# 391. Perfect Rectangle LeetCode Solution | Easy Approach Share:

Perfect Rectangle Given an array `rectangles` where `rectangles[i] = [xi, yi, ai, bi]` represents an axis-aligned rectangle. The bottom-left point of the rectangle is `(xi, yi)` and the top-right point of it is `(ai, bi)`.

Return `true` if all the rectangles together form an exact cover of a rectangular region.

Example 1:

```Input: rectangles = [[1,1,3,3],[3,1,4,2],[3,2,4,4],[1,3,2,4],[2,3,3,4]]
Output: true
Explanation: All 5 rectangles together form an exact cover of a rectangular region.
```

Example 2:

```Input: rectangles = [[1,1,2,3],[1,3,2,4],[3,1,4,2],[3,2,4,4]]
Output: false
Explanation: Because there is a gap between the two rectangular regions.
```

Example 3:

```Input: rectangles = [[1,1,3,3],[3,1,4,2],[1,3,2,4],[2,2,4,4]]
Output: false
Explanation: Because two of the rectangles overlap with each other.
```

Constraints:

• `1 <= rectangles.length <= 2 * 104`
• `rectangles[i].length == 4`
• `-105 <= xi, yi, ai, bi <= 105`

Time: O(n)
Space: O(n)

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