Count Inversions

In computer science and discrete mathematics, an inversion is a pair of places in a sequence where the elements in these places are out of their natural order. So, if we use ascending order for a group of numbers, then an inversion is when larger numbers appear before lower number in a sequence.

Check out this example sequence: (1, 2, 5, 3, 4, 7, 6) and we can see here three inversions

- 5 and 3;
- 5 and 4;
- 7 and 6.

You are given a sequence of unique numbers and you should count the number of inversions in this sequence. ...

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