# these weights were calculated using flex.1-alpha. A similar weighing scheme has been seen with other flowmatch models as well.

default_weighing_scheme = [
    0.905706524848938,
    0.9097874164581299,
    0.9251009821891785,
    0.9399133920669556,
    0.9497355818748474,
    0.962195873260498,
    0.9691638946533203,
    0.9927358627319336,
    1.01659095287323,
    1.0392684936523438,
    1.0429067611694336,
    1.0677919387817383,
    1.092896580696106,
    1.1149251461029053,
    1.1015851497650146,
    1.1209120750427246,
    1.1399472951889038,
    1.1559219360351562,
    1.143755555152893,
    1.160578727722168,
    1.1761468648910522,
    1.1895899772644043,
    1.1867371797561646,
    1.1993824243545532,
    1.2113513946533203,
    1.2201216220855713,
    1.221794605255127,
    1.2329251766204834,
    1.2426395416259766,
    1.251118540763855,
    1.2562459707260132,
    1.2668883800506592,
    1.2760146856307983,
    1.2822540998458862,
    1.2892439365386963,
    1.2972776889801025,
    1.3042182922363281,
    1.3104143142700195,
    1.3190876245498657,
    1.3253265619277954,
    1.3295484781265259,
    1.3324649333953857,
    1.3436106443405151,
    1.3482736349105835,
    1.351183533668518,
    1.3556060791015625,
    1.359933614730835,
    1.3625402450561523,
    1.3641390800476074,
    1.3723753690719604,
    1.3748365640640259,
    1.3776681423187256,
    1.3802807331085205,
    1.3848408460617065,
    1.3877429962158203,
    1.390969157218933,
    1.3927756547927856,
    1.4031920433044434,
    1.4064390659332275,
    1.4097232818603516,
    1.4132285118103027,
    1.4208053350448608,
    1.4254504442214966,
    1.4294012784957886,
    1.4323071241378784,
    1.44380521774292,
    1.4465110301971436,
    1.4490883350372314,
    1.451446533203125,
    1.458960771560669,
    1.460111379623413,
    1.4603426456451416,
    1.4595434665679932,
    1.4694839715957642,
    1.470526099205017,
    1.4705318212509155,
    1.4697961807250977,
    1.477265477180481,
    1.4771337509155273,
    1.4768965244293213,
    1.4760032892227173,
    1.4871419668197632,
    1.4877341985702515,
    1.488408088684082,
    1.489357829093933,
    1.4884581565856934,
    1.4882304668426514,
    1.4878745079040527,
    1.4949846267700195,
    1.4957915544509888,
    1.4951081275939941,
    1.4950779676437378,
    1.4995663166046143,
    1.4994632005691528,
    1.4986882209777832,
    1.4976568222045898,
    1.5038518905639648,
    1.503743052482605,
    1.502982258796692,
    1.502566933631897,
    1.5068002939224243,
    1.506575584411621,
    1.5067178010940552,
    1.5050104856491089,
    1.508437991142273,
    1.5073161125183105,
    1.506223440170288,
    1.504751205444336,
    1.512485384941101,
    1.5121595859527588,
    1.5116060972213745,
    1.5102864503860474,
    1.5156408548355103,
    1.5157924890518188,
    1.5142825841903687,
    1.5141233205795288,
    1.5191627740859985,
    1.518998622894287,
    1.5177574157714844,
    1.516713261604309,
    1.5186537504196167,
    1.5179635286331177,
    1.5159885883331299,
    1.5150446891784668,
    1.5226575136184692,
    1.5215232372283936,
    1.5201103687286377,
    1.5225480794906616,
    1.5215368270874023,
    1.520209789276123,
    1.5184354782104492,
    1.5220975875854492,
    1.5209708213806152,
    1.519667625427246,
    1.5177332162857056,
    1.5203157663345337,
    1.519271731376648,
    1.5175830125808716,
    1.5161852836608887,
    1.517741322517395,
    1.5163099765777588,
    1.5150357484817505,
    1.513055682182312,
    1.5154107809066772,
    1.513993501663208,
    1.5126358270645142,
    1.510875940322876,
    1.5125701427459717,
    1.510590672492981,
    1.5086392164230347,
    1.5068501234054565,
    1.5094420909881592,
    1.5080277919769287,
    1.5060293674468994,
    1.5040230751037598,
    1.504892110824585,
    1.5031654834747314,
    1.5013214349746704,
    1.499170184135437,
    1.500420331954956,
    1.4979915618896484,
    1.4959659576416016,
    1.494127631187439,
    1.4961415529251099,
    1.494597315788269,
    1.4926577806472778,
    1.4904958009719849,
    1.4913445711135864,
    1.489889144897461,
    1.4880430698394775,
    1.4873780012130737,
    1.485144019126892,
    1.4830609560012817,
    1.48123037815094,
    1.483134150505066,
    1.4808504581451416,
    1.4793643951416016,
    1.4773707389831543,
    1.4774049520492554,
    1.4752962589263916,
    1.4733281135559082,
    1.4712235927581787,
    1.470260500907898,
    1.4684780836105347,
    1.4657323360443115,
    1.4639259576797485,
    1.4644291400909424,
    1.4621423482894897,
    1.4604870080947876,
    1.4585931301116943,
    1.458650827407837,
    1.456871747970581,
    1.4548134803771973,
    1.4528228044509888,
    1.4519706964492798,
    1.4501826763153076,
    1.448083519935608,
    1.446316123008728,
    1.4454604387283325,
    1.4432463645935059,
    1.4412567615509033,
    1.4390138387680054,
    1.4388699531555176,
    1.437005877494812,
    1.4348008632659912,
    1.4327361583709717,
    1.4320861101150513,
    1.4304683208465576,
    1.4287059307098389,
    1.4264065027236938,
    1.424929141998291,
    1.4226492643356323,
    1.4205398559570312,
    1.4207192659378052,
    1.4187930822372437,
    1.4170515537261963,
    1.415097713470459,
    1.4142191410064697,
    1.412431001663208,
    1.4104442596435547,
    1.4082318544387817,
    1.4076896905899048,
    1.4057838916778564,
    1.4034852981567383,
    1.4016139507293701,
    1.4003900289535522,
    1.3983466625213623,
    1.3962912559509277,
    1.3940908908843994,
    1.3933204412460327,
    1.3910188674926758,
    1.3888089656829834,
    1.3865182399749756,
    1.3853325843811035,
    1.3832392692565918,
    1.3812776803970337,
    1.3789170980453491,
    1.3797601461410522,
    1.3777130842208862,
    1.3756908178329468,
    1.3735847473144531,
    1.3711339235305786,
    1.3690725564956665,
    1.366849660873413,
    1.364676833152771,
    1.364690899848938,
    1.362541675567627,
    1.3608990907669067,
    1.358725666999817,
    1.3566731214523315,
    1.3549315929412842,
    1.3522361516952515,
    1.3527694940567017,
    1.3506978750228882,
    1.3486748933792114,
    1.3464853763580322,
    1.344880223274231,
    1.3429863452911377,
    1.3410741090774536,
    1.3392194509506226,
    1.3374866247177124,
    1.3356633186340332,
    1.333699345588684,
    1.3316830396652222,
    1.3293700218200684,
    1.327602744102478,
    1.325606107711792,
    1.323636770248413,
    1.322487473487854,
    1.3201935291290283,
    1.3185865879058838,
    1.3163570165634155,
    1.315348505973816,
    1.3135069608688354,
    1.3115581274032593,
    1.309351921081543,
    1.3080940246582031,
    1.306084394454956,
    1.3041918277740479,
    1.3022172451019287,
    1.30052649974823,
    1.2984906435012817,
    1.296433925628662,
    1.294618844985962,
    1.2924813032150269,
    1.290629267692566,
    1.288609504699707,
    1.286437749862671,
    1.2852808237075806,
    1.2831010818481445,
    1.281022071838379,
    1.2789161205291748,
    1.2785669565200806,
    1.2766060829162598,
    1.274585485458374,
    1.2728400230407715,
    1.2709832191467285,
    1.2691309452056885,
    1.2671318054199219,
    1.265442132949829,
    1.2635501623153687,
    1.2614946365356445,
    1.2593908309936523,
    1.257880449295044,
    1.2560313940048218,
    1.254082441329956,
    1.2522804737091064,
    1.2505096197128296,
    1.2482692003250122,
    1.2462091445922852,
    1.2445822954177856,
    1.2432236671447754,
    1.2414650917053223,
    1.2396503686904907,
    1.2376699447631836,
    1.2357380390167236,
    1.2339240312576294,
    1.2320566177368164,
    1.2299892902374268,
    1.2286840677261353,
    1.226925015449524,
    1.2250070571899414,
    1.223126769065857,
    1.2215166091918945,
    1.2196996212005615,
    1.2178195714950562,
    1.2158279418945312,
    1.2140803337097168,
    1.2121261358261108,
    1.210100769996643,
    1.2083507776260376,
    1.2063525915145874,
    1.2046012878417969,
    1.2027149200439453,
    1.201154112815857,
    1.1992254257202148,
    1.1971834897994995,
    1.1951549053192139,
    1.1935709714889526,
    1.191764235496521,
    1.1898930072784424,
    1.187896728515625,
    1.186535120010376,
    1.184600591659546,
    1.1826894283294678,
    1.1809728145599365,
    1.1789331436157227,
    1.1774684190750122,
    1.1756458282470703,
    1.1736308336257935,
    1.1719911098480225,
    1.1701127290725708,
    1.1681468486785889,
    1.165921926498413,
    1.16463041305542,
    1.1627451181411743,
    1.1608567237854004,
    1.1590938568115234,
    1.1575335264205933,
    1.1555901765823364,
    1.1538552045822144,
    1.1518657207489014,
    1.14994215965271,
    1.1481153964996338,
    1.14644455909729,
    1.1444120407104492,
    1.1428122520446777,
    1.1410313844680786,
    1.1391836404800415,
    1.137330412864685,
    1.135434627532959,
    1.1336791515350342,
    1.131978154182434,
    1.1300874948501587,
    1.128359317779541,
    1.1264809370040894,
    1.1248611211776733,
    1.122762680053711,
    1.1209162473678589,
    1.1190710067749023,
    1.1172044277191162,
    1.1158984899520874,
    1.1140459775924683,
    1.1124012470245361,
    1.110682487487793,
    1.1087219715118408,
    1.106826901435852,
    1.1050584316253662,
    1.1034021377563477,
    1.1011031866073608,
    1.0996853113174438,
    1.0978131294250488,
    1.0963127613067627,
    1.0944904088974,
    1.0927494764328003,
    1.0910944938659668,
    1.0892736911773682,
    1.0878331661224365,
    1.0860958099365234,
    1.0842169523239136,
    1.0826303958892822,
    1.0806686878204346,
    1.078961730003357,
    1.0773676633834839,
    1.0755786895751953,
    1.073934555053711,
    1.0721861124038696,
    1.0704376697540283,
    1.0689181089401245,
    1.067183256149292,
    1.0654473304748535,
    1.0637754201889038,
    1.0620981454849243,
    1.0604465007781982,
    1.0587077140808105,
    1.0570865869522095,
    1.0553107261657715,
    1.053688883781433,
    1.0520380735397339,
    1.0502020120620728,
    1.048741340637207,
    1.046962022781372,
    1.0453627109527588,
    1.0439050197601318,
    1.041886806488037,
    1.0405514240264893,
    1.0387938022613525,
    1.0370451211929321,
    1.035706877708435,
    1.03403902053833,
    1.0325669050216675,
    1.0308712720870972,
    1.0291008949279785,
    1.0275760889053345,
    1.0258709192276,
    1.024153470993042,
    1.022807240486145,
    1.0211118459701538,
    1.019489049911499,
    1.0178107023239136,
    1.0159832239151,
    1.0143824815750122,
    1.0128840208053589,
    1.0111985206604004,
    1.0098742246627808,
    1.0081874132156372,
    1.0064918994903564,
    1.0050266981124878,
    1.0036821365356445,
    1.0018991231918335,
    1.0004172325134277,
    0.9988566637039185,
    0.9969817399978638,
    0.9954714179039001,
    0.9939242005348206,
    0.9923979640007019,
    0.9910774230957031,
    0.9894015789031982,
    0.9880895614624023,
    0.9861252903938293,
    0.9846389889717102,
    0.9831112027168274,
    0.9815076589584351,
    0.9799305200576782,
    0.9784950017929077,
    0.976923942565918,
    0.975475549697876,
    0.9737277626991272,
    0.9722781181335449,
    0.9707712531089783,
    0.9693742394447327,
    0.9677569270133972,
    0.9663806557655334,
    0.9648120999336243,
    0.963326096534729,
    0.9619874358177185,
    0.9605197906494141,
    0.9590029120445251,
    0.9575618505477905,
    0.9558634757995605,
    0.9542866945266724,
    0.9530059099197388,
    0.9513764977455139,
    0.9499674439430237,
    0.948621392250061,
    0.947046160697937,
    0.945502519607544,
    0.9441988468170166,
    0.9427464604377747,
    0.9413387179374695,
    0.9397821426391602,
    0.9385508894920349,
    0.9372508525848389,
    0.9356773495674133,
    0.9340954422950745,
    0.9325379133224487,
    0.9311357140541077,
    0.9296550154685974,
    0.9283716082572937,
    0.9268398880958557,
    0.9254037141799927,
    0.9239259362220764,
    0.9225856065750122,
    0.921108603477478,
    0.9197893142700195,
    0.9185012578964233,
    0.9169778823852539,
    0.9154301881790161,
    0.9140625,
    0.9127756357192993,
    0.9113842844963074,
    0.9101965427398682,
    0.9088224172592163,
    0.9074375629425049,
    0.9061430096626282,
    0.9046499133110046,
    0.9033547043800354,
    0.9018712639808655,
    0.9006990790367126,
    0.8993589878082275,
    0.8980291485786438,
    0.8965833187103271,
    0.8953617811203003,
    0.8940249681472778,
    0.8928234577178955,
    0.8914735913276672,
    0.8900470733642578,
    0.8885773420333862,
    0.887448251247406,
    0.8860753178596497,
    0.8848751783370972,
    0.8835704326629639,
    0.8822427988052368,
    0.8808343410491943,
    0.8794860243797302,
    0.8782272338867188,
    0.876940131187439,
    0.8755697011947632,
    0.8743593096733093,
    0.8731096982955933,
    0.8717764019966125,
    0.870373547077179,
    0.869137704372406,
    0.8679963946342468,
    0.8665465116500854,
    0.8653771281242371,
    0.8643192052841187,
    0.8630129098892212,
    0.8618021011352539,
    0.8606610894203186,
    0.8596193194389343,
    0.8584977984428406,
    0.8571111559867859,
    0.8558118343353271,
    0.854767382144928,
    0.8535858392715454,
    0.8525562882423401,
    0.851208508014679,
    0.8500548601150513,
    0.8489854335784912,
    0.8476380109786987,
    0.8465084433555603,
    0.8454263806343079,
    0.8440982699394226,
    0.8429536819458008,
    0.8419493436813354,
    0.8406177759170532,
    0.8395005464553833,
    0.83843994140625,
    0.8372390866279602,
    0.836262583732605,
    0.8351759910583496,
    0.8340833187103271,
    0.8330100178718567,
    0.8318305611610413,
    0.8307360410690308,
    0.8296796083450317,
    0.8287205696105957,
    0.8275678753852844,
    0.8264811038970947,
    0.8253570795059204,
    0.8243551254272461,
    0.8232539296150208,
    0.822137176990509,
    0.8212800025939941,
    0.8199703097343445,
    0.8190608024597168,
    0.8179953098297119,
    0.8167867064476013,
    0.8158150315284729,
    0.8149182200431824,
    0.8140754699707031,
    0.8131433129310608,
    0.8118599057197571,
    0.8109708428382874,
    0.8099024891853333,
    0.8090004324913025,
    0.8079776763916016,
    0.807029664516449,
    0.8058684468269348,
    0.8049055337905884,
    0.8039948344230652,
    0.803061306476593,
    0.8021382689476013,
    0.8012913465499878,
    0.8002091646194458,
    0.7992268204689026,
    0.7981467247009277,
    0.7973214983940125,
    0.7964017987251282,
    0.7954541444778442,
    0.7945792078971863,
    0.7938122153282166,
    0.7926003932952881,
    0.7917800545692444,
    0.7908596396446228,
    0.7899304628372192,
    0.7890149354934692,
    0.7882192730903625,
    0.7870058417320251,
    0.7863731980323792,
    0.7852027416229248,
    0.7844488024711609,
    0.783501386642456,
    0.7827003598213196,
    0.7819803357124329,
    0.7808201909065247,
    0.7800688147544861,
    0.7791293263435364,
    0.7784658670425415,
    0.7775732278823853,
    0.7768633961677551,
    0.7760342359542847,
    0.775243878364563,
    0.7743030786514282,
    0.7735926508903503,
    0.7724748849868774,
    0.7718163728713989,
    0.77097487449646,
    0.7702510356903076,
    0.7693900465965271,
    0.7687169313430786,
    0.7678922414779663,
    0.7672128081321716,
    0.7663589715957642,
    0.7657037377357483,
    0.7647771239280701,
    0.7640203237533569,
    0.7633466720581055,
    0.7625623941421509,
    0.7617509961128235,
    0.7610896229743958,
    0.760379433631897,
    0.7596492767333984,
    0.7588953971862793,
    0.7581916451454163,
    0.7573999166488647,
    0.7568274736404419,
    0.756077229976654,
    0.7554765939712524,
    0.7546539306640625,
    0.7539674043655396,
    0.753139853477478,
    0.7525543570518494,
    0.7519160509109497,
    0.7513154149055481,
    0.7505142688751221,
    0.7497125864028931,
    0.74923175573349,
    0.7484207153320312,
    0.7479155659675598,
    0.7473617792129517,
    0.7468436360359192,
    0.7462318539619446,
    0.7456430792808533,
    0.7447810769081116,
    0.7442206144332886,
    0.7435954809188843,
    0.7431489825248718,
    0.7422271370887756,
    0.7418114542961121,
    0.7412892580032349,
    0.740713357925415,
    0.7401546239852905,
    0.7396021485328674,
    0.7390599846839905,
    0.73844313621521,
    0.7377904653549194,
    0.737305223941803,
    0.7368288636207581,
    0.7363747358322144,
    0.7358483076095581,
    0.7354381680488586,
    0.7348212003707886,
    0.7343763709068298,
    0.7336553335189819,
    0.7332231402397156,
    0.73262619972229,
    0.7321929931640625,
    0.7315752506256104,
    0.7312256693840027,
    0.7306149005889893,
    0.7302426695823669,
    0.7299467325210571,
    0.7294563055038452,
    0.728706419467926,
    0.7283353209495544,
    0.7279900312423706,
    0.7276231646537781,
    0.7273217439651489,
    0.7269001007080078,
    0.7265130877494812,
    0.7261000871658325,
    0.7257733345031738,
    0.725188672542572,
    0.724976658821106,
    0.7242119908332825,
    0.7238465547561646,
    0.7236427664756775,
    0.7232236266136169,
    0.7227877974510193,
    0.7226144075393677,
    0.7221262454986572,
    0.7218216061592102,
    0.7215451002120972,
    0.7213869094848633,
    0.7209206819534302,
    0.7207257747650146,
    0.7203994989395142,
    0.7200448513031006,
    0.7197679281234741,
    0.7195186018943787,
    0.7190226912498474,
    0.7188836932182312,
    0.7186117768287659,
    0.7185105681419373,
    0.718199610710144,
    0.7180152535438538,
    0.7175536155700684,
    0.7173341512680054,
    0.7171205878257751,
    0.7168837189674377,
    0.7163654565811157,
    0.7162774801254272,
    0.7161651253700256,
    0.7160663604736328,
    0.7159175872802734,
    0.7157440185546875,
    0.7154026031494141,
    0.7153436541557312,
    0.715220034122467,
    0.7150475978851318,
    0.7150062322616577,
    0.7149052619934082,
    0.7147804498672485,
    0.7147180438041687,
    0.7146442532539368,
    0.7143230438232422,
    0.7142894268035889,
    0.7143252491950989,
    0.7141361236572266,
    0.7140751481056213,
    0.7138771414756775,
    0.7138750553131104,
    0.7138450145721436,
    0.7138748168945312,
    0.7137607336044312,
    0.7137340903282166,
    0.7137055993080139,
    0.7136792540550232,
    0.7135677337646484,
    0.7134214639663696,
    0.7135778069496155,
    0.7136402130126953,
    0.713737964630127,
    0.7136131525039673,
    0.7135958075523376,
    0.713367760181427,
    0.7136869430541992,
    0.7137601971626282,
    0.7137682437896729,
    0.7137079834938049,
    0.7138195633888245,
    0.713512122631073,
    0.7136629819869995,
    0.7137271761894226,
    0.7138593792915344,
    0.714098334312439,
    0.714293360710144,
    0.7142848372459412,
    0.7144456505775452,
    0.714730978012085,
    0.7147268652915955,
    0.7149925231933594,
    0.7151434421539307,
    0.7151704430580139,
    0.7152837514877319,
    0.7152866125106812,
    0.7155521512031555,
    0.7158286571502686,
    0.7161067724227905,
    0.7161760926246643,
    0.716302752494812,
    0.7165276408195496,
    0.716739296913147,
    0.7168811559677124,
    0.7171459794044495,
    0.7174181342124939,
    0.7176154255867004,
    0.7177509069442749,
    0.7180988192558289,
    0.718157172203064,
    0.7184935212135315,
    0.7185874581336975,
    0.7188709378242493,
    0.7191057801246643,
    0.7192631959915161,
    0.7195265293121338,
    0.7197085618972778,
    0.720137357711792,
    0.7203015089035034,
    0.7204228639602661,
    0.720592737197876,
    0.7209603786468506,
    0.7212156057357788,
    0.7214911580085754,
    0.72171950340271,
    0.7221818566322327,
    0.7225285768508911,
    0.7227242588996887,
    0.7229769825935364,
    0.7232232689857483,
    0.7235181927680969,
    0.7238690853118896,
    0.7240993976593018,
    0.7244613170623779,
    0.7245984673500061,
    0.7250016331672668,
    0.7251067161560059,
    0.7255734205245972,
    0.7258168458938599,
    0.7260231375694275,
    0.7262008786201477,
    0.7266826629638672,
    0.7266356945037842,
    0.7272213697433472,
    0.7274652719497681,
    0.7279736399650574,
    0.7281084656715393,
    0.7283049821853638,
    0.7285397052764893,
    0.7289696931838989,
    0.7293713688850403,
    0.72969651222229,
    0.7298030853271484,
    0.7300551533699036,
    0.7303762435913086,
    0.7306288480758667,
    0.7307636141777039,
    0.7312272787094116,
    0.7314295172691345,
    0.7316324710845947,
    0.7314282655715942,
    0.7316331267356873,
    0.7319273352622986,
    0.732114315032959,
    0.732216477394104,
    0.7322894930839539,
    0.7325413227081299,
    0.7325369715690613,
    0.7325401902198792,
    0.7323561906814575,
    0.7322503924369812,
    0.7322250008583069,
    0.7320146560668945,
    0.7321474552154541,
    0.732187032699585,
    0.7320796251296997,
    0.7315171360969543,
    0.7313243746757507,
    0.7310792803764343,
    0.7308080196380615,
    0.7306304574012756,
    0.7296295166015625,
    0.7289745807647705,
    0.7288649082183838,
    0.7281786799430847,
    0.7277448773384094,
    0.7272322177886963,
    0.7265949845314026,
    0.725848376750946,
    0.7252488136291504,
    0.7245422601699829,
    0.723800003528595,
    0.7228619456291199,
    0.7218728065490723,
    0.720892071723938,
    0.7198144793510437,
    0.7186352610588074,
    0.717454731464386,
    0.7162171602249146,
    0.7149246335029602,
    0.7136655449867249,
    0.7121627926826477,
    0.7108365297317505,
    0.7092090249061584,
    0.7076245546340942,
    0.7060236930847168,
    0.704273521900177,
    0.7023670673370361,
    0.7007937431335449,
    0.698858916759491,
    0.696875810623169,
    0.69483882188797,
    0.6926799416542053,
    0.6907360553741455,
    0.6884570121765137,
    0.68642657995224,
    0.6837813258171082,
    0.6816286444664001,
    0.6790634989738464,
    0.6767467260360718,
    0.6742716431617737,
    0.6715688705444336,
    0.6689924001693726,
    0.6662940382957458,
    0.6634176969528198,
    0.6603904962539673,
    0.6574862599372864,
    0.6544369459152222,
    0.651530385017395,
    0.6485568284988403,
    0.6453983187675476,
    0.6423068046569824,
    0.6392328143119812,
    0.6360040307044983,
    0.6325976252555847,
    0.6291093826293945,
    0.6256147623062134,
    0.6223041415214539,
    0.6188730001449585,
    0.615329921245575,
    0.6118036508560181,
    0.6081951260566711,
    0.604539155960083,
    0.6009404063224792,
    0.5972440242767334,
    0.5937116146087646,
    0.5897051692008972,
    0.5859677195549011,
    0.5821571946144104,
    0.578381359577179,
    0.5747998952865601,
    0.5709896683692932,
    0.5671953558921814,
    0.5633583068847656,
    0.5594204068183899,
    0.5555382370948792,
    0.5519280433654785,
    0.5482934713363647,
    0.544551432132721,
    0.5410515666007996,
    0.5374910831451416,
    0.5340041518211365,
    0.5304144024848938,
    0.5269584655761719,
    0.5235306620597839,
    0.520039975643158,
    0.516674280166626,
    0.513296902179718,
    0.5098193883895874,
    0.5064578652381897,
    0.5030517578125,
    0.4997297525405884,
    0.4967145025730133,
    0.49335765838623047,
    0.4902186989784241,
    0.486634224653244,
    0.48311659693717957,
    0.4792158007621765,
    0.4755136966705322,
    0.4720709025859833,
    0.4689248502254486,
    0.4660993814468384,
    0.46355342864990234,
    0.46058982610702515,
    0.45763304829597473,
    0.45535609126091003,
    0.45405313372612,
    0.45241352915763855,
    0.45207348465919495,
    0.45095735788345337,
    0.45052871108055115,
    0.449806272983551,
    0.4484655559062958,
    0.44648951292037964,
    0.44580715894699097,
    0.4447800815105438,
    0.4453802704811096,
    0.4472601115703583
]

# x0 (x-prediction) weights, extracted from the learned LossScaler table (scale_loss.ema) of
# /mnt/Data/train/out/ui/ostris_o1_te/ostris_o1_te_000007250.safetensors. weight(t) = ema(t=1) / ema(t),
# so full noise is 1.0 and low-noise timesteps are lifted to the same expected loss. Index 0 = timestep 1000.

x0_weighing_scheme = [
    0.999996542930603,
    0.999996542930603,
    0.999996542930603,
    0.999996542930603,
    0.999996542930603,
    0.999996542930603,
    1.0408618450164795,
    1.0852129459381104,
    1.1335078477859497,
    1.1863017082214355,
    1.2442535161972046,
    1.3081581592559814,
    1.3789881467819214,
    1.4579209089279175,
    1.5464385747909546,
    1.6463994979858398,
    1.660157561302185,
    1.674148440361023,
    1.6883759498596191,
    1.7028474807739258,
    1.71756911277771,
    1.732548713684082,
    1.7477906942367554,
    1.7633033990859985,
    1.7790939807891846,
    1.795169711112976,
    1.8406336307525635,
    1.8884564638137817,
    1.9388306140899658,
    1.9919657707214355,
    2.048095464706421,
    2.107480525970459,
    2.1704115867614746,
    2.237222194671631,
    2.3082709312438965,
    2.3839805126190186,
    2.41684889793396,
    2.450636148452759,
    2.485381603240967,
    2.5211265087127686,
    2.557917356491089,
    2.595795154571533,
    2.6348114013671875,
    2.675018548965454,
    2.716474771499634,
    2.759233236312866,
    2.803359031677246,
    2.848919153213501,
    2.895984649658203,
    2.9446351528167725,
    2.9949440956115723,
    3.047002077102661,
    3.1009018421173096,
    3.156742811203003,
    3.2146363258361816,
    3.274688482284546,
    3.3055639266967773,
    3.337026834487915,
    3.3690972328186035,
    3.401787042617798,
    3.4351179599761963,
    3.4691085815429688,
    3.5037779808044434,
    3.5391504764556885,
    3.575241804122925,
    3.6120765209198,
    3.6274654865264893,
    3.6429858207702637,
    3.6586408615112305,
    3.6744301319122314,
    3.6903557777404785,
    3.7064201831817627,
    3.7226264476776123,
    3.73897385597229,
    3.755465507507324,
    3.7721030712127686,
    3.7937123775482178,
    3.8155722618103027,
    3.83768367767334,
    3.8600525856018066,
    3.8826844692230225,
    3.905583143234253,
    3.928755283355713,
    3.9522018432617188,
    3.9759302139282227,
    3.9999451637268066,
    4.051612377166748,
    4.10462760925293,
    4.159049034118652,
    4.214932918548584,
    4.2723388671875,
    4.331329822540283,
    4.39197301864624,
    4.454343318939209,
    4.518506050109863,
    4.584543228149414,
    4.607580661773682,
    4.630850791931152,
    4.654356479644775,
    4.678102493286133,
    4.702093601226807,
    4.726330757141113,
    4.750818729400635,
    4.775561332702637,
    4.800563812255859,
    4.825830936431885,
    4.855315685272217,
    4.885163307189941,
    4.915380001068115,
    4.945974826812744,
    4.976950645446777,
    5.008316516876221,
    5.040081024169922,
    5.072250843048096,
    5.104836463928223,
    5.137840270996094,
    5.184770107269287,
    5.232564926147461,
    5.281248569488525,
    5.330851078033447,
    5.381390571594238,
    5.432897090911865,
    5.48539924621582,
    5.5389299392700195,
    5.59351110458374,
    5.649179458618164,
    5.738932132720947,
    5.831583023071289,
    5.927281856536865,
    6.026165962219238,
    6.128406047821045,
    6.234174728393555,
    6.343667030334473,
    6.457065105438232,
    6.574591159820557,
    6.696475505828857,
    6.704007625579834,
    6.711557388305664,
    6.719123840332031,
    6.7267069816589355,
    6.734307765960693,
    6.741925239562988,
    6.749560832977295,
    6.757213115692139,
    6.764883041381836,
    6.7725701332092285,
    6.791865825653076,
    6.811270713806152,
    6.830786228179932,
    6.850413799285889,
    6.870154857635498,
    6.890011787414551,
    6.909982204437256,
    6.930068492889404,
    6.9502716064453125,
    6.970593452453613,
    7.015721797943115,
    7.061439037322998,
    7.10775899887085,
    7.154687404632568,
    7.202239036560059,
    7.250426769256592,
    7.299264430999756,
    7.348764896392822,
    7.398940086364746,
    7.449809551239014,
    7.44050931930542,
    7.431232452392578,
    7.42197847366333,
    7.412746429443359,
    7.403538703918457,
    7.39435338973999,
    7.385190963745117,
    7.376051425933838,
    7.366933345794678,
    7.357839107513428,
    7.348766803741455,
    7.339716911315918,
    7.330689430236816,
    7.321683406829834,
    7.312699794769287,
    7.303738594055176,
    7.294799327850342,
    7.285881042480469,
    7.2769856452941895,
    7.268111228942871,
    7.421975612640381,
    7.582494735717773,
    7.750124454498291,
    7.925319194793701,
    8.108617782592773,
    8.300596237182617,
    8.501885414123535,
    8.713196754455566,
    8.935261726379395,
    9.16894245147705,
    9.183069229125977,
    9.19724178314209,
    9.211456298828125,
    9.225714683532715,
    9.24001693725586,
    9.254364013671875,
    9.268756866455078,
    9.283193588256836,
    9.297675132751465,
    9.312202453613281,
    9.261556625366211,
    9.211453437805176,
    9.161893844604492,
    9.112863540649414,
    9.064356803894043,
    9.016359329223633,
    8.9688720703125,
    8.921880722045898,
    8.875380516052246,
    8.829361915588379,
    8.888617515563965,
    8.9486722946167,
    9.009549140930176,
    9.071255683898926,
    9.133813858032227,
    9.197239875793457,
    9.261552810668945,
    9.32677173614502,
    9.392915725708008,
    9.460009574890137,
    9.452507972717285,
    9.445018768310547,
    9.437541007995605,
    9.430074691772461,
    9.422619819641113,
    9.415177345275879,
    9.407746315002441,
    9.400327682495117,
    9.392919540405273,
    9.385523796081543,
    9.430073738098145,
    9.475048065185547,
    9.520453453063965,
    9.566299438476562,
    9.61258602142334,
    9.659321784973145,
    9.706515312194824,
    9.754171371459961,
    9.802302360534668,
    9.850906372070312,
    9.904108047485352,
    9.957886695861816,
    10.012256622314453,
    10.067219734191895,
    10.122790336608887,
    10.178977012634277,
    10.235791206359863,
    10.29324722290039,
    10.351347923278809,
    10.410107612609863,
    10.423763275146484,
    10.437455177307129,
    10.451181411743164,
    10.464943885803223,
    10.478743553161621,
    10.492578506469727,
    10.506451606750488,
    10.520360946655273,
    10.534307479858398,
    10.548290252685547,
    10.623497009277344,
    10.699790000915527,
    10.777179718017578,
    10.855698585510254,
    10.935368537902832,
    11.016223907470703,
    11.09827709197998,
    11.181561470031738,
    11.266105651855469,
    11.351938247680664,
    11.46109390258789,
    11.572360038757324,
    11.685808181762695,
    11.80150318145752,
    11.919511795043945,
    12.03990364074707,
    12.162753105163574,
    12.288145065307617,
    12.416138648986816,
    12.54682731628418,
    12.553434371948242,
    12.56004810333252,
    12.566667556762695,
    12.573295593261719,
    12.579931259155273,
    12.586572647094727,
    12.593221664428711,
    12.59987735748291,
    12.60654067993164,
    12.61320972442627,
    12.61320972442627,
    12.61320972442627,
    12.61320972442627,
    12.61320972442627,
    12.61320972442627,
    12.61320972442627,
    12.61320972442627,
    12.61320972442627,
    12.61320972442627,
    12.61320972442627,
    12.768586158752441,
    12.927837371826172,
    13.091123580932617,
    13.258575439453125,
    13.430365562438965,
    13.606666564941406,
    13.787657737731934,
    13.973543167114258,
    14.164495468139648,
    14.360736846923828,
    14.28330135345459,
    14.206698417663574,
    14.130906105041504,
    14.055924415588379,
    13.981732368469238,
    13.908320426940918,
    13.835670471191406,
    13.76378059387207,
    13.692633628845215,
    13.62221908569336,
    13.708380699157715,
    13.795645713806152,
    13.88402271270752,
    13.973539352416992,
    14.064216613769531,
    14.156078338623047,
    14.24915599822998,
    14.343459129333496,
    14.439019203186035,
    14.535859107971191,
    14.62503719329834,
    14.715309143066406,
    14.806702613830566,
    14.899238586425781,
    14.992938041687012,
    15.087823867797852,
    15.183917999267578,
    15.281251907348633,
    15.379833221435547,
    15.479696273803711,
    15.520005226135254,
    15.560523986816406,
    15.601255416870117,
    15.64220142364502,
    15.683364868164062,
    15.724742889404297,
    15.766340255737305,
    15.808157920837402,
    15.850197792053223,
    15.892465591430664,
    15.966971397399902,
    16.04218101501465,
    16.11810302734375,
    16.194753646850586,
    16.272127151489258,
    16.350244522094727,
    16.42911720275879,
    16.508758544921875,
    16.58917236328125,
    16.670373916625977,
    16.864953994750977,
    17.064132690429688,
    17.268070220947266,
    17.476959228515625,
    17.690946578979492,
    17.91023826599121,
    18.13503646850586,
    18.365564346313477,
    18.602014541625977,
    18.844629287719727,
    18.660255432128906,
    18.479450225830078,
    18.302106857299805,
    18.128143310546875,
    17.957460403442383,
    17.789958953857422,
    17.62554168701172,
    17.464149475097656,
    17.305683135986328,
    17.150068283081055,
    17.318254470825195,
    17.489778518676758,
    17.664735794067383,
    17.843219757080078,
    18.025348663330078,
    18.211233139038086,
    18.400999069213867,
    18.59475326538086,
    18.792631149291992,
    18.994775772094727,
    18.957014083862305,
    18.919404983520508,
    18.881942749023438,
    18.84463119506836,
    18.807464599609375,
    18.77044105529785,
    18.73356819152832,
    18.69683837890625,
    18.66025161743164,
    18.623809814453125,
    18.565792083740234,
    18.50813865661621,
    18.450841903686523,
    18.39389991760254,
    18.337303161621094,
    18.28105926513672,
    18.225156784057617,
    18.169597625732422,
    18.1143741607666,
    18.059494018554688,
    18.309146881103516,
    18.565793991088867,
    18.829742431640625,
    19.101314544677734,
    19.380823135375977,
    19.66863250732422,
    19.965131759643555,
    20.270694732666016,
    20.58576774597168,
    20.910778045654297,
    20.975168228149414,
    21.039958953857422,
    21.10515022277832,
    21.170751571655273,
    21.236757278442383,
    21.30317497253418,
    21.370010375976562,
    21.437271118164062,
    21.504953384399414,
    21.573060989379883,
    21.651430130004883,
    21.730371475219727,
    21.809894561767578,
    21.889997482299805,
    21.970691680908203,
    22.05198097229004,
    22.133874893188477,
    22.216386795043945,
    22.29950714111328,
    22.383255004882812,
    22.44647979736328,
    22.510066986083984,
    22.574007034301758,
    22.638315200805664,
    22.70298957824707,
    22.768035888671875,
    22.83345603942871,
    22.899253845214844,
    22.965431213378906,
    23.031993865966797,
    23.043123245239258,
    23.05426788330078,
    23.06541633605957,
    23.076581954956055,
    23.08775520324707,
    23.098941802978516,
    23.110136032104492,
    23.1213436126709,
    23.13256072998047,
    23.143789291381836,
    23.32494354248047,
    23.508949279785156,
    23.695880889892578,
    23.88581085205078,
    24.07882308959961,
    24.274965286254883,
    24.474328994750977,
    24.67699432373047,
    24.883045196533203,
    25.092586517333984,
    25.42711639404297,
    25.770694732666016,
    26.123676300048828,
    26.486469268798828,
    26.8594913482666,
    27.24317169189453,
    27.637958526611328,
    28.044349670410156,
    28.462894439697266,
    28.894100189208984,
    28.824230194091797,
    28.75469970703125,
    28.68549919128418,
    28.61663246154785,
    28.548097610473633,
    28.479888916015625,
    28.412006378173828,
    28.34444808959961,
    28.277202606201172,
    28.210281372070312,
    28.193603515625,
    28.17694091796875,
    28.160297393798828,
    28.1436767578125,
    28.127073287963867,
    28.110490798950195,
    28.093929290771484,
    28.077383041381836,
    28.060861587524414,
    28.044355392456055,
    28.143680572509766,
    28.243703842163086,
    28.34444236755371,
    28.445907592773438,
    28.548097610473633,
    28.651025772094727,
    28.75469970703125,
    28.8591251373291,
    28.964311599731445,
    29.070266723632812,
    29.05255126953125,
    29.034860610961914,
    29.01719093322754,
    28.999544143676758,
    28.981914520263672,
    28.96430778503418,
    28.946725845336914,
    28.929161071777344,
    28.91162109375,
    28.894100189208984,
    28.894100189208984,
    28.894100189208984,
    28.894100189208984,
    28.894100189208984,
    28.894100189208984,
    28.894100189208984,
    28.894100189208984,
    28.894100189208984,
    28.894100189208984,
    28.894100189208984,
    29.21276092529297,
    29.53851318359375,
    29.871618270874023,
    30.212329864501953,
    30.56089210510254,
    30.917606353759766,
    31.282726287841797,
    31.656593322753906,
    32.039485931396484,
    32.431758880615234,
    32.3876953125,
    32.34375762939453,
    32.29993438720703,
    32.2562370300293,
    32.212650299072266,
    32.16918182373047,
    32.12583541870117,
    32.08259963989258,
    32.039485931396484,
    31.99648094177246,
    31.953598022460938,
    31.91082191467285,
    31.868167877197266,
    31.82562255859375,
    31.783193588256836,
    31.74087905883789,
    31.698671340942383,
    31.656583786010742,
    31.61459732055664,
    31.57273292541504,
    31.719764709472656,
    31.868167877197266,
    32.01796340942383,
    32.169185638427734,
    32.32183074951172,
    32.4759407043457,
    32.63152313232422,
    32.788604736328125,
    32.94720458984375,
    33.10734176635742,
    33.22269058227539,
    33.338836669921875,
    33.45580291748047,
    33.57358932495117,
    33.69221115112305,
    33.81167221069336,
    33.93198013305664,
    34.053157806396484,
    34.175193786621094,
    34.29811477661133,
    34.5716667175293,
    34.84962844848633,
    35.132083892822266,
    35.419158935546875,
    35.71097183227539,
    36.00762176513672,
    36.30925750732422,
    36.615970611572266,
    36.92792892456055,
    37.24523162841797,
    37.34733963012695,
    37.45001220703125,
    37.553245544433594,
    37.65705871582031,
    37.761436462402344,
    37.86640167236328,
    37.97195053100586,
    38.07808303833008,
    38.18482208251953,
    38.292152404785156,
    38.32292938232422,
    38.353755950927734,
    38.3846321105957,
    38.415557861328125,
    38.446533203125,
    38.477561950683594,
    38.508636474609375,
    38.539764404296875,
    38.57093811035156,
    38.602169036865234,
    39.12480926513672,
    39.66182327270508,
    40.21375274658203,
    40.78126907348633,
    41.365055084228516,
    41.96577072143555,
    42.5842170715332,
    43.22113800048828,
    43.87742614746094,
    44.55392837524414,
    44.45008850097656,
    44.34672927856445,
    44.24385452270508,
    44.14145278930664,
    44.03952407836914,
    43.93806838989258,
    43.837074279785156,
    43.73654556274414,
    43.636474609375,
    43.536865234375,
    43.576656341552734,
    43.616519927978516,
    43.656455993652344,
    43.696468353271484,
    43.73654556274414,
    43.77669906616211,
    43.816932678222656,
    43.857234954833984,
    43.897613525390625,
    43.93806838989258,
    44.45008087158203,
    44.974185943603516,
    45.510780334472656,
    46.06032943725586,
    46.62333679199219,
    47.200260162353516,
    47.79165267944336,
    48.398040771484375,
    49.02002716064453,
    49.6581916809082,
    49.298789978027344,
    48.94453430175781,
    48.59535598754883,
    48.25110626220703,
    47.91170883178711,
    47.57704544067383,
    47.247032165527344,
    46.921573638916016,
    46.600547790527344,
    46.28390121459961,
    46.78346252441406,
    47.293907165527344,
    47.81563186645508,
    48.34897232055664,
    48.89434814453125,
    49.45216751098633,
    50.02288818359375,
    50.606903076171875,
    51.20472717285156,
    51.81686019897461,
    52.09995651245117,
    52.386165618896484,
    52.6755485534668,
    52.9681282043457,
    53.26399612426758,
    53.56317138671875,
    53.86573791503906,
    54.17173385620117,
    54.48122024536133,
    54.794281005859375,
    55.04732131958008,
    55.30271911621094,
    55.56048583984375,
    55.8206787109375,
    56.083309173583984,
    56.34843444824219,
    56.616065979003906,
    56.886253356933594,
    57.15904235839844,
    57.4344482421875,
    57.46906280517578,
    57.503719329833984,
    57.53841018676758,
    57.573150634765625,
    57.607933044433594,
    57.642757415771484,
    57.67761993408203,
    57.712528228759766,
    57.747474670410156,
    57.782466888427734,
    57.712528228759766,
    57.642757415771484,
    57.573150634765625,
    57.503719329833984,
    57.4344482421875,
    57.36534118652344,
    57.296409606933594,
    57.22764587402344,
    57.159034729003906,
    57.09059524536133,
    57.92284393310547,
    58.77975082397461,
    59.662353515625,
    60.571903228759766,
    61.509578704833984,
    62.476741790771484,
    63.47484588623047,
    64.50531768798828,
    65.56983947753906,
    66.6700439453125,
    66.5304946899414,
    66.39153289794922,
    66.25315856933594,
    66.1153564453125,
    65.97811889648438,
    65.84146118164062,
    65.70536041259766,
    65.56981658935547,
    65.43484497070312,
    65.30043029785156,
    66.1612319946289,
    67.0450210571289,
    67.9527816772461,
    68.88542938232422,
    69.84403991699219,
    70.82971954345703,
    71.84361267089844,
    72.88693237304688,
    73.96102905273438,
    75.06724548339844,
    74.71436309814453,
    74.36477661132812,
    74.01844024658203,
    73.6753158569336,
    73.33536529541016,
    72.99852752685547,
    72.66478729248047,
    72.33406829833984,
    72.00635528564453,
    71.68159484863281,
    72.0335464477539,
    72.38897705078125,
    72.74793243408203,
    73.1104736328125,
    73.47663116455078,
    73.84648132324219,
    74.2200698852539,
    74.59745788574219,
    74.97870635986328,
    75.36387634277344,
    75.54298400878906,
    75.72294616699219,
    75.90376281738281,
    76.08544921875,
    76.26800537109375,
    76.45144653320312,
    76.63575744628906,
    76.82097625732422,
    77.007080078125,
    77.194091796875,
    78.20701599121094,
    79.24689483642578,
    80.31480407714844,
    81.4118881225586,
    82.53935241699219,
    83.698486328125,
    84.89064025878906,
    86.11724853515625,
    87.37979888916016,
    88.67994689941406,
    88.8865966796875,
    89.09420776367188,
    89.30279541015625,
    89.51236724853516,
    89.72291564941406,
    89.93446350097656,
    90.14701080322266,
    90.36054992675781,
    90.57512664794922,
    90.79071044921875,
    91.09426879882812,
    91.39985656738281,
    91.70750427246094,
    92.01722717285156,
    92.32904815673828,
    92.64299774169922,
    92.95907592773438,
    93.27733612060547,
    93.59777069091797,
    93.92041778564453,
    94.71331024169922,
    95.51972961425781,
    96.3399887084961,
    97.17446899414062,
    98.02352905273438,
    98.88755798339844,
    99.76695251464844,
    100.66209411621094,
    101.57347869873047,
    102.50151824951172,
    103.3345718383789,
    104.18126678466797,
    105.04197692871094,
    105.91700744628906,
    106.80672454833984,
    107.71153259277344,
    108.63179016113281,
    109.56792449951172,
    110.52033233642578,
    111.48943328857422,
    111.61993408203125,
    111.75074768066406,
    111.88184356689453,
    112.01326751708984,
    112.14500427246094,
    112.27705383300781,
    112.4094009399414,
    112.54206085205078,
    112.675048828125,
    112.8083267211914,
    112.87509155273438,
    112.94193267822266,
    113.00885772705078,
    113.07585144042969,
    113.14293670654297,
    113.2101058959961,
    113.27733612060547,
    113.34466552734375,
    113.41205596923828,
    113.47953796386719,
    115.0540771484375,
    116.67292785644531,
    118.33795928955078,
    120.05122375488281,
    121.81478118896484,
    123.63097381591797,
    125.50214385986328,
    127.43080139160156,
    129.41969299316406,
    131.47161865234375,
    132.29237365722656,
    133.12342834472656,
    133.96499633789062,
    134.81729125976562,
    135.68048095703125,
    136.55479431152344,
    137.4404754638672,
    138.3376922607422,
    139.2467041015625,
    140.16773986816406,
    141.7301788330078,
    143.32786560058594,
    144.96197509765625,
    146.63377380371094,
    148.34457397460938,
    150.0957794189453,
    151.88880920410156,
    153.72518920898438,
    155.60653686523438,
    157.53451538085938,
    159.0452880859375,
    160.58529663085938,
    162.15545654296875,
    163.756591796875,
    165.38967895507812,
    167.0556640625,
    168.7555694580078,
    170.4904022216797,
    172.26129150390625,
    174.0693359375,
    175.10816955566406,
    176.15948486328125,
    177.22348022460938,
    178.3004150390625,
    179.39053344726562,
    180.49404907226562,
    181.61122131347656,
    182.74232482910156,
    183.88760375976562,
    185.04730224609375,
    188.70921325683594,
    192.51901245117188,
    196.48580932617188,
    200.61947631835938,
    204.9308624267578,
    209.43161010742188,
    214.13446044921875,
    219.0533447265625,
    224.20358276367188,
    229.60183715820312,
    230.156005859375,
    230.7128143310547,
    231.2723846435547,
    231.8346405029297,
    232.39962768554688,
    232.96737670898438,
    233.53790283203125,
    234.11126708984375,
    234.6874237060547,
    235.2664337158203,
    240.98902893066406,
    246.99696350097656,
    253.3120574951172,
    259.95855712890625,
    266.9632873535156,
    274.35589599609375,
    282.169677734375,
    290.4415588378906,
    299.21307373046875,
    308.53082275390625,
    312.3201904296875,
    316.2037658691406,
    320.1851501464844,
    324.26806640625,
    328.4564514160156,
    332.75445556640625,
    337.16644287109375,
    341.69696044921875,
    346.3509216308594,
    351.1334228515625,
    357.55169677734375,
    364.208984375,
    371.1189270019531,
    378.29608154296875,
    385.7563171386719,
    393.5167236328125,
    401.5958251953125,
    410.0135498046875,
    418.79168701171875,
    427.9540100097656,
    433.7943420410156,
    439.7962646484375,
    445.9665832519531,
    452.3125305175781,
    458.8416748046875,
    465.5620422363281,
    472.48223876953125,
    479.611328125,
    486.9587097167969,
    494.5347900390625,
    509.7347412109375,
    525.8987426757812,
    543.1214599609375,
    561.5103149414062,
    581.1881103515625,
    602.295166015625,
    624.9931030273438,
    649.4688110351562,
    675.9396362304688,
    704.6599731445312,
    727.5075073242188,
    751.8863525390625,
    777.9556274414062,
    805.897705078125,
    835.921630859375,
    868.2693481445312,
    903.2210693359375,
    941.1051025390625,
    982.3059692382812,
    1027.27978515625,
    1074.2950439453125,
    1125.8203125,
    1182.5369873046875,
    1245.271484375,
    1315.0350341796875,
    1393.0792236328125,
    1480.97119140625,
    1580.70068359375,
    1694.83154296875,
    1826.7261962890625,
    1931.9705810546875,
    2050.083251953125,
    2183.578857421875,
    2335.67041015625,
    2510.535400390625,
    2713.702880859375,
    2952.648193359375,
    3237.73583984375,
    3583.759033203125,
    4012.59326171875,
    4012.59326171875,
    4012.59326171875,
    4012.59326171875,
    4012.59326171875
]