本文给出杨辉三角的几种C语言实现,并简要分析典型方法的复杂度。 本文假定读者具备二项式定理、排列组合、求和等方面的数学知识。 一 基本概念 杨辉三角,又称贾宪三角、帕斯卡三角,是二项式系数在三角形中的一种几何排列。此处引用维基百科上的一张动态图以直观说明(原文链接http://zh.wikipedia.org/wiki/杨辉三角):...
ptr[i] = new int[n]; ptr = comb(ptr, m, n);//calling function for array creation disp(ptr, m, n);//calling function for array displaying. return 0; } /*Programs output *** Enter number of rows to draw Pascal's Triangle: 9 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 1...
using namespace std; int main() { const int n = 15; const int m = 2 * n-1; int arr[n + 1][m] = { 0 }; for (int i = 0; i < n; i++) { arr[i][n - i- 1] = 1; arr[i][n + i -1] = 1; } for (int i = 2; i < n; i++) { for (int j = n ...
In Pascal's triangle, each number is the sum of the two numbers directly above it. Example: Input:5Output: [ [1], [1,1], [1,2,1], [1,3,3,1], [1,4,6,4,1] ] 题目描述,给定一个数量,输出一个帕斯卡三角。 分析: 第一和第二的时候,为全1 后面的除了第一位和最后一位是1 其他...
Pascal’s Triangle is the triangular arrangement of numbers which gives the coefficients in the expansion of any binomial expression. Visit BYJU'S to learn Pascal's triangle formula, properties and many solved examples.
118. Pascal's Triangle 第一种解法:比较麻烦 class Solution { public: vector<vector<int>> generate(int numRows) { vector<vector<int>> result; vector<int> res; for(int i = 1;i <= numRows;i++){ for(int j = 1;j <= i;j++) ...
// C program to generate pascal triangle using array#include <stdio.h>intmain() {intarr[50][50];inti=0;intj=0;intn=0; printf("Enter the number of lines: "); scanf("%d",&n);for(i=0; i<n; i++) {for(j=0; j<n-1-i;++j) printf(" ");for(j=0; j<=i;++j) {if(...
今天介绍数学中一个非常神奇数阵“帕斯卡三角形(Pascal's Triangle)”。 帕斯卡三角形,在中国通常称作杨辉三角,又称贾宪三角形、海亚姆三角形、塔塔利亚三角形等,是二项式系数在的一种写法,形似三角形,在中国首现于南宋杨辉的《详解九章算术》得名,书中杨辉说明是引自贾宪的《释锁算术...
O. (1991). Pascal's triangle: Top gun or just one of the gang? In H. A. Bergum G.E., Philippou A.N., editor, Applications of Fibonacci Numbers Volume 4, pages 77-90. Kluwer, Dordrecht.Fielder, D.C., Alford, D.O.: Pascal's triangle: top gun or just one of the gang? In...
If one reduces all the entries in the Pascal triangle of binomials modulo 2 or more generally modulo a prime number p the resulting triangle of residuals shows interesting patterns which can be visualized by the use of computer outprints... M Sved - 《Mathematical Intelligencer》 被引量: 69...