Question

Using C++ :

A Pascals triangle row is constructed by looking at the previous row and adding the numbers to its left and right to arrive at the new value. If either the number to its left/right is not present, substitute a zero in it's place.

Input:

Your program should read lines from standard input. Each line contains a positive integer which indicates the depth of the triangle (1 based).

Output:

Print out the resulting pascal triangle up to the requested depth in row major form.

Answer 1

This problem is all about creating pascal triangle program using c++

pascal row can be created as:

     for example:

                               1 2 1 will be the previous row,the next row will be calculated as:

                               1 (1+2) (2+1) 1

the executable code for the pascal triangle is :

  

using namespace std;
#include <iostream>
void print_pascal_triangle(int n);//function declaration
int main()
{
  
    int depth;
    cout<<"enter the depth of the pascal triangle:";
    cin>>depth; /*taking input from the user.How much depth he wants to print.*/
    print_pascal_triangle(depth); /*calling printing_pascal_triangle with argument depth(nothing but no of rows)*/
    return 0;
}
void print_pascal_triangle(int n)
{
    int p_triangle[n][n];/* creating a two dimensional array with size n*n */
    /*In pascal triangle first row has one element.2nd row has 2 elements ..nth row has n elements*/
    for (int row = 0; row < n; row++)
    {
        for (int col = 0; col <= row; col++)
        {
        if (row == col || col == 0) /* every row first and last element will be 1 */
            p_triangle[row][col] = 1;
        else /* For the remaining elements we need to add the element above the current element and element left to that above element*/
            p_triangle[row][col] = p_triangle[row - 1][col - 1] + p_triangle[row - 1][col];
            cout << p_triangle[row][col] << " ";//printing in the same interation
        }
        cout << "\n";
    }
}

sample output for the given code is:

     

        thank you...