triangle.html

---
layout: default
title: Pascal's Triangle
permalink: /pascals-triangle/
---

<section class="triangle-section">
    <h1>Pascal's Triangle</h1>
    <label for="num-rows">Enter the number of rows:</label>
    <input type="number" id="num-rows" min="1" max="20" value="5" />
    <button onclick="generateTriangle()">Generate Triangle</button>

    <div id="triangle-container"></div>
</section>

<script>
    function generateTriangle() {
        const numRows = parseInt(document.getElementById("num-rows").value);
        const container = document.getElementById("triangle-container");
        container.innerHTML = ""; // Clear previous content

        let triangle = [[1]];

        // Generate Pascal's Triangle
        for (let i = 1; i < numRows; i++) {
            let row = [1];
            for (let j = 1; j < i; j++) {
                row.push(triangle[i - 1][j - 1] + triangle[i - 1][j]);
            }
            row.push(1);
            triangle.push(row);
        }

        // Calculate the maximum number of digits for consistent cell size
        const maxNumDigits = Math.max(...triangle[numRows - 1]).toString().length;
        const cellWidth = Math.max(maxNumDigits * 0.7, 3); // Fixed cell width for larger numbers

        // Display Triangle with consistent cell width and font scaling
        triangle.forEach((row) => {
            const rowDiv = document.createElement("div");
            rowDiv.classList.add("triangle-row");
            row.forEach((num) => {
                const cell = document.createElement("span");
                cell.classList.add("triangle-cell");
                cell.innerText = num;
                cell.style.width = `${cellWidth}em`;
                cell.style.fontSize = `calc(1.2em - ${maxNumDigits * 0.05}em)`;
                rowDiv.appendChild(cell);
            });
            container.appendChild(rowDiv);
        });
    }

    // Generate initial triangle
    window.onload = generateTriangle;
</script>

<style>
    /* General Page Styling */
    .triangle-section {
        text-align: center;
        padding: 20px;
        max-width: 700px;
        margin: 0 auto;
    }

    .triangle-section h1 {
        font-size: 2rem;
        margin-bottom: 20px;
        color: var(--main-color);
    }

    .triangle-section label {
        font-size: 1.1rem;
        color: var(--text-color);
    }

    .triangle-section input {
        padding: 8px;
        font-size: 1rem;
        border: 2px solid #ddd;
        border-radius: 5px;
        width: 60px;
        margin: 10px;
    }

    .triangle-section button {
        padding: 10px 20px;
        font-size: 1rem;
        color: #fff;
        background-color: var(--main-color);
        border: none;
        border-radius: 5px;
        cursor: pointer;
        transition: background-color 0.3s ease;
    }

    .triangle-section button:hover {
        background-color: #003e80;
    }

    /* Triangle Display Styling */
    #triangle-container {
        margin-top: 20px;
    }

    .triangle-row {
        display: flex;
        justify-content: center;
    }

    .triangle-cell {
        display: inline-block;
        margin: 3px;
        padding: 5px;
        color: #fff;
        background-color: var(--bg-tint);
        border-radius: 4px;
        box-shadow: 0 4px 8px rgba(0, 0, 0, 0.15);
        text-align: center;
        min-width: 3em;
    }
</style>