Created
August 15, 2021 07:07
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NQueen.js
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class NQueen { | |
constructor (size) { | |
this.board = new Array(size).fill('.').map(() => new Array(size).fill('.')) | |
this.size = size | |
this.solutionCount = 0 | |
} | |
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 | |
} | |
placeQueen (row, col) { | |
this.board[row][col] = 'Q' | |
} | |
removeQueen (row, col) { | |
this.board[row][col] = '.' | |
} | |
solve (col = 0) { | |
if (col >= this.size) { | |
this.printBoard() | |
this.solutionCount++ | |
return true | |
} | |
for (let i = 0; i < this.size; i++) { | |
if (this.isValid([i, col])) { | |
this.placeQueen(i, col) | |
this.solve(col + 1) | |
this.removeQueen(i, col) | |
} | |
} | |
return false | |
} | |
printBoard () { | |
console.log('\n') | |
for (const row of this.board) { | |
console.log(...row) | |
} | |
} | |
} | |
export { NQueen } |
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