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65 changes: 65 additions & 0 deletions back-tracking/NQueen.js
Original file line number Diff line number Diff line change
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class NQueen {
constructor (size) {
this.board = new Array(size).fill('.').map(() => new Array(size).fill('.'))
this.size = size
}

isValid ([row, col]) {
// function to check if the placement of the queen in the given location is valid

// checking the left of the current row
for (let i = 0; i < col; i++) {
if (this.board[row][i] === 'Q') return false
}

// checking the upper left diagonal
for (let i = row, j = col; i >= 0 && j >= 0; i--, j--) {
if (this.board[i][j] === 'Q') return false
}

// checking the lower left diagonal
for (let i = row, j = col; j >= 0 && i < this.size; i++, j--) {
if (this.board[i][j] === 'Q') return false
}

return true
}

solve (col = 0) {
// function to solve the board
if (col >= this.size) { return true }

for (let i = 0; i < this.size; i++) {
if (this.isValid([i, col])) {
this.board[i][col] = 'Q'

if (this.solve(col + 1)) { return true }

// backtracking
this.board[i][col] = '.'
}
}

return false
}

printBoard () {
// utility function to display the board
for (const row of this.board) {
console.log(...row)
}
}
}

function main () {
const board = new NQueen(8)

board.printBoard()
console.log('\n')

board.solve()

board.printBoard()
}

main()