How to print Pascal's Triangle Pattern in PHP


How to print Pascal's Triangle Pattern in PHP ?

Answer

To print Pascal's Triangle Pattern in PHP, you can use nested loops where the outer loop controls the rows and the inner loop calculates the values for each row based on the binomial coefficient formula.



✐ Examples

1 Pascal's Triangle Pattern

In this example,

  1. We use a variable n to represent the number of rows in Pascal's triangle.
  2. We initialize an array pascal to store the triangle values.
  3. We use nested loops to calculate and store the values using the binomial coefficient formula.
  4. We print the triangle values using a formatted output.

PHP Program

<?php
function printPascalsTriangle($n) {
    $pascal = [];
    for ($i = 0; $i < $n; $i++) {
        $pascal[$i] = [];
        for ($j = 0; $j <= $i; $j++) {
            if ($j === 0 || $j === $i) {
                $pascal[$i][$j] = 1;
            } else {
                $pascal[$i][$j] = $pascal[$i - 1][$j - 1] + $pascal[$i - 1][$j];
            }
            echo $pascal[$i][$j] . ' ';
        }
        echo "\n";
    }
}

$rows = 5;
printPascalsTriangle($rows);
?>

Output

1 
1 1 
1 2 1 
1 3 3 1 
1 4 6 4 1 

Summary

In this tutorial, we learned How to print Pascal's Triangle Pattern in PHP language with well detailed examples.




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