# Max Product of Three Numbers

Given a list of integers `nums`

, find the largest product of three distinct elements.

**Constraints**

`3 ≤ n ≤ 100,000`

where`n`

is the length of`nums`

https://binarysearch.com/problems/Max-Product-of-Three-Numbers

## Examples

### Example 1

**Input**

- nums =
`[5, 4, 1, 3, -2, -2]`

**Output**

- answer =
`60`

**Explanation**

We can multiply `5 * 4 * 3`

### Example 2

**Input**

- nums =
`[-3, 1, 1, 0]`

**Output**

- answer =
`0`

**Explanation**

We can multiply `1 * 1 * 0`

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