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B树的最小和最大高度

[英]minimum and maximum height of B-Tree

I see in one note that: minimum and maximum height of B-Tree with 1000 elements on following conditions: 我在一个注释中看到:在以下条件下,具有1000 elementsB-Tree最小和最大height

each blocks can save 1 to 4 records . 每个块可以保存1 to 4 records number of internal nodes between 3 and 5 and number of children of root is 3 and 5 . between 3 and 5的内部节点数between 3 and 5 root的子节点数是3 and 5

the solution is : 4<= h <=7. 解决方案是: 4<= h <=7. how this is reach? 这是怎么到达的?

Hint: 暗示:

See: 看到:

http://en.wikipedia.org/wiki/B-tree#Best_case_and_worst_case_heights http://en.wikipedia.org/wiki/B-tree#Best_case_and_worst_case_heights

in your case [log 1000] = 7 so the worst case is 7. Why? 在你的情况下[log 1000] = 7所以最坏的情况是7.为什么?

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