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apps/docs/content/two-pointers/977-squares-of-a-sorted-array.mdx

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+---
+title: '977. Squares of a Sorted Array'
+description: Given an integer array nums sorted in non-decreasing order, return an array of the squares of each number sorted in non-decreasing order
+sidebar:
+  label: 'Squares of a Sorted Array'
+  badge: 'Easy'
+---
+
+<Badge variant="accent">Array</Badge>
+
+::::warning
+Squaring each element and sorting the new array is very trivial, could you find an O(n) solution using a different approach?
+::::
+
+### Example 1:
+- Input: `nums = [-4,-1,0,3,10]`
+- Output: `[0,1,9,16,100]`
+- Explanation: After squaring, the array becomes `[16,1,0,9,100]`. After sorting, it becomes `[0,1,9,16,100]`.
+
+### Example 2:
+- Input: `nums = [-7,-3,2,3,11]`
+- Output: `[4,9,9,49,121]`
+
+### Constraints:
+
+- `1 <= nums.length <= 10^4`
+- `-10^4 <= nums[i] <= 10^4`
+- `nums` is sorted in non-decreasing order.
+
+## Approach
+
+```mermaid
+flowchart TD
+  S(["sortedSquares(nums)"]) --> I["ans = Array(n), left = 0, right = n - 1"]
+  I --> L{"more i from n-1 down to 0?"}
+  L -- no --> E(["return ans"])
+  L -- yes --> C{"abs(nums[left]) < abs(nums[right])?"}
+  C -- yes --> R["square = nums[right]; right--"]
+  C -- no --> F["square = nums[left]; left++"]
+  R --> W["ans[i] = square * square — fill from the back, largest first"]
+  F --> W
+  W --> L
+```
+
+## Solution
+
+```js
+/**
+ * @param {number[]} nums
+ * @return {number[]}
+ */
+var sortedSquares = function(nums) {
+  let n = nums.length;
+  let ans = new Array(nums.length);
+  let left = 0, right = nums.length - 1;
+
+  for (let i = n -1; i >= 0; i--){
+    let square;
+    if(Math.abs(nums[left]) < Math.abs(nums[right])){
+      square = nums[right];
+      right--;
+    }else{
+      square = nums[left];
+      left++;
+    }
+    ans[i] = square*square;
+  }
+  return ans;
+};
+```
+
+## Explanation
+
+<YouTube id="FPCZsG_AkUg" title="Squares of a Sorted Array - Leetcode 977 - Python" />