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Enhance readability of KnightTour (#1572)
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@ -2,12 +2,13 @@
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class OpenKnightTour {
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constructor(size) {
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// Constructor to initialize the chessboard and size
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this.board = new Array(size).fill(0).map(() => new Array(size).fill(0))
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this.size = size
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}
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getMoves([i, j]) {
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// helper function to get the valid moves of the knight from the current position
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// Helper function to get the valid moves of the knight from the current position
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const moves = [
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[i + 2, j - 1],
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[i + 2, j + 1],
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@ -19,18 +20,19 @@ class OpenKnightTour {
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[i - 1, j + 2]
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]
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// Filter out moves that are within the board boundaries
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return moves.filter(
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([y, x]) => y >= 0 && y < this.size && x >= 0 && x < this.size
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)
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}
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isComplete() {
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// helper function to check if the board is complete
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// Helper function to check if the board is complete
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return !this.board.map((row) => row.includes(0)).includes(true)
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}
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solve() {
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// function to find the solution for the given board
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// Function to find the solution for the given board
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for (let i = 0; i < this.size; i++) {
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for (let j = 0; j < this.size; j++) {
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if (this.solveHelper([i, j], 0)) return true
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@ -40,14 +42,15 @@ class OpenKnightTour {
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}
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solveHelper([i, j], curr) {
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// helper function for the main computation
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// Helper function for the main computation
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if (this.isComplete()) return true
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// Iterate through possible moves and attempt to fill the board
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for (const [y, x] of this.getMoves([i, j])) {
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if (this.board[y][x] === 0) {
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this.board[y][x] = curr + 1
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if (this.solveHelper([y, x], curr + 1)) return true
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// backtracking
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// Backtracking: If the solution is not found, reset the cell to 0
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this.board[y][x] = 0
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}
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}
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@ -55,7 +58,7 @@ class OpenKnightTour {
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}
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printBoard(output = (value) => console.log(value)) {
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// utility function to display the board
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// Utility function to display the board
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for (const row of this.board) {
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let string = ''
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for (const elem of row) {
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