Index Sort (a.k.a tally sort)

Index Sort is now offically faster than quick sort!!!

All examples have the same list to work with.

Three Examples:

A Random List With 100,000,000 Items In It Was Made In 2127ms.

Starting Sort:
Index Sort has sorted 100,000,000 items in 3292ms.
Quick Sort has sorted 100,000,000 items in 13186ms.

Index Sort Was 9,894ms Faster Than Quick Sort
A Random List With 100,000,000 Items In It Was Made In 2143ms.

Starting Sort:
Index Sort has sorted 100,000,000 items in 3261ms.
Quick Sort has sorted 100,000,000 items in 13118ms.

Index Sort Was 9,857ms Faster Than Quick Sort

This last one is when Index Sort does not know the List Max while Quick Sort Does.

A Random List With 100,000,000 Items In It Was Made In 1967ms.

Starting Sort:
Index Sort has sorted 100,000,000 items in 3251ms.
Quick Sort has sorted 100,000,000 items in 13052ms.

Index Sort Was 9,801ms Faster Than Quick Sort