Yang Hui triangle:
First of all to popularize some of the knowledge we do not need to know (just want to install the force ...) ).
Yang Hui Triangle, the reason is called Yang Hui Triangle, is because he in the Chinese mathematician Yang Hui a title for "Detailed nine chapter algorithm" appeared in, so posterity named in his name, called Yang Hui
Article Description: The triangle of the flag.
Left is old flag, right is new flag
If the logo is formed using a few letters, you may first think it is Vava, but the figure is a sign of Viva.
Viva, a music and entertainment channel for German television, was launched in 1993, and its programs included music video to various American sitcom (such as "Friends"), and Viva was founded by a private company, which was acquired by MTV Europea
A pupil Tim gets homework to identify whether three line segments could possibly form a triangle.However, this assignment is very heavy because there was hundreds of records to calculate.Could writing a query to judge whether these three sides can form a triangle, assuming table triangle holds t He length of the three sides x, Y and Z.| X | y | z | | ----|----|----|| 13 | 15 | 30 | | 10 | 20 | 15 |For th
Title:Given a triangle, find the minimum path sum from top to bottom. Each step of the 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 is11 (i.e.,2 + +5 + 1 = one). Note:Bonus Point If-able to does this using only O(n) extra space, where n is the total number of rows in the triangle.
1 defJ ():2A,b,c=map (Int,input ('Please enter the length of the three sides of the triangle, separated by a space:'). Split ())3 ifA>0 andB>0 andC>0 andA+b>c andA+c>b andB+c>A:4l=a+b+C5P=l/26s=p* (P-A) * (p-b) * (P-C)#Helen Formula7 Print('perimeter of the triangle: {The area of the}\n triangle: {}'. Format (l,s))8 Else:9 Print('The
Pascal ' s triangle
Given numrows, generate the 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]]
This problem is relatively simple, Yang Hui's triangle, you can use this column of elements equal to its top two elements of the sum to ask.
Mathematical solid people will see, in fact, each column
/**
* Triangle number:
* Mabhida Godzilla led the ancient Greek mathematician found an interesting number sequence 1, 3, 6, ten,,...
* Can you see the rules?
* The law of it is f (x) = x+ f (x-1)
* Think about it as if you were going to go from 11 to 100. *
*
package al;
public class Triangle {public
static void Main (string[] args) {
triangle
Printing Pascal Triangle seems like a easy problem, however, it isn't that easy to print a good-looking Pascal triangle.
To print the Pascal triangle, for each line, the "spaces" to "left of" numbers, and then print digit numbers.
To calculate Pascal numbers, two assays can is used:one array to store numbers of above, and the other array to store NU Mbers of this
Problem descriptionThe Yang Hui's triangle is also called the Pascal Triangle, and its i+1 row is the coefficient of the expansion of (A+B) I.
An important property of it is that each number in the triangle equals the number on its shoulders.
The first 4 lines of the Yang Hui's triangle are given below:
1
1
To find the area of the triangle
/* Syntax: result = AREA3 (float x1, float y1, float x2, float y2, float x3, float y3);
Parameters:
x1~3: Triangle 3 vertices x coordinate
y1~3: Triangle 3 vertex y-coordinate
return value: Triangle area///
*
method: Helen-Qin Jiu formula known tria
Fork MultiplicationFollow the side of the triangle clockwise to determine whether the point is on the right side of each edge (this can be judged by the fork), if the point is to the right of each side, within the triangle, otherwise outside the triangle. This algorithm uses only three times fork multiplication, no division operation and trigonometric functions,
Pascal ' s Triangle:Given numrows, generate the first numrows of Pascal ' s triangle.For example, given numrows = 5,Return[ 1], [ 1,2,1], [ 1,3,3,1], [ 1,4,6,4,1]The number of rows is known to generate the Pascal Triangle. In fact, as long as there is layer I, then you can generate the first i+1 layer. Each newly generated layer is added to the final collection.1 PublicListintnumrows) {2listNewArraylist();3 4 for(inti=0
Problem:The subject asks to see the law of Yang Hui Triangle, namely: a[i][j]=a[i-1][j-1]+a[i-1][j];At the time of output, the first column has no output, because the J parameter is set to start from 1, so it is changed to 0, with the if to meet J from the beginning of the demand.Yang Hui TriangleTime limit:2000/1000 MS (java/others) Memory limit:65536/32768 K (java/others)Total submission (s): 43154 Accepted Submission (s): 18128Problem description
Explain the triangular indexing algorithm for mesh in the previous article.The first thing to know is how the vertex array is generated:So the figure, a large rectangle, is made up of 6 vertices and two rectangles.In general, building this rectangle requires knowing the position of each vertex and the relationship between the vertices and vertices.Ok Initialize vertex position private void Initvertexpos () { int currentindex = 0; for (int i = 0, i This step is to say that
Yang Hui TriangleSome of the understanding:The sense that the Yang Hui Triangle is implemented at least in the first two lines is special. In the next few lines of code, I think, I can use the nth item to add n+1. Plus 1 on both sides. If both sides do this, the symmetric operation can be achieved.Let's make it come true. In the implementation of the process to apply a layer of loops found difficult to achieve, with two layers to try.yh=[[1],[1,1]]For
Cow Bowling
Time Limit: 1000MS
Memory Limit: 65536K
Total Submissions: 18487
Accepted: 12308
Description the cows don ' t use actual bowling balls when they go bowling. They a number (in the range 0..99), though, and line up in a standard bowling-pin-like triangle like this:
7
3 8
8 1 0
2 7 4 4
4 5 2 6 5Then the other cows traverse the
Describe
A triangle of positive integer numbers, as shown below:73 88 1 02 7 4 44 5 2) 6 5There are many different paths from the top of the triangle to the bottom. For each path, add up the number above the path to get one and, and the largest path is called the best path. Your task is to find the sum of the numbers on the best path.Note: Each step on the path can only go from one number to the next and to
Python uses a for while loop to print the Yang Hui triangle exercise (list index exercise).Yang Hui Triangle is a number of triangular tables, the general form is as follows:11 11 2 11 3 3 11 4 6) 4 11 5 10 10 5 11 6 15 20 15 6 1.......................The most essential feature of the Yang Hui Triangle is that its two hypotenuse is made up of the number 1, while
[Cpp]/** Copyright and version Declaration of the program* Copyright (c) 2013, a student from the computer College of Yantai University* All rightsreserved.* File name: date. cpp* Author: Li Meng* Completion date: January 1, March 29, 2013* Version: v1.0* Input Description: Use a constructor with parameters, that is, Triangle (double x, double y, double z). The three sides are provided directly by the real parameters when called.* Problem description:
Topic Links: http://acm.hdu.edu.cn/showproblem.php?pid=3548Test instructionsGiven the coordinates of n points, the perimeter of the triangle with the smallest perimeter can be calculated by these points.Analysis:The three variable lengths of triangles are, a,b,c; aSo when our current minimum perimeter is less than twice times that of one of the sides,Then it is clear that the perimeter of the triangle forme
The content source of this page is from Internet, which doesn't represent Alibaba Cloud's opinion;
products and services mentioned on that page don't have any relationship with Alibaba Cloud. If the
content of the page makes you feel confusing, please write us an email, we will handle the problem
within 5 days after receiving your email.
If you find any instances of plagiarism from the community, please send an email to:
info-contact@alibabacloud.com
and provide relevant evidence. A staff member will contact you within 5 working days.