Const MEL_SPARSE_COEFFS
MEL_SPARSE_COEFFS: number[][] = [[1, 1, 1.0087615084725814], [2, 1, 0.029087889211125567],[2, 2, 0.958243896036208], [3, 2, 0.5326346877272624],[3, 3, 0.45988057223186607], [4, 3, 1.0072850129664943],[5, 4, 1.0050894259864507], [6, 4, 0.016233689242197466],[6, 5, 0.9763230964529687], [7, 5, 0.5149287456976357],[7, 6, 0.48299891928441196], [8, 6, 1.0020339883784544],[9, 7, 1.0013940582804204], [10, 7, 0.004285414445239434],[10, 8, 0.9936677765505681], [11, 8, 0.4979349533263788],[11, 9, 0.5020647178266697], [12, 9, 0.9896782321684733],[12, 10, 0.006967080931645349], [13, 10, 1.0022486641537054],[14, 11, 1.0033233953996759], [15, 11, 0.4782757843614299],[15, 12, 0.5183887055972138], [16, 12, 0.9736767011426267],[16, 13, 0.01804416217807709], [17, 13, 1.0056329663266226],[18, 14, 1.00808642668908], [19, 14, 0.4576416347984229],[19, 15, 0.5340800956534676], [20, 15, 0.9582897445862256],[20, 16, 0.028988367857957848], [21, 16, 1.008754652772106],[22, 17, 1.0122552436937966], [23, 17, 0.4380796830853842],[23, 18, 0.5491738237632201], [24, 18, 0.9434838949694413],[24, 19, 0.039794474296176746], [25, 19, 1.0116287566447584],[26, 20, 1.0158945544322868], [27, 20, 0.41952402212367873],[27, 21, 0.5637020154076856], [28, 21, 0.9292283399303117],[28, 22, 0.05045785324282485], [29, 22, 1.0142694870195312],[30, 23, 1.0190617246342517], [31, 23, 0.40191289323704393],[31, 24, 0.5776942788784806], [32, 24, 0.915494649120402],[32, 25, 0.060974426459003916], [33, 25, 1.016690283888679],[34, 26, 1.0218076651124588], [35, 26, 0.3851885348435194],[35, 27, 0.5911779611807773], [36, 27, 0.9022565352474414],[36, 28, 0.07134062388959171], [37, 28, 1.0189038677945517],[38, 29, 1.0241776077147466], [39, 29, 0.369297000124277],[39, 30, 0.6041783722578726], [40, 30, 0.8894896443111251],[40, 31, 0.08155334505527755], [41, 31, 1.0209222848386956],[42, 32, 1.0262117836546005], [43, 32, 0.35418795675261777],[43, 33, 0.6167189821271176], [44, 33, 0.87717137085618],[44, 34, 0.09160992335204851], [45, 34, 1.0227569476841007],[46, 35, 1.0279460165329002], [47, 35, 0.3398144781420294],[47, 36, 0.628821594757742], [48, 36, 0.8652806947525041],[48, 37, 0.10150809298528844], [49, 37, 1.0244186730654867],[50, 38, 1.029412240942602], [51, 38, 0.32613283297317347],[51, 39, 0.6405065019041107], [52, 39, 0.8537980365619783],[52, 40, 0.11124595830527892], [53, 40, 1.0259177162406141],[54, 41, 1.030638956235277], [55, 41, 0.3131022777355948],[55, 42, 0.6517926196031543], [56, 42, 0.8427051290118196],[56, 43, 0.12082196533877268], [57, 43, 1.0272638027474759],[58, 44, 1.031651623831845], [59, 44, 0.3006848555240512],[59, 45, 0.6626976096262132], [60, 45, 0.8319849024715039],[60, 46, 0.13023487533380312], [61, 46, 1.0284661577762764],[62, 47, 1.0324730153919173], [63, 47, 0.28884520321029805],[63, 48, 0.6732379878311283], [64, 48, 0.821621382643116],[64, 49, 0.1394837401591093], [65, 49, 1.0295335334192939],[66, 50, 1.0331235182054521], [67, 50, 0.27755036829985363],[67, 51, 0.68342922107227], [68, 51, 0.8115995989355603],[68, 52, 0.148567879414825], [69, 52, 1.0304742340231496],[70, 53, 1.0336214033370148], [71, 53, 0.2667696361817086],[71, 54, 0.6932858140884962], [72, 54, 0.8019055022130549],[72, 55, 0.1574868591255191], [73, 55, 1.031296139836255],[74, 56, 1.0339830613212895], [75, 56, 0.2564743680536822],[75, 57, 0.7028213875855097], [76, 57, 0.7925258907912134],[76, 58, 0.16624047189958738], [77, 58, 1.032006729117501],[78, 59, 1.0342232095724524], [79, 59, 0.24663784949713183],[79, 60, 0.7120487485622758], [80, 60, 0.7834483437084975],[80, 61, 0.17482871845079165], [81, 61, 1.032613098850059],[82, 62, 1.0343550751159198], [83, 62, 0.2372351494674972],[83, 63, 0.7209799537859948], [84, 63, 0.7746611604312031],[84, 64, 0.18325179038711914], [85, 64, 1.0331219841851924],[86, 65, 1.0343905557724016], [87, 65, 0.22824298931879333],[87, 66, 0.7296263672031092], [88, 66, 0.7661533062642226],[88, 67, 0.19151005417692718], [89, 67, 1.0335397767254908],[90, 68, 1.0343403625078313], [91, 68, 0.21963962139622123],[91, 69, 0.7379987119645334], [92, 69, 0.7579143628308538],[92, 70, 0.19960403621540457], [93, 70, 1.0338725417430177],[94, 71, 1.0342141453043734], [95, 71, 0.21140471667072153],[95, 72, 0.746107117663542], [96, 72, 0.7499344830670268],[96, 73, 0.20753440891552338], [97, 73, 1.0341260344172454],[98, 74, 1.034020604597683], [99, 74, 0.20351926086574523],[99, 75, 0.7539611633021215], [100, 75, 0.7422043502477234],[100, 76, 0.2153019777561019], [101, 76, 1.0343057151671131],[102, 77, 1.0337675900563705], [103, 77, 0.19596545852169872],[103, 78, 0.7615699164421695], [104, 78, 0.734715140616724],[104, 79, 0.22290766922455862], [105, 79, 1.034416764143981],[106, 80, 1.03346218824938], [107, 80, 0.1887266444456389],[107, 81, 0.7689419689404797], [108, 81, 0.7274584892496355],[108, 82, 0.23035251959385997], [109, 82, 1.0344640949448594],[110, 83, 1.0331108005456808], [111, 83, 0.18178720201436843],[111, 84, 0.7760854696185804], [112, 84, 0.7204264588178948],[112, 85, 0.23763766448199494], [113, 85, 1.0344523675990727],[114, 86, 1.032719212418228], [115, 86, 0.1751324878193402],[115, 87, 0.7830081541774375], [116, 87, 0.7136115109646374],[116, 88, 0.2447643291417676], [117, 88, 1.0343860008764458],[118, 89, 1.0322926551739824], [119, 89, 0.16874876216974247],[119, 90, 0.789717372631832], [120, 90, 0.7070064800338803],[120, 91, 0.2517338194331562], [121, 91, 1.0342691839607763],[122, 92, 1.0318358610025598], [123, 92, 0.16262312499771858],[123, 93, 0.7962201145052664], [124, 93, 0.7006045489251309],[124, 94, 0.25854751343650967], [125, 94, 1.0341058875275075],[126, 95, 1.0313531121234998], [127, 95, 0.15674345673841866],[127, 96, 0.8025230320033012], [128, 96, 0.6943992268713032],[128, 97, 0.2652068536620191], [129, 97, 1.033899874262366],[130, 98, 1.030848284714744], [131, 98, 0.1510983637896712],[131, 99, 0.8086324613545763], [132, 99, 0.6883843289574696],[132, 100, 0.2717133398209474], [133, 100, 1.033654708853177],[134, 101, 1.0303248882205327], [135, 101, 0.14567712818173575],[135, 102, 0.8145544424922615], [136, 102, 0.6825539572209546],[136, 103, 0.2780685221191216], [137, 103, 1.033373767485838],[138, 104, 1.0297861005632643], [139, 104, 0.14046966111762169],[139, 105, 0.8202947372282664], [140, 105, 0.6769024831869065],[140, 106, 0.28427399504058354], [141, 106, 1.0330602468722847],[142, 107, 1.029234799720434], [143, 107, 0.13546646006984392],[143, 108, 0.8258588460540109], [144, 108, 0.671424531713726],[144, 109, 0.290331391589362], [145, 109, 1.0327171728357682],[146, 110, 1.0286735920712562], [147, 110, 0.13065856914309196],[147, 111, 0.8312520236957351], [148, 111, 0.6661149660273628],[148, 112, 0.2962423779602388], [149, 112, 1.03234740847843],[150, 113, 1.0281048378703825], [151, 113, 0.12603754244145],[151, 114, 0.8364792935255917], [152, 114, 0.6609688738465388],[152, 115, 0.30200864860954885], [153, 115, 1.0319536619522978],[154, 116, 1.0275306741623285], [155, 116, 0.12159541018943322],[155, 117, 0.8415454609370665], [156, 117, 0.655981554500098],[156, 118, 0.3076319217011811], [157, 118, 1.031538493855763],[158, 119, 1.0269530354146845], [159, 119, 0.11732464738966399],[159, 120, 0.846455125764718], [160, 120, 0.6511485069565366],[160, 121, 0.3131139349019227], [161, 121, 1.0311043242739946],[162, 122, 1.0263736721146446], [163, 122, 0.11321814480714538],[163, 123, 0.851212693834753], [164, 123, 0.6464654186857061],[164, 124, 0.3184564415055735], [165, 124, 1.0306534394819706],[166, 125, 1.0257941675461106], [167, 125, 0.10926918209624069],[167, 126, 0.8558223877141483], [168, 126, 0.6419281552876014],[168, 127, 0.32366120686047056], [169, 127, 1.0301879983273805],[170, 128, 1.0252159529388847], [171, 128, 0.10547140289367021],[171, 129, 0.8602882567276612], [172, 129, 0.6375327508240597],[172, 130, 0.32873000508360367], [173, 130, 1.0297100383091813],[174, 131, 1.0246403211604227], [175, 131, 0.10181879172477112],[175, 132, 0.8646141862987496], [176, 132, 0.6332753987956673],[176, 133, 0.33366461604209907], [177, 133, 1.0292214813668379],[178, 134, 1.0240684391009978], [179, 134, 0.09830565257411007],[179, 135, 0.8688039066707689], [180, 135, 0.6291524437169539],[180, 136, 0.3384668225808326], [181, 136, 1.0287241393952773],[182, 137, 1.0235013588866442], [183, 137, 0.0949265889928822],[183, 138, 0.8728610010546515], [184, 138, 0.6251603732380943],[184, 139, 0.3431384079843332], [185, 139, 1.0282197194980238],[186, 140, 1.0229400280388043], [187, 140, 0.09167648561647405],[187, 141, 0.8767889132518744], [188, 141, 0.6212958107744541],[188, 142, 0.3476811536535296], [189, 142, 1.0277098289923983],[190, 143, 1.0223852986877378], [191, 143, 0.08855049098843445],[191, 144, 0.8805909547856343], [192, 144, 0.6175555086043407],[192, 145, 0.35209683698566024], [193, 145, 1.0271959801772084],[194, 146, 1.021837935933431], [195, 146, 0.08554400158179727],[195, 147, 0.8842703115872171], [196, 147, 0.6139363413989273],[196, 148, 0.35638722943949186], [197, 148, 1.026679594876984],[198, 149, 1.0212986254395027], [199, 149, 0.082652646931321],[199, 150, 0.8878300502607867], [200, 150, 0.6104353001536761],[200, 151, 0.3605540947783916], [201, 151, 1.0261620087703698],[202, 152, 1.020767980334856], [203, 152, 0.07987227578640096],[203, 153, 0.8912731239662092], [204, 153, 0.6070494864912312],[204, 154, 0.364599187472458], [205, 154, 1.025644475516362],[206, 155, 1.0202465474911722], [207, 155, 0.07719894321045902],[207, 156, 0.8946023779404728], [208, 156, 0.6037761073076129],[208, 157, 0.36852425125748506], [209, 157, 1.0251281706842847],[210, 158, 1.0197348132361097], [211, 158, 0.07462889855138014],[211, 159, 0.8978205546916732], [212, 159, 0.6006124697383151],[212, 160, 0.3723310178292769], [213, 160, 1.0246141955013988],[214, 161, 1.0192332085569418], [215, 161, 0.07215857422040488],[215, 162, 0.9009302988805], [216, 162, 0.5975559764226185],[216, 163, 0.37602120567284064], [217, 163, 1.024103580422386],[218, 164, 1.018742113842709], [219, 164, 0.06978457521665815],[219, 165, 0.9039341619174114], [220, 165, 0.5946041210439893],[220, 166, 0.3795965190111676], [221, 166, 1.0235972885322195],[222, 167, 1.0182618632088625], [223, 167, 0.0675036693443592],[223, 168, 0.9068346062921914], [224, 168, 0.5917544841265701],[224, 169, 0.3830586468674795], [225, 169, 1.0230962187892327],[226, 170, 1.0177927484431766], [227, 170, 0.06531277806896706],[227, 171, 0.9096340096561174], [228, 171, 0.5890047290713193],[228, 172, 0.38640926223293437], [229, 172, 1.0226012091159231],[230, 173, 1.017335022608167], [231, 173, 0.0632089679653424],[231, 174, 0.9123346686734497], [232, 174, 0.586352598418078],[232, 175, 0.3896500213288084], [233, 175, 1.0221130393455482],[234, 176, 1.0168889033326205], [235, 176, 0.06118944272087777],[235, 177, 0.914938802652698], [236, 177, 0.5837959103122896],[236, 178, 0.39278256296329067], [237, 178, 1.0216324340290364],[238, 179, 1.0164545758191], [239, 179, 0.05925153564332089],[239, 180, 0.9174485569826359], [240, 180, 0.5813325551691159],[240, 181, 0.3958085079669357], [241, 181, 1.0211600651125134],[242, 182, 1.01603219559476], [243, 182, 0.05739270264601734],[243, 183, 0.919866006375456], [244, 183, 0.578960492519135],[244, 184, 0.39872945870775167], [245, 184, 1.020696554488055],[246, 185, 1.0156218910279706], [247, 185, 0.055610515672866775],[247, 186, 0.9221931579354511], [248, 186, 0.5766777480237313],[248, 187, 0.4015469986761612], [249, 187, 1.0202424764259312],[250, 188, 1.0152237656316911], [251, 188, 0.05390265653168126],[251, 189, 0.9244319540637365], [252, 189, 0.5744824106486663],[252, 190, 0.4042626921377848], [253, 190, 1.0197983598926021],[254, 191, 1.0148379001729047], [255, 191, 0.052266911108559244],[255, 192, 0.9265842752073952], [256, 192, 0.5723726299899468],[256, 193, 0.40687808384383367], [257, 193, 1.0193646907609162],[258, 194, 1.0144643546050645], [259, 194, 0.05070116393653833],[259, 195, 0.9286519424651887], [260, 195, 0.5703466137364466],[260, 196, 0.4093946987997115], [261, 196, 1.0189419139168765],[262, 197, 1.014103169839173], [263, 197, 0.04920339309393266],[263, 198, 0.9306367200572258], [264, 198, 0.5684026252644323],[264, 199, 0.41181404208517797], [265, 199, 1.0185304352678317],[266, 200, 1.0137543693675302], [267, 200, 0.04777166540942449],[267, 201, 0.9325403176671191], [268, 201, 0.5665389813575877],[268, 202, 0.4141375987198434], [269, 202, 1.0181306236573189],[270, 203, 1.0134179607527265], [271, 203, 0.04640413195303674],[271, 204, 0.934364392667829], [272, 204, 0.5647540500383554],[272, 205, 0.4163668335733731], [273, 205, 1.017742812691386],[274, 206, 1.0130939369942324], [275, 206, 0.04509902379599986],[275, 207, 0.9361105522297561], [276, 207, 0.5630462485124229],[276, 208, 0.4185031913161667], [277, 208, 1.0173673024779883],[278, 209, 1.0127822777820206], [279, 209, 0.043854648017688035],[279, 210, 0.9377803553285139], [280, 210, 0.5614140412123577],[280, 211, 0.42054809640522234], [281, 211, 1.0170043612872055],[282, 212, 1.0124829506474082], [283, 212, 0.042669383945431606],[283, 213, 0.9393753146522579], [284, 213, 0.5598559379382144],[284, 214, 0.42250295310432634], [285, 214, 1.016654227133528],[286, 215, 1.0121959120202477], [287, 215, 0.04154167961383383],[287, 216, 0.9408968984130733], [288, 216, 0.5583704920894111],[288, 217, 0.42436914553372207], [289, 217, 1.0163171092845467],[290, 218, 1.0119211081990869], [291, 218, 0.04047004842376173],[291, 219, 0.9423465320743504], [292, 219, 0.5569562989809166],[292, 220, 0.4261480377490578], [293, 220, 1.0159931896995795],[294, 221, 1.0116584762427925], [295, 221, 0.03945306599345366],[295, 222, 0.9437255999933521], [296, 222, 0.5556119942410062],[296, 223, 0.4278409738424421], [297, 223, 1.0156826244024533],[298, 224, 1.0114079447897668], [299, 224, 0.038489367187566605],[299, 225, 0.9450354469842541], [300, 225, 0.5543362522836106],[300, 226, 0.42944927807097044], [301, 226, 1.015385544788648],[302, 227, 1.0111694348102989], [303, 227, 0.03757764331096192],[303, 228, 0.9462773798108762], [304, 228, 0.5531277848528364],[304, 229, 0.4309742550012965], [305, 229, 1.0151020588742643],[306, 230, 1.010942860298229], [307, 230, 0.036716639459590646],[307, 231, 0.9474526686068676], [308, 231, 0.5519853396352962],[308, 232, 0.4324171896758833], [309, 232, 1.0148322524854105],[310, 233, 1.0107281289063446], [311, 233, 0.03590515201636021],[311, 234, 0.9485625482321702], [312, 234, 0.5509076989367998],[312, 235, 0.43377934779319954], [313, 235, 1.0145761903940136],[314, 236, 1.0105251425307091], [315, 236, 0.03514202628559325],[315, 237, 0.9496082195647421], [316, 237, 0.5498936784177629],[316, 238, 0.4350619759070698], [317, 238, 1.014333917399279],[318, 239, 1.0103337978471305], [319, 239, 0.03442615425358563],[319, 240, 0.9505908507379167], [320, 240, 0.5489421258861396],[320, 241, 0.43626630163460317], [321, 241, 1.0141054593619083],[322, 242, 1.01015398680447], [323, 242, 0.03375647247069698],[323, 243, 0.9515115783174108], [324, 243, 0.5480519201477565],[324, 244, 0.43739353387882146], [325, 244, 1.0138908241879996],[326, 245, 1.0099855970782285], [327, 245, 0.033131960048180864],[327, 246, 0.9523715084281075], [328, 246, 0.5472219699015581],[328, 247, 0.438444863061944], [329, 247, 1.013690002769195],[330, 248, 1.009828512486449], [331, 248, 0.0325516367573507],[331, 249, 0.9531717178331495], [332, 249, 0.5464512126887197],[332, 250, 0.43942146136466664], [333, 250, 1.0135029698801676],[334, 251, 1.0096826133725936], [335, 251, 0.03201456123217285],[335, 252, 0.9539132549610332], [336, 252, 0.5457386138858732],[336, 253, 0.4403244829779182], [337, 253, 1.0133296850325435],[338, 254, 1.009547776957031], [339, 254, 0.03151982926510845],[339, 255, 0.9545971408911784], [340, 255, 0.5450831657405287],[340, 256, 0.44115506435778573], [341, 256, 1.0131700932920482],[342, 257, 1.0094238776594737], [343, 257, 0.031066572189892106],[343, 258, 0.9552243702967873], [344, 258, 0.5444838864501296],[344, 259, 0.44191432448690826], [345, 259, 1.013024126057376],[346, 260, 1.0093107873949636], [347, 260, 0.030653955347715485],[347, 261, 0.9557959123477745], [348, 261, 0.5439398192781751],[348, 262, 0.44260336514265247], [349, 262, 1.01289170180302],[350, 263, 1.0092083758457435], [351, 263, 0.03028117663272106],[351, 264, 0.956312711573757], [352, 264, 0.5434500317097861],[352, 265, 0.44322327116676213], [353, 265, 1.012772726788603],[354, 266, 1.0091165107105933], [355, 266, 0.029947465111254432],[355, 267, 0.9567756886915669], [356, 267, 0.5430136146404813],[356, 268, 0.443775110739594], [357, 268, 1.0126670957357586],[358, 269, 1.0090350579329337], [359, 269, 0.02965207970869547],[359, 270, 0.9571857414000476], [360, 270, 0.5426296815994802],[360, 271, 0.44425993565630856], [361, 271, 1.012574692474406],[362, 272, 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