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Subject: Re: very simple question for hash tables.

Author: Dave Gomboc

Date: 12:22:54 01/14/00

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On January 14, 2000 at 13:38:19, Jesus de la Villa wrote:

>On January 14, 2000 at 00:55:43, Frank Schneider wrote:
>
>>On January 14, 2000 at 00:47:11, Tom Kerrigan wrote:
>>
>>>'^' is the logical XOR operator in C.
>>>
>>>It has the interesting property that (A ^ B) ^ B = A. Example:
>>>
>>>12345 ^ 6789 = 10940
>>>10940 ^ 6789 = 12345
>>>
>>>To come up with a "unique" number for a particular chess position, you can do
>>>the following:
>>>
>>>unique_id = 0 ^ black_rook_on_a8 ^ black_knight_on_b8 ^ ...
>>>
>>>Where black_rook_on_a8 is a random (but constant) integer. Now, because of the
>>>property mentioned above, you can easily update this unique ID when a piece is
>>>moved. Let's say you move the rook from a8 to a7:
>>>
>>>unique_id = unique_id ^ black_rook_on_a8;
>>>unique_id = unique_id ^ black_rook_on_a7;
>>>
>>>The benefit is that you can hash up this unique ID and use it to index a hash
>>>table.
>>>
>>>-Tom
>>Yes, I think everyone does it like this and it works great.
>>Be careful that your numbers are long enough - use 64bit to
>>make sure you don't get collisions. 32 bit is not enough - do you know the
>>'birthday paradoxon'?
>>
>>Frank
>>
>
>No, can you tell me ?

How many people do you need in a room before it is at least 50% probable that
two or more of them have the same birthday (month and day, but not year)?

Dave



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