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Editorial Team
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Editorial Team
Asked: May 30, 20262026-05-30T17:04:24+00:00 2026-05-30T17:04:24+00:00

Got asked this in a lecture…stumped by it a bit. how can you guarantee

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Got asked this in a lecture…stumped by it a bit.

how can you guarantee that quicksort will always sort an array of integers?

Thanks.

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  1. Editorial Team
    Editorial Team
    2026-05-30T17:04:25+00:00Added an answer on May 30, 2026 at 5:04 pm

    Quicksort function by taking a pivot value, and sorting the remaining data in to two groups. One higher and one lower. You then do this to the each group in turn until you get groups no larger than one. At this point you can guarantee that the data is sorted because you can guarantee that any pivot value is in the correct place because you have directly compared it with another pivot value, which is also in the correct place. In the end, you are left with sets of size 1 or size 0 which cannot be sorted because they cannot be rearranged and thus are already sorted.

    Hope this helps, it was what we were taught for A Level Further Mathematics (16-18, UK).

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