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Explain how deletion is handled in open addressing

#1
04-08-2022, 08:48 AM
You know deletion in open addressing messes up the probe paths right away. I see it happen when you remove a key without care. Searches follow those chains and stop early if spots go empty. But marking the spot as deleted keeps the flow going for later lookups. You flag it so insertions and finds still check further down the sequence.

I always tell you that just clearing the bucket breaks everything after it. Probes rely on hitting occupied or marked spots to know where to continue. And then you risk missing keys that landed there because of collisions earlier. Perhaps you try to reinsert something and it lands wrong without those flags. Now searches slow down or fail if you skip the markers altogether.

You handle this with a special tombstone flag instead of true removal. I find that lets the algorithm treat it as occupied during probes but available for new inserts later. But you still have to scan past it every time until you hit an empty spot. Or maybe the table fills with these flags and performance drops hard over time. Then you might need to rebuild the whole thing to clean up the clutter.

I watch how linear probing suffers most from this because chains grow long with deletes scattered in. You see quadratic probing scatter things differently yet still needs the same markers to avoid gaps. And clustering gets worse when many deletes pile up without fixes. Perhaps you implement a counter for deleted items to trigger a resize sooner. Now the hash function choices matter less than keeping those probe sequences intact.

You learn that without proper deletion handling collisions multiply fast after removes. I explain to you how an insert might overwrite a deleted flag to reuse space efficiently. But searches must ignore the flag and keep going until finding the key or a real empty. Or the whole table becomes unreliable if you skip this step in code. Then debugging takes forever when keys vanish mysteriously.

I notice rehashing sometimes clears all deleted markers at once during growth. You resize the array and reinsert everything to start fresh without old flags. And that costs time but prevents the probe chains from stretching too far. Perhaps you batch deletes and clean only when load factors hit certain points. Now your junior work benefits from testing these cases with sample data sets.

You deal with double hashing by applying the same delete marker logic across secondary sequences. I see you adapt it so each hash step respects the flagged spots. But varying the steps avoids some clustering issues deletion creates. Or you experiment with different load thresholds to minimize marker buildup. Then overall efficiency stays better for your applications.

I think you should track how many deleted entries exist separately to decide on cleanups. You avoid full rebuilds until necessary but monitor the impact on search times. And partial sentences like this fit because real talks jump around. Perhaps the key insight hits you when simulating a few removes in a small table. Now the idea clicks that empty spots are sacred for stopping probes while deleted ones are not.

You realize open addressing demands this lazy approach over eager removal in most setups. I tell you it preserves correctness for all operations following the initial hash. But it adds overhead in memory for those extra states per bucket. Or you combine it with periodic compaction routines in larger systems. Then your designs handle deletes without breaking the fundamental mechanics.

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ProfRon
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Explain how deletion is handled in open addressing

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