Yet Another Unusual Sorting

Computer Science Level 5

You are tasked to sort this permutation of integers from 1 to 1000.

You are supposed to do so using the following operation (and only the following operation):

Remove an element, then insert it at any position that you choose in the list, shifting elements if necessary.

Each time this operation is done, it takes a cost of 1. What is the minimum cost of sorting this permutation?

Inspired by Unusual Sorting

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