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English: Sorting a list of cards first by suit (order: clubs (♣), diamonds (♦), hearts (♥), spades (♠)), and then by rank within each suit. This is done by first sorting by rank (using any sort), and then using a stable sort to sort by suit. This demonstrates one application of stable sorting.
The notches allow efficient sorting of a large number of cards in a paper-based database, as well as the selection of specific cards matching multiple desired criteria. Unlike machine-readable punched cards , edge-notched cards were designed to be manually sorted by human operators.
English: An example of stable sorting on playing cards. When the cards are sorted by rank with a stable sort, the two 5s must remain in the same order in the sorted output that they were originally in. When they are sorted with a non-stable sort, the 5s may end up in the opposite order in the sorted output.
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Stable sort algorithms sort equal elements in the same order that they appear in the input. For example, in the card sorting example to the right, the cards are being sorted by their rank, and their suit is being ignored. This allows the possibility of multiple different correctly sorted versions of the original list.
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First, execute the sorting algorithm as described above. The number of piles is the length of a longest subsequence. Whenever a card is placed on top of a pile, put a back-pointer to the top card in the previous pile (that, by assumption, has a lower value than the new card has). In the end, follow the back-pointers from the top card in the ...
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