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Commit 1eda2e7

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update: new problem added
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  • src/_Problems_/max-product-of-3-numbers

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/**
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* Given an array of numbers where the length can atmost be 10^4
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* Find the maximum product of 3 numbers
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* Samples:
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* [1, 2, 3] - 6
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* [-10, 10, 2, 3] - 60
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* [-10, -10, 2, 3] - 300
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*/
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/** The following solution is O(nlogn) because of sorting */
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function maxProductof3Numbers(arr) {
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if (!Array.isArray(arr)) {
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throw new Error('Invalid Argument');
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}
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// sort the array
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arr.sort((a, b) => a - b);
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const n = arr.length;
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// when the numbers are all positive
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const p1 = arr[n - 1] * arr[n - 2] * arr[n - 3];
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// considering -ve numbers, 2 -ve on multiplication becomes +ve
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const p2 = arr[0] * arr[1] * arr[n - 1];
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return p1 > p2 ? p1 : p2;
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}

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