> > > Neat. Was the 15-bit version for 81 values or 361? At the risk of
> > > putting my foot in my mouth, I don't think there exist 361 15-bit
> > > numbers that satisfy minimum requirements (if the floating-point
> > > average of any four code values is a code value, then the four code
> > > values are identical).
> >
> > It was 361 values. So either you are wrong or I have a bug. I
> > probably have a bug. Here's the list. If it violates the rules,
> > please let me know.
>
> Yep, I think I had a bug. I just removed an optimization that I
> thought was valid and now I'm getting smaller lists. So I guess it
> was not valid. Let me see how small I can get the numbers without
> that optimization...
>
Turns out that wasn't the problem. The actual bug was quite
laughable. I won't get into it. But I should have been more
thorough. Now that it's fixed, yeah, you can't do much with 15 bits.
Best I can do now is 30 bits (for 361 values):
{695994,3425151,5024227,6195337,10756099,12685034,14190782,19276645,19610086,21257213,33467706,34107351,37341108,39663043,40080060,48536443,48833891,51324627,51543534,53629094,54053988,54168706,54305010,56936587,62526517,63940143,69626018,69775175,69995191,70462945,75391363,76006948,76501618,79460230,80529907,81403132,81427142,85589571,87427397,89453781,95204521,95832150,96813951,99758135,101514010,101589067,102142872,105663795,106268233,108946420,110387486,110790702,122849738,124725165,130281656,132459869,133186227,139802632,139911791,141710261,152019246,154051409,154143415,154998446,155955509,156443849,156930461,156951172,162639186,163834660,169944699,170406362,171231506,172052012,172729494,176822929,179886663,184729761,187696637,187809326,190587139,191170681,192871608,195485860,195817964,196765001,197946482,201150697,201472754,202302229,202620417,202738844,208306429,209623066,210475067,213121206,217101624,224577359,228344669,230934300,231435565,232545604,236054388,236378269,239823956,240321981,241203134,241319515,241609220,243015914,244216233,244628285,245518085,246135652,246413310,251319494,252973072,253663373,255677525,256201984,256551965,256827858,258031575,260656026,262695529,263215213,263702903,264517567,264634820,264661569,264777221,265723540,270400764,271344419,273431945,275426866,279507931,279866456,283528786,284296293,287747882,289392926,290432257,292673448,294975290,296233685,296975203,299741664,300067552,300637398,304461891,307450069,307512348,309049854,311898495,312869462,313146965,327918875,329692504,330121661,330652505,332363453,334569906,335857027,336029416,336735035,339321881,342035890,343583906,344843555,345319765,346015759,350659471,350915874,357004139,358553978,358917882,361706980,366064140,367487991,370032755,371602915,372246927,373908246,376668997,376922118,376978682,380329069,380972096,387718327,387842677,392635570,393301627,397694050,405850486,406024607,412358645,412558673,414650326,416905120,418841170,420654075,420878387,421213805,422689197,423532325,423793178,429560404,431540248,433615858,436552218,443356387,444548231,446323387,446986427,450508098,453313222,453824514,454438241,459402765,462041992,470095444,473027653,483478444,484450481,486608014,487754448,487775846,501584520,504443815,509124629,513379823,514075817,522523844,523645368,524927756,527372398,527630118,530715243,535181379,536904454,543186587,544381651,551495773,551649352,552809763,554027745,563575354,566207080,569231812,574797489,575273016,577076326,577999448,583153667,585390686,586410479,586702338,591455417,592664380,593479449,596074134,600065212,601451629,602467517,604202068,606078832,621143399,623435448,624051258,624317877,627556192,629151006,633838703,634635468,645639978,653852460,654546857,660483942,660983165,663333489,664487278,664577376,665639265,670495310,672569002,678965542,679566972,685851872,687070897,693799289,700779222,702709872,708672098,712518612,714992770,715459995,715729197,716374965,717491646,723820928,724577712,747610695,749521708,749884719,760970104,763526051,766450146,769105383,770089785,772163869,775854430,779688611,783698944,784218610,792822940,796327419,824425842,829604819,831813149,835302825,839171803,839560212,847621648,847688052,848924436,851960634,854007611,856115045,860091576,869657263,871693393,873578450,879930966,884962756,888034072,903247802,905115311,906290653,907391718,910694188,911008000,911475375,914703110,915892571,919535473,929013993,954796058,955682145,957899111,959768355,970865371,974539259,979447847,980491433,993390326,1006629321,1010711939,1020567488,1023382083,1031975269}
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