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https://issues.apache.org/jira/browse/CALCITE-6763?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=17911252#comment-17911252
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Julian Hyde commented on CALCITE-6763:
--------------------------------------

Oops, you're right. 1 is the initial capacity. I now agree that your fix is an 
improvement, so +1. 

Since this issue is a performance fix, I would like it much more if it had a 
benchmark. I would be surprised if your change gives a perceptible change in 
running time. {{PriorityQueue.add}} is cheap - {{O(log N)}} - even if initial 
capacity is 1. 

In a benchmark with a large number of tiles, especially if those tiles have 
many different distinct values for {{TileKey.dimensions}}, I think a 
partially-ordered data structure would help. A possible data structure is 
[class 
PartiallyOrderedSet|https://calcite.apache.org/javadocAggregate/org/apache/calcite/util/PartiallyOrderedSet.html].

> Optimize logic to select the tiles with the fewest rows 
> --------------------------------------------------------
>
>                 Key: CALCITE-6763
>                 URL: https://issues.apache.org/jira/browse/CALCITE-6763
>             Project: Calcite
>          Issue Type: Improvement
>          Components: core
>            Reporter: xiaochen.zhou
>            Priority: Minor
>              Labels: pull-request-available
>         Attachments: image-2025-01-08-12-39-52-295.png, 
> image-2025-01-08-12-40-26-332.png
>
>
> Our current logic using a PriorityQueue to select the tile with the fewest 
> rows when multiple tiles are available. However, there are several potential 
> issues:
> 1. The PriorityQueue stores all satisfiable tiles. When the number of tiles 
> is large, maintaining the heap structure during element insertion has a time 
> complexity of O(log n), which also increases memory usage.
> 2. The initial size of the PriorityQueue is difficult to estimate and is 
> currently set to 1, causing frequent resizing of the PriorityQueue.
> We can optimize the code by keeping only a single bestCandidate tile to 
> improve performance.



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