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From: =?utf-8?B?Y2NhNTUwNw==?= <[email protected]>
To: =?utf-8?B?Sm9obiBOYXlsb3I=?= <[email protected]>
To: =?utf-8?B?U2FtaSBJbXNlaWg=?= <[email protected]>
Cc: =?utf-8?B?SGVpa2tpIExpbm5ha2FuZ2Fz?= <[email protected]>
Cc: =?utf-8?B?cGdzcWwtaGFja2Vycw==?= <[email protected]>
Subject: Re: Support loser tree for k-way merge
Date: Thu, 4 Dec 2025 14:11:29 +0800
Message-ID: <[email protected]> (raw)
In-Reply-To: <CANWCAZYKgc4xFbBXtePw_XY+a+Ao_-CxZ+Z8YWSrK2B1HqtdWg@mail.gmail.com>
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	<CANWCAZYKgc4xFbBXtePw_XY+a+Ao_-CxZ+Z8YWSrK2B1HqtdWg@mail.gmail.com>

Hi,

I summarized the number of comparisons needed for different 'k':

k = 2, heap: 1, loser tree: 1
k = 3, heap: 2, loser tree: [1, 2]
k = 4, heap: [2, 3], loser tree: 2
k = 5, heap: [2, 4], loser tree: [2, 3]

So if k < 5, the loser tree is never worse than the heap for any input data. 

Thoughts?

--
Regards,
ChangAo Chen


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