Given the function **fun(x)** as defined as:

```
fun(0) = 24, fun(1) = 42
fun(x) = x * fun(x - 1) + fun(x - 2)
```

Let **F** equal **fun(1000)**. What are the *last* 3 digits of **F**?

**Details and assumptions**

Try writing your program so that it takes only 1 second to run.

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