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Added TowerOfHanoi Algorithm in Backtracking#1834

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27 changes: 27 additions & 0 deletionsBacktracking/TowerOfHanoi.js
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Original file line numberDiff line numberDiff line change
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function towerOfHanoi(n, source, destination, auxiliary) {
let moves = [] // will store all moves as [from, to]

// Recursive helper function
function solve(disks, fromRod, toRod, auxRod) {
// Base case: Only one disk left
if (disks === 1) {
moves.push([fromRod, toRod])
return
}

// Move n-1 disks from source to auxiliary
solve(disks - 1, fromRod, auxRod, toRod)

// Move the largest disk from source to destination
moves.push([fromRod, toRod])

// Move n-1 disks from auxiliary to destination
solve(disks - 1, auxRod, toRod, fromRod)
}

solve(n, source, destination, auxiliary)

return moves
}

export { towerOfHanoi }

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