extra space? 解题思路: 这里的关键是空间的使用,既然只能用O(K)很容易就想到我们要进行回卷(名字好像不对).我的做法是每一次都在后面新加入一个数…

题目简述: Given numRows, generate the first numRows of Pascal's triangle. For example, given numRows = 5, Return [ [1], [1,1], [1,2,1], [1,3,3,1], [1,4,6,4,1]] 解题思路: 很简单的问题,只要把两头的一拿出来,中间就是两个数相加了. class Solution: # @return a list of lists of integers def…

http://poj.org/problem?id=1163 The Triangle Time Limit: 1000MS   Memory Limit: 10000K Total Submissions: 32923   Accepted: 19514 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 hi…

Triangle - Delaunay Triangulator  eryar@163.com Abstract. Triangle is a 2D quality mesh generator and Delaunay triangulator. Triangle was created as part of the Quake project in the school of Computer Science at Carnegie Mellon University by Jonathan…

Problem: Given numRows, generate the first numRows of Pascal's triangle. For example, given numRows = 5,Return [ [1], [1,1], [1,2,1], [1,3,3,1], [1,4,6,4,1] ] Summary: 输出杨辉三角的前n行. Solution: 方法类似于LeetCode 119 Pascal's Triangle II class Solution { publ…

Problem: Given an index k, return the kth row of the Pascal's triangle. For example, given k = 3,Return [1,3,3,1]. Note:Could you optimize your algorithm to use only O(k) extra space? Summary: 返回杨辉三角(帕斯卡三角)的第k行. Solution: 1. 若以二维数组的形式表示杨辉三角,则可轻易推算出ro…

Given a triangle, find the minimum path sum from top to bottom. Each step you may move to adjacent numbers on the row below. For example, given the following triangle [      [2],     [3,4],    [6,5,7],   [4,1,8,3] ] The minimum path sum from top to b…

//此程序写出三个类,triangle,lader,circle:其中triangle类具有类型为double的a,b,c边以及周长,面积属性, //具有周长,面积以及修改三边的功能,还有判断能否构成三角形的boolean类. //lader类具有类型为double的上底下底和高,面积属性,具有返回面积的功能 //circlle 类具有类型为double的半径,周长和面积.具有返回周长面积的功能 //Lader类 class Lader { double shangDi; //上底 double…

引擎中,ray与quad求交,算法未细看,但有求解二次方程,不解.ray与triangle求交,使用的是97年经典算法,仔细看过论文,多谢小武同学指点,用到了克拉默法则求解线性方程组.想模仿该方法,做ray与quad的求交,发现方程里不仅有u和v,还有uv,没法变换成线性方程组的形式.本以为引擎中quad中四个点可以不共面,看过接口,不然,“不共面和退化的多边形不保证正确结果“.而后又有两个问题,一是,与一个quad求交比与两个三角形求交快吗?二是,如果前面的问题答案为否,即两个三角形更快,为何…

Home GameWorks Blog Life of a triangle - NVIDIA's logical pipeline   Life of a triangle - NVIDIA's logical pipeline Facebook Twitter LinkedIn Google+ By Christoph Kubisch, posted Mar 16 2015 at 12:52PM Tags:  GameWorks GameWorks Expert Developer DX12…

Link:  http://codeforces.com/contest/407/problem/A 给定直角三角形的2个直角边a,b.求在直角坐标系中,是否存在对应的直角三角形,使得三个定点都在整点上,并且三边都不和坐标轴平行. 如果存在,输出YES,和三个点的坐标.否则输出NO 很显然,为了方便,可以把原点作为 一个顶点. 这道题目做的时候少考虑了很多情况. 比如: 如何使得边不和坐标轴平行?  要保证要求的另外两个点的横坐标或者纵坐标不能相等. 如何保证三角形是直角三角形? 只需要保证,另…

Given a triangle, find the minimum path sum from top to bottom. Each step you may move to adjacent numbers on the row below. For example, given the following triangle [ [], [,4], [6,,7], [4,,8,3] ] The minimum path sum from top to bottom is 11 (i.e.,…

// uva 11401 Triangle Counting // // 题目大意: // // 求n范围内,任意选三个不同的数,能组成三角形的个数 // // 解题方法: // // 我们设三角巷的最长的长度是c(x),另外两边为y,z // 则由z + y > x得, x - y < z < x 当y = 1时,无解 // 当y = 2时,一个解,这样到y = x - 1 时 有 x - 2个 // 解,所以一共是0,1,2,3....x - 2,一共(x - 2) * (x - 1…

Given a triangle, find the minimum path sum from top to bottom. Each step you may move to adjacent numbers on the row below. For example, given the following triangle [ [], [,4], [6,,7], [4,,8,3] ] The minimum path sum from top to bottom is 11 (i.e.,…

题目: Given a triangle, find the minimum path sum from top to bottom. Each step you may move to adjacent numbers on the row below. For example, given the following triangle [ [], [,4], [6,,7], [4,,8,3] ] The minimum path sum from top to bottom is 11 (i…

题目: Given an index k, return the kth row of the Pascal's triangle. For example, given k = 3, Return [1,3,3,1]. Note: Could you optimize your algorithm to use only O(k) extra space? 思路: 递归 package recursion; import java.util.List; import java.util.Arr…

Given a triangle, find the minimum path sum from top to bottom. Each step you may move to adjacent numbers on the row below. For example, given the following triangle [ [2], [3,4], [6,5,7], [4,1,8,3] ] The minimum path sum from top to bottom is 11 (i…

动态规划 int minimumTotal (vector<vector<int>>& triangle) { ; i >= ; --i) ; j < i + ; ++j) triangle[i][j] += min(triangle[i + ][j], triangle[i + ][j + ]); ][]; }…

Given a triangle, find the minimum path sum from top to bottom. Each step you may move to adjacent numbers on the row below. For example, given the following triangle [ [], [,4], [6,,7], [4,,8,3] ] The minimum path sum from top to bottom is 11 (i.e.,…

Given numRows, generate the first numRows of Pascal's triangle. For example, given numRows = 5,Return [ [1], [1,1], [1,2,1], [1,3,3,1], [1,4,6,4,1] ] 思路:杨辉三角,直接按规律生成即可 vector<vector<int> > generate(int numRows) { vector<vector<int>>…

题目: Given numRows, generate the first numRows of Pascal's triangle. For example, given numRows = 5, Return [ [1], [1,1], [1,2,1], [1,3,3,1], [1,4,6,4,1] ] 代码: 仔细一看,规律就是本层第一个和最后一个的元素都是1,其他的元素分别等于上一层同位置元素加上前一个位置的元素. 一百度,才知道,这就是大名鼎鼎的杨辉三角!只可惜,在欧洲,这个表叫做帕斯…

针对如下形式的ACM试题,大多出自南阳理工学院的在线ACM试题(网址: 南阳理工在线评测系统),在此非常感谢,同时也非常感谢作者的分享! 时间限制:1000 ms  |  内存限制:65535 KB 难度:4   描述 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 a…

Description 7 3 8 8 1 0 2 7 4 4 4 5 2 6 5 (Figure 1) Figure 1 shows a number triangle. Write a program that calculates the highest sum of numbers passed on a route that starts at the top and ends somewhere on the base. Each step can go either diagona…