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docs: add sidebar labels and reorganize solution docs into category folders
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---
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title: '238. Product of Array Except Self'
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description: Given an integer array nums, return an array answer such that answer[i] is equal to the product of all the elements of nums except nums[i]
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sidebar:
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label: 'Product of Array Except Self'
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badge: 'Medium'
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---
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<Badge variant="accent">Prefix Sum</Badge>
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::::warning
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You must write an algorithm that runs in O(n) time and without using the division operation.
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Can you solve the problem in O(1) extra space complexity? (The output array does not count as extra space for space complexity analysis.)
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::::
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### Example 1:
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- Input: `nums = [1,2,3,4]`
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- Output: `[24,12,8,6]`
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### Example 2:
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- Input: `nums = [-1,1,0,-3,3]`
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- Output: `[0,0,9,0,0]`
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### Constraints:
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- `2 <= nums.length <= 10^5`
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- `-30 <= nums[i] <= 30`
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- The input is generated such that `answer[i]` is guaranteed to fit in a 32-bit integer.
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## Solution
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```js
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/**
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* @param {number[]} nums
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* @return {number[]}
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*/
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var productExceptSelf = function(nums) {
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const n = nums.length;
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const answer = new Array(n).fill(1);
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const rightArr = new Array(n).fill(1);
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for (let i = 1; i < n; i++) {
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answer[i] = nums[i - 1] * answer[i - 1];
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}
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for (let i = n - 2; i >= 0; i--) {
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rightArr[i] = nums[i + 1] * rightArr[i + 1];
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}
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for (let i = 0; i < n; i++) {
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answer[i] *= rightArr[i];
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}
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return answer;
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};
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```
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