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/*

* You are given a rod of 'n' length and an array of prices associated with all the lengths less than 'n'.

* Find the maximum profit possible by cutting the rod and selling the pieces.

*/

export function rodCut (prices, n) {

const memo = new Array(n + 1)

memo[0] = 0

for (let i = 1; i <= n; i++) {

let maxVal = Number.MIN_VALUE

for (let j = 0; j < i; j++) { maxVal = Math.max(maxVal, prices[j] + memo[i - j - 1]) }

memo[i] = maxVal

}

return memo[n]

}