Lesson 4
Multidimensional Arrays: Finding Ideal Positions in JavaScript
Introduction

Hello, and welcome, code explorer! Today's journey takes us through the intricate paths within a 2-dimensional array, often likened to a game board. Our mission is to identify ideal spots for game piece placement. Sounds like an adventure, doesn't it? Let's embark!

Task Statement

Visualize a chessboard in the form of a 2D array, where each cell could be marked E for empty or P for a piece. Our quest involves summoning a JavaScript function named findPositions(). Upon examining this 2D array, this function identifies all the spots where a new piece could be placed so that it can move to another empty cell in one move. The catch is that a piece can move only to an immediately neighboring cell directly above, below, to the left, or right, but not diagonally.

Consider this 4x4 board, for instance:

1P E E P 2E P E P 3P E P P 4P E P E

The function should output the following pairs representing positions: (0, 1), (0, 2), (1, 2), (2, 1), (3, 1). This output represents the positions where a piece could be placed (empty) and then be able to move to a new empty spot in the next turn.

Step 1: Initialize Positions Array and Determine Board Dimensions

Stepping right into action, we start with an empty positions array to help us log the sought positions. Understanding the dimensions of our "board" paves the way for defining boundaries in our exploration mission. Now, how does one determine the size of a JavaScript 2D array? By using the length property.

Using an array is crucial here because we don't know beforehand how many positions will be found. An array in JavaScript can dynamically adjust its size to accommodate any number of elements, making it a perfect choice for storing an unknown number of positions.

JavaScript
1function findPositions(board) { 2 let positions = []; 3 4 let rows = board.length; 5 let cols = board[0].length; 6 // Further exploration follows
Step 2: Traverse the Entire Board

With the dimensions defined, we begin our expedition across the board. We use two nested for loops to do this, traversing the entire board one cell at a time.

JavaScript
1function findPositions(board) { 2 let positions = []; 3 4 let rows = board.length; 5 let cols = board[0].length; 6 7 for (let i = 0; i < rows; i++) { 8 for (let j = 0; j < cols; j++) { 9 // ensuing exploration
Step 3: Check Each Cell and Its Neighbors

What's the plan for each cell, you ask? While exploring each cell, our trusty JavaScript code inspects if the cell is empty. If confirmed, it then peeks into the neighbors in the up, down, left, and right directions. If another vacant cell (E) is spotted, we jot down the main cell's position in our positions array.

JavaScript
1function findPositions(board) { 2 let positions = []; 3 4 let rows = board.length; 5 let cols = board[0].length; 6 7 for (let i = 0; i < rows; i++) { 8 for (let j = 0; j < cols; j++) { 9 if (board[i][j] === 'E') { 10 if ((i > 0 && board[i - 1][j] === 'E') || 11 (i < rows - 1 && board[i + 1][j] === 'E') || 12 (j > 0 && board[i][j - 1] === 'E') || 13 (j < cols - 1 && board[i][j + 1] === 'E')) { 14 positions.push([i, j]); 15 } 16 } 17 } 18 } 19 return positions; 20} 21 22let board = [ 23 ['P', 'E', 'E', 'P'], 24 ['E', 'P', 'E', 'P'], 25 ['P', 'E', 'P', 'P'], 26 ['P', 'E', 'P', 'E'] 27]; 28 29let positions = findPositions(board); 30 31for (let i = 0; i < positions.length; i++) { 32 console.log(`(${positions[i][0]}, ${positions[i][1]})`); 33} 34 35// The output will be: 36// (0, 1) 37// (0, 2) 38// (1, 2) 39// (2, 1) 40// (3, 1)
Lesson Summary

Neatly wrapped up, haven't we? Today we engaged in a thrilling treasure hunt and emerged victorious with the positions array. This journey revealed the importance of understanding 2D arrays and effectively maneuvering through them using JavaScript. Striking a balance between precision and caution, we cleverly avoided unwanted recursion and harnessed the power of conditional statements to devise an efficient blueprint for our code.

Now that we've mastered the theory, we step into the realm of application — the practice field. Venture forth and make your mark by solving correlated challenges. And remember, persistence is the best companion for a coder. Happy coding!

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