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# 1725. Number Of Rectangles That Can Form The Largest Square

<https://leetcode.com/problems/number-of-rectangles-that-can-form-the-largest-square>

## Description

You are given an array `rectangles` where `rectangles[i] = [li, wi]` represents the `ith` rectangle of length `li` and width `wi`.

You can cut the `ith` rectangle to form a square with a side length of `k` if both `k <= li` and `k <= wi`. For example, if you have a rectangle `[4,6]`, you can cut it to get a square with a side length of at most `4`.

Let `maxLen` be the side length of the **largest** square you can obtain from any of the given rectangles.

Return *the **number** of rectangles that can make a square with a side length of* `maxLen`.

**Example 1:**

```

**Input:** rectangles = [[5,8],[3,9],[5,12],[16,5]]
**Output:** 3
**Explanation:** The largest squares you can get from each rectangle are of lengths [5,3,5,5].
The largest possible square is of length 5, and you can get it out of 3 rectangles.
```

**Example 2:**

```

**Input:** rectangles = [[2,3],[3,7],[4,3],[3,7]]
**Output:** 3
```

**Constraints:**

* `1 <= rectangles.length <= 1000`
* `rectangles[i].length == 2`
* `1 <= li, wi <= 109`
* `li != wi`

## ac

```java
```
