# 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, 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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, 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