C++ Exercises: Display Pascal's triangle like pyramid

Last update on April 07 2025 12:59:30 (UTC/GMT +8 hours)

45. Pascal's Triangle as Pyramid

Write a C++ program to display Pascal's triangle like a pyramid.

Construction of Pascal's Triangle:

As shown in Pascal's triangle, each element is equal to the sum of the two numbers immediately above it.

Sample Solution:

C++ Code :

#include <iostream> // Include the input/output stream library
using namespace std; // Using standard namespace

int main() // Main function where the execution of the program starts
{
    int row, c = 1, blk, i, j; // Declare integer variables row, c, blk, i, and j

    // Display message asking for input
    cout << "\n\n Display the Pascal's triangle:\n";
    cout << "-----------------------------------\n";
    cout << " Input number of rows: ";
    cin >> row; // Read input for the number of rows from the user

    for (i = 0; i < row; i++) // Loop for the number of rows
    {
        for (blk = 1; blk <= row - i; blk++) // Loop to print spaces before the numbers
            cout << "  "; // Print two spaces for formatting

        for (j = 0; j <= i; j++) // Loop to calculate and print the numbers in each row
        {
            if (j == 0 || i == 0) // Check if it's the first column or the first row
                c = 1; // Assign 1 to 'c' if it's the first column or the first row
            else
                c = c * (i - j + 1) / j; // Calculate the next number using the previous value

            cout << c << "   "; // Print the calculated number followed by spaces for formatting
        }

        cout << endl; // Move to the next line after each row is printed
    }
}

Sample Output:

 Display the Pascal's triangle:                                        
-----------------------------------                                    
 Input number of rows: 5                                               
          1                                                            
        1   1                                                          
      1   2   1                                                        
    1   3   3   1                                                      
  1   4   6   4   1

Flowchart:

For more Practice: Solve these Related Problems:

Write a C++ program to generate Pascal's Triangle in a centered pyramid format using nested loops.
Write a C++ program that reads the number of rows and prints Pascal's Triangle with proper spacing to form a pyramid.
Write a C++ program to display Pascal's Triangle as a pyramid, formatting each number with fixed width for alignment.
Write a C++ program to construct Pascal's Triangle and output it in a pyramid shape, using recursion to compute binomial coefficients.

C++ Code Editor:

Contribute your code and comments through Disqus.

Previous: Write a program in C++ to display the pattern like a diamond.
Next: Write a program in C++ to display Pascal's triangle like right angle triangle.