diff --git a/plonky2_verifier/arithmetic_gate_test.go b/plonky2_verifier/arithmetic_gate_test.go deleted file mode 100644 index 061a992..0000000 --- a/plonky2_verifier/arithmetic_gate_test.go +++ /dev/null @@ -1,54 +0,0 @@ -package plonky2_verifier - -import ( - "errors" - "fmt" - . "gnark-plonky2-verifier/field" - "testing" - - "github.com/consensys/gnark/frontend" - "github.com/consensys/gnark/test" -) - -type TestArithmeticGateCircuit struct{} - -func (circuit *TestArithmeticGateCircuit) Define(api frontend.API) error { - commonCircuitData := DeserializeCommonCircuitData("./data/step/common_circuit_data.json") - numSelectors := len(commonCircuitData.SelectorsInfo.groups) - - fieldAPI := NewFieldAPI(api) - qeAPI := NewQuadraticExtensionAPI(fieldAPI, commonCircuitData.DegreeBits) - plonkChip := NewPlonkChip(api, qeAPI, commonCircuitData) - - arithmeticGate := ArithmeticGate{numOps: 20} - vars := EvaluationVars{localConstants: localConstants[numSelectors:], localWires: localWires, publicInputsHash: publicInputsHash} - - constraints := arithmeticGate.EvalUnfiltered(plonkChip, vars) - - if len(constraints) != len(arithmeticGateExpectedConstraints) { - return errors.New("arithmetic gate constraints length mismatch") - } - - for i := 0; i < len(constraints); i++ { - fmt.Printf("constraints[%d] = %v\n", i, constraints[i]) - } - - for i := 0; i < len(constraints); i++ { - qeAPI.AssertIsEqual(constraints[i], arithmeticGateExpectedConstraints[i]) - } - - return nil -} - -func TestArithmeticGate(t *testing.T) { - assert := test.NewAssert(t) - - testCase := func() { - circuit := TestArithmeticGateCircuit{} - witness := TestArithmeticGateCircuit{} - err := test.IsSolved(&circuit, &witness, TEST_CURVE.ScalarField()) - assert.NoError(err) - } - - testCase() -} diff --git a/plonky2_verifier/base_sum_gate_test.go b/plonky2_verifier/base_sum_gate_test.go deleted file mode 100644 index a67deab..0000000 --- a/plonky2_verifier/base_sum_gate_test.go +++ /dev/null @@ -1,49 +0,0 @@ -package plonky2_verifier - -import ( - "errors" - . "gnark-plonky2-verifier/field" - "testing" - - "github.com/consensys/gnark/frontend" - "github.com/consensys/gnark/test" -) - -type TestBaseSumGateCircuit struct{} - -func (circuit *TestBaseSumGateCircuit) Define(api frontend.API) error { - commonCircuitData := DeserializeCommonCircuitData("./data/step/common_circuit_data.json") - numSelectors := len(commonCircuitData.SelectorsInfo.groups) - - fieldAPI := NewFieldAPI(api) - qeAPI := NewQuadraticExtensionAPI(fieldAPI, commonCircuitData.DegreeBits) - plonkChip := NewPlonkChip(api, qeAPI, commonCircuitData) - - baseSumGate := BaseSumGate{numLimbs: 32, base: 2} - vars := EvaluationVars{localConstants: localConstants[numSelectors:], localWires: localWires, publicInputsHash: publicInputsHash} - - constraints := baseSumGate.EvalUnfiltered(plonkChip, vars) - - if len(constraints) != len(baseSumGateExpectedConstraints) { - return errors.New("constant gate constraints length mismatch") - } - - for i := 0; i < len(constraints); i++ { - qeAPI.AssertIsEqual(constraints[i], baseSumGateExpectedConstraints[i]) - } - - return nil -} - -func TestBaseSumGate(t *testing.T) { - assert := test.NewAssert(t) - - testCase := func() { - circuit := TestBaseSumGateCircuit{} - witness := TestBaseSumGateCircuit{} - err := test.IsSolved(&circuit, &witness, TEST_CURVE.ScalarField()) - assert.NoError(err) - } - - testCase() -} diff --git a/plonky2_verifier/constant_gate_test.go b/plonky2_verifier/constant_gate_test.go deleted file mode 100644 index 1705207..0000000 --- a/plonky2_verifier/constant_gate_test.go +++ /dev/null @@ -1,49 +0,0 @@ -package plonky2_verifier - -import ( - "errors" - . "gnark-plonky2-verifier/field" - "testing" - - "github.com/consensys/gnark/frontend" - "github.com/consensys/gnark/test" -) - -type TestConstantGateCircuit struct{} - -func (circuit *TestConstantGateCircuit) Define(api frontend.API) error { - commonCircuitData := DeserializeCommonCircuitData("./data/step/common_circuit_data.json") - numSelectors := len(commonCircuitData.SelectorsInfo.groups) - - fieldAPI := NewFieldAPI(api) - qeAPI := NewQuadraticExtensionAPI(fieldAPI, commonCircuitData.DegreeBits) - plonkChip := NewPlonkChip(api, qeAPI, commonCircuitData) - - constantGate := ConstantGate{numConsts: 2} - vars := EvaluationVars{localConstants: localConstants[numSelectors:], localWires: localWires, publicInputsHash: publicInputsHash} - - constraints := constantGate.EvalUnfiltered(plonkChip, vars) - - if len(constraints) != len(constantGateExpectedConstraints) { - return errors.New("constant gate constraints length mismatch") - } - - for i := 0; i < len(constraints); i++ { - qeAPI.AssertIsEqual(constraints[i], constantGateExpectedConstraints[i]) - } - - return nil -} - -func TestConstantGate(t *testing.T) { - assert := test.NewAssert(t) - - testCase := func() { - circuit := TestConstantGateCircuit{} - witness := TestConstantGateCircuit{} - err := test.IsSolved(&circuit, &witness, TEST_CURVE.ScalarField()) - assert.NoError(err) - } - - testCase() -} diff --git a/plonky2_verifier/data/recursive_step/common_circuit_data.json b/plonky2_verifier/data/recursive_step/common_circuit_data.json new file mode 100644 index 0000000..9dd8d51 --- /dev/null +++ b/plonky2_verifier/data/recursive_step/common_circuit_data.json @@ -0,0 +1,175 @@ +{ + "config": { + "num_wires": 136, + "num_routed_wires": 80, + "num_constants": 2, + "use_base_arithmetic_gate": true, + "security_bits": 100, + "num_challenges": 2, + "zero_knowledge": false, + "max_quotient_degree_factor": 8, + "fri_config": { + "rate_bits": 3, + "cap_height": 4, + "proof_of_work_bits": 16, + "reduction_strategy": { + "ConstantArityBits": [ + 4, + 5 + ] + }, + "num_query_rounds": 28 + } + }, + "fri_params": { + "config": { + "rate_bits": 3, + "cap_height": 4, + "proof_of_work_bits": 16, + "reduction_strategy": { + "ConstantArityBits": [ + 4, + 5 + ] + }, + "num_query_rounds": 28 + }, + "hiding": false, + "degree_bits": 13, + "reduction_arity_bits": [ + 4, + 4 + ] + }, + "gates": [ + "NoopGate", + "PublicInputGate", + "BaseSumGate { num_limbs: 63 } + Base: 2", + "ReducingExtensionGate { num_coeffs: 33 }", + "ReducingGate { num_coeffs: 44 }", + "ArithmeticExtensionGate { num_ops: 10 }", + "ArithmeticGate { num_ops: 20 }", + "MulExtensionGate { num_ops: 13 }", + "ExponentiationGate { num_power_bits: 67, _phantom: PhantomData }", + "RandomAccessGate { bits: 4, num_copies: 4, num_extra_constants: 2, _phantom: PhantomData }", + "CosetInterpolationGate { subgroup_bits: 4, degree: 6, barycentric_weights: [17293822565076172801, 18374686475376656385, 18446744069413535745, 281474976645120, 17592186044416, 18446744069414584577, 18446744000695107601, 18446744065119617025, 1152921504338411520, 72057594037927936, 18446744069415632897, 18446462594437939201, 18446726477228539905, 18446744069414584065, 68719476720, 4294967296], _phantom: PhantomData }", + "PoseidonGate(PhantomData)" + ], + "selectors_info": { + "selector_indices": [ + 0, + 0, + 0, + 0, + 0, + 0, + 1, + 1, + 1, + 1, + 2, + 2 + ], + "groups": [ + { + "start": 0, + "end": 6 + }, + { + "start": 6, + "end": 10 + }, + { + "start": 10, + "end": 12 + } + ] + }, + "quotient_degree_factor": 8, + "num_gate_constraints": 123, + "num_constants": 5, + "num_public_inputs": 0, + "k_is": [ + 1, + 7, + 49, + 343, + 2401, + 16807, + 117649, + 823543, + 5764801, + 40353607, + 282475249, + 1977326743, + 13841287201, + 96889010407, + 678223072849, + 4747561509943, + 33232930569601, + 232630513987207, + 1628413597910449, + 11398895185373143, + 79792266297612001, + 558545864083284007, + 3909821048582988049, + 8922003270666332022, + 7113790686420571191, + 12903046666114829695, + 16534350385145470581, + 5059988279530788141, + 16973173887300932666, + 8131752794619022736, + 1582037354089406189, + 11074261478625843323, + 3732854072722565977, + 7683234439643377518, + 16889152938674473984, + 7543606154233811962, + 15911754940807515092, + 701820169165099718, + 4912741184155698026, + 15942444219675301861, + 916645121239607101, + 6416515848677249707, + 8022122801911579307, + 814627405137302186, + 5702391835961115302, + 3023254712898638472, + 2716038920875884983, + 565528376716610560, + 3958698637016273920, + 9264146389699333119, + 9508792519651578870, + 11221315429317299127, + 4762231727562756605, + 14888878023524711914, + 11988425817600061793, + 10132004445542095267, + 15583798910550913906, + 16852872026783475737, + 7289639770996824233, + 14133990258148600989, + 6704211459967285318, + 10035992080941828584, + 14911712358349047125, + 12148266161370408270, + 11250886851934520606, + 4969231685883306958, + 16337877731768564385, + 3684679705892444769, + 7346013871832529062, + 14528608963998534792, + 9466542400916821939, + 10925564598174000610, + 2691975909559666986, + 397087297503084581, + 2779611082521592067, + 1010533508236560148, + 7073734557655921036, + 12622653764762278610, + 14571600075677612986, + 9767480182670369297 + ], + "num_partial_products": 9 +} diff --git a/plonky2_verifier/data/recursive_step/proof_with_public_inputs.json b/plonky2_verifier/data/recursive_step/proof_with_public_inputs.json new file mode 100644 index 0000000..c453aec --- /dev/null +++ b/plonky2_verifier/data/recursive_step/proof_with_public_inputs.json @@ -0,0 +1,27634 @@ +{ + "proof": { + "wires_cap": [ + { + "elements": [ + 9178363815727713796, + 3456038485759103778, + 7306525841015939364, + 5940405491140619280 + ] + }, + { + "elements": [ + 8860398952946176623, + 9167595584324822445, + 11008462614763942765, + 6087090864423289880 + ] + }, + { + "elements": [ + 15298955105291148340, + 12611824507635999378, + 15983705236267068968, + 17384500695476044605 + ] + }, + { + "elements": [ + 4328619822897599617, + 5902913634118231570, + 7756049449677530203, + 18249474521499622409 + ] + }, + { + "elements": [ + 1829821570442655197, + 10652466460186883694, + 14949076957869252491, + 6582890118519209143 + ] + }, + { + "elements": [ + 2320177819069378799, + 3762719192654593431, + 15319917473078908832, + 15242133966260899798 + ] + }, + { + "elements": [ + 7778950490059274034, + 10191585856329097500, + 16879465295016690543, + 6939286161822474213 + ] + }, + { + "elements": [ + 3396251176233418834, + 3492610942910024362, + 16520696567947335287, + 1194746864584473651 + ] + }, + { + "elements": [ + 7824340415981661837, + 6674717594653231143, + 10285698190905577389, + 944437894237656526 + ] + }, + { + "elements": [ + 5311170810124155239, + 1548520976141182225, + 13616633696235701876, + 4069159546919868961 + ] + }, + { + "elements": [ + 15162786060266329067, + 16407444147829419196, + 17324869365624874262, + 4405519327189857707 + ] + }, + { + "elements": [ + 461200375853099962, + 6946174439412943659, + 12424435035957285585, + 15714224793487601870 + ] + }, + { + "elements": [ + 9890549333999650481, + 12409364188018308023, + 6743432289591627027, + 15844613998195526367 + ] + }, + { + "elements": [ + 2119274204404286419, + 13137210522634933853, + 7044932769945801796, + 3094041896616758096 + ] + }, + { + "elements": [ + 5603734589865225827, + 12416826747388449300, + 15258212896140728775, + 11794745487695468599 + ] + }, + { + "elements": [ + 15296174305226417476, + 1459063492238621576, + 13660217081040853905, + 4955814895473129050 + ] + } + ], + "plonk_zs_partial_products_cap": [ + { + "elements": [ + 5185611773839900931, + 15195633130574191537, + 2943939665590233263, + 8704659258184760065 + ] + }, + { + "elements": [ + 6803833951895080903, + 3258988271194309549, + 4827959417323928557, + 10082326717939518496 + ] + }, + { + "elements": [ + 8179981329790250321, + 13380141250399705271, + 14562172074953617858, + 162251045566193970 + ] + }, + { + "elements": [ + 1358079358484108575, + 10776647026409325832, + 14099733835512541225, + 644750831290982463 + ] + }, + { + "elements": [ + 11352328820577286645, + 16112248827460271236, + 4506521529169990659, + 4354232461125219131 + ] + }, + { + "elements": [ + 17709475228071854205, + 14266843725682187788, + 13174969864870155915, + 6118561530790002011 + ] + }, + { + "elements": [ + 7495296391508972620, + 321615361080767266, + 4634300210169431023, + 12435909516869887827 + ] + }, + { + "elements": [ + 7306754313280712209, + 15018439499818128617, + 3331087309589703788, + 11953139966388744482 + ] + }, + { + "elements": [ + 18038129954023847042, + 17467131467552891969, + 2195805922605282082, + 6519822370128563841 + ] + }, + { + "elements": [ + 7246147367300760008, + 12807074440492099928, + 3825924017639217876, + 14867642527651370817 + ] + }, + { + "elements": [ + 11746021968777511242, + 15136580680437618519, + 15543992114941189596, + 2469768457689882454 + ] + }, + { + "elements": [ + 7923181236304914923, + 11305026255107943716, + 16553583246940405746, + 8649928486623842422 + ] + }, + { + "elements": [ + 3415998443182702903, + 5346497019447172609, + 14613131027685125658, + 3694519362364629516 + ] + }, + { + "elements": [ + 12646724939787773395, + 10310354007583763819, + 14943571250425068967, + 6773872695733390794 + ] + }, + { + "elements": [ + 5618468988965870475, + 5758040940161977254, + 7007648742127255358, + 514472720050538414 + ] + }, + { + "elements": [ + 10316562601188244423, + 10293712577159453806, + 14739370158175593411, + 15098613023189572113 + ] + } + ], + "quotient_polys_cap": [ + { + "elements": [ + 6512067469388132875, + 7192475577747455268, + 12014799268378841767, + 16046512023635648976 + ] + }, + { + "elements": [ + 4149191066742009607, + 10388163423782239939, + 11439683693635534959, + 15165496115135094310 + ] + }, + { + "elements": [ + 2726482447822422456, + 349082049002521481, + 3289668663719641279, + 14437116667804311291 + ] + }, + { + "elements": [ + 13430605865990133972, + 8762773520358502707, + 913788907614350045, + 15620300293573598586 + ] + }, + { + "elements": [ + 7283371632977831659, + 7743900054879329930, + 1814044267320517410, + 13968323892962605621 + ] + }, + { + "elements": [ + 9680380369501141864, + 726756512507331426, + 9697266674693605049, + 8469922374956741726 + ] + }, + { + "elements": [ + 6619476852664850966, + 6151572072679978042, + 12629397434219319238, + 15513953062821127327 + ] + }, + { + "elements": [ + 3824007918774465923, + 12213432216619250962, + 8226597442587579414, + 9872924179593663348 + ] + }, + { + "elements": [ + 3359336476431395369, + 12753570876008343580, + 13101739935690067787, + 4550551606521947681 + ] + }, + { + "elements": [ + 13991504449042837265, + 5487873047508270866, + 7127257341327096135, + 16168997330763321793 + ] + }, + { + "elements": [ + 7360603610477291668, + 3169826741585626357, + 13934697279041883737, + 11258720525598772860 + ] + }, + { + "elements": [ + 11995053574802549959, + 17254377823051343480, + 17836657217328101561, + 4842905690554426499 + ] + }, + { + "elements": [ + 17387772017641516403, + 15106369963449872917, + 15882127279166487648, + 5943327998662499537 + ] + }, + { + "elements": [ + 938316712691241750, + 4084061484199697026, + 18063374629461979402, + 10966955670102470096 + ] + }, + { + "elements": [ + 13188854428823424041, + 5802913892900459006, + 18190020887441309752, + 11484942269577254718 + ] + }, + { + "elements": [ + 10337435554277702202, + 5180962875974034453, + 17532815158414891977, + 3688033102763950958 + ] + } + ], + "openings": { + "constants": [ + [ + 1164933405384298079, + 7438400583921661370 + ], + [ + 13151230530771189075, + 13023721207846057894 + ], + [ + 3881971040049882570, + 16581297326342691797 + ], + [ + 5184944824742294361, + 4925002013441838394 + ], + [ + 13156856690013129271, + 11795766134230417198 + ] + ], + "plonk_sigmas": [ + [ + 18098313352891435598, + 4595415911832830313 + ], + [ + 4328713689415565283, + 11572913958498703894 + ], + [ + 17635806305442709722, + 13259262830652866766 + ], + [ + 11678650715703111070, + 16213330730762172848 + ], + [ + 15087493918930959830, + 14364520086420750376 + ], + [ + 4866861616810610947, + 12442790866438502025 + ], + [ + 2190519343242341864, + 12168975703730077798 + ], + [ + 15442163047320925166, + 8537834116505015605 + ], + [ + 11195306853068796112, + 16212569146185574555 + ], + [ + 13165128149703765897, + 17582473282449981182 + ], + [ + 12198665293970500197, + 10121860554591830385 + ], + [ + 3108351203671967052, + 12424484058602160971 + ], + [ + 18215707224460034591, + 12371194999410135726 + ], + [ + 6835496141988349050, + 17180028174992422158 + ], + [ + 257791330118257776, + 11669924009861521505 + ], + [ + 3214653672243752324, + 12376127049476821490 + ], + [ + 14584018231961393973, + 5592877076843527452 + ], + [ + 5651377723347476893, + 15923198219414578112 + ], + [ + 8697969372027478180, + 16428218386800270805 + ], + [ + 15624825447267357204, + 15856238286793312373 + ], + [ + 1978236809850568552, + 4597261190465430698 + ], + [ + 1694742486444745156, + 11253658655710216991 + ], + [ + 6339273351765639029, + 9235632805240078749 + ], + [ + 13378079926442896961, + 17404306262118634841 + ], + [ + 17965015383502441942, + 8185382021538786185 + ], + [ + 3077595391714574864, + 14405221899478169181 + ], + [ + 9054603098094589718, + 933049826571923779 + ], + [ + 9344731819214598727, + 18221913310326548652 + ], + [ + 16053961599677457480, + 6790352576189921663 + ], + [ + 2085113073823745356, + 8652420815876999337 + ], + [ + 8295866786780995679, + 1380396191419219494 + ], + [ + 12067488962005023023, + 16439026412615672924 + ], + [ + 17989680922758848238, + 17723317989913991287 + ], + [ + 10007663698457106663, + 10893006395544838269 + ], + [ + 17400170059616816054, + 11912807767045683759 + ], + [ + 13550906634609787602, + 5680399516722790148 + ], + [ + 12249594286887667880, + 6406222380169952103 + ], + [ + 11647619131726295389, + 5829992798086047695 + ], + [ + 7393866202386328383, + 1916720541240349939 + ], + [ + 13770826129293689198, + 3111913959437013142 + ], + [ + 10641448868360064034, + 5795439342352999105 + ], + [ + 2207133972011633930, + 3868405920689424219 + ], + [ + 3768874021015567595, + 7333357457508353301 + ], + [ + 6234440194390817295, + 1728113799500416634 + ], + [ + 468000503073661593, + 6983945001749768620 + ], + [ + 1459732994283665644, + 9270587222825626987 + ], + [ + 969236120302930082, + 13233735888465288222 + ], + [ + 13793087041046662607, + 16076530035083410459 + ], + [ + 9237193260950452432, + 11465739202855979004 + ], + [ + 4226328790556021814, + 15877030789088408834 + ], + [ + 6861800496035537205, + 15649864392807602282 + ], + [ + 15261187657335355611, + 4968629475732537978 + ], + [ + 15619163120815762317, + 11973121715351594220 + ], + [ + 2694841692304397165, + 13891141795752788513 + ], + [ + 15228334227386731714, + 3419889087683423041 + ], + [ + 15888468961724612330, + 16581967016285881080 + ], + [ + 7966002875439532296, + 14957331162454546155 + ], + [ + 8169459674556172782, + 9738647573657285970 + ], + [ + 793596949506554005, + 7856039950533728993 + ], + [ + 1389882691304980319, + 9361723751844206256 + ], + [ + 6642802276859650631, + 14748000144052191037 + ], + [ + 12436841275054841562, + 605687910783129131 + ], + [ + 1171940870873901983, + 16557252325688532299 + ], + [ + 1313371507157998175, + 4230508715512295895 + ], + [ + 9447895602969166540, + 15105373676157704548 + ], + [ + 4667469580048429640, + 14187236335929658328 + ], + [ + 5610455320285804800, + 6002323512963924873 + ], + [ + 1182753602658150820, + 5163037777543231751 + ], + [ + 1899828948205725787, + 16313702545060216423 + ], + [ + 4798248093064737853, + 909933245154742597 + ], + [ + 5205579337345762996, + 16654697951236185464 + ], + [ + 17111140872729025293, + 18208371646951046574 + ], + [ + 1157055132377432908, + 12686185183977992137 + ], + [ + 3944815907928269483, + 4626231049325274116 + ], + [ + 13351341051684321003, + 12050323928527414702 + ], + [ + 16273791774886802069, + 9800336636690403031 + ], + [ + 3594810246825767459, + 15679869669511868967 + ], + [ + 18008797131300570259, + 5951786698152750408 + ], + [ + 3119552763733511623, + 3826729427412997449 + ], + [ + 16303977862826895568, + 17737403098874524347 + ] + ], + "wires": [ + [ + 10289971018233574142, + 4567684908222573778 + ], + [ + 11564178579868812087, + 4510091545046358953 + ], + [ + 2427374067806073277, + 6911441533263492425 + ], + [ + 7693977127287585254, + 9885192257977663560 + ], + [ + 4829743769894031521, + 1070322096310857911 + ], + [ + 841614584488095356, + 3266720090708573245 + ], + [ + 9335841732020668562, + 7959135654284183511 + ], + [ + 16824107175117300959, + 14823581113270528881 + ], + [ + 4989727169526686805, + 6246956987038299573 + ], + [ + 17410065909497815114, + 226319705525892670 + ], + [ + 4568933895769710275, + 6430695446169305195 + ], + [ + 8067075753959020505, + 6018662820882606998 + ], + [ + 9927277077277524164, + 12530942893897967446 + ], + [ + 404931240594605346, + 13956134990453188947 + ], + [ + 12279755093013597997, + 13891866662848929655 + ], + [ + 3995291408937855383, + 7649506537726031013 + ], + [ + 1975344541433284175, + 11787783246524974192 + ], + [ + 9352725388265956899, + 1878641993746760905 + ], + [ + 4386025806925594020, + 7199468962263347888 + ], + [ + 457758515510439949, + 8295940174808817473 + ], + [ + 3721711968672629644, + 13268744315779792869 + ], + [ + 14873968601320376905, + 14469960382794471278 + ], + [ + 16643239035786323413, + 14266572255541493756 + ], + [ + 9756649839930289884, + 14084246204123262540 + ], + [ + 805087434192149117, + 5551650411462295908 + ], + [ + 3121050229008788536, + 315617444959225213 + ], + [ + 18164560008695666572, + 6915918288299894752 + ], + [ + 17656666988744688487, + 9787463123892858839 + ], + [ + 9992120570629943241, + 18182369503102252267 + ], + [ + 15220763248754170044, + 1854765527825350374 + ], + [ + 15616805521198580886, + 8948185005335797211 + ], + [ + 5104021995850318050, + 10884053699840350390 + ], + [ + 14387430073456386871, + 3987323970221931246 + ], + [ + 9295222033249226038, + 14533816739722288989 + ], + [ + 3054662272834320691, + 5799349468053737645 + ], + [ + 15410493100888282738, + 9030544573372043855 + ], + [ + 11448080360124361095, + 13429854637967689056 + ], + [ + 4779070979822400436, + 5404234368643419051 + ], + [ + 11659320767511898018, + 13702970547443564662 + ], + [ + 16340059712300851313, + 20171293486753699 + ], + [ + 1475826372470535678, + 1253469117109386509 + ], + [ + 7562163184139742598, + 14347739950500988111 + ], + [ + 15976520527988523610, + 17889280665602982933 + ], + [ + 8598539842276402160, + 2411306720494404310 + ], + [ + 15713704960139943242, + 16396602336341678687 + ], + [ + 7189190822731370344, + 5963822095937242833 + ], + [ + 5977752474999875040, + 5328103649776423975 + ], + [ + 12531991299101111394, + 3159886804356965397 + ], + [ + 16883082502877021850, + 4442238822519720348 + ], + [ + 4348679245531311390, + 6663472094175428592 + ], + [ + 7628612474113215133, + 9324555027165483004 + ], + [ + 1900695998785588032, + 12588745891116448183 + ], + [ + 2202928383842031597, + 2024867731300461655 + ], + [ + 9288136643086730543, + 4131544415785473139 + ], + [ + 14704106408467038509, + 8573856691828273 + ], + [ + 10154176515490297025, + 9220235036944332858 + ], + [ + 11339644645342271702, + 2591119884720569491 + ], + [ + 12952838693708363443, + 7634778748701478612 + ], + [ + 4151157005304656172, + 16778323503511515227 + ], + [ + 6326750425597671757, + 2556963653256638700 + ], + [ + 10167058989235599247, + 8755493046703376087 + ], + [ + 9610925836484089978, + 15994816336634155710 + ], + [ + 4153283843312210367, + 14936117891656525941 + ], + [ + 2708678512120193106, + 13963185898630435716 + ], + [ + 6555777227864205496, + 796547906377203466 + ], + [ + 9137905566620576524, + 5424975077133394401 + ], + [ + 10344710254569827655, + 5782463375043965385 + ], + [ + 5971898539021849982, + 8119512366912747083 + ], + [ + 10858355567899666102, + 18000616751093068478 + ], + [ + 16920330711313364238, + 8697067496869918100 + ], + [ + 7000103501288736536, + 10889037926963847627 + ], + [ + 2293930382336564785, + 1991911172589808532 + ], + [ + 16325792322333215740, + 10408910622457883954 + ], + [ + 7503118294246863546, + 3698311130768729720 + ], + [ + 8086040183115185263, + 5047183760990874466 + ], + [ + 9862182807054696027, + 1177341139111149965 + ], + [ + 16001172854107018622, + 10666261425617835543 + ], + [ + 5580184714347609844, + 12694115766192868759 + ], + [ + 18281558831138544975, + 3361626347282823513 + ], + [ + 3031997905089686532, + 15324883672435732043 + ], + [ + 450952121891526527, + 3760645720813651878 + ], + [ + 12802993704800176346, + 5762382859373230998 + ], + [ + 3276893202573968613, + 1800240087286854287 + ], + [ + 5921423446901282771, + 1701259673949139858 + ], + [ + 9599792256793291230, + 14953029539933413769 + ], + [ + 6924230983683680937, + 11341266871925411757 + ], + [ + 7369845262101528427, + 14511942995651504957 + ], + [ + 3575537879709813183, + 8500642062708926725 + ], + [ + 4175897998808440429, + 3374384071922541929 + ], + [ + 12757283027846003446, + 17905830097386863938 + ], + [ + 6320876143845688240, + 11931531275984972701 + ], + [ + 18217933064159243751, + 10071176713368801471 + ], + [ + 4777714881679002884, + 11864655235286620829 + ], + [ + 5051586433049660820, + 9706334979530647226 + ], + [ + 10142518025690185130, + 11625111857426302867 + ], + [ + 12942439955200094763, + 12974281474830386034 + ], + [ + 12714064210006754841, + 10541770037347437502 + ], + [ + 10048643184275048639, + 3986690477062097502 + ], + [ + 1705165528883143091, + 15274852618321664478 + ], + [ + 7505339430009963451, + 15833594687115464439 + ], + [ + 14969085142351848679, + 1313378114647584372 + ], + [ + 13860248504174697653, + 11813005399232850289 + ], + [ + 251943684565772115, + 7573719044708266257 + ], + [ + 3106490314923518751, + 6708785325259176544 + ], + [ + 16356137633407478618, + 10204772059332988569 + ], + [ + 6854820980459043959, + 15547517301904265885 + ], + [ + 11272546272005349344, + 13048057766361438654 + ], + [ + 1292326010164513793, + 3884499312974286465 + ], + [ + 13766861546348177296, + 16189793227494584882 + ], + [ + 17409073821234659314, + 9981103842753464857 + ], + [ + 9704863891305672730, + 6734589298170331622 + ], + [ + 12730115352516859625, + 7184752625986384624 + ], + [ + 11668345947294231238, + 16115042113565080691 + ], + [ + 14062084624592649794, + 2756332865729973692 + ], + [ + 3748768277402965633, + 16866814743891506413 + ], + [ + 10432481590948249422, + 16082227217718892532 + ], + [ + 491495918184990934, + 6356796615401236136 + ], + [ + 17901902629808882123, + 13514738065473981771 + ], + [ + 12660442011781098101, + 6869178288883388452 + ], + [ + 4393627135520874514, + 18356603129965580261 + ], + [ + 677707009508889751, + 12680875774839515608 + ], + [ + 10378933644525583340, + 13309450528739048419 + ], + [ + 17340442394158194152, + 2264038306172498436 + ], + [ + 3370239755875426470, + 16608802578078035004 + ], + [ + 10934853199725686361, + 16013313141655891901 + ], + [ + 13594205540632772459, + 2004743885124905326 + ], + [ + 2746704624744404227, + 16776409524391586509 + ], + [ + 3958873682280414366, + 1600073271711289868 + ], + [ + 2428249869256780385, + 4540186883415041033 + ], + [ + 11471613891518396403, + 12378090703999608437 + ], + [ + 2473054093631985558, + 6016173170699559864 + ], + [ + 5753078745189531749, + 7917608537613216175 + ], + [ + 8855440271433298214, + 16093723431433530090 + ], + [ + 18386320557740714138, + 8240697133069742104 + ], + [ + 15199992048380262587, + 2301519535136472331 + ], + [ + 5102771513133979026, + 12570336536575987923 + ] + ], + "plonk_zs": [ + [ + 13161469500496565239, + 867164758784827336 + ], + [ + 3632587876875085065, + 13135853039413214371 + ] + ], + "plonk_zs_next": [ + [ + 14193478068945911374, + 6619126253887728616 + ], + [ + 812150668312587917, + 13081066799983179144 + ] + ], + "partial_products": [ + [ + 5091914001536759041, + 6792083490602018164 + ], + [ + 4988824241130816336, + 4363275288892255875 + ], + [ + 10439110212952548657, + 3553431586011870658 + ], + [ + 12004901440528705509, + 11888362550314833210 + ], + [ + 12068786220100752857, + 633467136083836082 + ], + [ + 11811588999132134892, + 6717301885550001153 + ], + [ + 8908503517873797102, + 1664025970408960324 + ], + [ + 3302968453584405326, + 13821339569127135889 + ], + [ + 13544580606065895923, + 4262488623148550948 + ], + [ + 1661964391535020141, + 1350655881117681489 + ], + [ + 11999295444552736266, + 11451705859114814558 + ], + [ + 7533131889772391268, + 16995890270703083789 + ], + [ + 7192398343695542531, + 8745983922448916731 + ], + [ + 13079101505664023243, + 16890723984311025817 + ], + [ + 16465694007250548690, + 3817625445617375515 + ], + [ + 8948999296749442312, + 3283226160732647144 + ], + [ + 4254921315933310769, + 519034425446903715 + ], + [ + 16288879386073242687, + 15900028168465451579 + ] + ], + "quotient_polys": [ + [ + 6093811796361411129, + 6346435429721989835 + ], + [ + 16637827787160665529, + 8523349176113135916 + ], + [ + 11232117518327383072, + 1046205595843591798 + ], + [ + 17207584112372208293, + 15995384160510559882 + ], + [ + 3326890187898359778, + 6518215102189406391 + ], + [ + 9834948939624003270, + 8370665798745412657 + ], + [ + 5481531414949247517, + 16960831762571748803 + ], + [ + 17038677195944828410, + 5574526205765614884 + ], + [ + 95264111620704832, + 6893529760739609894 + ], + [ + 8163350353179476373, + 13319111265226905044 + ], + [ + 7198921940607233075, + 13502053063290781777 + ], + [ + 14569740379172184470, + 15379962166592968110 + ], + [ + 15349486045565827674, + 3143962599432237460 + ], + [ + 16520562507877038374, + 9999462503390386150 + ], + [ + 11481973656913913563, + 10129222646577200274 + ], + [ + 12955633357053138217, + 2124617399037447040 + ] + ] + }, + "opening_proof": { + "commit_phase_merkle_caps": [ + [ + { + "elements": [ + 9358807773192680377, + 3858303910901432046, + 14675300577447460567, + 1578891993142417333 + ] + }, + { + "elements": [ + 3705834147662326295, + 17336889665894733573, + 6565257210299797676, + 17910855655570123999 + ] + }, + { + "elements": [ + 18194712869997249245, + 431884799114684644, + 471220358533142842, + 4998910007471792887 + ] + }, + { + "elements": [ + 15192485621572182730, + 17219347285449930725, + 15377155414929328646, + 7515974745520494229 + ] + }, + { + "elements": [ + 14866566005169639678, + 1243053419583937053, + 5749609563828982334, + 15550649853608765393 + ] + }, + { + "elements": [ + 13509769285025987604, + 8042910294866319476, + 14876133632252355133, + 17999112778441185152 + ] + }, + { + "elements": [ + 11152293384367736872, + 14188657436859697093, + 9373380717632145074, + 12007464953343169116 + ] + }, + { + "elements": [ + 7583545686664521722, + 4567556680860579163, + 12054732322419029169, + 15246357347568058973 + ] + }, + { + "elements": [ + 1970438022451184741, + 3460582501540709115, + 1178590435041807299, + 7271605588734542066 + ] + }, + { + "elements": [ + 12002242032303370050, + 17178250881332027645, + 9485226307127294683, + 6323266110162456665 + ] + }, + { + "elements": [ + 18295268084528324307, + 10121313851774893478, + 18118767719833723207, + 12213777058969768005 + ] + }, + { + "elements": [ + 11325645390465498760, + 7792444442408725630, + 6281800106441488071, + 8557678316565437524 + ] + }, + { + "elements": [ + 12627168391241646543, + 17216967659691551994, + 6308252850676045653, + 13558275762215645389 + ] + }, + { + "elements": [ + 13889635644165500997, + 12908634855973857227, + 9288908734137940817, + 2701197492074077002 + ] + }, + { + "elements": [ + 7494735710463179325, + 944684429473380394, + 15272368092311335980, + 12669653075078201779 + ] + }, + { + "elements": [ + 10618620430775343529, + 15278024712339791555, + 6227725591038952661, + 8980628116617217126 + ] + } + ], + [ + { + "elements": [ + 9650824574566162808, + 9470126686131466412, + 7290020727112051338, + 16206080476350158653 + ] + }, + { + "elements": [ + 7766327984092105033, + 8013415103197216865, + 14891740843600870737, + 15518712400038361110 + ] + }, + { + "elements": [ + 15910358286563163385, + 13078857934776390058, + 9648668711309910806, + 1567492341394815546 + ] + }, + { + "elements": [ + 17556040838048309735, + 16514427026670701417, + 7151946236638666860, + 8688053961923623807 + ] + }, + { + "elements": [ + 2039304624906717985, + 5484325795289200083, + 11077032341469561283, + 16246443752521937218 + ] + }, + { + "elements": [ + 9337331353691943668, + 8498895273766312914, + 5648764692543453057, + 1753950277814777877 + ] + }, + { + "elements": [ + 17253804569591411440, + 4370576781344660830, + 11237771007475443209, + 2827888452168470381 + ] + }, + { + "elements": [ + 3940873175332659622, + 13985570166617107458, + 16249679681165857588, + 5167849929734688263 + ] + }, + { + "elements": [ + 8163905749330229981, + 771987865729913236, + 7015077060645222827, + 14899200860334382806 + ] + }, + { + "elements": [ + 9116115841534206946, + 17209716295703248881, + 6495256082663761846, + 16522048280932936033 + ] + }, + { + "elements": [ + 3105311979402294011, + 1560253715913949370, + 15358008396662244731, + 11890806118611331990 + ] + }, + { + "elements": [ + 16129677217356632656, + 10390754444532921954, + 8399373574664485900, + 15037168976394832442 + ] + }, + { + "elements": [ + 11608140096134450757, + 5652558078304451032, + 13032206868561909552, + 5483866370725013810 + ] + }, + { + "elements": [ + 155222848164398896, + 4960706026247726697, + 5793212973777233152, + 6627843999538307261 + ] + }, + { + "elements": [ + 1246740057239027449, + 3759826535103357776, + 14372856111842030448, + 12893423414786509406 + ] + }, + { + "elements": [ + 13135462232175017646, + 14684705440971168117, + 10444243246807444398, + 16171286972110455208 + ] + } + ] + ], + "query_round_proofs": [ + { + "initial_trees_proof": { + "evals_proofs": [ + [ + [ + 7620748130114669954, + 18028795000993407660, + 4559982773742949381, + 5854845144377285927, + 4754588614909357179, + 17086470824220334604, + 5691918212843778482, + 6356305000075732254, + 9233652457504791901, + 15306264859126620330, + 14991838912290593259, + 4574619552126728907, + 2876410510730080554, + 1358123100177171483, + 15570289225007205442, + 14213469872197836796, + 5986949157734579856, + 2164477371605560900, + 10064087943889427478, + 11520431315170166287, + 1308628946939154419, + 8886205112500115161, + 7584493647251732457, + 6100242076900622069, + 15189896101850273614, + 1924423913814982348, + 3045326968029414245, + 7828116895383260826, + 4282984445253461487, + 17308272430553170079, + 14868107345971346246, + 14141608567084583438, + 11044963357801334247, + 4890453281228228631, + 3956186694730180823, + 4843965795928726892, + 8625426537684525391, + 8618750866708928666, + 2842941024495853782, + 4186866878100960105, + 1618582056826785225, + 413975348281204679, + 12318516169139180148, + 11043372405935714544, + 18382168461072741337, + 10908929256029509443, + 2120308792660091951, + 15352521240572510021, + 4026529119579603973, + 18223929629228764690, + 5398042854363153077, + 6712265283519587654, + 17317640299442926861, + 17558841501954504583, + 2801708535992093317, + 2839628147882743470, + 12349992176937766767, + 16706199604071079403, + 13252357288041035428, + 5649466708644012752, + 23527874349164421, + 6263324433345619489, + 4912159439342097206, + 16158685922635984482, + 11438080217742892706, + 7831463937839621782, + 4735402719723634021, + 6016649694648877281, + 14590520412095831909, + 8091430217387619404, + 16964615564669981568, + 6076028760475419611, + 12086644072541768508, + 882667412632130401, + 9056710684268867800, + 5708483465391586547, + 11756999896742395773, + 7576880903331886011, + 15688870406267472337, + 11200022867119802868, + 5091201385250869557, + 14273506223379551655, + 11519456865458618015, + 1036996885324607208, + 10454344050297765679 + ], + { + "siblings": [ + { + "elements": [ + 17125079607631162659, + 17153320340022505351, + 527001880352785255, + 2561902153528727075 + ] + }, + { + "elements": [ + 10188535942432329969, + 14509730239707762512, + 2322436358775838442, + 11410432042978497117 + ] + }, + { + "elements": [ + 12127426525938334353, + 1663781714576468150, + 3700160688512708028, + 3444342547170346904 + ] + }, + { + "elements": [ + 10326167732720214980, + 9173498674913503249, + 9685290524730238533, + 14605913750514090874 + ] + }, + { + "elements": [ + 6646834170048524927, + 5775331163563020667, + 13775758701181446658, + 5420650991074647859 + ] + }, + { + "elements": [ + 16503493683205281166, + 4328420572696828110, + 6025044987175387673, + 14840050497973742957 + ] + }, + { + "elements": [ + 11091616202395311964, + 17733673389665570503, + 14646396929367331404, + 14876126215032635502 + ] + }, + { + "elements": [ + 3773474443468346199, + 1207041875584310384, + 12145662624800892674, + 6754703463250917509 + ] + }, + { + "elements": [ + 6279553998621320632, + 14703621811730548139, + 10182723806895617726, + 1211515626975270291 + ] + }, + { + "elements": [ + 6045080902888699404, + 641366581840279296, + 14855545281963489243, + 5582847632507230981 + ] + }, + { + "elements": [ + 7284874553372674494, + 9316197034524833839, + 9088617723000892961, + 7812202845834693893 + ] + }, + { + "elements": [ + 7149408847722932775, + 10441923486607315837, + 14119041023369932806, + 8264357693174096049 + ] + } + ] + } + ], + [ + [ + 5378338726977559805, + 6817168617529693837, + 4825069563469740766, + 11524980421945072595, + 3115269302303654466, + 1012345625067000747, + 5798498442392311701, + 181631709164848701, + 11404713459963472585, + 13096435980157737522, + 12083523249506892583, + 12521726632033327574, + 9457566888838144893, + 2538734493227789392, + 1981404880385689270, + 8260213523329287165, + 1653490505577358653, + 1962862322718086746, + 2908267818851461906, + 12200281543472685881, + 10584279242145331198, + 17714279236103647851, + 17656189411295320893, + 15312452218576708001, + 6287913351463645540, + 9121451200564085613, + 952394905103639759, + 2980422771872124414, + 7100228981866214665, + 1354759026431045494, + 7899364449141077089, + 2487007372773854391, + 5254515777662452170, + 2495859232881499422, + 102492779761756207, + 10366087961498681087, + 13316696827595349340, + 8430184541637944972, + 9420659437851345520, + 12879266956185467988, + 7269089012451948376, + 8017204749780037185, + 10071832830219864626, + 1105990520005984555, + 13900478467566647876, + 15748625646403907831, + 9685870501642686584, + 18236288616486004584, + 8957705209671605204, + 6929827389502147845, + 1631467691438212305, + 1829490105778741997, + 4612112001412608744, + 7520449541720170629, + 4898458477796401623, + 5662840853032700424, + 17576260596871146495, + 15649400170610049682, + 12338200272680434128, + 556217747622701243, + 10486022173603551506, + 18114441185512262952, + 7246223278313895540, + 14198504279630588514, + 3032134175954888256, + 12532187926868089447, + 4974338553848990639, + 8168318517385439649, + 13050929629295532537, + 2288432999959707739, + 12723308506357590683, + 7470324085903963478, + 10662165358627987203, + 14903593527218891067, + 10824980736721768234, + 3264381233641342164, + 14616320031617175769, + 8180968903159554630, + 15399325381019437538, + 13325857833715960633, + 12625876876717135604, + 7184828571913537232, + 2798558144950699399, + 14187630466037072478, + 4215208655804838866, + 12298017106303164180, + 4573583974623571009, + 897980919988711796, + 11165239702934204265, + 9507925772962291838, + 8673487230335877945, + 1535872370630370298, + 16747449007264654341, + 14823575927903634007, + 5407320797364194986, + 2279424987399372149, + 3276043044467179483, + 17893951240508453694, + 4786194074516698412, + 515467963908740096, + 9775387589010952725, + 4401760786640164318, + 14854839683425804359, + 3648920806937509794, + 6902393603519368167, + 16602863750072128856, + 8330902003368364625, + 8666330119040282485, + 12773670020262031817, + 14300218853958895008, + 14901170342704745506, + 15997061845915292186, + 8088708134539146933, + 10623012596966920908, + 10579030299923928738, + 18226093231180993665, + 5239933103394623731, + 9207405446030485270, + 4927435615030271097, + 14993310166391906947, + 6987256538928021533, + 14867247072603472474, + 18445224589604933331, + 7883126578002153042, + 13328048507276973204, + 17650141139249064418, + 11638222903431650702, + 7409886166184293266, + 13720544958980521539, + 11741625637185537121, + 1474652570421435827, + 453938374650441445, + 6402372679833673719, + 14988493577098159028, + 12866360968172224896, + 10779156440472370970 + ], + { + "siblings": [ + { + "elements": [ + 1078047858903308490, + 2206723165162985185, + 13396193522969025703, + 10472323835279847241 + ] + }, + { + "elements": [ + 4079249007953432499, + 221734223218114192, + 11620005262764877777, + 17385491157453436772 + ] + }, + { + "elements": [ + 11719112963351091365, + 17298992042827671605, + 18194863604479993300, + 1954110540245464588 + ] + }, + { + "elements": [ + 2738770690653167766, + 9653339150337300933, + 293829642955277058, + 4770781255624575330 + ] + }, + { + "elements": [ + 794410550399521318, + 15451878505608466687, + 8587502340548634668, + 9378270836128530233 + ] + }, + { + "elements": [ + 13540224691276160790, + 3411892601634019401, + 16054470624244129697, + 13401921596884666860 + ] + }, + { + "elements": [ + 2439775700610229921, + 17688004032737071830, + 7723932516192551089, + 14414485040311915148 + ] + }, + { + "elements": [ + 7607916213147693061, + 4154446513914415560, + 9484359273055727144, + 3492564195738065615 + ] + }, + { + "elements": [ + 15147469917019663768, + 17055625000726219350, + 1812655065204312256, + 6362001072610298625 + ] + }, + { + "elements": [ + 6396661391988732203, + 17534096080820907030, + 12432782279422132926, + 3679909954123983684 + ] + }, + { + "elements": [ + 11880414373250934956, + 10779830938104211523, + 10072594821253419709, + 14364824008050989777 + ] + }, + { + "elements": [ + 5334638550516404267, + 163215194369528102, + 8022098787184396525, + 441518950163739799 + ] + } + ] + } + ], + [ + [ + 7128435307734379625, + 9967839041875983904, + 4831567052327960436, + 3177713721127873352, + 9344130844200167940, + 9289119481981315665, + 10986915692857020459, + 17955632642206222416, + 182250490508559884, + 13764242691954713211, + 3876879746386810987, + 3516801665664200713, + 3946243376540747584, + 16837304982153763250, + 1818770068425507781, + 14416947690508748432, + 9690858291393427218, + 16875166658453068796, + 15566382354507771876, + 6837432194934111225 + ], + { + "siblings": [ + { + "elements": [ + 8633002795933414469, + 11004796527883026969, + 2565997620468876571, + 4794439547922026602 + ] + }, + { + "elements": [ + 7456584185807523838, + 18224566118530205531, + 3113549876279375201, + 1760668956529971216 + ] + }, + { + "elements": [ + 8971737465394619555, + 14475357969978860602, + 7968984593335728102, + 6821543762527557053 + ] + }, + { + "elements": [ + 15807536311037647456, + 15028035485194752626, + 5117187913761578931, + 5611749152090629464 + ] + }, + { + "elements": [ + 3303866974762039567, + 15992897630844641951, + 12660435906712659204, + 7643589939622259889 + ] + }, + { + "elements": [ + 10595469097462293530, + 3049438262726476247, + 13997659898862101250, + 13015250203297676481 + ] + }, + { + "elements": [ + 10886468296986049442, + 3440789688763516550, + 6925764356167722098, + 18266456454129833528 + ] + }, + { + "elements": [ + 16266752143622795184, + 14464812991987130617, + 5192359154909761566, + 4995090009673520411 + ] + }, + { + "elements": [ + 1197334563095086917, + 8971614251139778232, + 8702918308841353138, + 8345561893578228528 + ] + }, + { + "elements": [ + 10313964769104605053, + 7532045814403533392, + 7894683222104710090, + 2032859934899863175 + ] + }, + { + "elements": [ + 7474727865626891838, + 14337303602335341845, + 15414703648476685872, + 12891862689082798435 + ] + }, + { + "elements": [ + 15062546824536624079, + 16601999484726731381, + 4588150196710111504, + 8955656718810895512 + ] + } + ] + } + ], + [ + [ + 4300594150121021385, + 11296001153655296569, + 5988075355752112834, + 4722629232540452050, + 10343715732160214292, + 15791702280960589633, + 7741886468534785739, + 3651591719920206571, + 13908543611449633494, + 14020150042831948229, + 16570969687903453918, + 17586760902474545667, + 3978747727616066135, + 3534011151287640862, + 11828023178913360371, + 6058003935303269626 + ], + { + "siblings": [ + { + "elements": [ + 13770109596669196921, + 8055219609246238024, + 1205874527667325046, + 15104629553675969807 + ] + }, + { + "elements": [ + 15348185076949672630, + 1375203486043245136, + 2928785039406904091, + 12890807794064190599 + ] + }, + { + "elements": [ + 9456965531021831621, + 5732459435674954272, + 14557977824851392045, + 1933951163294269144 + ] + }, + { + "elements": [ + 11302851041861641922, + 16980145027990581425, + 14343455105443688010, + 7567280110453012247 + ] + }, + { + "elements": [ + 3063624926553649990, + 11375639821860963018, + 7679525915753910936, + 17537346910545298711 + ] + }, + { + "elements": [ + 3106401058252046982, + 583167624074313310, + 12964828001262069079, + 2344805175324757720 + ] + }, + { + "elements": [ + 360747762642374235, + 8272714752236672144, + 11971448913364050850, + 2552453556665188586 + ] + }, + { + "elements": [ + 16579857500270171589, + 3231371903021186657, + 4983377551325156823, + 16317195573639084205 + ] + }, + { + "elements": [ + 9010845728563230597, + 4712350090332379108, + 13480395323994178476, + 6649897655179731102 + ] + }, + { + "elements": [ + 503890843839744246, + 9350292799949033318, + 15431076336527669108, + 17520480722875175058 + ] + }, + { + "elements": [ + 6538607636118858799, + 6753337633514016269, + 12051539550801450918, + 3563388444125808690 + ] + }, + { + "elements": [ + 5806977200241163761, + 6670351956686988723, + 12729238785494827326, + 11086696506805914927 + ] + } + ] + } + ] + ] + }, + "steps": [ + { + "evals": [ + [ + 9792600834350856010, + 5188254148705636095 + ], + [ + 8914846130837395224, + 5286136140807078549 + ], + [ + 101910522374035889, + 18248271824737091450 + ], + [ + 9331374273419086649, + 16136046502319592258 + ], + [ + 17113214648236893024, + 10803746528914652550 + ], + [ + 1668801776336241795, + 6233755619505773092 + ], + [ + 8247167640851632618, + 16651421372025438562 + ], + [ + 13570328391517429718, + 9369050776895980409 + ], + [ + 12285098328276396929, + 12924180201822888796 + ], + [ + 9124031438329387771, + 5270128060402592976 + ], + [ + 3898982185318408298, + 12917306156177324247 + ], + [ + 9489303210099719052, + 16773628801385394087 + ], + [ + 1481102760613956395, + 5161867338405669218 + ], + [ + 6152433062453191756, + 2703685285898590353 + ], + [ + 8853942253436673621, + 8716082012221395415 + ], + [ + 8177793872488739428, + 2853221926516898548 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 16702994021125676036, + 6110656622928173874, + 6465058164246023038, + 16184554368906548657 + ] + }, + { + "elements": [ + 17261171235127312455, + 10421922507451247328, + 3583606802106054787, + 7817659961053558040 + ] + }, + { + "elements": [ + 3358683717270851401, + 2961676368452047941, + 9057083252966381628, + 14673314658839048091 + ] + }, + { + "elements": [ + 6537679082396629858, + 12487784107937726982, + 231452707977028463, + 6054321472033673756 + ] + }, + { + "elements": [ + 16413058089746768391, + 9834664295899184206, + 7493852198895894806, + 4865789648650569600 + ] + }, + { + "elements": [ + 12486980072611675275, + 5883404699178891107, + 1580710394887625411, + 7629553256030022226 + ] + }, + { + "elements": [ + 13203066007946704229, + 17229880197475007673, + 7801549377446736670, + 16454207174557381880 + ] + }, + { + "elements": [ + 499749457023998126, + 303791642005384726, + 15603772659653473779, + 15399029892832511460 + ] + } + ] + } + }, + { + "evals": [ + [ + 16959089487319182521, + 15444851230301405869 + ], + [ + 1782210371043744543, + 3518364459187068342 + ], + [ + 16832399843572792244, + 17502261117182437673 + ], + [ + 8238113487098451468, + 13971217211750080059 + ], + [ + 5381885023224697830, + 8215275633645542150 + ], + [ + 7283972144793802189, + 7979387986303146404 + ], + [ + 12697008333447693620, + 11448913708688182932 + ], + [ + 1768756671770665954, + 17670596610439958059 + ], + [ + 6972193923577148127, + 16090138579043043702 + ], + [ + 7450920115051101608, + 1292054568321870644 + ], + [ + 4439772528514368386, + 13836857964654059077 + ], + [ + 8348348581274865277, + 14464537662404717178 + ], + [ + 8970315888274505654, + 644221606564603954 + ], + [ + 15399039160860376163, + 12568541064327444231 + ], + [ + 3105765929385835344, + 7909739821700900345 + ], + [ + 8966682120869098376, + 10974827411998584394 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 15866252062756822673, + 9438779267806268454, + 16426854252081674013, + 13381336710263840617 + ] + }, + { + "elements": [ + 12658211438373697302, + 16640133305806054441, + 5100512867953758230, + 2281712740876362802 + ] + }, + { + "elements": [ + 299578386659902245, + 15247040136883929328, + 14470659730599543696, + 5084192544963818674 + ] + }, + { + "elements": [ + 17977281720448735165, + 12166807561834555246, + 17683793103168087838, + 18215651866800091513 + ] + } + ] + } + } + ] + }, + { + "initial_trees_proof": { + "evals_proofs": [ + [ + [ + 13525705727053620669, + 2289340038257029439, + 15609884991678993855, + 11388565380348492555, + 2167274589988383380, + 13912643242397536426, + 4477755241886248250, + 12453293408154069826, + 9722179464626135888, + 5899397129653979101, + 17327700145821193702, + 10074091033896835541, + 18299651434262916965, + 3599463026671155944, + 10083737534082478669, + 4888393346992202889, + 10364579910932107064, + 5421038342854294464, + 18009211924954487707, + 2549747048470403, + 15917055056495797443, + 11938447115623702043, + 14355765979207314932, + 7341753984339177453, + 4598648131282973460, + 696077043048941050, + 2273379594412048212, + 2573139178895759299, + 2531895750267171839, + 520016072375166961, + 10025621943099711308, + 11152084778414060614, + 2150793792648431330, + 6576629407414404233, + 18101833059944541273, + 6681156300494795098, + 3774413377995844811, + 17142489249793449207, + 12039657889838574045, + 3073731591053654505, + 5492018630288686840, + 5072098359965142597, + 12353047698219350552, + 8785737994774762786, + 9389610997675169384, + 5983768696840587691, + 11157725231478301933, + 1903818994680739793, + 15018890968186189114, + 15272295578907663826, + 17544049117196367376, + 11979821137556014500, + 4124312272402118308, + 14487311002556878243, + 8498385563210467207, + 9635840546503959321, + 8106273998710527149, + 17992677809451004821, + 17551409251805413406, + 15516960078835085, + 10504547168880903978, + 4454477260634234375, + 1045894632646926424, + 13954605084128093296, + 11373536155796910947, + 3085691933706659282, + 1291897209962005853, + 1321803790819817725, + 8585771360830037401, + 4453934529916047278, + 5527877120279794220, + 8897195391867759518, + 2122016746623018404, + 7948373176812911706, + 6007913110306812530, + 908744796538493881, + 6655517533861895110, + 9134517158747043164, + 700045581125417475, + 20797941556127119, + 11117900790974615528, + 16938622613566674133, + 18029045992046291817, + 8010892566079530986, + 15368839391509807800 + ], + { + "siblings": [ + { + "elements": [ + 7460460862188743191, + 13035202732424800494, + 5769319420138382247, + 13912711760202257058 + ] + }, + { + "elements": [ + 2930381571327661813, + 4699959998927431088, + 1419659092614135583, + 10415194961472830943 + ] + }, + { + "elements": [ + 13769383225816279770, + 7825909244116282814, + 15838450699235466978, + 13844998778781951125 + ] + }, + { + "elements": [ + 1631365076945276683, + 17952855191483405921, + 1200021196418710340, + 281693957791911498 + ] + }, + { + "elements": [ + 9309829695917655992, + 15323539885961116918, + 16755056467266465735, + 13355824694256736594 + ] + }, + { + "elements": [ + 14234482245206367525, + 9212722697256172970, + 7812936867196186198, + 8710655560293260083 + ] + }, + { + "elements": [ + 6429363493950023911, + 12923814613482780772, + 11811276539353002538, + 11619187420053463961 + ] + }, + { + "elements": [ + 489004991829986733, + 18221039776025511120, + 14984599056815833301, + 18047862829214290268 + ] + }, + { + "elements": [ + 6588315914970860168, + 12391071563510704842, + 6865282281759359973, + 16978282782752705345 + ] + }, + { + "elements": [ + 1423923135643619406, + 4934661402908283597, + 5716671560258643150, + 5908838024331157731 + ] + }, + { + "elements": [ + 14787720679629361898, + 18256842717097651137, + 9902511393318601070, + 11603705071387616144 + ] + }, + { + "elements": [ + 3088994586707959107, + 11006154257011783327, + 17991236710132529598, + 17883535976233109608 + ] + } + ] + } + ], + [ + [ + 6295872171236765265, + 4474263816263744567, + 9719140540606107268, + 4210565290523496647, + 15752379401781046704, + 5150038050837663451, + 6337317611387759636, + 9824260795803125558, + 346184893868158951, + 11932858533178125070, + 18337147203296083031, + 307736166120229949, + 2016555314578808979, + 16286574882775481815, + 17038367483362644810, + 4796157828075641432, + 13219776864955420131, + 6122403324392024885, + 5882963662789855608, + 15311668931109351025, + 13675182847181006023, + 13526039970950035016, + 15070083699717113184, + 10581009164276359851, + 1037829744623478290, + 11130897413540243250, + 3870837601617023329, + 10492620913390398660, + 17339915230344380937, + 10348930622828692969, + 6047461079508382774, + 15739608024561789080, + 12844964542725765060, + 17541720770616532435, + 14862191053818337006, + 2386776819811285357, + 8176994243534032920, + 18265758015933015271, + 6165442003612688753, + 8053845906903261030, + 3991861122282052029, + 4570210402622054798, + 9076909047101186291, + 7046458321301002244, + 7428701794584527852, + 18119899112958565215, + 8045505784809189033, + 2412406617630038797, + 17537542921575742585, + 8479368829846378803, + 9288424556571559590, + 2075058731706694512, + 16665110051124695108, + 2422037492987906801, + 3273889238095077750, + 7914678732019046449, + 17278495014050488432, + 463612449789439208, + 17062986405982787252, + 5546589419589176035, + 10841519307144386836, + 11117050992589595408, + 3272024862205289876, + 14668667534650597326, + 17688591369766375670, + 1576895382306937094, + 17959689380889507417, + 6114068115335811482, + 14070308613188933714, + 12529005242840677489, + 13909329345211854774, + 12289453326269659475, + 11186642946965484516, + 10033262003774306455, + 2594928811715047171, + 8634409792226887172, + 10959003609144172683, + 13605647751667607492, + 7903595701986027650, + 14995456800261275183, + 10574580082177376300, + 11691264385885526434, + 14056654207088787079, + 11170387688177275478, + 3725916712305558572, + 7744778012567494490, + 9243094924409208128, + 12895306067720739829, + 1824608678531647426, + 851591436459396396, + 4030090026170299167, + 17015194955150939669, + 1065481342810644359, + 11021635699593199428, + 2764923874317896384, + 12851825173384565263, + 15522444409825400122, + 12558882545313624825, + 10276877339049693901, + 9301642703043556754, + 3503611788076612709, + 4226928842695824117, + 17394916225929183975, + 18018325163150271368, + 14150291709971456076, + 7701923879881913648, + 7756073012276981386, + 17014590417175520385, + 3499084603956203071, + 12708476965745951241, + 3590459006697253083, + 8784169245973932632, + 15725119035059221980, + 9756737719351979937, + 11591094452836103282, + 6949504955650080798, + 6443233694622878572, + 3390886425228100155, + 5983518101560118120, + 7002567494885825185, + 2127683675292758298, + 5480651251670981007, + 3806885838527753009, + 3933199682466765360, + 870171838106162978, + 17505880110379867963, + 13310131038686721196, + 1293960934406157622, + 5563786908190195694, + 11870897117700260245, + 4134657894424155946, + 11069662013681768032, + 8685780255629745281, + 14177092467786458745, + 6880482341886396013, + 14617606712579066921 + ], + { + "siblings": [ + { + "elements": [ + 16295462804995992022, + 17243492643839289678, + 13741974462494305912, + 10947555576161028463 + ] + }, + { + "elements": [ + 12869935543904125177, + 14658345087736943882, + 3224472475796939853, + 6902222597325868245 + ] + }, + { + "elements": [ + 11815866000658607375, + 15256621911305311995, + 6498660630918041013, + 6743292567965059443 + ] + }, + { + "elements": [ + 4618584646357866774, + 16666896904306955337, + 14778839522588822144, + 1826595976179316009 + ] + }, + { + "elements": [ + 17791692582400376446, + 4999392173256260017, + 10380712625847532731, + 15334601809283265501 + ] + }, + { + "elements": [ + 5514804571005869304, + 3973662210134577609, + 14533511336612133699, + 13066809748799077559 + ] + }, + { + "elements": [ + 6372338403258811700, + 6731557912668912794, + 8432059129601832552, + 3914804232055548696 + ] + }, + { + "elements": [ + 4016878475298032073, + 18045346112041783316, + 15883777985051685880, + 316254067026950572 + ] + }, + { + "elements": [ + 3694570554461152610, + 16646734535270981778, + 15439619986001890005, + 12868448771426827234 + ] + }, + { + "elements": [ + 9744963622374919395, + 10905920453812322597, + 12176303830978632923, + 4625658817752090275 + ] + }, + { + "elements": [ + 1863448615002440354, + 15460841174825157514, + 13316846740431597356, + 3946065818746049918 + ] + }, + { + "elements": [ + 4304687124046649132, + 3747329993587585673, + 9030781395246323364, + 1445857546687546261 + ] + } + ] + } + ], + [ + [ + 11532246566103939951, + 15002645584773675430, + 7192715779772337855, + 16448178654839297165, + 11418504439920869185, + 14306251285876818605, + 4475895429225369586, + 1170070311591077024, + 5159782101563108058, + 10688900579953009415, + 4432835742097040011, + 2182966437217017234, + 12820081411592360345, + 15774467265693225454, + 819040355857754515, + 5231053726145958198, + 7019065728693701499, + 13263287664856478568, + 8633427005498778597, + 17534687007261031057 + ], + { + "siblings": [ + { + "elements": [ + 2689822330101279023, + 9914652745822991423, + 12158382956601552212, + 17733552885021807563 + ] + }, + { + "elements": [ + 15773414776468548906, + 1024140482841248061, + 15293078792587527098, + 8462027111310701433 + ] + }, + { + "elements": [ + 9741932623263383980, + 14600123786181575648, + 16376296705824251425, + 14672039946333187037 + ] + }, + { + "elements": [ + 13233201902807656297, + 11484004173329331424, + 12396232689844894643, + 5791291003054871082 + ] + }, + { + "elements": [ + 4545430049601397281, + 1253025513579492900, + 9199766161501364197, + 12273362367951803107 + ] + }, + { + "elements": [ + 2682394676716548328, + 12486936841420974041, + 18438342583078332146, + 11261080485153314167 + ] + }, + { + "elements": [ + 8926875479558903481, + 13152961171851730748, + 8064991136626545754, + 18334254104003607285 + ] + }, + { + "elements": [ + 4026658837847300169, + 14361794886999259888, + 14898286655712627728, + 6565257237921303930 + ] + }, + { + "elements": [ + 3232370179524623894, + 8332495103056418493, + 15675616117202806188, + 10485506394536793313 + ] + }, + { + "elements": [ + 14770735653966369990, + 2313913822981450412, + 10258840662050843193, + 14372679040384335761 + ] + }, + { + "elements": [ + 7857008101383130322, + 6768276695660172752, + 559932905240928980, + 1257168557072767116 + ] + }, + { + "elements": [ + 15387427674899231340, + 8501882419844276525, + 12386620652175047828, + 4868645124697622534 + ] + } + ] + } + ], + [ + [ + 10907650498158561856, + 15988228927247909623, + 437829540383723009, + 4028090275872577515, + 892432485324495869, + 16605393510421052335, + 5733031904845233970, + 10844647299929382126, + 17714752244750096947, + 492035642816971122, + 9680371999091315017, + 1991341067252857335, + 10013728852960406127, + 696402422810236609, + 6424363173088892847, + 16139014126533956182 + ], + { + "siblings": [ + { + "elements": [ + 7712218697351881415, + 18308930840588916484, + 1301917938542237876, + 10440140263316078740 + ] + }, + { + "elements": [ + 17146568385203967539, + 427418458163991977, + 9592237257258575591, + 6276615763317040420 + ] + }, + { + "elements": [ + 13458067508702767112, + 13699055510716024787, + 17265970160202954324, + 3306000640637724011 + ] + }, + { + "elements": [ + 8124032906868254928, + 1749726977299319197, + 17344326309824197215, + 4307720443771028293 + ] + }, + { + "elements": [ + 15294389178047156771, + 7512067517821495268, + 16007810405121863053, + 14371088435646003207 + ] + }, + { + "elements": [ + 8173906406570065988, + 2199186965553799421, + 13710497406646266494, + 4863419882767498155 + ] + }, + { + "elements": [ + 12988743689537485528, + 2197456460479430852, + 8405977167281591156, + 15726378179415963599 + ] + }, + { + "elements": [ + 11648663574159093303, + 17967394243581532796, + 9902408036123996448, + 1417619779688276576 + ] + }, + { + "elements": [ + 7230462829600253647, + 15576433793698845287, + 5682237633186110489, + 15757872296841426619 + ] + }, + { + "elements": [ + 3842838003406338173, + 10218525017008689274, + 9213725529051639549, + 2369135436091719407 + ] + }, + { + "elements": [ + 5974472960361372191, + 2476762585657815792, + 206381206817858034, + 5338504619015569072 + ] + }, + { + "elements": [ + 1561504475115230729, + 16231972722383327269, + 7917921998760886143, + 4346763394428128864 + ] + } + ] + } + ] + ] + }, + "steps": [ + { + "evals": [ + [ + 3054703505688134201, + 731139375889208134 + ], + [ + 15820654377985294445, + 12033740458099087040 + ], + [ + 10376410135917753805, + 6572676274196391941 + ], + [ + 12028154461116777485, + 2185318035055889553 + ], + [ + 3242068263489479819, + 381863999389220881 + ], + [ + 10507167062825234102, + 14006486941663455656 + ], + [ + 6875429667083477115, + 11448944000416559622 + ], + [ + 1935919477866208217, + 4072209323989915641 + ], + [ + 13760240920280405516, + 2767932390615795059 + ], + [ + 11207530518797570738, + 16813300353812825227 + ], + [ + 7972780076426767289, + 767685210268570041 + ], + [ + 4329414269643790963, + 13053622772014093179 + ], + [ + 698858011053251812, + 15753719528530421558 + ], + [ + 2391000354841395718, + 14752301047434986256 + ], + [ + 10401130227098983478, + 6645387594234218684 + ], + [ + 9074957188950939012, + 14601728871485393838 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 7406906735172397670, + 10789640315108806858, + 14599172068333140043, + 6188005336634170324 + ] + }, + { + "elements": [ + 2040207428579367617, + 16274418678009215669, + 12070019301788653796, + 882435423108674017 + ] + }, + { + "elements": [ + 15513570370216149256, + 15673043544254696076, + 2308040717539952570, + 10334751968923218070 + ] + }, + { + "elements": [ + 7190120974452298252, + 18197928164735592366, + 5501385224686203092, + 13939620665352254604 + ] + }, + { + "elements": [ + 11354274700436160236, + 10416877352064234597, + 15015849186151578678, + 7554714683248534125 + ] + }, + { + "elements": [ + 12578774319899091121, + 1354588930837191176, + 16664759746248141560, + 333461449005508799 + ] + }, + { + "elements": [ + 4637447594766008858, + 7206361100378313057, + 1825472309363969453, + 5177892743209174949 + ] + }, + { + "elements": [ + 11550304861048317231, + 8674041262181457963, + 7490979581545967766, + 5618323745102377557 + ] + } + ] + } + }, + { + "evals": [ + [ + 10128807620035108182, + 929918697367380245 + ], + [ + 7673159875504489756, + 2679542631921610125 + ], + [ + 2733095013445516373, + 8292063393025443718 + ], + [ + 15394117660886691839, + 17824147574751465703 + ], + [ + 14561204845322196790, + 9077786653101238531 + ], + [ + 2538912181159928362, + 6147964690531825390 + ], + [ + 2272858461044087574, + 8036977471236091579 + ], + [ + 12736177196946721702, + 15690818901917116684 + ], + [ + 6326589351802623324, + 17507523816662623729 + ], + [ + 16507304371866079956, + 432869250386988000 + ], + [ + 7572949313823862840, + 15377423785266839707 + ], + [ + 9293397249645939345, + 17337678977060351114 + ], + [ + 3191030319634184953, + 9536341236378955887 + ], + [ + 6339494792261187742, + 9821942856981066339 + ], + [ + 9742284172564559630, + 4592703942254963094 + ], + [ + 6937113454827399448, + 11576050427264107281 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 1648181848948887704, + 3778520377562085480, + 18210033707032955226, + 13299752000448927481 + ] + }, + { + "elements": [ + 3099719732100096971, + 12353496481084099351, + 14280147678795362351, + 12977314712912054476 + ] + }, + { + "elements": [ + 5931973424442107734, + 9577120825641518767, + 11177230856191956657, + 17265477309015640259 + ] + }, + { + "elements": [ + 13238430831728436600, + 10442838946283616992, + 8667880787121104282, + 8073171365941641541 + ] + } + ] + } + } + ] + }, + { + "initial_trees_proof": { + "evals_proofs": [ + [ + [ + 18095165893914977196, + 8633497178175853583, + 11151963055560087751, + 4875838662202730589, + 18125673207853883915, + 1282819612484996135, + 5914250055847585497, + 17853015522300334287, + 14356786125769584203, + 3031718519851941129, + 9862352843958651448, + 9434691846779588137, + 15612667866936786095, + 10087302379272005160, + 12301356796472158147, + 157234625356336822, + 9312176417290230554, + 7355940456824165166, + 12429196842624935418, + 14444488744389182357, + 17773924049906316543, + 13730526404912895664, + 6058302528928659285, + 14005458710025441061, + 14414202198116208927, + 12799682401204064256, + 1685504681380128356, + 2227239903623304644, + 3373294335258338558, + 11303504801455296255, + 1953005610094656029, + 2074313935991618237, + 14861494748403197264, + 17334499603258125162, + 17708117680145377351, + 4307411609060863864, + 13091327665531964120, + 7452732856877737698, + 16209711338836867140, + 3288360279243790509, + 8474896899209291007, + 8195475378003944679, + 14591888554199555318, + 10893048427702014079, + 8836643605257391087, + 7025871790818348107, + 3391526650398914132, + 8448240724059393253, + 5244818488947264431, + 10121654515261500538, + 2012776070287701830, + 14466170719240209454, + 9408939119754548751, + 14927983656431661384, + 3932063080567314219, + 12191447004502733175, + 10231671776987170553, + 5944357520669154180, + 1978824202074097743, + 3515489031054935436, + 5657728889304692347, + 4963670498546075209, + 8129836155997607793, + 16693861435153926196, + 11985070967558909902, + 13004285203506718177, + 2961830212814668767, + 16379929964411572063, + 8946924614816754034, + 8115907457932953786, + 14058501638397555986, + 1837307361584741539, + 7849981712154356988, + 9294493601613367282, + 2093650691174610710, + 17157279055820963195, + 6552892522320872763, + 16901536691747251313, + 8518344562648755341, + 1297472383230205188, + 3748456112514422771, + 17337723444059551178, + 7439432281726392851, + 8130470143642512544, + 9369667533566380780 + ], + { + "siblings": [ + { + "elements": [ + 2491792517586534782, + 12905960519909440222, + 11752558148133910524, + 10595920583305983732 + ] + }, + { + "elements": [ + 5605642377204210874, + 16378704797619873311, + 1135393766677231959, + 8381256719217982565 + ] + }, + { + "elements": [ + 10509682712086416295, + 5819513639770981531, + 16562868915935572529, + 17414567665324706585 + ] + }, + { + "elements": [ + 9383108383798429508, + 13420967280936287688, + 17292196216215295175, + 10828853444300103660 + ] + }, + { + "elements": [ + 15482342790419048511, + 16058276203541995491, + 8457848699169924993, + 659610426386896327 + ] + }, + { + "elements": [ + 16315801933952001022, + 18233904964506055253, + 14730358002038650556, + 18352496604616447201 + ] + }, + { + "elements": [ + 10172447972502653830, + 17296711198978347425, + 4471086517597607155, + 18055739855880844343 + ] + }, + { + "elements": [ + 12017016766451368180, + 12429574921182582294, + 298794470459732003, + 16569592841438221443 + ] + }, + { + "elements": [ + 10467905190371876478, + 12449835210117681137, + 15330682093047483334, + 4513379225742653632 + ] + }, + { + "elements": [ + 833087519981989104, + 3721778318625634300, + 16991620782134030668, + 2772190059921244228 + ] + }, + { + "elements": [ + 13209134280841888586, + 17398334605645756402, + 6986550889691532094, + 10808788916391265836 + ] + }, + { + "elements": [ + 7149408847722932775, + 10441923486607315837, + 14119041023369932806, + 8264357693174096049 + ] + } + ] + } + ], + [ + [ + 2084374373524400388, + 4366345683748600157, + 8096683040639451880, + 6949517388936925749, + 4860568086265219372, + 3319517202480689484, + 17895294283623341693, + 9732811443513843255, + 220705896882089657, + 5262286671668573978, + 1477630477896264741, + 1935462636718006774, + 14393171200670655353, + 7928136370681109412, + 5745710428493797020, + 2381204404496783180, + 15502252125229233666, + 8965095115425797625, + 8554578632110321242, + 1469658162694357687, + 2531426840704583679, + 17105991373837585960, + 1257255598834979812, + 152227328458228156, + 14883950148038209554, + 5765009114834254001, + 17869384519607896428, + 7453015678155864699, + 7585835396010623501, + 11887246265766227275, + 6285341146056274638, + 5972525139751379009, + 12907945970995529953, + 1283648101631779821, + 14144628017967787995, + 11365884155849657910, + 2055192299694473970, + 5500172694843060389, + 836984235844267154, + 12990800683697989808, + 8055081682240073122, + 14704089710860582878, + 2312115595814437172, + 11541381890652582775, + 4616024353701640009, + 17163011682184829584, + 2166710459889122399, + 8620510213424353878, + 6123068211474018660, + 15634737847988581820, + 14364088962676890774, + 12058288272218451224, + 2280367720448876420, + 2945632468833526166, + 1680190067935666936, + 4370459886268236591, + 10512762836898611350, + 9829959206330364332, + 7025615410132976321, + 13568469779479410285, + 9333951046020246252, + 11811393455493233817, + 10359253023569273645, + 5595119057680823928, + 4979996721686935180, + 9979708098802067026, + 13672367483489281479, + 16890709765928208355, + 7857443573862132199, + 9309412757190001969, + 4959611318590259083, + 12031226081841241580, + 6771763430391317286, + 12107589696620814630, + 18266731597515604752, + 5357572292131778668, + 12427364010066882030, + 17944925991604795563, + 17737279796851585346, + 8088458896261190089, + 9480473488961347331, + 5788319019247764135, + 446953926621572201, + 15915626638839453717, + 18221250009979502727, + 8185199426374137009, + 699777115346776231, + 14294651509798726807, + 16841965448256948213, + 9867801917675791676, + 13214170242674811093, + 245868868525671001, + 16485692690719637396, + 5767989819384419459, + 9691123471326645236, + 7989248391838455016, + 13037924967951012090, + 9396413249180729260, + 9625386506725920479, + 17497790970065086980, + 1140993074111122760, + 9654003672708124376, + 14743780837833268741, + 7345548511526718874, + 4422898095686355668, + 330145283510852600, + 15792006346656192885, + 14183889911815628070, + 878385770338407867, + 7076075167876038322, + 7332067440478805858, + 14523172462394152401, + 6390521632733477058, + 13174705640762574491, + 17763428621636244794, + 18315189518629259435, + 11608838429449921011, + 6121633928972958684, + 5933660624387976701, + 6686534837118783747, + 7707520777282006125, + 12546697961598799176, + 10961504085979981370, + 3924227302315742104, + 2595766842870362263, + 5388191639715348070, + 2973740260093850879, + 10437470157941585256, + 5687551365574707441, + 59022689443649023, + 10605974942156399283, + 15352552057439197566, + 13048794977760487852, + 14321104764753888925, + 14172230127156351734, + 17301601197626467683 + ], + { + "siblings": [ + { + "elements": [ + 4987218528052890929, + 6848117355086157754, + 16780775350628129068, + 9815970630289528221 + ] + }, + { + "elements": [ + 7067194788711060739, + 12686118183909909755, + 4054231374809904045, + 10892768084343622752 + ] + }, + { + "elements": [ + 12028070797580110907, + 11604856327190511250, + 17814176610852419169, + 10748581570227213546 + ] + }, + { + "elements": [ + 7956070780452282588, + 17594171371725643164, + 15981850962243873957, + 17459704352843242778 + ] + }, + { + "elements": [ + 5109353642363620023, + 14310473080065058779, + 16880230377710834615, + 7498076428232249307 + ] + }, + { + "elements": [ + 12521111736089902314, + 9315570715619591522, + 5398551236405020709, + 9806443917255603272 + ] + }, + { + "elements": [ + 7161541547108721010, + 3267774648666557340, + 11372077695348884250, + 5306729856280624429 + ] + }, + { + "elements": [ + 14828459154382681970, + 15885452983424979016, + 10291870819767021724, + 16048156009365345124 + ] + }, + { + "elements": [ + 5490621615906093533, + 3758742209016548247, + 2137388290540029635, + 1569575422758154839 + ] + }, + { + "elements": [ + 9712050277873606546, + 10419152149846800943, + 14829236860212493431, + 7792111791073952511 + ] + }, + { + "elements": [ + 8907470706349133047, + 18425631773018799916, + 1522548037428156540, + 17859971189949141918 + ] + }, + { + "elements": [ + 5334638550516404267, + 163215194369528102, + 8022098787184396525, + 441518950163739799 + ] + } + ] + } + ], + [ + [ + 3761277315817771321, + 7579608235742564495, + 9879833255401183878, + 6112547327553739577, + 11929775700654544386, + 13665782408912986145, + 7180848585111174287, + 8274523694703319456, + 11122916940937584546, + 1889984281161226221, + 3329595828638190919, + 2713642790716724539, + 8579695797520017966, + 811040679277005040, + 10312895732980154809, + 14392831784694246303, + 8842428416949624421, + 8325184196327891367, + 4927900897157478678, + 16639390713006815811 + ], + { + "siblings": [ + { + "elements": [ + 18367296338204941829, + 101298582240122135, + 13542221711463320527, + 12966582824019997494 + ] + }, + { + "elements": [ + 17310635085416734097, + 15171428807691637893, + 3828064438027697642, + 11913630577249629557 + ] + }, + { + "elements": [ + 2208958838309390822, + 5714257537135487237, + 4456972654930661849, + 3954140790761850154 + ] + }, + { + "elements": [ + 12523590007068830526, + 10585206204219864396, + 5641201829307090206, + 12387430059861364126 + ] + }, + { + "elements": [ + 15090092814811216688, + 6771277124187645758, + 7531049957748582463, + 1376933961779384679 + ] + }, + { + "elements": [ + 16500640131924744504, + 4885565498979932445, + 7738848700256660901, + 11478002741192352836 + ] + }, + { + "elements": [ + 6746039194010088209, + 11869998145851787007, + 15392010911163179564, + 1774140411541813842 + ] + }, + { + "elements": [ + 17183846617072333796, + 18395697926570836480, + 12740868889599024226, + 11241547037720552407 + ] + }, + { + "elements": [ + 16362672210146668184, + 17133028004096572929, + 2952136693395406400, + 2388674955552988711 + ] + }, + { + "elements": [ + 5891149333770880415, + 5769708850978522442, + 2502020224750142059, + 17483667584669753842 + ] + }, + { + "elements": [ + 3966638689899011571, + 9630498163918754573, + 8967749187153254608, + 9199741565063152175 + ] + }, + { + "elements": [ + 15062546824536624079, + 16601999484726731381, + 4588150196710111504, + 8955656718810895512 + ] + } + ] + } + ], + [ + [ + 14103165106683749923, + 1755438724907215571, + 14500193313904043366, + 1706053803879727142, + 15724490663570326192, + 11389510959042134355, + 16527800355719297240, + 13937192010236929420, + 8574848508150208568, + 9985192026400338671, + 4054623632255702616, + 7403081217269104215, + 3711287311383149659, + 17837268031202879249, + 3716607548979436069, + 1803007916930755098 + ], + { + "siblings": [ + { + "elements": [ + 4226548595518534434, + 7202127018529751792, + 3070398999868466190, + 6907302340377664463 + ] + }, + { + "elements": [ + 10121848302647883450, + 13192928163841253172, + 18286478128270786530, + 8602008296538604658 + ] + }, + { + "elements": [ + 11359853268487793242, + 17565032751779569496, + 14319954870497969711, + 6756504653047846224 + ] + }, + { + "elements": [ + 1420870550238147510, + 17044499685103018412, + 1614832181821202677, + 7081922445079109895 + ] + }, + { + "elements": [ + 18391896167695315024, + 8285551285649323915, + 17036964125856811498, + 12069782432992769341 + ] + }, + { + "elements": [ + 6296371623278952561, + 15626995905244622562, + 8904291989881550427, + 18100743173194571763 + ] + }, + { + "elements": [ + 6218006664877593371, + 18325970176739935575, + 10486224234760886778, + 10775544718997083315 + ] + }, + { + "elements": [ + 5260660484348150881, + 14355645895336981926, + 153000987649644631, + 10295370749489875914 + ] + }, + { + "elements": [ + 10083938364452674405, + 2647452627709535377, + 18274397846789519497, + 14783430152881193431 + ] + }, + { + "elements": [ + 8647191928489820426, + 2260382083165680783, + 15613116427509972519, + 9829312779243589468 + ] + }, + { + "elements": [ + 14185463533782063083, + 17629576015682396594, + 2378705652524244050, + 4897833658035199571 + ] + }, + { + "elements": [ + 5806977200241163761, + 6670351956686988723, + 12729238785494827326, + 11086696506805914927 + ] + } + ] + } + ] + ] + }, + "steps": [ + { + "evals": [ + [ + 7165474516501690480, + 12196673031695414478 + ], + [ + 14620626702723639905, + 3539550863653456347 + ], + [ + 12014567129844368938, + 16991447799496289478 + ], + [ + 14505849625075033588, + 13565017624265945422 + ], + [ + 11278277780498577040, + 4224460568876570336 + ], + [ + 6255791917514839215, + 14248891935269514550 + ], + [ + 16801862325701715136, + 1123551563456140070 + ], + [ + 6770745241599603922, + 5500012070613812367 + ], + [ + 17317555594232403054, + 10634968171963199227 + ], + [ + 7113605614352601135, + 3304776485306325504 + ], + [ + 13180841522131160856, + 10229576877730436009 + ], + [ + 17458838947908383907, + 9499265540174869743 + ], + [ + 8990016755131641923, + 13864990235140311215 + ], + [ + 11878372300313612839, + 12955030410300354882 + ], + [ + 2612078906693423393, + 7328286602715687272 + ], + [ + 6281432657737279655, + 474672464741138807 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 7579431971612428537, + 9404636732328661220, + 6301568947644379959, + 1030670561317772041 + ] + }, + { + "elements": [ + 6540251868773712291, + 7003374909024369277, + 4437337991811473776, + 7621400531813984902 + ] + }, + { + "elements": [ + 10505386081363077810, + 9830493862488335411, + 515771015087022910, + 7367446806532067218 + ] + }, + { + "elements": [ + 14715863829550397087, + 6262858849972865119, + 15093779735424392629, + 10544059929461426752 + ] + }, + { + "elements": [ + 15898990130342812892, + 9973420412326646948, + 10813781043362521387, + 16990805676111591214 + ] + }, + { + "elements": [ + 3230128920655950552, + 16308811918864011030, + 3553804884684721339, + 11636406900765826592 + ] + }, + { + "elements": [ + 14760386412756978785, + 9124296574081820374, + 8423919023769359137, + 1614280215139594785 + ] + }, + { + "elements": [ + 499749457023998126, + 303791642005384726, + 15603772659653473779, + 15399029892832511460 + ] + } + ] + } + }, + { + "evals": [ + [ + 11011247883790902067, + 13051608500448221333 + ], + [ + 6422423055853014688, + 1483599656666125789 + ], + [ + 10463814578670344561, + 11822567399405262977 + ], + [ + 5645038998412250974, + 14424782449277996974 + ], + [ + 3138979245536756498, + 8440301408439619403 + ], + [ + 9125751188018115879, + 4708716304677918526 + ], + [ + 5925734690673714108, + 13574082682802819176 + ], + [ + 9984822073616828413, + 18434038824149425254 + ], + [ + 7800372022389847304, + 17392692526058145810 + ], + [ + 3546901339739536166, + 6289287698619479536 + ], + [ + 7597948421713999513, + 14229934589533117039 + ], + [ + 14541224977581848388, + 7697329507744443255 + ], + [ + 16275742666651878630, + 2507257445690774724 + ], + [ + 15274888130809277, + 11888717101112829146 + ], + [ + 12983830502324481848, + 7350373859047252476 + ], + [ + 2159642203387346250, + 5602964805126051423 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 14345010841538332824, + 5225450067411683354, + 8734743183257930786, + 4282122782234293503 + ] + }, + { + "elements": [ + 7035449159596104004, + 7904862005723664222, + 8772469904122362723, + 13772589293095711729 + ] + }, + { + "elements": [ + 5507517536273833098, + 8473576032228211866, + 3455074441584669433, + 1867553934758708884 + ] + }, + { + "elements": [ + 17977281720448735165, + 12166807561834555246, + 17683793103168087838, + 18215651866800091513 + ] + } + ] + } + } + ] + }, + { + "initial_trees_proof": { + "evals_proofs": [ + [ + [ + 7103373446225903306, + 16972501188434365144, + 15286821063414997864, + 2137578504259298098, + 1940443682219820428, + 16745329851490019688, + 8242548653056287414, + 9121093751309028369, + 8066184850273863220, + 6395775457658338854, + 3857863598421585716, + 5463543898992977770, + 7497490562241400984, + 18029299090145980291, + 17678997465771926565, + 1475718282211399320, + 3859979935084006025, + 12692012656790691538, + 8134616474480170056, + 2279063083831797868, + 13500155360873560763, + 6332841708237198210, + 14587483688022975706, + 13453959471191237703, + 3186427429029676210, + 2546716623179602508, + 13727329451892634421, + 17631054020373948069, + 2562966271905611411, + 11866415360181976572, + 2384320350835318516, + 1474795645020661564, + 4205138292516183934, + 11045689605153448170, + 15557619984797501153, + 732996353663938038, + 11704099532085488832, + 6307014504963453837, + 6361567631119228361, + 8952721566202925777, + 8213138920221240918, + 5125824093034246261, + 760001239335885992, + 14978675047870607543, + 1590992941791679694, + 4152386826291733303, + 2615593845290348309, + 18232372109988754461, + 12111454208276510203, + 8513075232099680191, + 9812240285811345633, + 12758813089102822611, + 14915885812202727666, + 2631252196173925426, + 14825531711171852361, + 17873695181045550756, + 15208298790240656379, + 97309503868427693, + 4839177467780204506, + 16636268344788845233, + 10859426587303334352, + 17173041303782561951, + 15801943290491570457, + 17931622370964496655, + 14443446520050381909, + 5474184240095982165, + 1972906412389985029, + 14869093944385606659, + 764561278205603059, + 4018416002386337244, + 14327150605825095058, + 5087677679917223084, + 7014874552808594025, + 17983314346201976534, + 6655629423228666064, + 227172112233080266, + 4519659508769758279, + 12302014858171131118, + 9547182668845580463, + 5952755441568230200, + 11575253294049663977, + 16965069792790188932, + 18366703098941047916, + 5501461082494313165, + 9995418826979400740 + ], + { + "siblings": [ + { + "elements": [ + 10227458044557008255, + 9978469385928190081, + 16936851555627250532, + 17536218999695003992 + ] + }, + { + "elements": [ + 3456050006390284737, + 4208862798755330100, + 4892610417238060849, + 2818167602450850548 + ] + }, + { + "elements": [ + 15631761193306894109, + 3789299358790492681, + 14877935747103287678, + 4672668527717060265 + ] + }, + { + "elements": [ + 7740929507806217920, + 9951023278127563189, + 4359449670241117007, + 7534104393460665733 + ] + }, + { + "elements": [ + 11533802214291823029, + 18396483323040545560, + 4437070318281019768, + 3221709205830800268 + ] + }, + { + "elements": [ + 6903592694029745049, + 13250316889130273534, + 8954327230456506265, + 3218016382970170899 + ] + }, + { + "elements": [ + 13853086199845299673, + 14049118050581196918, + 9310002161065565548, + 4709809116325253678 + ] + }, + { + "elements": [ + 4055903227745921867, + 2668804299098796665, + 9130785184375458430, + 16604434302775912915 + ] + }, + { + "elements": [ + 17520897688983778848, + 14977153846525766913, + 12973216791322815956, + 14941591695938259612 + ] + }, + { + "elements": [ + 13850739489661272124, + 8220201293699038573, + 14658096235756204841, + 1223078569207766515 + ] + }, + { + "elements": [ + 9160851327605950848, + 13229874179737596293, + 396198518704995479, + 8213216571172967348 + ] + }, + { + "elements": [ + 11402475503221838933, + 2607641797327923886, + 8175471678029012157, + 13342329273105681379 + ] + } + ] + } + ], + [ + [ + 9835137194562739928, + 1548937868431724956, + 10506905550441529974, + 13305881969475742732, + 6524746152430420307, + 14362498078866837024, + 1436125257820294247, + 6893899599602909465, + 32422279814571511, + 15433876489998220502, + 15381853120719070522, + 14153875252604104687, + 11537927731599195501, + 5506933140656158986, + 16027457007488880061, + 13428543393802546081, + 7291743067448744560, + 17019231386773040784, + 9066864014835336542, + 9660897434012690937, + 5156521629362482298, + 11846949912772602572, + 17448038782841304777, + 5033399434306531179, + 10279016004351587198, + 8490097341619361840, + 11985269839866320907, + 510493920650438383, + 8167312735553526173, + 4325620863659477691, + 14143058108993095514, + 3837527756827734170, + 2152390270147023900, + 699075451526072604, + 2577394856734718276, + 15877960046627109104, + 18144909156903841942, + 18213859886910589169, + 2325341380414940615, + 17138028057365056359, + 11714794419334582262, + 18016641984903360422, + 17733026172270785415, + 10788284797064142958, + 12827038363743155306, + 7349703781827409210, + 10751144189418950838, + 10978811835562652871, + 1531129120880597910, + 3737188365324242410, + 10282778090342466535, + 9786431044851797308, + 11773974039252993478, + 4109920830337306309, + 234367024794975963, + 3220826164161739313, + 7503975735069851575, + 16062633617750037357, + 6186384423170524631, + 2301638949277895813, + 17267146600710165949, + 266380319863950520, + 3841382177172093871, + 8382381036666388643, + 16457680202363958619, + 16006276189205782034, + 5423723914565125723, + 8604909486565544158, + 7216440852875970522, + 17279763326818947215, + 10808177472807598820, + 12390852105565610399, + 16646294407472680564, + 12904861562000634927, + 11530260996832093016, + 8904627831312675175, + 5789200265776967660, + 14311197023749350148, + 11048955065025063283, + 8603392593605193905, + 10794903256538452796, + 15473105519880955822, + 16132942374248027950, + 12699496191380487211, + 8188938857450959271, + 1017581301765402793, + 17572598264328566946, + 9307214670800408696, + 12566440182884503670, + 17837986568910657175, + 10821773196420235074, + 16278925024029500552, + 12659270818910845242, + 4504918420665702961, + 12278884798757386516, + 5150800278417661668, + 11933571811801222467, + 18080539410481477673, + 2567907583740022296, + 10551312184437057564, + 10907043763273069076, + 11765744324445293793, + 11248319515806495145, + 6885370283483286470, + 10231185410761684877, + 9419597997223512288, + 10563522420211302007, + 1285314019145912634, + 12256947586616324771, + 9512162717808985006, + 7284628725272096289, + 4755282621088114953, + 4800467687241163310, + 3617606353515590354, + 7354096805635642333, + 15307653859960398322, + 13179843634382097282, + 14372564867876389650, + 12636520356028244054, + 12367798881341085014, + 16836541239284959439, + 5853327135449469047, + 642692230080130425, + 17199041794164494404, + 9658046918638689584, + 18183374588176125884, + 7579607615377622089, + 11484302791832176257, + 9088821366069982812, + 12146921079479815757, + 4172162142979954438, + 2206222212793657656, + 14117408564318812523, + 8986415613561797790, + 16897335616362857688, + 12849490293029560504 + ], + { + "siblings": [ + { + "elements": [ + 14740058793679257215, + 10229489251124574697, + 14155965318535064504, + 3901836672453453049 + ] + }, + { + "elements": [ + 1686101475804458658, + 15745835672237829235, + 9209915957005737540, + 8118794158981371069 + ] + }, + { + "elements": [ + 6315156840334511786, + 396242145139256585, + 18107493099979047373, + 13425462949676190744 + ] + }, + { + "elements": [ + 6023342291985455165, + 3807384722427976408, + 3426872595111633668, + 17155569330731763492 + ] + }, + { + "elements": [ + 17288784144889222936, + 6053872743671476406, + 8222338350924869299, + 9116050962809322381 + ] + }, + { + "elements": [ + 5767873942343855460, + 9465211102330502707, + 9789450336829466336, + 5324402892367916884 + ] + }, + { + "elements": [ + 7839204168359178532, + 2495252805203896151, + 18344219742717683295, + 7009867145188953276 + ] + }, + { + "elements": [ + 1140587932189361332, + 7566976287215397707, + 17699745273529704608, + 5656056290065397358 + ] + }, + { + "elements": [ + 18009293428528274087, + 17073087740576238658, + 9818304582769899931, + 9515482570203452390 + ] + }, + { + "elements": [ + 7139093437785909870, + 1776430984434047116, + 15562249197671655786, + 17418257171980141510 + ] + }, + { + "elements": [ + 13177754333351241908, + 7286094739512468081, + 6922733242937024692, + 9449027572349957431 + ] + }, + { + "elements": [ + 17378733827664422103, + 8928053274219396537, + 11602092897690398839, + 14653672260959186501 + ] + } + ] + } + ], + [ + [ + 2100135762795937441, + 10921233781452649127, + 14070620993259552467, + 14908206295660806829, + 17064470532178949032, + 12391323138631113460, + 4279811869822867916, + 7341254208131660242, + 18347129707801120485, + 3286248473062176570, + 5289724875084081283, + 15002376963618222766, + 13951508518375596349, + 6545593629881475125, + 11490152844440954722, + 12579737335836284553, + 5952173259288797740, + 4063929753559619945, + 16409622411768109800, + 4709222074881714007 + ], + { + "siblings": [ + { + "elements": [ + 6060998552947309999, + 17292656782509767960, + 5150990573983744586, + 3401286253465009401 + ] + }, + { + "elements": [ + 5360014101515727152, + 1208449970852532859, + 18182107840060966979, + 487937323065149660 + ] + }, + { + "elements": [ + 4854884523419616625, + 13926113478171785498, + 13931585687119695167, + 8997071924631717654 + ] + }, + { + "elements": [ + 11745642887826723936, + 11863726498466837376, + 3893100793719701255, + 10616463343960620385 + ] + }, + { + "elements": [ + 9057633824637022831, + 4241512745232610660, + 8883171382574489060, + 1463849803272185055 + ] + }, + { + "elements": [ + 1736748097578311832, + 2657538378828453632, + 3934512856587186248, + 1728587245087772351 + ] + }, + { + "elements": [ + 15651307210085406535, + 6132025476616942876, + 11262413886769881584, + 15493274275957346110 + ] + }, + { + "elements": [ + 2827223051979298129, + 2865596974853790846, + 7074325995296968788, + 5797846646971231174 + ] + }, + { + "elements": [ + 8920391164849912754, + 8857993005519553076, + 9570103217582914641, + 16574557584494608082 + ] + }, + { + "elements": [ + 14958844426765021484, + 17633814869969662780, + 8758995957943767783, + 8156727978777453429 + ] + }, + { + "elements": [ + 2041843515907619840, + 14889844794844788558, + 14477212507021971350, + 172713993500455476 + ] + }, + { + "elements": [ + 16226927864056597398, + 8733820256619175109, + 2258020186708238101, + 8755300295871591924 + ] + } + ] + } + ], + [ + [ + 11923270903505637265, + 16791565624106943755, + 16622477897922924292, + 6266036154748124827, + 8530065011410036090, + 917323200824486717, + 6185709509184054324, + 11231419854364349876, + 5504743261663294739, + 9069832576649372313, + 4309557135715540984, + 4190549213790735974, + 6218954901879989584, + 8041180928836340404, + 15669630723335542042, + 6846707912211562576 + ], + { + "siblings": [ + { + "elements": [ + 6228009392330010748, + 10188374477293728838, + 13628674918451368946, + 5972083034873189380 + ] + }, + { + "elements": [ + 1892091109536521467, + 11285882167264705083, + 13879778244671781569, + 2941823899563680924 + ] + }, + { + "elements": [ + 1868018038994064897, + 10508997541980665169, + 8277504063462523617, + 9168714362646550059 + ] + }, + { + "elements": [ + 8084464275285909054, + 17164671887536420449, + 16170894461362527010, + 7138961931510475762 + ] + }, + { + "elements": [ + 11120409301763786036, + 6420127346001035671, + 9001994253768870368, + 3756306388692535378 + ] + }, + { + "elements": [ + 20252590043010017, + 17804532959648821374, + 1177125167480683335, + 73908734340310689 + ] + }, + { + "elements": [ + 11572840484284060803, + 8775691079739602663, + 833652594940519511, + 8316199593973213508 + ] + }, + { + "elements": [ + 11661966559825669460, + 2596401074913581862, + 12444471807481437123, + 12113063407790799618 + ] + }, + { + "elements": [ + 5191888187186745783, + 3134989371912759966, + 12235373675674344207, + 18320971960763824429 + ] + }, + { + "elements": [ + 5626636747876482658, + 1278584487420102967, + 12573399260192253451, + 4948889118285979428 + ] + }, + { + "elements": [ + 2563141611551382761, + 17042712894469357929, + 13614302588421942069, + 9881362241491257906 + ] + }, + { + "elements": [ + 16180022277721994470, + 13904812228669033497, + 12135218297320988671, + 1890944412449792145 + ] + } + ] + } + ] + ] + }, + "steps": [ + { + "evals": [ + [ + 10171988814783144688, + 13923629963347874953 + ], + [ + 2966792209532770874, + 10146942591161242883 + ], + [ + 14391170994663502617, + 4089380868145735330 + ], + [ + 2858342244738521311, + 15004660706094812972 + ], + [ + 8585660369024437858, + 14955620326523200329 + ], + [ + 7712425357034675216, + 15835496839310944251 + ], + [ + 10369206650312701261, + 2249224502691844374 + ], + [ + 9552820675781326325, + 13249485796502251057 + ], + [ + 6538751763491383248, + 16972117617742244161 + ], + [ + 3282376531882013998, + 11375377512497723095 + ], + [ + 12398729119372016696, + 2708741670689726639 + ], + [ + 12187492711499017051, + 9582940964051250845 + ], + [ + 14014518445462351933, + 8237017286929813724 + ], + [ + 5882079623961876367, + 15256721719464946835 + ], + [ + 2032827512028898446, + 5935702138429763796 + ], + [ + 16373493752477656041, + 9618479202117422314 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 10584585836536493478, + 2699097591126912182, + 16497677369425903293, + 10044804905997120877 + ] + }, + { + "elements": [ + 9410523015725757226, + 12511556045956823613, + 12414495690010922674, + 16663137818816389832 + ] + }, + { + "elements": [ + 9859002826616886902, + 11306788145622516686, + 3376601998498514417, + 1585541347936257249 + ] + }, + { + "elements": [ + 3065244348284396427, + 5856860728629140685, + 10908426132103661639, + 10923815806440313190 + ] + }, + { + "elements": [ + 1193793000563875858, + 14654727936856370438, + 6386621377145915746, + 9921514250624563969 + ] + }, + { + "elements": [ + 15431797593457899494, + 8460098434522959795, + 17176638030114023128, + 13380713060137504505 + ] + }, + { + "elements": [ + 1496646427884681320, + 14221194205149029467, + 3653364320733578333, + 16120209202780483049 + ] + }, + { + "elements": [ + 835851100286315128, + 9232199217482608843, + 583915661877889718, + 13833253973526835000 + ] + } + ] + } + }, + { + "evals": [ + [ + 4127916137942703241, + 13005123144807107252 + ], + [ + 10199656090870585724, + 17802405208022214552 + ], + [ + 8359578821353842468, + 3361468733706646557 + ], + [ + 16893225497517609335, + 15975126345795856427 + ], + [ + 1172326998395713270, + 8696550946533213322 + ], + [ + 14178674685750550187, + 13016387935206308822 + ], + [ + 4026023271184839941, + 14580939605383891200 + ], + [ + 11538024086545390130, + 11927049152718492591 + ], + [ + 3399766990085991290, + 999862587486601027 + ], + [ + 18177945003976450580, + 1021611554453764069 + ], + [ + 2104506965878867243, + 14451075507551476840 + ], + [ + 3626171233478025437, + 15710718330016767062 + ], + [ + 15411227243303477687, + 5303945634808114555 + ], + [ + 4191670007506154666, + 15206428832657526453 + ], + [ + 4617675297021774653, + 15209251964050520808 + ], + [ + 13591455753582496784, + 5481316627979944708 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 2560302411702710252, + 39464794468241361, + 14502189754849133989, + 1423957956663189136 + ] + }, + { + "elements": [ + 12367861426773910352, + 17784254789206092272, + 16001789319180044296, + 595610423719149426 + ] + }, + { + "elements": [ + 3765352929460722706, + 14287170081435443960, + 10944276410228567310, + 14654087411464280053 + ] + }, + { + "elements": [ + 8733507055948350909, + 15985619496442861553, + 7973873240640669202, + 18088136317789485598 + ] + } + ] + } + } + ] + }, + { + "initial_trees_proof": { + "evals_proofs": [ + [ + [ + 2474978012221259607, + 12277455028983715650, + 971593587022504580, + 16745128032383289638, + 639340812522456950, + 11375901192582821092, + 414166295418378112, + 6942116831220813935, + 12813059426698794096, + 728176113112263970, + 577229782179713246, + 9516983202427567187, + 15183836476352999827, + 9754808111177176516, + 3209091497983459685, + 5294143298044816462, + 1551419608996722941, + 13373583361003597119, + 5905785034748490726, + 5939763574403939646, + 9433252941745632874, + 15010867092218698427, + 17129794635601506522, + 16741903829634211668, + 5797777504247192086, + 8068500246602854630, + 15335230431915983309, + 17784405582697801234, + 5110062071304205448, + 7487819505365349639, + 16510986559086831187, + 14363828863956982039, + 6688908459637740317, + 1032312425948496749, + 14112372221491589167, + 3171050083801172343, + 5887882223220153473, + 14265508942620779583, + 3034464571418845692, + 5937138978255150293, + 10266632732349630660, + 16722984034897646232, + 1915662900406877536, + 13973651016885684450, + 16649962397282693082, + 12442167108689196168, + 12736926178756634571, + 6688083689064660195, + 252950015853992769, + 2260977871672545533, + 14555195412671044966, + 704120957517215834, + 2473560994652708379, + 17105594059472228760, + 18123627731767441189, + 1485474310680874421, + 7043244581204814135, + 17462951373760653057, + 15081122396710814854, + 6362593355936689740, + 13488982495992973566, + 16086118661095417757, + 11463349718981818568, + 17848314346055401788, + 4199198749834720916, + 5431719876299264272, + 17950644209403345068, + 17642092133981620439, + 8981085709233452959, + 6530593350170116327, + 18183239114687889159, + 388040268218716658, + 9165112953841895098, + 10330898958931950982, + 7910016667013613552, + 16554235851051202685, + 15714308400589053233, + 14318598800751372228, + 12884870131323049040, + 17270806749007816616, + 6617555864228661847, + 5198243514404038032, + 16894753027359012003, + 17500053577979203802, + 6772683479918779843 + ], + { + "siblings": [ + { + "elements": [ + 7881631567110253900, + 15421506551903490176, + 15995425783918395077, + 10527687202047889745 + ] + }, + { + "elements": [ + 13671409835022422038, + 12599501927133621768, + 2824465901712098567, + 13045417275008622873 + ] + }, + { + "elements": [ + 6089111274010519995, + 2185109339429425733, + 13462967090821277257, + 9526447964073738273 + ] + }, + { + "elements": [ + 10365435276229637870, + 17034234101177341449, + 15296778261024436096, + 13688463436442525919 + ] + }, + { + "elements": [ + 4282755499740737413, + 13583471610962762667, + 10846097939499930939, + 5841271441205495786 + ] + }, + { + "elements": [ + 1962691204400669600, + 12341272925668031489, + 2067644345068270498, + 13860528396350405569 + ] + }, + { + "elements": [ + 1774727721870557077, + 15182704536499046490, + 12951677583401093809, + 7406998018122614044 + ] + }, + { + "elements": [ + 508927173731588197, + 13003727259870984528, + 8744072491819073370, + 15905566060565026625 + ] + }, + { + "elements": [ + 15049604411180056764, + 12659101062541699098, + 3588353994809125878, + 16470082004123738171 + ] + }, + { + "elements": [ + 4523119380386866046, + 217179573293368852, + 2229410466107937354, + 11879002611927671278 + ] + }, + { + "elements": [ + 18313048377888422489, + 4846919451907594772, + 9492902322088566642, + 17382013446615416457 + ] + }, + { + "elements": [ + 4072134064997066046, + 8672187778532081036, + 6732414419037732095, + 3128440222947068773 + ] + } + ] + } + ], + [ + [ + 3056618819471239270, + 17318274800731403178, + 17158964800554305122, + 4692229971607600744, + 16374010322819638694, + 5102086714277374623, + 15154200921652100380, + 1035207874598900825, + 9460108704231527928, + 10145122243219588170, + 9413464773064264383, + 12902343199708812962, + 5151361601458488608, + 2995452749561612911, + 17609722887122990673, + 12857015764007829117, + 14476290222456593453, + 855122501973691787, + 13297902149456783977, + 3166952738053408925, + 14813672376211753361, + 7955053415292128870, + 2979744977856348041, + 6954916181285839917, + 11034252046123801863, + 13816421865928530181, + 7900658926040709461, + 16908009441582126340, + 14063525848708685307, + 14747464512410746477, + 2831559393448365384, + 14958159890108519606, + 7371043397784469500, + 17998453505929205491, + 15753596298023516598, + 13553368931860646905, + 6089015905401261312, + 16318524544323063356, + 17117347401508190684, + 12110744935658515038, + 14812163269260247018, + 7648285663452991600, + 4455406539730445048, + 2286685000668425134, + 11833466867004746404, + 4823159131277959461, + 7041498703404338609, + 11664168802980274701, + 646022682494725983, + 14289970542374108523, + 3751634712902714294, + 16203591172200180059, + 3219252498779076129, + 14500137913578409642, + 8943195876382527300, + 16777679045229333424, + 1476676966185790370, + 16451629845867002332, + 760599764995804895, + 8650947761584495392, + 13051933490111627690, + 4392655871094136948, + 855834337001362606, + 1923745213733136800, + 7611217910022628750, + 217984981448730311, + 15782662092410833868, + 4315012758453864827, + 10543800431009199909, + 2019487962341033113, + 15836586003089783073, + 7315696024091635488, + 4679746219625848281, + 16459044977951148454, + 11978905700571079735, + 13348063880974523162, + 3192589333512980801, + 16309877797812152716, + 12544668112746611259, + 4845794608615365071, + 12313171579978049232, + 14428480552469908712, + 7821621554208159250, + 10946720977249944855, + 7253279976458995486, + 2472413102002327598, + 11578066261761988982, + 12182311623188245333, + 9553547281649288349, + 8075219222784285727, + 11167777988162784619, + 14033767073988413899, + 13381198027163159364, + 9652575880932220770, + 4731121355196491796, + 5186017490034156679, + 13757041141048758210, + 5886790253882632382, + 16768727676997084927, + 992618148309458983, + 9478390763065251873, + 14542458470304411724, + 18327942159331430673, + 17210907302535971229, + 3869561882696252851, + 3278102097186927344, + 13726899710894636248, + 353028242846732662, + 8944629441830165795, + 11583577876967687666, + 14673641729078076481, + 16085379389795419165, + 15027644305117374268, + 5429320869770084619, + 6284412047215723005, + 18424747693656779452, + 3212563040449790969, + 13359695118236058532, + 356146946553125417, + 15177446365370270512, + 12034336811351019420, + 16775624001350935310, + 4664027661493712447, + 3231136847279844791, + 13419890503618344733, + 7184132692160612504, + 15430795174544068225, + 7384208145656967804, + 15926176974257614970, + 16098503078291243854, + 2846908743415651565, + 7115373585600763133, + 381890712644053756, + 13365795946259970729, + 9744323940136587744, + 2403877938673891629 + ], + { + "siblings": [ + { + "elements": [ + 3268612566533319751, + 4586279301193056810, + 12281739893318879680, + 11856988526452289694 + ] + }, + { + "elements": [ + 40850971656755722, + 16215123335146102701, + 13960547252950789464, + 7907008054964915058 + ] + }, + { + "elements": [ + 15943273873829877482, + 3888903460078502017, + 17161483456469468916, + 15342928200304733613 + ] + }, + { + "elements": [ + 11774046870667501423, + 10288988794679590005, + 18261477604520175930, + 10066541553650961858 + ] + }, + { + "elements": [ + 13504119226128529718, + 6263719354881303813, + 3784857652275963006, + 11351916194491161401 + ] + }, + { + "elements": [ + 9775896498611205977, + 15874927154870772172, + 1984021942997397952, + 4433867954744692545 + ] + }, + { + "elements": [ + 4597629622701121654, + 10300488126998884256, + 17349872048783884038, + 16227419342119434524 + ] + }, + { + "elements": [ + 10283878959839910391, + 4974324876890034954, + 15041594906549762449, + 13838406368850049863 + ] + }, + { + "elements": [ + 4995187134368855885, + 10797377063735033462, + 6620140258099266778, + 16246263159975320108 + ] + }, + { + "elements": [ + 5981450228074611850, + 5783330746397307477, + 949968352788473434, + 13747053016997300187 + ] + }, + { + "elements": [ + 5489019404925945580, + 5401549069088967348, + 15159518847776113399, + 6927065582193495903 + ] + }, + { + "elements": [ + 189886737646689280, + 16925604304625295009, + 2285136434473745151, + 15323277083981291413 + ] + } + ] + } + ], + [ + [ + 9146206420886719938, + 5555929958516696071, + 14609904528751727600, + 8228045795285395945, + 4580930286177401397, + 15751184212250288903, + 767122722035487741, + 15634039866617127927, + 6304930201558263239, + 13413626000477272021, + 2042657971750955638, + 11619151261954227315, + 10869346056864439775, + 12822660886595694764, + 1987067549180273209, + 1570076244747984938, + 4190937094819228815, + 25792925252325667, + 9819752530618049638, + 15619340087219682152 + ], + { + "siblings": [ + { + "elements": [ + 601006641206364534, + 17903206575567239775, + 5835102220594534038, + 15665891649003453707 + ] + }, + { + "elements": [ + 5539011793801727947, + 7193600677082443441, + 9615569471158129080, + 3587392776472779192 + ] + }, + { + "elements": [ + 143166716836159096, + 11953703318189104529, + 7832090170177108972, + 6339918076125702209 + ] + }, + { + "elements": [ + 4844309483613732062, + 1518749903457650221, + 9220536657545580379, + 17046410252724662646 + ] + }, + { + "elements": [ + 6932690892552485514, + 777207308975556373, + 10054174379602413832, + 12229478853308798898 + ] + }, + { + "elements": [ + 15073239443688031537, + 13182503192665532116, + 16401100980316379932, + 4250943817307047661 + ] + }, + { + "elements": [ + 6799571748747627264, + 14889743486724658772, + 638208817044620212, + 4735554745787996924 + ] + }, + { + "elements": [ + 16217845963486863284, + 6802983120475518478, + 7247943951856360697, + 18110974535476604892 + ] + }, + { + "elements": [ + 6043051412890469498, + 10405002263604901991, + 12596673737703248585, + 16123946496053938086 + ] + }, + { + "elements": [ + 13035509368573733753, + 11604782319565473043, + 12789834205235699509, + 14497446726794298745 + ] + }, + { + "elements": [ + 11014234867323681821, + 11137434120345996886, + 10665702645706444657, + 14176104679220346389 + ] + }, + { + "elements": [ + 13596670147127485636, + 14942131961976416153, + 3126707171021821626, + 17176379576200170307 + ] + } + ] + } + ], + [ + [ + 342372458822034329, + 17915663466082287774, + 17814261489793385585, + 15137594881721721940, + 8422636078788472113, + 6564500428321069355, + 5963559083004861849, + 11601891014958176221, + 6646999657713437526, + 15092530991903283319, + 15328180027968216361, + 6103582610859496363, + 10955722366901572789, + 10779317717422022813, + 15803241922229879937, + 17237469047169398856 + ], + { + "siblings": [ + { + "elements": [ + 13646408025147940221, + 16995599057415871306, + 16539031613812479546, + 10103120308167265592 + ] + }, + { + "elements": [ + 16309752108093036741, + 1380755844201655922, + 14377978741311408430, + 18051304201492975981 + ] + }, + { + "elements": [ + 6256384419380101693, + 17288460434760292598, + 6247301066516295889, + 17087322221189880047 + ] + }, + { + "elements": [ + 13038569141628718111, + 7752998344690594662, + 4773300704962567060, + 17818132968780442273 + ] + }, + { + "elements": [ + 3402800469924023102, + 6067801362430182386, + 16290800554552380275, + 4893659819701459631 + ] + }, + { + "elements": [ + 2036934740593749840, + 10711180869870161670, + 12594026092351316666, + 3185763931059811722 + ] + }, + { + "elements": [ + 10070764498309138556, + 10799938505086853514, + 12302008563099118659, + 11376002495905013357 + ] + }, + { + "elements": [ + 4292042976997558891, + 8069288930564520647, + 9915398398881533322, + 14661423453629531715 + ] + }, + { + "elements": [ + 3380455770551766457, + 13643217122591132997, + 18158230518478706494, + 9553247330085016285 + ] + }, + { + "elements": [ + 9843070008383680989, + 12750485216573358874, + 15784477924451536242, + 13524222174286300746 + ] + }, + { + "elements": [ + 9669175716688900671, + 2559406038069127711, + 2155871194706280176, + 12625185447823676122 + ] + }, + { + "elements": [ + 8542990867001722685, + 49555836506660928, + 13490994880740369193, + 6303074364423464065 + ] + } + ] + } + ] + ] + }, + "steps": [ + { + "evals": [ + [ + 10591618214500384787, + 9192380515040435943 + ], + [ + 17579339878384594549, + 13449110927971545362 + ], + [ + 12814132470295099024, + 5270188585860057714 + ], + [ + 10741714596275275711, + 12082561328655271435 + ], + [ + 16771970455260262476, + 10843510036808013346 + ], + [ + 16771132191832445726, + 7328461934357891778 + ], + [ + 2291553624637230995, + 7547097675897222856 + ], + [ + 11199615519579396296, + 14296508814201995744 + ], + [ + 15261264829750685444, + 1078047697861237806 + ], + [ + 3793070060404843985, + 13943159826494105079 + ], + [ + 13044194768171777589, + 4571763600360153927 + ], + [ + 2141250409187705662, + 10267885591989401958 + ], + [ + 5746281183106687785, + 17497262136040450420 + ], + [ + 10041439600502886726, + 3496876134438956865 + ], + [ + 16585130177727795026, + 12293438291330306318 + ], + [ + 3652306958632368184, + 6640409559095867133 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 13865574370290869506, + 4552366217015344813, + 5667059707932207052, + 13645470670807761980 + ] + }, + { + "elements": [ + 16213718713303158574, + 7864259013759522159, + 15857461469189330844, + 4058779841934399668 + ] + }, + { + "elements": [ + 457450791288307401, + 14638147701822469664, + 12623289542192646663, + 6325852091907293277 + ] + }, + { + "elements": [ + 4071549479504247094, + 10926629752058603618, + 12411053517867908760, + 12809130723241284532 + ] + }, + { + "elements": [ + 15941232653108147620, + 2418961763214270882, + 1691305124923363273, + 14735666342553534849 + ] + }, + { + "elements": [ + 7610112157192714988, + 2241648530763258338, + 10857575489498369087, + 14091449510258034703 + ] + }, + { + "elements": [ + 14880007524278083664, + 9348294672540392699, + 3857306329973908449, + 16992206146687956066 + ] + }, + { + "elements": [ + 5609121492058572152, + 802105971492078096, + 15236951569532609719, + 1066084766749140165 + ] + } + ] + } + }, + { + "evals": [ + [ + 15342260183020343766, + 2627317553313072897 + ], + [ + 10398710353140863894, + 10382579130561819854 + ], + [ + 16536479797766506347, + 7375492319307516875 + ], + [ + 1839285265877650576, + 3026191400070183741 + ], + [ + 12871757388803428842, + 9863987397411979109 + ], + [ + 1011805901479424511, + 2242136664481317204 + ], + [ + 320042415194343224, + 239242448370040901 + ], + [ + 15462822749192857046, + 12197724266650451113 + ], + [ + 7653076083110643965, + 4274795065488584030 + ], + [ + 10692850332795575502, + 5726289257000284489 + ], + [ + 12294200003184040406, + 17425416535889004072 + ], + [ + 4325825523534743022, + 12903341244574941496 + ], + [ + 15923106461464414471, + 6901713831475754941 + ], + [ + 7475625174850638779, + 13138896207109183196 + ], + [ + 10994094592736585097, + 959147904607325329 + ], + [ + 4667232991531643204, + 11012833961172236355 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 1605701652557300244, + 6944106353700140203, + 18326292918711083456, + 9229561105170116972 + ] + }, + { + "elements": [ + 12739086414156712091, + 14336936511716616294, + 12055989005033683142, + 418863050320789878 + ] + }, + { + "elements": [ + 1122210890028933193, + 640578318631300197, + 4591099613564303167, + 1089559446388068902 + ] + }, + { + "elements": [ + 12713677414401533866, + 15715912672648245126, + 12660608587267858876, + 5482747281468520662 + ] + } + ] + } + } + ] + }, + { + "initial_trees_proof": { + "evals_proofs": [ + [ + [ + 5372432009938796780, + 11950551054490064139, + 18024948667635951963, + 1032213815648873185, + 5991717668694143263, + 17323309593822021929, + 9996953191501145347, + 5678934756316773180, + 15717345788006878671, + 9724378662461452439, + 1651957222704017442, + 5105505047949316586, + 7778601033616026611, + 2508966425067098369, + 10819502409550544375, + 7420507431335449630, + 899036229250329086, + 17498759627984173243, + 5116848930745982372, + 9597670254687967237, + 13476841734762331058, + 17387595304298701216, + 10521999438443430662, + 15087014172201981920, + 4890638242808419836, + 14686722797001668192, + 14115620758764750776, + 2751012696559791648, + 1159972503227094340, + 4065675565552319663, + 10993371056182973336, + 11842506013570119429, + 8425561954514962550, + 4547580450915695701, + 13242110604499919913, + 7545580745743688025, + 11898339598983931620, + 9068270494068028962, + 3055806219819147009, + 9041903485171377019, + 12901862079327267328, + 13243314749953260957, + 5736062896129349703, + 6000149276388762346, + 7051416314903558725, + 6429954357731508716, + 18414108922010619914, + 11795115980151078346, + 7162176733750028449, + 2814315576857325296, + 16287940614424561914, + 14354967730381516422, + 1610023608067270372, + 6854172608701894877, + 17250273758379874507, + 2936515114315198812, + 2787850494949232376, + 13541022661108415003, + 8239917779061869484, + 3884040012987962448, + 7604270573149803134, + 17637638941741904867, + 16838944971400907693, + 6192776452072634783, + 12630557409132750, + 6166329119432269079, + 7514166456105495876, + 383859906284398456, + 365594734645707489, + 7791509333246206204, + 13066053624373877634, + 17610568608192413375, + 2656920314842985096, + 2344131212393280490, + 17836522691859377317, + 12248073468895441974, + 3689341193387060021, + 15817179588897684536, + 18013389518050776945, + 5413723772767346877, + 3557318196647783601, + 4390886223142484826, + 10207650734024514727, + 11564438399288604173, + 7202954973071314122 + ], + { + "siblings": [ + { + "elements": [ + 10625020027000598787, + 2993695064814908120, + 2573071079417757264, + 11435747631571680400 + ] + }, + { + "elements": [ + 6039632083524156225, + 5333359881377142055, + 7115354956767206581, + 7873979259630610358 + ] + }, + { + "elements": [ + 17405145558531906768, + 2756246135064733461, + 11441813165559021667, + 1447272911914468559 + ] + }, + { + "elements": [ + 4140065862590120562, + 9462480108571853163, + 14092913163184448440, + 2017546136718237088 + ] + }, + { + "elements": [ + 12777175290107694, + 640013457556506015, + 15111259485349166308, + 13604932234537313870 + ] + }, + { + "elements": [ + 17196537994299326380, + 7369988808426644388, + 5116755444898055120, + 10778500972748723428 + ] + }, + { + "elements": [ + 3866138035056201967, + 14555564641110498804, + 12919124761199960140, + 11528861542430211363 + ] + }, + { + "elements": [ + 16039617232466300030, + 8625956110455945885, + 15324968404285543248, + 18361445079039371950 + ] + }, + { + "elements": [ + 5969059809237374744, + 887414025573998632, + 6336313651325636877, + 12307583757739468723 + ] + }, + { + "elements": [ + 10405696897212977016, + 6928128940643789295, + 18210802254095034394, + 1034462431956305680 + ] + }, + { + "elements": [ + 13230347320273168473, + 15124783369975128922, + 11581091687762285785, + 13925220556744883605 + ] + }, + { + "elements": [ + 3129472269596296837, + 11932066556184135306, + 14544554231188818438, + 8642097944927579231 + ] + } + ] + } + ], + [ + [ + 9337696020483722089, + 18210399868639139596, + 1199220420867822138, + 16030685663237442117, + 442776674963370601, + 10591430440996966363, + 17148125531592997331, + 4992122427891314564, + 16911208115424073439, + 7485575117428986788, + 9152853904590948977, + 5711898801998301220, + 4729455371320312227, + 4431691697994642014, + 8557678360476198303, + 4897872889035239935, + 1336850478798068213, + 14141465480942405026, + 4879111220553247407, + 16213487329149480719, + 3059491766989330372, + 18418768475115519144, + 11710626810447519743, + 1497626275492378232, + 17059786741805067132, + 13608653985797554889, + 3605996177385831979, + 18154152641736539999, + 18322599863180583993, + 9736281966583092465, + 6555763247668750821, + 2649233077213652166, + 12473871886283565891, + 14237225487003574961, + 15933941238905183098, + 3434248557557962821, + 1927347274874978186, + 15955800500533343101, + 458262157509720240, + 4193130119782597040, + 9521754042412870368, + 5994066642813865778, + 16393255469430412609, + 746808134838472988, + 8013868403688197749, + 14311431184715251332, + 11477897969149150283, + 11908801356930651728, + 3727252497572320174, + 9482384637893720489, + 13648910242599101071, + 7854280808798110226, + 17752270317418971623, + 6177250249285406408, + 5412034591526321074, + 1523124313220354468, + 18186764256879996121, + 14602159805275584488, + 16101325031438686939, + 12439430467184235800, + 5408421689923555830, + 11149429403389566783, + 385554299821059050, + 14546018548501217436, + 8553972494169973397, + 2533943172931466901, + 5986044591310949124, + 887985804726190613, + 3307482642806565232, + 10357579195654523260, + 11846241436698895959, + 8167664161958797695, + 16815162213760310756, + 14189828065389479361, + 10454503377002388767, + 14188590390112094664, + 7352883328588417023, + 1317195744576505763, + 15624116858623461486, + 14235722835791893635, + 15716895147388718398, + 12750799613329323821, + 1090474148878454469, + 16451917693497929134, + 8367899171397131286, + 8900235283897228708, + 13211989921667137423, + 16273290682334861800, + 7073345755636344635, + 17082152065409246258, + 4220595127389194790, + 7009843682144985479, + 10184006237323109751, + 10245432558683488569, + 16583185445232006179, + 9007922717415932232, + 10812820648808402327, + 9889296492966100756, + 12361748762830405494, + 6282016846632922726, + 2848498742694228284, + 15414438077077116367, + 15868672288718719082, + 17997406834208017030, + 1503237173574436107, + 11861009372208875831, + 4876690940099000129, + 12311880389380510220, + 16680172608173096559, + 16177683166181454116, + 12829177040867168134, + 9049747871905566529, + 12333741836668419947, + 10521588336347569233, + 15668394737100951710, + 15615986494086273869, + 17686959379442906120, + 17542276362130977904, + 14021880829545221807, + 9503514345896292650, + 16927926375250645280, + 10741096817141373751, + 11020721558840883016, + 16512722552992592114, + 9486266770454068544, + 10033675936576244304, + 14305549991916076049, + 6316192721971024829, + 12864466318421314043, + 8638630550460637629, + 6782175115524557454, + 11860987127927093827, + 2718849968442395262, + 168252605690350490, + 17593509474181890493, + 7299156614013216559 + ], + { + "siblings": [ + { + "elements": [ + 1097194386666529046, + 11815868969623963388, + 16067254912144603684, + 11526892740831530792 + ] + }, + { + "elements": [ + 17236880326888144408, + 9728298079801850776, + 13902399993907788586, + 6255599644620019682 + ] + }, + { + "elements": [ + 6898145937558846339, + 8650403840106552925, + 11057943324338330624, + 441322519506859552 + ] + }, + { + "elements": [ + 14897616783540915603, + 9581997292106016138, + 3157050634461984885, + 11472077281377522910 + ] + }, + { + "elements": [ + 12013188405104231077, + 7199566966725757669, + 16714939068192068658, + 12584602441592004243 + ] + }, + { + "elements": [ + 14520393727988317475, + 11003683495145059190, + 7751403345673146657, + 9259383410682078358 + ] + }, + { + "elements": [ + 2966203315269085149, + 16240964089198670326, + 17234070678011281660, + 4532389671394727179 + ] + }, + { + "elements": [ + 9950480982790381316, + 6840581440326224563, + 15615400345729004313, + 7854794582139836814 + ] + }, + { + "elements": [ + 10290303827033949315, + 7019943169149012906, + 16201058166994936567, + 11312331699006873900 + ] + }, + { + "elements": [ + 4200818033199703075, + 9873208683839497426, + 2262702898808598268, + 13773904085609313282 + ] + }, + { + "elements": [ + 13962863812278865847, + 8279494143663727016, + 15812596183803909541, + 8684955621379537028 + ] + }, + { + "elements": [ + 2116805656298481905, + 6030292501657562327, + 7193932424194211663, + 2157014502630791010 + ] + } + ] + } + ], + [ + [ + 14938297014108450100, + 7106948089513340607, + 9336052688589564459, + 12640939128598399763, + 4084686564984276929, + 9419074436970713451, + 11251155121203580196, + 4872779973294096329, + 3679267598776808599, + 11210464922922718791, + 13145897673820053377, + 6001290123201503022, + 16419687078033640787, + 12243725172937301903, + 4942970322747188936, + 10929066388629409624, + 15083711641273538771, + 6126396582401491785, + 10205238057333085244, + 1988168784870157489 + ], + { + "siblings": [ + { + "elements": [ + 8432353913525457617, + 3906217939494966421, + 17365559031951054059, + 9233044289028290395 + ] + }, + { + "elements": [ + 6985879178015804592, + 4576483210283553566, + 16628293500981885918, + 8191775199656599554 + ] + }, + { + "elements": [ + 13505835732447139111, + 12519271837997266665, + 14418052082265521505, + 12894252473341428452 + ] + }, + { + "elements": [ + 12857125354875445959, + 11844279256211340008, + 10421262555378845652, + 861889047219646036 + ] + }, + { + "elements": [ + 10398842648110036893, + 10267552297899172391, + 17964477880741669569, + 1390029016536243747 + ] + }, + { + "elements": [ + 10981370320579825, + 12804022821115617921, + 11905786032153779670, + 16203528208897007951 + ] + }, + { + "elements": [ + 2532508620671549691, + 7072236709989321118, + 10945171119841387356, + 4100738060669962399 + ] + }, + { + "elements": [ + 15396562309835922970, + 10587769271729272759, + 17428886887888646265, + 4392716761330281592 + ] + }, + { + "elements": [ + 9566390309641181913, + 4478126683670148096, + 206759371846148344, + 6185491644774479216 + ] + }, + { + "elements": [ + 3534576673341362595, + 8713861682538188595, + 10891348367390441340, + 17440234169131011865 + ] + }, + { + "elements": [ + 10538213335638330190, + 1449772316820847554, + 6527397458494374207, + 10102720252796960233 + ] + }, + { + "elements": [ + 7773476395299796230, + 11459733574739455145, + 3146418292262787765, + 1174900927742869138 + ] + } + ] + } + ], + [ + [ + 18216689269312017122, + 2763074159416496210, + 17965888464469311083, + 1590880144192336114, + 3970973312931722896, + 14044903161317529379, + 6513054889323403999, + 1696220713867020173, + 3063761817327744381, + 969185416237928203, + 15390976196540508625, + 14878781504276499066, + 2510647696580118501, + 7488514554359231902, + 5214983800667705057, + 4722731625460570358 + ], + { + "siblings": [ + { + "elements": [ + 17714334788208906864, + 1232283398445607245, + 16764804026100374278, + 5450345518871046082 + ] + }, + { + "elements": [ + 15467339425356980458, + 10957025478198230545, + 5723631996597591672, + 81430675904864789 + ] + }, + { + "elements": [ + 14370952294243322690, + 781487410521480231, + 4064185517762864150, + 16561583905531471302 + ] + }, + { + "elements": [ + 8670232397940214440, + 3459045660054157946, + 1326360827702566011, + 634728607444491383 + ] + }, + { + "elements": [ + 10298772480379739676, + 2917051592953060163, + 18306721263053342597, + 10518036735242841557 + ] + }, + { + "elements": [ + 6659895165399898176, + 6699360335259911470, + 16470958801903541061, + 3485874081668894020 + ] + }, + { + "elements": [ + 5766717465189715233, + 5042668484592385021, + 14674304579800536287, + 14973172526320480062 + ] + }, + { + "elements": [ + 16535639703927789199, + 16342816929725898666, + 5355898568547811362, + 18305745903821283402 + ] + }, + { + "elements": [ + 4212594723866959940, + 11220456400916872043, + 7007536858938436297, + 8543726918355009415 + ] + }, + { + "elements": [ + 9492286957279781157, + 13693863185676747887, + 8262192848867677668, + 8834743164825468562 + ] + }, + { + "elements": [ + 15784103209023560455, + 917458676842475359, + 6467902700270657712, + 4637707740586594848 + ] + }, + { + "elements": [ + 8349473818297874290, + 16281116927637732647, + 13209535028028585403, + 16698184662938543456 + ] + } + ] + } + ] + ] + }, + "steps": [ + { + "evals": [ + [ + 10319014247230668641, + 15916662750028480694 + ], + [ + 8853726773850806434, + 8847575401176361499 + ], + [ + 12732360034627746207, + 15767329479334800564 + ], + [ + 420396733196716772, + 12091419231735216002 + ], + [ + 3871743750674181324, + 14711842205312289680 + ], + [ + 3751745902699552486, + 8182657643524351423 + ], + [ + 9825538861766178000, + 6631316853347381910 + ], + [ + 5691607057460126971, + 14381489803649991085 + ], + [ + 11276711456920823401, + 4119021753037030476 + ], + [ + 8009094153076848309, + 14135765863396908805 + ], + [ + 16686026915930304849, + 11758653240346960365 + ], + [ + 11944870344298327570, + 5390238778121513415 + ], + [ + 12022933222652735300, + 3992683345918718481 + ], + [ + 9665935185785515661, + 18407160273308369997 + ], + [ + 4286542867099394452, + 14223027223983073373 + ], + [ + 7206763162031905575, + 10273528428704252531 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 2395092014683450915, + 17918162268321978446, + 3166858771822170089, + 10547694769997057929 + ] + }, + { + "elements": [ + 12804057113621733707, + 4159315778150124236, + 4253026518627699663, + 5673800035086651528 + ] + }, + { + "elements": [ + 13103611550710314930, + 802237773403183972, + 3053522469111760654, + 11096331319625117834 + ] + }, + { + "elements": [ + 17158294982399270914, + 14493957183937672477, + 6261885069872846809, + 3794737135318663169 + ] + }, + { + "elements": [ + 16959077482866074850, + 15415728687162913806, + 5123423677815114996, + 16224593780124345997 + ] + }, + { + "elements": [ + 18244593713100024426, + 13230794950816511944, + 9200326354704398524, + 16820401612100417057 + ] + }, + { + "elements": [ + 13638515555469849518, + 16898128270333922327, + 12934408955187412903, + 16994755090542204135 + ] + }, + { + "elements": [ + 3693030296803229657, + 1546429583533625583, + 18277023657017815242, + 12092583526579463931 + ] + } + ] + } + }, + { + "evals": [ + [ + 7753722289826348719, + 10697746129667247536 + ], + [ + 12537093494030492326, + 9791721052543144850 + ], + [ + 1489075567400666286, + 11059627550294242590 + ], + [ + 15965925687212231563, + 3467521752491153461 + ], + [ + 12125878574106517530, + 8453265876166868936 + ], + [ + 7947104878184835784, + 2694396638216800720 + ], + [ + 14526839317216395320, + 16830455310985936334 + ], + [ + 16267499611544161875, + 10047988586882043054 + ], + [ + 6668960631940503942, + 11947808003776086862 + ], + [ + 7856846900684403802, + 6900630860742795176 + ], + [ + 7927457752311197761, + 12694115236094881336 + ], + [ + 374262662295238063, + 10704544713261760740 + ], + [ + 4778531851431367882, + 11362042301662965548 + ], + [ + 15781807171363842311, + 5789367779366820711 + ], + [ + 6058838490652359013, + 2971105879314802049 + ], + [ + 5270621692086637551, + 12942744644433288786 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 17136487673980779960, + 14440243075852645607, + 4882669851645208834, + 14029308443034520470 + ] + }, + { + "elements": [ + 15369605527638698960, + 16416191736815974110, + 7594399607406471785, + 12694740789485940716 + ] + }, + { + "elements": [ + 12026402712219481537, + 16342981138646374639, + 6895882965645952558, + 16614948500209558543 + ] + }, + { + "elements": [ + 2335048346369420885, + 15976490571400337076, + 14462229848864597183, + 16304418936052947334 + ] + } + ] + } + } + ] + }, + { + "initial_trees_proof": { + "evals_proofs": [ + [ + [ + 18253707981227225306, + 145707198688195951, + 1434248317715142189, + 10895124591555820153, + 19930265182547645, + 14257733162106272604, + 7147090894338365224, + 10085983451816400404, + 16110830328598036344, + 4909106870040576830, + 1318206302488481967, + 538461361164715864, + 12973410659844664793, + 4229843316076734792, + 15913578823027447529, + 14849691518243457153, + 10465019573287921499, + 9596640816520211114, + 9499873724829747398, + 5572757108754583830, + 10005978926637660078, + 4004105203272313496, + 8266847198275688853, + 11042028161450615011, + 6916432064821992587, + 14839453925835489123, + 15910190696693614451, + 18340961961372769446, + 16297918408929691000, + 16237716103918328459, + 17353302095986419100, + 2381955004894831263, + 17256571548289506162, + 5372773005948503429, + 17129486924100582918, + 4724986423738211684, + 558886808522180390, + 8024265766764500600, + 13665554411568560217, + 17345707248378226695, + 12585611852906198828, + 4282316731697120193, + 10965031417474271541, + 6609741232732677826, + 1934505754049776507, + 9665956822658077678, + 1850096957802920498, + 11481823335628365757, + 5834169372992750872, + 7291000680286291619, + 13222587838826068523, + 989692963491487021, + 14170756342551801840, + 7798330288318440698, + 5387885302835806867, + 9981749023408284190, + 7480699751778829189, + 3264414415636944002, + 15641380008099152679, + 11811279040632816203, + 13407326615591446190, + 11099046008842079195, + 14926434012315056057, + 1107249537739183725, + 11091466385660662251, + 17398875015366479685, + 13165330425272383957, + 14821589365780513823, + 6164117721204242745, + 1686292108977238596, + 7207056369992007252, + 14254021367101679013, + 9798274790079089595, + 18157777863182250972, + 14312179505257663067, + 11870913339660980804, + 2219965544283625926, + 14013724151518427188, + 5510733618125497851, + 4494921613827996366, + 11352247875710994147, + 79773474538324562, + 13960197275388316872, + 3359095407417856011, + 12324182784132002397 + ], + { + "siblings": [ + { + "elements": [ + 9948956140548863173, + 3867737338216773099, + 15308175489106106369, + 12831608305359440798 + ] + }, + { + "elements": [ + 9929174233012743754, + 14111723678233968769, + 61655109670940194, + 9441437730196965628 + ] + }, + { + "elements": [ + 16652315755673127107, + 18250762447995373601, + 14167591171428882130, + 921911056512454573 + ] + }, + { + "elements": [ + 17510345071012726356, + 11767347523123606861, + 14645740816590405137, + 7949212920492650758 + ] + }, + { + "elements": [ + 8435446325379949153, + 11736042142859295987, + 16067998153486530865, + 8816734263801440147 + ] + }, + { + "elements": [ + 10407283831005456143, + 15040875594811309686, + 5259613087847080684, + 18135137968405965399 + ] + }, + { + "elements": [ + 6556179374253342912, + 11246227336209694668, + 9885074759707631679, + 10822776482564983567 + ] + }, + { + "elements": [ + 14717538211642871232, + 6409368042979953796, + 15527521775368644792, + 18059516176171613650 + ] + }, + { + "elements": [ + 561961697161564880, + 3461506692533827057, + 12483632104048249330, + 2609848259606928904 + ] + }, + { + "elements": [ + 13298221057311946162, + 16447984712429945542, + 8974100740721845171, + 12081774110429281656 + ] + }, + { + "elements": [ + 2584249981222496765, + 3408431162597226774, + 4205656890991270876, + 7301729495246173192 + ] + }, + { + "elements": [ + 2596999597840010996, + 15009414361948792897, + 5324498810434976231, + 7900029742496640833 + ] + } + ] + } + ], + [ + [ + 1804884911713204271, + 12237470298012056197, + 14030103569715058733, + 6194417205023109130, + 13713944786322658164, + 17208592989045602926, + 17744256649202213853, + 3777851306075602608, + 599518463067907737, + 12038606367508719735, + 7155320802666402773, + 7680076054539925812, + 3503213264891903330, + 10756053957849078532, + 15162547026433342576, + 6961144521524817796, + 16589235855009205277, + 10726050735360474776, + 1234045268226692416, + 2726510398864591447, + 7668045856231256588, + 4995477544118480487, + 7022308958378105088, + 1702549212768210806, + 7453604091495726375, + 13092245608908645617, + 10020904529441690481, + 2974105059705920709, + 14649623689658676834, + 15620019184512353743, + 14089377278588071345, + 3396294565718537914, + 4402457966354855377, + 960367618163790074, + 5418423743991306936, + 16796076705780345852, + 7469467509740968984, + 7732896401670210513, + 15596038722201538853, + 3591061619044580705, + 7253658411021688684, + 6030211621760349557, + 9463266732812928517, + 1989267463174285937, + 119714342397307388, + 16230406981318774818, + 9923166660183651593, + 361915646128718061, + 4559979854553065235, + 13124672895750353402, + 17577013458674997670, + 17073073872562478860, + 16579702344803547366, + 14405422970005648674, + 1244519438978768250, + 4838934042093535363, + 8034089487251220766, + 13422425357423849486, + 2300885538738380442, + 8044834217621532819, + 1412784138701060618, + 11415109313408195250, + 15113282166941588069, + 17871044155535964582, + 17153652426181545436, + 12002453644471141070, + 15225534741900342639, + 10245358351691966499, + 17664143325057650593, + 1307573503651662796, + 18047999760429497027, + 11345092562084300135, + 6162880201201686673, + 9534007695115353228, + 4977617107989754741, + 10133946294595903010, + 6422578271085544503, + 8043362875812648415, + 5293717740111928076, + 2909443021667698260, + 2379182307902140206, + 15705105355616601900, + 2427441922684265103, + 13690663173988001475, + 10589216344481105289, + 10529400228350179641, + 15695893100181406897, + 17906006944652519513, + 15773664870870481171, + 2651863600799845486, + 4045723309246644543, + 9347531323624678433, + 6574529177332825604, + 14030831233086309024, + 11094145074208665325, + 18099675921914729364, + 13256583411682068456, + 9131335570689126260, + 14565700777462924944, + 17619868586747759955, + 15596638937390904516, + 14965117825210993589, + 16955229438892001059, + 1981677103298630093, + 2396877813926605682, + 12296417268558514086, + 1026328570162243575, + 9866810191333304962, + 17983412857839402451, + 13268585924014996659, + 2953280045556204387, + 15624915197425148546, + 17673521726997006808, + 11272571041278691280, + 8253715396917031171, + 1459159927485264566, + 1035283611235401073, + 4119139632619676377, + 13367584103204004978, + 1608192207511309174, + 15628580767855113500, + 11875322269986181518, + 12124652072192578494, + 412858322801954784, + 10388428114536081415, + 9917424715386731958, + 5454163907303643318, + 16934422586982309256, + 11044052107307597709, + 15520668363062127361, + 868685067707669834, + 18044533331050720288, + 4626749624135473997, + 12552190766149620754, + 18048138668570691409, + 5951123974653546880 + ], + { + "siblings": [ + { + "elements": [ + 11237491354546036588, + 2815330278310130935, + 15839668571805037202, + 10397647321588001702 + ] + }, + { + "elements": [ + 7289900367872010312, + 6591333986129162498, + 1075997792969713533, + 11637718833670905781 + ] + }, + { + "elements": [ + 8366564503817089207, + 4146243879004072254, + 9015993600566253894, + 3447894831991348345 + ] + }, + { + "elements": [ + 2535325952117785730, + 5740602590943738887, + 2631359834487152017, + 8961468076037611689 + ] + }, + { + "elements": [ + 2578146824234631345, + 12136826729783562226, + 9575659897451073134, + 6910238359484281838 + ] + }, + { + "elements": [ + 5554137537487260408, + 16923280733800683026, + 3353357556125306918, + 16071387490236753516 + ] + }, + { + "elements": [ + 6429293361155011460, + 11100204031723005417, + 15137189220138927161, + 1806074760172558667 + ] + }, + { + "elements": [ + 12797704078248736473, + 379739310321936774, + 3995244142866153234, + 13170952943534670301 + ] + }, + { + "elements": [ + 7090795217857963206, + 7564690086704575693, + 382313697170890020, + 691757735910596856 + ] + }, + { + "elements": [ + 1886110682404075105, + 3432106462876919950, + 1059996500276786320, + 805524812652522038 + ] + }, + { + "elements": [ + 11131366230848280483, + 15667664206600967025, + 13669152693643953335, + 11927967930456559283 + ] + }, + { + "elements": [ + 4584642079078042894, + 17020004645201438936, + 950265219369834723, + 16719827370376346711 + ] + } + ] + } + ], + [ + [ + 7904235057659623424, + 10977838585523758451, + 16273945831064477377, + 16039963119935347600, + 8095142250694690487, + 9539189873300257830, + 2222356107279496206, + 7992495096552011246, + 11735512994037528705, + 3529178402082872365, + 13255021423923685979, + 2479848081253605710, + 9216330703692349528, + 5119066300229194988, + 16481100646390387721, + 11556721220754801111, + 8001757660980133565, + 13333155713732865060, + 9964539277339341515, + 10141765835831743675 + ], + { + "siblings": [ + { + "elements": [ + 8214805579515581671, + 11858437085251072974, + 14649604355708423152, + 1193248479949581837 + ] + }, + { + "elements": [ + 3387574372403251990, + 15607236538148062023, + 15725654783035899751, + 11746419359520914809 + ] + }, + { + "elements": [ + 14410992190994182856, + 14051167320586946214, + 17904317907121300533, + 17015290545047857380 + ] + }, + { + "elements": [ + 2027161714703561216, + 10263233731041093846, + 4583588879604564722, + 12220993355927984819 + ] + }, + { + "elements": [ + 7062400810221111178, + 8449751308693977626, + 2868278263269429009, + 17503115941694571680 + ] + }, + { + "elements": [ + 9778918766163852995, + 15977187031866261760, + 7618889776489942473, + 14944342618879369590 + ] + }, + { + "elements": [ + 10597058359187510025, + 1487764904890530186, + 11934509908665075144, + 11286449838904294014 + ] + }, + { + "elements": [ + 14097507792148303399, + 15497007065699901905, + 14764194259599230531, + 11468258520018518132 + ] + }, + { + "elements": [ + 13976100632177737369, + 8406279766348215200, + 12630600352306922571, + 14411474351710119239 + ] + }, + { + "elements": [ + 2688716894243604982, + 8097769962953095245, + 7200234787269246973, + 15688585174236916733 + ] + }, + { + "elements": [ + 6123955356799780434, + 5590226339040001212, + 3597337329260365364, + 7940808150332426178 + ] + }, + { + "elements": [ + 6510770677351898155, + 8241776915697370786, + 3537682951052313571, + 4489255157186523453 + ] + } + ] + } + ], + [ + [ + 3715949275033080730, + 5631961810233998327, + 2259564247569222787, + 9413001940345776907, + 8337576535563196592, + 14475192381968750193, + 5832649565829939385, + 4847736975417893256, + 10645825364573572266, + 1140098959383697964, + 9173413823156083424, + 7562728073076722008, + 14951146147797780904, + 7313369541173621822, + 14143071018411608708, + 4226361775303132930 + ], + { + "siblings": [ + { + "elements": [ + 1130232815457671093, + 4696200910277948087, + 14201034958643513940, + 13140408907086825194 + ] + }, + { + "elements": [ + 15459686796832848816, + 6205142001603198026, + 17403893217063181478, + 12156609071442871730 + ] + }, + { + "elements": [ + 5163497403735602182, + 15028522407382404078, + 8441685908426740337, + 12237591616662078228 + ] + }, + { + "elements": [ + 14286001555629773216, + 15110562882864923659, + 7061398752390727909, + 2993216453780254834 + ] + }, + { + "elements": [ + 8577674225615794608, + 6369695165278234924, + 7161232705742671450, + 93756990087998087 + ] + }, + { + "elements": [ + 15379652994724173695, + 17897241634851307382, + 540320637094275344, + 8874296861124211907 + ] + }, + { + "elements": [ + 10010202411708679449, + 791135090011238539, + 3416269956419171069, + 16160738828877718307 + ] + }, + { + "elements": [ + 8465517186253072335, + 10383056495484061992, + 78316670320479771, + 17935862437795336915 + ] + }, + { + "elements": [ + 12716329025607761633, + 3791145650686719282, + 16043456785649104375, + 17433977031023853285 + ] + }, + { + "elements": [ + 1355610392926555972, + 17380062940815256424, + 15588199424786992387, + 15427152335116703032 + ] + }, + { + "elements": [ + 4787646413546710333, + 3981240863959757474, + 826122322235394734, + 1391637237530274763 + ] + }, + { + "elements": [ + 7552820929544409805, + 5652503511486196874, + 4127026516582423726, + 3444493367320435224 + ] + } + ] + } + ] + ] + }, + "steps": [ + { + "evals": [ + [ + 15334295356815101311, + 17028340680047932363 + ], + [ + 12350126231008834454, + 14604343356342396993 + ], + [ + 1832576380816584375, + 9270558810845250165 + ], + [ + 9008754674783465619, + 11042893673367735422 + ], + [ + 13409144861578681403, + 16000043434691614961 + ], + [ + 14106119178832574601, + 3323215538743873170 + ], + [ + 8124656913809345169, + 8805170278851750840 + ], + [ + 581281775597405453, + 1411448606341678934 + ], + [ + 9226693427227075624, + 13758486405676588257 + ], + [ + 16135397686827075745, + 11368294635863202322 + ], + [ + 8702816023214713680, + 2956489161704500643 + ], + [ + 3647149842622009950, + 14115518190387413979 + ], + [ + 13101234309390786023, + 8280582388079888659 + ], + [ + 10786647915765447668, + 11412215980085911929 + ], + [ + 17618008702979817472, + 13828409097161906662 + ], + [ + 7151985738149710457, + 14804308370497502431 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 590546293795684752, + 9385349825365123052, + 5631519424660455662, + 17963498880021669850 + ] + }, + { + "elements": [ + 18362592805198185342, + 5739378175672757062, + 1839663643240107923, + 776477200830418767 + ] + }, + { + "elements": [ + 16549993527739415923, + 9827084472487300267, + 7719789690143272584, + 11646828319928535712 + ] + }, + { + "elements": [ + 2309395020699326171, + 2574409792757847414, + 4457309497013634824, + 11544304416782282877 + ] + }, + { + "elements": [ + 15756104694577133599, + 4949139555398853947, + 12421699862113293273, + 9705544601430258888 + ] + }, + { + "elements": [ + 12304441588675929657, + 15248966803564683602, + 4595637435692913990, + 5542213012686690660 + ] + }, + { + "elements": [ + 14359987545444408449, + 7490234655199698283, + 12914515467539642914, + 1274442927664972386 + ] + }, + { + "elements": [ + 12250556004450906942, + 18000135097101378710, + 2677331551488581950, + 14578625963141242658 + ] + } + ] + } + }, + { + "evals": [ + [ + 2041691072236560609, + 13314914918099703320 + ], + [ + 14801883433309286553, + 17523392508530038695 + ], + [ + 7316952669716176014, + 5733398394938157871 + ], + [ + 4284197753869773036, + 6567276050716157161 + ], + [ + 16094227698859899184, + 6645748291482495009 + ], + [ + 15698635850499053919, + 9482764074367850936 + ], + [ + 720130766131408868, + 4445636378184334034 + ], + [ + 18443048631416092638, + 14949218359397355939 + ], + [ + 43987547410479938, + 2998260705612355417 + ], + [ + 7699491298838646374, + 8645677616276974195 + ], + [ + 8788419796304413635, + 7585891792766011530 + ], + [ + 7756795882453137895, + 17451127426435689938 + ], + [ + 8974198375934975624, + 9144697525946372350 + ], + [ + 9926129175989297309, + 7981324225965873624 + ], + [ + 9590877148527227722, + 17285239523008421994 + ], + [ + 17415572119885426474, + 1604998858176693293 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 3122824995689931450, + 7291138902855547802, + 5757475551753644139, + 1818149573027192260 + ] + }, + { + "elements": [ + 15394063741445826034, + 8902752016425305492, + 1525986394630981537, + 1974220935826836920 + ] + }, + { + "elements": [ + 8465789849314565465, + 10547767769896955295, + 4988110630016362708, + 12105004768757166299 + ] + }, + { + "elements": [ + 6172340464264692440, + 10050000602895435465, + 13320610604552809513, + 12880574904574335052 + ] + } + ] + } + } + ] + }, + { + "initial_trees_proof": { + "evals_proofs": [ + [ + [ + 15137892428867867897, + 11416211286524465611, + 12816168754218906931, + 6887995368658918, + 17635796416296050145, + 665797462926746031, + 18117730849162896057, + 16071269091677834954, + 17980883560456195473, + 4586925829630733352, + 17737259435265446930, + 187842928303542569, + 17857626074983536144, + 5539774479689595780, + 17443144616911623743, + 7721131679509027883, + 6557074605037251633, + 18124358338567493830, + 1793122737003783160, + 11057741309086589242, + 18281406791599369683, + 320555345172134178, + 2659490170436268454, + 16132323988160568283, + 10854780365757333073, + 10682261801249425882, + 4946076116785129108, + 7416178596950660899, + 7458504080815213886, + 741288682877857808, + 12611904780663691173, + 18340624470022223844, + 615052119851017028, + 460296835592928620, + 14585632287954006726, + 18050111837647149685, + 12489093429350923863, + 1598486568260383435, + 7786876140028596082, + 16107430791307350089, + 6963072545532034643, + 16699132696728934208, + 9497081263364837247, + 15040079763399383374, + 6135818305191359338, + 17161751446418938925, + 18397256456091526986, + 8746279729633245928, + 1326330056410963927, + 7496731050245882528, + 12505887417716714630, + 10733395865044042885, + 10213005893777772030, + 17623178494123772785, + 792373059547368839, + 8152581402267762125, + 17609532018509056705, + 11654734068484386624, + 6329392803741647444, + 18272994120938021480, + 249748447106848608, + 2239624529819769773, + 389510818088431364, + 11383415941789117695, + 9666076816696007636, + 10819223152761144102, + 6796424106710906673, + 13556583615653711915, + 14163914246297795457, + 17691139048441414518, + 6434679212741085133, + 10923276658274351760, + 10247724755361891688, + 1591438523195242523, + 14222217881623510370, + 3554811675700822253, + 705177129064414223, + 15696563707706248553, + 11597968122503364095, + 3911260861975491076, + 9215503357736860896, + 14080809354891899712, + 5095143873820972847, + 11564995276116424425, + 351442455588576361 + ], + { + "siblings": [ + { + "elements": [ + 10682221445647072882, + 9432860475554185100, + 11280659289878849038, + 15013866784119833961 + ] + }, + { + "elements": [ + 710517510842894768, + 15752618765883862567, + 18202331773795097117, + 12628391034192953189 + ] + }, + { + "elements": [ + 7956141281912908998, + 5591561109743020453, + 11070389528832218234, + 6611732905596394881 + ] + }, + { + "elements": [ + 15775895383229224481, + 9624371949146942735, + 14615476461148682540, + 2188628242736069610 + ] + }, + { + "elements": [ + 3559497125599117436, + 10532130513902045035, + 435789500429510250, + 11988449520319831424 + ] + }, + { + "elements": [ + 13586852981574377190, + 818713592205017082, + 3545120986917522601, + 8344744699796876368 + ] + }, + { + "elements": [ + 328319594491319906, + 5147242864606026639, + 4534426927287445124, + 1894382670019339401 + ] + }, + { + "elements": [ + 2398414939620340718, + 8855605240950861769, + 4266888151888341898, + 6621522433237026311 + ] + }, + { + "elements": [ + 17213821715570338192, + 18021567450766445657, + 10920380393422151838, + 6957683613069203704 + ] + }, + { + "elements": [ + 16764714268955634597, + 11666753499051351422, + 11085905497761071544, + 12333236383936217891 + ] + }, + { + "elements": [ + 2207143387171099944, + 17065618535101600051, + 5266260150205833681, + 5186957697492005504 + ] + }, + { + "elements": [ + 2596999597840010996, + 15009414361948792897, + 5324498810434976231, + 7900029742496640833 + ] + } + ] + } + ], + [ + [ + 7343191334601738079, + 6006885266401432170, + 4635998124161518810, + 2543960057306577226, + 9950069449520919156, + 15576561067920065444, + 262367331384179, + 13079404264488716601, + 8100363359675146306, + 8525426160234240719, + 18003816109487283116, + 12534614412378461376, + 3118072705250978575, + 392350003487177093, + 11066581920596146606, + 15220119142530057294, + 917555383470720654, + 2456590905296505290, + 2013827780062181725, + 17770759726040730723, + 8421875521737490389, + 17213749815485936063, + 1438426512944885912, + 12921152110200508432, + 16171808234270495126, + 3723437948551809609, + 4860323645820723797, + 3554803464355897432, + 1861387548522809085, + 15583550325878920806, + 9881215041493703009, + 14891466869653957031, + 14230149088443311423, + 7502507949804972726, + 15605343580835807891, + 17234547899875651858, + 1383941647122168715, + 11221053616447467385, + 5790430787127832474, + 6147889252607919904, + 7216928037355035353, + 4042551830892048491, + 2346549330894482684, + 9059998131970285539, + 10340299985504497754, + 12335424595258766659, + 4160003665151848311, + 1503872055912641060, + 8356899484927705430, + 4892701051951863124, + 4124046223222445592, + 289916992692395882, + 9681561233019239361, + 18061308383377450653, + 13633570783335256485, + 9037776192908107195, + 16940923247801870684, + 8548354543569416276, + 12667019070339187905, + 12862330898229293935, + 242996926561042251, + 7856741055953852282, + 11100011133363664713, + 2674665866597272817, + 12619782123116669367, + 10875044159922928594, + 16453641066374109243, + 4132796233413559943, + 10770476438833909654, + 15911484515552893307, + 4140892007657004795, + 7617687449159606430, + 12804276980688734590, + 9219826701814390463, + 15160006231144212303, + 16142600069150814799, + 1947570563845485730, + 6921866455668083583, + 7488550198420314870, + 14338253376845606500, + 3500519663893270513, + 11820321125502983798, + 1835561717617744037, + 5206974917987694207, + 2634632539947200164, + 8915848941892785206, + 3399450450128616287, + 5016773493052920143, + 17623590471926409800, + 11809389727359214532, + 6468477341256451673, + 921871923689424450, + 6887226323417117453, + 10287578743588463179, + 12101385764599512416, + 8239201911010848590, + 13045366061450209066, + 4319808733043394597, + 10737049883754161906, + 5963693803793115915, + 4039612928914726061, + 9808887593421763833, + 18108459588435015329, + 3945790145546314403, + 16778204345080260125, + 17777649077007306795, + 1613248060254327696, + 11049225961515200699, + 6097222861657169965, + 1432908782506810475, + 7201046173575385199, + 13335482762904874964, + 18334653098400602117, + 16660670356249936223, + 649546939662128992, + 13930135268003680510, + 17376697029105192463, + 2290033893379595816, + 4908074596476412320, + 4706582434469253924, + 7399688837181113357, + 14475879091469011291, + 16657380436048442172, + 4561442062958549036, + 3644532599140746722, + 6829535007882004598, + 6875526946400842099, + 2152516927721161573, + 14089600336115123472, + 6437206603198138307, + 13692128907840709293, + 2871476648325835447, + 1406556046966489341, + 17198581763639607998, + 7216154466890870021, + 10192290608397283190 + ], + { + "siblings": [ + { + "elements": [ + 1982002843515187129, + 17759936565826879372, + 1908457380831132410, + 5821397906440039695 + ] + }, + { + "elements": [ + 7602259238605764458, + 1698711481430294146, + 10225468889151518713, + 3368420223769753640 + ] + }, + { + "elements": [ + 10559059190236024526, + 2243539381716181683, + 5765176595517872302, + 16070568804102535702 + ] + }, + { + "elements": [ + 12538528293753212493, + 7193148072303748412, + 3224008730663523643, + 10322354659591218081 + ] + }, + { + "elements": [ + 13792890849173852186, + 17718637779395838406, + 15025565020175347350, + 11155566362799693015 + ] + }, + { + "elements": [ + 8853697336284158081, + 5855747250287444580, + 16339448629954909977, + 88458661927150673 + ] + }, + { + "elements": [ + 15455020001735446866, + 264687677224511540, + 1849499250240742336, + 15996762707600286457 + ] + }, + { + "elements": [ + 9315801003338830291, + 1112560584649080238, + 3500730312989434791, + 16072138130949004345 + ] + }, + { + "elements": [ + 9654075883130893085, + 5757702106411431167, + 1021267774138988547, + 16551036770568709200 + ] + }, + { + "elements": [ + 6711346008096987914, + 6635758122284830174, + 12759417692795691648, + 3967713015398388418 + ] + }, + { + "elements": [ + 181609089157601195, + 9996509301792058797, + 10828658567243726641, + 15051201196051776132 + ] + }, + { + "elements": [ + 4584642079078042894, + 17020004645201438936, + 950265219369834723, + 16719827370376346711 + ] + } + ] + } + ], + [ + [ + 6893078041710711368, + 9738075733997529944, + 17999871889671644885, + 14440468313968190313, + 8803534641720724569, + 11882753517424959401, + 9588577918891109764, + 6557092639999362126, + 16419409894239508903, + 5739606213942660084, + 10951816859330192494, + 7702486265822763293, + 9742157164864698726, + 15390587399080569480, + 3357651727881410973, + 11007420791501485665, + 5247647290182889264, + 17997325678502466935, + 664809855841215491, + 10059480039268741016 + ], + { + "siblings": [ + { + "elements": [ + 4421576258090611192, + 12923583455272984521, + 5023707211929760156, + 17262316375329467849 + ] + }, + { + "elements": [ + 9547423138733390487, + 7270763376292750227, + 9867760954674992581, + 9767764199497512403 + ] + }, + { + "elements": [ + 12172597945660193762, + 16296559491142707805, + 10060642133876008987, + 686175152419999048 + ] + }, + { + "elements": [ + 18192520122963933319, + 7995806977793364459, + 10027634674630541929, + 15966400803053620945 + ] + }, + { + "elements": [ + 4899464959265822071, + 11621412184252807355, + 12110728073180263182, + 144935065454773288 + ] + }, + { + "elements": [ + 6452729809236634879, + 11313121688932622965, + 6861220614186428953, + 5207369239827038434 + ] + }, + { + "elements": [ + 12945942200720371553, + 11768527965401520478, + 1229833369659690235, + 9264899971290292339 + ] + }, + { + "elements": [ + 991858783130398606, + 4929165926157703584, + 7868707968063188793, + 6806079895445718161 + ] + }, + { + "elements": [ + 9694571315316196617, + 4894145678082907601, + 3357409502468758016, + 4777575700029595540 + ] + }, + { + "elements": [ + 13191258589713305236, + 18237951089135385523, + 12435557065013385620, + 3383663017532904600 + ] + }, + { + "elements": [ + 3342465453974703291, + 4892971258533675485, + 17988422537013301769, + 3998986001354980176 + ] + }, + { + "elements": [ + 6510770677351898155, + 8241776915697370786, + 3537682951052313571, + 4489255157186523453 + ] + } + ] + } + ], + [ + [ + 6124887564087077725, + 9434620826707558417, + 5043941384998804071, + 4318930649044135749, + 9292181138743385173, + 11238613940398499938, + 6882839153399487878, + 18173164648622816909, + 9545855928799703304, + 8203276813966014211, + 3898604399175485, + 12517374529196220394, + 1112307011307240618, + 11391553457798935046, + 9861604778445332723, + 4322099272974470593 + ], + { + "siblings": [ + { + "elements": [ + 3167603368722608056, + 3629561031216173813, + 1094759714196989400, + 9113481613018217192 + ] + }, + { + "elements": [ + 10807093473298126443, + 7138991850627554007, + 18232698755534187900, + 13230454983792291177 + ] + }, + { + "elements": [ + 2409877924723372624, + 7584402733194561856, + 15923331955387521074, + 6767916712438151235 + ] + }, + { + "elements": [ + 12741095542127932427, + 12558422988972093445, + 15296774493717938885, + 17231435052051491032 + ] + }, + { + "elements": [ + 12330605027029429069, + 10948715041625383587, + 5642827150420577457, + 14737309521607186206 + ] + }, + { + "elements": [ + 4151138770005265951, + 9353860799031471994, + 5864288394591633369, + 15783061382875947547 + ] + }, + { + "elements": [ + 1801499077328228762, + 12526056698318465520, + 9088295272121843016, + 12344470678180131566 + ] + }, + { + "elements": [ + 15175737356089630063, + 15237694855544328439, + 8439332846653606339, + 5358296920863637499 + ] + }, + { + "elements": [ + 1227428385003902532, + 7496406743821655026, + 10678178724810407077, + 3571600205203130719 + ] + }, + { + "elements": [ + 2908875843646097324, + 10281426781953682835, + 1374057115669608744, + 2934603771884464272 + ] + }, + { + "elements": [ + 9886610276094805445, + 16145048191786222006, + 3629174050761581605, + 16158176723922556987 + ] + }, + { + "elements": [ + 7552820929544409805, + 5652503511486196874, + 4127026516582423726, + 3444493367320435224 + ] + } + ] + } + ] + ] + }, + "steps": [ + { + "evals": [ + [ + 15349269477394120344, + 12931762719575908571 + ], + [ + 6002295176939521835, + 4483801672369254561 + ], + [ + 11113787941065204028, + 5396135465327045813 + ], + [ + 15171368250828777507, + 17939166059852953932 + ], + [ + 13178072898592036507, + 4693038569082463235 + ], + [ + 4729481206662205050, + 11690714291367876731 + ], + [ + 9193383002289076239, + 7468521246311003007 + ], + [ + 6092062757036302002, + 13920901956578208063 + ], + [ + 6592151186386182394, + 15987329161972759962 + ], + [ + 11814966507654148589, + 17942708622436972264 + ], + [ + 10175085421461758743, + 6861860235696400819 + ], + [ + 17300630854364073515, + 7573191826910366526 + ], + [ + 4914628142922795095, + 3993889450371035940 + ], + [ + 17820230766242292425, + 5089076984463950077 + ], + [ + 6493019600212217892, + 2627291625777751219 + ], + [ + 5988507533108713090, + 14820295171943547575 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 11025719718076984603, + 9619740038885842231, + 9498508292460232989, + 14606295292814118052 + ] + }, + { + "elements": [ + 4748828614461473629, + 11186926431268818534, + 7144686132938584431, + 16302980803066592355 + ] + }, + { + "elements": [ + 12085589795186718975, + 4945389820423543911, + 15011106141213291809, + 7430988811649489880 + ] + }, + { + "elements": [ + 9553279714425690390, + 8029457314204727764, + 4946583707708716288, + 8539989750494460608 + ] + }, + { + "elements": [ + 15413452000064931726, + 9173778810507004641, + 6884662171734724501, + 12993602639202853904 + ] + }, + { + "elements": [ + 17254235980005119251, + 10334487500344028096, + 1349856561074899161, + 27266324810651030 + ] + }, + { + "elements": [ + 12565837203884432078, + 15888011856241877794, + 9727141170044430683, + 16706621802783631135 + ] + }, + { + "elements": [ + 12250556004450906942, + 18000135097101378710, + 2677331551488581950, + 14578625963141242658 + ] + } + ] + } + }, + { + "evals": [ + [ + 8201730074288032500, + 11608659010919619248 + ], + [ + 5230146763092110676, + 17438491829838825448 + ], + [ + 14964037747420500530, + 10486791837624621112 + ], + [ + 5849029507346329765, + 15435474954533964961 + ], + [ + 5179388102535100833, + 17315336820221707055 + ], + [ + 6050371880128924863, + 17016734012150007043 + ], + [ + 4422969597272587886, + 7080982731171416196 + ], + [ + 11923244645423707316, + 13021888335019698838 + ], + [ + 24507351657335073, + 11520154405337546031 + ], + [ + 5204598440235154595, + 964217981778140830 + ], + [ + 5473941653081021153, + 2248195446813179911 + ], + [ + 6354759031828428726, + 17816674582860127100 + ], + [ + 12811478899646160369, + 5807478442734966356 + ], + [ + 16245017715961500056, + 10339589334702735948 + ], + [ + 16493467859209141759, + 14261136190981197221 + ], + [ + 7943529594061396520, + 5066793075144927866 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 8733723182785515992, + 15063256835362965482, + 8867689223876833694, + 16655411754681056043 + ] + }, + { + "elements": [ + 10297793842340636235, + 841648698144730365, + 8820831975950048630, + 15071997189001247550 + ] + }, + { + "elements": [ + 18439117491054232842, + 6350057682901323299, + 17103908204808346959, + 15369460768774304561 + ] + }, + { + "elements": [ + 6172340464264692440, + 10050000602895435465, + 13320610604552809513, + 12880574904574335052 + ] + } + ] + } + } + ] + }, + { + "initial_trees_proof": { + "evals_proofs": [ + [ + [ + 1320583611366924981, + 16462513486657247967, + 2838345665579099248, + 12302747432026604214, + 3375740731511367137, + 15758176257256752244, + 3493956248289201937, + 3057651598519878238, + 17893173330386151443, + 520274564287236020, + 11308858534601741895, + 9350203852783742871, + 12506745298118619039, + 2878468559309602116, + 3274152853919525374, + 15432061233651438906, + 17342276758103590698, + 1301788914914774055, + 8782901538056330163, + 13622709344519782869, + 5891323504894440570, + 7702904224499488271, + 3191137781185318157, + 14206351879843006821, + 15506436365043738344, + 5618791457442699608, + 10163311502781473342, + 9647150163693815013, + 8903566887496749495, + 11604319094219658372, + 13856456477408214064, + 16789748918717850422, + 2003292098128160482, + 11322085523744578369, + 8034352278343936518, + 4331608908117779266, + 10841399633940679560, + 12759888540644766291, + 2935616772259074248, + 2082552226653022222, + 17428253286357687438, + 806140940327503485, + 3970087404227497719, + 3096030951572606882, + 13677146766396525518, + 14302338525290740561, + 17424071221517529100, + 11064227366671226857, + 3064109931377352640, + 222000375376302963, + 11190794353536503808, + 6511703115578582787, + 928683477697527542, + 4279571657028320175, + 5763887708181842881, + 14767244809443317583, + 13816629595605815885, + 2423082712221819014, + 4504240032669899908, + 18442392520899266709, + 14871421539555676526, + 2370843507372071214, + 4017996525321859111, + 7363151058572986933, + 10557707454332802746, + 7135961161104070365, + 1978823477495140044, + 12530390036549177965, + 2276054748861224926, + 8475556582224856083, + 4454181889230656457, + 7004430611248297288, + 4804034131864075353, + 11952910319309069201, + 11386598760734863099, + 15510035226520491169, + 3207908463619393560, + 13124916696946694008, + 13221818398952364813, + 9341075680911733788, + 1232175809834249169, + 9606608883661903327, + 2829768063513861643, + 16430836913682098003, + 13564542731882064445 + ], + { + "siblings": [ + { + "elements": [ + 11061222179180928493, + 1594513608381909792, + 16816073035333366415, + 18300828165034095133 + ] + }, + { + "elements": [ + 15074288448457368021, + 7701981388603956378, + 5520525977546527570, + 8316632480857840942 + ] + }, + { + "elements": [ + 2433141372119527003, + 6777239345479845482, + 3382600583563775807, + 275616181420231756 + ] + }, + { + "elements": [ + 4849513915044324900, + 16181548916665311670, + 7316063236932834127, + 15380739230418641553 + ] + }, + { + "elements": [ + 17037591497053812781, + 3456061926835036907, + 17372062038106605447, + 1831569039381994866 + ] + }, + { + "elements": [ + 15122165914859025371, + 13785442570418322902, + 2353025113805876468, + 5402019063799251334 + ] + }, + { + "elements": [ + 11613467344508402545, + 6745581091051004836, + 9102628673685982288, + 6343384754102934905 + ] + }, + { + "elements": [ + 9737402110852491882, + 12915548002305618227, + 505812958747890, + 16049381361101871227 + ] + }, + { + "elements": [ + 7259030083713795951, + 15819009347181396412, + 6446156541863832331, + 9530831997654026682 + ] + }, + { + "elements": [ + 5918015202760011320, + 16635051304272178639, + 18321486404435657906, + 3288153805475836150 + ] + }, + { + "elements": [ + 13209134280841888586, + 17398334605645756402, + 6986550889691532094, + 10808788916391265836 + ] + }, + { + "elements": [ + 7149408847722932775, + 10441923486607315837, + 14119041023369932806, + 8264357693174096049 + ] + } + ] + } + ], + [ + [ + 4229109822706075571, + 11692967992917069297, + 17225717894431032769, + 18181154142614639994, + 13636751640074978252, + 2676138836871087621, + 17293876147165164363, + 12968577887023824436, + 13377718968082832526, + 13019652760919074320, + 1893031214244952624, + 17519912373638016441, + 6733923798339107928, + 17919516006303191517, + 10353220175863736807, + 11317949471394904428, + 1297116488708616846, + 6385119556000104479, + 17992515805906147544, + 10603350852339878439, + 13904262144006637824, + 17290383730130964217, + 10523061321488355002, + 9050736093478904481, + 11218045225407072437, + 6758451226973189834, + 13899590071861844863, + 2271717085760741149, + 18080619741678753168, + 18331958503344074355, + 11250723989457704904, + 13351461914238565354, + 16296708364984858595, + 7435455352559106010, + 16955036824384918487, + 8848490780926102023, + 4787920268512179117, + 4516896408077891627, + 13779400871051959039, + 10975368131423505623, + 15546166679156001563, + 6946667469065690453, + 17539677274377466009, + 6381642860014697372, + 3027688809015493671, + 17048777250544489522, + 11205766335701250621, + 9491894047431081751, + 2279969427654943358, + 11812751739010570671, + 13727407694519284836, + 18372126135214512835, + 15490708356890142486, + 5414166854568148672, + 15862363017945486746, + 14470313081859878931, + 17574687636531009939, + 4883083718546432915, + 17068962892528712171, + 7559627069965800578, + 9098480372925587541, + 9123442166484658139, + 18176688523057564325, + 15149381485152859642, + 1078034849182527029, + 12219821748767075135, + 10929813402400026836, + 5980884095865516921, + 4564995691166480027, + 15170645040442792667, + 12434717843573556884, + 14164910349593153057, + 10662341434739794569, + 15457241206392712340, + 8383464226557019251, + 8678022130629630075, + 11608889450410754565, + 11470224344176501211, + 7568997068452571689, + 14034742243203561342, + 15951335332344872486, + 13011157723972041218, + 8849247589413579462, + 9944481503380311041, + 16706385290761845515, + 14074328776950004510, + 11997416530896283769, + 12912490741614923324, + 8853195427695984987, + 5349793615174836976, + 10686622230914989285, + 890773367002721061, + 15440193180287896671, + 9439671838493144442, + 14118175983648207053, + 16097835205489712637, + 11974868157805568602, + 14263678607523896873, + 15050968582236708712, + 1806971300804185837, + 4535926954207749479, + 9236319926536170945, + 11078480087173321230, + 699906232839400219, + 15060887512218995395, + 16440797947453086538, + 2332632025094247919, + 12069893132079533138, + 12089020185524196284, + 10501881398686733325, + 11772534255891980333, + 4406528148491437609, + 9479387756952199110, + 4294712394281889106, + 5052138653222633864, + 3704183156709968689, + 12765860419582585097, + 12164236612796001427, + 16359853229567306850, + 3813166919738481603, + 15692385964471427012, + 714417733924786236, + 7734253413088479099, + 7284991974711488156, + 3698050414241932097, + 13193156157805612878, + 10418097812902195990, + 4338196363253949131, + 11623753895709841069, + 16626070948813313025, + 8126708761334027449, + 11541935462350572115, + 12803969615353531741, + 150543259203637648, + 16990695291681276003, + 2272767721155136087 + ], + { + "siblings": [ + { + "elements": [ + 14496384342597983189, + 10388709422682376121, + 4621869303799761529, + 3778913244263295024 + ] + }, + { + "elements": [ + 9540926682553730694, + 13526244620999051442, + 434397940385156, + 15478965825885406107 + ] + }, + { + "elements": [ + 4600639605637297941, + 5108178807610880495, + 6494463792971138865, + 1477607638225080171 + ] + }, + { + "elements": [ + 15784713604761459443, + 14101730893367441826, + 17837048302995551600, + 18138692323273339745 + ] + }, + { + "elements": [ + 5365370099922696079, + 2190914372128787354, + 348074089950039964, + 14275265273835353065 + ] + }, + { + "elements": [ + 8266587489393070208, + 2183502929157026217, + 18208585012079195845, + 11402580470938937168 + ] + }, + { + "elements": [ + 11361598751276505133, + 785914846800066528, + 14740646225184813437, + 8272775087866554294 + ] + }, + { + "elements": [ + 10504443007104696987, + 15015824591719280339, + 1716487699623983253, + 5102468476043100390 + ] + }, + { + "elements": [ + 10466706655411728445, + 2958230270894252427, + 5994216778863363672, + 8351147322085636822 + ] + }, + { + "elements": [ + 6957784506644159752, + 18053700104937029881, + 16884614629158228464, + 12202628882270908460 + ] + }, + { + "elements": [ + 8907470706349133047, + 18425631773018799916, + 1522548037428156540, + 17859971189949141918 + ] + }, + { + "elements": [ + 5334638550516404267, + 163215194369528102, + 8022098787184396525, + 441518950163739799 + ] + } + ] + } + ], + [ + [ + 14950914004924962903, + 10327300178913424515, + 14678393126451505787, + 7353913601352540467, + 17753144723576771990, + 6823265979701356663, + 6427091913383451097, + 3333733051141966439, + 9521194720608743647, + 5169443631906794259, + 5343740862728267127, + 8433184269941258681, + 14635130656824356492, + 2912015584146816437, + 4095554530169864053, + 5067204569306350032, + 13885249555759356205, + 17891142521076543156, + 14844604357672854023, + 4558463033445646027 + ], + { + "siblings": [ + { + "elements": [ + 18354791509993150048, + 15579480276821475361, + 1675713345992759889, + 16230054891389924717 + ] + }, + { + "elements": [ + 5419796587624525348, + 16678488636941846398, + 21148491522760478, + 12921909608171596144 + ] + }, + { + "elements": [ + 10389471990235531003, + 5335873594796696604, + 14864911697368465235, + 10264177193385460574 + ] + }, + { + "elements": [ + 11894061193593989346, + 9938742962859765385, + 14908836821014226464, + 6929436448782769828 + ] + }, + { + "elements": [ + 7750283613178264537, + 7917196159036515674, + 17181276041642310359, + 10117057341343883594 + ] + }, + { + "elements": [ + 5164275524942621414, + 14087788877417778851, + 13466462145467658203, + 12160898102097688056 + ] + }, + { + "elements": [ + 5040947546806978974, + 7294655035325156524, + 17665482227949295742, + 16806444700540607604 + ] + }, + { + "elements": [ + 17846000321743631779, + 14554111884599317711, + 13378537308072066813, + 5171620823394228737 + ] + }, + { + "elements": [ + 16555160295862491533, + 16435299727273187579, + 10200092351364428195, + 6525491270305636452 + ] + }, + { + "elements": [ + 13263108025933850401, + 13875845572887299618, + 17636321751658985999, + 14877962012901564702 + ] + }, + { + "elements": [ + 3966638689899011571, + 9630498163918754573, + 8967749187153254608, + 9199741565063152175 + ] + }, + { + "elements": [ + 15062546824536624079, + 16601999484726731381, + 4588150196710111504, + 8955656718810895512 + ] + } + ] + } + ], + [ + [ + 11866386730017136869, + 15170088815698467456, + 5586250062433317460, + 7778710349274278476, + 779072783289243474, + 695048237519004703, + 6344028452463931359, + 15722172300595446643, + 14659731755938636500, + 16708360562918538131, + 638255552502482398, + 718821964794122623, + 16667621261036155391, + 2927348951824733890, + 17861855879403773488, + 8222676172934707830 + ], + { + "siblings": [ + { + "elements": [ + 15994586841345352893, + 2986012198784817547, + 2004808424766565285, + 9174192801431869922 + ] + }, + { + "elements": [ + 10737659153079787025, + 7251429047692054698, + 12471296936181410199, + 1357655241390120907 + ] + }, + { + "elements": [ + 16820596439276402449, + 6337699534088897712, + 7679835551319754726, + 352675439955340872 + ] + }, + { + "elements": [ + 5804733574169359627, + 16080906468173413485, + 5010239740699911496, + 15137052810462820392 + ] + }, + { + "elements": [ + 8542101788271836474, + 8128958845785741048, + 171603249106168483, + 17047770064474725510 + ] + }, + { + "elements": [ + 881335252831113067, + 6926901912526410032, + 9298741098867748624, + 6542739247001265713 + ] + }, + { + "elements": [ + 14857402350237901070, + 11119325714815324738, + 1577050853927249156, + 11269816035401008052 + ] + }, + { + "elements": [ + 13658575180968235545, + 15526808926841305691, + 2669471206805888048, + 12484162966107508131 + ] + }, + { + "elements": [ + 16951076852234603592, + 1990463541363769185, + 7011358647461733322, + 2447577870333172282 + ] + }, + { + "elements": [ + 16702368161952010150, + 9497130387810837535, + 17936757003089755211, + 9689249279298189551 + ] + }, + { + "elements": [ + 14185463533782063083, + 17629576015682396594, + 2378705652524244050, + 4897833658035199571 + ] + }, + { + "elements": [ + 5806977200241163761, + 6670351956686988723, + 12729238785494827326, + 11086696506805914927 + ] + } + ] + } + ] + ] + }, + "steps": [ + { + "evals": [ + [ + 6881233286103487575, + 1289609701854339031 + ], + [ + 11996371166322774229, + 9529585797110381971 + ], + [ + 15206260554637155716, + 10465791890085686 + ], + [ + 9449682801999855467, + 3301993206069137308 + ], + [ + 3953827955719174298, + 12670774510089184792 + ], + [ + 16973432286601991114, + 671804237621483946 + ], + [ + 10553803441381944903, + 6012445556146248277 + ], + [ + 11111550023702565860, + 12694668038196242543 + ], + [ + 11718316970552064585, + 9344700592895705963 + ], + [ + 8325745729160873299, + 1473069460724996116 + ], + [ + 6017273977852351085, + 13021646025239330083 + ], + [ + 5865594992091786391, + 18371832441223362995 + ], + [ + 3182731686421331568, + 432758458791539423 + ], + [ + 4614580110869145994, + 10554195734820964130 + ], + [ + 5310948080656432335, + 10787734402040480927 + ], + [ + 1689271151012239924, + 6943631004973192475 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 14955111645351385892, + 406522383860427179, + 15173296824723843429, + 17218168377993051682 + ] + }, + { + "elements": [ + 6292957218179732479, + 7620926883678829356, + 17900852910131862731, + 355226043869458796 + ] + }, + { + "elements": [ + 8286460625384354341, + 15668520706397840627, + 18104762513481444710, + 15475648511998820471 + ] + }, + { + "elements": [ + 14030351317883816767, + 5261573564206090205, + 11592003416320518640, + 5132710392256336953 + ] + }, + { + "elements": [ + 14606169919471762273, + 13688437449265508464, + 9081857958057748159, + 10050931274325943259 + ] + }, + { + "elements": [ + 14531314438735888128, + 8796675899974765707, + 4654591818729192346, + 1256904537841257559 + ] + }, + { + "elements": [ + 14760386412756978785, + 9124296574081820374, + 8423919023769359137, + 1614280215139594785 + ] + }, + { + "elements": [ + 499749457023998126, + 303791642005384726, + 15603772659653473779, + 15399029892832511460 + ] + } + ] + } + }, + { + "evals": [ + [ + 10372180579500083639, + 5113017422647833847 + ], + [ + 11540583929896649240, + 7709405892898095428 + ], + [ + 12631341940515869225, + 9564574696713170635 + ], + [ + 9668626884651146997, + 13118202325664633516 + ], + [ + 2255412744385820689, + 8699706246903379546 + ], + [ + 13221016867347882540, + 11851293799305143084 + ], + [ + 2316920502103435947, + 4462470844773621811 + ], + [ + 8250996079469116909, + 2625578541119684881 + ], + [ + 17389078719356658427, + 8937223608382027098 + ], + [ + 11498844254488689511, + 12403891043060133690 + ], + [ + 4604499689210984962, + 2303240722931068016 + ], + [ + 12202515494167005588, + 16143520443045204411 + ], + [ + 15244530267632150291, + 16813617894132607803 + ], + [ + 9089760787023390049, + 13815761577126393070 + ], + [ + 17428036702230746166, + 2775077148685157537 + ], + [ + 1612433433817186591, + 5734189111664730545 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 1230107450869970107, + 915516113437102440, + 16089483564500234552, + 14062810702214820856 + ] + }, + { + "elements": [ + 14561474816024069396, + 9503392587987084229, + 9712905678734015990, + 7898492418122683123 + ] + }, + { + "elements": [ + 5507517536273833098, + 8473576032228211866, + 3455074441584669433, + 1867553934758708884 + ] + }, + { + "elements": [ + 17977281720448735165, + 12166807561834555246, + 17683793103168087838, + 18215651866800091513 + ] + } + ] + } + } + ] + }, + { + "initial_trees_proof": { + "evals_proofs": [ + [ + [ + 10622381086862718029, + 5577317193102544000, + 8521084819223935326, + 8263510176791096556, + 13198374534868140824, + 11010417676039596697, + 9904220878290698785, + 4600589830053323912, + 2926191600936148537, + 5387220940552654090, + 17116645422625298889, + 16874028697360839288, + 4332397680933918716, + 2943115077140786109, + 9329333429725629997, + 12474576477259720894, + 5176796930221514908, + 16979201954238775524, + 14996884127651698551, + 4629738056866772770, + 13195552741680995848, + 8403878979495949350, + 6568094445032706070, + 17641289394263250167, + 13360112900385343538, + 3206243048597166172, + 684700922868114750, + 1457921866419759706, + 3571184640549532009, + 12062472051839715181, + 4827253711229102228, + 14596269904769954333, + 17001620830316577984, + 14568917257677551017, + 14914071697117522778, + 7628379520720092309, + 8151533944620051401, + 2965966975300063031, + 3849951461691565542, + 3595623988169504181, + 9864320382287955205, + 346106187186392157, + 249957939862481684, + 14078877712513867655, + 1678291690074547998, + 913499818311678290, + 15819972476097246863, + 8253763127549074948, + 3536710232208675071, + 7735566515782160020, + 16532281350901555120, + 5183247852393961094, + 449575895793543856, + 10857894825501755951, + 17091953955259316178, + 16082223035816691524, + 11700855076819800914, + 2253470826669995808, + 5228523938583034755, + 12477936097469527432, + 5662248099144513859, + 5876811749426937152, + 994969961963484970, + 1348591027055300130, + 5915948852820232439, + 6237466081444763208, + 17687566295842787749, + 4885504693103269437, + 10129813450268665977, + 8689961568087291123, + 15566022697458997031, + 14885542502770718679, + 13183975313624483509, + 16137728607105998944, + 4544874544081099804, + 11585869324010594094, + 13051908926628962, + 14298389235016775578, + 9375703974027899398, + 3356233563659044061, + 9313003299829813739, + 1350805392830327688, + 871510493265590237, + 3089728226618136553, + 6207952158064669056 + ], + { + "siblings": [ + { + "elements": [ + 6902399113767207742, + 2249310133299250918, + 6718480224864621760, + 991746004377413428 + ] + }, + { + "elements": [ + 12720025659338525557, + 14681460872156689949, + 12048999443561329610, + 12124564014013126942 + ] + }, + { + "elements": [ + 13875695247826486419, + 12525281974663155497, + 6002257729851805547, + 353569007697808349 + ] + }, + { + "elements": [ + 17673915205370156285, + 1200618124288862745, + 14946755876472885937, + 5908642966392345749 + ] + }, + { + "elements": [ + 3737617109153118878, + 9806094310499483246, + 18090216615692591729, + 9934540638677382836 + ] + }, + { + "elements": [ + 4812804409275163897, + 16455146256505104195, + 6587935849272881260, + 9905202193562815625 + ] + }, + { + "elements": [ + 14006240173865772704, + 3048960329005376574, + 6816153300018346152, + 6794849251829953196 + ] + }, + { + "elements": [ + 9828522500718830115, + 3880673413194164883, + 15788835920523026171, + 8809667414214034172 + ] + }, + { + "elements": [ + 1517891162969227456, + 8827219406189310982, + 10219364274315700667, + 10745813222353623104 + ] + }, + { + "elements": [ + 11750195497763249902, + 6160187300121146827, + 13201405460718861422, + 6128221095308952928 + ] + }, + { + "elements": [ + 2788273994459486256, + 17464057380374868845, + 12865001633013315279, + 7580479364299406929 + ] + }, + { + "elements": [ + 10050478745206942461, + 3554700153988361313, + 15073592587474051581, + 4027249832042240445 + ] + } + ] + } + ], + [ + [ + 18251614442216395764, + 16034312787581191722, + 4320582423372737305, + 1448906731768001779, + 5982069678887085870, + 16341347630294868868, + 10042368406814496958, + 4636691452440133612, + 15029433286570646803, + 10584158778913933127, + 18402845575250378190, + 8332930926938006863, + 5809636568631785138, + 15135010002674815710, + 11843429043369362854, + 14035264422640058805, + 9977351863165570625, + 342801200758061992, + 16604660887124490287, + 16386454512089658794, + 18224950150588474626, + 6388882763385937599, + 11803477957158354417, + 4019380918270306426, + 17336517169482339783, + 14711319592254583958, + 1348957995007835640, + 1314290102398133315, + 7692561696013670073, + 15750553604827310526, + 16590669008033059166, + 12678930786662812354, + 6928297990604614453, + 6515053077969173044, + 15143855251885632313, + 2189802308981595454, + 8805536866878722868, + 17566731321289584931, + 17241986778672188819, + 18034200338665138451, + 3830959933844977294, + 2025969137469164185, + 12266521210333711035, + 17873263481775236567, + 463536445491711044, + 5583602769667984831, + 4667254547950970017, + 10583345009378104531, + 10605547863169644844, + 4469398470068747960, + 15076256834680296585, + 8644339699883584410, + 9401485081080191430, + 12617453488928571598, + 13570647555812914688, + 10603626019746463875, + 15035213990947379567, + 11603838946409754665, + 16726115564112451476, + 799450935938540025, + 9878766153568950206, + 15494493991621155674, + 6134971916995777450, + 11929883051964996793, + 1492593917678968767, + 18177893166908949854, + 13706043879445293588, + 9270614484974459076, + 14273160392459253579, + 12268129104081767975, + 841092509337139054, + 5928238132636598653, + 13460082683281881004, + 143429722513769384, + 18295562427662064067, + 9122648113330371584, + 13928875198431799929, + 13982879181259315851, + 17757387941964763478, + 5543023567425926907, + 13617542001032237874, + 16697129809673288890, + 528588373421316991, + 11305644693526727724, + 13162243944893171455, + 8658966112373583744, + 494909129910198034, + 8337186780073003735, + 1672852595400648045, + 15086407190241231437, + 3668061813952678469, + 14497430151556720965, + 1327184235611423081, + 17727811553150544957, + 128851497587468045, + 13483599923542306254, + 2600880845677242438, + 10046726801007272459, + 13891951739793450552, + 17202006595697589113, + 7152073880501287118, + 16035622755156722738, + 14146668246644236886, + 3363727040239974299, + 6241248095722541411, + 10376043658665740411, + 15966425696731258345, + 11513795000073224062, + 9313180334237288632, + 12235255416673456057, + 2625940801822705038, + 7434109806873579353, + 6127458408019767423, + 1496334560728707714, + 3031580699269484362, + 14927381515279958428, + 1451368590746698725, + 6470250854192002344, + 7501828034713180766, + 16886673733375545500, + 16250923393275533579, + 17652312776073011086, + 2782435371683144441, + 2201116552155477959, + 12927389268299290821, + 9247088438149680825, + 1477104215233892835, + 13410224369059252673, + 7618902888105333767, + 3583657706546828174, + 10412280589708622335, + 9760182832012748089, + 3011938159143553233, + 15163791400828641098, + 5232916158384274256, + 9837037656834743606 + ], + { + "siblings": [ + { + "elements": [ + 12448749608565877331, + 13101916251744266137, + 11401896245515305935, + 17101450930146886693 + ] + }, + { + "elements": [ + 10681876070864522716, + 12822410073284240471, + 15468605369594233510, + 9970210045693831834 + ] + }, + { + "elements": [ + 15262800590284365224, + 3684454376466039760, + 17407300195819288651, + 6653528945647430783 + ] + }, + { + "elements": [ + 11047570753241369980, + 14751808335414748550, + 2006340851668764286, + 15905018730161853963 + ] + }, + { + "elements": [ + 6749824312604950626, + 14733846122086677919, + 8065999088462203485, + 14006561698588953834 + ] + }, + { + "elements": [ + 15887146644856267527, + 15953891020745535905, + 11279291750676792185, + 8683796152835226140 + ] + }, + { + "elements": [ + 8634372676630086607, + 13631248135317208435, + 494318461709396270, + 1344238110221818369 + ] + }, + { + "elements": [ + 7263538279472892027, + 16748365372422310646, + 12316552421607338736, + 14486991707536494298 + ] + }, + { + "elements": [ + 6187879576036451525, + 3344037196845979190, + 8566002603802640210, + 5185618791284575886 + ] + }, + { + "elements": [ + 11639078833679597063, + 16782637126994529907, + 507088271718595571, + 10205059030841655095 + ] + }, + { + "elements": [ + 16820586146960886083, + 1321238325450502787, + 15072264758638548830, + 12236958590567257735 + ] + }, + { + "elements": [ + 9461404342369172628, + 3221410601176796519, + 3389635916910927311, + 9917106116449667737 + ] + } + ] + } + ], + [ + [ + 9169780307526823193, + 7497695827146836112, + 3172922514731270676, + 6706683973755757148, + 317760806763227617, + 3473990754169187773, + 1868884989239686436, + 7626309551685080801, + 14199137622279178905, + 15160070728776213777, + 1753642119838905122, + 1824290217237164071, + 3809413276812658429, + 6705667620939503907, + 4745502050543364948, + 11771821269823023165, + 3244472856461237879, + 3928063717472362726, + 3768727851398273313, + 5879882639936937352 + ], + { + "siblings": [ + { + "elements": [ + 17476263276522353519, + 2622412359410333737, + 7944486108705159838, + 5002919801044248727 + ] + }, + { + "elements": [ + 16436339230592315123, + 18334736300960640830, + 843679395285675402, + 330529856939863230 + ] + }, + { + "elements": [ + 18410129804818444780, + 1188521240226870701, + 17534661915251961904, + 16571786727304133414 + ] + }, + { + "elements": [ + 2654183770478763577, + 12877891311928689297, + 16166570415252839209, + 4238274056781075054 + ] + }, + { + "elements": [ + 13330523981195342476, + 13240362038196049678, + 12739786700103586182, + 14565574294896226998 + ] + }, + { + "elements": [ + 16965884801472265035, + 661163189736623408, + 16822774278179199260, + 214459424256896593 + ] + }, + { + "elements": [ + 13067480199117890798, + 471984282832401380, + 8885259299922227354, + 14725426744075434255 + ] + }, + { + "elements": [ + 6047664404919699380, + 6417658846514792704, + 3690529170887853176, + 14188938441375681030 + ] + }, + { + "elements": [ + 6291398019932179536, + 9759652148972690551, + 15809278020507257520, + 5932740819714416467 + ] + }, + { + "elements": [ + 14296235496884218498, + 7183769824742611441, + 16368414890069985965, + 10100234199677677089 + ] + }, + { + "elements": [ + 16199468579275725570, + 7932863420717711430, + 5854150521906773660, + 3211666782624594655 + ] + }, + { + "elements": [ + 2503973960356317291, + 17727086384128084841, + 566028801743090229, + 6831033269205025363 + ] + } + ] + } + ], + [ + [ + 7702311757308078394, + 7718702374731213268, + 15482699287154689040, + 5576412744925624064, + 16332358060977951173, + 4815308623327186968, + 1961949579009134370, + 14528071926627401178, + 4101095754145639280, + 2183696408171213787, + 11571464432436941652, + 12536223883153020740, + 4503036317805287073, + 14772652879790519554, + 11879602834534954224, + 7333917335059931002 + ], + { + "siblings": [ + { + "elements": [ + 12230522865111003662, + 4723433999349770157, + 2360995020309754358, + 8997666156920742312 + ] + }, + { + "elements": [ + 12416158351494118637, + 9873128693535374515, + 4665471527028464863, + 5892317249876677373 + ] + }, + { + "elements": [ + 15140980638278818624, + 18444950056286383056, + 6518440759773227184, + 4119117198314442492 + ] + }, + { + "elements": [ + 1779167523515698062, + 14150208110578041015, + 3160866118012940474, + 11167220996929946471 + ] + }, + { + "elements": [ + 5402783518091106181, + 971787358724939754, + 10404563780858189721, + 13904755013409533566 + ] + }, + { + "elements": [ + 17746541874128480878, + 1612556078414824574, + 508470577600436314, + 17324693335379214033 + ] + }, + { + "elements": [ + 18412411353014964262, + 3305987526915205764, + 3305943162297578461, + 14568699073257079875 + ] + }, + { + "elements": [ + 4169170265332915976, + 2576161372894123561, + 6055729021948249543, + 7874285786505927158 + ] + }, + { + "elements": [ + 9464413120281730983, + 8986255751892139198, + 4436149099656802054, + 621953241663293652 + ] + }, + { + "elements": [ + 6649357519818070596, + 8605165447376616689, + 8329878682111716445, + 131936958063756376 + ] + }, + { + "elements": [ + 15577926119945856919, + 9372963584417167161, + 9363775949644029490, + 4870506448120288013 + ] + }, + { + "elements": [ + 752447846984444455, + 11289379311915435440, + 6919642934082071598, + 15415744191277221778 + ] + } + ] + } + ] + ] + }, + "steps": [ + { + "evals": [ + [ + 7476885352756609388, + 1162341910129383512 + ], + [ + 2291809521706111910, + 6421828947770723880 + ], + [ + 12087605340704590412, + 3110176890493657019 + ], + [ + 7867137807827483105, + 9192931073994229425 + ], + [ + 8469165371806135960, + 999307710732573519 + ], + [ + 3747394661594798218, + 10743351300807081951 + ], + [ + 2792533495403535611, + 7069515963290524918 + ], + [ + 18078552756266661963, + 8037690658405900171 + ], + [ + 1677406973366533195, + 16011973700990995893 + ], + [ + 13636021508403099566, + 2720279362299152103 + ], + [ + 17169706617710730154, + 1697383711670583649 + ], + [ + 1639264708923979177, + 10172880288376959782 + ], + [ + 10927207689337437216, + 2755196806135210285 + ], + [ + 12380195649122077045, + 8920187916841602799 + ], + [ + 3529381930342238947, + 2703828183175023700 + ], + [ + 4207407420549289865, + 569117291922377311 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 5791695945272854064, + 4774398418170656373, + 14181853098647047236, + 1149441645184581372 + ] + }, + { + "elements": [ + 15600958691755802464, + 4773623061846565652, + 10249205169449540485, + 14193671348332645610 + ] + }, + { + "elements": [ + 11024927311722008640, + 2718779237795310521, + 16411130099461563503, + 3693832567218561244 + ] + }, + { + "elements": [ + 15879647958624530289, + 2761899032087114043, + 12454220859382091703, + 6483877993508342883 + ] + }, + { + "elements": [ + 4192940737596927890, + 16350140707647130705, + 379994387347950468, + 10628961753193377300 + ] + }, + { + "elements": [ + 7964770296686694862, + 16255795339843558979, + 3829332760765043540, + 1683484871826933111 + ] + }, + { + "elements": [ + 11514829050558401253, + 193394081699601356, + 4342714943417436800, + 1560871669482586482 + ] + }, + { + "elements": [ + 14791096251777429630, + 1429571632921458952, + 16340524928949052212, + 2827290327616857943 + ] + } + ] + } + }, + { + "evals": [ + [ + 2456696884966063202, + 17252976055079757794 + ], + [ + 7582914733919526236, + 3278848923983156098 + ], + [ + 8611368591924084328, + 15381106945129969927 + ], + [ + 18287176001415927813, + 11046099803298709434 + ], + [ + 15199163758226380114, + 16016965585433018473 + ], + [ + 17923761423854665298, + 5552332499295260888 + ], + [ + 14822096858710211607, + 12846871180194664824 + ], + [ + 12020637029809270500, + 2838941678306357998 + ], + [ + 14778424663602834150, + 2027096881063460529 + ], + [ + 15330422764880442180, + 10020820018437164810 + ], + [ + 15184119072841483371, + 14401278430622020349 + ], + [ + 16625837374654937217, + 12037807883361326073 + ], + [ + 11832193379401382350, + 8238204030911376059 + ], + [ + 11378252472024953842, + 1736864254268562757 + ], + [ + 1385249170559123811, + 9129353783050243070 + ], + [ + 13845443595191750846, + 1661865812551810582 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 7433905541905681705, + 13999847720782143745, + 11875749690060052536, + 4039542275003821314 + ] + }, + { + "elements": [ + 10673811232184113223, + 11998558820043866123, + 9214230301006763614, + 14206348881805984589 + ] + }, + { + "elements": [ + 12138504708519381680, + 10496967016212052841, + 12032915100825055002, + 6097834848866443999 + ] + }, + { + "elements": [ + 1438994896794839898, + 9890653915424016060, + 16317277646773395666, + 12187878899192254822 + ] + } + ] + } + } + ] + }, + { + "initial_trees_proof": { + "evals_proofs": [ + [ + [ + 9756745767763968134, + 6293891332226905202, + 16677000632252537188, + 9141731913208275469, + 4688602509832132485, + 3652878188029419611, + 4416417394871144728, + 10493693391809922336, + 4009352370822413464, + 10423458968054512561, + 7245233848704956808, + 5235875802354698538, + 11404222087875245608, + 5184978603779364049, + 15751446698663176467, + 8937266335529544642, + 6050336775728865619, + 15496443150592620417, + 10268093798872006598, + 5965632135429621163, + 483227293381872868, + 17653388237077626187, + 17654934284143279992, + 13948749492788221263, + 1805677599425345308, + 5931937919631486338, + 4824107769252923207, + 5630687299947079840, + 13190426015901337761, + 2054751291247891811, + 16942392818221658649, + 8223922098285606445, + 1339837163370684031, + 14351431951448007998, + 1708985870508738826, + 5263514020889285128, + 17284822165849058567, + 8325966360787280719, + 963740850378578579, + 2004202510483045210, + 2382797548374009193, + 5959092479897585625, + 2528037684747284623, + 658124469316484619, + 4238994297372618593, + 8236868843779077728, + 9440749318839211067, + 18308265920113501680, + 6967973500318737897, + 6999917967231882879, + 11392767552145837549, + 6259371940705183808, + 9001950152524073763, + 11051007778568673350, + 1037596604665248960, + 5285442887204596584, + 14428058041229939158, + 18172145370342069227, + 12920858263558452756, + 7181535154421805412, + 11449106641214937692, + 13989727214275136936, + 14705002303632064803, + 8740932865666287173, + 637874676460205756, + 12023848162512785063, + 15967745509795462494, + 4668074577983108789, + 12111558679989750776, + 15308426768705943310, + 2577548514973890800, + 16225152034594317056, + 15868635302105164449, + 16332365063519541210, + 9844491669721682183, + 1132652549868319804, + 6503992468695745644, + 8025781764060954936, + 16297855500524338096, + 5641226470008399388, + 6940279939003166226, + 9276457340762741316, + 2849109573984139004, + 6853490087072897310, + 9959789112858970442 + ], + { + "siblings": [ + { + "elements": [ + 13083387588025898662, + 4454679059282009699, + 10869994042772356999, + 2894651309812650921 + ] + }, + { + "elements": [ + 12311120995880417685, + 9375015005556934511, + 4174561598092327855, + 9106871787241142620 + ] + }, + { + "elements": [ + 9984355985618121488, + 7075676793900917848, + 9606272179420694130, + 11823586898013944447 + ] + }, + { + "elements": [ + 17698780185316692112, + 9586784692241859899, + 3966209320873578045, + 10094123373320364170 + ] + }, + { + "elements": [ + 5924968632344979081, + 2550262532803131534, + 8977362143825883145, + 9823658820145872144 + ] + }, + { + "elements": [ + 2151793168430589333, + 5854436286519888653, + 1105187352997576741, + 793818999693321041 + ] + }, + { + "elements": [ + 12621155077059979546, + 8448068545992159835, + 12635842102944338360, + 8920695912651299228 + ] + }, + { + "elements": [ + 9223725575670041415, + 5695250463955534918, + 5528541788158516884, + 1611195623531647173 + ] + }, + { + "elements": [ + 4873327564068249606, + 9666079618452667172, + 5640821631591225409, + 7561342208685853352 + ] + }, + { + "elements": [ + 11126817639276523064, + 2567317072700859960, + 12512940296356888488, + 4654191598991866846 + ] + }, + { + "elements": [ + 4420081505043981206, + 10684088016788611267, + 8023427613561666819, + 7054340555178160965 + ] + }, + { + "elements": [ + 11610141663170421066, + 11308736678634324029, + 17743196384127554650, + 7050715744562629575 + ] + } + ] + } + ], + [ + [ + 11790894879624951334, + 14015142577916120843, + 885060308793571877, + 13420536140942546519, + 10174402427354703177, + 2162353212582891462, + 7267297463735055475, + 3029948172062044644, + 15204948401895775741, + 15567842839410739483, + 15494524652210290181, + 11456693004963368427, + 4785539727657055764, + 8128174983124168084, + 9125123289016582551, + 12352407242993614909, + 15725000275823922758, + 5186267673252714590, + 14929600573734497477, + 18115521295931395359, + 14266473416781489754, + 10594671241176135791, + 1387561777765467535, + 16885268225163068316, + 5491621197419773100, + 3686200173074773953, + 10252928239802195625, + 17821976337299725294, + 17389404639717193904, + 8370399257808624019, + 4146944333519353693, + 3670996487540122822, + 10401949946002152429, + 8443785046350763684, + 7807488286890153612, + 16469886488142569471, + 15208963651757787120, + 13468516490969696752, + 8829165682446975958, + 5481737641374435431, + 13504519597982810024, + 11047954946161293007, + 6771373825910715970, + 7003924831312723839, + 12418059298559263539, + 16306748207355968401, + 5420618483473685046, + 12617385600185144215, + 3956081780443620521, + 11338129207140461950, + 6154756504949725402, + 1969970817919432858, + 15028572572674251340, + 3187820030384343340, + 6482255681674794109, + 14746788158320475998, + 4930844320492388562, + 856449060692483096, + 5640396991224982485, + 11752387797969283827, + 16615087805391032551, + 10023379115719670397, + 3245704616223366040, + 16664569977846096730, + 3592550921830578421, + 16183666273697172349, + 10181878508236149128, + 2599913792610913112, + 13806582805047375141, + 12952800958925404284, + 16693263256233680587, + 4820959889277934737, + 12609719073573063415, + 8716843868202111846, + 5060628727705784824, + 1657894436871104797, + 9556318632487063972, + 14059078114349292781, + 15964294111617430723, + 9494293268453277861, + 9180351050457055723, + 10236939633969273738, + 5245190149827283308, + 412240624972024323, + 2017510869143863405, + 2269165946981290928, + 6450662066021481745, + 16498671303689295253, + 956044646618544303, + 14308393929167438887, + 7741554047915632656, + 10682145723528706630, + 18431251907277764742, + 5501854980723658985, + 2700008537609469069, + 10183321100195555282, + 8747309642792346384, + 9751287957002802842, + 5434866690335958435, + 11491401571783296139, + 7707612538155815009, + 15775525936630731312, + 16605484857729285811, + 14237089826182180245, + 14769440637379811386, + 2787284791478460431, + 4285418129033062351, + 8860836121773369569, + 12798872043712021904, + 8454304981231909436, + 3326174078561625424, + 3433822375969603817, + 13203251718042368969, + 6982955038963588243, + 10231574695056952537, + 17315023028541054799, + 16734888561652722572, + 7893977153410452999, + 12772021904508388402, + 10820460737421023442, + 11429363534381099576, + 6689935303898276198, + 16785329728577852805, + 1232657688045371297, + 12457046014554082229, + 6787239432485312103, + 13160484419021996820, + 6001811851306888594, + 12230971771469783800, + 15514618757445352661, + 17412708403168790745, + 16235856218704951212, + 16190699409598758676, + 16747149685841137484, + 656212050216117971, + 5334552725882139137 + ], + { + "siblings": [ + { + "elements": [ + 10880340204064969250, + 5638372475317741029, + 16996233815089608692, + 7030815851049393590 + ] + }, + { + "elements": [ + 12292500497454204895, + 17352280576391459021, + 18140324889287935893, + 12136708829956814487 + ] + }, + { + "elements": [ + 2519977673138888915, + 294640920616249441, + 10465791023244616071, + 10689592026778137586 + ] + }, + { + "elements": [ + 10519891639290990066, + 10467998904684705949, + 15553130883505343021, + 5512129605761754961 + ] + }, + { + "elements": [ + 2293641294880563763, + 9612440882727034781, + 8530811209309921545, + 9362208442818198365 + ] + }, + { + "elements": [ + 12576810323819910960, + 13596488217335095475, + 6205906041005718594, + 1113340863118545790 + ] + }, + { + "elements": [ + 14204407971319677169, + 6414897426488791147, + 7891039947923378954, + 4746716545392062029 + ] + }, + { + "elements": [ + 17282365659768847384, + 7846898799498504560, + 8000101010712375857, + 4831284038380132395 + ] + }, + { + "elements": [ + 10234795404248215846, + 12425451294218436447, + 11662834807230369386, + 18199628146495929557 + ] + }, + { + "elements": [ + 3916890861415688083, + 6716433014098767745, + 12327036692749439279, + 6540839393985694728 + ] + }, + { + "elements": [ + 12226367201225508772, + 15731403310287864815, + 7795903614579074285, + 16363159066555213739 + ] + }, + { + "elements": [ + 12321436320517642068, + 11450107699757430694, + 16770943999468197625, + 10243508563282898517 + ] + } + ] + } + ], + [ + [ + 10296608893217507458, + 15911548536455640171, + 11505035343366972154, + 14333622132342620746, + 6001793632031377488, + 6187689174902552867, + 177165377787284210, + 1800082308081442402, + 650012002436860807, + 18136967525525260687, + 9367827803368940677, + 4759211907840234040, + 17857631073746027799, + 7320151532867201657, + 13467399988359745109, + 15258653066621984783, + 11395691283845144713, + 12702737557795058594, + 7616832549448029934, + 10605001798863570900 + ], + { + "siblings": [ + { + "elements": [ + 7120298569573776087, + 4284916008366109798, + 6081453831709404057, + 11234178216194544855 + ] + }, + { + "elements": [ + 16058994329479445997, + 14758572221588900772, + 8273932344077507012, + 6010612351181638488 + ] + }, + { + "elements": [ + 16469930711514152765, + 14809096121345123774, + 8597969836670945007, + 12550766332442290169 + ] + }, + { + "elements": [ + 8356592885452350434, + 1787210362313028495, + 3590564859409112762, + 17094944794949284419 + ] + }, + { + "elements": [ + 551186709692395286, + 153233895306186159, + 7811120835308942865, + 17495974768211743827 + ] + }, + { + "elements": [ + 8494424575478302520, + 5509443357818749143, + 2911818619196259154, + 9497836309958158577 + ] + }, + { + "elements": [ + 16030590979148726714, + 13202379820358812601, + 8007273250388114880, + 2017128652803601689 + ] + }, + { + "elements": [ + 8185431228741303184, + 17008341166000625050, + 13146268929546966300, + 6292717925912524498 + ] + }, + { + "elements": [ + 9598784686883637952, + 15157316023374124939, + 4720356358288278656, + 10007406293344100248 + ] + }, + { + "elements": [ + 10562845231252500183, + 10901905789343985660, + 11432148465971661959, + 13907870345238100622 + ] + }, + { + "elements": [ + 15600858896006305224, + 2349251603054434728, + 8012605080695972633, + 11753148784120029553 + ] + }, + { + "elements": [ + 12652265019539043299, + 11123650176374550870, + 544917472859935778, + 18022725076842267676 + ] + } + ] + } + ], + [ + [ + 7622045231410750451, + 3413403115149993126, + 10817959309287971362, + 14122468165790930743, + 12181473679181121381, + 8897491183940365405, + 16845345441730139920, + 4919858233100786883, + 14517630219511464700, + 9444610296668788067, + 5279752895700554518, + 3072518796658371710, + 18084302974041253576, + 633094707345582354, + 3598793338377965461, + 11845883609778696942 + ], + { + "siblings": [ + { + "elements": [ + 336151173654937076, + 2314560826450639572, + 10155585171872030653, + 7242626384549056801 + ] + }, + { + "elements": [ + 806675450210145454, + 15020091537103410867, + 16866535930592585032, + 12371232859011470255 + ] + }, + { + "elements": [ + 13919443332759977292, + 14872184364314101092, + 9281620051355286179, + 6222853086897744369 + ] + }, + { + "elements": [ + 610901106437188331, + 18167701393510468297, + 13385142992323321947, + 11206922833375266629 + ] + }, + { + "elements": [ + 14878328554884745627, + 16906587266196410981, + 9609585864645473432, + 464514579425829466 + ] + }, + { + "elements": [ + 13154639549065033087, + 9972394495027405620, + 15089973583636191096, + 7294664153731405330 + ] + }, + { + "elements": [ + 1234049249343257258, + 13211027978751171958, + 15148754306574572566, + 14528467174652218667 + ] + }, + { + "elements": [ + 11798576504045896995, + 14901294966283112155, + 6114894870530039701, + 4705982712009752113 + ] + }, + { + "elements": [ + 1103445714682792011, + 15297629238061816147, + 7196336679001186471, + 10315973421184502544 + ] + }, + { + "elements": [ + 10316802567021207108, + 11143240990511725366, + 17344457898520459414, + 11724075497244306393 + ] + }, + { + "elements": [ + 16007263152902348020, + 12649044338336163167, + 11655484209780177109, + 16980538974650918853 + ] + }, + { + "elements": [ + 13494223796257754497, + 14009278662302294258, + 5009558379794582138, + 15866555590901344524 + ] + } + ] + } + ] + ] + }, + "steps": [ + { + "evals": [ + [ + 5368340882267585813, + 11081840296936547050 + ], + [ + 13703667273728899964, + 1314031931579436195 + ], + [ + 2311369568120775071, + 10751716528338592453 + ], + [ + 4857252912906060891, + 5771757446847752364 + ], + [ + 9049638356743935323, + 3929607768997406939 + ], + [ + 8874667780988754280, + 3358447596466414403 + ], + [ + 4788403387367004211, + 16559842292666495480 + ], + [ + 10290202671887798206, + 12246915512286947528 + ], + [ + 4437382562895115573, + 10620641996120474381 + ], + [ + 16358420934508990939, + 15238714506416883285 + ], + [ + 2810357277358997302, + 738532999105999176 + ], + [ + 12881176116612198353, + 3562955400461666786 + ], + [ + 13000259635003781304, + 1131183080672617466 + ], + [ + 6482557532805710027, + 594311992317949450 + ], + [ + 13965836405172609425, + 11789572553133398238 + ], + [ + 16052368022048773136, + 896937118872985167 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 1590874216941188681, + 7184897240260474384, + 7572783449558893492, + 8296039862433914651 + ] + }, + { + "elements": [ + 5666800867850718035, + 13549597495437359575, + 17651032437636726127, + 17761500629994953185 + ] + }, + { + "elements": [ + 7187779673771611977, + 737451446969718775, + 15820556089576289244, + 2925681144324029202 + ] + }, + { + "elements": [ + 9058972495518022488, + 127473648645948055, + 15761370671303911055, + 1456365684437558081 + ] + }, + { + "elements": [ + 10011944765313165708, + 34893089231323423, + 14643125422786768082, + 18024121685090389393 + ] + }, + { + "elements": [ + 17419284351133979255, + 7338635471647291966, + 4603345664591445314, + 3853006847116652851 + ] + }, + { + "elements": [ + 2607264788136027741, + 18404553317595763914, + 1080703217436599156, + 510506967510923189 + ] + }, + { + "elements": [ + 2085425289291080466, + 3770097039308950392, + 8123656163546302385, + 7427307005906979715 + ] + } + ] + } + }, + { + "evals": [ + [ + 10569690406489998818, + 1565785581980149632 + ], + [ + 1640553986307566034, + 9952566586462897336 + ], + [ + 16729436518735348846, + 12884108030522890264 + ], + [ + 14773741082367489946, + 14483007138230079231 + ], + [ + 14509975236842617817, + 16121754220534767358 + ], + [ + 7977582559928841084, + 18104187060227872728 + ], + [ + 3529622595947602098, + 9872066023383338015 + ], + [ + 16734143320889675898, + 2746105206330456426 + ], + [ + 10177317921236565476, + 8220917322591022365 + ], + [ + 12867124521639801208, + 14366794326145370390 + ], + [ + 7728079114874144739, + 12154184895675600619 + ], + [ + 6501837496965502648, + 17616112888631579771 + ], + [ + 6220485037379930424, + 13499533994867664937 + ], + [ + 7498950644219372223, + 6466913426422062406 + ], + [ + 12787293055204830277, + 4191678357220257350 + ], + [ + 2207476678454936437, + 1279787568140372044 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 6973502078162604431, + 16296632247511245847, + 517820351628781441, + 9937675486454248302 + ] + }, + { + "elements": [ + 17301657771018139273, + 280435227171296354, + 6780478366415304734, + 18398484092000112804 + ] + }, + { + "elements": [ + 816175092379059692, + 8159884308303194673, + 6295885079007253258, + 4524591443127740160 + ] + }, + { + "elements": [ + 12123417033887966207, + 14033768930141160135, + 3579078291112504008, + 9242870402831643913 + ] + } + ] + } + } + ] + }, + { + "initial_trees_proof": { + "evals_proofs": [ + [ + [ + 4507938420543406597, + 3334005961875869815, + 17161499770014900950, + 16789297301824924234, + 5179156847175973801, + 4148356376375311782, + 11163632597844780735, + 14328509917943194187, + 15640103538624350399, + 8788816052782590791, + 16857634814420700614, + 17173704005030511007, + 6732090766775203181, + 4007328501545043111, + 11811921554655231419, + 2251021854921735191, + 14478422960337485829, + 135532940114953504, + 1293227294442593465, + 9026902507560502916, + 5464880158791632985, + 10701664441107215303, + 9083730508720287147, + 130460052157978198, + 6253806887447365421, + 11618197001734896896, + 8940971183938316572, + 10598468192848100149, + 17783407160683706826, + 14428679029143004758, + 9061210740777846522, + 16278162053094106225, + 4809701862560036307, + 16899545542644746323, + 3138844149564676148, + 5195482238123773348, + 11308259071539494701, + 14093735967873601240, + 5392066489537421534, + 6906502490249566552, + 11092645676709050565, + 13218437081801654499, + 263608334318863073, + 354585585751046700, + 1364088833905289427, + 6094436155767479394, + 5733252860487658641, + 3690007349776341814, + 7420852702593597734, + 9504025920734348240, + 5156999661789033095, + 1013130115424943122, + 37144563191058321, + 9684595940535275413, + 8755533542026539444, + 17442985496124163802, + 8544961482199966434, + 620893206448599388, + 14050757790721293082, + 9273314831446689190, + 6026091768737134715, + 12782176112904820384, + 6675292992828628754, + 11004034258863878571, + 16284898775721106299, + 17876948773854570266, + 18069091702594917946, + 13355482915256026597, + 16037513381246844895, + 2262422643323196541, + 6705619015696732257, + 4153955012728488001, + 12349192180093108261, + 1098235368551483404, + 8203111479986653061, + 17760964676702822136, + 11157234161673901697, + 803006602612488474, + 13800425012245047374, + 1161004132962010221, + 17778132780983754789, + 5448090894919356272, + 5334173949761998598, + 3928583371214729156, + 74795052388503408 + ], + { + "siblings": [ + { + "elements": [ + 8222220876685022523, + 11306809090885302510, + 6468094215050099916, + 6056568125738807121 + ] + }, + { + "elements": [ + 11795676753073102052, + 16052053027046140630, + 12858716562637668348, + 6832606863329854078 + ] + }, + { + "elements": [ + 5770473434463440794, + 5679865452554939955, + 6261476813142361495, + 10161997216270199624 + ] + }, + { + "elements": [ + 7823035320777158663, + 14502976901063505222, + 11902845460817222023, + 11950760495912581988 + ] + }, + { + "elements": [ + 801859906190979774, + 14034728632466547370, + 17292554279798623321, + 18223336888276669387 + ] + }, + { + "elements": [ + 16231888998894238130, + 6782864153795611807, + 7844212996730606866, + 8085502151717802826 + ] + }, + { + "elements": [ + 5519548276415963871, + 14840438165164558664, + 14761008769462324311, + 11356301879479076074 + ] + }, + { + "elements": [ + 8419307008596317209, + 12059413024702080256, + 3480959199098722802, + 17593782959362643900 + ] + }, + { + "elements": [ + 8243761928830679368, + 3541138805677959568, + 17743378765093475039, + 12768142156581460613 + ] + }, + { + "elements": [ + 10413510376482570481, + 14035656116490793556, + 2990680235129421647, + 1391026397832756227 + ] + }, + { + "elements": [ + 765141977190388469, + 10730154234363901950, + 13316500210145963187, + 1730425876933465151 + ] + }, + { + "elements": [ + 2973589177876734705, + 15773736606258758032, + 4624289460020294370, + 15528055935779888074 + ] + } + ] + } + ], + [ + [ + 7890652335679477155, + 11533056979049116416, + 5513681366825960038, + 502026001948433321, + 15843395490541648512, + 3096274882400874681, + 503348954085445050, + 5324680230429939063, + 13689611579528356979, + 7363178509064345112, + 17959149027531409504, + 13607049373071332428, + 138831448877782691, + 14541753746356550939, + 2476247504229796130, + 3648496788042666080, + 12638981400688788739, + 7936598598947764674, + 13693115998958283254, + 8563674662372783784, + 16953230042905074069, + 7263268655551763374, + 13983926958469744720, + 17812946351862132718, + 5134165185553623700, + 13124706705246608397, + 15234503095423061345, + 176360860975577086, + 16721429379483410041, + 17865725905895715305, + 12860814995453980616, + 14220434157373795914, + 9365578574480132136, + 18053400000118973587, + 10239193332866267470, + 11801564313519441426, + 9917706558549058746, + 15166306014359325782, + 17749242078798735400, + 13537464852772436425, + 12967870576465783145, + 2577177161469652594, + 10744190554634421192, + 7359981444418505551, + 16451826527936152456, + 4216776962507387431, + 39836727363730843, + 1765069599456013992, + 16087798729562108230, + 17591342058935225032, + 14010915138445194039, + 14290847682506536792, + 13264019527555035, + 1832373755755384777, + 1515752899615387499, + 12363320817883900981, + 5505403104872741412, + 17783525572544737378, + 12806018070511357570, + 17092318168535226449, + 17547644936545276154, + 13281400175210597374, + 4563273087651509009, + 14275090384406426127, + 12256590594794760014, + 1737688230463941184, + 4615020968526129142, + 14993431623999651909, + 16955300050795010047, + 13009743715329443670, + 7419654848047625606, + 40724545868499744, + 7537701356521031878, + 6171410142412538604, + 1899431445638215131, + 908873477482976025, + 15810550444411225184, + 6838136714832884141, + 3296186578839632928, + 14134513446757700577, + 18140199598912144693, + 15282670570404344799, + 14521798906970877474, + 2077457418041392605, + 18213018185045411362, + 13109171008364494458, + 4567686447529870686, + 11608154111221834109, + 11697337266892196569, + 7841698837960211597, + 9745628122489034412, + 4837271003088601112, + 16592815982073368397, + 9087196656213865175, + 3391346734066682829, + 9363887755258117799, + 10683406703308086598, + 15739077440446531288, + 1954395590127522289, + 7057161522727543320, + 7065398364340915730, + 2807420845791354762, + 7308498958123551533, + 11260127214788480687, + 13798319767588018859, + 15058556369870579911, + 2795852103348181676, + 8322686455554445403, + 17367032663723706403, + 16694211375061859879, + 13687799559961073829, + 6668394992974804740, + 4633940686944910481, + 8189806561557936874, + 16276892289146515515, + 7637953809292864411, + 4295113799134858109, + 18004629347693415662, + 17724658635343821994, + 8107251741441334680, + 10477679645704374250, + 9588026847186407585, + 15008038467957470056, + 14921365067646462327, + 6200383180382035025, + 4049510220211997472, + 973641801803526637, + 17697284582489468589, + 13206346355124866292, + 2578574857426004122, + 2672327193706800980, + 10948532959675866515, + 11224371749163980509, + 201901371841378722, + 13847752124714567052, + 15471033030079632808 + ], + { + "siblings": [ + { + "elements": [ + 2019299826494203948, + 2203710685747262822, + 17561708340443753038, + 8282263912755457110 + ] + }, + { + "elements": [ + 5032807840524198581, + 8567888612519432420, + 2018959606230170009, + 11909257033034035348 + ] + }, + { + "elements": [ + 16741538142342304210, + 15428560212889517613, + 7028421229629564176, + 4838288861287120164 + ] + }, + { + "elements": [ + 12066633785751411374, + 18331835877108607409, + 13771241400381474576, + 13628097755490179893 + ] + }, + { + "elements": [ + 6926183951851911152, + 16561963168784228897, + 1592050092191690824, + 11834803650071105521 + ] + }, + { + "elements": [ + 16612143659853049570, + 12759513031488396966, + 1844564689467284944, + 2369757093509700284 + ] + }, + { + "elements": [ + 17814563354725876012, + 5749003743482513389, + 8265538981402078593, + 6162489468146107628 + ] + }, + { + "elements": [ + 934867591878894971, + 12707479838133790648, + 7177280954742409354, + 9623355875108225744 + ] + }, + { + "elements": [ + 8049018401105504027, + 18029780925769652352, + 13639514850235361034, + 5747610892111456243 + ] + }, + { + "elements": [ + 10958460833462725310, + 11763261193663963698, + 9532790662562612828, + 16523171008783367110 + ] + }, + { + "elements": [ + 14509633860275575305, + 2359014914658703024, + 6215572813660306963, + 4806468348024505435 + ] + }, + { + "elements": [ + 5371204529651157171, + 1744065591200746306, + 16308388967468185442, + 6581011607054517936 + ] + } + ] + } + ], + [ + [ + 17398987435075849888, + 16289682439809616382, + 1299198066894351312, + 10115640642967504718, + 15620112764633987639, + 309236328508229240, + 1043217219506627524, + 8174999805748989194, + 15939132664860011589, + 6460689930034450742, + 1406428213392820621, + 4199574723103330359, + 11108654949226183064, + 13874397356989491532, + 7917852276559547967, + 3516805629020412179, + 9613009291392257550, + 12951610685713089611, + 14181729113792897037, + 11954537078148095754 + ], + { + "siblings": [ + { + "elements": [ + 18349328897772595534, + 15222694141634084777, + 660696132432527880, + 11036930028970711675 + ] + }, + { + "elements": [ + 12486857939567489874, + 11810390774802741351, + 16732707537770994309, + 2047953043365237024 + ] + }, + { + "elements": [ + 4611708646457433339, + 11505616838447987434, + 888287204238708133, + 3109277123757968227 + ] + }, + { + "elements": [ + 763989624932645065, + 13474284654043850436, + 8210056470501347148, + 12339823226342910368 + ] + }, + { + "elements": [ + 10353054289203321444, + 11343304300917403584, + 3241370840070465310, + 926396201784634001 + ] + }, + { + "elements": [ + 16213823503082646566, + 4775249229911521433, + 6884062056284474586, + 2073143160003872418 + ] + }, + { + "elements": [ + 557086189403382210, + 1613920949284298038, + 9146800542860745095, + 14122917975075393049 + ] + }, + { + "elements": [ + 17794459481982309409, + 4955082248184494068, + 14572373894730743012, + 16319439629441841770 + ] + }, + { + "elements": [ + 16833634780174982833, + 17603596836961848570, + 2066829482663759542, + 11326740341587886954 + ] + }, + { + "elements": [ + 3344689583391633593, + 8754070073547073726, + 13010718843785677756, + 9762085366645991026 + ] + }, + { + "elements": [ + 10062884249595922678, + 7534117628110322702, + 9803456291238883939, + 3237309718754581565 + ] + }, + { + "elements": [ + 10694063149524760678, + 9306370119491355619, + 4765279780479236777, + 12468360836343761604 + ] + } + ] + } + ], + [ + [ + 13480451241343751076, + 6902930583879369231, + 7440408385029385977, + 2787299010382084774, + 9752232694039098916, + 14999054325318037591, + 505793289001916861, + 1147633396368891025, + 4641583099069054153, + 4213245144144092224, + 1290785661788796195, + 13762307107545716154, + 1211169472740735866, + 17601076151104507106, + 14021460768568322026, + 4231539177243284615 + ], + { + "siblings": [ + { + "elements": [ + 15790289928975791168, + 16946368931098328920, + 1078825665651613344, + 7417265741101455355 + ] + }, + { + "elements": [ + 14526281512555159637, + 10386360069986061778, + 5125074465336320609, + 15875058078922620290 + ] + }, + { + "elements": [ + 16824337778635813005, + 7050422508339337357, + 13137448692977310046, + 290864936486443515 + ] + }, + { + "elements": [ + 14793979527017646582, + 15792535169384246078, + 17007243525555896, + 6274067747257728279 + ] + }, + { + "elements": [ + 12905552743456944318, + 13099951580507535609, + 5798717712754771419, + 4575297339314776226 + ] + }, + { + "elements": [ + 13102753117811680019, + 11265098731182898175, + 12589997851227198779, + 8148410418151483582 + ] + }, + { + "elements": [ + 8648389788977311026, + 3123806324122513771, + 14276414044635697265, + 3932671204155366374 + ] + }, + { + "elements": [ + 6184523236632367976, + 16932824184478782576, + 15592235846174761223, + 17631544306316310634 + ] + }, + { + "elements": [ + 154809764951960899, + 12334587551531050947, + 3920447956344272399, + 18161091612483535445 + ] + }, + { + "elements": [ + 12413817369322617465, + 13120474682089971236, + 5212775968562084708, + 10302804777234933185 + ] + }, + { + "elements": [ + 11392208791101729341, + 12825730134292771635, + 11801322062928875895, + 12227865757204761619 + ] + }, + { + "elements": [ + 38652823051528817, + 14547095784393599604, + 2997752599633579103, + 628309181151269221 + ] + } + ] + } + ] + ] + }, + "steps": [ + { + "evals": [ + [ + 5095301630969650905, + 8965392214377127798 + ], + [ + 6056973782866824035, + 14052140328956613501 + ], + [ + 7195184587310244443, + 5881684416183773949 + ], + [ + 10489802654672914420, + 3961651794750627684 + ], + [ + 6944415263645403827, + 299791387067683042 + ], + [ + 9369717025909084025, + 16877016200213853733 + ], + [ + 16839100919434614077, + 9195245882633030016 + ], + [ + 9336340468088297117, + 16190517383312019331 + ], + [ + 16175342755205434132, + 12898333959636314028 + ], + [ + 14387191697689682610, + 10993052901258339167 + ], + [ + 1231609727872018708, + 16650074950348868338 + ], + [ + 2177964977149858158, + 16749871354750489205 + ], + [ + 13486831863790541214, + 3855126746330768981 + ], + [ + 7564820191305023190, + 12761609729490229860 + ], + [ + 5817294208928664286, + 10009042061091643076 + ], + [ + 17726278518323202162, + 17310607331102469781 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 4451189660047504570, + 10978445731480420376, + 11255704780218022270, + 13147158936477142501 + ] + }, + { + "elements": [ + 8261414045033556766, + 4417739293554096055, + 12713054136149596655, + 12256543768597633910 + ] + }, + { + "elements": [ + 15131590581077291474, + 8867804326911170592, + 9551723195420387208, + 2832345211722959708 + ] + }, + { + "elements": [ + 8654368448912643144, + 2050590495772915636, + 15265091594646918299, + 10986763149431362351 + ] + }, + { + "elements": [ + 12872591798615369231, + 12646305700930107815, + 4044528276868859342, + 16492215790570350589 + ] + }, + { + "elements": [ + 1778197461690037365, + 17994069072510564748, + 6651633156525490173, + 15228664687857888754 + ] + }, + { + "elements": [ + 15669460639723538552, + 15575327033949120423, + 14426085776084982965, + 6904285283739891793 + ] + }, + { + "elements": [ + 2189734051577023868, + 14475257043397523132, + 10491667115277862591, + 13238880107595820496 + ] + } + ] + } + }, + { + "evals": [ + [ + 16164421957643933549, + 5106267590308827226 + ], + [ + 14722020520220081076, + 7602637528590310021 + ], + [ + 12960327780104848929, + 5662477985459979204 + ], + [ + 15399179913521460796, + 4310621984327447466 + ], + [ + 9011101075764369315, + 1884150900103458227 + ], + [ + 12196355587691680682, + 14632312395828836122 + ], + [ + 13309193998617892629, + 13439808029013985068 + ], + [ + 10296886271106426603, + 12376217785147296386 + ], + [ + 6131246442833511620, + 6927350284889118433 + ], + [ + 13115789174914766017, + 4441976660818364070 + ], + [ + 595961960444058723, + 7214353653092107258 + ], + [ + 8289525004242519500, + 4617691263199376636 + ], + [ + 9911160520747324033, + 17612060755256949668 + ], + [ + 6398648758732947585, + 9818061228520453980 + ], + [ + 16719902372069167390, + 11508637295268841936 + ], + [ + 9820570014959300147, + 3660397651631782170 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 10845224509102623854, + 18392445776944770124, + 16582069308627714491, + 3820854307793551403 + ] + }, + { + "elements": [ + 4293863167738001397, + 12271479511742504346, + 7922243566703933248, + 5465396763873035319 + ] + }, + { + "elements": [ + 213321018457597546, + 10364066377188278826, + 9542558138588783503, + 261571528207710064 + ] + }, + { + "elements": [ + 3996511229446749568, + 13604431962031960708, + 10211095193179691757, + 12851532000477955485 + ] + } + ] + } + } + ] + }, + { + "initial_trees_proof": { + "evals_proofs": [ + [ + [ + 13636279463057062270, + 15157782923103739755, + 5542752905619988777, + 15101908022981162947, + 3518360158442644783, + 15944091063051390108, + 11843998605514069046, + 4999554731739876305, + 7625478259237487664, + 948758233132214934, + 14158654419616420184, + 7449165540754400045, + 14569229669016846759, + 11483976913549743673, + 1628085508347941467, + 11721241395687974052, + 14535695829259634755, + 10569027407361428617, + 13184050894441892726, + 6716731012799227079, + 14044629920748006872, + 7792853560166294470, + 3705974074788365643, + 4000657393550584884, + 7476238674555076623, + 14162227030512122920, + 14624060828526834756, + 2729746828448126050, + 440152084746581083, + 10915361274465440104, + 2603694318485953614, + 9805786658436793755, + 2690359344581581501, + 9037985085589671530, + 17028336909347013966, + 6081797408582625675, + 7828596345100096624, + 7370249889199910434, + 6714314798079599114, + 10794096589127944473, + 12428824536799623619, + 188011709360256909, + 8441340965355997719, + 7392857802315468319, + 4006316845417191070, + 17153301884289904960, + 11089831406601234369, + 9686868922654525675, + 3791828991152207982, + 10803016166127566657, + 1818660931287575492, + 7207440633238417919, + 13287233801194460266, + 3072509783468093146, + 5045207240249454129, + 17128392965019164640, + 1411345719215560114, + 154523947200817038, + 2866466492996174171, + 10095694347474733395, + 18426636915703564157, + 14252008653696439943, + 2514692360991679148, + 12681506839445324440, + 14981545668956626959, + 13115481968544394857, + 6087281334453281306, + 14410634447234990429, + 12964432924091897516, + 6940490477601959067, + 9289223017578690890, + 8273934329618799273, + 17931192562121779590, + 9888576008325748868, + 5977838186019539903, + 15913624672608752370, + 6392009883212445608, + 9907502516727838895, + 12764382275690711222, + 16742452661199705914, + 4810457304968195813, + 7954047628698777146, + 16262684661162783847, + 4594076995207851942, + 6580476006616394539 + ], + { + "siblings": [ + { + "elements": [ + 18238431943025906488, + 2553680309038167047, + 6979233910044731303, + 16854040453815798521 + ] + }, + { + "elements": [ + 8561927507483761848, + 17936117882135474759, + 9875101180079652903, + 17171018392430294967 + ] + }, + { + "elements": [ + 14987226378988308532, + 14105083083705396790, + 6364765507902064366, + 13118100299536757260 + ] + }, + { + "elements": [ + 14687772204101219390, + 14652124201978361862, + 2927436185412871415, + 1399240596291854353 + ] + }, + { + "elements": [ + 14398093685792025735, + 1596967173026353068, + 949639573571389792, + 13052053192573859805 + ] + }, + { + "elements": [ + 6290959232295374924, + 7135379488499261121, + 16498823815441005064, + 1925008697316532801 + ] + }, + { + "elements": [ + 6870167690645339983, + 17728487479881653093, + 5171930352144660596, + 7195564047630087245 + ] + }, + { + "elements": [ + 14822559811684421709, + 1398075349949360674, + 8089679818320895459, + 713573172967456942 + ] + }, + { + "elements": [ + 8112987830162874162, + 17455016834049504274, + 3666686730608445872, + 14280938349480177233 + ] + }, + { + "elements": [ + 17601904893118877496, + 7045107575755282192, + 15597230773210628961, + 1480787181406247746 + ] + }, + { + "elements": [ + 16685977291618544863, + 3528527942723102523, + 2113791761609864964, + 1238240568759611796 + ] + }, + { + "elements": [ + 7272279376046973611, + 15262074014635406932, + 1971284319967885558, + 4315829086538520199 + ] + } + ] + } + ], + [ + [ + 14479526573792254708, + 5819987690777490260, + 11311134546516383327, + 668417918815749231, + 9726310634107251174, + 15044510859293675268, + 7391864126214548116, + 514256405843875507, + 733580277761439612, + 12815542088838236622, + 11528994910669844139, + 3849793379816698251, + 17606664380973762026, + 15645028889285684155, + 2165698309471025758, + 12027068298065871061, + 4795208009306770836, + 5350995980417231746, + 12257792278039529007, + 2849790393795470848, + 355333967820051136, + 6085468449523737738, + 16599426944046968414, + 2695741776189082396, + 9082266192277595227, + 15449123342379700149, + 9881095530782322854, + 12431486300431749452, + 2654618461702386905, + 15846596049218729376, + 17529035082404794468, + 9782259875558054951, + 10558473435925699047, + 15619448643621108958, + 10747672094948558113, + 13232998412060742433, + 6971634786551665070, + 7790097817624182892, + 14734336432251559757, + 18407373591699713341, + 10209659857965671520, + 3328646920767840373, + 10038599852775477565, + 3648357507857792583, + 4155372947161524195, + 4266818841446642368, + 14948661448373478739, + 3204597842117130964, + 9492673083649570731, + 14539861086032127380, + 11650345853798713436, + 1745294722692760688, + 4839086460264507778, + 14018273462119335302, + 3510326513327435281, + 15493801393985369108, + 12884927077367253663, + 1376466167853840601, + 11805632201556614111, + 17353788000080330563, + 16766203595174248716, + 8251147044174950775, + 9046214412782401914, + 2012412551600655474, + 13391774075833382545, + 7601372597040281742, + 15413311059926715493, + 13206383851072852627, + 13362937920112493120, + 6610810183191127845, + 16124952377946567919, + 5342316711960624224, + 7008413733182016014, + 16141123067100162709, + 1397367660952703078, + 8032539609481954174, + 2083925381363085389, + 10630406087304639504, + 11612858753541436292, + 6105411149307780163, + 14370628749206554725, + 2937909299186536869, + 4295172778063241200, + 3127171523563634939, + 15139452260140932004, + 4536557756082655277, + 2050164791554425218, + 12608707523567507692, + 10476364218974988479, + 9803752250079490823, + 1710863255693983843, + 8030857731664214639, + 78097142079666740, + 5158175083289961410, + 14155244253536730359, + 11840888644925295400, + 1859571659623808753, + 73697186002530758, + 16598352751416312979, + 9526395452990056262, + 924261092905658577, + 16494118441255129334, + 8537677730969684596, + 2234412574092550566, + 8840821617875957101, + 13035118902743586836, + 15545788287622909449, + 5129177513812259690, + 16135853736894325518, + 8101238636106447807, + 4428225667457822202, + 2459533992327363617, + 16310531651270769368, + 17898780086678073435, + 8900084947498474873, + 1616883055110707161, + 5814075305542369995, + 9130612163551096620, + 14948597836084270391, + 3721391447264461292, + 7761814636650918002, + 16109379367711850209, + 18440884123197737728, + 5257982993187459922, + 8614282895624841702, + 11721848914665980650, + 17833626459994530875, + 9893117354002549101, + 14274962360513536564, + 13472558629233358196, + 5146164847217469836, + 8290834157963643724, + 12289524136636559731, + 6109707531968176703, + 893986656729939859, + 11546359405650216476 + ], + { + "siblings": [ + { + "elements": [ + 6067149459219047564, + 11114698461073138146, + 18339080036674266124, + 6555835784719746620 + ] + }, + { + "elements": [ + 2817752547539960143, + 13584364583507200963, + 15286672760048888584, + 4804004050407317720 + ] + }, + { + "elements": [ + 12770338681561657182, + 16974023659751308312, + 10936248354367674523, + 10697561431423477084 + ] + }, + { + "elements": [ + 3375235902681061063, + 6735432124481112083, + 16014685137734821744, + 12504387185475148536 + ] + }, + { + "elements": [ + 4784225140997438448, + 12075997758546272874, + 7329692740036453528, + 16329758263803500552 + ] + }, + { + "elements": [ + 13911206478229600189, + 7002204731989143483, + 11014743472502086016, + 4095218529894179016 + ] + }, + { + "elements": [ + 1708969759766877675, + 8123542196486488663, + 16984097360336118344, + 11746197833262836044 + ] + }, + { + "elements": [ + 13761802412784697670, + 3425669659566122247, + 2817018898961478483, + 13806294616824507458 + ] + }, + { + "elements": [ + 13656142277236712985, + 140069535610064170, + 10236429725137807982, + 3652023698028951737 + ] + }, + { + "elements": [ + 12133053654603920205, + 14156975362978967876, + 10542449760255380643, + 2419685959103142698 + ] + }, + { + "elements": [ + 11784570121875067878, + 4196912928953825327, + 773796959885340141, + 17298417953472560811 + ] + }, + { + "elements": [ + 5916589117628106294, + 8632011243734995368, + 7382416863532402342, + 2136237778676355282 + ] + } + ] + } + ], + [ + [ + 11190725170558862993, + 2973439116991962743, + 13589597608995763052, + 3246056971716237321, + 7481635939776409935, + 1264460378164072869, + 15025699800825723159, + 2876021514644742145, + 17739784608329829823, + 3956012118758001343, + 13248977594465876618, + 2222245984161516136, + 1617656539335320388, + 14407391319371546870, + 12348168613524511797, + 12884553314246519562, + 16916260508624126895, + 16022356785929938196, + 12924695369927803732, + 2564938982893164528 + ], + { + "siblings": [ + { + "elements": [ + 4260722762208398108, + 16245417209911145627, + 15235055597030466636, + 17641179766076369091 + ] + }, + { + "elements": [ + 5867314727306196278, + 12599856176374331276, + 5066278798198441459, + 565357558737579998 + ] + }, + { + "elements": [ + 12110331540210893131, + 9473352041149904967, + 17008417634686988695, + 8667510244136654876 + ] + }, + { + "elements": [ + 18069742334613157143, + 4891869176293985892, + 18117168020340194902, + 3420798056480193352 + ] + }, + { + "elements": [ + 4519728625928463748, + 1679834772500611953, + 9654827295586615276, + 2861299480341365223 + ] + }, + { + "elements": [ + 9610137934513490362, + 15432623630303687239, + 16860083364275268883, + 14061831986445223848 + ] + }, + { + "elements": [ + 18362179817693671191, + 8914941634108038606, + 4151282897304471317, + 8243638330011580607 + ] + }, + { + "elements": [ + 10819471542797220950, + 2387377958135859260, + 373261803657348112, + 16180360040144463516 + ] + }, + { + "elements": [ + 4901385247106849342, + 16717575118215233611, + 12039714705994050473, + 9734873658042781698 + ] + }, + { + "elements": [ + 16489884755196717495, + 12643631332738126776, + 12249195236543338040, + 5459633636681389304 + ] + }, + { + "elements": [ + 13271664617281865613, + 13509253999687802336, + 15026687919878109575, + 820964819511826533 + ] + }, + { + "elements": [ + 16076349443988773382, + 1860232306615850165, + 2957773837937075408, + 8915209123012881961 + ] + } + ] + } + ], + [ + [ + 10524885720596322762, + 10099009462490586948, + 12211067345503460887, + 15874892022009856311, + 17086553578613898467, + 18315325322812691281, + 390072585483987904, + 17823772670616330198, + 13154689616453845963, + 7095939109922986646, + 10488977828675660954, + 11340855021182620323, + 17746296656454125887, + 5799143739146227301, + 15972072832226979691, + 17742795743124209080 + ], + { + "siblings": [ + { + "elements": [ + 5814739235615496268, + 10239138928291775731, + 11026412822065492690, + 9381723447160639067 + ] + }, + { + "elements": [ + 17835537987273167955, + 8470672910810948452, + 15902069278702649693, + 7125236699487414503 + ] + }, + { + "elements": [ + 3505180776970490982, + 5634166456009770254, + 4506350262802916474, + 216743310833748618 + ] + }, + { + "elements": [ + 16570760437350477677, + 4175387807761755971, + 3081609595136590173, + 14188294823313829532 + ] + }, + { + "elements": [ + 18443033496184735985, + 14156981739399868368, + 6952476259358432788, + 14175599755790428222 + ] + }, + { + "elements": [ + 8334380852776824556, + 11049663262725963067, + 7976149220687540306, + 11050042233453747187 + ] + }, + { + "elements": [ + 8523712429598307925, + 16181973980197762017, + 14786715713913048950, + 10791812046989674438 + ] + }, + { + "elements": [ + 6112362860879599851, + 4010818809179258496, + 11171679415193601772, + 13791051847563959122 + ] + }, + { + "elements": [ + 11855726529239297676, + 11199948030304846540, + 13127621135161859387, + 3462082750522584013 + ] + }, + { + "elements": [ + 13449072722506532254, + 11093770818631366518, + 12791594638200773180, + 620543276698838822 + ] + }, + { + "elements": [ + 4222466854357698890, + 3700054645296023864, + 14176027225653884922, + 15553349053807000884 + ] + }, + { + "elements": [ + 16978508090409475257, + 9574972619683479843, + 8451587622069156077, + 915496278368210593 + ] + } + ] + } + ] + ] + }, + "steps": [ + { + "evals": [ + [ + 8307077584211698358, + 2823834843537078770 + ], + [ + 11625347963978099229, + 5495534525464625923 + ], + [ + 10007861706905823690, + 14983866381426976768 + ], + [ + 5639885158127679111, + 2591370235668008335 + ], + [ + 15300088785005256476, + 8003052613513250253 + ], + [ + 14814916715595829130, + 1121348245446031937 + ], + [ + 9579450073382115046, + 13270114573853328770 + ], + [ + 2952207988083347913, + 2312255781208698224 + ], + [ + 17931564826022889378, + 9694451312600741024 + ], + [ + 8955020385373387548, + 6045840837350827574 + ], + [ + 414987397269851796, + 14121093121810354058 + ], + [ + 15486651732728448786, + 3603708911847113781 + ], + [ + 10353178283593667655, + 13675421537676150367 + ], + [ + 7792213605081641519, + 11814494952894248240 + ], + [ + 7764112147322310406, + 8341517221585289235 + ], + [ + 1443817060852539638, + 16055551202836176421 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 11674120264507834632, + 8059090483095882176, + 12155621421288236795, + 692340119049899001 + ] + }, + { + "elements": [ + 5733535324738834541, + 1110217850151938493, + 4887734213546463681, + 8025132167649085895 + ] + }, + { + "elements": [ + 12400699342239803182, + 10655090532349546732, + 2269557454585657924, + 5446852936167247133 + ] + }, + { + "elements": [ + 5324033945366642768, + 11312344920273870993, + 12144265351305925664, + 7050296354841591274 + ] + }, + { + "elements": [ + 12239459175250849855, + 1211501692308889728, + 12495232592185325300, + 14136114442216272897 + ] + }, + { + "elements": [ + 12063444414225531347, + 6833787792915888041, + 15097299196928067490, + 15530089726600028609 + ] + }, + { + "elements": [ + 9246507472083300730, + 17784107669886127030, + 4226420303122717509, + 18233002044012409512 + ] + }, + { + "elements": [ + 2065575039228943372, + 2957727756630375521, + 3194118871444987770, + 13479184575748256879 + ] + } + ] + } + }, + { + "evals": [ + [ + 3662012046608756463, + 5627524055055133818 + ], + [ + 6075624541760251419, + 16720647609288697373 + ], + [ + 2790477713670938071, + 8629889280670748101 + ], + [ + 12806258061931743926, + 4325278402413129036 + ], + [ + 1788951098869317230, + 16049576172665283039 + ], + [ + 13069069710984158129, + 8379274813277705663 + ], + [ + 1126024239697744261, + 10689342373295927557 + ], + [ + 1534648167403933057, + 7588506697270818338 + ], + [ + 11562774749152062425, + 15121448712559151531 + ], + [ + 7612989468994273756, + 916082442376881564 + ], + [ + 3264894155074917242, + 5419521449803838281 + ], + [ + 18376240316592215525, + 15007902332081104267 + ], + [ + 2169414504914506767, + 8936525102440298817 + ], + [ + 975959901649868945, + 9002126827496200870 + ], + [ + 2467144982723953447, + 9961307715047566546 + ], + [ + 8330058471834698178, + 10953602920850226742 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 8046436911278295082, + 137246003473958775, + 4903683139927210354, + 16862149094162943844 + ] + }, + { + "elements": [ + 10102021838773308413, + 2048750679697755269, + 9593909857304364521, + 16508921321725583098 + ] + }, + { + "elements": [ + 14082570288871749495, + 7551733981467240013, + 12890958379927738907, + 16801359520845813444 + ] + }, + { + "elements": [ + 987778621308389109, + 2756599303693305382, + 17738787691521171823, + 13363913913691332645 + ] + } + ] + } + } + ] + }, + { + "initial_trees_proof": { + "evals_proofs": [ + [ + [ + 4459653836355113616, + 4415608156022811814, + 17873799018073097015, + 10761150698012554582, + 8082064551051989821, + 18284613222667789123, + 439087435353833658, + 17967773507791751190, + 16089207419755915343, + 16542529527818612449, + 12216765997509995758, + 6216924407927811728, + 4556741981684292863, + 4059464733006959022, + 56452096526540629, + 12519193419310423070, + 6444932483661492565, + 1649813279539654773, + 3163336570705004173, + 304151981682742081, + 4037798337623633397, + 12146616138925445028, + 10698942219251502610, + 12704090218216194837, + 1491464230073796480, + 13705017156055451962, + 13797270131348780389, + 7425298414400521742, + 10534714043248936163, + 5107337286125883792, + 3674905733035109761, + 4017889883261177086, + 16868342759338876540, + 18142655674269111045, + 17719236459510814567, + 9480287534897148397, + 17443753410548066056, + 11804412124437548205, + 5172198366230601332, + 18244016969432607015, + 15695866444543984671, + 735000158127382890, + 10007537650012826749, + 2896341116959588004, + 11652975274463695115, + 16942396502569260972, + 1239406694274712869, + 13293359248233390998, + 3183691107705165400, + 13029272843251405602, + 9924100758313025649, + 16790846458840188572, + 2416182233428780030, + 967153357665386874, + 14703086553175643602, + 1606774991392826203, + 10710843797593395515, + 18355204122940466298, + 6363892336857387333, + 12963111063620238376, + 16407573885117135076, + 10536410009798335585, + 4262510234439236897, + 5174381493589648032, + 8174488988758691968, + 7034722485111419819, + 11729899012860183921, + 4445739299606921800, + 13959985620072319904, + 8445345543798446798, + 8433623006826891147, + 5091944631996755711, + 12727027220839862014, + 7078744403639335532, + 10862156138895061966, + 11320761902835865886, + 15375803898390752149, + 12509521121915256602, + 1023755427462458691, + 4133874760644662148, + 13007489995813125361, + 11836927733882733464, + 10683317617878336455, + 2840980806215627760, + 1643076271784314509 + ], + { + "siblings": [ + { + "elements": [ + 12999719458683086270, + 9529189815597251210, + 12371851608410910650, + 4807964380408097587 + ] + }, + { + "elements": [ + 10029649020550327368, + 17804173114721637717, + 4892918244329903728, + 10468847084282899558 + ] + }, + { + "elements": [ + 14051810346932570308, + 12369328238842394545, + 3840138497305811236, + 5928501141607312451 + ] + }, + { + "elements": [ + 4753686038663581330, + 3363650190504316790, + 11704267194393785919, + 17416325354510769652 + ] + }, + { + "elements": [ + 7659565339538551348, + 15703525901274770684, + 2535589421755356018, + 14507760308699361387 + ] + }, + { + "elements": [ + 11440679860932635944, + 7964874938472981852, + 12907220450941356180, + 2269301969386396632 + ] + }, + { + "elements": [ + 8493108844866288441, + 16275325515538220347, + 5696242806913990463, + 5081292154794945446 + ] + }, + { + "elements": [ + 13547008709027918246, + 14907366865539961368, + 10264058457153038550, + 8529743653140186595 + ] + }, + { + "elements": [ + 3796778460688396809, + 7891175007002306909, + 14314569743172352851, + 11093245480649196419 + ] + }, + { + "elements": [ + 3259215115999387694, + 4767190332916492426, + 2533402069122807985, + 13258796380620650703 + ] + }, + { + "elements": [ + 2693360513564383249, + 15064255604033082057, + 9260285115138514841, + 17675326302732421068 + ] + }, + { + "elements": [ + 16984775529874453139, + 7227995275344896720, + 2937570043204679799, + 119584300188725330 + ] + } + ] + } + ], + [ + [ + 9035612705234413083, + 1254535986899274604, + 2050989668436386508, + 8642897118231272999, + 16826393473331294225, + 8608345106849941170, + 12114436056785506561, + 14558598530835270308, + 18195505835097797670, + 10404450988063145948, + 13075730609100719258, + 8432175626189655765, + 3461233712006909115, + 16669757330946156587, + 14562504510101210445, + 67756930594344534, + 11253204346635044982, + 9325971352290964379, + 8043770011878036982, + 13976584690469033292, + 13460455377710162419, + 13011338880951132088, + 6320236855063374912, + 4453318083821056349, + 10561583715059305867, + 17726162121818327485, + 16780027517782180722, + 8341644482096171831, + 9115784399319968438, + 8924544346429498784, + 2290068657338245694, + 1728766860449752209, + 12703741316002729058, + 16724530825533887174, + 14348940251754363553, + 3558042946054792681, + 3161944921561765436, + 17138167572573495367, + 14911420930629553262, + 5045301498123381572, + 7792371807417994921, + 12695530466752213795, + 7133335475397011309, + 16079206150238004544, + 13470844641507192051, + 4530544461886054558, + 2590876566311872113, + 3833828026130697789, + 18293421582043639558, + 16819503614203613977, + 11802697473473124009, + 2486208425662576337, + 6876026228057104071, + 11315781473524207165, + 2536770317226199084, + 8503999629966966098, + 16159127485984508046, + 7697305405858303289, + 7603003137650559331, + 11791044347823511881, + 8823155487502650053, + 12865678519919726603, + 16477901859559299293, + 5854196520508856162, + 6360651364106624444, + 8546870853991006770, + 13222930029403440023, + 10548146359967296639, + 11113258228033631672, + 16928784919315465695, + 16284249802442264870, + 6296671221003140596, + 1471686576809256293, + 13486016847099463436, + 11755860501395145760, + 1754219405285661432, + 15827133257928575806, + 3354975541433823230, + 9854189565598446327, + 11505302615310753574, + 14331983074076186134, + 9187609770818415877, + 8286601357956671309, + 2980125650164989658, + 7099765410333695412, + 9267105648732950654, + 7900867449890167155, + 13933772194755425612, + 2603684326078829942, + 96859609363317298, + 5862426167933613037, + 6557664607731078286, + 4496483437338784068, + 12706522309950620491, + 6380421847168564011, + 11322541399633409442, + 5956849522257681537, + 3573370552340113901, + 13389469508532652064, + 1371807441334858100, + 11005542106344626472, + 5326939765970957190, + 9576372321329473148, + 3076863748892703241, + 14976676599452655101, + 13494971229368952524, + 11189801951909135428, + 2044182850103341, + 15213603629495193476, + 13892444512748031573, + 8611223139416290001, + 3274577465181392798, + 10419677175743218623, + 10642677753683248933, + 13880257193772092141, + 9200323003094029733, + 7652294575348838353, + 7557197069518395856, + 12185088433272962247, + 14239512013203122689, + 16508959307420583475, + 13308912614345753644, + 11659036792946133766, + 13933816612644197183, + 5865677377887484904, + 17206004470816960705, + 14873531510899056431, + 17371887536996777391, + 8546104876083541624, + 1577903811137182363, + 8666940145975485160, + 11666284681662574364, + 6983965524646631183, + 5761287550022046270, + 4729567765883706935, + 6133542387824160116 + ], + { + "siblings": [ + { + "elements": [ + 16498599825789970711, + 16638050021031205389, + 6053943826790356262, + 1036281732508294333 + ] + }, + { + "elements": [ + 1276293960807513099, + 11693951180473018202, + 15929876446626847203, + 12246973132060241535 + ] + }, + { + "elements": [ + 14470391807330248430, + 4978433969888557779, + 8581782655968090276, + 9759773068878600777 + ] + }, + { + "elements": [ + 16984742723523737320, + 10095082177641842657, + 3140179997695967307, + 3262820234685518233 + ] + }, + { + "elements": [ + 8375886078443101022, + 18160797858519744258, + 4520079810147334645, + 13523022404027949833 + ] + }, + { + "elements": [ + 13254650764299230751, + 6899189754831073630, + 2902369286229597230, + 2725993164909974996 + ] + }, + { + "elements": [ + 17829406583550023998, + 5434357859751685554, + 8972907474728937826, + 15457914063043593738 + ] + }, + { + "elements": [ + 3740881120241083083, + 9039029577901541187, + 15684833125178923329, + 15900393538220801844 + ] + }, + { + "elements": [ + 1103904392388656101, + 3850823133568738231, + 14314140104594632483, + 12258619195292241401 + ] + }, + { + "elements": [ + 10030507061112317906, + 17835086682406613785, + 4007297860113816437, + 8118170228075496232 + ] + }, + { + "elements": [ + 7349240352728634351, + 910716285739058533, + 9727398211562326832, + 11382985485925838951 + ] + }, + { + "elements": [ + 17730703804114631783, + 9437900408694726603, + 18284460649684306486, + 6207662668225852479 + ] + } + ] + } + ], + [ + [ + 5236115905682549534, + 5303912415668263494, + 128981092372264322, + 7878302534978959470, + 11624376641156837049, + 9226345827574322340, + 11024767126364331907, + 15281334526702908959, + 1241980268192376230, + 3150614919938099481, + 3975542155634206365, + 16902902811331221503, + 2125800829974164760, + 17483306174631897619, + 3593684303391178707, + 6710070858327098638, + 8984597575232681395, + 16544204622290032237, + 14507385541124365776, + 7429805364736692058 + ], + { + "siblings": [ + { + "elements": [ + 16404157710943424992, + 319995616762091080, + 4847482607277218400, + 12809428316512281582 + ] + }, + { + "elements": [ + 2702028228517184750, + 4981234724045583808, + 16157009373135113876, + 15816452109600200841 + ] + }, + { + "elements": [ + 6221487039307838086, + 9805049000926227841, + 9899970813399362221, + 5891257351868899023 + ] + }, + { + "elements": [ + 5189520141916545960, + 6374067299397853076, + 5823391543705771085, + 9897698315800153093 + ] + }, + { + "elements": [ + 247921592971306046, + 8825928357983375190, + 18173302370665435642, + 15586861451147110603 + ] + }, + { + "elements": [ + 16187287694642321737, + 3763696819863268413, + 7015227287956412679, + 13188041636485019236 + ] + }, + { + "elements": [ + 14660810327977991095, + 573205240772215309, + 18318664716590296337, + 582279669268763861 + ] + }, + { + "elements": [ + 1435365434952040938, + 1879322729300959801, + 5693898988226493049, + 6725616819863724827 + ] + }, + { + "elements": [ + 9669473952970028812, + 7324348206474153385, + 5904512099243010465, + 11640471212477718748 + ] + }, + { + "elements": [ + 3236318196695533075, + 17987874858680459877, + 12027750290027443962, + 10328649595466842742 + ] + }, + { + "elements": [ + 11051281761504929183, + 17313427691775268360, + 271680387743515367, + 13188775851544624921 + ] + }, + { + "elements": [ + 1137865620982006110, + 3635387057218494750, + 5622054209009314147, + 15109519161175448191 + ] + } + ] + } + ], + [ + [ + 5161468279202854120, + 7411286465394080251, + 6644735863715190846, + 14559782487111199836, + 14167258624176862221, + 189196841868430975, + 2635099282826467081, + 6206829412930738868, + 875426466099283011, + 8869563805339515403, + 2145153663672221965, + 9611142071235477730, + 9293096646070671724, + 17766771647407941935, + 2332771859407661125, + 8806526354468746931 + ], + { + "siblings": [ + { + "elements": [ + 14799052165049710019, + 12601166732212978249, + 14979413096323753091, + 18292342319243199634 + ] + }, + { + "elements": [ + 12919087620913961272, + 17716960620086785568, + 6788765825717484126, + 9554622781222834366 + ] + }, + { + "elements": [ + 2688678068500047792, + 9555651934849393853, + 1758420982308323683, + 13747843202365589242 + ] + }, + { + "elements": [ + 14206576330011209529, + 2358811749834452830, + 6477504402817939750, + 8777033946132352113 + ] + }, + { + "elements": [ + 16146230055518151438, + 17983712503181122688, + 15504185462811862623, + 3041442751935775091 + ] + }, + { + "elements": [ + 16336490812322298832, + 13707129054296893669, + 3334269707300104068, + 165665152800745057 + ] + }, + { + "elements": [ + 2554103094476852572, + 7702767288828783082, + 2514713761261659091, + 10636273091971231536 + ] + }, + { + "elements": [ + 11518342053859497434, + 8662386602473842967, + 13047149212803629714, + 8111626046769879599 + ] + }, + { + "elements": [ + 5705228360912271016, + 16387766991130025053, + 457842846404149230, + 205104437031942839 + ] + }, + { + "elements": [ + 18194631796403593644, + 12257992222502495771, + 416570327269517376, + 16670049475526811325 + ] + }, + { + "elements": [ + 13067783055943618889, + 16410390076080306624, + 10721251091550799484, + 8079014224334377486 + ] + }, + { + "elements": [ + 11708738503977315443, + 13839322727971165272, + 2885177082950819129, + 14358300627430289660 + ] + } + ] + } + ] + ] + }, + "steps": [ + { + "evals": [ + [ + 12867940891978499600, + 718121374863037587 + ], + [ + 11828417864607595317, + 18399813554344388840 + ], + [ + 4882671015428169921, + 3129727556880252670 + ], + [ + 17096259632860483277, + 16619630570402158910 + ], + [ + 13614414729800504098, + 16966836527416097520 + ], + [ + 185210910927370744, + 14490055840167259052 + ], + [ + 14957863327349832697, + 13284188081512888294 + ], + [ + 3694219542446588555, + 12454081079448962198 + ], + [ + 12435508608383296268, + 4415913523763675235 + ], + [ + 4128823364204521237, + 7315667264749979090 + ], + [ + 4790621139412622598, + 3083214549447189653 + ], + [ + 18311496730363066272, + 1293352945728770150 + ], + [ + 9293406850946599911, + 8652488835298144140 + ], + [ + 8860227281276849581, + 5465170698914133367 + ], + [ + 13462446203899976508, + 18224870030807994511 + ], + [ + 12472042574117316448, + 6775992324516625551 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 5967982554492983626, + 8579121374654575308, + 15347198118181110419, + 1586474394883602280 + ] + }, + { + "elements": [ + 10656674289623008789, + 4786685043447817758, + 1398893294687794916, + 17089929662101821471 + ] + }, + { + "elements": [ + 13596420451149391149, + 16122666690787829526, + 13055224145370725798, + 8446037707588005669 + ] + }, + { + "elements": [ + 460896735874688883, + 8811848952774878708, + 10245263019104604025, + 10142998804975342017 + ] + }, + { + "elements": [ + 12440397196474173286, + 7508323029180062973, + 347467240523041796, + 4866771340678312902 + ] + }, + { + "elements": [ + 7556519075058723669, + 15247505748187364844, + 1656464873840745996, + 3063218276497208738 + ] + }, + { + "elements": [ + 15273403271570832314, + 6452429519183450129, + 9529710789777635664, + 4795533759304437571 + ] + }, + { + "elements": [ + 11387417012080233645, + 7499060233468710689, + 13625630668896037088, + 1147318432118969062 + ] + } + ] + } + }, + { + "evals": [ + [ + 17974968418111236941, + 15063545452348794189 + ], + [ + 1906659323467894534, + 10779681090941168928 + ], + [ + 7536663399479923581, + 2573824899365905617 + ], + [ + 7965316005864978611, + 7147063987332283519 + ], + [ + 14149969527804820801, + 14279254506827874896 + ], + [ + 13516328645899627345, + 568491290732469059 + ], + [ + 15843586945630440301, + 15848376523063781806 + ], + [ + 11345237362769621979, + 5078651425114617805 + ], + [ + 9569089055973422898, + 13416855968198384761 + ], + [ + 17957333926514867527, + 6090567411322953084 + ], + [ + 10019178313179785096, + 3715584897181526036 + ], + [ + 16963549041862061518, + 864058190552363615 + ], + [ + 15409592748692629409, + 8242106708602388568 + ], + [ + 14817274283345148385, + 17572685328311787120 + ], + [ + 7682962519612440659, + 6802556689187176024 + ], + [ + 306985838161569166, + 17034245962131507731 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 12855814415959959985, + 3122888751060458800, + 10029572708974380894, + 3010388077779194995 + ] + }, + { + "elements": [ + 14819032523851495665, + 10702228151820696082, + 7954668868482804733, + 4780962134968611318 + ] + }, + { + "elements": [ + 3275576075003326462, + 16144071460712349266, + 2377445071361901909, + 16977604991839886744 + ] + }, + { + "elements": [ + 18137264657449942163, + 7059025064640556583, + 13045763564091365202, + 3841550041369453510 + ] + } + ] + } + } + ] + }, + { + "initial_trees_proof": { + "evals_proofs": [ + [ + [ + 14897102414259580152, + 16686801303123108673, + 9915394042478799438, + 1187901824908044846, + 12341840610473791069, + 7174385090491397311, + 17853382975009911624, + 9037452079615590668, + 1336224457276225513, + 14324840971582202005, + 3352256958988659480, + 18338602711805010949, + 13993980315494900684, + 13045498788763972655, + 964500535760461525, + 10825210557216697, + 7348055246536244581, + 584656142045412655, + 5147433628913007561, + 12586736281542460560, + 9958277583676260831, + 13032304903480473581, + 4324042874720342683, + 10101028414842826553, + 15558779938116705996, + 4131912898857261044, + 14435516529129798271, + 14050428796328101609, + 5726953314966197289, + 6156652739905647721, + 4974861813098928862, + 567818176346407485, + 1477533746716322911, + 18248416229207388073, + 13310881205890511403, + 7736863230349868692, + 9925298139733459451, + 8041488988988558632, + 15863542443565641527, + 8620399943956894476, + 6949887338849319835, + 9137989729544502391, + 590504313744973727, + 4128793348164413892, + 8847073154238705091, + 9562720334277907022, + 4016846326667229413, + 16240024627753413833, + 10335367753975068205, + 6714991970528338287, + 1081016216765477634, + 10589733899906757687, + 14301824359280781152, + 16694479292031435047, + 5160924524385570883, + 9533703075306378203, + 8105216160092985159, + 6249251641820388301, + 8560692418995586802, + 5240990635393509368, + 13843823412338836828, + 3807423659956427267, + 7681935812597159025, + 3562521473107381028, + 889767399114471468, + 7611689354499316050, + 7196477140927347173, + 16855224586760327604, + 2648456916241216605, + 13332909388099059720, + 16227765661576413138, + 17050117103553043407, + 3035025615965478953, + 14916863072791321583, + 5038545099864609831, + 2875332605110388038, + 9064157072555295227, + 5293434470143315273, + 6904068766640866885, + 16912031902052608883, + 6659808310797636719, + 10154101648614848425, + 5344265771602552570, + 9875684195985850980, + 11003687999994831711 + ], + { + "siblings": [ + { + "elements": [ + 10209401473843946830, + 1717926904121167919, + 4335067732708348116, + 15679747047919314518 + ] + }, + { + "elements": [ + 914240281242968544, + 16871667376386389055, + 2116534676334141057, + 14205685278986145099 + ] + }, + { + "elements": [ + 6641531573842164556, + 10475618276039408242, + 7707419357005114738, + 5867806057851866783 + ] + }, + { + "elements": [ + 10758721262216267828, + 6132511355138727738, + 1030187558175638003, + 11206841187692973799 + ] + }, + { + "elements": [ + 11199290036450678996, + 4644140829435280077, + 9775639497549028466, + 4807845152153055738 + ] + }, + { + "elements": [ + 3821458058638199545, + 18022605014768535135, + 1842177748075225468, + 4600604836449605601 + ] + }, + { + "elements": [ + 10604608455241817384, + 4451745287665105437, + 17299843242548238105, + 2027956247680540343 + ] + }, + { + "elements": [ + 2669714619439177639, + 7241378061785402989, + 2725839935362096699, + 374553411001688638 + ] + }, + { + "elements": [ + 2326103905372863974, + 4959358367371986117, + 17980562078918235060, + 6704504457088150647 + ] + }, + { + "elements": [ + 14322354847789094443, + 15086661740088640085, + 3141374099204200226, + 18029890231315510969 + ] + }, + { + "elements": [ + 9160851327605950848, + 13229874179737596293, + 396198518704995479, + 8213216571172967348 + ] + }, + { + "elements": [ + 11402475503221838933, + 2607641797327923886, + 8175471678029012157, + 13342329273105681379 + ] + } + ] + } + ], + [ + [ + 13249463166006452437, + 2623942143018270853, + 2402310981614304013, + 8805518381101136582, + 4811738139030319762, + 18293617687135753353, + 14755592369347040054, + 6454744225078339945, + 2155491361376620719, + 9265301211941269976, + 12926912467602781070, + 8087862478391217396, + 16891823289390998556, + 5481255202378946862, + 15237244864199049744, + 6472025185348789449, + 7056703002280809269, + 7590761388850374011, + 1669883252532222372, + 4157674368058025683, + 10279838163543726327, + 4298965371262653729, + 16687985339305991363, + 14377228658979260579, + 3921022218423727987, + 17133134585653768305, + 17617167835228006586, + 4552508537379030035, + 16358900884945237602, + 2075655512342534656, + 7467326957745802805, + 2411367353834193773, + 18243072645626007619, + 15990377634755585972, + 16989658282624126089, + 10940680503312196183, + 9637804268769424302, + 7481997383723940678, + 7932573340493366860, + 16204967755994608807, + 3556893718558877248, + 972885393245833052, + 6657183952419759358, + 18432234734055642190, + 5595952206352403686, + 8382116199862455106, + 1590648260233074400, + 7961471090379745067, + 3363931473478550733, + 17664780237605831040, + 6561597728996008317, + 8968173237972834700, + 7427485524850470608, + 1972473991540176351, + 8588318085723426076, + 9642101874599647813, + 6767342526846163032, + 18157618621873096778, + 1713872930873556458, + 2432804179766942225, + 13988180672863844734, + 18251805348507624914, + 3695068556474071690, + 1396276516962577934, + 16163062476441034318, + 12554379192592885461, + 6136730686692673172, + 3836230838319222894, + 10511206725399939252, + 12639120014193100664, + 4949517226593437495, + 10983054624552155725, + 3241057662175825011, + 14673939468308555830, + 8284539620939166121, + 13186377564557922742, + 8208980535212472841, + 11560077229709235647, + 16229343677095566271, + 7102252678996267180, + 13560467339969719380, + 4342972345329943398, + 4035195404529279310, + 10726390785527416734, + 12815423859957034503, + 2011572338087751518, + 8554603402699089891, + 9167744588642243029, + 8101741332758193077, + 8979235727119279422, + 2577730284839531175, + 15773893583403110091, + 6872167745351728517, + 10313407217009169616, + 18053698292852474175, + 9383760251085092875, + 13728527930398314824, + 6142414371457348303, + 2590048576978566894, + 10877958512525527466, + 4179002140746142591, + 10282061108450377062, + 6688915192060238570, + 60317892748248802, + 8464590254922548567, + 6647143418863012415, + 12751930390673283069, + 1872432425695090685, + 16787747941464195775, + 1024256921082409283, + 9996986780913637119, + 18270680888926237431, + 2897948347877914704, + 1184350483250369858, + 14634491932761114694, + 13175419054326629217, + 10662719991020859636, + 7612951053413769147, + 6414671926784343845, + 3920566189741666370, + 9367053111185628326, + 4311448913553564532, + 6534442359029294356, + 18000684693102254109, + 4327841470536074712, + 10105071927244513222, + 2193871425971768909, + 3762976081816226372, + 10983603978770409982, + 4249027631156163383, + 17480725425586793166, + 8322392326924019970, + 15171167928598444541, + 14224556907312133003, + 9490321108523856943, + 11339708693599953463 + ], + { + "siblings": [ + { + "elements": [ + 6026576059470217477, + 10787313442676882799, + 15857989362323017723, + 2829587862891295705 + ] + }, + { + "elements": [ + 165991510786128930, + 15655495246155479025, + 5400878501689196249, + 15784976646026778335 + ] + }, + { + "elements": [ + 12637944334734415452, + 9217240058291874997, + 13717048845854269510, + 7207128685000175876 + ] + }, + { + "elements": [ + 10303752686563000052, + 9689249940733039897, + 9975141003035766795, + 16260395122641268072 + ] + }, + { + "elements": [ + 13850796664491048637, + 14793724959049490934, + 11898049433592482793, + 17185147027537014765 + ] + }, + { + "elements": [ + 6099245261681952772, + 5440523719907639787, + 5669392968678608485, + 5617557763915357908 + ] + }, + { + "elements": [ + 12523561363652362792, + 10908983273329256149, + 9395184668524105330, + 5091498289224967575 + ] + }, + { + "elements": [ + 6241526893080784658, + 14574444002824532134, + 2231747849345901312, + 3434147451083016454 + ] + }, + { + "elements": [ + 3517101174148776980, + 3925579408533892839, + 14189812602392459066, + 8650906960364827783 + ] + }, + { + "elements": [ + 953003202908410982, + 4292636929821711944, + 4416706680062731381, + 9391797159517545794 + ] + }, + { + "elements": [ + 13177754333351241908, + 7286094739512468081, + 6922733242937024692, + 9449027572349957431 + ] + }, + { + "elements": [ + 17378733827664422103, + 8928053274219396537, + 11602092897690398839, + 14653672260959186501 + ] + } + ] + } + ], + [ + [ + 13260604628514198857, + 17280077131173991117, + 4511404685773057778, + 13878224197649074153, + 7677699460851605484, + 15128642522907870102, + 803711289473454746, + 9811471123633545129, + 16467935334759834768, + 1421227450634407181, + 10588584592825139793, + 6772727688267850009, + 5715668889077201062, + 10837870398793624781, + 12096486130475975325, + 15716183230948890856, + 11112450224435832042, + 14130509146953342463, + 18150557311978567803, + 7318034149278353526 + ], + { + "siblings": [ + { + "elements": [ + 16814534185119400319, + 9973024328824910242, + 8709991430211889329, + 1646394086271720861 + ] + }, + { + "elements": [ + 3902971206253973983, + 8927707458998060105, + 3138914322670051094, + 14522646433810153832 + ] + }, + { + "elements": [ + 2741558285517934151, + 8401623292231616864, + 9967816767963131412, + 9174920811174195143 + ] + }, + { + "elements": [ + 17298690811155862189, + 14693214465680846815, + 15822532209371139645, + 16860690417174989539 + ] + }, + { + "elements": [ + 12449345228846260516, + 427733233279975343, + 13647996572129221009, + 3293718653933157065 + ] + }, + { + "elements": [ + 4512124079425790739, + 7505544724172193286, + 13637651075018476123, + 15734269950121956172 + ] + }, + { + "elements": [ + 4846972644648698935, + 11278161670568197866, + 3185155804613686016, + 5890223948342165569 + ] + }, + { + "elements": [ + 1520922799930800173, + 13619763444600174280, + 10397090099454468635, + 2205433014024620213 + ] + }, + { + "elements": [ + 6293242234895698976, + 4839186218732982423, + 14093042678439611555, + 1574677017167088043 + ] + }, + { + "elements": [ + 8139635790980604036, + 9485164704545425104, + 13989242139960819017, + 15176535032885939401 + ] + }, + { + "elements": [ + 2041843515907619840, + 14889844794844788558, + 14477212507021971350, + 172713993500455476 + ] + }, + { + "elements": [ + 16226927864056597398, + 8733820256619175109, + 2258020186708238101, + 8755300295871591924 + ] + } + ] + } + ], + [ + [ + 4915660353879081123, + 13266847086539103265, + 390702676488064815, + 8843091745231947949, + 16567161301016159226, + 16807516543772397097, + 2838201902412022943, + 17610926527367861308, + 13823773822571909863, + 15009423917273501942, + 10030273506869545869, + 15763021445748028207, + 318909743296089522, + 8060113345298069061, + 11632748569288420337, + 15429206392630787632 + ], + { + "siblings": [ + { + "elements": [ + 10917997982454405432, + 4695901755691685506, + 11692028330869827026, + 5581874688301342929 + ] + }, + { + "elements": [ + 5244933049277361268, + 13289126056820699702, + 4576462039785098753, + 12547285181483732292 + ] + }, + { + "elements": [ + 6799114968907488913, + 2313484948643953864, + 14582383490179026605, + 14885786215342562647 + ] + }, + { + "elements": [ + 6802553342686474173, + 6648149569260079067, + 4711740005879292114, + 10908031302171763334 + ] + }, + { + "elements": [ + 12653649622289635944, + 17176519890924940885, + 4256938376005163584, + 6915138705975658527 + ] + }, + { + "elements": [ + 8496122712731156363, + 16443384416479237572, + 13132823864383448938, + 13493362591653436580 + ] + }, + { + "elements": [ + 14412599814154233346, + 17873780110414964236, + 10363474754918618002, + 12884848663555564093 + ] + }, + { + "elements": [ + 908928794430622620, + 13923893726342414489, + 4282957350446498469, + 12066754553912431383 + ] + }, + { + "elements": [ + 12636653066491106404, + 6989366138698301655, + 5949652480993295760, + 11036288167741789449 + ] + }, + { + "elements": [ + 6221157548475386774, + 13766641234389903958, + 12822251866379546451, + 5614875523453245715 + ] + }, + { + "elements": [ + 2563141611551382761, + 17042712894469357929, + 13614302588421942069, + 9881362241491257906 + ] + }, + { + "elements": [ + 16180022277721994470, + 13904812228669033497, + 12135218297320988671, + 1890944412449792145 + ] + } + ] + } + ] + ] + }, + "steps": [ + { + "evals": [ + [ + 11447313590051604988, + 3901292916200669654 + ], + [ + 15345394279720670673, + 5538470725662904130 + ], + [ + 11802019926798355862, + 14006706792280161236 + ], + [ + 12106078532745127836, + 6039556158423911799 + ], + [ + 17389955394155482063, + 16783512397425454214 + ], + [ + 16839635086913594806, + 15861771123836785680 + ], + [ + 15157436547857849341, + 5402085514078663234 + ], + [ + 10105776377019715555, + 3257083095410172943 + ], + [ + 8399479882354371931, + 11486889142478604768 + ], + [ + 11099355470823827611, + 8524271368537985933 + ], + [ + 18257636289549687173, + 9543870809771318559 + ], + [ + 13643375834978401218, + 15034525444727224274 + ], + [ + 7116120490216005402, + 8996958711048275595 + ], + [ + 10743002411216513627, + 6401837524147628650 + ], + [ + 18287121988525233261, + 4254658694580616778 + ], + [ + 4985970638321768820, + 4933510699990898450 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 7376841514369704805, + 26658695976558498, + 18310722594552961041, + 13392090284844584517 + ] + }, + { + "elements": [ + 5663625687700358073, + 7482316931737838080, + 16951491447631621937, + 9630233769922036961 + ] + }, + { + "elements": [ + 9637719205033366798, + 12042721770013248259, + 10049990904410955283, + 6298043031468011125 + ] + }, + { + "elements": [ + 3022975235371660490, + 618414950353376702, + 16071401447197509701, + 484157037120723475 + ] + }, + { + "elements": [ + 16064434585523502381, + 14219190450153080648, + 4091629300649921369, + 7521840631245677515 + ] + }, + { + "elements": [ + 9965010104488849262, + 8152946172506115890, + 10099510017940509341, + 10204236337133767650 + ] + }, + { + "elements": [ + 1496646427884681320, + 14221194205149029467, + 3653364320733578333, + 16120209202780483049 + ] + }, + { + "elements": [ + 835851100286315128, + 9232199217482608843, + 583915661877889718, + 13833253973526835000 + ] + } + ] + } + }, + { + "evals": [ + [ + 17359420086520742530, + 3589524540391355612 + ], + [ + 13422274688762054663, + 2921061070092008880 + ], + [ + 15941417831688875770, + 4987083207892982117 + ], + [ + 13854054340100736684, + 16200929779872847410 + ], + [ + 11832622925019923648, + 15361621880148100318 + ], + [ + 11547522410469044818, + 5287798371740737595 + ], + [ + 14298079746308567144, + 9251394247348819899 + ], + [ + 13951838558510460937, + 3775409014864986433 + ], + [ + 102031901142122988, + 9822190347549800517 + ], + [ + 2706361956109194101, + 807906609654540301 + ], + [ + 3621834128422806024, + 6612998015545732340 + ], + [ + 6214900351595674138, + 5003472258733506603 + ], + [ + 7622525712602838537, + 14126521646544775407 + ], + [ + 7220676697960477644, + 16885919054003173679 + ], + [ + 17270117361326480240, + 8570191417909594981 + ], + [ + 7837776865718933598, + 11009872618875314638 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 2877789907422240369, + 14300656009223584091, + 15761403269549856501, + 10245470138614621792 + ] + }, + { + "elements": [ + 6490214763433286039, + 18959278690999269, + 1226983624749018386, + 16683093855216816624 + ] + }, + { + "elements": [ + 3765352929460722706, + 14287170081435443960, + 10944276410228567310, + 14654087411464280053 + ] + }, + { + "elements": [ + 8733507055948350909, + 15985619496442861553, + 7973873240640669202, + 18088136317789485598 + ] + } + ] + } + } + ] + }, + { + "initial_trees_proof": { + "evals_proofs": [ + [ + [ + 14138274281921911329, + 3005630465682911042, + 2621703305527336088, + 148823206593691507, + 17419829664991464067, + 14305493855721635269, + 874644181824502928, + 770100485983094746, + 4161584403261955894, + 5965780648168060268, + 3349593858708571383, + 14729952220723260858, + 8336910364531118424, + 16681758337904896214, + 9952065742655064803, + 17294522896420608064, + 13122107879722458584, + 13393658154926523080, + 14672946783162393021, + 8891828666757802967, + 10294839236191642784, + 17313711417298201712, + 17741452347498616289, + 10298487771960384142, + 11626187833165096751, + 8321481371528334113, + 9030981125282154132, + 6543893288176355864, + 10411024366700258107, + 15266254768585790156, + 13095736011672656030, + 5055834782194522778, + 3977395794697191573, + 9269936669828999094, + 15997113332831475501, + 9584814653672866890, + 10593505014464298721, + 18190992815449041912, + 7919626906972657722, + 14968349758643598805, + 9499749688025556790, + 1178496810294482713, + 5622880361205849857, + 9127023615857320928, + 7365205494016690754, + 17077940184476209391, + 3163887283227552473, + 2174157712790037914, + 3228608499356998919, + 3151593204436454156, + 17737140616750869344, + 11135025984442013520, + 17993405468788096011, + 12537780134703887549, + 7144395812738155979, + 17320512599213965619, + 16904539406434847544, + 15689888692055039636, + 6114388111642021926, + 18214162454925081523, + 8790930009683140466, + 6566590140304961091, + 313738554464810110, + 5646437298801663038, + 1228159819124073049, + 13836792279631438140, + 10870586011899908548, + 7407085722224724219, + 4649854932335534518, + 7821708077839080265, + 11079474670412808054, + 18120728279407728425, + 17596479804371833002, + 11503475453423155746, + 8594308473321316495, + 15581317253254589120, + 1937217212403494502, + 2620207290176110125, + 1726902826646632686, + 2189825502982949799, + 1074545637803756046, + 13764496120438717995, + 8917598242910948350, + 10447104304264088011, + 14283744165417568814 + ], + { + "siblings": [ + { + "elements": [ + 3501818629933647706, + 13668308076490147170, + 6473130153976877840, + 9710884856864875788 + ] + }, + { + "elements": [ + 12907262789974968811, + 10983627534228546597, + 863889029781803645, + 13804970031309010726 + ] + }, + { + "elements": [ + 18126662822652135140, + 5249901277812684994, + 13150274694423063395, + 1336225762046367019 + ] + }, + { + "elements": [ + 10069663883691531007, + 3218705683932237962, + 11766716151839933148, + 5877648676817918960 + ] + }, + { + "elements": [ + 9905928632791905149, + 12526317605803879953, + 17927058574292690974, + 2701190790167634614 + ] + }, + { + "elements": [ + 7701643878255062044, + 12535863705096143058, + 8694954655107934691, + 17495232445745372923 + ] + }, + { + "elements": [ + 11448809657666955142, + 3163962676899278589, + 5712053152593612080, + 11731684401049004669 + ] + }, + { + "elements": [ + 11125648399300361214, + 16915050371835663142, + 17312148709695252158, + 12684416630283490438 + ] + }, + { + "elements": [ + 17764068696720576970, + 14573492405321566462, + 12141805519774126630, + 17075774140143984175 + ] + }, + { + "elements": [ + 1343043494608234979, + 14926834777717168915, + 14952496846993215341, + 1573718972990227734 + ] + }, + { + "elements": [ + 9942341900407704969, + 9364547507256332951, + 1018250965377112121, + 490197902334236714 + ] + }, + { + "elements": [ + 1741305831903677807, + 5480809970740464900, + 2316338121095300750, + 17816325897397989105 + ] + } + ] + } + ], + [ + [ + 9248847568172164281, + 14232048290909938883, + 7432956385304424080, + 8582684091274737674, + 18269999454388045031, + 9717686332663001830, + 10283962712005043593, + 6990359094989035438, + 1133664712267598129, + 1780075201672403606, + 12178363593293803928, + 12555882909415675846, + 13842289694817598734, + 10264949949915211762, + 8042002660410965577, + 1372827055414164246, + 6190772395889438083, + 12198242457152769540, + 2177692198881258589, + 7176934126399943813, + 17427710316920381656, + 3951935227559898483, + 5416188394763657427, + 12512658348283255897, + 3900353620156402464, + 4041326132371799333, + 18189819789012725551, + 7354537209209942841, + 730800954330705490, + 2944193819146387965, + 2827000659078603235, + 1343421952677692962, + 15864692707045332257, + 1478068574143738133, + 3708364813249159463, + 5085245515449012596, + 9379048171165948719, + 8278983263279063687, + 10441366486311628261, + 1664389833988280681, + 8166761898660303214, + 5084048718892391187, + 8824464659187150538, + 10713236761103943281, + 4077573686261181758, + 5644614011463513106, + 10628243966203320849, + 6998103295627280466, + 12934100825546305237, + 4032702297286802253, + 14904619797767033948, + 4074087616555382998, + 9815708005002315517, + 4095448860493061589, + 13876669161093601714, + 6021311423351438821, + 10066165571305309413, + 8347180346340609520, + 17406377505150983382, + 340540275489156081, + 8526153775021135285, + 16668589277576820899, + 11446371576545141464, + 18424623457681065299, + 1740741488776100466, + 5782543020764201108, + 8363743987537038698, + 6675272264915984010, + 1696940412414035765, + 130391739492453293, + 16631685225025964618, + 14657263526270084259, + 8150979183290330871, + 16069306472646479753, + 6283227022348760512, + 8804403114920643142, + 8288881862702881780, + 12406808446099721997, + 9672425491671970095, + 10924515720711465686, + 10279581513759504935, + 6917468796501593740, + 10020784075523778274, + 8151021490064505708, + 9595849230560497976, + 11638943567890307445, + 2643683987948670568, + 17788016199951762276, + 16505761048460929001, + 13096770854104029320, + 2329050131445935001, + 95404540874750465, + 16479740162879326805, + 4988879537397762684, + 14259843685309161490, + 16442059145209267024, + 4945175142566137100, + 14811348902785987364, + 1119331021597333856, + 12268904854980112520, + 8826654188727395702, + 14000004836915475235, + 3411092052710269457, + 4327744394921545145, + 11186519857244774600, + 12593642324894904370, + 5130147989147017052, + 261429316684381230, + 7173053051522050189, + 16745552477944495170, + 5299018763828620888, + 8372765870264124292, + 16231664985015554938, + 9841851673957443245, + 307393444957559158, + 3128927458661052532, + 3273056486993538689, + 7410789821170377559, + 15992873791442086879, + 17466674700565005503, + 11628969845554143035, + 6397862767937011627, + 9546438881631763756, + 15575223369955509381, + 1366152912098463439, + 9287762774868121887, + 15385806846437218095, + 2148320707919174884, + 17231747241634917654, + 17931809089237262730, + 8759615779725787620, + 13611483408380265249, + 1090824632180075301, + 11276583540478235011, + 3269872880104405851, + 9230725099311434641 + ], + { + "siblings": [ + { + "elements": [ + 11442415667062566042, + 14734885235091387095, + 4262077242329674, + 17980100445360168554 + ] + }, + { + "elements": [ + 7071297428246398049, + 15066410808141392132, + 4974950314301132450, + 15694074248834211683 + ] + }, + { + "elements": [ + 829390042441300316, + 13573563894131264005, + 943832471878884004, + 16601595214605466759 + ] + }, + { + "elements": [ + 10361729081764570570, + 10612362827820934601, + 3936872682566922455, + 14940684641415983802 + ] + }, + { + "elements": [ + 1850656665814132058, + 2323709498275977499, + 12096420085480309680, + 6481871538231486947 + ] + }, + { + "elements": [ + 18027740582442487728, + 5593096331232212069, + 14343874124358499067, + 819500505994538239 + ] + }, + { + "elements": [ + 10522058235133951120, + 9340518425124852988, + 12653544422252366196, + 18130027607464755737 + ] + }, + { + "elements": [ + 10023472192093140841, + 12987783748130387668, + 6101994771691603982, + 4264007066010411252 + ] + }, + { + "elements": [ + 4202970934687078976, + 9385479020566694246, + 11967838022377017190, + 8255632911710304977 + ] + }, + { + "elements": [ + 9103310784442823319, + 7241293999859537933, + 14366983454979192597, + 5104420500113430516 + ] + }, + { + "elements": [ + 14980566420858007787, + 15425722152970816250, + 3983327628710146985, + 7023803752447181020 + ] + }, + { + "elements": [ + 6462895402124361100, + 10100594689711660448, + 13476936075098572250, + 14144213312841433106 + ] + } + ] + } + ], + [ + [ + 13510264989745514467, + 17491081163311875857, + 12201886558128542599, + 17693804592445318608, + 800071065630378034, + 12251991312587720520, + 18256417802903103377, + 7822304523908433974, + 12016136008682239203, + 10072841685113341818, + 2947985632939769814, + 14249226834897831691, + 1146517350599933914, + 289400207411375310, + 8797415110372362458, + 8946681950592795339, + 13092704065599108078, + 17054871304884850592, + 14973309173680830153, + 5442148271836421595 + ], + { + "siblings": [ + { + "elements": [ + 17165806642958148806, + 1938583397896267751, + 17202232100331226355, + 3855581201859420128 + ] + }, + { + "elements": [ + 948922739715452633, + 9684955670575092159, + 17587806752326083202, + 7269033943672808912 + ] + }, + { + "elements": [ + 3101359259964046181, + 12794443176965388941, + 14524829020580348897, + 15446096958982760970 + ] + }, + { + "elements": [ + 14964782375027030892, + 14213800161556676716, + 16217295618915603813, + 99845047105577232 + ] + }, + { + "elements": [ + 16107372219700028374, + 1844802233060962243, + 7392889721388317696, + 12952304321678795513 + ] + }, + { + "elements": [ + 7843370352133376136, + 15684927300697381877, + 13825829945266219153, + 10772191589703074524 + ] + }, + { + "elements": [ + 2860965356890869375, + 16634024338661419602, + 3410391354216817164, + 2645740740546833545 + ] + }, + { + "elements": [ + 2907425177792743289, + 14173974677871904365, + 16995765208347048074, + 7183841508467838264 + ] + }, + { + "elements": [ + 6958214807133077176, + 10621685756945202603, + 7671851164083776513, + 4162406853465911924 + ] + }, + { + "elements": [ + 4775462321994870539, + 17104608437877898477, + 17600287709244981097, + 15522003974373568722 + ] + }, + { + "elements": [ + 11335564879437011289, + 10970001337418212983, + 17075790126967780, + 6452698648351352118 + ] + }, + { + "elements": [ + 5541208646645012664, + 9967971131471393403, + 15994127439083626528, + 12921155696960777355 + ] + } + ] + } + ], + [ + [ + 5830140424987681134, + 11875638603638369921, + 6225428134321557402, + 15459142190781359015, + 3944624568907253620, + 11064317995403528407, + 16937292152970762158, + 4890563561199590871, + 2265536821831039488, + 4988893404381356163, + 15118204142814581273, + 10964036378663061615, + 10170013196623310699, + 16415201124867599957, + 10678727491674132930, + 14934550224834052438 + ], + { + "siblings": [ + { + "elements": [ + 6776422722769293537, + 17382038145394811407, + 18287381572318521365, + 4826757350709733858 + ] + }, + { + "elements": [ + 1429366422969352254, + 7695132404177132767, + 981302586121568015, + 1346351372307196933 + ] + }, + { + "elements": [ + 17197872695603535933, + 4515869118501747925, + 3520014563978639549, + 1682723055198254947 + ] + }, + { + "elements": [ + 4225562211546679691, + 10120489516655938859, + 15205997463127013555, + 5413707067141998447 + ] + }, + { + "elements": [ + 16663703912194092151, + 635605466340318078, + 12153680400583654645, + 13593881517713285989 + ] + }, + { + "elements": [ + 1904244310301721587, + 2903631333823648050, + 5927044946882328493, + 2198114101788553273 + ] + }, + { + "elements": [ + 17655731644873261283, + 12337792485216139205, + 10489549539854578642, + 12267884778060294191 + ] + }, + { + "elements": [ + 2759331734937586410, + 17642068026356389296, + 18159901363409072555, + 3211038578050048140 + ] + }, + { + "elements": [ + 14817915647711230728, + 18028134635189168742, + 5522897566255067673, + 3328378147632418787 + ] + }, + { + "elements": [ + 2509805174830572167, + 10149918534093356294, + 13345936309819544500, + 11324667837606338408 + ] + }, + { + "elements": [ + 7413607243559991727, + 6033790779077712164, + 2851622738965306747, + 13030049548879812207 + ] + }, + { + "elements": [ + 14257131555381864480, + 15818072831866910910, + 4704127797012107980, + 3945265647112950385 + ] + } + ] + } + ] + ] + }, + "steps": [ + { + "evals": [ + [ + 12933398916731725945, + 15016538401122315037 + ], + [ + 8949078477054802579, + 7985531589477857553 + ], + [ + 1884098717767254412, + 2507546532400462776 + ], + [ + 9858309956497192380, + 11713454514631225857 + ], + [ + 6140659057233126720, + 2876200137716213219 + ], + [ + 3904273425373418030, + 18361981179322748693 + ], + [ + 15801452775540987051, + 4880084587035450740 + ], + [ + 65483316844575886, + 9331153397413196443 + ], + [ + 4779432249878652878, + 8796601184124063494 + ], + [ + 14624758109557428839, + 15596155687163045585 + ], + [ + 4157897221180525325, + 7627139329639730523 + ], + [ + 17655681586136600803, + 930363126566620853 + ], + [ + 16321349721211998962, + 18431819865146039122 + ], + [ + 2956941966304480389, + 4803289652810627205 + ], + [ + 6709617710418280095, + 14737942412630832447 + ], + [ + 2213504752909207349, + 15393887325404529084 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 3046707189119587961, + 17386432945920830644, + 10174964348799700922, + 15176281113717033404 + ] + }, + { + "elements": [ + 10236117520133202511, + 2210542887501122189, + 14292060873053664781, + 14146684682883409765 + ] + }, + { + "elements": [ + 6766502078174975537, + 14874065387770346897, + 7893564044085623605, + 15459368727000328830 + ] + }, + { + "elements": [ + 2934458590943733102, + 3726157955919988335, + 17179287075080903882, + 18043513740383227101 + ] + }, + { + "elements": [ + 14367547708248282246, + 10597012225030582045, + 6142742278188840690, + 10236158572265374206 + ] + }, + { + "elements": [ + 11313198596663578443, + 4648180604078552686, + 7467301000440602386, + 10541029708365274702 + ] + }, + { + "elements": [ + 7150797459016506393, + 14918837089500506237, + 8297951427486697216, + 8403739302238604697 + ] + }, + { + "elements": [ + 13837968149454053179, + 7242804447025789516, + 17456854366130260667, + 4478884737487718529 + ] + } + ] + } + }, + { + "evals": [ + [ + 2279749089235854547, + 18270741799577272820 + ], + [ + 10372573014019908251, + 14256640528148322800 + ], + [ + 13228048047398844909, + 8214352475154940693 + ], + [ + 3490329383664591321, + 9631932300688202465 + ], + [ + 4239015279919039346, + 6857347761513658516 + ], + [ + 10951867233216455342, + 560806731799541009 + ], + [ + 16177629604583853914, + 15871654852287915104 + ], + [ + 12861544531022263229, + 5726139831043377036 + ], + [ + 9247932093812068657, + 338696907150534621 + ], + [ + 12177021077720739979, + 18227782083760934299 + ], + [ + 12599224772217866280, + 9280283263251761410 + ], + [ + 11225046878817538270, + 9864944871679476685 + ], + [ + 12244245616574177685, + 5908455366919974971 + ], + [ + 4922894042680655135, + 12545691456630768469 + ], + [ + 6391914664261936245, + 2000112884189617384 + ], + [ + 2725443003531438791, + 11256389195405766524 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 4331747318971292405, + 8518346518804629077, + 10236430559428664247, + 18068162039589799014 + ] + }, + { + "elements": [ + 13732879936987575042, + 3154148732664921522, + 9786916901307080904, + 15516039493766087736 + ] + }, + { + "elements": [ + 12692752340606607877, + 10417712196354433006, + 14322140002571728749, + 15941391791304204794 + ] + }, + { + "elements": [ + 7294404500707028406, + 16046248719987998762, + 10180941349479088182, + 9427999283923832049 + ] + } + ] + } + } + ] + }, + { + "initial_trees_proof": { + "evals_proofs": [ + [ + [ + 3654290801634229197, + 16416118774137059363, + 13192179811552075376, + 8012824763488807398, + 16905427171630248019, + 14486122415504948842, + 10752779301643537744, + 3129217225775154139, + 10549009525191946360, + 9082504993299708043, + 12350736998328180242, + 10762238936945530865, + 8986333293840949628, + 12187346600588704438, + 16980395145853537333, + 601236171523227256, + 9428722317691730691, + 4441937946576029444, + 14226161685211002876, + 7463988500411393327, + 5332428563263200157, + 1282675686138760316, + 12349862090487449303, + 6174603929186180470, + 4320197197756782413, + 17016319722364528072, + 17396443170756305455, + 17131386621138464424, + 14725453287555066480, + 9819812677860384984, + 2328340666745317628, + 14962211596684571089, + 7010749428725355363, + 8911638963781500936, + 3523813789710217042, + 9764319630107715314, + 4467528048461186859, + 6442908257907589353, + 18418350139637516777, + 15607949036279242594, + 9395049409636958570, + 5881901704145544441, + 59242494373673677, + 9200661083962223811, + 10085275817029089065, + 3852567238024326280, + 3959502198244243756, + 8074309082306546807, + 2014906761229892731, + 6858161244522156809, + 16428170429485968570, + 7406907695069332216, + 7500614646610796809, + 2597934076306193476, + 18345757479900296033, + 10434018190350780801, + 5974858962621097288, + 12810120156209382191, + 12926786075058015107, + 5369350666316431560, + 17869447584718971362, + 2906400224289256001, + 13666300632495734483, + 17316796913871931275, + 4137153883401093833, + 2218378245239302446, + 16543798828016148450, + 8086038144586668524, + 7013515159429298157, + 14946457014298711824, + 2521612095888131681, + 11204046801409674075, + 3290855158187806289, + 12592359596646501973, + 13764922047278098228, + 2521537903215896037, + 7401995768410384096, + 4975608514128089137, + 12873735193630504092, + 16471487028495440448, + 11373390884933962087, + 8078014383765023747, + 2678244152836547647, + 16442461052084176949, + 4087939702670436768 + ], + { + "siblings": [ + { + "elements": [ + 17105967863612588010, + 2578522272229702335, + 8036461627650207243, + 4994605843915127066 + ] + }, + { + "elements": [ + 6898622128337583173, + 7643457940757706977, + 8441101215827668630, + 7176613440988036855 + ] + }, + { + "elements": [ + 2329047291089280498, + 828762112797625228, + 7214385362711717780, + 13330778618136545344 + ] + }, + { + "elements": [ + 14653267779569324845, + 11349159967117462753, + 1965982529897261849, + 2400472217831228054 + ] + }, + { + "elements": [ + 8228248155649001591, + 8374733233754659114, + 15303526110111526716, + 3579637871041560676 + ] + }, + { + "elements": [ + 15324829196524270193, + 848014461216269826, + 392065332364399583, + 7236790208378659551 + ] + }, + { + "elements": [ + 11837897771476631325, + 5498465679141204768, + 12776749159529565005, + 11837836966673248125 + ] + }, + { + "elements": [ + 16776080847950082141, + 5868077923792042732, + 1305732249325740992, + 15592560717841382766 + ] + }, + { + "elements": [ + 8036707370328144763, + 15195247758489080655, + 10102063875028813518, + 4195490587118610515 + ] + }, + { + "elements": [ + 3131680524779531177, + 4074803298970098208, + 12555860643933611662, + 16457286448251445967 + ] + }, + { + "elements": [ + 5667730059243086528, + 16888950991267430330, + 6355774762519346896, + 13633644216688083912 + ] + }, + { + "elements": [ + 8826035326439534445, + 5079640769044186970, + 7574106541386555305, + 13449844050510907464 + ] + } + ] + } + ], + [ + [ + 16898928104877681630, + 10326321636365232849, + 8455564197718895768, + 9292255795627876091, + 8302619812723828686, + 10054936236072506840, + 4091808048570055083, + 7931309371950743359, + 1783967113533008691, + 11256140384430999646, + 3370276954137605112, + 2927902175980981059, + 17585894297391698097, + 8907922023241279864, + 2672330016684446126, + 13510184973760721153, + 8591278383364972740, + 5296487555094490886, + 15551330852089396919, + 6774260080958566814, + 3945540785853919271, + 3691165838886409249, + 6103464362787148401, + 120407801629986866, + 14607040801513129971, + 13031814710123895532, + 10823237854728603058, + 14567982598851415921, + 17397491191333012558, + 6159050925084763038, + 4066063358364862726, + 7031292039749936678, + 9254383096302393090, + 14801108641175941617, + 18043329443492323136, + 5147506886232286291, + 3426333042458099997, + 6531507267084228529, + 9076967056443277046, + 12511600008157897667, + 9616095984908626398, + 7489291036542024022, + 7190364707203099063, + 7057973762178605926, + 2341202642297827600, + 11492073008106181405, + 9579833682412631218, + 7825796411593072173, + 17252566552578030182, + 17738398120582356033, + 11631915319524174804, + 7476475393025407342, + 6877940144316096571, + 2061132891870629101, + 16774141086278279469, + 10868290010661678153, + 374530942803780080, + 17378944475723369783, + 12450760057261271064, + 11327367813235203251, + 11918583326906211229, + 11755802541542967765, + 2172482202750203641, + 7101040786078989510, + 8761198042260829129, + 5681674169170672778, + 11884124222200800219, + 15710818281479794196, + 4658283261101779032, + 115888832413443340, + 3068588130716341106, + 7726195444370920787, + 11729538939133165606, + 15625416326828572256, + 18162598018179565994, + 10625516324150368997, + 12018850015760709777, + 7173157898062656967, + 3119549942342844373, + 7268495358017734702, + 16333154626233525142, + 5405918781900327960, + 12425535155893664482, + 16141551321747978902, + 4695132021287900461, + 15635800974080009147, + 10695187042740722724, + 9816628435661265025, + 3200459064913133409, + 6886929214504122702, + 15166290819133657506, + 11019721102378329685, + 2017559066210195847, + 16698642253977805846, + 10862116382949321945, + 2342816493997636827, + 9149723544883483634, + 14143153767359927883, + 14713969908301368252, + 13322581651641571910, + 3394159754472302447, + 2656425168703888557, + 4708149027070020510, + 6364655883044668605, + 11941515251850008719, + 549041494355868742, + 5256256607284421341, + 3829831560357586100, + 10491724597515508708, + 17564724040161743598, + 2533707054327233563, + 3604481844938178642, + 11212787296323719422, + 10125835455448727664, + 2145254792232903186, + 9053869545777642579, + 18153914142425088671, + 15558816997660487263, + 302185078479849319, + 4361665735501545514, + 15958253300744975000, + 6225079260180299064, + 15259110397998536607, + 5744634673548720077, + 13454480718778217903, + 13454233589377916492, + 5300312099821135445, + 10711732405521844798, + 2999449947414894468, + 12296942994617644324, + 2683671814809033514, + 2368857575160250040, + 1333576395755789932, + 9796060129959180803, + 17598877939258864993, + 9873806227022165643 + ], + { + "siblings": [ + { + "elements": [ + 4944517089097244291, + 16179395680202248815, + 15808539503602371268, + 6820413539530858308 + ] + }, + { + "elements": [ + 15699267908064398490, + 6988535503699260961, + 8671758621647526119, + 10847040675038508365 + ] + }, + { + "elements": [ + 12877309091329097619, + 18066233938376619529, + 6794812126753326047, + 12447297325243720028 + ] + }, + { + "elements": [ + 15059905092572019432, + 16895705349388351099, + 2824400137300108090, + 1793851981057540701 + ] + }, + { + "elements": [ + 4722485565422571703, + 14026409954311870835, + 4002847280248153676, + 4055273671112922601 + ] + }, + { + "elements": [ + 10935422093873613463, + 6171608911256847659, + 17051861898307701299, + 14538825729266511029 + ] + }, + { + "elements": [ + 5854542614675159524, + 11563694729243525550, + 110313313401932087, + 345046555231317578 + ] + }, + { + "elements": [ + 12560453822517259698, + 14052988052794428246, + 15942313566174465812, + 7604522628616887595 + ] + }, + { + "elements": [ + 15355600719009167712, + 441109019082240301, + 8700421228302950528, + 8144572676044620546 + ] + }, + { + "elements": [ + 16779234109236055168, + 2518600167193875953, + 12963135967182897788, + 15416822806930742812 + ] + }, + { + "elements": [ + 14427318596942760564, + 2610571631153924267, + 1818322823478618830, + 1280512073710427865 + ] + }, + { + "elements": [ + 1146224895323592664, + 7184743192342396007, + 1564167110854756484, + 5669656036245352556 + ] + } + ] + } + ], + [ + [ + 13813279859477602301, + 9552872964303931370, + 2967476754475808408, + 14015759690897457267, + 17363314913770561405, + 11838732256987299474, + 1587472949155987149, + 8597951881138445449, + 5522336094584457058, + 12237207323069447169, + 6565929581862659945, + 8509019071399917361, + 11328440723966377623, + 10781328231772856879, + 15500580953333418676, + 5327716710272802081, + 2515115214335050098, + 3044102374495316004, + 7281932372896887389, + 8580803588302400935 + ], + { + "siblings": [ + { + "elements": [ + 15177488314468392522, + 10530407549315726643, + 9726523761236659365, + 7176646755242830818 + ] + }, + { + "elements": [ + 1126465522205953224, + 12323519045883745809, + 12009827340581697737, + 17717418051525590626 + ] + }, + { + "elements": [ + 15814293192734812890, + 16509837646659633570, + 14522680077379591162, + 12898063536945886766 + ] + }, + { + "elements": [ + 9256483853003265430, + 6625641313209514852, + 4835680834330435225, + 10015598244174854146 + ] + }, + { + "elements": [ + 9986549763477337833, + 6202769190829555334, + 10764593870612581056, + 17981222440431469586 + ] + }, + { + "elements": [ + 4768236679449109218, + 1226894149456778783, + 8320006304230326577, + 7633042445698094427 + ] + }, + { + "elements": [ + 9822325206304536345, + 6668115241939442144, + 1312000129679949894, + 15015108838274296057 + ] + }, + { + "elements": [ + 14624424838608245540, + 18222974953706566634, + 8276072254440043856, + 14684486247140250271 + ] + }, + { + "elements": [ + 18393751518010852747, + 4105865762540384420, + 4402716657646225912, + 14728415090270669695 + ] + }, + { + "elements": [ + 25677306940576069, + 12913507118958267445, + 15557383005664225838, + 10706347964332818746 + ] + }, + { + "elements": [ + 16415816090386397976, + 10533903638079937664, + 10196332869999437665, + 14729879215227023449 + ] + }, + { + "elements": [ + 10648261354864617535, + 10575537135768726394, + 6450932584881805092, + 15843354929993864758 + ] + } + ] + } + ], + [ + [ + 14532112457250299211, + 13892806379637267155, + 14087025644778099710, + 8537927282701444485, + 6514805789223602404, + 561618317145737643, + 1967925203922323241, + 12242499699153593758, + 16923568578149308635, + 1846363826211320783, + 2409666349169235647, + 15883785110256566492, + 18184822578151697263, + 3138889077817929614, + 5554465315763512593, + 13918147499903731533 + ], + { + "siblings": [ + { + "elements": [ + 16807795093359683728, + 8363024141048735154, + 1953453743186789563, + 10621718766262113364 + ] + }, + { + "elements": [ + 5076710140018928221, + 15782979302507265995, + 7831939519197315627, + 5227097297981441341 + ] + }, + { + "elements": [ + 2368260372568895557, + 6540388779356695702, + 13026361457281006421, + 3720503984536873857 + ] + }, + { + "elements": [ + 4989551273694262014, + 12810409041720344406, + 10337073591642686338, + 12496277611821162836 + ] + }, + { + "elements": [ + 3958136397040085507, + 15704978288479688886, + 10423641768452760522, + 15872097036149144201 + ] + }, + { + "elements": [ + 6615523109053504814, + 12083438250195182510, + 609351677119318017, + 6372884434790896974 + ] + }, + { + "elements": [ + 12884964853835355545, + 4875670213969967976, + 12502085659627914989, + 14878053821247375824 + ] + }, + { + "elements": [ + 14897304782579388454, + 8484926171241832679, + 13125811766647849871, + 8314446693199097667 + ] + }, + { + "elements": [ + 7614620526326323156, + 15888600916712168385, + 4174712446007776091, + 15792613519717137379 + ] + }, + { + "elements": [ + 9759472986093749721, + 14121038432225721543, + 16230125557360416254, + 13469878757855439422 + ] + }, + { + "elements": [ + 15601329579385997747, + 3816153852813824652, + 12397968905125603990, + 13484125247004387801 + ] + }, + { + "elements": [ + 5232995787533834328, + 15487255142817903337, + 6541710637908269382, + 15823522841434661023 + ] + } + ] + } + ] + ] + }, + "steps": [ + { + "evals": [ + [ + 400401285560270411, + 17198350779762942393 + ], + [ + 10396724380392322426, + 9694497633779525597 + ], + [ + 6181166098254187676, + 10895196050273348346 + ], + [ + 7172881909362932667, + 9022717164795091511 + ], + [ + 3182601347768328996, + 13817434772507968589 + ], + [ + 8490503286407258493, + 618641849077630017 + ], + [ + 14071340170578773094, + 13163988435560560883 + ], + [ + 10077572653504132660, + 17129916427930221213 + ], + [ + 13283707528335420829, + 6987724412215699164 + ], + [ + 8375875629916476322, + 6540866906674317033 + ], + [ + 14493196723621512266, + 16776870024609243932 + ], + [ + 10876679124991592002, + 9395637433326351158 + ], + [ + 17716054476503769573, + 7659450566489388424 + ], + [ + 7295463528976694697, + 10668055397833369377 + ], + [ + 1173957468587014284, + 7308072249959456146 + ], + [ + 9930536289930911553, + 14770789121928204890 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 718798175116859140, + 3946370632214988252, + 390936342390264473, + 867066743785435520 + ] + }, + { + "elements": [ + 8097297997682450444, + 7710199250963899265, + 12089698608961311868, + 7603707612144480711 + ] + }, + { + "elements": [ + 7521308300767573348, + 14536418529940315808, + 1588074182334286471, + 8811065476756540889 + ] + }, + { + "elements": [ + 14556741407654879143, + 18278289380021168205, + 5411821183748683114, + 8824426130744920799 + ] + }, + { + "elements": [ + 13421042901150264934, + 7999018760051763424, + 17215984059999111350, + 13342421665294346135 + ] + }, + { + "elements": [ + 12270537873469494739, + 18201621210921658957, + 11714604713731446247, + 14235109176456813231 + ] + }, + { + "elements": [ + 18297891302439764244, + 3288072271958929280, + 9281351696953496962, + 5463198573903627425 + ] + }, + { + "elements": [ + 9675012487243240807, + 6720714867264695913, + 3748122443626851732, + 5570061752425021667 + ] + } + ] + } + }, + { + "evals": [ + [ + 3558983480191200954, + 13371700322273131081 + ], + [ + 4615843416824760750, + 9184965624133476465 + ], + [ + 45943159845217092, + 6757486133602874461 + ], + [ + 6047633328928783863, + 7993161633676106295 + ], + [ + 1231826321667282246, + 16501380351071421599 + ], + [ + 1033239465748182224, + 12920942222753906515 + ], + [ + 4543753542737409916, + 11235252468751420968 + ], + [ + 6957787320814753909, + 6820992416746809838 + ], + [ + 16587980311820454537, + 13468109843503018052 + ], + [ + 10728828854051065114, + 4632980895455719983 + ], + [ + 242293973214489029, + 17602379024411702486 + ], + [ + 10511684259957663330, + 14348514055908104352 + ], + [ + 7082394052921035087, + 11246211210737185399 + ], + [ + 9007573513545875213, + 2602933777857618346 + ], + [ + 9467618677395971527, + 8806939908215196370 + ], + [ + 3535107804522191143, + 6697780005116639405 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 5350213622560354062, + 13072521731194474861, + 4100876873230197562, + 14999547872871971839 + ] + }, + { + "elements": [ + 3285328135858483371, + 16208059450312509424, + 11368817776070087769, + 12425837882606386527 + ] + }, + { + "elements": [ + 5861680513833080802, + 13185647238359352429, + 10274584076791455180, + 10110335063042809528 + ] + }, + { + "elements": [ + 7398407803672119887, + 10117690335202137934, + 12935771468236629264, + 17629529328190541897 + ] + } + ] + } + } + ] + }, + { + "initial_trees_proof": { + "evals_proofs": [ + [ + [ + 1556317535169226263, + 3330821526244403402, + 15797142149011519214, + 11538778350576865753, + 16079148819576781460, + 2812358054575312607, + 1635895087315826335, + 17997929957563947305, + 362094931679586985, + 6405632437764789777, + 11128104064617502249, + 17721703485878531987, + 6644051980215266176, + 16016095013840318535, + 14105852030708611809, + 16051087438584221354, + 13675173933079346727, + 2874994649652650671, + 7979025268698298847, + 11374866421066182138, + 7475344935803187909, + 1835641501669451467, + 13059464994592945677, + 8757489948773013650, + 10252929217253209970, + 14325617533682105597, + 2542714777259631042, + 18335911576277176802, + 15415959165748092306, + 4385692828150846986, + 5477860554657414650, + 16867036080034810738, + 4769070969588945695, + 9223656448303367179, + 3931362776778899090, + 12026894876328327098, + 5588731814871089046, + 17633217171164788616, + 8501226387200456220, + 11792273532816907674, + 1773966148968480823, + 17264051612049472148, + 13323782641035319564, + 11498303342055040907, + 8228061752489713289, + 10404388225830471769, + 10865033344845444871, + 8409081455447853835, + 14580171515278269327, + 8117153713073331579, + 17866456253880160029, + 11935794626999589085, + 16685449429139179418, + 2487109881788296242, + 14572898507906404280, + 5031341374363627881, + 6391223842504049270, + 546244946934635709, + 16196424124536951210, + 8264432830568606341, + 8529264969309736907, + 1597020663994814902, + 10001269013814682831, + 2068019641655186552, + 17408175498936077270, + 8343365213690100220, + 13812523756395376030, + 5594955081417351777, + 13173890180917567579, + 15487209152474534405, + 12110780244428617846, + 9758249624103943950, + 2383865094041183485, + 17445286398374127478, + 8574075177946319489, + 15602522278952302688, + 2199798330092024229, + 16461615501423334382, + 5431304989628957550, + 2777606018077034374, + 10077344859376197217, + 1850588486662077414, + 1013158721609415533, + 4398405270308977863, + 7527557196856753566 + ], + { + "siblings": [ + { + "elements": [ + 411448734373638218, + 14687045845690981198, + 11509611834671126224, + 10551406655308228875 + ] + }, + { + "elements": [ + 13773021372261916450, + 2574730298801590698, + 4769147523809669347, + 1697942020634171201 + ] + }, + { + "elements": [ + 15131358189822976238, + 9147179910371660551, + 12658542826013327341, + 4370717583278348927 + ] + }, + { + "elements": [ + 10513318143249336677, + 718062738029666820, + 286249951479571506, + 16804074157144894867 + ] + }, + { + "elements": [ + 13264831967226298893, + 17086928287124651154, + 2360316236768907124, + 13645565043396745986 + ] + }, + { + "elements": [ + 15272943007259610830, + 15040035057105672405, + 2955567265712393392, + 18101314406897604693 + ] + }, + { + "elements": [ + 868781216964449956, + 5471353215475230175, + 602217139351527136, + 12390616587499420903 + ] + }, + { + "elements": [ + 1569853865392733556, + 7244433962986988883, + 11079992208941639083, + 739452665183258101 + ] + }, + { + "elements": [ + 2922087759239301442, + 7290741640558925190, + 14594606761582081998, + 736888880430254188 + ] + }, + { + "elements": [ + 10277108835443159031, + 3341467134757888825, + 9041630272434251886, + 14724478057976335372 + ] + }, + { + "elements": [ + 15323060444041527669, + 11887242571962337668, + 6124812084722486563, + 7613329691145184216 + ] + }, + { + "elements": [ + 15971705105823794041, + 9033331446055013429, + 979260211447248183, + 8530076875113629885 + ] + } + ] + } + ], + [ + [ + 8861023353995320236, + 2485863807955052224, + 18357588341951902441, + 14234408316050108068, + 9839021098437442269, + 17073717672027864208, + 18064887102213709073, + 17233031943994703803, + 14126253472598950430, + 16390068114401955222, + 14707023523107554425, + 14570755411309472837, + 11906901838763801807, + 16867936505023876932, + 4475276533430212585, + 14070309843187983261, + 1171908928144909758, + 13899141099125706285, + 8153140771224538581, + 763292234870336334, + 16465508928408899631, + 9474729297067981929, + 17055551418546543064, + 10262464241510388790, + 8948922462209444537, + 5750382826365477977, + 5953264183181505247, + 18354961036135725690, + 13078670194033438219, + 1560745347396266363, + 54047042709667386, + 9159861524925447461, + 3271485120858323306, + 11646342968068932246, + 9354183060516971855, + 13241799696328072106, + 8385666550176298020, + 10634123011469477241, + 1157177696979956349, + 4829750163464594271, + 7049268414575667954, + 10603217920247926520, + 15389057539523518371, + 9735900823124291019, + 5766407766150195991, + 14983519488315567170, + 5847145216756428420, + 9852905462754854662, + 17089805064881938476, + 16703121863013220247, + 4649785868674092525, + 10583614656666583305, + 9425940238867912836, + 15809352564389174233, + 2301156823911135792, + 10082802001705134243, + 10832454872116952831, + 2239532956202223322, + 12730343576777448479, + 1834883055830649334, + 8721733507022781017, + 11506382137262638688, + 9312223315458197623, + 4114200417321881087, + 3486381218620830168, + 1752772916839656035, + 6757420044812700299, + 13354657805999298811, + 4243465949195297724, + 1483349530347149438, + 5094110133827998117, + 10692919151052923074, + 2937437087714163731, + 7489812335543421152, + 16655187362713570119, + 13092412564434595219, + 7728215107905970708, + 5784916024345687648, + 3262618747776446338, + 774223294829085763, + 2193433690307443179, + 13885764753862609469, + 3007811583804138245, + 2482867277251275238, + 3322498614844566601, + 4096147787570704588, + 15131525205488658730, + 8860271408655217391, + 15603221630508382126, + 10660086628312159914, + 753838115337715969, + 2420846883642351589, + 11361440248247335623, + 9221881423903956754, + 11825579386789223021, + 7340465557522020762, + 13527624473071666443, + 4298983669936902987, + 10600680748137284742, + 8220682997641999516, + 3682432719334504023, + 4516034940233365321, + 7939987349447280779, + 4576511521121861743, + 6467969457256636169, + 15959924306618657446, + 1376691564214612291, + 12857074986649751781, + 7345415992219557702, + 12805427231949442242, + 10264493466315103514, + 8642976237673453282, + 13246436125469587469, + 11682613782208643328, + 9920895906892509912, + 6826340854690678809, + 10809060785453612685, + 16602634870279606327, + 4931834484536781286, + 7406497963510713318, + 3272209248281173307, + 9419655762851937704, + 15515140999247630082, + 14482112643218434877, + 2855672319823543007, + 14533360338215537977, + 5640200505567880422, + 5483438406486990380, + 4364847245895715834, + 4667428477116102579, + 8846951669380093031, + 5231602099118132351, + 9655204571631972740, + 11725599634970707485, + 15977719912458223336, + 504125125701008098 + ], + { + "siblings": [ + { + "elements": [ + 4690884404500138968, + 6979770170978433796, + 6457115532520433684, + 7162710701008991794 + ] + }, + { + "elements": [ + 16086069392263654933, + 16686297683165066632, + 187451770408642160, + 1163773469636877471 + ] + }, + { + "elements": [ + 1526918643127835524, + 12900875288357671056, + 15173851515041520223, + 4321854960787900762 + ] + }, + { + "elements": [ + 15158055108496757945, + 5732283033518066396, + 10647547728813084285, + 2332025692050705374 + ] + }, + { + "elements": [ + 14451279871199890343, + 5753985899659760456, + 9017609310684390911, + 4505168779370682982 + ] + }, + { + "elements": [ + 7965563360405471704, + 9938322773201278440, + 5526900248791257354, + 16775111183404004877 + ] + }, + { + "elements": [ + 17316938637628523290, + 11603556024201935858, + 4553459108921769981, + 8899987984280250487 + ] + }, + { + "elements": [ + 17563119482657125932, + 15185555504536977777, + 8526421461556541867, + 7369883650387761910 + ] + }, + { + "elements": [ + 6591124759969014425, + 6732013260984411979, + 17681289158361627012, + 18266049568042514424 + ] + }, + { + "elements": [ + 9601863865867808758, + 5948608353622481274, + 16382556419148908076, + 5368773028439435339 + ] + }, + { + "elements": [ + 5656281879624141731, + 18247223020003874469, + 10316224945145135132, + 16635153020259231628 + ] + }, + { + "elements": [ + 6963305044990843171, + 5212186629000175288, + 6766516562314474873, + 11905147327588413342 + ] + } + ] + } + ], + [ + [ + 8000833238453879725, + 11103064316977015706, + 3087041739087877106, + 7170219413221267623, + 7310029854828060467, + 9253171299375962809, + 14539123256526561044, + 2356573191630390036, + 5760034005288041171, + 3111158911122924214, + 14975630022548363055, + 5973412340280489460, + 13642375139034175378, + 17488508094085337899, + 16104292170275226791, + 6102618299292694360, + 15882197293142121595, + 1480571476393140318, + 15251715898790059799, + 3789545559189480106 + ], + { + "siblings": [ + { + "elements": [ + 6660874617392358062, + 9491520861330922543, + 8931489110786407949, + 18403190878776622330 + ] + }, + { + "elements": [ + 11446789856604644925, + 10766233302359704467, + 5103285145587527421, + 16315459910875081648 + ] + }, + { + "elements": [ + 16062174055231855531, + 12327888125520040833, + 14640217245932319289, + 10756463351106779138 + ] + }, + { + "elements": [ + 2707266362522812480, + 18392708079492754100, + 7635268812982137209, + 10785997867236972488 + ] + }, + { + "elements": [ + 11442903665354749370, + 6308528240685109814, + 9728296820825060027, + 7804581564620675944 + ] + }, + { + "elements": [ + 16774918127144167345, + 3258707584802518516, + 7095488387751266265, + 7227675838250988293 + ] + }, + { + "elements": [ + 5455703466525858386, + 9509387169090100073, + 14701869178272988856, + 15556876736163743145 + ] + }, + { + "elements": [ + 6408122713143275571, + 8494147495261289096, + 17641047600489190011, + 13788133298886529891 + ] + }, + { + "elements": [ + 11883643071314607234, + 15898910466476768748, + 9611886274426169479, + 17483001840677414778 + ] + }, + { + "elements": [ + 15985646794407331475, + 3363058749069485585, + 10654473046368297354, + 6074388316718535564 + ] + }, + { + "elements": [ + 10756481599258389872, + 4273275899871655000, + 16955224850414354574, + 5338854147668299617 + ] + }, + { + "elements": [ + 17167417422974415186, + 8362619587164116353, + 12224325167164269909, + 12108879892464342449 + ] + } + ] + } + ], + [ + [ + 10786823036387999529, + 12643035775057883931, + 17848183309458929645, + 4978200710811188227, + 4564335076105312919, + 1188277587851371149, + 15274595430523434862, + 6909864473464911548, + 9065182724254166935, + 12169857107629038718, + 15952299769890848716, + 18074708632184506851, + 1758660523706328667, + 9576395489691141928, + 6670103193934480612, + 2654273853266267472 + ], + { + "siblings": [ + { + "elements": [ + 7735677761150829575, + 10659179125108453150, + 6234901461656110100, + 18391539663307556282 + ] + }, + { + "elements": [ + 17721969327743569675, + 7290030016233438649, + 8421876962970974778, + 1835852343971503999 + ] + }, + { + "elements": [ + 1419274811245316773, + 6245861026710514914, + 13259233930742695294, + 6639280686079874314 + ] + }, + { + "elements": [ + 13865830121588430781, + 12121391123907813396, + 3445443443530773795, + 7285764711571891607 + ] + }, + { + "elements": [ + 7987608323238804436, + 399598424083858967, + 1176896066063206911, + 3636413486823762632 + ] + }, + { + "elements": [ + 14645194016213233554, + 7643760491642456873, + 11312247708178090226, + 14499444267377109247 + ] + }, + { + "elements": [ + 4561687352940118991, + 8571674008834757541, + 17918581892767887623, + 15342549156028296286 + ] + }, + { + "elements": [ + 4514625727812359510, + 8941119081145627593, + 10479938844824204399, + 13647900054015278314 + ] + }, + { + "elements": [ + 14809700043788787605, + 11331665331104797876, + 16595638599839434827, + 618016470053502463 + ] + }, + { + "elements": [ + 7318492412524673163, + 14629912052663318816, + 13073600731414278655, + 3876054369569410788 + ] + }, + { + "elements": [ + 4980129235026577016, + 9863871664886752283, + 10018405952407426228, + 4577494227144692023 + ] + }, + { + "elements": [ + 5668457268377409927, + 16957244710144207438, + 14914397264300887133, + 16519391059863924398 + ] + } + ] + } + ] + ] + }, + "steps": [ + { + "evals": [ + [ + 16450948804267403511, + 11275659186774362478 + ], + [ + 2461003631031476448, + 5891062863362504378 + ], + [ + 6305574435083778477, + 1849887383406471100 + ], + [ + 9825137554404641009, + 966462677272077530 + ], + [ + 9082542377289958885, + 15732007750408112747 + ], + [ + 8063276331133830073, + 8242807311764491213 + ], + [ + 5132555029463264693, + 6861848208467637576 + ], + [ + 6246870362109882900, + 2595206037896021159 + ], + [ + 16726242534688541040, + 12776841589566084281 + ], + [ + 13036083887148141962, + 8526153743088935521 + ], + [ + 10014588394881229365, + 15985226328745422886 + ], + [ + 11600368553608379159, + 4301001719488531817 + ], + [ + 3661357419782900307, + 4730023816224805166 + ], + [ + 6932740100429721266, + 4298015623522572390 + ], + [ + 3540061227147872431, + 17762678333445365121 + ], + [ + 2414683565985961041, + 14845612044464642598 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 15345685016962100436, + 15073149168331597539, + 3379833763536573205, + 3712410431470200601 + ] + }, + { + "elements": [ + 3792877759999787768, + 6628169285593994575, + 14838505160184876872, + 8842057872868328345 + ] + }, + { + "elements": [ + 721753547789508539, + 2660501060783917750, + 15012310648650021875, + 18095649185388567755 + ] + }, + { + "elements": [ + 3712145166719511027, + 7144505543520586575, + 10963069324970382893, + 16951167379404620123 + ] + }, + { + "elements": [ + 13261056299698627799, + 14138677757277653718, + 8322730704651431755, + 11775181333580086354 + ] + }, + { + "elements": [ + 16037570147081305526, + 387236156709192997, + 9398202356337553875, + 10888888215247444777 + ] + }, + { + "elements": [ + 13804481857705806234, + 18361854256063368487, + 5323771847526732631, + 9595409497936430724 + ] + }, + { + "elements": [ + 11510366563929907030, + 1292423809705825986, + 1613216680177336172, + 9943671266520640385 + ] + } + ] + } + }, + { + "evals": [ + [ + 96713426097789388, + 15293445694879237604 + ], + [ + 7882985729416524332, + 1028177668697854007 + ], + [ + 7671907993424121396, + 4819839132621804811 + ], + [ + 12887162391468005753, + 12673187877646414620 + ], + [ + 3681979930478436830, + 6132325407801351207 + ], + [ + 7275330985108314288, + 3946236872421889936 + ], + [ + 8994424435597678322, + 12809006308985985122 + ], + [ + 12802552463007778878, + 11651455079496032374 + ], + [ + 8296893408120043065, + 6114824075290044629 + ], + [ + 17963881656370276362, + 14714020801447821117 + ], + [ + 13948453828418577890, + 14498561668351774260 + ], + [ + 7146632034326051309, + 4425851138150219197 + ], + [ + 10955528489977318884, + 11954079547463594281 + ], + [ + 16749843761067630008, + 5363038252840212306 + ], + [ + 12484932225985388888, + 3559464115002811641 + ], + [ + 8965387961764748809, + 4843867071228018375 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 18293149209095332142, + 12746119318209588610, + 14526869844456904515, + 11108880694238348537 + ] + }, + { + "elements": [ + 466015038971834483, + 496983184580711000, + 332084412989213341, + 5453977088435384629 + ] + }, + { + "elements": [ + 11987891452105123414, + 13267626095021617630, + 12181966032101009507, + 3996445672097753987 + ] + }, + { + "elements": [ + 9442079387961543745, + 4531957298495219158, + 10389554956715246125, + 15344957351230332641 + ] + } + ] + } + } + ] + }, + { + "initial_trees_proof": { + "evals_proofs": [ + [ + [ + 5446160106523235423, + 11264846794110855038, + 16285387894023505793, + 12375434296770939995, + 7653376698219591366, + 10088098491599322243, + 17122897545138315301, + 17585337405706350671, + 7199868415689201854, + 3850598971598179278, + 11141320283095926136, + 13937443233649071632, + 14212321859190871521, + 12179856854776590508, + 10747400873825550957, + 628994576620815252, + 7796548588707067813, + 18143613144723121288, + 13941381611504691948, + 5923080079712645542, + 676845789651494882, + 6139063680379183954, + 75416357397875442, + 14751844062747717821, + 16660451833975645070, + 8741862734102397419, + 5978344899224782024, + 7835110158396928903, + 17024001277525681105, + 14874610231803491699, + 8538675859863086741, + 15709432591700905087, + 12381448118724887886, + 15351484326050058945, + 7634063129175088385, + 1434294336303293256, + 5837864924904818166, + 11000020531943584468, + 7305590603750598911, + 4923409442834061601, + 3947255697037154288, + 16943502830796788436, + 16908680656495195333, + 17899442828729324673, + 12219855176410387615, + 214293235212950456, + 8424194394444852720, + 11914301721233454249, + 3652863160934050329, + 1698225688470187098, + 7686328524051029367, + 17863418966562494154, + 2707354200230924970, + 10748106400230853372, + 15926092184972364516, + 14780159789332171536, + 5602260529035025061, + 3033870773336747843, + 15427427753779998484, + 4349956798714144651, + 6830206152135886268, + 18344777248619643322, + 2288397901437442556, + 9692866760260923179, + 3761090939458746006, + 15166246460658928123, + 1346204226878236023, + 8992428469258743669, + 12798587904817779392, + 4538843170323409082, + 958044421727150807, + 14083618086474455671, + 12180429119386377062, + 3967408309283265051, + 1250476269239021825, + 12954469519147328516, + 9172462840589645727, + 5552714202014702520, + 17286807479775175857, + 6311270035805316664, + 11793352775226594534, + 4400318490999609103, + 13307458112877146681, + 17235945811618144655, + 12555171510156891422 + ], + { + "siblings": [ + { + "elements": [ + 15260892979300576921, + 10668643127279343367, + 10191669827459013974, + 1242838497830766068 + ] + }, + { + "elements": [ + 3125544496163721561, + 10499874327087421986, + 1266281079695527426, + 1329369485263914747 + ] + }, + { + "elements": [ + 3118142089997654997, + 8092727152672710678, + 7831555866046050109, + 13250025280185909520 + ] + }, + { + "elements": [ + 5665889973665429746, + 5486212811818930036, + 663399806866339966, + 15500855465271661309 + ] + }, + { + "elements": [ + 11646060871201270889, + 425201017366107656, + 5663149350962276800, + 489189031250238856 + ] + }, + { + "elements": [ + 15282357497005453078, + 6943972621406870819, + 6410898928209776880, + 4159152966228637598 + ] + }, + { + "elements": [ + 4014345790814235083, + 8268601751356928938, + 7181864282870430342, + 11575342284643794982 + ] + }, + { + "elements": [ + 11204022116067743424, + 12849123109101074377, + 8535078839110059588, + 13560065945628253817 + ] + }, + { + "elements": [ + 16336221195865821505, + 905459868200726072, + 5743234804090491490, + 15132475660065209325 + ] + }, + { + "elements": [ + 3365559584779324762, + 8692180329599467090, + 1383895195721734568, + 14532965529542571106 + ] + }, + { + "elements": [ + 14153380575266453432, + 8401505640004681271, + 17511989694007439518, + 13875334877357133916 + ] + }, + { + "elements": [ + 16411268150170804364, + 465374203745943276, + 15477225318676030249, + 8296891782665616910 + ] + } + ] + } + ], + [ + [ + 2921673088318512005, + 13566365532994770482, + 17190945466088843072, + 3101892778677021454, + 14781370718656015025, + 2564678137450505159, + 898998557075559882, + 16333487326235449079, + 7607652236233204973, + 6146481958204393294, + 4732519638738036066, + 8543660049299707257, + 10378592662940427509, + 12800233505249524788, + 6486930302601538185, + 1569621675474451118, + 17462795926891412989, + 5823982902695290936, + 3988405981834156308, + 2371595351235674673, + 9480404835326936918, + 13217061522317573916, + 17822727403715323391, + 15234725623336930917, + 3978675166579847696, + 4057396529161993737, + 13071048378752760012, + 6253417405296939546, + 4390629136520264464, + 7689042045158767772, + 17717556396937664632, + 657582723416245856, + 15069772542630244286, + 2949493596909728348, + 6569991612605188395, + 6417245622374644054, + 12265672544177250289, + 12197475575452350761, + 13253975630462145117, + 1417414850772287139, + 1559475297909105301, + 1033055464120775006, + 2124771555222669143, + 528564024975701943, + 14044222480737477852, + 6083228003830235924, + 9743617794673810228, + 10246065926552914766, + 7798523371247561660, + 16883355024784073472, + 249040074404989832, + 17497734564155979931, + 9839723171095661592, + 11946623290724699103, + 3065504083030048144, + 10844247022780777906, + 8739250639689687056, + 2286668807698469403, + 12650007065362488978, + 15401759632880924523, + 8771118430611594896, + 16605410019565437547, + 10639532639175827721, + 12442383682629719436, + 12160523282733146002, + 3092361276535872375, + 5803454149506707678, + 689477696515773203, + 14693331443957984581, + 5982456424771450951, + 8873477797434217986, + 6377695887856526074, + 10454877370969876711, + 3156495185698546544, + 16862574171550313122, + 11382032251541314736, + 7393421090476299459, + 3810162409116847263, + 2145496446097014398, + 10472142962069170043, + 13044527799612410770, + 6493986809447759298, + 15040471079236428930, + 16282651726048265832, + 14858444938753345001, + 4973603619715875130, + 7084471018595715794, + 15016806591430839281, + 10824091448110807934, + 9285778942909179890, + 7411189070879490724, + 18416673383030308959, + 9141656878632568080, + 10896947758135412649, + 9660953638204361922, + 13287238805827786037, + 14963887401517445642, + 13361677486267822707, + 5605803315018775134, + 4889286200047306688, + 13669933940906080507, + 9744524789163081159, + 6641210992116790438, + 5068697348786092755, + 9075969052795816712, + 15119245682882839332, + 3327376452045379458, + 18218540632982611541, + 15519923212144643115, + 12444311310332030011, + 8735955755002129407, + 9765326763288922357, + 14596164485763530135, + 4485596436421176679, + 12792646633182481268, + 14166891463600721838, + 16258557883639107987, + 16626994985394737264, + 16396181846541141756, + 16149665113590821701, + 6629673530483346144, + 13106494100053391902, + 444473187620434529, + 404450233354061656, + 16639329010983186700, + 4326413199367242676, + 14368870681515586201, + 17561980392399353895, + 11487645749958611295, + 13306804493888863042, + 12955216978005255475, + 894635917149104703, + 15780285490177552325, + 7661321629926838872, + 8678191769165613184, + 13393366733803055558 + ], + { + "siblings": [ + { + "elements": [ + 16472374950331391526, + 10889563990884827298, + 1807254585204329046, + 2144585066490740192 + ] + }, + { + "elements": [ + 15954947136370819776, + 17366814684807448932, + 13492705848328560640, + 6365181936403392718 + ] + }, + { + "elements": [ + 2390994185003440256, + 5347239184590597568, + 6327841869079726506, + 13814062402256430398 + ] + }, + { + "elements": [ + 12365143013236682812, + 2251541726154417882, + 13806468435793354375, + 10741861089274857787 + ] + }, + { + "elements": [ + 10061081454433195910, + 14020513059207570358, + 3941091106599091034, + 15737055824278229337 + ] + }, + { + "elements": [ + 11657049446125006842, + 7162329763516770142, + 4664182996215467563, + 10355425052502624673 + ] + }, + { + "elements": [ + 10140221771634502504, + 8141564978856836593, + 1976317507501773164, + 6245299135153075486 + ] + }, + { + "elements": [ + 1660824181914773258, + 673309320017998084, + 2985620697074072928, + 563097013872544917 + ] + }, + { + "elements": [ + 13209847270969901409, + 8092609611887263017, + 16477497714603516924, + 4930215650594019809 + ] + }, + { + "elements": [ + 3042104438805429556, + 13886925028118603001, + 10471488592738255379, + 6687473637496540135 + ] + }, + { + "elements": [ + 13296222503685652017, + 5449759234097722593, + 10391828498181483923, + 3418072383399787379 + ] + }, + { + "elements": [ + 9879998224737514164, + 7668404804232211958, + 2243113146450842623, + 5904616399049752156 + ] + } + ] + } + ], + [ + [ + 18419657364443114891, + 15083341860768251245, + 8922033010559386571, + 5930740254754559345, + 17490828992467251146, + 8452524228376268455, + 2623336009526289595, + 17675662014094777602, + 14714335822378362676, + 17833479085090172426, + 2078676864675881398, + 13504874620148729359, + 10018327569711192637, + 9883117262004419391, + 1666387046798183257, + 18152765528639088910, + 12296598870773574707, + 18329254404500035822, + 17837745811499693893, + 7539246362147420597 + ], + { + "siblings": [ + { + "elements": [ + 14490832038650295205, + 5848504658645848909, + 10021845901198307936, + 7142332189047679982 + ] + }, + { + "elements": [ + 7361967068453198842, + 13759993623195448767, + 8479180609889229887, + 10493669132449307878 + ] + }, + { + "elements": [ + 6692665129716569320, + 16986174348644853581, + 7041061806889438074, + 18319262751471831605 + ] + }, + { + "elements": [ + 17595214593155719247, + 3899278286631925166, + 8094898634819432249, + 5115253121307537882 + ] + }, + { + "elements": [ + 11313511437581805475, + 12326292714623887614, + 1067972232075674078, + 5743649171383464991 + ] + }, + { + "elements": [ + 16621203692231809876, + 2154213605750696296, + 2110766545941487803, + 7686981846425025543 + ] + }, + { + "elements": [ + 16928484153520314599, + 16630896164065393635, + 8631530566402625705, + 8588698689069136422 + ] + }, + { + "elements": [ + 7211249890534247387, + 9572842297037637336, + 7829931097414125528, + 13921905817819086046 + ] + }, + { + "elements": [ + 1557672718873464684, + 2712930636765494009, + 16185191827334523251, + 4818950497591301280 + ] + }, + { + "elements": [ + 2319047114902363949, + 15796473701912579726, + 10743527834566096337, + 2486594408373480500 + ] + }, + { + "elements": [ + 4046858957983284987, + 1833117662137235745, + 14351443897664247049, + 3348050210727186998 + ] + }, + { + "elements": [ + 12687010507300293127, + 14645432257830531867, + 15904364890812116471, + 5165963491598814362 + ] + } + ] + } + ], + [ + [ + 10764497017202618158, + 7689439345511842566, + 13001891225368004932, + 14997585082598433459, + 1693776694553484558, + 8170809996792668850, + 2964899768520771170, + 11934255737993949491, + 5905157840669401078, + 16096721864440260100, + 6317336646804642163, + 8411395748032222939, + 2896722874844732634, + 2837165617842949049, + 5332700415464150927, + 8220261849021911554 + ], + { + "siblings": [ + { + "elements": [ + 18290912281123056363, + 7354918030300109487, + 6740037481469658233, + 7415757297994740534 + ] + }, + { + "elements": [ + 12825617607255560132, + 587634353986272163, + 1596966412714861808, + 5729426114117209741 + ] + }, + { + "elements": [ + 17532458590108650765, + 11258977260152102045, + 4362866548621130553, + 10441742022869539542 + ] + }, + { + "elements": [ + 637397453092781225, + 6442715310693743636, + 5405828462882474199, + 5252974382817112730 + ] + }, + { + "elements": [ + 16089529478991592637, + 7131264471859096116, + 16147834531101925255, + 6397259013197941854 + ] + }, + { + "elements": [ + 4422390614712841084, + 16051961889007364707, + 599510713892354931, + 6255422478472920203 + ] + }, + { + "elements": [ + 8652071640710402913, + 461217246814696490, + 10866760830300068082, + 5143314915886880543 + ] + }, + { + "elements": [ + 7844317511211891624, + 8088121371929686453, + 2981814590002864864, + 14852602269302817795 + ] + }, + { + "elements": [ + 8715947407970623036, + 15365219230611985260, + 14369610426261172181, + 2529216081010830862 + ] + }, + { + "elements": [ + 6300811127151511797, + 6514137421366694121, + 9777757537301386139, + 11968766670044165605 + ] + }, + { + "elements": [ + 12082610691515257798, + 18082471671617532913, + 7273710327310786093, + 402665081844071425 + ] + }, + { + "elements": [ + 8135912855479140799, + 3725781101075853411, + 16782508941701667368, + 5174466266259941329 + ] + } + ] + } + ] + ] + }, + "steps": [ + { + "evals": [ + [ + 3793383426588022738, + 12422571629597634419 + ], + [ + 6786102655719004741, + 4864161570401344410 + ], + [ + 16392869795524113219, + 6431333431379416837 + ], + [ + 16057467542720937877, + 2472271663964177590 + ], + [ + 3529252092260479563, + 16970183862792727959 + ], + [ + 9859077268802303081, + 3697650895317281219 + ], + [ + 13560326163264719891, + 18411109567702038238 + ], + [ + 8804641249972016897, + 15937813350221942917 + ], + [ + 16597561659337685335, + 1951052703169807223 + ], + [ + 5256765288257606926, + 11082857722831627134 + ], + [ + 12575744622022918491, + 13828902274460476758 + ], + [ + 4019449670968262044, + 12170411971998663568 + ], + [ + 16690934490685261025, + 13900392569736470734 + ], + [ + 14135353775132990878, + 10109926366691686372 + ], + [ + 14741748837023435120, + 5273085905496852537 + ], + [ + 2728699712711110315, + 13354330123970978280 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 14706172973182917590, + 18142019626281880423, + 16284267459442018442, + 17841525515188587370 + ] + }, + { + "elements": [ + 10699966939942023891, + 8897115306388108780, + 6888934004108665204, + 902262195930672516 + ] + }, + { + "elements": [ + 8437495326278852661, + 15632786031861557975, + 15457976688007957839, + 4398106588206265609 + ] + }, + { + "elements": [ + 11353524407820376741, + 1660158799772806678, + 2553882934369628395, + 11124266071947370956 + ] + }, + { + "elements": [ + 7607986143252557312, + 717682710564645742, + 17908399178271475610, + 5968281050436201000 + ] + }, + { + "elements": [ + 18348804114786963631, + 7858401343897620852, + 16984551340972960530, + 9746446117652045756 + ] + }, + { + "elements": [ + 15085440981331376018, + 14832224512876700016, + 10541521303408201350, + 11556140112155390939 + ] + }, + { + "elements": [ + 18000324241082689379, + 13719339292417281222, + 5302553923136991238, + 3446085465626913650 + ] + } + ] + } + }, + { + "evals": [ + [ + 11475927608365294607, + 6679918955586015810 + ], + [ + 257063133447383343, + 1085467500323318234 + ], + [ + 331945375617306852, + 8193985738401111528 + ], + [ + 10014905574795835664, + 14391342757732200445 + ], + [ + 10385563111303499505, + 9768012165683664320 + ], + [ + 4347205067411312378, + 13719811700744399484 + ], + [ + 9941593668005377628, + 7216440569542188246 + ], + [ + 5469948163170061037, + 4964258008022375104 + ], + [ + 15541324302853174555, + 1714900047884155759 + ], + [ + 17049340398664238104, + 17000918241839323186 + ], + [ + 8068382552147507120, + 10405365258231322895 + ], + [ + 17673648617618842585, + 17692752448989753362 + ], + [ + 11094934195821010807, + 16366159782294238718 + ], + [ + 10384509557899929532, + 852632181923724378 + ], + [ + 2806488288803728656, + 9104983956948021556 + ], + [ + 3628092393136676020, + 17315779969577602676 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 5873469387134720323, + 188319045549280744, + 7581153353894528008, + 13674850247404494900 + ] + }, + { + "elements": [ + 11862692133976036161, + 12500675326673567926, + 4622007638102380710, + 12255062493431307300 + ] + }, + { + "elements": [ + 6391936149551914984, + 7289341790617346275, + 6447342223803266552, + 4566589751160699115 + ] + }, + { + "elements": [ + 2878814725758048893, + 708337665179595306, + 12026618033947388259, + 6703039233162913375 + ] + } + ] + } + } + ] + }, + { + "initial_trees_proof": { + "evals_proofs": [ + [ + [ + 688774704768193992, + 6231101294122232092, + 3384847990990795110, + 12704348750783385994, + 17975600829024361710, + 11962348608421801615, + 2319979009987467527, + 1221524148020436106, + 4874298783717876478, + 9135969564564907837, + 6514891650976848239, + 15075886363320729609, + 15305497164370169800, + 13062360398240046825, + 11440588306032720363, + 8809406111366568998, + 7797447046296097240, + 8594813585622978307, + 14956379971670512398, + 6120546142638703213, + 8730257661340594769, + 16467047209606850504, + 15764000836604347215, + 11059209024271513399, + 11502533260023258517, + 5477574860336877992, + 4062780972940955326, + 15929704696344644450, + 8035308658580839728, + 1822459024248467393, + 13198973044132386992, + 1403566052463748551, + 4332787237719932270, + 271892232387304014, + 18236498343296518195, + 1044000250529553236, + 2073408779446460665, + 12246106952512251364, + 18128922459220697107, + 5246421954497395919, + 1252376861318240096, + 2071260721954597739, + 5756374359904497357, + 7374872078228222212, + 16969841795588942412, + 2049572052365940841, + 3733400309206560979, + 11289315238255400928, + 8695768070768715365, + 566601408441785819, + 17092004827644572564, + 3594590203969943522, + 11621919870953959402, + 9412432696359285925, + 16530770660598189497, + 11745052192872263285, + 3021707086695106020, + 17548478262534519369, + 6996421913426635082, + 9757233827497278582, + 3479779760291617681, + 12581292457920510570, + 8424713490887549289, + 18032619230339469151, + 17230208713114972536, + 976228861635035968, + 14134471525628092309, + 14878436296088855621, + 5830213439752809574, + 15971303313931913233, + 10105124898113393480, + 18362110928038804101, + 8611816326244181351, + 13541764512486582978, + 5532511213504876204, + 15530748899245739017, + 8263204096748039003, + 15734181575723410421, + 6827076385743660329, + 2343684412922493330, + 13980126619957732534, + 8449134913751204201, + 681379016297363725, + 17367463298298360447, + 15469457663053160489 + ], + { + "siblings": [ + { + "elements": [ + 1512975677287464177, + 11345072020806455108, + 3056491390087941666, + 15808066161847996805 + ] + }, + { + "elements": [ + 8199446948484058222, + 11350176083567419749, + 4468523909003785822, + 10420824031986769983 + ] + }, + { + "elements": [ + 7776206619783073210, + 17583368312289619862, + 9753871619747910899, + 15258035805269576582 + ] + }, + { + "elements": [ + 3117007753937417028, + 13252923311272026310, + 8117532840390406216, + 11137533010384353387 + ] + }, + { + "elements": [ + 3695853614497829047, + 17236718286223537653, + 4963754731657273500, + 1623995475857320997 + ] + }, + { + "elements": [ + 3967625115554123292, + 3228212703726936196, + 3337068883546040071, + 14032714813334597995 + ] + }, + { + "elements": [ + 8269144161091791420, + 332768566629147365, + 4016802434116087920, + 2480626613185153393 + ] + }, + { + "elements": [ + 16332814028656449616, + 14147544361687584285, + 12998130635495103491, + 4641003738708884691 + ] + }, + { + "elements": [ + 14291589336938345039, + 14777671398348844456, + 10816325237704158425, + 11753864055390820896 + ] + }, + { + "elements": [ + 16361631663096310006, + 9315211374280310278, + 11859900781970951716, + 12712338504920094194 + ] + }, + { + "elements": [ + 12616363926722873714, + 148469394806854146, + 13665715739807367215, + 7569025495324557955 + ] + }, + { + "elements": [ + 894038648219164564, + 16568439919949189273, + 12467392356076401095, + 8867671797990644330 + ] + } + ] + } + ], + [ + [ + 6050699032944641141, + 1749204228365244548, + 179534745391990295, + 14872454487242534774, + 16291134153711533936, + 5873575030912995971, + 9897901433827524107, + 11468167141269015741, + 16110641200228772976, + 12992614269732063944, + 17307930643151168025, + 15359596470637000074, + 12826103435123586691, + 10124612322979726834, + 18010303975651858791, + 13076410784326041358, + 14194506284202580805, + 13829174654056884013, + 4821944859770791701, + 13433429109864123839, + 14283409874889168460, + 3966421502509056818, + 4266248634913697842, + 6011112343261383769, + 11583457473811315304, + 13962259988592965917, + 7356550499485264308, + 9253339500382573689, + 17879459186619511369, + 17281279623043994243, + 13179342711715841745, + 2738789855568220259, + 2784689279041789926, + 3114869618618462400, + 2311681655109470495, + 6341110989470399636, + 11953465831018105225, + 10319634117463144025, + 14857335175038599559, + 2770218742994164998, + 16461587864683179934, + 17362782481548162401, + 1972665437554056368, + 2228875902066959631, + 3467374524923784851, + 11801999464558245104, + 11106638411525460732, + 16040048769509584393, + 4281004982445510412, + 4632123507741852648, + 13213426968522848764, + 16669464434787224220, + 3923672971371701768, + 3767422341497929061, + 13993192908299690241, + 8272075252587885761, + 2356423677475645525, + 11494572911623978809, + 15494743354141927799, + 15417475313192203468, + 2661369942618530957, + 13782258698510198268, + 3531123722735097821, + 12811859776286557842, + 6849383506718688316, + 6026480726417842078, + 7657093865409221696, + 8780898914015115766, + 14484493742981751663, + 7982581984747757597, + 9402230420328633190, + 16535693473040316200, + 2494353228460773251, + 17632126020636409869, + 7580485712866156403, + 10089594321054169336, + 11317862251209007150, + 4969029896153794278, + 7232217787233578641, + 5852848451747530155, + 14226933211984143096, + 1126003785322417854, + 12333105144318700987, + 17356343439980081374, + 7745555027593793365, + 8606929510766646283, + 1112348943600933820, + 9616176903478254316, + 13592280966955865483, + 15956201243056985520, + 3255860012801455253, + 11676897956201693925, + 3358901355742540594, + 949315253367754, + 15358524331111643412, + 10164248735748611906, + 2248103076192587802, + 11306802539085063162, + 17880967463995089901, + 12656128916852815963, + 17580604331225868718, + 8527433774353345610, + 3119274252310467019, + 10653287494305973481, + 5501378764432276523, + 6784074889472568256, + 14363114974034857233, + 3468864582376262850, + 18063002802408752848, + 17431544623691550233, + 1638227888000709944, + 14206292047220962714, + 7708762398849717292, + 17625096293052450584, + 9404339861506612966, + 5732928452506625, + 10839271474292679635, + 13107176084368884084, + 17312287654427997406, + 5603126108191049458, + 11611769383635482027, + 1623462862139300333, + 13544846515112290005, + 9844289599652859949, + 7923304598093699230, + 3041719043835808010, + 10140793714020576812, + 16028218694004823918, + 10964398824742334825, + 11178982566078166806, + 1996053082560832759, + 10389509058490469874, + 8004523653561743149, + 17017268665014206754, + 14294498016917713937, + 11795616412419070503 + ], + { + "siblings": [ + { + "elements": [ + 910168443994154803, + 15194941073923831842, + 4722892402067045347, + 6583908458411489183 + ] + }, + { + "elements": [ + 7276052094643596932, + 4104392731048960951, + 10493058795209204389, + 11615584168624329437 + ] + }, + { + "elements": [ + 12435337515617918939, + 4953105811322173056, + 14692368488044993841, + 16877151875192376925 + ] + }, + { + "elements": [ + 2296048668453469104, + 9610866360352166699, + 4595691812855863991, + 6205790816082131452 + ] + }, + { + "elements": [ + 8941808269916189190, + 11468812505302289220, + 14177415859594757668, + 5675579886167223945 + ] + }, + { + "elements": [ + 1839558355332372839, + 7352174831541198456, + 12129321702259706610, + 18292299482365686013 + ] + }, + { + "elements": [ + 1290188247262465561, + 10875861260413569651, + 8069727223252831279, + 2862335841693057195 + ] + }, + { + "elements": [ + 13866267139339272832, + 8745606598517410845, + 2766574104668361448, + 5704963804786070268 + ] + }, + { + "elements": [ + 13512736661356445976, + 17443131356364747363, + 15506253226294702024, + 11820046790745811535 + ] + }, + { + "elements": [ + 12289204488699993373, + 9302088642034416818, + 409765931901571446, + 8678974006310193767 + ] + }, + { + "elements": [ + 12896109568311004101, + 11434848108764076509, + 14666850624534559375, + 2386257542178407305 + ] + }, + { + "elements": [ + 5245139402693110630, + 2890284426673887240, + 14282594518450942113, + 15034655669135331539 + ] + } + ] + } + ], + [ + [ + 12576997477449741990, + 3718154224442432488, + 3270044231822573588, + 7883397350706251522, + 15465723104852648577, + 16973794246889172170, + 13475594817747497101, + 14794667578874860314, + 17449788135934217685, + 10533620585700223473, + 10317208725495056336, + 4992287033038301405, + 13253534389947557286, + 6214107699721299599, + 7227179156128869093, + 15958579454926815342, + 546046848683253188, + 2969833447643402130, + 14377937873905372183, + 5937911666780505576 + ], + { + "siblings": [ + { + "elements": [ + 4731120657336237671, + 17576019860562650256, + 9178303149033804455, + 9114118619925306126 + ] + }, + { + "elements": [ + 9302542753575285879, + 10957594952439788631, + 6789571865792937304, + 9728542500851937028 + ] + }, + { + "elements": [ + 16279837794526846437, + 558328441774476752, + 11017601469747616527, + 9946639979404349300 + ] + }, + { + "elements": [ + 6526183090502189811, + 10218609654494648662, + 4867154818403127157, + 7045127817689092971 + ] + }, + { + "elements": [ + 139655678318573133, + 8479218309794889809, + 18406224708190627116, + 6076650243244976685 + ] + }, + { + "elements": [ + 18305283109938271849, + 2009448493655618408, + 15130117157891087667, + 10986963962111298645 + ] + }, + { + "elements": [ + 3975868945709097886, + 3459837605660663893, + 10334949169096260876, + 2175433612649779685 + ] + }, + { + "elements": [ + 9156547280201727428, + 2776757522653268741, + 17494201083647035313, + 13805930808213153844 + ] + }, + { + "elements": [ + 889313709134682829, + 11759382357220354211, + 10809837912894897659, + 17591076098265818766 + ] + }, + { + "elements": [ + 14614172004222593319, + 9904515900751659262, + 7121561138095202548, + 16279535286892480383 + ] + }, + { + "elements": [ + 15297304828957328091, + 13608095606509049999, + 2929393790513117229, + 4310248298211013353 + ] + }, + { + "elements": [ + 14060909273504827280, + 11658891001349671739, + 5647830456506654212, + 10148827473949208132 + ] + } + ] + } + ], + [ + [ + 5267026044013537739, + 18162261090128686219, + 9802266538113142497, + 11012305629364730419, + 4230060135418176424, + 6877475076327028496, + 9063104785385416701, + 2253933078840781519, + 4024870077185046716, + 15699943976537408045, + 6638937459319997941, + 16250636595246226441, + 2813177709859815597, + 5664430695513449092, + 1533129104355213183, + 7599762697549911239 + ], + { + "siblings": [ + { + "elements": [ + 17508974393156275803, + 2939812516917528176, + 1568531620568362937, + 17312492620628011386 + ] + }, + { + "elements": [ + 13657215933141594941, + 9781756153444798130, + 3711030848288486299, + 2161864900388947799 + ] + }, + { + "elements": [ + 9747623437120422484, + 1199257372733298345, + 10122629359754580606, + 7159182079454989709 + ] + }, + { + "elements": [ + 12066772298398031386, + 6404864501064571149, + 2352435654118147024, + 16137840378200593086 + ] + }, + { + "elements": [ + 10479280394966112084, + 15935180236077887392, + 16294678729027246303, + 457474501832463859 + ] + }, + { + "elements": [ + 11418545437143149256, + 6990510705147302413, + 8671313057460824349, + 6108120753160539327 + ] + }, + { + "elements": [ + 5957384132489484234, + 8337182546842878585, + 5398546851252863420, + 15590001817329545707 + ] + }, + { + "elements": [ + 12865410094093280224, + 5225489805580598737, + 16564628194063406654, + 12416027807760150547 + ] + }, + { + "elements": [ + 17187684646648432952, + 13802829030741835618, + 11587036270341298252, + 4631088739436242500 + ] + }, + { + "elements": [ + 13140686002940883331, + 17856568343733850138, + 5873575546825619807, + 2196213947201755625 + ] + }, + { + "elements": [ + 4862435600578947132, + 5656727179156489430, + 9348301249100533984, + 10774295546486703242 + ] + }, + { + "elements": [ + 3915723603323341005, + 13215707076217695609, + 8486833915498854799, + 17833116538116832592 + ] + } + ] + } + ] + ] + }, + "steps": [ + { + "evals": [ + [ + 10099267631803180037, + 7444685361472913784 + ], + [ + 14409274936237442834, + 7392760136816168696 + ], + [ + 1829934397665845341, + 11969098405846447303 + ], + [ + 4294975075330367789, + 6361201271795159858 + ], + [ + 1027161270609760103, + 1273219036087508970 + ], + [ + 6660487842479963409, + 14037278098822703906 + ], + [ + 13205119805473286270, + 2486090940607433102 + ], + [ + 6155626033644968343, + 2306008670637168814 + ], + [ + 16652082116031258533, + 10606035375704625953 + ], + [ + 2702797700006115370, + 8700953481451188049 + ], + [ + 6978350426962294727, + 1136379282171602996 + ], + [ + 12083274975615687584, + 18132188585787513756 + ], + [ + 12656429857077371063, + 16482982930653539846 + ], + [ + 15190346307698908597, + 16518101591717884632 + ], + [ + 2012259934401351332, + 8548686556607839304 + ], + [ + 2747775822342884624, + 8119426490041725673 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 6930017224503733393, + 14108729475481594338, + 1495740107002023455, + 16986568146402858669 + ] + }, + { + "elements": [ + 14011762143644241501, + 17364900292381769924, + 16074264260340024757, + 12805775768073666760 + ] + }, + { + "elements": [ + 5425437370444948483, + 11880833252296126963, + 633604654581241984, + 10735553993894227726 + ] + }, + { + "elements": [ + 2962963405263244183, + 8624606598348946129, + 10297604332286605069, + 467993481293333291 + ] + }, + { + "elements": [ + 16385788153578036360, + 16229469458202459929, + 14274379730434788849, + 12587108844333540738 + ] + }, + { + "elements": [ + 11543830563516432481, + 4718533505024274199, + 9455348887149873747, + 8858867613587062436 + ] + }, + { + "elements": [ + 12365937839527292275, + 2853747213716073863, + 14933465256898022801, + 11212163704693948196 + ] + }, + { + "elements": [ + 17762400924556482914, + 5996619643149433357, + 9515460695130410160, + 8129129569177006296 + ] + } + ] + } + }, + { + "evals": [ + [ + 10990609601643258750, + 13265908355456045330 + ], + [ + 11279744998384353300, + 6836564220767804513 + ], + [ + 3251213055557562910, + 6438057241793876125 + ], + [ + 4185670849867679941, + 145871110072419515 + ], + [ + 9953458639595833623, + 14723641192432245086 + ], + [ + 13459173033962420085, + 10408454911747665793 + ], + [ + 11392197317748273833, + 9602466540236841445 + ], + [ + 8843875334940213463, + 13426558880654801257 + ], + [ + 566125144066614256, + 2745782721341411638 + ], + [ + 17973973999304025096, + 13126594565314706785 + ], + [ + 11913816654786757605, + 783102137003342802 + ], + [ + 15519379065327391940, + 2839941436980065914 + ], + [ + 4955998530779428815, + 7156646378239970199 + ], + [ + 11346112349210584176, + 18019269688265507151 + ], + [ + 8106750090851008333, + 8128474495624746305 + ], + [ + 13645502413147482603, + 8852095160174247039 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 11967487559134869235, + 13907865706482047473, + 6650796290423820388, + 11026834333186784284 + ] + }, + { + "elements": [ + 4658474184884424769, + 5496810561392821529, + 11042322872501544286, + 11996759097880965605 + ] + }, + { + "elements": [ + 10114869794497689753, + 12818958307962844444, + 3005073132797172393, + 13546588911039440808 + ] + }, + { + "elements": [ + 6563618183356980717, + 12672372425151319204, + 5218628210949514577, + 7789258791995586222 + ] + } + ] + } + } + ] + }, + { + "initial_trees_proof": { + "evals_proofs": [ + [ + [ + 8542120662781542733, + 5198793254376175256, + 10448919048946381084, + 3602232864305503694, + 5986914667770321189, + 11427425817647961350, + 4135838791248585195, + 11561163738537465712, + 9148372894895253779, + 14167814423370199481, + 7177282055463684274, + 1251158901719911374, + 8820236714937713159, + 12627165939027073925, + 2778918393225367195, + 9282893232129118778, + 13822814803010757403, + 12630771202011008591, + 3320660501307047729, + 9575553072860977301, + 9910299391966986226, + 7077086955854413407, + 11835473174983291067, + 12044363929032175664, + 13777779232600992598, + 14145577364311613826, + 17103199195863835662, + 11466384928510385231, + 15846704212022502170, + 16631828067630029074, + 13448086023775009285, + 12044070838600405310, + 11473196003114819927, + 15274047059649829091, + 14529506757892299768, + 3772360114217629367, + 16070087270435729308, + 253809677561996680, + 14776468901163725125, + 6383897509967676251, + 8681402707070462304, + 9999965459361308395, + 6936027384322948893, + 4991486112282293098, + 5392396213445120427, + 12676567507144931186, + 6587801947692640140, + 489817425414209573, + 17774098944549705195, + 5995081264207055931, + 10449674886897684266, + 16913243301957097191, + 9428505827110544410, + 18208537486004922649, + 7514017285556208837, + 247676799174143541, + 11739965360648275854, + 919064336484424112, + 5743240880238908897, + 6690535645098425325, + 13864342608006965273, + 1651409317048843714, + 7580335988920148964, + 13521973248837127009, + 13631314897948329034, + 10797675478709462919, + 2881396538853285473, + 12379015826756509585, + 5662346656326528604, + 13388784031160547971, + 17057141608032875189, + 16046661484066952502, + 6463111445302428176, + 1339930770527802612, + 15854740497304212217, + 11027764567107258363, + 1474542733804200204, + 5290310945177004057, + 11150026123906049493, + 3674831061568860406, + 13572779583346957777, + 3819253621129755956, + 9168753222785353380, + 11836354749163404712, + 12996356570514183521 + ], + { + "siblings": [ + { + "elements": [ + 15352697332009468644, + 10179593432285911120, + 5191658396454506198, + 8849058636699991735 + ] + }, + { + "elements": [ + 6613502456348948683, + 5006215650117161768, + 826078068461489348, + 11402909601992826635 + ] + }, + { + "elements": [ + 7590569860790041107, + 5155406520394108681, + 1391143660385125527, + 17420296481674133242 + ] + }, + { + "elements": [ + 7125640677637627272, + 12922047229443161678, + 9044230534824829098, + 3814276695811215235 + ] + }, + { + "elements": [ + 3793828023202786787, + 12901411174857398739, + 6111814282794498569, + 17720079099041086513 + ] + }, + { + "elements": [ + 9876321767575517717, + 1433453358514225976, + 15557940819961121712, + 1786315257146787396 + ] + }, + { + "elements": [ + 3482674556754657072, + 17598252923575388786, + 10223015088785398650, + 837179989559896874 + ] + }, + { + "elements": [ + 5671118760829137052, + 2828993451628333831, + 18345877045106429902, + 7754022991553880280 + ] + }, + { + "elements": [ + 6788959365996055650, + 9431830280962289253, + 12120182204322586924, + 17273818146140515782 + ] + }, + { + "elements": [ + 2478132952419015076, + 4116790066480756527, + 17963043014129831528, + 1189394244143663339 + ] + }, + { + "elements": [ + 6486215050064601676, + 18234930431887824199, + 18322928280374755007, + 6505047840066077975 + ] + }, + { + "elements": [ + 2439190789756966125, + 7780466906875685117, + 1952009947048564008, + 8408075226800120659 + ] + } + ] + } + ], + [ + [ + 6777473931215037729, + 2822408929072952905, + 3524087635172368287, + 17680602238170885138, + 1713209346526130619, + 11253858141806821765, + 13841254065029181343, + 15632051868759915101, + 7002299537094728856, + 8192636562515755237, + 11245435305860544186, + 13056704207450438107, + 5890630203291939646, + 7788410934074149, + 1613470415457159270, + 6520287389442546168, + 11977745620097396826, + 8091363043304086721, + 17451659656304480474, + 2050460702299324900, + 16855066763070062902, + 13733572806859267694, + 14540332563592964771, + 16219632204962234966, + 13630759689153946268, + 6512519840027020525, + 14520280436891403833, + 301759585991631200, + 14011762470244597595, + 422482254942983129, + 9901433172205374105, + 16791839432076850309, + 18276849344323695037, + 6708750317682917873, + 1122637728329889279, + 15990515934584587701, + 540006778657616061, + 10429614650506367036, + 15322965006788915372, + 9613869707057142059, + 4461872928481949052, + 1542463435005625031, + 7500545946275206863, + 14779806413856116492, + 3726308286192682229, + 11379756839115459300, + 9784199039895053079, + 8945645857308435223, + 10358631704521588706, + 8417639862219091301, + 4159164764582801244, + 18259782885134746057, + 13198503564174073475, + 15268640099188302269, + 14715711315777793402, + 925839329040609588, + 123299704292133745, + 13428769163047789588, + 12185679209383600676, + 5384232661289375726, + 14585319554795843866, + 13144386345785070788, + 16587180063230437708, + 12264402902912789154, + 9674229147715756406, + 1141014513574108032, + 3174297255927014104, + 2950758278114471785, + 11166203851438808232, + 6669380864485428845, + 6090654226203841305, + 5723397900015719450, + 1647528913027393273, + 16216750270995823345, + 1120759911327015827, + 10622736556525543888, + 14872099109365386932, + 492044402157944161, + 2398162654869841803, + 9928569313250414001, + 9124032617659083283, + 2496958247670025003, + 6236349714019223851, + 42548340568234894, + 17542675468651856186, + 155269407038450752, + 2852480149293382025, + 18017708083074169894, + 609643649070069798, + 14138501672894310302, + 14955774452027168578, + 1464980383060024217, + 9814870070094652051, + 14834955868433187816, + 545926159806928693, + 7963107385367487898, + 7462279422775968284, + 14914490662567455002, + 6892655585834180539, + 6068346253385765204, + 623908336061154529, + 8335737843099484168, + 14005142752273576586, + 15659506294736003420, + 1375402113619820426, + 5816504751882558822, + 17793887555693918659, + 5657433010762996662, + 10001839048129939587, + 2491921798697837223, + 1567310865347385765, + 13866882760424981603, + 32547711920015917, + 1268148705375143712, + 7124871974293268117, + 16516199499088191969, + 15880755447369379864, + 16595609597454415334, + 11457730640746529696, + 14612796434302165149, + 181055768725594739, + 16430494248646461720, + 8055472549187081377, + 3431966645776026763, + 13981462525752071204, + 16626166734288985619, + 13263481532158032091, + 14673090863062309534, + 8786447793295582980, + 4374823941637855057, + 1270021438811600385, + 8227677261987608430, + 16657650098804271066, + 2682246661786696238, + 7128695467333845492, + 11758047011900147119 + ], + { + "siblings": [ + { + "elements": [ + 17852089440824354664, + 4576577552358226583, + 6920884411977424923, + 17608602887025470468 + ] + }, + { + "elements": [ + 11958918187129550097, + 5054264366894678501, + 18201750833703921821, + 18254267492112694349 + ] + }, + { + "elements": [ + 14304318717083175681, + 6064584997899603005, + 14227177395292993889, + 11721567704665143108 + ] + }, + { + "elements": [ + 10477375365069100220, + 14164647500141374731, + 15368974932766531593, + 1351802995679003903 + ] + }, + { + "elements": [ + 16171770284045082534, + 2125131782057927173, + 18402112643761219919, + 7793934836895002054 + ] + }, + { + "elements": [ + 3914199978691267562, + 7193264819315762282, + 7039990291948619590, + 8482529464364929146 + ] + }, + { + "elements": [ + 2086769479990585845, + 11060402324433155323, + 2172578610108237957, + 15906805741380330387 + ] + }, + { + "elements": [ + 11247390929136901763, + 6956301920227505360, + 12722554607664348295, + 5810184655688702496 + ] + }, + { + "elements": [ + 13517705948053206411, + 5713435984743293202, + 9832644930584047605, + 6796681161330249000 + ] + }, + { + "elements": [ + 8418203720481760396, + 9445297748348656715, + 10154813885484558888, + 1552854008389443776 + ] + }, + { + "elements": [ + 1206567109253194100, + 6998972021482977142, + 236155882672145602, + 16483233845944277845 + ] + }, + { + "elements": [ + 3871231780736948081, + 14055359972402555514, + 15719196219548405774, + 14102801614314511119 + ] + } + ] + } + ], + [ + [ + 17670355382992989872, + 10186121720985678681, + 15571621334341013063, + 2651916377172218596, + 5496758478017227450, + 1212146252720902913, + 11056771896051570323, + 5419973931690235908, + 4593128543553470139, + 1622787953149072442, + 11017760336101979772, + 18077563558694075132, + 3698767017931394529, + 10163880338724084397, + 18244729059109466783, + 5726159068295423503, + 6096146917767766153, + 2789198860571675167, + 7931354654917692946, + 9370704097491969656 + ], + { + "siblings": [ + { + "elements": [ + 16316401803926484371, + 5404381323248826635, + 14368241805742310545, + 11587883970195530469 + ] + }, + { + "elements": [ + 14654484006894808897, + 16447400409419838203, + 17824958824408958169, + 17234011051532939569 + ] + }, + { + "elements": [ + 7556805312054366653, + 14055146406136413203, + 8030745136176142324, + 2595112779588742918 + ] + }, + { + "elements": [ + 932380628637179984, + 7725586587406254558, + 16978636272939912265, + 15762787133932008829 + ] + }, + { + "elements": [ + 10823383686193095107, + 15563278449271063906, + 15104134556652310523, + 14633529018181427831 + ] + }, + { + "elements": [ + 5723269554980222938, + 3942044449684788922, + 6862980672485668749, + 8838038626659399017 + ] + }, + { + "elements": [ + 3508401401495070086, + 15834789332498776880, + 5821442059486037398, + 1316146150196361695 + ] + }, + { + "elements": [ + 408056207633450584, + 4352063972914233166, + 2269515315171633730, + 10690700064684363449 + ] + }, + { + "elements": [ + 6268272984950911426, + 6565326843407777078, + 18318442149018786298, + 10910490727693681631 + ] + }, + { + "elements": [ + 17977554526664835802, + 3163331914689773554, + 2542773788600653831, + 3915777232641939730 + ] + }, + { + "elements": [ + 11796327493160577579, + 2170681217544225123, + 9317214081920366193, + 13067782737238149114 + ] + }, + { + "elements": [ + 3758736212462099416, + 17377519431862706729, + 3338867750724959217, + 17951802184085641880 + ] + } + ] + } + ], + [ + [ + 1618521822668461790, + 10750792399136309337, + 91172783032079699, + 6554650947862256706, + 2666753936514221899, + 5927186555181314546, + 10408814476593890772, + 16496220735291317164, + 14369833732615561347, + 14306828750811682283, + 14292175268992998351, + 13907897264478385278, + 3837693544272211331, + 8430379966043113196, + 6461678150297255637, + 15423015594549475953 + ], + { + "siblings": [ + { + "elements": [ + 15949090772951688285, + 9111600644511717141, + 13768973720722240597, + 7164051609496980918 + ] + }, + { + "elements": [ + 8546057000566842013, + 17130184568110270468, + 12942775418846130677, + 7152173819558306759 + ] + }, + { + "elements": [ + 2008284326959610672, + 2621784212028138146, + 8903214556167282894, + 10209673322390841447 + ] + }, + { + "elements": [ + 4838614392631613454, + 9935249552907815687, + 3431051268738945941, + 986311688607735274 + ] + }, + { + "elements": [ + 14205739895604409291, + 16065702207989677179, + 10484956939365720734, + 11750563926866708187 + ] + }, + { + "elements": [ + 13387229280284288972, + 6481025947604894092, + 9138410854318828685, + 3370145253871755396 + ] + }, + { + "elements": [ + 1236672874688781853, + 16971639715686765240, + 4252853933747824012, + 5808051459933106096 + ] + }, + { + "elements": [ + 13223100380325988951, + 4898746485027563532, + 17533737800369601074, + 14531363915739664235 + ] + }, + { + "elements": [ + 632526595990773227, + 15252877160562980213, + 1077813058363173142, + 6808468903749237588 + ] + }, + { + "elements": [ + 5662637234881132387, + 8446099712006337758, + 12409219836529205690, + 4929957735861291570 + ] + }, + { + "elements": [ + 13756416941786962428, + 6628621856310702206, + 10938003857347764882, + 14007712143520289261 + ] + }, + { + "elements": [ + 940991621227904944, + 15823090548272309216, + 4587437395001143765, + 16985156750840049823 + ] + } + ] + } + ] + ] + }, + "steps": [ + { + "evals": [ + [ + 15555415794428041765, + 3735480238336331601 + ], + [ + 17846265093608046541, + 4039106442234482847 + ], + [ + 16961134133580217285, + 6777522834296054555 + ], + [ + 3498316826492087523, + 9478884633982817830 + ], + [ + 16583620696997910880, + 7870584995344358781 + ], + [ + 13893606680545499598, + 10049357957970018510 + ], + [ + 887675272240152415, + 11785958276641444913 + ], + [ + 12349594247062545352, + 1222284822778839312 + ], + [ + 18267093551727253381, + 5528859727853591274 + ], + [ + 682316357802469431, + 2922498270501263088 + ], + [ + 16134340154776592241, + 10533680009910206399 + ], + [ + 16901224922136689623, + 11147931840833324095 + ], + [ + 10122609136498582821, + 2500710250681899630 + ], + [ + 11795749250125660250, + 4329179339360046805 + ], + [ + 5780386151363755213, + 1593702493968201699 + ], + [ + 15227937054369694013, + 3600490256016546097 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 10145591724698086262, + 7285784974140742268, + 11740146029959264495, + 18426304775157688753 + ] + }, + { + "elements": [ + 9077382179548643550, + 13634375351641295424, + 7179789112970071819, + 17517145752651131850 + ] + }, + { + "elements": [ + 16192632086270023081, + 5878307494606956513, + 14675355146396173540, + 12920989280469457413 + ] + }, + { + "elements": [ + 13657627847866313863, + 6585637133998125316, + 12492490406989924482, + 13763743005272981564 + ] + }, + { + "elements": [ + 7767455849787680879, + 378591423864617487, + 14034959103781407193, + 10248698462717414329 + ] + }, + { + "elements": [ + 17070062938705452086, + 16844682875381751306, + 13157046069423168367, + 3278847221501803223 + ] + }, + { + "elements": [ + 3998786211462647966, + 16127481679978124415, + 13284096398507025727, + 12751164399555368332 + ] + }, + { + "elements": [ + 5910375649143861286, + 15448165283745393028, + 16496599238185367123, + 10123967076192431433 + ] + } + ] + } + }, + { + "evals": [ + [ + 16327902596190301454, + 564315065697348456 + ], + [ + 11069361977434158163, + 4641952427751181867 + ], + [ + 2727899540549709054, + 6231541790878737887 + ], + [ + 16998364413178337637, + 10625199686940826887 + ], + [ + 18142454554419837250, + 797966986577781459 + ], + [ + 808626098593045065, + 1482881100667578813 + ], + [ + 2010339293189235253, + 1056111457252474964 + ], + [ + 9589904175070807216, + 11363708889553477582 + ], + [ + 5639680369245002012, + 15688580873369587854 + ], + [ + 10075015778922247777, + 14686890138717362070 + ], + [ + 12571705119143730935, + 3843601996321069667 + ], + [ + 9095738374042919792, + 9279375292055829088 + ], + [ + 928419642622651389, + 16075244686183974753 + ], + [ + 6618629480340555985, + 3379215170875797945 + ], + [ + 4566568421959690749, + 17161790438055477763 + ], + [ + 16991931258307202298, + 12863881824144142882 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 12646364437648059767, + 4199739843741639148, + 6512430242161612856, + 5315775056981466636 + ] + }, + { + "elements": [ + 1217963180665623274, + 11968443946700561767, + 6116514368710554443, + 8182012835943324312 + ] + }, + { + "elements": [ + 16269961004467985321, + 15398099556936425857, + 6748811157457064066, + 3641881502187464866 + ] + }, + { + "elements": [ + 11259971561802051406, + 6129103244223477151, + 7418983647847506062, + 9355424249859788530 + ] + } + ] + } + } + ] + }, + { + "initial_trees_proof": { + "evals_proofs": [ + [ + [ + 15138243002398967477, + 11291769563040228658, + 11469204767024316370, + 4313664069820684482, + 1662549283003121480, + 12892270508602381443, + 16234267906119742355, + 17260907712223880230, + 127610645809807968, + 18043610694169452854, + 6945201373184632952, + 2242352176556338856, + 1059526420804531179, + 4948800455681213199, + 5546550905544446011, + 10382139796375382605, + 16299221298289250885, + 1000739419856256544, + 7567841406148908158, + 9900772286283569742, + 13907418074376592656, + 16524218690791896413, + 16655741254929082163, + 5002140384010211535, + 18177101666668814833, + 6932519207492169623, + 8089473350768456734, + 2840474465822484905, + 1154275674032789390, + 1832263980147530558, + 11733213063423613249, + 14622770445365172582, + 18148003547800402985, + 8870642380996894631, + 14119418926670360868, + 6483666693091031122, + 18291771597909562137, + 10866378974025123792, + 9339465266075675159, + 4032562501166281526, + 2873598574858674258, + 15952283209954466269, + 9066786547422429277, + 8565557549604994058, + 6883800662109647703, + 5824957680929271305, + 6993392238530437482, + 9338932642217129455, + 1241337195208924119, + 830028856919868866, + 6729640433177759614, + 13124365916222425131, + 11684671831680861568, + 10077703790467299993, + 15917028423836058917, + 7384380462009608727, + 9048718867556571530, + 11441754190795388914, + 16134592234383594107, + 7115183030341452446, + 18073596570229160176, + 7039802321473509910, + 5943981533804125608, + 14010852992018919776, + 7737630478145026499, + 14582148008965519976, + 3414043577728663362, + 2640086986954525097, + 18384569690348471796, + 12017406267133317468, + 10379762332252559870, + 14866392965400717148, + 4947820831905643694, + 17408828190017699896, + 6935857875149552233, + 10765790263315748515, + 2452718054150245594, + 3005295696209995372, + 2093299073019503806, + 15966256223215098143, + 15063867769362135767, + 4122546609592401735, + 2552915723906453394, + 15680947039216190427, + 16166941273366008757 + ], + { + "siblings": [ + { + "elements": [ + 887324324499865958, + 6291929678228960698, + 3166421478757484846, + 17511840883341276396 + ] + }, + { + "elements": [ + 16141942199333266175, + 7589469364555109931, + 18298150382620891241, + 11697144316091467489 + ] + }, + { + "elements": [ + 15843797736910735598, + 4983780121149156260, + 11766473073607804054, + 3015149993440523774 + ] + }, + { + "elements": [ + 5426890394518247231, + 12062266503196731868, + 3949088610330871242, + 11959649919581400528 + ] + }, + { + "elements": [ + 302932655465227448, + 11353813455185328400, + 14878400972792808584, + 7252468085496827319 + ] + }, + { + "elements": [ + 13849998499120815148, + 6146402429306689149, + 4200528819660065075, + 7691813869378229454 + ] + }, + { + "elements": [ + 6402296291656600938, + 16536220324674723817, + 9917229460991310586, + 4912777372390640864 + ] + }, + { + "elements": [ + 15138850625951942325, + 10021001628066613839, + 14305141692393122508, + 14714638260173583098 + ] + }, + { + "elements": [ + 12600138797005830310, + 6749011601186885821, + 15901265732527677311, + 14259135572060150729 + ] + }, + { + "elements": [ + 12488204972263941594, + 13869384118466329228, + 2601344906591179327, + 3133755233252373511 + ] + }, + { + "elements": [ + 7284874553372674494, + 9316197034524833839, + 9088617723000892961, + 7812202845834693893 + ] + }, + { + "elements": [ + 7149408847722932775, + 10441923486607315837, + 14119041023369932806, + 8264357693174096049 + ] + } + ] + } + ], + [ + [ + 5730581819553949506, + 4066951272326484382, + 15844004481598469421, + 1104389638589356866, + 9219657444075967044, + 477089646952352482, + 12177194506188521784, + 13381518926091508148, + 15809694891984047285, + 10194408604376977601, + 7684967547637698752, + 14236203540456092360, + 11425313522173797895, + 5015119136369161020, + 7487842622594620864, + 14103086822422676584, + 2432272525002362099, + 6419326552118657094, + 4342953645474767885, + 14539080835677359073, + 8665188011084618963, + 12260398816987650470, + 4305098515511602303, + 10224064368792021431, + 4606224752550913334, + 14865944843322403407, + 9319328633035979993, + 7505227619050967840, + 998800838896960676, + 10721208239565286979, + 8734697636597686677, + 447932755175081954, + 1963010096081842283, + 10281099592043064451, + 1370326746876940653, + 7480923651573355329, + 15225433144505048928, + 4550339636491260717, + 9420035328490630954, + 2169069384624610424, + 2562698925945373142, + 17347631710848842277, + 16757617594799111668, + 3420097921279541100, + 1934749801440603057, + 12864539905506784118, + 9387699760238373165, + 15641935475304642612, + 1581982410500776124, + 6564082110121483471, + 13822428246280788399, + 12336836044676938123, + 17203598492889810949, + 16216902232897202999, + 1824686814336044357, + 17973805878014277815, + 5387416720775922210, + 3406468201626401067, + 9146422738586331461, + 6506707399548046748, + 17744485238174198353, + 4401679464261943480, + 9478243274791181151, + 7792444450508413860, + 5069216077001745684, + 5922687342313550661, + 877600064721708662, + 17455059223813936648, + 17147202342032742896, + 13622672950141852079, + 13677595591052558604, + 18074934905624569932, + 13406039148694673447, + 11197656493735601101, + 17789225930640186028, + 9110789976633848366, + 4843156570724220254, + 10657646773099290049, + 12904333977811165440, + 5367236223231864373, + 4498371109097890112, + 5668426235789167217, + 5893562732650114819, + 8089072708068073833, + 16189353277794944756, + 8826368157511405458, + 11950230045406242267, + 9989738067202034972, + 6767626671999291604, + 3598808278028543271, + 5893875714267393621, + 3706442101117729700, + 4150200007500652506, + 721821166286998113, + 12261763170628904391, + 14081776354803499017, + 8207778368042188098, + 6764530025389843382, + 15117399735414385765, + 7145789084467593004, + 9184072750277124680, + 15474376121534905603, + 15429116814886057861, + 3539568046953112706, + 9444489189394271756, + 7644427561234134221, + 2532933238608410710, + 13950515834605835419, + 16243411231630997986, + 1574853147275645828, + 8076538831389361204, + 10431572291457006469, + 17190213648787077123, + 10338570361800346966, + 8748520496342297337, + 2391238100058976744, + 10739818843061997109, + 18084708881029066223, + 14937556139922786251, + 3593259000258155806, + 5147110407408563943, + 18011466734398432885, + 16108723928115064297, + 2877048919137443847, + 9523523210278824267, + 8126754030306796621, + 1990406138482612757, + 15818473221481821337, + 1124246451033546751, + 9134764942216217375, + 13389560792763026972, + 14452562275380476310, + 1403390869203330664, + 11692869346737578268, + 17301465531612362120, + 9944806684683176253 + ], + { + "siblings": [ + { + "elements": [ + 13411638790937885555, + 6367867637918986147, + 9112824844209642334, + 13564099069908742491 + ] + }, + { + "elements": [ + 8059998336891346119, + 9433652619182556867, + 4258930345767048213, + 9048699600422000586 + ] + }, + { + "elements": [ + 7982013198556790670, + 7984106181941697161, + 14564510925964584779, + 16480233079914320458 + ] + }, + { + "elements": [ + 4262532458596928032, + 3060616424117059768, + 15641122991952267054, + 5971675936024515435 + ] + }, + { + "elements": [ + 8845457721464278016, + 18005156433390479696, + 15108441855640281740, + 7838721729686042491 + ] + }, + { + "elements": [ + 1364652000877312595, + 9602433953810648111, + 13519212773631591105, + 13922186723344572789 + ] + }, + { + "elements": [ + 5031559372970701577, + 2380195597200801558, + 9010539970075773880, + 10612086648670791531 + ] + }, + { + "elements": [ + 9214468990927704698, + 18307596917799084652, + 283460036024402740, + 13457645895238712714 + ] + }, + { + "elements": [ + 5024472389649992467, + 2018984062660643286, + 7640029785561652460, + 9032445745873679443 + ] + }, + { + "elements": [ + 5565511401728945655, + 14170285108286873567, + 12877069326755367275, + 11567999748101813287 + ] + }, + { + "elements": [ + 11880414373250934956, + 10779830938104211523, + 10072594821253419709, + 14364824008050989777 + ] + }, + { + "elements": [ + 5334638550516404267, + 163215194369528102, + 8022098787184396525, + 441518950163739799 + ] + } + ] + } + ], + [ + [ + 7186967105163723959, + 5006447441168164579, + 13007539724933857281, + 12123394067290101590, + 9620228182625741823, + 2480815856406238042, + 3955365529798338322, + 18172084152513411271, + 843858792718487649, + 15975135647713819471, + 12020451169159797772, + 17872236916830070557, + 16163019837177400747, + 11937505672939448626, + 6275838454362899526, + 7259149999026863103, + 6024189797098317883, + 11274274764067573021, + 13466061525612153188, + 15032134270344940688 + ], + { + "siblings": [ + { + "elements": [ + 10402345239996100561, + 7012354485764209765, + 7201669874446291106, + 16897699448739701314 + ] + }, + { + "elements": [ + 7114029462990198922, + 13973253525365261362, + 10384848292264498155, + 14664119981003384742 + ] + }, + { + "elements": [ + 8113452078098250477, + 12359976027063909260, + 9313484565558045537, + 8657961033637534014 + ] + }, + { + "elements": [ + 15315993078307592464, + 3545540919248409702, + 9409135129064763828, + 4330129109975219208 + ] + }, + { + "elements": [ + 9670452266037437734, + 8031075659283921522, + 10493902386259554393, + 11442891614224254399 + ] + }, + { + "elements": [ + 4200163116513936734, + 12542226814243690489, + 3658441099254333098, + 11212035942764949265 + ] + }, + { + "elements": [ + 7388500756043121158, + 1253914386463075819, + 13184898337261720077, + 1005038528334608170 + ] + }, + { + "elements": [ + 2003164996249809357, + 7340530170232999163, + 2840095086507693684, + 10982882973625302071 + ] + }, + { + "elements": [ + 13813637269788686426, + 5913368207243180062, + 8887375128536152855, + 4035632828070453265 + ] + }, + { + "elements": [ + 1649827723488230800, + 1687919828581672158, + 12666051732760472252, + 7631374178792718326 + ] + }, + { + "elements": [ + 7474727865626891838, + 14337303602335341845, + 15414703648476685872, + 12891862689082798435 + ] + }, + { + "elements": [ + 15062546824536624079, + 16601999484726731381, + 4588150196710111504, + 8955656718810895512 + ] + } + ] + } + ], + [ + [ + 7060192161830399422, + 4744880079074384719, + 7058403466230065990, + 8598987323420650678, + 1276627906539939797, + 8139678421240316280, + 13342237626539776952, + 15968444239179503125, + 6481752625574126858, + 6980778653388306696, + 1914955664825128320, + 13092144369552822958, + 16829948345454759564, + 2440184184341229875, + 2618473606101839756, + 8359974472867309866 + ], + { + "siblings": [ + { + "elements": [ + 12738092265408736299, + 5277509990812897012, + 3940646740012017732, + 11336067614774392695 + ] + }, + { + "elements": [ + 7403947556416780228, + 12227155344642996865, + 11459751145116067412, + 16885052758830434878 + ] + }, + { + "elements": [ + 14461315932433742189, + 125456560686313402, + 18020237477878594618, + 17480977344948141243 + ] + }, + { + "elements": [ + 13171292673427146824, + 2921137171215598135, + 4681110379779850861, + 18096736856587812426 + ] + }, + { + "elements": [ + 1217936813634195069, + 11980516212296152364, + 6287129241431469261, + 13671622025393050633 + ] + }, + { + "elements": [ + 11895302551199840672, + 15976179057912420734, + 18375800884902192893, + 2602810276673356912 + ] + }, + { + "elements": [ + 1111529540982936076, + 12251544974739275210, + 5277456563536307707, + 2049500450752112079 + ] + }, + { + "elements": [ + 9261061211044746234, + 12394206306994688619, + 9642336271023221275, + 11099859609173225734 + ] + }, + { + "elements": [ + 8418377335136552674, + 13245467709673794992, + 7062739229506308423, + 8743410510492794970 + ] + }, + { + "elements": [ + 16023487929934592135, + 16703259882475345158, + 5990629081593741154, + 1488664334985234103 + ] + }, + { + "elements": [ + 6538607636118858799, + 6753337633514016269, + 12051539550801450918, + 3563388444125808690 + ] + }, + { + "elements": [ + 5806977200241163761, + 6670351956686988723, + 12729238785494827326, + 11086696506805914927 + ] + } + ] + } + ] + ] + }, + "steps": [ + { + "evals": [ + [ + 902386840183351306, + 12194965103237608154 + ], + [ + 6912981120012119739, + 299379440968588934 + ], + [ + 1585067429118138686, + 7205120626720033720 + ], + [ + 8005713790077730039, + 409453185338240724 + ], + [ + 1658006062704693134, + 10221843538455827527 + ], + [ + 17396616739244983937, + 4451617192484233952 + ], + [ + 1794982834050806286, + 4097685859389817506 + ], + [ + 10173171120707082251, + 3590334913619087508 + ], + [ + 5563951531204375811, + 3108450550667338507 + ], + [ + 7063070518952449994, + 183992337846091402 + ], + [ + 3520184355703731404, + 13270128478939659126 + ], + [ + 4051316296830098994, + 15889519757635210295 + ], + [ + 16290292538572009983, + 4053592881407345687 + ], + [ + 14377494051272753558, + 15757947925125880884 + ], + [ + 15358501664621224937, + 13081189333284800482 + ], + [ + 248175031303576623, + 14180678802742896020 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 2416907500459770030, + 5609080028024702070, + 9986274029422578483, + 7272704639727438285 + ] + }, + { + "elements": [ + 12529797899727668034, + 10684259758764250582, + 15062390672117723790, + 7732884054727975404 + ] + }, + { + "elements": [ + 17728878885467005183, + 17935010579281993461, + 14082176677722911588, + 15076451322432534194 + ] + }, + { + "elements": [ + 15728171537678382412, + 1263596340712631955, + 1969049660444093222, + 12711883302392111739 + ] + }, + { + "elements": [ + 7513707079609944758, + 6086847428646268615, + 14679972461062276909, + 13742800968254909314 + ] + }, + { + "elements": [ + 117752236367533969, + 4659863534566650622, + 8011860596543619138, + 6418236382657553802 + ] + }, + { + "elements": [ + 13203066007946704229, + 17229880197475007673, + 7801549377446736670, + 16454207174557381880 + ] + }, + { + "elements": [ + 499749457023998126, + 303791642005384726, + 15603772659653473779, + 15399029892832511460 + ] + } + ] + } + }, + { + "evals": [ + [ + 13029939968036246945, + 14965735382362506865 + ], + [ + 1545524117307597455, + 9444069844132058873 + ], + [ + 1010393021525846637, + 13618241586633061986 + ], + [ + 768692559044380056, + 15982740288834105643 + ], + [ + 14506152018073480870, + 17824367988588898481 + ], + [ + 17476379441611812949, + 9808421620325088048 + ], + [ + 17286124323976249239, + 4446636186604709324 + ], + [ + 17603975301424740894, + 917546080288769115 + ], + [ + 17397075392695340030, + 8610667551203243186 + ], + [ + 14196610870805666646, + 3105575697509651517 + ], + [ + 3189637649507338521, + 15140025342911421559 + ], + [ + 2461123519814812254, + 5353489621289898860 + ], + [ + 16562070147533261868, + 16058597471031148528 + ], + [ + 15991103797425737367, + 13700628956011943773 + ], + [ + 12340931617615047486, + 2781647180557977379 + ], + [ + 16340045413973929017, + 14479715864890482210 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 1152504264010914014, + 15062125124644815731, + 8093732694751574159, + 7590570806873064933 + ] + }, + { + "elements": [ + 7281656564700189247, + 8158550104727338580, + 2187131428732026819, + 7627959257859648959 + ] + }, + { + "elements": [ + 299578386659902245, + 15247040136883929328, + 14470659730599543696, + 5084192544963818674 + ] + }, + { + "elements": [ + 17977281720448735165, + 12166807561834555246, + 17683793103168087838, + 18215651866800091513 + ] + } + ] + } + } + ] + }, + { + "initial_trees_proof": { + "evals_proofs": [ + [ + [ + 479695931467768903, + 3334690573149448798, + 12777860475187238048, + 4028597737268411959, + 286239145105213564, + 3276381058820653639, + 12767019588457809033, + 6672775928818912405, + 4440006101245707214, + 8215160364339467013, + 13704034321119426285, + 3334243302629843627, + 7214232818943327927, + 11369146315624592768, + 14915459394145463672, + 17280006900581528269, + 14432742042985856789, + 8500567122251651301, + 7398642550890035433, + 1523233729914394993, + 13159748928516518584, + 13802266859589053669, + 17990847725967376659, + 9167740783285915742, + 17455381548585643332, + 10867558826712406388, + 10117569343101147235, + 5419948982327697008, + 6436336455627539994, + 1954650192176247282, + 833257697085095366, + 1425938885496571296, + 13604326305755534745, + 9155839278815464493, + 691980745819330043, + 12977608504170961350, + 18069133516009655002, + 5254032598367236386, + 14502586350969561412, + 11993283510496191891, + 9460986838025236539, + 15442013838026359024, + 11594442649478351319, + 11709959612968430685, + 4393993094770073270, + 1530168814054699216, + 10226684635635905332, + 9110323324936546522, + 5121374169643680619, + 18237557074095827432, + 3291299874726381840, + 3071710022703393361, + 13764984627343529208, + 13924120768359978718, + 11331610264503715561, + 12525701407132345837, + 7250184612038293313, + 14827641035877988111, + 17459999132024390616, + 8584569656152928517, + 12409842396692824606, + 6045559203749701766, + 17346933966459041915, + 10914448799477562710, + 12631599297884771538, + 16958906567221360129, + 16606194694361103326, + 12613433018291492097, + 3857259833725603949, + 11210223584701230402, + 9353246418335352480, + 3450389892628962089, + 2680979324237252739, + 16071771958827269183, + 13580238681981678388, + 8665088279625319278, + 5211636425399685726, + 1343836049339792243, + 11457375919411382427, + 8553729659463429178, + 4825643777696052390, + 17899691294601837321, + 16540752803285991582, + 13261178562471452153, + 13814547402098712739 + ], + { + "siblings": [ + { + "elements": [ + 1037120063684364506, + 11728517839547850052, + 9195863446564807588, + 17242162077664613113 + ] + }, + { + "elements": [ + 2067106883213936292, + 3962739398081724721, + 6511476495747737482, + 15241197270070824299 + ] + }, + { + "elements": [ + 1590658016375301835, + 296753261700575451, + 4139698268609925471, + 4656125438196857606 + ] + }, + { + "elements": [ + 17398828510885516626, + 3368593801477276961, + 9753744125717907446, + 1786326230313064904 + ] + }, + { + "elements": [ + 11546326683029062248, + 10282904148930968787, + 9180481705586100124, + 5972025854838685799 + ] + }, + { + "elements": [ + 1614156871185858018, + 13637539973759181485, + 4741764204847269806, + 6200566929754405803 + ] + }, + { + "elements": [ + 10865167134764241008, + 1692309430871491831, + 6437978251307933806, + 12406093239856273254 + ] + }, + { + "elements": [ + 11654668890077884638, + 16879621647460386442, + 7164305624634323364, + 13117269711399725528 + ] + }, + { + "elements": [ + 13595195868949646385, + 2320748264228905934, + 12704509963213936241, + 18196935208400048316 + ] + }, + { + "elements": [ + 18054414863435117024, + 13726645950510177032, + 15126634636702829401, + 17010568840311348322 + ] + }, + { + "elements": [ + 1508581617784720996, + 11849777346879770852, + 3333770623735124937, + 11960803009989467929 + ] + }, + { + "elements": [ + 12724121790711478172, + 8470735880067411998, + 2345629180321769814, + 14664396377761057468 + ] + } + ] + } + ], + [ + [ + 3827604612044145809, + 16820770175295804281, + 15257662704563787643, + 2107762999773448132, + 11055757824952008275, + 7551193420030339965, + 8604907655194762237, + 8280679344174897960, + 7524472338696595598, + 2727355568827341803, + 11234669789462856381, + 6982905646960047007, + 2534779463523903599, + 2245652144206789643, + 8991158463625117542, + 617425615839101211, + 7732967498512700429, + 9329053536248229261, + 2846448912072230057, + 4704159640576383688, + 10895631555178868414, + 3115389776803417245, + 1143016407787455834, + 8502948956199135292, + 6774144341474503014, + 9128808519458910869, + 17745372278054810098, + 15786553820272409920, + 1912461465758709803, + 2988652957255754889, + 1089597727897659798, + 13890659363574144288, + 16654840845477592170, + 12137082365310889809, + 22507857202873741, + 12839119906783314034, + 12468252651201389725, + 2069854619991703064, + 2282532116410232419, + 14761826166642111140, + 14051538695147078413, + 7784582624161348557, + 2142872880862664949, + 3818704827077573768, + 16180801499234938195, + 1040115571064741088, + 18398965251824927721, + 57767280988627355, + 13542374263368304185, + 15373114245976476922, + 14785500763935947353, + 10432860890530924639, + 14205637146107761164, + 3772698026069527433, + 2628417257744547040, + 9426608539664079353, + 7123703393775938305, + 7332849253162394527, + 1102300924221832088, + 7214501624377551532, + 6340040413960154473, + 1255590761838714617, + 71548500304766612, + 13218336740800639603, + 11567830769118400702, + 17401218876139194624, + 12271708410969597457, + 2725749325070176526, + 11732492614546520687, + 3339982058184805092, + 9117142645838531780, + 9580501697164109690, + 11098973626440546608, + 11977635535627017182, + 12329791520544912868, + 10947239583159982512, + 12595057983523074166, + 1605105446996109362, + 15441974944962984244, + 7892953157336696572, + 2027960677998701078, + 11428862244918201720, + 1579769885408754627, + 6684662184308307166, + 8900492107664994295, + 6069774130809537135, + 1629442363263415118, + 2163202058058776205, + 9367579212958074668, + 12074317464696323958, + 14224943950152900104, + 7902669107260327873, + 9628358619342431309, + 4002781085667985498, + 13290942176140806409, + 9364576362841890763, + 357020162566899239, + 17789400440186651061, + 3126397766559088468, + 9664135652158626179, + 4158460967702652155, + 7911445706596208040, + 2913116879219667280, + 17270449678121488437, + 13987162920248589408, + 3514461233451970285, + 17000209142499033188, + 16308340125860269308, + 17312340852808020122, + 2563509699232753533, + 10147103067912636329, + 7426818491124531772, + 11087979720625860156, + 8710874637982185729, + 3901643681361745100, + 7884226290152366869, + 13916868739584680095, + 10167132199126161132, + 7511020154441905010, + 14956306164321742961, + 10406234639509913166, + 10226366353536258948, + 5737788144031452359, + 14806286301778540775, + 11354418378712018582, + 7600544635367345823, + 16294256319875628003, + 5573958194352591063, + 17642992417332410277, + 5799261547222760983, + 2609094835985789832, + 4865141376680650014, + 8817810192122105822, + 12478696104637423332, + 77857983004634665, + 5288554613708026793 + ], + { + "siblings": [ + { + "elements": [ + 2818291717948157332, + 11069615220906977609, + 6320053107477956990, + 722584345047717627 + ] + }, + { + "elements": [ + 3159663172303941001, + 16382388092378891827, + 17111512993566416599, + 6847784530779711545 + ] + }, + { + "elements": [ + 15317688861651941341, + 6524765824168311604, + 17438685995204035375, + 9162823046301672650 + ] + }, + { + "elements": [ + 17516638767680637234, + 7273301872739601453, + 11054851901382165014, + 13254675848706228369 + ] + }, + { + "elements": [ + 8179994899637654311, + 1116794105839170530, + 16223091674973352026, + 1518559666209729941 + ] + }, + { + "elements": [ + 10619884106587834470, + 15535885154993889066, + 9689278855081290489, + 16068191645805820112 + ] + }, + { + "elements": [ + 10590027124325988810, + 7908816856790546803, + 18045912752018573528, + 17479199222191054136 + ] + }, + { + "elements": [ + 7783322436425737170, + 8277621754040098868, + 17063625482736903637, + 1563809903583429289 + ] + }, + { + "elements": [ + 16204291592483443821, + 12377170934096029735, + 15823660448341310398, + 13841395656369625972 + ] + }, + { + "elements": [ + 8084650440639270831, + 17812764946406879018, + 14182571089479670914, + 9373185703614249087 + ] + }, + { + "elements": [ + 13185611219578770314, + 8413245576061144620, + 8907045449698898465, + 14782013500418599824 + ] + }, + { + "elements": [ + 814149899079636801, + 6281320639318403904, + 7407668800019160705, + 10520480580153052613 + ] + } + ] + } + ], + [ + [ + 980551093655060995, + 5742042046837286159, + 3080733823123588187, + 719154701160810547, + 11939707435672222354, + 13341226959597517812, + 1658033913756524723, + 9035003445941639475, + 15952717597915175372, + 4090339296381247464, + 14236258309534748180, + 2054791791556903344, + 7149847486829029083, + 9747414279039340206, + 17866314591491476689, + 11262392806020032089, + 2292267204463245378, + 1673642038180169330, + 1528374747803916135, + 6232360511111332544 + ], + { + "siblings": [ + { + "elements": [ + 9364009850914447709, + 6830138713777980020, + 12929864891106131539, + 11455717193005642325 + ] + }, + { + "elements": [ + 338140900871884679, + 14395338577600104260, + 553630156224372240, + 9370901131529172706 + ] + }, + { + "elements": [ + 11183939063979550573, + 5919776065607449474, + 7009193576667649, + 3304574942703952285 + ] + }, + { + "elements": [ + 5046625161816190181, + 16798553366561619486, + 4438713264080460763, + 9369220059322306022 + ] + }, + { + "elements": [ + 15040317156005089068, + 13634799742206773132, + 5696295031263368313, + 1653377355472055267 + ] + }, + { + "elements": [ + 14022222022566095470, + 12311356011930098256, + 2879318966372847331, + 15492600771112013468 + ] + }, + { + "elements": [ + 1750498698910527623, + 4778363317847575910, + 15649041927756138217, + 14833808830444203649 + ] + }, + { + "elements": [ + 18416405073109851894, + 6101125398861261161, + 7120919534607709966, + 15298588849395509821 + ] + }, + { + "elements": [ + 13987244799300858820, + 9307682575060446879, + 18024801460054486895, + 11710280756014874602 + ] + }, + { + "elements": [ + 11529634049978854621, + 16645974577443835771, + 1931411383057160493, + 16513800680900554813 + ] + }, + { + "elements": [ + 9134646924203925210, + 8140475086512212934, + 6216070045340647075, + 7751628409150761968 + ] + }, + { + "elements": [ + 13936411032936371831, + 5374740943574219756, + 8338149713639139481, + 8415778093486212405 + ] + } + ] + } + ], + [ + [ + 12391260184519902278, + 10607673038817945568, + 1986219632897866114, + 10692369204415764402, + 11253397490197711716, + 63280107094691459, + 13441144554542498994, + 1642781931946251564, + 9915924576375684118, + 12320566596983957336, + 6394435476619246596, + 17246779314565762329, + 14378587978806078794, + 2828947879648984245, + 8739517034460448168, + 3598219276858130051 + ], + { + "siblings": [ + { + "elements": [ + 11498536420594349073, + 9258029701730966830, + 5464855770528008268, + 8058168659081283895 + ] + }, + { + "elements": [ + 5952687390245121704, + 14527008066965066838, + 8430722763786806976, + 2890736350868439167 + ] + }, + { + "elements": [ + 11856156339800011508, + 17523437610678383325, + 7995410584825972341, + 14935226624222266648 + ] + }, + { + "elements": [ + 10788077986960741431, + 11662558070840014846, + 606783279239075461, + 4443788184712143381 + ] + }, + { + "elements": [ + 11320516945494833598, + 10631341394731442477, + 9818196234607764131, + 6928821075930347988 + ] + }, + { + "elements": [ + 4382516941519684216, + 13841415527928708349, + 10466625959429193196, + 8522240695619854860 + ] + }, + { + "elements": [ + 453745145820152111, + 80980424849522300, + 2550561801266939792, + 18128401974990662348 + ] + }, + { + "elements": [ + 13634580311737654001, + 6120314772057242826, + 11814861504737997820, + 12238779091991622555 + ] + }, + { + "elements": [ + 1116085605453526440, + 160108209984021898, + 6680179296690985953, + 11580901987303928601 + ] + }, + { + "elements": [ + 13914270255671250738, + 16047493087415794702, + 9447233898607781770, + 13837779096719533818 + ] + }, + { + "elements": [ + 16801549035643903307, + 1231630340624136005, + 4872992218088680641, + 18341456526139221791 + ] + }, + { + "elements": [ + 16959347753437617498, + 13425721782500152819, + 4180255404442281841, + 17052073313773524706 + ] + } + ] + } + ] + ] + }, + "steps": [ + { + "evals": [ + [ + 1439275278978889794, + 9059854498360606047 + ], + [ + 4593447893037936458, + 4457953015878054273 + ], + [ + 12772843372189259948, + 1114101786964050048 + ], + [ + 9994213571068177793, + 15357758019666317430 + ], + [ + 6608936364925481093, + 5387962420830468315 + ], + [ + 18112025464571333493, + 1952314182451308045 + ], + [ + 5098985346577364810, + 6932542606497003409 + ], + [ + 10746031628964986749, + 8643594778098837154 + ], + [ + 4044372078601113235, + 5371551698986442593 + ], + [ + 3502838668265718342, + 10286308323655873092 + ], + [ + 4304033435659217167, + 12955579137940611891 + ], + [ + 881365504387999399, + 12574417870247888405 + ], + [ + 2191274631151021919, + 13054035443225168458 + ], + [ + 15233566761132037632, + 16905703281921736088 + ], + [ + 10349808939735573334, + 10981215262701542781 + ], + [ + 7533048669138823541, + 3462067742947074016 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 13727663763883354854, + 8827711349806282214, + 14730024902419634411, + 862058906973231066 + ] + }, + { + "elements": [ + 5350040624488034452, + 732986948643920481, + 2918701482908962219, + 14728298257991969622 + ] + }, + { + "elements": [ + 8892354647987358021, + 6473216033987812852, + 6090304042373065108, + 11658460697446674178 + ] + }, + { + "elements": [ + 427400312102794703, + 5556623833882526641, + 926215795913139213, + 12360991811802351832 + ] + }, + { + "elements": [ + 6317199153480296154, + 7832324151116925376, + 3073137635288005242, + 11147904743227045311 + ] + }, + { + "elements": [ + 18372225808379430897, + 15358094504790288581, + 18394524221088027313, + 16714253470797753057 + ] + }, + { + "elements": [ + 17403304855133772794, + 1661125220027682054, + 17184962132887247132, + 9913284613356060080 + ] + }, + { + "elements": [ + 1342896034121954898, + 857930179859814152, + 12036073202665501220, + 17282479353508087491 + ] + } + ] + } + }, + { + "evals": [ + [ + 4376891020291374969, + 11863017939913800364 + ], + [ + 6230717219944366410, + 18392286040951603202 + ], + [ + 2936928453923924707, + 4211771678617924936 + ], + [ + 1656081585050352781, + 7636290477737287466 + ], + [ + 17813508361046941157, + 15245527877128815861 + ], + [ + 14213141120305134505, + 2285651921407426668 + ], + [ + 12615279785015814920, + 15931611668601457747 + ], + [ + 9885760521391510196, + 14385664963919068070 + ], + [ + 4365673368442380568, + 3460327502044050599 + ], + [ + 6229080356887349200, + 3298424507180967020 + ], + [ + 12084982325423608131, + 9285977281223828868 + ], + [ + 16180207492147403633, + 7963870238606305349 + ], + [ + 7570789435779303547, + 17502452088121149703 + ], + [ + 16719763885562111273, + 11527486228777361233 + ], + [ + 2280296937661598930, + 12101900955342715411 + ], + [ + 77260601227535350, + 17906101660562180551 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 8016240224489499483, + 18433877855178185737, + 13750378623241055575, + 17352221259458806196 + ] + }, + { + "elements": [ + 1238953026015936826, + 2406800273514551067, + 4619495028988438728, + 10669821644137022825 + ] + }, + { + "elements": [ + 5232004112677225321, + 5365287106367329924, + 4885221204495353767, + 17438800031968118264 + ] + }, + { + "elements": [ + 16464691232310101290, + 2104387012464841002, + 14717798310872926262, + 2148738625462460768 + ] + } + ] + } + } + ] + }, + { + "initial_trees_proof": { + "evals_proofs": [ + [ + [ + 16775859823743944625, + 4975460191150511672, + 1656626718057223266, + 380953745079919941, + 13906006430339711051, + 13793243778280423866, + 7291845269756707482, + 16770219948587909594, + 15420508280392894569, + 4583034155962134630, + 3573960481399617781, + 1186663878629592157, + 11988616131975955801, + 6387855932425629268, + 4851708785467960560, + 4743596763974525002, + 4594457665972788274, + 12701570507062730703, + 17022517559652452456, + 12702691535023281380, + 10159118777955820109, + 10593414916971140824, + 1933191149146278414, + 6842147817163393507, + 13584001363799892952, + 13928147181267169512, + 17344628692245582093, + 1520974125398979216, + 1013664896893596355, + 5598252342256926615, + 18084260536191686502, + 172316104809462565, + 11661468404414089239, + 13864571365345634700, + 8945977413154843791, + 1311140730249740050, + 4985526173265821135, + 16511869089316479757, + 3974198800585532042, + 10076355842687365011, + 10710158860850901786, + 17123289074033738330, + 6921866656737463778, + 2563107053337525518, + 13615960022218840173, + 5121665765603457703, + 6826854752856308039, + 16680612074088139, + 10471152844343147562, + 1550880274108848724, + 3114328787523493125, + 4993478541276971835, + 2246980209409392059, + 4874308710924055024, + 7873474600096367714, + 14634681999768681520, + 15011469724232469591, + 3040933419557584312, + 13266634377692356255, + 7477908178664259102, + 1364713570671759528, + 5648848328964617475, + 18283970903169841431, + 3256449945931952223, + 15237969480125688187, + 4395719651111718572, + 16455400274513499619, + 14162442895443257562, + 16504776568191139163, + 9381341356215631782, + 1801206296196323197, + 18238461013617476138, + 5855126666169804578, + 8496650037306820980, + 11823809382392024083, + 1100647137095464717, + 12161046900456718843, + 7015922845165714088, + 5010870576791088184, + 10459568610630889499, + 17896834062108864558, + 1420233728177396355, + 17332283636140193259, + 15125803464416406156, + 7749336972815618977 + ], + { + "siblings": [ + { + "elements": [ + 16225724306349472986, + 1931122843085573335, + 265583168595149817, + 7033684301252355163 + ] + }, + { + "elements": [ + 14104021862614795492, + 1695978294852772849, + 664312271574258833, + 7457639518768529481 + ] + }, + { + "elements": [ + 17792127600817235223, + 3133596383205355772, + 1537887000257520432, + 14561980217060005105 + ] + }, + { + "elements": [ + 923419752990704554, + 6502094088135916934, + 16949369454449610502, + 10492128329681768404 + ] + }, + { + "elements": [ + 9178542755936868336, + 17086238861333506053, + 11188829967369755139, + 8274683366144523798 + ] + }, + { + "elements": [ + 14527978911430861514, + 10261156828041782493, + 5718148058785864587, + 10977391755422971543 + ] + }, + { + "elements": [ + 8183700537799669340, + 2643515413539545454, + 16766708662530505497, + 1117776350737231945 + ] + }, + { + "elements": [ + 12427970397148515953, + 2814521471209666376, + 10148537179513330966, + 6422426192586549226 + ] + }, + { + "elements": [ + 7735754837903162843, + 11081390823453752981, + 2324623112761613587, + 18393583282113423877 + ] + }, + { + "elements": [ + 5758661546218819444, + 1141607411059903617, + 10154622307990662777, + 8470682729344649362 + ] + }, + { + "elements": [ + 11463262975999432744, + 7686149320119163265, + 549832247969853620, + 2002915145491895886 + ] + }, + { + "elements": [ + 16984775529874453139, + 7227995275344896720, + 2937570043204679799, + 119584300188725330 + ] + } + ] + } + ], + [ + [ + 9310375357117382138, + 10528134372339323967, + 2408098448545206780, + 4914425988169512766, + 15783651027092762860, + 15952103699702353928, + 17842819181029314671, + 14454428875715901390, + 5467870355318662631, + 16458497889096988496, + 14679724519439177760, + 794784839670324509, + 12535036346060429382, + 13913019839201366244, + 14637424601834492725, + 4814162673456086314, + 13549371558948534841, + 2850383857066409616, + 4852764173062799058, + 16431422616018973838, + 5436303624146682614, + 14638381526630921645, + 3546835981818844186, + 7359695371874574439, + 17169400900446361967, + 16856022413255541374, + 10756155807647241122, + 20969961362588131, + 7007625684344933743, + 18178823250757030209, + 17205862513030027258, + 8130489018189115711, + 4920806213636463276, + 11156666907124663901, + 17322627280111014165, + 5578775418521401971, + 6019293426548806922, + 14916833717105353073, + 9171471118122527830, + 15925770642951555425, + 83750308383673386, + 848477980741844748, + 14414743578029540879, + 1405645875919240398, + 7435079417433818696, + 1111587671186844900, + 6530001689781658667, + 724115878468457232, + 1689327533571212575, + 8255970575656004639, + 16338979337293475067, + 6717602219378452521, + 14891957177323169445, + 1208570115213944123, + 9370434116341524164, + 6168706023968308620, + 17052340106017801720, + 3052636892699546650, + 1064551430346905852, + 1625415465541226089, + 7064268461053107557, + 15757927136337963758, + 16072811935691592388, + 5488612791003988015, + 7147743776698734561, + 12875474043396111600, + 7417324546120808951, + 15377448432270554213, + 13267033733311799935, + 18246306099515057936, + 9711536039352372468, + 15215992921290437694, + 4505468275577015910, + 12291634470414998887, + 1467294545078208027, + 2944089041566320949, + 8764464449403263596, + 13715200177317500574, + 15777080212022135429, + 3285564320850408485, + 18289693021337809439, + 2514848640023639534, + 10008738004996626070, + 17685748361909555525, + 12663286535428036459, + 12718943252854312300, + 7181920813463659278, + 760266530517390141, + 4275310264419143837, + 3681376940428179797, + 14234273116567011507, + 6615461228862668976, + 17029860472742520686, + 12905146941907842843, + 138203639327648443, + 16812965771033791911, + 4292750684414994379, + 1823677846853772765, + 17718545333633563464, + 15468327886305419416, + 6240868225625922456, + 12795890664035515814, + 1126416171329455821, + 9959350478352290509, + 9596737270357253168, + 13099471270796660629, + 9310681107815944694, + 12811623785295036931, + 11545699667998947652, + 2143574946627792321, + 8031430302962697421, + 12172809395444151411, + 13210326583923842828, + 11568289860721010658, + 7096618205393114576, + 1514400660436588875, + 4062822444228107252, + 15716370965320932543, + 8408221326127660039, + 17724823123104521557, + 17869308610059807334, + 16668536358314419528, + 5107750343969944960, + 9444894739166949838, + 9675346373472175578, + 1226120347546693145, + 1190668365879075931, + 10454239267382277717, + 1539218997042153818, + 14040575695518159552, + 4078883740900847954, + 14736958499625330392, + 9299327460851021923, + 15907869525054304636, + 9265539377929406823, + 3414299310067967992 + ], + { + "siblings": [ + { + "elements": [ + 14539368523584902789, + 10336033969142642062, + 11882055031986674584, + 798194448276058006 + ] + }, + { + "elements": [ + 924366812290217325, + 7842211181786298819, + 2233633788333954028, + 15212109304317907599 + ] + }, + { + "elements": [ + 16988616499110297395, + 16443473530159761420, + 8337448944825635042, + 16846807481650905757 + ] + }, + { + "elements": [ + 16320232838198162523, + 6860831254583648435, + 10490498726115349278, + 11841918033243085823 + ] + }, + { + "elements": [ + 10287415531103271752, + 10989268527975063724, + 2001293373439798673, + 2439370048446482414 + ] + }, + { + "elements": [ + 14859794626772617290, + 12416168430727238778, + 16880384291656004867, + 82684668016907909 + ] + }, + { + "elements": [ + 2484200883389375775, + 2894179324115461424, + 791387400565271758, + 13033628042855610187 + ] + }, + { + "elements": [ + 18164285331605105266, + 17859800279431000922, + 14418993919341562964, + 394994275683427244 + ] + }, + { + "elements": [ + 104464328682226527, + 1480089667129929139, + 13591813599246287936, + 12003374493786437708 + ] + }, + { + "elements": [ + 10185179289180080557, + 14568947539970160628, + 12903617699931459115, + 13127674984888100889 + ] + }, + { + "elements": [ + 14191917909432670361, + 7838386285991998564, + 17913963630723333631, + 7575391780105675067 + ] + }, + { + "elements": [ + 17730703804114631783, + 9437900408694726603, + 18284460649684306486, + 6207662668225852479 + ] + } + ] + } + ], + [ + [ + 17247404286321480170, + 13138529681164344761, + 2187492155562732150, + 1159546600421874317, + 8000117992241809721, + 11344335651398745325, + 12400770999900533740, + 13052187279623077278, + 15823707571497060543, + 11195945888670548160, + 4307020142643257151, + 11297820910002577892, + 9589161390579394728, + 2435484530287379170, + 7507542848813534645, + 14477862420679738171, + 4950995531769340237, + 14870819832380115021, + 3572055004313783277, + 7769274733936623210 + ], + { + "siblings": [ + { + "elements": [ + 7178233367384985931, + 11573281403489138582, + 597662486752537581, + 4056383507354396426 + ] + }, + { + "elements": [ + 1430165226219630948, + 8650611618629276, + 9528690102848357041, + 6510832549867277015 + ] + }, + { + "elements": [ + 233484130888081020, + 7715424629698776702, + 9272566381767296354, + 6277628526904654439 + ] + }, + { + "elements": [ + 10189245205691393732, + 11953270292406227135, + 11336850844487313975, + 13555455541369710229 + ] + }, + { + "elements": [ + 213723438872391901, + 352169372497362891, + 2871485520189125907, + 12074801349885471784 + ] + }, + { + "elements": [ + 7084184772281108239, + 2416212608223909070, + 16065064095298729212, + 8534164561103474119 + ] + }, + { + "elements": [ + 9202314484521583669, + 2010393242977599280, + 2484744955611887414, + 5483380652070514320 + ] + }, + { + "elements": [ + 8096981533774269599, + 17271158375649586107, + 14661088341948356204, + 3238844967440602978 + ] + }, + { + "elements": [ + 6343988303435527840, + 5097694173435485550, + 15448817004613847559, + 10512042985227892454 + ] + }, + { + "elements": [ + 11286292515330605382, + 9262493225821405584, + 10324483641340384694, + 12349662543692187406 + ] + }, + { + "elements": [ + 8169835629974555301, + 6346636627795074271, + 9462466605092589590, + 13400559865727257384 + ] + }, + { + "elements": [ + 1137865620982006110, + 3635387057218494750, + 5622054209009314147, + 15109519161175448191 + ] + } + ] + } + ], + [ + [ + 8538926020490557538, + 5630982356885939441, + 11758085860183239680, + 17386393985019207456, + 8741961244683268518, + 12526215983154441294, + 5841991118824489238, + 12331623673790954013, + 14241434165489560999, + 7853237410500709238, + 8447349562776850327, + 10827168566772807484, + 4621010728753353922, + 2182333302725582672, + 15072546276228600167, + 6788273120162429003 + ], + { + "siblings": [ + { + "elements": [ + 1088216524820530013, + 2972847649516291763, + 8445502623604999429, + 15630476309076306607 + ] + }, + { + "elements": [ + 9037195722699296278, + 10954594310103492291, + 9413981677817406631, + 12555465716650033834 + ] + }, + { + "elements": [ + 1735536171063275009, + 3559043828672484775, + 2915390726810497026, + 12322431742542610999 + ] + }, + { + "elements": [ + 5394674074506224852, + 9019039170011120141, + 1393468068073607555, + 8417534573093585250 + ] + }, + { + "elements": [ + 4344448894664198583, + 4669713702597723205, + 11234425497407274413, + 5692217921792349435 + ] + }, + { + "elements": [ + 11951267469714780324, + 4569814575375031393, + 2069538350896479688, + 9922959994731825936 + ] + }, + { + "elements": [ + 14381681138344738513, + 4155871145497141264, + 2473225202571611688, + 6198091897076455243 + ] + }, + { + "elements": [ + 12109861391439423329, + 16777621964126391733, + 8058199098574163791, + 13859999358036068297 + ] + }, + { + "elements": [ + 4262517058371756990, + 8992195058088092291, + 8492504572315213930, + 11126248877716367667 + ] + }, + { + "elements": [ + 7342198577474247469, + 12215735726229268426, + 11393293288665929192, + 5581582823858431469 + ] + }, + { + "elements": [ + 15833339184436553306, + 16425433157453346258, + 13749167166718632951, + 6483227126477073407 + ] + }, + { + "elements": [ + 11708738503977315443, + 13839322727971165272, + 2885177082950819129, + 14358300627430289660 + ] + } + ] + } + ] + ] + }, + "steps": [ + { + "evals": [ + [ + 1076729522266330378, + 5273574938215821183 + ], + [ + 4943344785387907927, + 7197594615941389280 + ], + [ + 14101356154179420310, + 6692584345597821009 + ], + [ + 17004606504989596232, + 8833661695879559999 + ], + [ + 9221297505312863151, + 10737183344134949384 + ], + [ + 15950689529559186983, + 12550501856427696511 + ], + [ + 15548815430064241694, + 9151949072085952687 + ], + [ + 8221220967873077381, + 11167573970602367344 + ], + [ + 1215759868792075758, + 11248755915840648715 + ], + [ + 161658112759441770, + 15608934647533916878 + ], + [ + 10282333974872604007, + 1994718103027797207 + ], + [ + 12794918824463702513, + 10744356595492113512 + ], + [ + 16881957493040671827, + 5785143900551434712 + ], + [ + 13314164622769404723, + 3753982935656077816 + ], + [ + 17519024711695396144, + 4923704115039921469 + ], + [ + 3655456966020775329, + 8007708975064016013 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 18071436445109484003, + 3215729945603607937, + 8636593497557653927, + 9347749235003666903 + ] + }, + { + "elements": [ + 16500731942247309635, + 11528348349686413839, + 15087769340236869988, + 6245728924763801714 + ] + }, + { + "elements": [ + 9892225410836112373, + 13054006649690451991, + 1294819324874274974, + 5906749783999778892 + ] + }, + { + "elements": [ + 16222715268554309940, + 1122110065263371728, + 2421823785492675986, + 14918397115872759866 + ] + }, + { + "elements": [ + 18004305382896637281, + 2413621471510881102, + 17825831167857888671, + 10866619879243879611 + ] + }, + { + "elements": [ + 4102374328061627005, + 5929760131829911102, + 6691370634501840112, + 6821555426552530214 + ] + }, + { + "elements": [ + 14839851879908304548, + 763262292280006781, + 2258189096661772480, + 14693703474521676470 + ] + }, + { + "elements": [ + 11387417012080233645, + 7499060233468710689, + 13625630668896037088, + 1147318432118969062 + ] + } + ] + } + }, + { + "evals": [ + [ + 1093587008635254219, + 11147685795167288181 + ], + [ + 6853670567593370892, + 164985888010296655 + ], + [ + 5581258871937879335, + 10103211528239548381 + ], + [ + 15781815402540226950, + 9209751728493471087 + ], + [ + 719326305749140293, + 10990632314335659596 + ], + [ + 1782748014683877858, + 9844112528147178100 + ], + [ + 7589410197766017105, + 17823243023650300658 + ], + [ + 8543725283499833677, + 750646915315043629 + ], + [ + 15917172219950958691, + 12087409215550274063 + ], + [ + 4774937141590737791, + 638369666485023155 + ], + [ + 16878468569189194102, + 13247789095446113323 + ], + [ + 15256771988816711057, + 16039713169489983909 + ], + [ + 10940122395985675472, + 2309247365269505140 + ], + [ + 11474807055207430529, + 7401407159296066605 + ], + [ + 18087270967667933900, + 10872878216944449082 + ], + [ + 9165878427633543995, + 18066534126012772403 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 12699480259215007811, + 2213629261155643876, + 3253641173240472200, + 2234751106712809179 + ] + }, + { + "elements": [ + 6863870388221575126, + 9838438253725671967, + 14244730187720282375, + 4776355021376331744 + ] + }, + { + "elements": [ + 8704041679506198796, + 15203466663627167756, + 9243765880962589418, + 16497662447083167092 + ] + }, + { + "elements": [ + 18137264657449942163, + 7059025064640556583, + 13045763564091365202, + 3841550041369453510 + ] + } + ] + } + } + ] + }, + { + "initial_trees_proof": { + "evals_proofs": [ + [ + [ + 11383044884598953713, + 17761163043138560222, + 15209100774490100736, + 735422940770002927, + 12859392241637630916, + 15797189459144314873, + 16454457574581862667, + 5681536359217831523, + 11811212002221800477, + 8181353323020378203, + 5323820125489502201, + 9055070351149599996, + 2886821177308972953, + 8906676066373547382, + 441518656757845684, + 18082504264323524976, + 3286324361245540635, + 4555018469969604110, + 6010620142995906136, + 16432885495154935767, + 16328474946701433297, + 13127944656253151980, + 15996240918015967765, + 17870972858678746083, + 6868622996441572582, + 17158136493336985926, + 2743157291068666795, + 3743447155546286804, + 18029451240541538586, + 17448273465903155527, + 15173085109045954321, + 13863353325964607721, + 9409218806813004504, + 15415945452499158522, + 11527143794652431930, + 12984221700731624452, + 11528076534077872043, + 3822837433560928854, + 13663069158584061323, + 13465233579864429481, + 8472144887865890077, + 8624482423579257784, + 17034770692288218385, + 15631737658399973957, + 17440035129781299166, + 4490117130793343298, + 242257221835022489, + 10850937433867894100, + 16630742980624625502, + 1883493320864534576, + 17921227426580674199, + 18272564038639120569, + 913576605910791803, + 13507116558132148007, + 14115216054694224264, + 18317676383523206498, + 4899957684796907192, + 7464151166158088691, + 3061850549977832828, + 16749869789435208739, + 13404876142019924161, + 10470721158833056062, + 1953281752146162505, + 10366203758200218484, + 16685867826331304056, + 13541737276170144413, + 11089884675460945065, + 8737582405794546706, + 11419644287037091189, + 15749597326601159339, + 17805760345590835198, + 12817883436402880330, + 17306163123500506902, + 11283648109460817985, + 4570530396666023871, + 6455500226490387021, + 7009345486089816317, + 6051794468477914656, + 10808290967489197209, + 10666464879200464015, + 5774197537342735559, + 8418910452717821484, + 610576658503903301, + 13362668597479823611, + 13100425586037017300 + ], + { + "siblings": [ + { + "elements": [ + 10056962377260914655, + 15557459500478656392, + 10757094165540866905, + 16188160212763666303 + ] + }, + { + "elements": [ + 5100022000512144388, + 6120578161650135650, + 1386082695353262874, + 8144694157629038913 + ] + }, + { + "elements": [ + 8341705752770546352, + 10362532193397663776, + 5258815309075691992, + 5608287226391061922 + ] + }, + { + "elements": [ + 16361704874199107600, + 15065995695990024221, + 16328103841318238085, + 687352470069774544 + ] + }, + { + "elements": [ + 12264125443574013148, + 3636465703354647136, + 3622018750257073568, + 10425010504274430788 + ] + }, + { + "elements": [ + 2531013337941885213, + 14583482211969660438, + 12647810730442572046, + 12958402976453761689 + ] + }, + { + "elements": [ + 17682048335430081618, + 3920391980833267357, + 5233696832849620613, + 3771740128394332801 + ] + }, + { + "elements": [ + 6977115805942986095, + 18417671951500519934, + 9313395385860350831, + 11488977122446445064 + ] + }, + { + "elements": [ + 12716861476818620062, + 5241152803597889765, + 5224850389433067365, + 9851305516963240202 + ] + }, + { + "elements": [ + 4000221223027291029, + 8466420547923834403, + 5673044373189220543, + 3451220991022640222 + ] + }, + { + "elements": [ + 17260757503499190072, + 13697420268639363830, + 1942830404297709660, + 8160159911903208137 + ] + }, + { + "elements": [ + 16411268150170804364, + 465374203745943276, + 15477225318676030249, + 8296891782665616910 + ] + } + ] + } + ], + [ + [ + 14113405711141126738, + 17184584969027101363, + 17721605088216116958, + 15790958736519847699, + 15995606501205510641, + 8670797817916853895, + 2860385765022494574, + 16133145777058965935, + 7943000895596601302, + 6771722085040374501, + 12751140854501100629, + 8540475503047632374, + 9896624825931017123, + 8973689806953551054, + 4593568653995078131, + 4797132243728395303, + 9066185453748043912, + 15593097511613471468, + 9204505833580831490, + 2030164543044195162, + 10449283282450916425, + 5467325181304299015, + 10806602534977663278, + 5136478041478944449, + 14160128524057486417, + 4617811646035800362, + 8803245398242554060, + 17161734817988449315, + 16103404810684534202, + 13961584097921128592, + 16818096911882015446, + 8131500151028153407, + 13428356032369627468, + 9707357077319141341, + 5694916049955358213, + 15744291671167199150, + 13570186065791617212, + 7606411845129324402, + 8910151593462781932, + 6726743441939749420, + 12193566670992089661, + 13394992458908959637, + 9289925172884392431, + 7752953158919205418, + 14101490809364699904, + 18316571610924938903, + 5295557759103742210, + 17774678774331019920, + 9397998965067346456, + 17356422745594011632, + 7083831978655759867, + 1298716231901556209, + 9868045257012381510, + 16125050089940699788, + 6310369556626780974, + 5435748422959520271, + 8578203983503020667, + 2995865075673554023, + 12850328381727354374, + 3446443453322112738, + 1397066838221098778, + 15340424501933070174, + 16730470114981446028, + 1197420105257542725, + 11082527133761018338, + 8479454436377032116, + 10053414884865452154, + 6707409615024717485, + 1031022111372832532, + 12783459247150926920, + 5046344070895000634, + 1073090127031912100, + 1459147224902825769, + 17067303651244954687, + 8257860148282719342, + 281390833969181858, + 14499618203616522569, + 8119450451515949849, + 17188620287730590421, + 7324520922351671434, + 5848811310529134015, + 7466041882807140165, + 8847423134100147546, + 2265319727429888544, + 17291431226453246629, + 16434056995838114469, + 13063094372064023549, + 14160584767922593621, + 14650913172747172766, + 6816362763994146507, + 10468498452139405527, + 12499596715265359188, + 3281921261697981854, + 7741941159308727424, + 4781017834698575925, + 3183538695262139556, + 6547872963658935474, + 7197717303003302651, + 18131148737084296381, + 11899016175516916449, + 11531001534588802864, + 3864576013038202091, + 9694988291069645645, + 17668386101102417579, + 7673679942557185381, + 9053853789196553568, + 4353309629250943061, + 15600709131459243977, + 8373722229992418672, + 18394639875257272288, + 13300475877220333047, + 652358062877750305, + 6431741170231584982, + 2142304491809314135, + 7340318373507875554, + 16030069953603209493, + 10355565877784257722, + 5676502705532519785, + 4454740096505950452, + 7704141270966596999, + 10035849963451839635, + 9361286435892251449, + 11502375605484885243, + 13030011165653545810, + 14043369175046473540, + 7599724825901203794, + 2330265363574122232, + 8436903556407578209, + 16087262307900023242, + 4054766695148896630, + 2188231256497613081, + 13700993041944096176, + 14270736731746547601, + 14289200680638656537, + 11551950977945636883, + 13515701816798663729 + ], + { + "siblings": [ + { + "elements": [ + 10237740075987745684, + 18170870048656084485, + 7238628736560565298, + 10726325110107427558 + ] + }, + { + "elements": [ + 7575722623065527651, + 5279376933694373846, + 13078020807438606864, + 13808987648814382083 + ] + }, + { + "elements": [ + 15285395198673261927, + 5750420695674338845, + 3237084440915680412, + 17078503049004805087 + ] + }, + { + "elements": [ + 11191194820479304829, + 3061645779261546964, + 8155790433814920865, + 9690405095654504295 + ] + }, + { + "elements": [ + 17150997869943141583, + 18060096972721618759, + 550029452519182441, + 16639521028450138608 + ] + }, + { + "elements": [ + 5307646380569432783, + 3938888947015336224, + 5791095026086360533, + 7370588724340911834 + ] + }, + { + "elements": [ + 9705664194024496474, + 17134927819600077062, + 16631280477760848842, + 12755259411362913023 + ] + }, + { + "elements": [ + 14087035832704143610, + 17580429792104660954, + 15930478571020504956, + 15752129358974200038 + ] + }, + { + "elements": [ + 4391042599863769582, + 2859127408872865371, + 5177350946931885684, + 12546184534783969600 + ] + }, + { + "elements": [ + 10803269856732656320, + 1477176235839789561, + 9679860076536350675, + 4817770131046914609 + ] + }, + { + "elements": [ + 14204764406256786628, + 12322240666606784446, + 12066828086035759683, + 14690995315508433943 + ] + }, + { + "elements": [ + 9879998224737514164, + 7668404804232211958, + 2243113146450842623, + 5904616399049752156 + ] + } + ] + } + ], + [ + [ + 10851702803270238639, + 3135921822976005876, + 4938072392875866361, + 3842263086301559902, + 17065955497845777498, + 15699817167784543812, + 9974891884136936833, + 14239088964813480499, + 8049263734812045720, + 10477681207749607325, + 2764718464612827327, + 16649202094102695894, + 13122952725626198039, + 12652568018332301727, + 16027269993864552425, + 10474097342942027394, + 266802671700955055, + 13604856206489704563, + 3928376758746757945, + 5753132064674153541 + ], + { + "siblings": [ + { + "elements": [ + 529878928345342340, + 15695993812021904344, + 14984659529850993180, + 6030930975338436506 + ] + }, + { + "elements": [ + 16939735845456792456, + 4149809983911664353, + 8069584334780241697, + 17496458327962685532 + ] + }, + { + "elements": [ + 12990475609326890452, + 2416243235724199369, + 7392302008506762393, + 15766874437410870011 + ] + }, + { + "elements": [ + 428068781366553820, + 4223633863360338935, + 9618580861177357561, + 1112954549344463566 + ] + }, + { + "elements": [ + 7643747750069641595, + 582920583680893980, + 18203075435711695206, + 4190005824735314845 + ] + }, + { + "elements": [ + 4031956228035563442, + 6643583153180909875, + 18260398795454998899, + 2514077597636936200 + ] + }, + { + "elements": [ + 8212789557226108587, + 15581803088543897366, + 8683830891343607757, + 679996211076901105 + ] + }, + { + "elements": [ + 13090322423610913782, + 12053777054255891770, + 16073934210788597011, + 14764116837726828602 + ] + }, + { + "elements": [ + 3524176094754408969, + 3397562346600289860, + 17904819742904683967, + 10185067932661123938 + ] + }, + { + "elements": [ + 14941840352341556733, + 16800382083815254913, + 13952381690315833592, + 4653583409994360203 + ] + }, + { + "elements": [ + 17883275938168052721, + 17931933529560931815, + 18029180209146285533, + 766753975789786999 + ] + }, + { + "elements": [ + 12687010507300293127, + 14645432257830531867, + 15904364890812116471, + 5165963491598814362 + ] + } + ] + } + ], + [ + [ + 993952699799020897, + 12396582695597348714, + 9840982817314844831, + 11051434912528422738, + 6257243621867037985, + 12235422334759741071, + 11762839408883426794, + 9418236129834917367, + 10179526167433811801, + 18004364722788338944, + 13511810671841837116, + 7589996935596101218, + 8059258892486969262, + 12871866339772913410, + 10341802209466572059, + 4546473245160985694 + ], + { + "siblings": [ + { + "elements": [ + 4012503954064111451, + 2523389269201126750, + 3076654426637145305, + 18187968792496235620 + ] + }, + { + "elements": [ + 15847870935225409581, + 380425906154533304, + 16872607341805113111, + 17220868048664990199 + ] + }, + { + "elements": [ + 734304479840181639, + 12575974040532886633, + 6354819954288633506, + 2106914159855982797 + ] + }, + { + "elements": [ + 7056648009135209010, + 9459026110821446776, + 9952035568014202924, + 3142973343229188413 + ] + }, + { + "elements": [ + 16564692873200817082, + 8041648620501498782, + 2518392182269907554, + 9559666393462134223 + ] + }, + { + "elements": [ + 3419927254800303725, + 13401510140887673041, + 13428161356520240902, + 17315294892556638228 + ] + }, + { + "elements": [ + 16340584690572953858, + 7353971510979942955, + 4072575444765386992, + 4667595872261529439 + ] + }, + { + "elements": [ + 1114724474641388152, + 4276959450919856420, + 14627612979869895147, + 4337106548373539063 + ] + }, + { + "elements": [ + 12422430303987563680, + 1886036372731610519, + 7283456546124041861, + 14963882628271688214 + ] + }, + { + "elements": [ + 4140098332118582129, + 13436021335212311150, + 11599759806535933920, + 5090074778089789662 + ] + }, + { + "elements": [ + 4827959578370918754, + 7101946274911170262, + 17581182228865549935, + 2089601367371048041 + ] + }, + { + "elements": [ + 8135912855479140799, + 3725781101075853411, + 16782508941701667368, + 5174466266259941329 + ] + } + ] + } + ] + ] + }, + "steps": [ + { + "evals": [ + [ + 16210019789087968739, + 2274469144538985963 + ], + [ + 5573032019639232172, + 16675172487476280597 + ], + [ + 5399373997220969140, + 9619133808319142740 + ], + [ + 13754335807027736534, + 7508403054237628997 + ], + [ + 3478543807990468932, + 17455620150543939675 + ], + [ + 8019082939319064016, + 8007036693820153970 + ], + [ + 15566365159413250255, + 6691263805487234828 + ], + [ + 6990544768922005520, + 2845364755767723847 + ], + [ + 737607188691482838, + 16976604031122913958 + ], + [ + 5488393636924716093, + 1956755341064609784 + ], + [ + 15309972513186665043, + 9235830685955325779 + ], + [ + 8939897962487337139, + 11024068460518016290 + ], + [ + 13087390131593139246, + 12321651258103609672 + ], + [ + 16315515770692967018, + 12561544098375011244 + ], + [ + 17493405301297717109, + 2494170511607091110 + ], + [ + 2102052119945737504, + 10394455439093753407 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 18110539214006597493, + 5962158814841428166, + 6112507551139699562, + 5728940987035371351 + ] + }, + { + "elements": [ + 6360462790303028925, + 18053517011748752163, + 3547355289699693098, + 4605687477975846938 + ] + }, + { + "elements": [ + 16452997910726718996, + 9983206823640982717, + 13811563437487645367, + 9776922414152803639 + ] + }, + { + "elements": [ + 12969811681147180091, + 15897974709915347580, + 9972582460130753847, + 17019062655774867510 + ] + }, + { + "elements": [ + 18356022101389305755, + 4809579512506225238, + 9683969172550789606, + 4265676296017236700 + ] + }, + { + "elements": [ + 9613377563510495297, + 5703006271030101926, + 18426792396036640371, + 16844749980288645356 + ] + }, + { + "elements": [ + 520201391393074671, + 2900934553102351419, + 3720515917884203171, + 3408137335862211585 + ] + }, + { + "elements": [ + 18000324241082689379, + 13719339292417281222, + 5302553923136991238, + 3446085465626913650 + ] + } + ] + } + }, + { + "evals": [ + [ + 13949886778248879956, + 1773999967246713947 + ], + [ + 5937734762170852571, + 9291312869592639567 + ], + [ + 9845173720669928509, + 11162041833152981015 + ], + [ + 11002553776367086982, + 2667794356226695978 + ], + [ + 12536445004744482788, + 7392332688813440474 + ], + [ + 17208022927420646584, + 16350753042993885396 + ], + [ + 13564328684497029469, + 14009631294674299700 + ], + [ + 5048813188319351022, + 12325565475632923508 + ], + [ + 8404631774561604542, + 952861558309186520 + ], + [ + 16127661889527890329, + 9157184842960449474 + ], + [ + 4372751602326941925, + 12027755010748504860 + ], + [ + 7022300281141435231, + 8795136843481234528 + ], + [ + 11236862626156570340, + 14040516346706412259 + ], + [ + 9898675833914198647, + 12881207579004830003 + ], + [ + 4572404425324618784, + 10200996862189599168 + ], + [ + 11784683977549888652, + 8238550010709665186 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 15477090830888648683, + 8583760450377255411, + 15866129392810269110, + 4477716109721627020 + ] + }, + { + "elements": [ + 1976265194013474000, + 2443150342302981755, + 14000066683595425800, + 11928037598754559920 + ] + }, + { + "elements": [ + 13254208331904529312, + 1064533605918914023, + 2809780040517153913, + 7376130553559383058 + ] + }, + { + "elements": [ + 2878814725758048893, + 708337665179595306, + 12026618033947388259, + 6703039233162913375 + ] + } + ] + } + } + ] + }, + { + "initial_trees_proof": { + "evals_proofs": [ + [ + [ + 15269991896042885259, + 3588392248529224955, + 16933497707348942176, + 2685897133991094740, + 16999718915027666423, + 4072972902501307180, + 15750885631843396693, + 7888945492771606296, + 18365895207952448024, + 1316585355576254725, + 14845297436364823695, + 15902486081864983202, + 5946759418623888758, + 4912338541273881238, + 473616516627152856, + 7127456107344525324, + 5462027228805221150, + 10269464860539249927, + 18017780246828271632, + 10263052745020176520, + 1921215467785696874, + 11947268236160425110, + 15505427599513624440, + 15110736297677152472, + 16931075327713409693, + 1152221334911655257, + 12457022916190631705, + 13185238721238860367, + 9209709837038604116, + 12587278439801437786, + 4270801482389086083, + 11413299669422705193, + 3147971041529696509, + 12716221661183700199, + 13732432932909650390, + 11881227637371917834, + 14679668387328197863, + 9934121532276259041, + 17176999466442136640, + 14337122539109865408, + 17766020138175731975, + 11433326452935841542, + 12180127221848471800, + 10127908201262095084, + 18409666901384888439, + 13087693859855320081, + 7898593188665443617, + 12749374467427435092, + 16716058429970202847, + 8954508957069841962, + 9802673728719534040, + 14697188500488942177, + 18294277021777953128, + 12136612604075053124, + 3865908081612660749, + 12573406985547563810, + 5169233662007975108, + 3536700103384784524, + 13879772652727872620, + 17702567190403434261, + 768485090179602549, + 15746468081823836209, + 16938100433129656448, + 3076867533852981809, + 17601063599060129985, + 15978919617728340215, + 13224198805449895242, + 16228128941392206039, + 4117361134193242292, + 8413960217511264755, + 12342394251890684199, + 2696649355514804972, + 8949364350939033482, + 15644434874865796762, + 913021109200164728, + 12129089250382657381, + 3454664461175355504, + 1425600139226224798, + 2936444354407664804, + 6423115309199166565, + 2323342959006349815, + 6307440426901644901, + 2128947280339460693, + 6251793110779312342, + 7831342776087752296 + ], + { + "siblings": [ + { + "elements": [ + 9876284542586403033, + 11532675860327633022, + 9037746210163308297, + 5127067597060080293 + ] + }, + { + "elements": [ + 9620546875296806593, + 7713577048568933829, + 9474021114547582757, + 10339632736044877851 + ] + }, + { + "elements": [ + 6503675562830375054, + 16186046027031910970, + 17947914201574327942, + 6110536329423757238 + ] + }, + { + "elements": [ + 12084570088502601076, + 17199802202079445875, + 1273830258011494810, + 1711724219574776365 + ] + }, + { + "elements": [ + 3519997509487329535, + 2856954245916389660, + 15758378880656910394, + 7103978675015630260 + ] + }, + { + "elements": [ + 2151793168430589333, + 5854436286519888653, + 1105187352997576741, + 793818999693321041 + ] + }, + { + "elements": [ + 12621155077059979546, + 8448068545992159835, + 12635842102944338360, + 8920695912651299228 + ] + }, + { + "elements": [ + 9223725575670041415, + 5695250463955534918, + 5528541788158516884, + 1611195623531647173 + ] + }, + { + "elements": [ + 4873327564068249606, + 9666079618452667172, + 5640821631591225409, + 7561342208685853352 + ] + }, + { + "elements": [ + 11126817639276523064, + 2567317072700859960, + 12512940296356888488, + 4654191598991866846 + ] + }, + { + "elements": [ + 4420081505043981206, + 10684088016788611267, + 8023427613561666819, + 7054340555178160965 + ] + }, + { + "elements": [ + 11610141663170421066, + 11308736678634324029, + 17743196384127554650, + 7050715744562629575 + ] + } + ] + } + ], + [ + [ + 13460941872457117448, + 16915825954603352455, + 10842892372659235943, + 2980916091398686622, + 10927736446875681547, + 13674217717688760219, + 2669566868815794535, + 13545090613150729840, + 14343720383132495656, + 12438195361586290545, + 17536943823402616789, + 16544037901306689166, + 18351861711575780015, + 6290352917256332048, + 1451249051359064741, + 4587937316602556269, + 11317863017843278544, + 14040802227985339913, + 11566354923527651520, + 8495787661014666441, + 780145408338197790, + 15520886245464163549, + 15817195573560125551, + 6868542285292531871, + 15863834853624811752, + 3181170109364415141, + 7381946304130795432, + 4242703222260646460, + 6469978507985372803, + 14681161174412426660, + 8259736375268091442, + 9247676171308996378, + 17825262336137804753, + 16669988584029930349, + 7222422527531461555, + 3359644564504800058, + 1889104144509667335, + 6606099884763972139, + 9103842762095287891, + 462577859922590701, + 1412554264776955639, + 5657851553882995994, + 1254668158362927116, + 4893430188774143966, + 2171145139471122552, + 15192311181529939665, + 17916907216093594887, + 9346110971479929475, + 10136678860160292860, + 12588340289595594316, + 14750928788084910303, + 14146578707422266451, + 15006078155719094344, + 7684005942571692343, + 9882812726762841107, + 1638843753724221044, + 17261757698344643024, + 16183594895395636371, + 14183312600575334709, + 16008838855452110667, + 12637390975519288278, + 17611788072493531450, + 2350740121450717503, + 13364454303774854865, + 16679187951728952519, + 10845220446085660870, + 10730231632543161847, + 7242487773369371268, + 9807346738436941999, + 785342257984637448, + 7990581139866278469, + 13652858540230597710, + 14782790195424678717, + 11319712178289478205, + 17682764477478384836, + 15084725281338497564, + 16239615312664054395, + 16199671162850860331, + 16320905268065551054, + 4182798847369108404, + 14676991952646292987, + 9248755012105077871, + 15886477720466696613, + 8069516468994891849, + 13343841750396875167, + 10745845086607318604, + 7186036271994767770, + 17739801929681996926, + 13966886574045684980, + 15360955867737137288, + 1754514081818713118, + 16137775035189045399, + 9782889754343018398, + 12019507209234580769, + 14362681105988689886, + 4581133071714589027, + 6441249600262155952, + 12018286013937755868, + 17835582146163000339, + 16097639631950029683, + 8281717487549420442, + 7110336033513110236, + 7634905429326343420, + 1395711558411167774, + 950690652380770196, + 14770580629675196784, + 63168526957097567, + 6817109630583956362, + 494114506994064797, + 14190319158852933215, + 17453198402648632572, + 9989772685688245319, + 17265496449724894019, + 11731410271096645985, + 13565632749887390013, + 4875039423176884020, + 17588328619491319190, + 145964963695307101, + 2848468623269423844, + 4375357466058123640, + 1921880676361581613, + 4569395061046317333, + 1523698471617557223, + 7189100500968934298, + 11039208725878106503, + 7668607137182492798, + 6690403951572532263, + 4801899387537196867, + 3440910220623274622, + 10625211524544933035, + 1783050626494134510, + 6091825474675299668, + 8296393354825532674, + 3382154286592058365, + 16103059862414659250, + 5489999246543251428 + ], + { + "siblings": [ + { + "elements": [ + 10748796176007574043, + 2687056074862513339, + 6859754505972592574, + 15381478815343927313 + ] + }, + { + "elements": [ + 4139820778812040203, + 2038431915535211763, + 1467233340748257570, + 14559052789140230224 + ] + }, + { + "elements": [ + 8151088151150983053, + 5004215889102311425, + 6832597693917739661, + 15975768163988522272 + ] + }, + { + "elements": [ + 5211097014982599185, + 13384641650330191112, + 5217972640088221437, + 2212209320348649525 + ] + }, + { + "elements": [ + 12419148047290987530, + 6864746441658786197, + 355951837090430420, + 4374653249770500699 + ] + }, + { + "elements": [ + 12576810323819910960, + 13596488217335095475, + 6205906041005718594, + 1113340863118545790 + ] + }, + { + "elements": [ + 14204407971319677169, + 6414897426488791147, + 7891039947923378954, + 4746716545392062029 + ] + }, + { + "elements": [ + 17282365659768847384, + 7846898799498504560, + 8000101010712375857, + 4831284038380132395 + ] + }, + { + "elements": [ + 10234795404248215846, + 12425451294218436447, + 11662834807230369386, + 18199628146495929557 + ] + }, + { + "elements": [ + 3916890861415688083, + 6716433014098767745, + 12327036692749439279, + 6540839393985694728 + ] + }, + { + "elements": [ + 12226367201225508772, + 15731403310287864815, + 7795903614579074285, + 16363159066555213739 + ] + }, + { + "elements": [ + 12321436320517642068, + 11450107699757430694, + 16770943999468197625, + 10243508563282898517 + ] + } + ] + } + ], + [ + [ + 4923598250533973652, + 14847501807943388783, + 3647304576023496142, + 1864378436949977372, + 5683863772328018272, + 13325460008077365544, + 14825711690139351159, + 6325522076053205021, + 10673530808095336416, + 1175307181009495116, + 4160920459541186411, + 16927087170958871617, + 14479963789347877740, + 12070946873017820107, + 7905603364475890650, + 6952965214765443367, + 12808934446840522434, + 4284932273552495851, + 18286278005868215366, + 10712979660646862873 + ], + { + "siblings": [ + { + "elements": [ + 9421539864309873904, + 4345622115278585520, + 10156753848510432654, + 13553484068046752905 + ] + }, + { + "elements": [ + 3855568819862972770, + 8020790645245131493, + 8897384188193827664, + 11568854379001266417 + ] + }, + { + "elements": [ + 7031609896225687256, + 1638014321077202812, + 7210355348691583965, + 2175552044884166206 + ] + }, + { + "elements": [ + 17309368233882059816, + 10586603569514611377, + 6342322280653908952, + 14923490806195794143 + ] + }, + { + "elements": [ + 15753467567291053591, + 7853843959075556555, + 10801947483338822561, + 9752187293357856416 + ] + }, + { + "elements": [ + 8494424575478302520, + 5509443357818749143, + 2911818619196259154, + 9497836309958158577 + ] + }, + { + "elements": [ + 16030590979148726714, + 13202379820358812601, + 8007273250388114880, + 2017128652803601689 + ] + }, + { + "elements": [ + 8185431228741303184, + 17008341166000625050, + 13146268929546966300, + 6292717925912524498 + ] + }, + { + "elements": [ + 9598784686883637952, + 15157316023374124939, + 4720356358288278656, + 10007406293344100248 + ] + }, + { + "elements": [ + 10562845231252500183, + 10901905789343985660, + 11432148465971661959, + 13907870345238100622 + ] + }, + { + "elements": [ + 15600858896006305224, + 2349251603054434728, + 8012605080695972633, + 11753148784120029553 + ] + }, + { + "elements": [ + 12652265019539043299, + 11123650176374550870, + 544917472859935778, + 18022725076842267676 + ] + } + ] + } + ], + [ + [ + 6872110792203895736, + 1731937232024526337, + 14929455055654788988, + 1883588613206623613, + 7255378544632831193, + 7848651750237242290, + 10135074592221165984, + 217586016592665565, + 8387493202201504128, + 11878891026168354033, + 1423530711491353110, + 12713334586497046313, + 17323849416413741695, + 13108212992889927579, + 10790952047271121462, + 2179294185700937587 + ], + { + "siblings": [ + { + "elements": [ + 9439669425278933547, + 15958324509069326264, + 10228613777212476, + 2765225226277122468 + ] + }, + { + "elements": [ + 6842173395510673914, + 17421398877957711144, + 8136855524287411107, + 13693697573656134477 + ] + }, + { + "elements": [ + 10787164978782850348, + 15283326787922014290, + 366641817469933942, + 10694643587387509518 + ] + }, + { + "elements": [ + 18043441565131355129, + 9972550768544990370, + 925564409896560641, + 14509531267301020077 + ] + }, + { + "elements": [ + 5641116447249263588, + 7965796214488635088, + 6874019042006264736, + 7437172212008664291 + ] + }, + { + "elements": [ + 13154639549065033087, + 9972394495027405620, + 15089973583636191096, + 7294664153731405330 + ] + }, + { + "elements": [ + 1234049249343257258, + 13211027978751171958, + 15148754306574572566, + 14528467174652218667 + ] + }, + { + "elements": [ + 11798576504045896995, + 14901294966283112155, + 6114894870530039701, + 4705982712009752113 + ] + }, + { + "elements": [ + 1103445714682792011, + 15297629238061816147, + 7196336679001186471, + 10315973421184502544 + ] + }, + { + "elements": [ + 10316802567021207108, + 11143240990511725366, + 17344457898520459414, + 11724075497244306393 + ] + }, + { + "elements": [ + 16007263152902348020, + 12649044338336163167, + 11655484209780177109, + 16980538974650918853 + ] + }, + { + "elements": [ + 13494223796257754497, + 14009278662302294258, + 5009558379794582138, + 15866555590901344524 + ] + } + ] + } + ] + ] + }, + "steps": [ + { + "evals": [ + [ + 287560410172386763, + 917161370426147628 + ], + [ + 11208848351055192174, + 12945690253944436288 + ], + [ + 9786044913211839954, + 1191940371532918402 + ], + [ + 2118226470693703780, + 11656852411385471631 + ], + [ + 4091621172953169035, + 7131178579553337463 + ], + [ + 1732677569859119336, + 8668251701091766325 + ], + [ + 17700518621535080844, + 14824367519203817199 + ], + [ + 11565717037131595304, + 8333451251036732090 + ], + [ + 7431572042918221385, + 16848942321896183918 + ], + [ + 2525955128226169107, + 7166052831986362530 + ], + [ + 12749754285554283971, + 11252153035250226498 + ], + [ + 15996808265711880364, + 5628803387988480033 + ], + [ + 14920599304710184885, + 12375361738012346713 + ], + [ + 16241239273399492233, + 12174306707671064029 + ], + [ + 4155041442029783499, + 1550677306788981167 + ], + [ + 17408879244878718179, + 4937618917491171790 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 7667337892864483513, + 13567004989435234066, + 8885541666529839638, + 9376279030295279761 + ] + }, + { + "elements": [ + 5666800867850718035, + 13549597495437359575, + 17651032437636726127, + 17761500629994953185 + ] + }, + { + "elements": [ + 7187779673771611977, + 737451446969718775, + 15820556089576289244, + 2925681144324029202 + ] + }, + { + "elements": [ + 9058972495518022488, + 127473648645948055, + 15761370671303911055, + 1456365684437558081 + ] + }, + { + "elements": [ + 10011944765313165708, + 34893089231323423, + 14643125422786768082, + 18024121685090389393 + ] + }, + { + "elements": [ + 17419284351133979255, + 7338635471647291966, + 4603345664591445314, + 3853006847116652851 + ] + }, + { + "elements": [ + 2607264788136027741, + 18404553317595763914, + 1080703217436599156, + 510506967510923189 + ] + }, + { + "elements": [ + 2085425289291080466, + 3770097039308950392, + 8123656163546302385, + 7427307005906979715 + ] + } + ] + } + }, + { + "evals": [ + [ + 10569690406489998818, + 1565785581980149632 + ], + [ + 1640553986307566034, + 9952566586462897336 + ], + [ + 16729436518735348846, + 12884108030522890264 + ], + [ + 14773741082367489946, + 14483007138230079231 + ], + [ + 14509975236842617817, + 16121754220534767358 + ], + [ + 7977582559928841084, + 18104187060227872728 + ], + [ + 3529622595947602098, + 9872066023383338015 + ], + [ + 16734143320889675898, + 2746105206330456426 + ], + [ + 10177317921236565476, + 8220917322591022365 + ], + [ + 12867124521639801208, + 14366794326145370390 + ], + [ + 7728079114874144739, + 12154184895675600619 + ], + [ + 6501837496965502648, + 17616112888631579771 + ], + [ + 6220485037379930424, + 13499533994867664937 + ], + [ + 7498950644219372223, + 6466913426422062406 + ], + [ + 12787293055204830277, + 4191678357220257350 + ], + [ + 2207476678454936437, + 1279787568140372044 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 6973502078162604431, + 16296632247511245847, + 517820351628781441, + 9937675486454248302 + ] + }, + { + "elements": [ + 17301657771018139273, + 280435227171296354, + 6780478366415304734, + 18398484092000112804 + ] + }, + { + "elements": [ + 816175092379059692, + 8159884308303194673, + 6295885079007253258, + 4524591443127740160 + ] + }, + { + "elements": [ + 12123417033887966207, + 14033768930141160135, + 3579078291112504008, + 9242870402831643913 + ] + } + ] + } + } + ] + }, + { + "initial_trees_proof": { + "evals_proofs": [ + [ + [ + 12153587728818702566, + 11570768945573462361, + 12906776288650321494, + 5895131217411150968, + 18183824708119546734, + 11688034833431227301, + 5011182085627366921, + 18212765912533400498, + 8610739763678627746, + 510497888965363611, + 7927122730218704189, + 6175088075444181736, + 4853317961493957847, + 16306012212744671208, + 11872348559369469188, + 11013628948627629724, + 14516408476422937848, + 16573070927273797059, + 9781502629430935490, + 5335289013297445354, + 1649281685362231529, + 11469035962387677219, + 18229470591155906879, + 2374589065569752284, + 7164948552305873155, + 16207854619694933107, + 14115573792870884753, + 5840696113588413839, + 4034839182432775068, + 3483268824380522556, + 9952093443278637076, + 369448610562435625, + 11867612802006108181, + 2772314131403569641, + 7844918936953900543, + 8909158367125253682, + 15500760141121925661, + 4069640243193964877, + 4839890611294784741, + 1279355087413489865, + 8428714367349594824, + 1856183110517001325, + 9426134326873401171, + 11807816114673316218, + 5820693399820214816, + 6371814599134129034, + 16102803871806342753, + 12700589283614385373, + 7679452143541619929, + 8978911539956626489, + 8514227376005665016, + 6795429418363205566, + 1147049503568987208, + 17370824476183065769, + 2606572368876835849, + 18223275414277745725, + 4133366052637271854, + 7389881105049665778, + 1173228065212536606, + 8627394947607633932, + 15754580817862370721, + 11146240605557091621, + 5842411623425358987, + 10173135086686371361, + 18029950504031726894, + 12882430983209098571, + 2281608322249030383, + 12935754933469704900, + 14718240759632304991, + 1799258199035741570, + 10598037118016722260, + 11193149667467631272, + 17563918583529055678, + 11557872021769977974, + 16263807012414687501, + 7577247109361189303, + 13958249703605687855, + 3119012591832820072, + 1882023814031706734, + 4658328636324744236, + 6643034094209730209, + 16214271976818589011, + 10079363618052768672, + 15564933276038539533, + 17869049202450893116 + ], + { + "siblings": [ + { + "elements": [ + 10593454230694051132, + 9425575111156354717, + 7306114914642459061, + 14030561160359229767 + ] + }, + { + "elements": [ + 12837193394914337906, + 18044022540059710533, + 356407133267328612, + 16061002197279675828 + ] + }, + { + "elements": [ + 13754033698242884574, + 15964688751383934145, + 9916358094871414397, + 5172701313222121792 + ] + }, + { + "elements": [ + 8403222134918394905, + 7745668694397586081, + 4742445356278637745, + 9754717372485496703 + ] + }, + { + "elements": [ + 5962294196107664149, + 7296351127609736977, + 9727931645203210293, + 1487008344774525490 + ] + }, + { + "elements": [ + 2902368361849720764, + 12743091931243848809, + 10900755742924429485, + 15815742964878373316 + ] + }, + { + "elements": [ + 15870133078400691235, + 3445254853092819634, + 4701093442555107919, + 12471445583029371650 + ] + }, + { + "elements": [ + 16884985265677170915, + 3311654346559599047, + 3512760649334224859, + 15559345587864984909 + ] + }, + { + "elements": [ + 13779554980061844609, + 10078987880734400122, + 10673849588730242883, + 4321987132866095968 + ] + }, + { + "elements": [ + 14388011913681056048, + 14671768785155751214, + 5943804380496816558, + 1521976400919729263 + ] + }, + { + "elements": [ + 12234899363151855227, + 17367344550817619561, + 9591393280040066051, + 17281119542892787566 + ] + }, + { + "elements": [ + 16187836704609142838, + 10172801876230300775, + 882355873840096293, + 15693157746383068278 + ] + } + ] + } + ], + [ + [ + 9882035626908462939, + 8778484161300467448, + 15533180617008361637, + 893632125717017889, + 1553112787657617783, + 9491357013905306979, + 10191324274703505446, + 17778057241235389846, + 4404661787146190756, + 16344764278964374651, + 10959517612002310575, + 12343396192360522104, + 16387313707061438537, + 6545603476573812067, + 17447347218542539440, + 16373314069102968086, + 11242552238202053903, + 7830678293063602479, + 16512861246860808528, + 15564510503010941534, + 9754307623771007995, + 7422981376232607750, + 12570407300348498004, + 12056779716264439702, + 16502003354089979248, + 9699913663170024304, + 897450711862843062, + 10418371108854569613, + 13781141283784392344, + 1213035062168578140, + 15105034733781879848, + 63966804834808163, + 2654609833654964598, + 15663449990987530880, + 11049265667193357742, + 12219686372638964416, + 2828316985576105416, + 5656938122695614152, + 5112509007255714253, + 2931322898940006246, + 10632933897538427274, + 679073419786737762, + 8092780947319343301, + 1359211335613651342, + 11695672296554604819, + 11885557179018007624, + 2826216007554885880, + 7474350114090347897, + 3372902233437074962, + 8256444621016387009, + 14568117604370576781, + 17316718294430733351, + 10474625532339889116, + 2667396551523997163, + 1562700804628320606, + 16720258084895686842, + 13356612854211786672, + 6857682690071563203, + 6434387459660090699, + 10405455233280928146, + 8931665674524901713, + 13671840168971052118, + 13295665454346798599, + 16354851211278558175, + 12040352792016893603, + 10417355805683687861, + 9981445514743534304, + 4611527076282409488, + 783691417477065765, + 4872787589513818200, + 4623054174394849613, + 17000366500189265961, + 1043697246467624333, + 17041425849949608809, + 4021605716635302876, + 17079275607857053783, + 4060845746285615263, + 12430278877189271359, + 13866115853453643835, + 12367820139504972871, + 12567652569554554825, + 3094897323700465640, + 15487518998175633114, + 4806899381371344831, + 130506800221534330, + 16033616672007635196, + 2597615085715124689, + 2877228571769805280, + 566860183326373953, + 389308063538718330, + 7218655624539350995, + 9524205271240031013, + 4903529452963988136, + 2638307922588563321, + 5172466275090234139, + 12354446955015960191, + 10159790883608291945, + 16315127057129469893, + 6933020507118400949, + 8273156654254756691, + 18236766752801484418, + 11357069232972840226, + 9403596104421634607, + 4893600761589670312, + 3272529186808240111, + 14452019162787996250, + 14625191379418584434, + 14057977779541310752, + 303834284847029639, + 10130656950668354769, + 5272831045408474943, + 15127811264539159713, + 17050897716081915430, + 1964581524810177916, + 14746547267712972638, + 16454310291506494620, + 14568600468677542762, + 10961444563346153511, + 17722522289355401915, + 17398459511917219262, + 2549522348215471305, + 2661546808687377065, + 13607303615359686264, + 12205393885719008639, + 17878428143840681996, + 17083533021671854069, + 9215002112586234402, + 13767544055045969788, + 351846416870258492, + 7805249308898175994, + 1423608701305543477, + 17651316035036663493, + 15984559457835292915, + 9135329009400965814, + 10629930112773881188, + 1103041394334556200 + ], + { + "siblings": [ + { + "elements": [ + 16394392740008159023, + 18065869473719706799, + 8373310913902947365, + 1836370273828361511 + ] + }, + { + "elements": [ + 4981563008709881782, + 3435436786803023731, + 6299335625838626267, + 5630588320242909774 + ] + }, + { + "elements": [ + 9585029822195286776, + 186768081728872620, + 5222539445603462635, + 8419158096532642166 + ] + }, + { + "elements": [ + 10444546894357470715, + 17347488509849997311, + 4382549884466511973, + 11922030021323240597 + ] + }, + { + "elements": [ + 15293816752422340791, + 17342047890000804611, + 13034805598805482490, + 13101745388101256705 + ] + }, + { + "elements": [ + 15447114935281902640, + 7200048845649034022, + 13372893929757115828, + 3462753366114273435 + ] + }, + { + "elements": [ + 7874976523229458786, + 16587890763267939611, + 10557890194780902570, + 4309713887854687458 + ] + }, + { + "elements": [ + 17086981316304222556, + 8140223083548857739, + 6073364618974307888, + 17290612749126478285 + ] + }, + { + "elements": [ + 8821213941952354018, + 2599966798425122523, + 9373835831292676004, + 5886832787378790150 + ] + }, + { + "elements": [ + 1300913222480733664, + 12730300226966596172, + 14422784978569791537, + 8478331660040954562 + ] + }, + { + "elements": [ + 12272747076386063643, + 5515833015981519921, + 179747443209620471, + 14313676332167607661 + ] + }, + { + "elements": [ + 14960605814026053050, + 12512997947424717623, + 377422062974086276, + 16945410057338839442 + ] + } + ] + } + ], + [ + [ + 2149600568486449832, + 16802854070428413853, + 2214577129216274778, + 5599888846827880249, + 7577242698030925552, + 1877341576299144692, + 9513321117646831000, + 11645915189974892636, + 909999622291508101, + 5175812629714981092, + 17878112768754836357, + 3552460747609111105, + 2184824656378303679, + 16676461864684689596, + 11085855084062616978, + 15096163430645140737, + 9864620796344996425, + 6638958903357457921, + 8372502761091092500, + 13734310842066318266 + ], + { + "siblings": [ + { + "elements": [ + 12665840879919390800, + 14558167263455447800, + 11018812071552998836, + 2587233057310091630 + ] + }, + { + "elements": [ + 10607607405624115188, + 7717022852167273749, + 1928190293530090770, + 1986433640373211568 + ] + }, + { + "elements": [ + 8259113036257436745, + 13721877359898531944, + 9722623651194601365, + 6335742072383397113 + ] + }, + { + "elements": [ + 3696328767336704019, + 898927020290580011, + 9504078216589090592, + 9538809099775547328 + ] + }, + { + "elements": [ + 17157484396976503344, + 4458937857767133053, + 637628609888584869, + 3095172595485280835 + ] + }, + { + "elements": [ + 17618970996464323530, + 7758877425981344196, + 6677623928229600542, + 5767522052715808693 + ] + }, + { + "elements": [ + 16412723577134875775, + 6559915347895003901, + 11557652409166980522, + 5484223105050896491 + ] + }, + { + "elements": [ + 17382948847699593851, + 5013131894214942106, + 14553669699886009016, + 10811110649354756656 + ] + }, + { + "elements": [ + 18402615796055008006, + 15027027508685474361, + 3899038040871231590, + 14981296380080324284 + ] + }, + { + "elements": [ + 14412115820575545180, + 1221050603668985231, + 12529238816984612447, + 1644205178991396629 + ] + }, + { + "elements": [ + 4457583901807458172, + 14349184167374256373, + 3944566596683933538, + 9994184362901443724 + ] + }, + { + "elements": [ + 10731754863524169468, + 14862036652461338182, + 5955078776132759757, + 17232725544936219817 + ] + } + ] + } + ], + [ + [ + 4064683754251332565, + 971407449200744743, + 11119218384274951824, + 8820850556649391868, + 10540955716837224246, + 60166991566317202, + 17408579275697555435, + 10006592585019181172, + 7597528411850934632, + 3962343772039722409, + 10478516108347794680, + 8171991273738862749, + 4660078126845539760, + 16039444046044430462, + 9475212515429404627, + 13807731695396099116 + ], + { + "siblings": [ + { + "elements": [ + 6620416958538542239, + 7102013385969318705, + 9872051175155835769, + 7204042078708031472 + ] + }, + { + "elements": [ + 13966054603313639901, + 17611587116518513644, + 17886621404437173784, + 3591135646200297868 + ] + }, + { + "elements": [ + 1712758985481181931, + 2895722535844714065, + 14806176256661113990, + 6745815852538070326 + ] + }, + { + "elements": [ + 9537355874355345313, + 834912263554974371, + 7717618623842907162, + 14040478074214842685 + ] + }, + { + "elements": [ + 8172505939635268808, + 903795106437248679, + 3602706482796427371, + 16573431533994135481 + ] + }, + { + "elements": [ + 12377433755012213488, + 2281738691819487942, + 5841739733378400445, + 2427652487655752069 + ] + }, + { + "elements": [ + 17525133687005701970, + 1737265491765064129, + 3816102397467691879, + 11551028138430093958 + ] + }, + { + "elements": [ + 268994596819228219, + 12009941787307493175, + 15660674386588723631, + 4835408584674926647 + ] + }, + { + "elements": [ + 12125487708244203623, + 4779743289862936644, + 13705812032668868209, + 691337667126216555 + ] + }, + { + "elements": [ + 412195086527293561, + 16412482629321781370, + 14859703548797782251, + 1523675180564504634 + ] + }, + { + "elements": [ + 17531959778059245623, + 7654516708017608960, + 4919904084577061616, + 8237603624104056285 + ] + }, + { + "elements": [ + 7794457712590846120, + 14691371730994187245, + 6593435994109515714, + 5960409246316098015 + ] + } + ] + } + ] + ] + }, + "steps": [ + { + "evals": [ + [ + 4644904724113162961, + 18428607723255985053 + ], + [ + 14838659206001111426, + 18181149055710597112 + ], + [ + 16860560637814128754, + 18316853155187911101 + ], + [ + 971703021767802936, + 14464585248047114073 + ], + [ + 11589805046873477953, + 3443676811547354118 + ], + [ + 11921066107732850266, + 13156311979603948624 + ], + [ + 7805948894071558260, + 9368056720761667675 + ], + [ + 9446109161985360010, + 4226953931539589397 + ], + [ + 17741520137957412299, + 12939428887876225426 + ], + [ + 15871599362012848498, + 15380459997362801517 + ], + [ + 1645641289407210056, + 13712981833418984193 + ], + [ + 14339148463355176023, + 8458441948926385287 + ], + [ + 11343802052709668790, + 477390297773884268 + ], + [ + 7356260502494952831, + 12211341236865604657 + ], + [ + 9791543409931623873, + 8974573513065974702 + ], + [ + 5053953251338506419, + 1369936491135095801 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 807009559157539988, + 3663194700962153195, + 12692272160664510850, + 8841203841039783959 + ] + }, + { + "elements": [ + 17749243727614038351, + 15358932018469179702, + 1972615162018828514, + 4965532673588648823 + ] + }, + { + "elements": [ + 439678041153168228, + 15537890108287287775, + 4973741562298845513, + 7037088923402632070 + ] + }, + { + "elements": [ + 14633877492493991237, + 14263723193754187351, + 17135171234672334051, + 14100516410497707458 + ] + }, + { + "elements": [ + 4932451447244681616, + 17822750464204110823, + 8630001313801994883, + 10295204195391721549 + ] + }, + { + "elements": [ + 12062306109530337151, + 3797539933652441808, + 18384026100120667347, + 3395405098572656957 + ] + }, + { + "elements": [ + 12496725694740985213, + 11621942751024967060, + 616200262352814712, + 1890854884005101257 + ] + }, + { + "elements": [ + 8377048587611519225, + 17762820914577344823, + 5132178831696370266, + 6196334174807784060 + ] + } + ] + } + }, + { + "evals": [ + [ + 11990302240043017374, + 3473686890496645906 + ], + [ + 9731167242395125019, + 265756836331218838 + ], + [ + 11831856012834326726, + 5987914088624449277 + ], + [ + 10563098844362714958, + 5336163529743247805 + ], + [ + 15672721712112688815, + 1695570464104687536 + ], + [ + 2445947535832298827, + 1954547060837397149 + ], + [ + 7340282962522845035, + 4871407487787866995 + ], + [ + 14621286393241326154, + 14609148147782854016 + ], + [ + 4117677901322188978, + 17448005064393199605 + ], + [ + 17851815299466198745, + 18035611027684396054 + ], + [ + 17347393315540203435, + 6068071769000606982 + ], + [ + 17385276949893777304, + 8786808792635945291 + ], + [ + 1398408372531680740, + 4143674760898113935 + ], + [ + 14913389934330586030, + 4673964632228092364 + ], + [ + 18341183600824347874, + 10856176353480490109 + ], + [ + 3020307528745657413, + 9421658521662482737 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 6814071473404659540, + 12435772452614725138, + 3976858828281784944, + 17294494025862678262 + ] + }, + { + "elements": [ + 10963405076502380669, + 4899527235540126295, + 16125779119534663150, + 3349470006044014746 + ] + }, + { + "elements": [ + 4632897157004687834, + 16961446161613393870, + 8747262266270116800, + 10193639378535118674 + ] + }, + { + "elements": [ + 8575159821438957224, + 16543697183519116444, + 2796166535765750461, + 8414930672139227196 + ] + } + ] + } + } + ] + }, + { + "initial_trees_proof": { + "evals_proofs": [ + [ + [ + 1067649945183587194, + 3733890378839364087, + 256829183600869807, + 11069731623375038156, + 14304238003835032830, + 4320262891955089615, + 11808878446597586363, + 683076786100843890, + 7818377805686707328, + 754531939143850976, + 7069888001493185611, + 6813935392355085743, + 7593776063688943992, + 16888696428824212013, + 17820931058084764783, + 5947166003672662942, + 13653603049276529833, + 16506828988962355614, + 9455701078192082388, + 11145413827939730339, + 17524851400327947168, + 815361405578545775, + 10089204264843575213, + 13388158555995224757, + 14244248702213225145, + 1202413909367209585, + 6514710172603793111, + 11038674693649614817, + 9842030457119379034, + 15037595015247717286, + 5227177498879707926, + 13468536125723532460, + 10235115349396012857, + 11179320117880355324, + 6540704138920757695, + 1392395431515190520, + 10095845510474172563, + 9097112463909415120, + 275995239324997041, + 14503168408714341089, + 9390209726116681794, + 6992236003716150556, + 13956344654494919497, + 14430598849890630483, + 10125948287899990937, + 14092890492000486441, + 10716624021885521632, + 5396244903960954191, + 8401436706181513347, + 839211450197214157, + 3536060869581611256, + 10351455660913160097, + 6136131049904991293, + 15246069711387345571, + 4685657409643538230, + 835451141937603394, + 4701015352862983571, + 16035490281311998749, + 1203649036958360090, + 1329781789280424892, + 1575003780526755308, + 10275015643075225314, + 3952304287024667703, + 4646233790829290642, + 10499266534232377550, + 13040695533578683004, + 811630356946157276, + 13790405276259865437, + 8519184558471840449, + 17505849069282496875, + 4752180881207242424, + 14926296725822655576, + 2112442968822299163, + 9908869508286051845, + 15440489023242110145, + 18434880405135696152, + 11742206869942863073, + 6104327292719974842, + 846255777760829394, + 293818768485653143, + 14878035611639938662, + 13551680750419165819, + 16294040082144173842, + 1615532001845550372, + 1107813392224982896 + ], + { + "siblings": [ + { + "elements": [ + 15881388960184190482, + 18223328745210450293, + 3863946468284345986, + 14473417707594121965 + ] + }, + { + "elements": [ + 3628256515472146149, + 15875694510813758375, + 524202056785458114, + 10119298760621559528 + ] + }, + { + "elements": [ + 13487692987611991490, + 10578798302113738824, + 94855521016233702, + 1659213116684718437 + ] + }, + { + "elements": [ + 5006095443677518949, + 14939606197937268036, + 3811312571874176817, + 5069423709770746515 + ] + }, + { + "elements": [ + 1695786157533867179, + 4327850922054608668, + 5023575389936486267, + 5980369040519361346 + ] + }, + { + "elements": [ + 15056994453745136329, + 4847790143421706733, + 13473580895642106848, + 3005694749929978668 + ] + }, + { + "elements": [ + 11747973718401276931, + 13390376541756677650, + 1365632933722892223, + 1354111039441418300 + ] + }, + { + "elements": [ + 2903465902140038969, + 9000314898577591164, + 4143133406013266398, + 10880607670731043187 + ] + }, + { + "elements": [ + 950190569729612198, + 12707831238987920572, + 15074916766058692847, + 13513724235278772659 + ] + }, + { + "elements": [ + 13367374126650987340, + 16028100885504183546, + 13589357840011342677, + 7997637504081525480 + ] + }, + { + "elements": [ + 2958737456937887979, + 16257901803474325685, + 1515939409266533701, + 13271993835888457696 + ] + }, + { + "elements": [ + 8067985144220181948, + 18329295762384288941, + 6437382707346392251, + 17901463337228537740 + ] + } + ] + } + ], + [ + [ + 8835468334593232819, + 17447417987896115478, + 2987400816615337867, + 17084572659771285373, + 9798021299544456096, + 14195163238001984366, + 13703802823141095206, + 4512322151806152728, + 7042537364591007184, + 3298914036900875315, + 11969623849389168159, + 3644793529231066075, + 14966562633887507203, + 13281359982969587088, + 14850272626120318387, + 15720897840706728324, + 10406243749943951730, + 16089988779673011782, + 15549881626726265627, + 7147968154301045952, + 5389203390599616381, + 15676258576496370448, + 16499713343654945916, + 17819431377999735223, + 2660120581468339782, + 8785653472940609313, + 7944363904661397354, + 5679521731063535542, + 18309943004372253862, + 15441343578387582405, + 18022829800669132963, + 11601594343532496931, + 1463817399836371253, + 6456070036883987891, + 5353516167860496217, + 806036389555083896, + 3031260614443480996, + 8007210490673059417, + 17394974701436507617, + 15514931500927200168, + 7871627597976576791, + 194735193523909815, + 17945480091974327605, + 16782153115970038781, + 4827022657768503611, + 6091452429826878334, + 6032680558608988798, + 14651040044731537599, + 5782373770409194248, + 17560100658019041503, + 11230525361984456985, + 6579418002276246573, + 16266976408909430046, + 11343762477163890203, + 4858091092484502304, + 15574212654555728438, + 7745872421377820416, + 7950719160417276298, + 2667605817402243334, + 17620170175462338481, + 2861106950468199868, + 11208706555024684976, + 2691264971520008641, + 4451560599655618478, + 13610816320291142783, + 15727821000790384915, + 5138527518748727326, + 5695672661024968363, + 728147959661123128, + 7560063750207641878, + 2020439528075291096, + 10708726248724497133, + 8507494947247526520, + 11334219092035773001, + 2809304770961086348, + 11606107763804679690, + 3113565424596498927, + 264429800314314781, + 17798938904583314492, + 17199015224373470695, + 10529501853192177641, + 13844794608515081984, + 7768708047324541766, + 2691664989591126448, + 9262268874277529334, + 9734960417438253763, + 7877618091766854243, + 17699343252840902100, + 4427582325520065130, + 3408007157146126417, + 15449299793201674762, + 1754706457939330613, + 8538123061836129892, + 11766543700947954137, + 8670035020972837764, + 11284613590157606574, + 6196895941828081977, + 16714819421423649599, + 13154036609248652939, + 16002222477376139335, + 2086545059057787701, + 17203097742043283661, + 12710314153557746340, + 6133167411552682762, + 5454105091413391641, + 13485831742296315594, + 6783578171930457016, + 11780363034927685819, + 13476350235623353030, + 12170745665526776287, + 15377763932423162751, + 13795512998809672310, + 12956287795827958857, + 4558408866140615634, + 10850372077905611989, + 11570590646140981883, + 16226480599704128049, + 6285155097561658330, + 15021972485375422164, + 6530297587708289721, + 7452430880907352307, + 15294520851107198881, + 7568745019340913654, + 2762466877415504128, + 14918693836955416483, + 1812215660144362796, + 12367192525824643803, + 4883194873937594549, + 13407452618580367242, + 4347586620379180560, + 2233298481816236986, + 4884370105857677997, + 13705376143625908399, + 9385693899427709574, + 1481397411339134308, + 17419865891183633021 + ], + { + "siblings": [ + { + "elements": [ + 7214656711263604523, + 12576039362069803971, + 916636207458965288, + 899328096324816815 + ] + }, + { + "elements": [ + 1603434556392544470, + 912209049793486635, + 14347254260235323461, + 16711999594668593925 + ] + }, + { + "elements": [ + 11571147390693592211, + 14915328826763157131, + 17133839075440811429, + 11283681690340691169 + ] + }, + { + "elements": [ + 543800755029135806, + 9194623502717002465, + 5320027624360459097, + 12882140103399061341 + ] + }, + { + "elements": [ + 2415451732635538462, + 3338835261728173597, + 16775346345039961327, + 14948025017249811417 + ] + }, + { + "elements": [ + 2764106101000047348, + 321263799038930478, + 16399791232483261229, + 4892587454217625180 + ] + }, + { + "elements": [ + 14043073769763258137, + 14003529379879937507, + 17502401199207651457, + 16474627298352208417 + ] + }, + { + "elements": [ + 15359284701707894308, + 11240882736210095847, + 10192382625731433967, + 12981649555647327895 + ] + }, + { + "elements": [ + 13478482401245824145, + 9761642390951165073, + 15564619782482141741, + 15502433277667719940 + ] + }, + { + "elements": [ + 17168842217031825887, + 13862456120251632513, + 3067050463077883248, + 2253491484678222091 + ] + }, + { + "elements": [ + 18104412511313294570, + 11307271750773266456, + 1853421352815440092, + 1501524339147135222 + ] + }, + { + "elements": [ + 7807001250366288446, + 3961606381586802216, + 5113263270346356945, + 11074062439786070 + ] + } + ] + } + ], + [ + [ + 7226215962582677033, + 15222177236203758728, + 15973151000171582376, + 5163982487551054161, + 969787156674855650, + 15510067475237748179, + 15093739203602794717, + 107794469143804204, + 11320220895094237117, + 17611087075333794486, + 1348104180684510198, + 7714817609048633897, + 9130229707213221453, + 3102437420119949774, + 264521829836399930, + 14355845454179144737, + 7736284467730869767, + 6350121375021935726, + 1187177564812060474, + 13624994419294179972 + ], + { + "siblings": [ + { + "elements": [ + 3554822923864292106, + 1864820609239119496, + 6347230930866554090, + 16512891945479292433 + ] + }, + { + "elements": [ + 8659093546793104922, + 17520405805470853747, + 11662890225862855787, + 13803514212915696161 + ] + }, + { + "elements": [ + 7667798458223108889, + 8370503542247005975, + 12223185321612895546, + 18286539354438209037 + ] + }, + { + "elements": [ + 5110750569890887724, + 17942531818971205371, + 4358174038135995199, + 17941216526169091449 + ] + }, + { + "elements": [ + 13079124303082591615, + 18173111042214617979, + 7789945870614471971, + 1462741095005395968 + ] + }, + { + "elements": [ + 18299156757600092297, + 13824550300473393159, + 332136901057938584, + 9402649899278193296 + ] + }, + { + "elements": [ + 5046027852761984403, + 7243670456271412432, + 6396385673047248331, + 9130717677788538595 + ] + }, + { + "elements": [ + 9570557377464971941, + 3128023858461416650, + 7968244643558535613, + 14690046828005461307 + ] + }, + { + "elements": [ + 9942656230326427442, + 16052674860917774185, + 18044412239279476239, + 14572077034761067303 + ] + }, + { + "elements": [ + 14847191613253538136, + 11661048569616832864, + 4447145674013764201, + 11542503562324242658 + ] + }, + { + "elements": [ + 5578974666751833031, + 12168728664039393578, + 10535531582755052209, + 18185934009698751609 + ] + }, + { + "elements": [ + 13330407646359934046, + 15472776478113428782, + 15214335777793610749, + 8993847802448825751 + ] + } + ] + } + ], + [ + [ + 2983802210014877703, + 13109667416554528659, + 8909934103605763690, + 17764064541962357359, + 6527368047212653313, + 10619207693089132913, + 9118026573649778345, + 11474002229009261020, + 10874831875090248393, + 745941143277139515, + 10357216677637879396, + 3077733329868161034, + 3548634399593319823, + 14559597451274405869, + 10204197099101240288, + 2061773919284388919 + ], + { + "siblings": [ + { + "elements": [ + 9722131237778637801, + 4119758680245898311, + 13970008259993161141, + 8237154556569931299 + ] + }, + { + "elements": [ + 978911957857258931, + 15539870000831960151, + 12542694210166363806, + 3081009919681181258 + ] + }, + { + "elements": [ + 7438208407827702701, + 996996674751577187, + 10590560299080435813, + 15109706725568031503 + ] + }, + { + "elements": [ + 13661765637318983852, + 14651744208828301813, + 15035338070906736451, + 13477190551683410031 + ] + }, + { + "elements": [ + 12559854170876740838, + 13566150807474141536, + 6486398390069795423, + 9142396130694136066 + ] + }, + { + "elements": [ + 5599361002304468698, + 11987417561862169862, + 9389685485591592690, + 5175274351415519167 + ] + }, + { + "elements": [ + 5586924805641548012, + 445915803412249554, + 16348122020563644488, + 9801698412672477194 + ] + }, + { + "elements": [ + 10372321302746371725, + 748401368097218042, + 16171159175187278441, + 13264049831951280010 + ] + }, + { + "elements": [ + 3144285435299793559, + 14520086230510339837, + 7946073880747807364, + 14306803035986326633 + ] + }, + { + "elements": [ + 12553449361234408305, + 12176596838447381798, + 11492879281964856026, + 14975094983600100502 + ] + }, + { + "elements": [ + 17934931586932633425, + 11792292519029178291, + 10563451769606219322, + 7843750355322609442 + ] + }, + { + "elements": [ + 8882312405840711789, + 5856563074040386433, + 6539065507602753621, + 15866575262645695789 + ] + } + ] + } + ] + ] + }, + "steps": [ + { + "evals": [ + [ + 3760493271120238514, + 16142444906984997834 + ], + [ + 12442877049221488638, + 16542733407388454093 + ], + [ + 16611377917171322874, + 2771190407535182278 + ], + [ + 183050785399646429, + 16404836029548718337 + ], + [ + 9396928054400698822, + 18434172017012266310 + ], + [ + 10627677935467006624, + 7391936299719223604 + ], + [ + 6848908991597851227, + 18115422506679541482 + ], + [ + 4577989443016998869, + 10427173790398356579 + ], + [ + 14223148575625351634, + 1201202575699610471 + ], + [ + 18001369120027183759, + 4890806912011601446 + ], + [ + 15281538636835740409, + 7286279299963890508 + ], + [ + 13660197238437290429, + 16649572300060156294 + ], + [ + 16750614441087052470, + 15465972768539750137 + ], + [ + 6737100931309462420, + 16266945308348255846 + ], + [ + 17342476933246275946, + 3053825760235058936 + ], + [ + 3774479194677582936, + 9276645218412041213 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 17657012208013363150, + 8637758357735226146, + 16066823202664332326, + 16609344438065304202 + ] + }, + { + "elements": [ + 17557211576817748415, + 17591226804628819280, + 3609155306291326267, + 4910930645570331773 + ] + }, + { + "elements": [ + 16901697244301956081, + 11235681421258079843, + 13167585229968999752, + 16790833074206077337 + ] + }, + { + "elements": [ + 18231577465585736759, + 15113561363361675706, + 6761895976004812495, + 11839610225096915870 + ] + }, + { + "elements": [ + 883429519681347280, + 924579141170026073, + 2198267391217253586, + 5600026210986721375 + ] + }, + { + "elements": [ + 7310884932206512040, + 1679546363838336398, + 5248113026703854328, + 973695331875370309 + ] + }, + { + "elements": [ + 8854833282637932949, + 14498919537401533063, + 13785461261620891354, + 8397172241581861970 + ] + }, + { + "elements": [ + 10004650781672876012, + 6223861475457483562, + 17407825122601871872, + 4104293012175775128 + ] + } + ] + } + }, + { + "evals": [ + [ + 14234524377282984549, + 9691795770119806049 + ], + [ + 14583129442175596579, + 11606891402091173564 + ], + [ + 5205142933406811889, + 7006297924993254226 + ], + [ + 14172512191484573997, + 5358548479750277124 + ], + [ + 7324916324033844801, + 13077228705495460826 + ], + [ + 10486825756072734936, + 13439318679104335465 + ], + [ + 1930590716171516384, + 10250487629148923775 + ], + [ + 14296131027576895925, + 5636170114534008562 + ], + [ + 16763648736789531009, + 7117010853482481665 + ], + [ + 6114865076474187693, + 1823006377440530002 + ], + [ + 6234766793178338266, + 4483428070424515973 + ], + [ + 6719161584907829846, + 12500231688773733005 + ], + [ + 1896695877581065267, + 10286321523111328922 + ], + [ + 7422235712477216823, + 6437387424617450575 + ], + [ + 11503533741355204211, + 434176893480891242 + ], + [ + 6719770969882246225, + 12332883278758394854 + ] + ], + "merkle_proof": { + "siblings": [ + { + "elements": [ + 7299169020822359168, + 2223038065958464993, + 13678847100592641499, + 12968395366485983088 + ] + }, + { + "elements": [ + 15971942018003781068, + 17592173939020674703, + 12976269271435332971, + 3722330585502546879 + ] + }, + { + "elements": [ + 9776625295627659181, + 17245549604036208740, + 10156576935252723690, + 14885244022541930269 + ] + }, + { + "elements": [ + 35552573152725334, + 18053297590603761122, + 501300582866574586, + 3175078411235985691 + ] + } + ] + } + } + ] + } + ], + "final_poly": { + "coeffs": [ + [ + 10332440397198436124, + 10287933791118848183 + ], + [ + 5519624074361425691, + 15925164989097583104 + ], + [ + 16043176506195118054, + 10428802965969288031 + ], + [ + 630910570684829470, + 5840551704082176332 + ], + [ + 16935899394240949564, + 3436633683092145010 + ], + [ + 15378969035139175540, + 5482923766799713032 + ], + [ + 10436564059781606171, + 11293902371539089074 + ], + [ + 9582254543603980968, + 17304402561699764393 + ], + [ + 3558916803225262067, + 15382453260931917645 + ], + [ + 2025577751182021239, + 14181561252424588235 + ], + [ + 1576827162416636077, + 17234301231274295616 + ], + [ + 8563226425506106831, + 2102554651984282975 + ], + [ + 1696226175515475053, + 9717319624919592662 + ], + [ + 12208510458181122116, + 11362220586831751029 + ], + [ + 15276425560717756336, + 15195887561878022399 + ], + [ + 6701492096245251292, + 10817566677494660148 + ], + [ + 18226843620693810512, + 7151651698888714510 + ], + [ + 13436681007996226357, + 6032644279493338585 + ], + [ + 17257780163386166376, + 1975683114820659202 + ], + [ + 15839459871323195868, + 15764336212620330697 + ], + [ + 1433420134828042208, + 7590589713585604195 + ], + [ + 12651726251392964873, + 14945929818399313502 + ], + [ + 10229037461264949961, + 10479755175066473834 + ], + [ + 6835901793187329505, + 11192498105380729730 + ], + [ + 6686900995803159972, + 5171426189914994926 + ], + [ + 7876662917289021768, + 8078891435294984187 + ], + [ + 3500140120899427561, + 742088736944243786 + ], + [ + 9752823574720440240, + 10871946346514451369 + ], + [ + 14584506096884473151, + 14206168904994218785 + ], + [ + 16723104370147791231, + 5640404978316937213 + ], + [ + 17961860818135690996, + 1028574676912031940 + ], + [ + 10043910335003376459, + 2920948210213722565 + ] + ] + }, + "pow_witness": 3602879701057540852 + } + }, + "public_inputs": [] +} diff --git a/plonky2_verifier/data/recursive_step/verifier_only_circuit_data.json b/plonky2_verifier/data/recursive_step/verifier_only_circuit_data.json new file mode 100644 index 0000000..b5e5721 --- /dev/null +++ b/plonky2_verifier/data/recursive_step/verifier_only_circuit_data.json @@ -0,0 +1,140 @@ +{ + "constants_sigmas_cap": [ + { + "elements": [ + 11953454831364282697, + 1780640713616741507, + 9332530534753348552, + 17084282210745809382 + ] + }, + { + "elements": [ + 17758681460299977814, + 15435331084685806694, + 7766646160278036540, + 5345072798617230589 + ] + }, + { + "elements": [ + 8802797469535268068, + 3037505332513657608, + 16030922155257393390, + 13188886177244942097 + ] + }, + { + "elements": [ + 2357959411935908456, + 1458480601790550366, + 11949473050563493262, + 1836765554619785226 + ] + }, + { + "elements": [ + 17907165543584078363, + 9893605436382885449, + 6670152476736706784, + 562838117712837468 + ] + }, + { + "elements": [ + 5744223185797504102, + 13743400022410455956, + 6205029693922586080, + 15336463778776378871 + ] + }, + { + "elements": [ + 14723206064376829937, + 13180213430291675472, + 5411273601294455899, + 8840354110576908600 + ] + }, + { + "elements": [ + 10897208927347958232, + 2388900836403833331, + 13400951517389305038, + 2629935461033320568 + ] + }, + { + "elements": [ + 6382278241197748160, + 2864721123412042365, + 1383065474344220868, + 2692411485496850147 + ] + }, + { + "elements": [ + 4198408477591504932, + 8255926325330378434, + 14022111482748940978, + 8650742941998823647 + ] + }, + { + "elements": [ + 6235912550116348485, + 1591288015265630569, + 6942981485091244971, + 9620918527217246407 + ] + }, + { + "elements": [ + 8301265937387597891, + 13822840883914340904, + 13370707368391237777, + 15118584100319351289 + ] + }, + { + "elements": [ + 12805136189787682184, + 14515274878974073778, + 15431575651860817805, + 1563913167146652597 + ] + }, + { + "elements": [ + 6512639279406449383, + 15697846660972222282, + 5729086478860256848, + 1818341437677547274 + ] + }, + { + "elements": [ + 4116477618393991081, + 604123225308335767, + 459683656323372900, + 10069219213626177582 + ] + }, + { + "elements": [ + 7335240546348323257, + 12233386866476119728, + 4755043335297619337, + 2281707033870644336 + ] + } + ], + "circuit_digest": { + "elements": [ + 14321013545913480595, + 17038401155010977967, + 2998069758835997053, + 10198464630670001962 + ] + } +} diff --git a/plonky2_verifier/gate_test.go b/plonky2_verifier/gate_test.go new file mode 100644 index 0000000..c48e50c --- /dev/null +++ b/plonky2_verifier/gate_test.go @@ -0,0 +1,778 @@ +package plonky2_verifier + +import ( + "errors" + . "gnark-plonky2-verifier/field" + "testing" + + "github.com/consensys/gnark/frontend" + "github.com/consensys/gnark/test" +) + +// From recursive_step circuit +var localConstants = []QuadraticExtension{ + {NewFieldElement(1164933405384298079), NewFieldElement(7438400583921661370)}, + {NewFieldElement(13151230530771189075), NewFieldElement(13023721207846057894)}, + {NewFieldElement(3881971040049882570), NewFieldElement(16581297326342691797)}, + {NewFieldElement(5184944824742294361), NewFieldElement(4925002013441838394)}, + {NewFieldElement(13156856690013129271), NewFieldElement(11795766134230417198)}, +} + +var localWires = []QuadraticExtension{ + {NewFieldElement(10289971018233574142), NewFieldElement(4567684908222573778)}, + {NewFieldElement(11564178579868812087), NewFieldElement(4510091545046358953)}, + {NewFieldElement(2427374067806073277), NewFieldElement(6911441533263492425)}, + {NewFieldElement(7693977127287585254), NewFieldElement(9885192257977663560)}, + {NewFieldElement(4829743769894031521), NewFieldElement(1070322096310857911)}, + {NewFieldElement(841614584488095356), NewFieldElement(3266720090708573245)}, + {NewFieldElement(9335841732020668562), NewFieldElement(7959135654284183511)}, + {NewFieldElement(16824107175117300959), NewFieldElement(14823581113270528881)}, + {NewFieldElement(4989727169526686805), NewFieldElement(6246956987038299573)}, + {NewFieldElement(17410065909497815114), NewFieldElement(226319705525892670)}, + {NewFieldElement(4568933895769710275), NewFieldElement(6430695446169305195)}, + {NewFieldElement(8067075753959020505), NewFieldElement(6018662820882606998)}, + {NewFieldElement(9927277077277524164), NewFieldElement(12530942893897967446)}, + {NewFieldElement(404931240594605346), NewFieldElement(13956134990453188947)}, + {NewFieldElement(12279755093013597997), NewFieldElement(13891866662848929655)}, + {NewFieldElement(3995291408937855383), NewFieldElement(7649506537726031013)}, + {NewFieldElement(1975344541433284175), NewFieldElement(11787783246524974192)}, + {NewFieldElement(9352725388265956899), NewFieldElement(1878641993746760905)}, + {NewFieldElement(4386025806925594020), NewFieldElement(7199468962263347888)}, + {NewFieldElement(457758515510439949), NewFieldElement(8295940174808817473)}, + {NewFieldElement(3721711968672629644), NewFieldElement(13268744315779792869)}, + {NewFieldElement(14873968601320376905), NewFieldElement(14469960382794471278)}, + {NewFieldElement(16643239035786323413), NewFieldElement(14266572255541493756)}, + {NewFieldElement(9756649839930289884), NewFieldElement(14084246204123262540)}, + {NewFieldElement(805087434192149117), NewFieldElement(5551650411462295908)}, + {NewFieldElement(3121050229008788536), NewFieldElement(315617444959225213)}, + {NewFieldElement(18164560008695666572), NewFieldElement(6915918288299894752)}, + {NewFieldElement(17656666988744688487), NewFieldElement(9787463123892858839)}, + {NewFieldElement(9992120570629943241), NewFieldElement(18182369503102252267)}, + {NewFieldElement(15220763248754170044), NewFieldElement(1854765527825350374)}, + {NewFieldElement(15616805521198580886), NewFieldElement(8948185005335797211)}, + {NewFieldElement(5104021995850318050), NewFieldElement(10884053699840350390)}, + {NewFieldElement(14387430073456386871), NewFieldElement(3987323970221931246)}, + {NewFieldElement(9295222033249226038), NewFieldElement(14533816739722288989)}, + {NewFieldElement(3054662272834320691), NewFieldElement(5799349468053737645)}, + {NewFieldElement(15410493100888282738), NewFieldElement(9030544573372043855)}, + {NewFieldElement(11448080360124361095), NewFieldElement(13429854637967689056)}, + {NewFieldElement(4779070979822400436), NewFieldElement(5404234368643419051)}, + {NewFieldElement(11659320767511898018), NewFieldElement(13702970547443564662)}, + {NewFieldElement(16340059712300851313), NewFieldElement(20171293486753699)}, + {NewFieldElement(1475826372470535678), NewFieldElement(1253469117109386509)}, + {NewFieldElement(7562163184139742598), NewFieldElement(14347739950500988111)}, + {NewFieldElement(15976520527988523610), NewFieldElement(17889280665602982933)}, + {NewFieldElement(8598539842276402160), NewFieldElement(2411306720494404310)}, + {NewFieldElement(15713704960139943242), NewFieldElement(16396602336341678687)}, + {NewFieldElement(7189190822731370344), NewFieldElement(5963822095937242833)}, + {NewFieldElement(5977752474999875040), NewFieldElement(5328103649776423975)}, + {NewFieldElement(12531991299101111394), NewFieldElement(3159886804356965397)}, + {NewFieldElement(16883082502877021850), NewFieldElement(4442238822519720348)}, + {NewFieldElement(4348679245531311390), NewFieldElement(6663472094175428592)}, + {NewFieldElement(7628612474113215133), NewFieldElement(9324555027165483004)}, + {NewFieldElement(1900695998785588032), NewFieldElement(12588745891116448183)}, + {NewFieldElement(2202928383842031597), NewFieldElement(2024867731300461655)}, + {NewFieldElement(9288136643086730543), NewFieldElement(4131544415785473139)}, + {NewFieldElement(14704106408467038509), NewFieldElement(8573856691828273)}, + {NewFieldElement(10154176515490297025), NewFieldElement(9220235036944332858)}, + {NewFieldElement(11339644645342271702), NewFieldElement(2591119884720569491)}, + {NewFieldElement(12952838693708363443), NewFieldElement(7634778748701478612)}, + {NewFieldElement(4151157005304656172), NewFieldElement(16778323503511515227)}, + {NewFieldElement(6326750425597671757), NewFieldElement(2556963653256638700)}, + {NewFieldElement(10167058989235599247), NewFieldElement(8755493046703376087)}, + {NewFieldElement(9610925836484089978), NewFieldElement(15994816336634155710)}, + {NewFieldElement(4153283843312210367), NewFieldElement(14936117891656525941)}, + {NewFieldElement(2708678512120193106), NewFieldElement(13963185898630435716)}, + {NewFieldElement(6555777227864205496), NewFieldElement(796547906377203466)}, + {NewFieldElement(9137905566620576524), NewFieldElement(5424975077133394401)}, + {NewFieldElement(10344710254569827655), NewFieldElement(5782463375043965385)}, + {NewFieldElement(5971898539021849982), NewFieldElement(8119512366912747083)}, + {NewFieldElement(10858355567899666102), NewFieldElement(18000616751093068478)}, + {NewFieldElement(16920330711313364238), NewFieldElement(8697067496869918100)}, + {NewFieldElement(7000103501288736536), NewFieldElement(10889037926963847627)}, + {NewFieldElement(2293930382336564785), NewFieldElement(1991911172589808532)}, + {NewFieldElement(16325792322333215740), NewFieldElement(10408910622457883954)}, + {NewFieldElement(7503118294246863546), NewFieldElement(3698311130768729720)}, + {NewFieldElement(8086040183115185263), NewFieldElement(5047183760990874466)}, + {NewFieldElement(9862182807054696027), NewFieldElement(1177341139111149965)}, + {NewFieldElement(16001172854107018622), NewFieldElement(10666261425617835543)}, + {NewFieldElement(5580184714347609844), NewFieldElement(12694115766192868759)}, + {NewFieldElement(18281558831138544975), NewFieldElement(3361626347282823513)}, + {NewFieldElement(3031997905089686532), NewFieldElement(15324883672435732043)}, + {NewFieldElement(450952121891526527), NewFieldElement(3760645720813651878)}, + {NewFieldElement(12802993704800176346), NewFieldElement(5762382859373230998)}, + {NewFieldElement(3276893202573968613), NewFieldElement(1800240087286854287)}, + {NewFieldElement(5921423446901282771), NewFieldElement(1701259673949139858)}, + {NewFieldElement(9599792256793291230), NewFieldElement(14953029539933413769)}, + {NewFieldElement(6924230983683680937), NewFieldElement(11341266871925411757)}, + {NewFieldElement(7369845262101528427), NewFieldElement(14511942995651504957)}, + {NewFieldElement(3575537879709813183), NewFieldElement(8500642062708926725)}, + {NewFieldElement(4175897998808440429), NewFieldElement(3374384071922541929)}, + {NewFieldElement(12757283027846003446), NewFieldElement(17905830097386863938)}, + {NewFieldElement(6320876143845688240), NewFieldElement(11931531275984972701)}, + {NewFieldElement(18217933064159243751), NewFieldElement(10071176713368801471)}, + {NewFieldElement(4777714881679002884), NewFieldElement(11864655235286620829)}, + {NewFieldElement(5051586433049660820), NewFieldElement(9706334979530647226)}, + {NewFieldElement(10142518025690185130), NewFieldElement(11625111857426302867)}, + {NewFieldElement(12942439955200094763), NewFieldElement(12974281474830386034)}, + {NewFieldElement(12714064210006754841), NewFieldElement(10541770037347437502)}, + {NewFieldElement(10048643184275048639), NewFieldElement(3986690477062097502)}, + {NewFieldElement(1705165528883143091), NewFieldElement(15274852618321664478)}, + {NewFieldElement(7505339430009963451), NewFieldElement(15833594687115464439)}, + {NewFieldElement(14969085142351848679), NewFieldElement(1313378114647584372)}, + {NewFieldElement(13860248504174697653), NewFieldElement(11813005399232850289)}, + {NewFieldElement(251943684565772115), NewFieldElement(7573719044708266257)}, + {NewFieldElement(3106490314923518751), NewFieldElement(6708785325259176544)}, + {NewFieldElement(16356137633407478618), NewFieldElement(10204772059332988569)}, + {NewFieldElement(6854820980459043959), NewFieldElement(15547517301904265885)}, + {NewFieldElement(11272546272005349344), NewFieldElement(13048057766361438654)}, + {NewFieldElement(1292326010164513793), NewFieldElement(3884499312974286465)}, + {NewFieldElement(13766861546348177296), NewFieldElement(16189793227494584882)}, + {NewFieldElement(17409073821234659314), NewFieldElement(9981103842753464857)}, + {NewFieldElement(9704863891305672730), NewFieldElement(6734589298170331622)}, + {NewFieldElement(12730115352516859625), NewFieldElement(7184752625986384624)}, + {NewFieldElement(11668345947294231238), NewFieldElement(16115042113565080691)}, + {NewFieldElement(14062084624592649794), NewFieldElement(2756332865729973692)}, + {NewFieldElement(3748768277402965633), NewFieldElement(16866814743891506413)}, + {NewFieldElement(10432481590948249422), NewFieldElement(16082227217718892532)}, + {NewFieldElement(491495918184990934), NewFieldElement(6356796615401236136)}, + {NewFieldElement(17901902629808882123), NewFieldElement(13514738065473981771)}, + {NewFieldElement(12660442011781098101), NewFieldElement(6869178288883388452)}, + {NewFieldElement(4393627135520874514), NewFieldElement(18356603129965580261)}, + {NewFieldElement(677707009508889751), NewFieldElement(12680875774839515608)}, + {NewFieldElement(10378933644525583340), NewFieldElement(13309450528739048419)}, + {NewFieldElement(17340442394158194152), NewFieldElement(2264038306172498436)}, + {NewFieldElement(3370239755875426470), NewFieldElement(16608802578078035004)}, + {NewFieldElement(10934853199725686361), NewFieldElement(16013313141655891901)}, + {NewFieldElement(13594205540632772459), NewFieldElement(2004743885124905326)}, + {NewFieldElement(2746704624744404227), NewFieldElement(16776409524391586509)}, + {NewFieldElement(3958873682280414366), NewFieldElement(1600073271711289868)}, + {NewFieldElement(2428249869256780385), NewFieldElement(4540186883415041033)}, + {NewFieldElement(11471613891518396403), NewFieldElement(12378090703999608437)}, + {NewFieldElement(2473054093631985558), NewFieldElement(6016173170699559864)}, + {NewFieldElement(5753078745189531749), NewFieldElement(7917608537613216175)}, + {NewFieldElement(8855440271433298214), NewFieldElement(16093723431433530090)}, + {NewFieldElement(18386320557740714138), NewFieldElement(8240697133069742104)}, + {NewFieldElement(15199992048380262587), NewFieldElement(2301519535136472331)}, + {NewFieldElement(5102771513133979026), NewFieldElement(12570336536575987923)}, +} + +var publicInputsHash = Hash{ZERO_F, ZERO_F, ZERO_F, ZERO_F} + +var publicInputGateExpectedConstraints = []QuadraticExtension{ + {NewFieldElement(10289971018233574142), NewFieldElement(4567684908222573778)}, + {NewFieldElement(11564178579868812087), NewFieldElement(4510091545046358953)}, + {NewFieldElement(2427374067806073277), NewFieldElement(6911441533263492425)}, + {NewFieldElement(7693977127287585254), NewFieldElement(9885192257977663560)}, +} + +// BaseSumGate { num_limbs: 63 }), (Base: 2) +var baseSumGateExpectedConstraints = []QuadraticExtension{ + {NewFieldElement(11424008506420489027), NewFieldElement(2915141729320103909)}, + {NewFieldElement(990850510351998129), NewFieldElement(10775195787959069600)}, + {NewFieldElement(6614688617813304624), NewFieldElement(11090441606706959264)}, + {NewFieldElement(17750388994193092499), NewFieldElement(9822716613211085052)}, + {NewFieldElement(15668686535963465292), NewFieldElement(5860790519230132950)}, + {NewFieldElement(9301693563861638036), NewFieldElement(5759072521542705927)}, + {NewFieldElement(1463677617048504116), NewFieldElement(657088188145156737)}, + {NewFieldElement(11221326157331101168), NewFieldElement(3258353713560294154)}, + {NewFieldElement(6298170343528505052), NewFieldElement(1515404430931450244)}, + {NewFieldElement(10609142393996097059), NewFieldElement(5676353771077187085)}, + {NewFieldElement(15377741222281320), NewFieldElement(17210062473996670458)}, + {NewFieldElement(16623098697475668629), NewFieldElement(16010660943931470875)}, + {NewFieldElement(13742463434921610007), NewFieldElement(11069510319782271171)}, + {NewFieldElement(14872905802739821087), NewFieldElement(16577474870939262513)}, + {NewFieldElement(15699671366929256655), NewFieldElement(15598194197245819873)}, + {NewFieldElement(10679123900573339697), NewFieldElement(10228522398312889861)}, + {NewFieldElement(8872281223292031801), NewFieldElement(1329834573379055460)}, + {NewFieldElement(2535224613123191755), NewFieldElement(12786291812393663221)}, + {NewFieldElement(17788228910394641125), NewFieldElement(5545904820430114370)}, + {NewFieldElement(10489817294122939391), NewFieldElement(14636352222428121923)}, + {NewFieldElement(10852238020744398528), NewFieldElement(2312796082809010853)}, + {NewFieldElement(5067875522341132442), NewFieldElement(2107737958122288286)}, + {NewFieldElement(17283146688878926257), NewFieldElement(8456549639899437925)}, + {NewFieldElement(10637171512256553781), NewFieldElement(6390530901963054085)}, + {NewFieldElement(7586090218847390134), NewFieldElement(13687926314033375459)}, + {NewFieldElement(9523662200490053374), NewFieldElement(13361040406642218763)}, + {NewFieldElement(634822311162237689), NewFieldElement(9630483174624222223)}, + {NewFieldElement(15242934013445465604), NewFieldElement(1135488709061427932)}, + {NewFieldElement(10311174951052257420), NewFieldElement(524968500387403585)}, + {NewFieldElement(6646751050961926593), NewFieldElement(8684017064299024213)}, + {NewFieldElement(16629184374162391253), NewFieldElement(13745216788879851113)}, + {NewFieldElement(15725765914323741961), NewFieldElement(4607182206571650287)}, + {NewFieldElement(4905637093691966606), NewFieldElement(218562275165442331)}, + {NewFieldElement(15526612325511973871), NewFieldElement(5770955229659050735)}, + {NewFieldElement(9591223869277908917), NewFieldElement(1518900007157334701)}, + {NewFieldElement(14713177841944866109), NewFieldElement(16661134545564989407)}, + {NewFieldElement(4236602876840371235), NewFieldElement(12185730046300426061)}, + {NewFieldElement(14844502873470690827), NewFieldElement(5567680392033564858)}, + {NewFieldElement(5550472614893629959), NewFieldElement(17955875404530787722)}, + {NewFieldElement(9965647340229188622), NewFieldElement(12067752288619191155)}, + {NewFieldElement(15624184226617424434), NewFieldElement(13522086059807517857)}, + {NewFieldElement(6001948917737119729), NewFieldElement(10555349705067997421)}, + {NewFieldElement(7967852853408273634), NewFieldElement(16393445105337145265)}, + {NewFieldElement(13601491066758079307), NewFieldElement(11390709918813075818)}, + {NewFieldElement(5704706916270196865), NewFieldElement(17007264058732032659)}, + {NewFieldElement(18354610167186324196), NewFieldElement(16917152819910011122)}, + {NewFieldElement(6026824824087688959), NewFieldElement(11547555659280958524)}, + {NewFieldElement(15645938871784252821), NewFieldElement(12381341093764170444)}, + {NewFieldElement(1202470274460413029), NewFieldElement(3583599940021118482)}, + {NewFieldElement(5248479930891455774), NewFieldElement(2393692482194449448)}, + {NewFieldElement(13386434971986911647), NewFieldElement(12326376082602154018)}, + {NewFieldElement(11327299405009394635), NewFieldElement(7538844592867989882)}, + {NewFieldElement(7984839537656677309), NewFieldElement(6441274039505923023)}, + {NewFieldElement(3942932013374375924), NewFieldElement(6548354659360045418)}, + {NewFieldElement(10139699962065730425), NewFieldElement(16908585391181627242)}, + {NewFieldElement(18094104343668325187), NewFieldElement(8370083050741645827)}, + {NewFieldElement(12131340922292526267), NewFieldElement(17299488555769517106)}, + {NewFieldElement(11470330746430670818), NewFieldElement(15960507373360402879)}, + {NewFieldElement(386512699105836065), NewFieldElement(8986007306829996238)}, + {NewFieldElement(1834598616243509000), NewFieldElement(14626792908408543748)}, + {NewFieldElement(17890037858181404101), NewFieldElement(17018218424290394313)}, + {NewFieldElement(11758664078194540174), NewFieldElement(16603941107284246147)}, + {NewFieldElement(14022184733842887279), NewFieldElement(13741139908708752348)}, + {NewFieldElement(4836630213324422487), NewFieldElement(222498232493222193)}, +} + +// ArithmeticGate { num_ops: 20 } +var arithmeticGateExpectedConstraints = []QuadraticExtension{ + {NewFieldElement(12119614175182896132), NewFieldElement(9100747776469133669)}, + {NewFieldElement(1435113994507051493), NewFieldElement(16937897191584383857)}, + {NewFieldElement(51616472710099652), NewFieldElement(4146295929435411488)}, + {NewFieldElement(92237181388579392), NewFieldElement(12824787281527009080)}, + {NewFieldElement(11063958613047368831), NewFieldElement(516751095582253219)}, + {NewFieldElement(8881502495740733965), NewFieldElement(5405782271334426100)}, + {NewFieldElement(9646745645960524278), NewFieldElement(6323317609176095073)}, + {NewFieldElement(10334354202446659881), NewFieldElement(17865166204439996809)}, + {NewFieldElement(9511789862027881130), NewFieldElement(17897392861017078901)}, + {NewFieldElement(4686618214331097217), NewFieldElement(7102232698145277151)}, + {NewFieldElement(5140381642477065044), NewFieldElement(15554316144351441473)}, + {NewFieldElement(14252043934312871974), NewFieldElement(1198292921407928539)}, + {NewFieldElement(13289413398237564138), NewFieldElement(15704998539419457452)}, + {NewFieldElement(4800979510155331538), NewFieldElement(14057404157182035427)}, + {NewFieldElement(17908028924715246889), NewFieldElement(8716376706845369224)}, + {NewFieldElement(3226678693544038862), NewFieldElement(5577680088492344738)}, + {NewFieldElement(10987852156126930017), NewFieldElement(16323667584216755558)}, + {NewFieldElement(5135981108938961064), NewFieldElement(6684115991562770960)}, + {NewFieldElement(8519638889718596339), NewFieldElement(7662028578892995756)}, + {NewFieldElement(7747323897933750795), NewFieldElement(6872730347313691927)}, +} + +// RandomAccessGate { bits: 4, num_copies: 4, num_extra_constants: 2, _phantom: PhantomData } +var randomAccessGateExpectedConstraints = []QuadraticExtension{ + {NewFieldElement(2891299230460455680), NewFieldElement(12638923114586787038)}, + {NewFieldElement(10369791235277272383), NewFieldElement(11178254747952182382)}, + {NewFieldElement(2609100974341658152), NewFieldElement(7141157629969452340)}, + {NewFieldElement(10885639242129231953), NewFieldElement(10224819739496777877)}, + {NewFieldElement(15486139493712450489), NewFieldElement(17924944477102802615)}, + {NewFieldElement(5969758517166950176), NewFieldElement(4139464862931677318)}, + {NewFieldElement(7251510967440451429), NewFieldElement(11634060506931912043)}, + {NewFieldElement(581371472896562405), NewFieldElement(1340263685452848185)}, + {NewFieldElement(11876289968532354241), NewFieldElement(39606365246086104)}, + {NewFieldElement(17037991399414168046), NewFieldElement(9356315359108087151)}, + {NewFieldElement(13506822543872334969), NewFieldElement(14166594210473057923)}, + {NewFieldElement(530968584207084639), NewFieldElement(12346975065647187607)}, + {NewFieldElement(8780439534301283756), NewFieldElement(14250307971393105395)}, + {NewFieldElement(5955166439403627952), NewFieldElement(427818832806268253)}, + {NewFieldElement(10383473532295208089), NewFieldElement(10834018170496866410)}, + {NewFieldElement(17770159895239813531), NewFieldElement(3803908573438301448)}, + {NewFieldElement(5230956285821863871), NewFieldElement(13187949446452303832)}, + {NewFieldElement(4082775007574051589), NewFieldElement(17608951079871259588)}, + {NewFieldElement(15832332042406144153), NewFieldElement(9112933169473505864)}, + {NewFieldElement(17289713569232165217), NewFieldElement(764355564171754371)}, + {NewFieldElement(11875388597093781742), NewFieldElement(17390337221018798452)}, + {NewFieldElement(14723779398624676305), NewFieldElement(4351422752569601515)}, + {NewFieldElement(7898206414568399642), NewFieldElement(3781389637016766144)}, + {NewFieldElement(10959059343195760030), NewFieldElement(17524903422154932359)}, + {NewFieldElement(7305896571823662942), NewFieldElement(12962835460398538761)}, + {NewFieldElement(5653738395766265725), NewFieldElement(8097455003461687478)}, +} + +// PoseidonGate(PhantomData) +var poseidonGateExpectedConstraints = []QuadraticExtension{ + {NewFieldElement(7586090218847390134), NewFieldElement(13687926314033375459)}, + {NewFieldElement(10774680496478357997), NewFieldElement(14419929234728022600)}, + {NewFieldElement(983485807903636414), NewFieldElement(3028876395437704592)}, + {NewFieldElement(5873163034459252869), NewFieldElement(11720300428168955402)}, + {NewFieldElement(16261775977438390033), NewFieldElement(15598817592005081227)}, + {NewFieldElement(3308439339359285309), NewFieldElement(16350160944703138332)}, + {NewFieldElement(2477915029208949035), NewFieldElement(10909058342937234971)}, + {NewFieldElement(2006101431747008114), NewFieldElement(1317396811566929515)}, + {NewFieldElement(5743380333218483835), NewFieldElement(9864892326580372485)}, + {NewFieldElement(4343047746155696133), NewFieldElement(2452956674303649004)}, + {NewFieldElement(18237771591472199486), NewFieldElement(9201720967486340889)}, + {NewFieldElement(7997743545022954538), NewFieldElement(5790905224346459337)}, + {NewFieldElement(7270313259765139533), NewFieldElement(13664497978956485388)}, + {NewFieldElement(11627392666242516567), NewFieldElement(6707531853885096654)}, + {NewFieldElement(14108041676779390728), NewFieldElement(13890317640467961363)}, + {NewFieldElement(10461937206408578346), NewFieldElement(16929842020525911045)}, + {NewFieldElement(14163490001894639417), NewFieldElement(6486250350832733344)}, + {NewFieldElement(6025822272051423893), NewFieldElement(6875599327185319749)}, + {NewFieldElement(11800406778761598568), NewFieldElement(13445736562420900345)}, + {NewFieldElement(8721632296347252438), NewFieldElement(15861696011210243831)}, + {NewFieldElement(13862698645551446166), NewFieldElement(10895802231885823011)}, + {NewFieldElement(9467131299943023152), NewFieldElement(508610840287781764)}, + {NewFieldElement(10369576299876905473), NewFieldElement(1319089684709412204)}, + {NewFieldElement(17202741125808968481), NewFieldElement(4132975454251812345)}, + {NewFieldElement(4939406044782203142), NewFieldElement(18100435685377738067)}, + {NewFieldElement(2662601992953696766), NewFieldElement(5356898997486457355)}, + {NewFieldElement(12240740991568526347), NewFieldElement(14183052793978601368)}, + {NewFieldElement(17267799754824241908), NewFieldElement(15067892579134674951)}, + {NewFieldElement(3885637219153712510), NewFieldElement(2045928245539296545)}, + {NewFieldElement(7614199998298216925), NewFieldElement(13135807303144108264)}, + {NewFieldElement(12232208765790877245), NewFieldElement(6790391920585566719)}, + {NewFieldElement(14027621788671850076), NewFieldElement(8244116705079721069)}, + {NewFieldElement(18361849947075265980), NewFieldElement(636640170174188211)}, + {NewFieldElement(15400723839777269850), NewFieldElement(7187627113110641974)}, + {NewFieldElement(11208418886499216060), NewFieldElement(1068905181682993370)}, + {NewFieldElement(8741978871712571992), NewFieldElement(11893984108008599655)}, + {NewFieldElement(5904231306484990036), NewFieldElement(10974042651195177783)}, + {NewFieldElement(12306264278608747297), NewFieldElement(6054935933756948006)}, + {NewFieldElement(4439661353730067518), NewFieldElement(13536513851562309841)}, + {NewFieldElement(13020734370698999772), NewFieldElement(163773705062531020)}, + {NewFieldElement(10365756846699668634), NewFieldElement(5245413619357449)}, + {NewFieldElement(15929862436085820709), NewFieldElement(10957910821863876318)}, + {NewFieldElement(977018799724983158), NewFieldElement(15040949766668867994)}, + {NewFieldElement(2993125862244950582), NewFieldElement(13234404554976574543)}, + {NewFieldElement(14122201262568632993), NewFieldElement(93763383340088526)}, + {NewFieldElement(8975477202804925208), NewFieldElement(1040893022864763499)}, + {NewFieldElement(7725813871064262870), NewFieldElement(14455479145922718826)}, + {NewFieldElement(1073062170185630790), NewFieldElement(16407856079088655345)}, + {NewFieldElement(17737117878818849535), NewFieldElement(1900599912944642061)}, + {NewFieldElement(12256168642879070567), NewFieldElement(8539769760609459864)}, + {NewFieldElement(15141228232285134803), NewFieldElement(897120225935075003)}, + {NewFieldElement(3388596123376728329), NewFieldElement(5128230734992475590)}, + {NewFieldElement(8733319491992764673), NewFieldElement(1928863683866117576)}, + {NewFieldElement(5203485787146767490), NewFieldElement(12954094447445057610)}, + {NewFieldElement(5201734155949618873), NewFieldElement(3995115267673262244)}, + {NewFieldElement(8666839426855174616), NewFieldElement(3659748522909014185)}, + {NewFieldElement(9240426493517714121), NewFieldElement(12895319645103780590)}, + {NewFieldElement(10104523192405168095), NewFieldElement(8335084014759232790)}, + {NewFieldElement(12471660706832322357), NewFieldElement(16692471091408210242)}, + {NewFieldElement(7713567301004647325), NewFieldElement(2346765742178693341)}, + {NewFieldElement(5087966313974874861), NewFieldElement(17995538175842083522)}, + {NewFieldElement(1103485120645095922), NewFieldElement(17358959631107792889)}, + {NewFieldElement(16443030134912318512), NewFieldElement(4694929981527462915)}, + {NewFieldElement(5229836547906072694), NewFieldElement(10529861755371621018)}, + {NewFieldElement(17706463046886551260), NewFieldElement(7014625543777947259)}, + {NewFieldElement(17494246083650429806), NewFieldElement(10059232320812188522)}, + {NewFieldElement(6009623857477500128), NewFieldElement(9041821915077023327)}, + {NewFieldElement(15414837134646072506), NewFieldElement(17735866267331281406)}, + {NewFieldElement(9582418254228040565), NewFieldElement(9475780400052940525)}, + {NewFieldElement(3850010214259020229), NewFieldElement(2344916032711572881)}, + {NewFieldElement(3276478492985700631), NewFieldElement(9347511148183965796)}, + {NewFieldElement(4260955157349956538), NewFieldElement(3737557221553060525)}, + {NewFieldElement(1814028760671441115), NewFieldElement(1709540851509897224)}, + {NewFieldElement(304220870213251471), NewFieldElement(18339319635968408171)}, + {NewFieldElement(6309601903165399081), NewFieldElement(4611660338915358676)}, + {NewFieldElement(5440836432197140901), NewFieldElement(835184832962669050)}, + {NewFieldElement(4132483007111889331), NewFieldElement(17679464861654166329)}, + {NewFieldElement(12071698679631585615), NewFieldElement(3526806430507304767)}, + {NewFieldElement(16570124099871162516), NewFieldElement(16394949299416922104)}, + {NewFieldElement(11779301434103087470), NewFieldElement(9928702854994401626)}, + {NewFieldElement(486097273023099818), NewFieldElement(1666631222233964241)}, + {NewFieldElement(13426511095962901265), NewFieldElement(16977352762229561063)}, + {NewFieldElement(7848259968166982335), NewFieldElement(8923641610835432771)}, + {NewFieldElement(6717523783985825261), NewFieldElement(8442698012198213832)}, + {NewFieldElement(16551829854897630528), NewFieldElement(1207332518477764340)}, + {NewFieldElement(9552262459546034571), NewFieldElement(4701791517562735608)}, + {NewFieldElement(6527201331407091692), NewFieldElement(10762913938781033944)}, + {NewFieldElement(11212416663128404375), NewFieldElement(6847749339754298086)}, + {NewFieldElement(10791247438031342492), NewFieldElement(3448715099533950037)}, + {NewFieldElement(1719220253088662156), NewFieldElement(15702968714187742357)}, + {NewFieldElement(14008817631758138024), NewFieldElement(17297897981954620228)}, + {NewFieldElement(7768014097976613936), NewFieldElement(15806402621409309279)}, + {NewFieldElement(3886721256453659755), NewFieldElement(16395869594056206627)}, + {NewFieldElement(13997073954856864246), NewFieldElement(1233051863712529371)}, + {NewFieldElement(11334349192463912274), NewFieldElement(5454820034730801470)}, + {NewFieldElement(7648426950649263998), NewFieldElement(9412547620105462810)}, + {NewFieldElement(2869115266070242006), NewFieldElement(9873001547032180059)}, + {NewFieldElement(11864269740491424738), NewFieldElement(3771973823544233765)}, + {NewFieldElement(9374340554044631499), NewFieldElement(11414175937704649426)}, + {NewFieldElement(8970748854700874383), NewFieldElement(2703579039677419011)}, + {NewFieldElement(3743841601176432106), NewFieldElement(11043980835019875782)}, + {NewFieldElement(1654705359096618107), NewFieldElement(4374088811382131752)}, + {NewFieldElement(10209435051454821145), NewFieldElement(4087979231575661143)}, + {NewFieldElement(9566392584670645438), NewFieldElement(5102479111558561813)}, + {NewFieldElement(4542214823227660682), NewFieldElement(16447152846983873546)}, + {NewFieldElement(3619667706484141693), NewFieldElement(3976495805371636999)}, + {NewFieldElement(14677559952589127978), NewFieldElement(1506330427474903904)}, + {NewFieldElement(9618330319963013853), NewFieldElement(7774314641304317232)}, + {NewFieldElement(15136595569611237026), NewFieldElement(6241976546079100101)}, + {NewFieldElement(6190131967820348937), NewFieldElement(8898314655028146727)}, + {NewFieldElement(10664902807329902141), NewFieldElement(399679411582475270)}, + {NewFieldElement(4620231951016842028), NewFieldElement(14227502135369964656)}, + {NewFieldElement(14442830168084065060), NewFieldElement(18194643570654368962)}, + {NewFieldElement(6026772169794354979), NewFieldElement(15538586941211648185)}, + {NewFieldElement(3305763071851691617), NewFieldElement(7414963068017211970)}, + {NewFieldElement(2348819716102409971), NewFieldElement(3414253607649082297)}, + {NewFieldElement(5561613987159516190), NewFieldElement(18108137586585031915)}, + {NewFieldElement(11622858756456645517), NewFieldElement(5481788959889711288)}, + {NewFieldElement(14329441999576805903), NewFieldElement(7316385947805485474)}, + {NewFieldElement(6619906970666076294), NewFieldElement(11606453814479815487)}, + {NewFieldElement(273184393202580706), NewFieldElement(15538333835729971074)}, + {NewFieldElement(16891566794426605557), NewFieldElement(432853148035369520)}, + {NewFieldElement(3134481789780853760), NewFieldElement(10023938129020275945)}, +} + +// ReducingExtensionGate { num_coeffs: 33 } +var reducingExtensionGateExpectedConstraints = []QuadraticExtension{ + {NewFieldElement(12512260201049243975), NewFieldElement(5104620179714279781)}, + {NewFieldElement(13013016297591764071), NewFieldElement(3905565448987160512)}, + {NewFieldElement(18168316387479509651), NewFieldElement(15285510648877030958)}, + {NewFieldElement(2704136035168106924), NewFieldElement(17701154289967205509)}, + {NewFieldElement(6350634844525158810), NewFieldElement(6841530668953763541)}, + {NewFieldElement(14558428225759052231), NewFieldElement(6228114011555775975)}, + {NewFieldElement(11984059988070020226), NewFieldElement(6404501976404464308)}, + {NewFieldElement(7499833675686066082), NewFieldElement(13203954482927844021)}, + {NewFieldElement(53729277296365862), NewFieldElement(11604944835579274791)}, + {NewFieldElement(649276793194856338), NewFieldElement(15769159485820654298)}, + {NewFieldElement(7220059241713171194), NewFieldElement(7593947467996717503)}, + {NewFieldElement(11725388872832717991), NewFieldElement(2472966042937251891)}, + {NewFieldElement(17103067711705259268), NewFieldElement(12741737218458998807)}, + {NewFieldElement(2053029714235535081), NewFieldElement(5621084618445985853)}, + {NewFieldElement(394074652594148954), NewFieldElement(14480160107167739683)}, + {NewFieldElement(16319639492172307693), NewFieldElement(18262596047016856354)}, + {NewFieldElement(7349401242823131130), NewFieldElement(16637643780538375248)}, + {NewFieldElement(2968776512542894745), NewFieldElement(7967382686110631950)}, + {NewFieldElement(4131567287142440211), NewFieldElement(16488573781037653146)}, + {NewFieldElement(3210618110340609396), NewFieldElement(15575562053796139855)}, + {NewFieldElement(866179987510198517), NewFieldElement(1621207644178469397)}, + {NewFieldElement(13787839347867512750), NewFieldElement(5082451965770365331)}, + {NewFieldElement(16727747831341625951), NewFieldElement(17003066965000183599)}, + {NewFieldElement(5844378810576570680), NewFieldElement(7917389141334353441)}, + {NewFieldElement(2806785896842529320), NewFieldElement(2418902247526900913)}, + {NewFieldElement(16911660151499877134), NewFieldElement(12021165187528883860)}, + {NewFieldElement(17281860563566587308), NewFieldElement(907492056629373413)}, + {NewFieldElement(2149753706739034128), NewFieldElement(12371022473774589200)}, + {NewFieldElement(7841056796552151745), NewFieldElement(3143088841967149638)}, + {NewFieldElement(11915031067231681577), NewFieldElement(18108223564563708813)}, + {NewFieldElement(2094314575212662773), NewFieldElement(188561272841399737)}, + {NewFieldElement(16712479120741377751), NewFieldElement(13153292267876520211)}, + {NewFieldElement(11528911604171979726), NewFieldElement(889050185568489714)}, + {NewFieldElement(13117878881472895975), NewFieldElement(2608864599443833112)}, + {NewFieldElement(310976139454954605), NewFieldElement(271726012479588385)}, + {NewFieldElement(4724981023605656141), NewFieldElement(7786903198345013664)}, + {NewFieldElement(7358470379588594806), NewFieldElement(5500290420069122896)}, + {NewFieldElement(11249736961064437940), NewFieldElement(7500992311029866319)}, + {NewFieldElement(16247982877846154545), NewFieldElement(18437922661172982146)}, + {NewFieldElement(14828806288276948771), NewFieldElement(161861918745757497)}, + {NewFieldElement(12207866405175784678), NewFieldElement(17882395070256177480)}, + {NewFieldElement(1862300191557939305), NewFieldElement(12946149812989300425)}, + {NewFieldElement(113183958399514852), NewFieldElement(6003153612730483196)}, + {NewFieldElement(17112839880895845290), NewFieldElement(3628345828628316007)}, + {NewFieldElement(8779978792406228661), NewFieldElement(11992923889396921201)}, + {NewFieldElement(6179077038148294340), NewFieldElement(11713998999910876710)}, + {NewFieldElement(13454002959297605186), NewFieldElement(2204743745696912515)}, + {NewFieldElement(15623020893752344305), NewFieldElement(13749522681861530980)}, + {NewFieldElement(6206230970377487041), NewFieldElement(16389331421791613953)}, + {NewFieldElement(2425462828014799977), NewFieldElement(1558769431852532736)}, + {NewFieldElement(2327926263345738065), NewFieldElement(8779034796068602190)}, + {NewFieldElement(14563770135458078041), NewFieldElement(6494115966350812505)}, + {NewFieldElement(8082502921781233722), NewFieldElement(7935499582140944140)}, + {NewFieldElement(14539277379887693704), NewFieldElement(5161629331161118775)}, + {NewFieldElement(13736527598285458228), NewFieldElement(7309962536813433388)}, + {NewFieldElement(13933813405709515396), NewFieldElement(17798686485131016236)}, + {NewFieldElement(8897530535975229493), NewFieldElement(14404791097089986313)}, + {NewFieldElement(18088311324021484864), NewFieldElement(11991882587468162630)}, + {NewFieldElement(8956488301372897339), NewFieldElement(8045253716620738816)}, + {NewFieldElement(16016384501418916541), NewFieldElement(3181272893128323084)}, + {NewFieldElement(2517080075900745791), NewFieldElement(18241855168616334247)}, + {NewFieldElement(17868385271737172979), NewFieldElement(3149251797904840387)}, + {NewFieldElement(16240211689398081741), NewFieldElement(12595579002758809850)}, + {NewFieldElement(15129425055871583477), NewFieldElement(16556688233744925655)}, + {NewFieldElement(12118068802024437752), NewFieldElement(1415394251822514067)}, + {NewFieldElement(9998982344935417389), NewFieldElement(1388414311221312252)}, +} + +// ReducingGate { num_coeffs: 44 } +var reducingGateExpectedConstraints = []QuadraticExtension{ + {NewFieldElement(2762695979854660261), NewFieldElement(6188975775006680731)}, + {NewFieldElement(1791331417935738626), NewFieldElement(17085037714198081810)}, + {NewFieldElement(2937679508710033736), NewFieldElement(5129621779087684534)}, + {NewFieldElement(481168721643876637), NewFieldElement(7141872137498120988)}, + {NewFieldElement(17254181100047942156), NewFieldElement(17775174281554210440)}, + {NewFieldElement(5198890470471443302), NewFieldElement(14888425516661975457)}, + {NewFieldElement(13028786198899252632), NewFieldElement(10937447292538980197)}, + {NewFieldElement(2265158031754703100), NewFieldElement(12577502307628934155)}, + {NewFieldElement(15551968276096003032), NewFieldElement(15292448269321193280)}, + {NewFieldElement(17365969756658867370), NewFieldElement(17369305944822545977)}, + {NewFieldElement(7080686817257839256), NewFieldElement(593963095520237279)}, + {NewFieldElement(9676311908112124362), NewFieldElement(15674622921902422959)}, + {NewFieldElement(11251136116732324348), NewFieldElement(18440217803596221468)}, + {NewFieldElement(3735056268905622852), NewFieldElement(13863980656029437128)}, + {NewFieldElement(8027041826265159623), NewFieldElement(11754189465873578671)}, + {NewFieldElement(17583392801264300641), NewFieldElement(6466906893845676112)}, + {NewFieldElement(10453982665201242303), NewFieldElement(10957427537661178463)}, + {NewFieldElement(8008073576872573103), NewFieldElement(15936946455243860971)}, + {NewFieldElement(10779255795330506743), NewFieldElement(1425676337306283564)}, + {NewFieldElement(13500038741878953694), NewFieldElement(5693690628820948906)}, + {NewFieldElement(6987584139748553407), NewFieldElement(4433192799815624764)}, + {NewFieldElement(3618013197373611562), NewFieldElement(15641412670596115335)}, + {NewFieldElement(4523765518023087797), NewFieldElement(5497960888090896635)}, + {NewFieldElement(8750545727419259671), NewFieldElement(17422860419602722677)}, + {NewFieldElement(17564615024878416866), NewFieldElement(16238022624102079273)}, + {NewFieldElement(3740814195084876131), NewFieldElement(17474834584441312839)}, + {NewFieldElement(2239459464265888484), NewFieldElement(8706775397593275819)}, + {NewFieldElement(6491352471800031726), NewFieldElement(209451190673168977)}, + {NewFieldElement(5778494879465125706), NewFieldElement(7142303398286289731)}, + {NewFieldElement(7094902435091460736), NewFieldElement(17694563561889239395)}, + {NewFieldElement(2647942785603144770), NewFieldElement(12183038555524816414)}, + {NewFieldElement(15100729453671585276), NewFieldElement(8119652948094623285)}, + {NewFieldElement(3441209666651626111), NewFieldElement(10072736477013237067)}, + {NewFieldElement(2372663484566761092), NewFieldElement(594324049190490986)}, + {NewFieldElement(4026947675295370811), NewFieldElement(1179770390904329138)}, + {NewFieldElement(1595271198725095132), NewFieldElement(15771888513051752701)}, + {NewFieldElement(15924194187528252748), NewFieldElement(6763066202850242722)}, + {NewFieldElement(1445670890851930788), NewFieldElement(3792635664222385076)}, + {NewFieldElement(12273956505460180574), NewFieldElement(2686688969956106705)}, + {NewFieldElement(11658870742027189182), NewFieldElement(12329880551401953731)}, + {NewFieldElement(3044295792231373345), NewFieldElement(17852841657875251990)}, + {NewFieldElement(89567881331820860), NewFieldElement(15259944608836914642)}, + {NewFieldElement(358286967559220432), NewFieldElement(4492752479771433484)}, + {NewFieldElement(14577916428537408584), NewFieldElement(13741732911292090813)}, + {NewFieldElement(16727747831341625951), NewFieldElement(17003066965000183599)}, + {NewFieldElement(9070359631236984957), NewFieldElement(6062623613509003067)}, + {NewFieldElement(2410743624398118478), NewFieldElement(13772226839431038397)}, + {NewFieldElement(11807638155649559084), NewFieldElement(1137111487688533470)}, + {NewFieldElement(64491941894197002), NewFieldElement(5868353091743239378)}, + {NewFieldElement(11301275742904392411), NewFieldElement(16283949803466884532)}, + {NewFieldElement(9890416519568149104), NewFieldElement(8227793073753762383)}, + {NewFieldElement(14951282035757983160), NewFieldElement(9077678991191664958)}, + {NewFieldElement(5033664288544688549), NewFieldElement(9192774674510226248)}, + {NewFieldElement(11933408140918977315), NewFieldElement(7749057899233101160)}, + {NewFieldElement(9164812869909307746), NewFieldElement(1719896377847214041)}, + {NewFieldElement(15224563238586628983), NewFieldElement(2588693305957079413)}, + {NewFieldElement(1889812039818739618), NewFieldElement(4817606363423939521)}, + {NewFieldElement(15609561908880497864), NewFieldElement(11885907317258609874)}, + {NewFieldElement(6792442952488353934), NewFieldElement(15088298397252768139)}, + {NewFieldElement(2651197118788035780), NewFieldElement(5089685590535462009)}, + {NewFieldElement(11982358277830572398), NewFieldElement(15471174962798992515)}, + {NewFieldElement(7639615465545578427), NewFieldElement(12644783892223098985)}, + {NewFieldElement(11009184909998310074), NewFieldElement(17958525789123172556)}, + {NewFieldElement(7777052961871412232), NewFieldElement(9786263008632335028)}, + {NewFieldElement(13336166292448975341), NewFieldElement(15263885337654327510)}, + {NewFieldElement(12764160635364533900), NewFieldElement(15411617803867471736)}, + {NewFieldElement(17491426030593864841), NewFieldElement(2688540155718191896)}, + {NewFieldElement(4278381039362706308), NewFieldElement(17571997178209012848)}, + {NewFieldElement(12726900947926109267), NewFieldElement(1433345131505837369)}, + {NewFieldElement(6334884250665613762), NewFieldElement(9617978266076057841)}, + {NewFieldElement(17511031815464775451), NewFieldElement(12281753446186189470)}, + {NewFieldElement(10718030381939087273), NewFieldElement(10785278464322784199)}, + {NewFieldElement(6964802145991989973), NewFieldElement(5630451507536431311)}, + {NewFieldElement(1610931441749714598), NewFieldElement(17306081287063918214)}, + {NewFieldElement(12529885758752979710), NewFieldElement(12015226868538417544)}, + {NewFieldElement(8212526954290021947), NewFieldElement(2604665677904480075)}, + {NewFieldElement(836429499775217902), NewFieldElement(14951071826451735988)}, + {NewFieldElement(4322887569225425418), NewFieldElement(1803870148496860526)}, + {NewFieldElement(11933437515394389470), NewFieldElement(5432495301370703205)}, + {NewFieldElement(15379632811901291758), NewFieldElement(16475440758252311235)}, + {NewFieldElement(8378463548508566883), NewFieldElement(12576809460019959325)}, + {NewFieldElement(6878478934798340017), NewFieldElement(16203041885409513004)}, + {NewFieldElement(4704361120432029530), NewFieldElement(15619278597929334259)}, + {NewFieldElement(11896486732715322997), NewFieldElement(13476483500406677625)}, + {NewFieldElement(3818194554960853168), NewFieldElement(17483945143600046041)}, + {NewFieldElement(16655838413972803560), NewFieldElement(7859620736875007555)}, + {NewFieldElement(9466644546267012606), NewFieldElement(15636572488448679353)}, + {NewFieldElement(7705051962598852604), NewFieldElement(17843247208046088041)}, +} + +// ArithmeticExtensionGate { num_ops: 10 } +var arithmeticExtensionGateExpectedConstraints = []QuadraticExtension{ + {NewFieldElement(18152046378789398239), NewFieldElement(835198655627980634)}, + {NewFieldElement(14941458349516937745), NewFieldElement(195899842055585620)}, + {NewFieldElement(11444294347859626222), NewFieldElement(7618743177769594838)}, + {NewFieldElement(6847392923782354441), NewFieldElement(3129968840755754688)}, + {NewFieldElement(11707145384221145922), NewFieldElement(286105987739288036)}, + {NewFieldElement(2582465953258947981), NewFieldElement(9032385332294381140)}, + {NewFieldElement(13238521192691745149), NewFieldElement(9704746731861618809)}, + {NewFieldElement(1830772271680123935), NewFieldElement(2037318884130759975)}, + {NewFieldElement(5532751095564029866), NewFieldElement(11560707807043359130)}, + {NewFieldElement(4749576916935014495), NewFieldElement(2144864975020203842)}, + {NewFieldElement(18162899505828592791), NewFieldElement(13853020020051211390)}, + {NewFieldElement(16196741394015376387), NewFieldElement(16087121152637055080)}, + {NewFieldElement(15478783842112089677), NewFieldElement(8151788319455760610)}, + {NewFieldElement(4962260057365923941), NewFieldElement(12155107209004037964)}, + {NewFieldElement(18192514584072489162), NewFieldElement(2336293494478946065)}, + {NewFieldElement(3747540982963754880), NewFieldElement(5650114101530259911)}, + {NewFieldElement(17757207146926514655), NewFieldElement(13461601821205159205)}, + {NewFieldElement(17921720474545785568), NewFieldElement(4718996085070502683)}, + {NewFieldElement(4443998758263224376), NewFieldElement(13890461367328975727)}, + {NewFieldElement(13990958094457190244), NewFieldElement(3783673559976842909)}, +} + +// MulExtensionGate { num_ops: 13 } +var mulExtensionGateExpectedConstraints = []QuadraticExtension{ + {NewFieldElement(7181113876231745794), NewFieldElement(7868884260109104825)}, + {NewFieldElement(14067639069854412134), NewFieldElement(2094238260641413106)}, + {NewFieldElement(3160167686452082144), NewFieldElement(15508587061137009544)}, + {NewFieldElement(2701966180261760724), NewFieldElement(49742798193009777)}, + {NewFieldElement(16965594259972472645), NewFieldElement(15119035756932709035)}, + {NewFieldElement(8587305003975146248), NewFieldElement(11788991692426475292)}, + {NewFieldElement(13134841191650990099), NewFieldElement(12468857767882216027)}, + {NewFieldElement(5079312787147663415), NewFieldElement(315076378722635206)}, + {NewFieldElement(4656603487897834248), NewFieldElement(4455086801173740459)}, + {NewFieldElement(3630077482584148572), NewFieldElement(3283664780554963370)}, + {NewFieldElement(1781217475359761081), NewFieldElement(17627776820166298232)}, + {NewFieldElement(5917159494270473360), NewFieldElement(6025450051539258087)}, + {NewFieldElement(6450855110748081528), NewFieldElement(7446684637376438458)}, + {NewFieldElement(8607810652222212781), NewFieldElement(7298919685405344815)}, + {NewFieldElement(13906434081686233303), NewFieldElement(13101189135710264580)}, + {NewFieldElement(6489826249831576523), NewFieldElement(11224737887667008267)}, + {NewFieldElement(3580221348553931303), NewFieldElement(4662435202527050543)}, + {NewFieldElement(7286527320055156837), NewFieldElement(15670292738296412147)}, + {NewFieldElement(2095892346123668330), NewFieldElement(5572639395382198548)}, + {NewFieldElement(11836511250144945185), NewFieldElement(6212767141717037414)}, + {NewFieldElement(12781535798978127236), NewFieldElement(14467390350363203888)}, + {NewFieldElement(2635017860820288214), NewFieldElement(6092079726747224779)}, + {NewFieldElement(18057143820634196774), NewFieldElement(16137749920970128474)}, + {NewFieldElement(16754543715625171524), NewFieldElement(15674433195919785024)}, + {NewFieldElement(2135423350522303111), NewFieldElement(32407260862438164)}, + {NewFieldElement(14956506296276270245), NewFieldElement(1145919757338314609)}, +} + +// ExponentiationGate { num_power_bits: 67, _phantom: PhantomData } +var exponentiationGateExpectedConstraints = []QuadraticExtension{ + {NewFieldElement(11917134172330913896), NewFieldElement(17387498340632768165)}, + {NewFieldElement(1312379412936626785), NewFieldElement(8487972230502205858)}, + {NewFieldElement(1034346392193469803), NewFieldElement(10387255969849204765)}, + {NewFieldElement(8975374558919785259), NewFieldElement(8379061308496297909)}, + {NewFieldElement(5137354887085653470), NewFieldElement(18342299770587131344)}, + {NewFieldElement(11284168756796657450), NewFieldElement(13822895496426653701)}, + {NewFieldElement(235168160386175185), NewFieldElement(17356178727442490793)}, + {NewFieldElement(11012326969983488833), NewFieldElement(13315935561725076264)}, + {NewFieldElement(11064160789252923988), NewFieldElement(243775009899162201)}, + {NewFieldElement(17368303548433332975), NewFieldElement(15625080509274199608)}, + {NewFieldElement(5849122830228985352), NewFieldElement(5103229940930953650)}, + {NewFieldElement(14713362802405597126), NewFieldElement(8157398625845036781)}, + {NewFieldElement(16495373179302807753), NewFieldElement(4597863041430416411)}, + {NewFieldElement(3274329863393011112), NewFieldElement(8955190641874111502)}, + {NewFieldElement(4704531612240997322), NewFieldElement(2253948388369651634)}, + {NewFieldElement(13333514818352143222), NewFieldElement(4999457874559250243)}, + {NewFieldElement(2284463506187861590), NewFieldElement(13765412523042072026)}, + {NewFieldElement(16636340184626646426), NewFieldElement(3174763529046637372)}, + {NewFieldElement(5336400619848923540), NewFieldElement(10513883740898299385)}, + {NewFieldElement(14200134528033869480), NewFieldElement(11039588311485209657)}, + {NewFieldElement(18377155443679293884), NewFieldElement(13521764320839726823)}, + {NewFieldElement(242773453939591946), NewFieldElement(6326451192242543829)}, + {NewFieldElement(1296949085249594883), NewFieldElement(7990211688523987915)}, + {NewFieldElement(5510982641888481009), NewFieldElement(10552089306004766754)}, + {NewFieldElement(10914255593671877946), NewFieldElement(18175495064507840841)}, + {NewFieldElement(7575617967752753230), NewFieldElement(9665518441862148402)}, + {NewFieldElement(14351249981525100362), NewFieldElement(5763278800672952095)}, + {NewFieldElement(16319397571073742470), NewFieldElement(1318308384414985616)}, + {NewFieldElement(12030088917335470405), NewFieldElement(6668172884819717021)}, + {NewFieldElement(17509060699703766693), NewFieldElement(1489607021074587548)}, + {NewFieldElement(1096695845774334385), NewFieldElement(6122861634465429123)}, + {NewFieldElement(13460252757128783693), NewFieldElement(17777045084091738197)}, + {NewFieldElement(14557885155010631641), NewFieldElement(4298885986874834349)}, + {NewFieldElement(3635088766034344822), NewFieldElement(8827496887313967507)}, + {NewFieldElement(6550916348715580989), NewFieldElement(4180030543088252998)}, + {NewFieldElement(16051569484464055768), NewFieldElement(2121040925634405127)}, + {NewFieldElement(1788913367411914907), NewFieldElement(10745316805250218547)}, + {NewFieldElement(4832917661842853637), NewFieldElement(1148465658973892394)}, + {NewFieldElement(9162757057100424164), NewFieldElement(7814738929773741429)}, + {NewFieldElement(13840071942242698046), NewFieldElement(12500211120922811757)}, + {NewFieldElement(10699948139249128560), NewFieldElement(4891144553679573560)}, + {NewFieldElement(14602444997841482522), NewFieldElement(17017251371157941125)}, + {NewFieldElement(586839629673374241), NewFieldElement(3363863469002405744)}, + {NewFieldElement(9011045001648305113), NewFieldElement(7085187243048562102)}, + {NewFieldElement(13032999395920684322), NewFieldElement(6189400872664562846)}, + {NewFieldElement(8971070287177655421), NewFieldElement(12582676780734324056)}, + {NewFieldElement(558400378011382278), NewFieldElement(6298195151594790629)}, + {NewFieldElement(17192073729541567806), NewFieldElement(5497805500866221538)}, + {NewFieldElement(5728605922884243514), NewFieldElement(18070340533610014206)}, + {NewFieldElement(15473455953886985277), NewFieldElement(11635823818659992567)}, + {NewFieldElement(7477545430207969908), NewFieldElement(2742755471302540300)}, + {NewFieldElement(12407179232895419141), NewFieldElement(17302315821428133291)}, + {NewFieldElement(12858531909631903407), NewFieldElement(14746185565916474858)}, + {NewFieldElement(12872867896453911017), NewFieldElement(6563250576201773751)}, + {NewFieldElement(3384183107205264844), NewFieldElement(11512795156033923138)}, + {NewFieldElement(8430135350637925522), NewFieldElement(10199901650713033996)}, + {NewFieldElement(11167364659650598214), NewFieldElement(447394121422751322)}, + {NewFieldElement(4931438368828291722), NewFieldElement(16717867949669373753)}, + {NewFieldElement(5151270559741115914), NewFieldElement(45949586886299827)}, + {NewFieldElement(11159644559144981603), NewFieldElement(2120703503452727949)}, + {NewFieldElement(8830601119784247875), NewFieldElement(8542262650554393830)}, + {NewFieldElement(6142186624494698182), NewFieldElement(7120939306807396235)}, + {NewFieldElement(11716893898091265261), NewFieldElement(4311673012489504666)}, + {NewFieldElement(2133003157459487893), NewFieldElement(1909522153859214178)}, + {NewFieldElement(427412581044646901), NewFieldElement(15454912207372224939)}, + {NewFieldElement(1842301960762096227), NewFieldElement(12476329615991638721)}, + {NewFieldElement(696538585954127499), NewFieldElement(2702122491633241201)}, + {NewFieldElement(5755584054765687076), NewFieldElement(5430280214517080555)}, +} + +// CosetInterpolationGate { subgroup_bits: 4, degree: 6, barycentric_weights: [17293822565076172801, 18374686475376656385, 18446744069413535745, 281474976645120, 17592186044416, 18446744069414584577, 18446744000695107601, 18446744065119617025, 1152921504338411520, 72057594037927936, 18446744069415632897, 18446462594437939201, 18446726477228539905, 18446744069414584065, 68719476720, 4294967296], _phantom: PhantomData } +var cosetInterpolationGateExpectedConstraints = []QuadraticExtension{ + {NewFieldElement(13782516617623808439), NewFieldElement(15116825128522139629)}, + {NewFieldElement(10605488313706531843), NewFieldElement(16124703860676816956)}, + {NewFieldElement(2725554495824998780), NewFieldElement(13477621298303015045)}, + {NewFieldElement(2936187345854242438), NewFieldElement(5827982872566017395)}, + {NewFieldElement(11223822863576777799), NewFieldElement(2143123911507599653)}, + {NewFieldElement(4839015650475288776), NewFieldElement(745790217755162273)}, + {NewFieldElement(2205634412980832213), NewFieldElement(15767892564871259137)}, + {NewFieldElement(9091626478775122653), NewFieldElement(9730482292097571809)}, + {NewFieldElement(10636787321971723634), NewFieldElement(14666593583448965088)}, + {NewFieldElement(7179924177530514890), NewFieldElement(10610536358289043895)}, + {NewFieldElement(15067680125330943902), NewFieldElement(17960901266185771082)}, + {NewFieldElement(5184847499291037169), NewFieldElement(16061742535733361053)}, +} + +type TestGateCircuit struct { + testGate gate + expectedConstraints []QuadraticExtension +} + +func (circuit *TestGateCircuit) Define(api frontend.API) error { + commonCircuitData := DeserializeCommonCircuitData("./data/recursive_step/common_circuit_data.json") + numSelectors := len(commonCircuitData.SelectorsInfo.groups) + + fieldAPI := NewFieldAPI(api) + qeAPI := NewQuadraticExtensionAPI(fieldAPI, commonCircuitData.DegreeBits) + plonkChip := NewPlonkChip(api, qeAPI, commonCircuitData) + + vars := EvaluationVars{localConstants: localConstants[numSelectors:], localWires: localWires, publicInputsHash: publicInputsHash} + + constraints := circuit.testGate.EvalUnfiltered(plonkChip, vars) + + if len(constraints) != len(circuit.expectedConstraints) { + return errors.New("gate constraints length mismatch") + } + for i := 0; i < len(constraints); i++ { + qeAPI.AssertIsEqual(constraints[i], circuit.expectedConstraints[i]) + } + + return nil +} + +func TestGates(t *testing.T) { + assert := test.NewAssert(t) + + testCase := func(testGate gate, expectedConstraints []QuadraticExtension) { + circuit := &TestGateCircuit{testGate: testGate, expectedConstraints: expectedConstraints} + witness := &TestGateCircuit{testGate: testGate, expectedConstraints: expectedConstraints} + err := test.IsSolved(circuit, witness, TEST_CURVE.ScalarField()) + assert.NoError(err) + } + + type gateTest struct { + testGate gate + expectedConstraints []QuadraticExtension + } + + gateTests := []gateTest{ + {&PublicInputGate{}, publicInputGateExpectedConstraints}, + {&ArithmeticGate{numOps: 20}, arithmeticGateExpectedConstraints}, + {&BaseSumGate{numLimbs: 63, base: 2}, baseSumGateExpectedConstraints}, + {&RandomAccessGate{bits: 4, numCopies: 4, numExtraConstants: 2}, randomAccessGateExpectedConstraints}, + {&PoseidonGate{}, poseidonGateExpectedConstraints}, + } + + for _, test := range gateTests { + testCase( + test.testGate, + test.expectedConstraints, + ) + } +} diff --git a/plonky2_verifier/gate_testing_utils.go b/plonky2_verifier/gate_testing_utils.go deleted file mode 100644 index 4bc68a7..0000000 --- a/plonky2_verifier/gate_testing_utils.go +++ /dev/null @@ -1,249 +0,0 @@ -package plonky2_verifier - -import ( - . "gnark-plonky2-verifier/field" -) - -var localConstants = []QuadraticExtension{ - {NewFieldElement(14938388220067017512), NewFieldElement(6893617978345561255)}, - {NewFieldElement(2858278997849927318), NewFieldElement(14613858972289114497)}, - {NewFieldElement(12010705804054043554), NewFieldElement(17734088886423096402)}, - {NewFieldElement(6471692081681050808), NewFieldElement(18106394403447308154)}, - {NewFieldElement(12558554458272921972), NewFieldElement(2216637096996035026)}, - {NewFieldElement(2742311400964131460), NewFieldElement(9282906066726805869)}, - {NewFieldElement(6596410029573254275), NewFieldElement(10257498171037842553)}, -} - -var localWires = []QuadraticExtension{ - {NewFieldElement(2324480063341987239), NewFieldElement(988591962437064919)}, - {NewFieldElement(14688677982646642822), NewFieldElement(8146247054257470414)}, - {NewFieldElement(17333596212120632616), NewFieldElement(8229773878724567671)}, - {NewFieldElement(16821804945910820925), NewFieldElement(12343335221440433490)}, - {NewFieldElement(2756227950103887825), NewFieldElement(343560939592426117)}, - {NewFieldElement(16596623007682686427), NewFieldElement(16182492379544649001)}, - {NewFieldElement(11316887259286577994), NewFieldElement(5467115228713222299)}, - {NewFieldElement(1582490957227381752), NewFieldElement(6925101494868390621)}, - {NewFieldElement(17935248409332290352), NewFieldElement(12534157394828412916)}, - {NewFieldElement(1232026497545098356), NewFieldElement(14048694225063532055)}, - {NewFieldElement(11979806059027179452), NewFieldElement(17007628877389084459)}, - {NewFieldElement(6185211824111055171), NewFieldElement(11113325383534952676)}, - {NewFieldElement(5285260129504523793), NewFieldElement(2234312045539869327)}, - {NewFieldElement(5097097637012137260), NewFieldElement(6201025554481621574)}, - {NewFieldElement(6037242957330965254), NewFieldElement(8600833538151893000)}, - {NewFieldElement(1840669856531831838), NewFieldElement(15065652255235975922)}, - {NewFieldElement(12697827657439264676), NewFieldElement(8513261715427030745)}, - {NewFieldElement(17293199904676005799), NewFieldElement(3250033655198439882)}, - {NewFieldElement(15670279238000114139), NewFieldElement(2873593865532946130)}, - {NewFieldElement(8233044221496845350), NewFieldElement(7769536024141251466)}, - {NewFieldElement(7276958187322513627), NewFieldElement(1860660389845587459)}, - {NewFieldElement(9589532469937976759), NewFieldElement(7590567423994010364)}, - {NewFieldElement(16188252206420308967), NewFieldElement(1215332132961798729)}, - {NewFieldElement(4284385291851770933), NewFieldElement(8054708369354118180)}, - {NewFieldElement(951064484118793750), NewFieldElement(14928634967654532194)}, - {NewFieldElement(5756940583948879782), NewFieldElement(16919129773187566805)}, - {NewFieldElement(14616825313554663172), NewFieldElement(14608067953510361893)}, - {NewFieldElement(2218969368435230247), NewFieldElement(8314107073610762130)}, - {NewFieldElement(2846464114111699115), NewFieldElement(1739645682168118162)}, - {NewFieldElement(9428678995108626933), NewFieldElement(18300292734756419913)}, - {NewFieldElement(17837447932135148748), NewFieldElement(16963062756757640776)}, - {NewFieldElement(15769972692897111778), NewFieldElement(11937356836123640190)}, - {NewFieldElement(8427612563992716672), NewFieldElement(6338936101976157422)}, - {NewFieldElement(8087028861430760589), NewFieldElement(15904493721713953322)}, - {NewFieldElement(16852312552899313453), NewFieldElement(12703698940483431753)}, - {NewFieldElement(9385581021480003680), NewFieldElement(16428288666295194603)}, - {NewFieldElement(17228209431960982877), NewFieldElement(7918190884273718559)}, - {NewFieldElement(3132939554659874022), NewFieldElement(14065724777617623144)}, - {NewFieldElement(1997749289316112361), NewFieldElement(9278657719821874692)}, - {NewFieldElement(11261631966308838097), NewFieldElement(17864868364492856478)}, - {NewFieldElement(6870413790049792873), NewFieldElement(7958529866191467568)}, - {NewFieldElement(3285486169947371103), NewFieldElement(13432787563835021279)}, - {NewFieldElement(15050449752793271273), NewFieldElement(18354035013159256035)}, - {NewFieldElement(13156406563219393216), NewFieldElement(2811064537112579464)}, - {NewFieldElement(152960041933474907), NewFieldElement(1638753743319968389)}, - {NewFieldElement(319825484888354934), NewFieldElement(9316401211755928943)}, - {NewFieldElement(16408408071810237531), NewFieldElement(18410352386107353801)}, - {NewFieldElement(11721234235617526034), NewFieldElement(15999840912099509122)}, - {NewFieldElement(6334230580789589688), NewFieldElement(14426162209351753421)}, - {NewFieldElement(958567038590387846), NewFieldElement(8029518124072166613)}, - {NewFieldElement(14177438370769025330), NewFieldElement(16473317446385361345)}, - {NewFieldElement(15581189373117842086), NewFieldElement(5900338653012073386)}, - {NewFieldElement(8240400515986653624), NewFieldElement(14185121622736441262)}, - {NewFieldElement(6679588999186450167), NewFieldElement(7128455250623622155)}, - {NewFieldElement(16252662677474545634), NewFieldElement(11498423056076196888)}, - {NewFieldElement(15806801790824973416), NewFieldElement(2139294885746295937)}, - {NewFieldElement(2686237135450455588), NewFieldElement(11560495253516227160)}, - {NewFieldElement(10794154831626450247), NewFieldElement(14846136074280133457)}, - {NewFieldElement(10904017069956482237), NewFieldElement(16678728929164911588)}, - {NewFieldElement(77097765992419633), NewFieldElement(6037802885211793535)}, - {NewFieldElement(2948949654471962353), NewFieldElement(2821197372203299784)}, - {NewFieldElement(11058031646382030618), NewFieldElement(14661594862905661700)}, - {NewFieldElement(12154711323908739968), NewFieldElement(16167190320499561302)}, - {NewFieldElement(7860977505669195590), NewFieldElement(13935954304018092783)}, - {NewFieldElement(18189874348209070279), NewFieldElement(11538053105967940289)}, - {NewFieldElement(11425397866380016050), NewFieldElement(3629278068857786221)}, - {NewFieldElement(14222050824749623144), NewFieldElement(15140845573600227476)}, - {NewFieldElement(11344695042959853614), NewFieldElement(2169085408567386370)}, - {NewFieldElement(1382814149657132134), NewFieldElement(1236079356280021064)}, - {NewFieldElement(17447449634981200877), NewFieldElement(4036324561038142974)}, - {NewFieldElement(11667566735027246199), NewFieldElement(7504612499562579295)}, - {NewFieldElement(8096661641373469320), NewFieldElement(17495789134569173932)}, - {NewFieldElement(9772815018478920866), NewFieldElement(6155533504741603890)}, - {NewFieldElement(4680980484631369987), NewFieldElement(12005731930547792380)}, - {NewFieldElement(6030057570246380244), NewFieldElement(1574605083038813985)}, - {NewFieldElement(6754716419760683051), NewFieldElement(9739266036232852396)}, - {NewFieldElement(3724513823179248054), NewFieldElement(13013306109228123804)}, - {NewFieldElement(11890451292401098866), NewFieldElement(16486773210504598590)}, - {NewFieldElement(15585701182352051988), NewFieldElement(11720999619266399739)}, - {NewFieldElement(7485278618867936600), NewFieldElement(11145589513887907261)}, - {NewFieldElement(14193072368816296635), NewFieldElement(7323345281142640608)}, - {NewFieldElement(17524516352488247889), NewFieldElement(15683878140283813020)}, - {NewFieldElement(12837567742060157665), NewFieldElement(4718676941458713108)}, - {NewFieldElement(6217075579383787974), NewFieldElement(6370591763549375649)}, - {NewFieldElement(8359486437738096506), NewFieldElement(10778994345307569722)}, - {NewFieldElement(4952581951776675799), NewFieldElement(17817948246329576635)}, - {NewFieldElement(3976052009388288681), NewFieldElement(17849902626188930996)}, - {NewFieldElement(17810794672545767939), NewFieldElement(1041595632469164526)}, - {NewFieldElement(14280479506185077398), NewFieldElement(9432275670660632521)}, - {NewFieldElement(16096793441725012598), NewFieldElement(14080357378312550361)}, - {NewFieldElement(2808358450883300976), NewFieldElement(18155683068497079023)}, - {NewFieldElement(12506615906620507426), NewFieldElement(13547702647793093771)}, - {NewFieldElement(543665817978834688), NewFieldElement(11749575935793871460)}, - {NewFieldElement(14472836352047062696), NewFieldElement(12745333723416264174)}, - {NewFieldElement(12981918713322309538), NewFieldElement(12274815259004888156)}, - {NewFieldElement(8926153023959879624), NewFieldElement(15612804752658609157)}, - {NewFieldElement(15470343302949437595), NewFieldElement(11164995109470525521)}, - {NewFieldElement(10520929231082168869), NewFieldElement(16888496821066277493)}, - {NewFieldElement(1028056151721181243), NewFieldElement(8120934238589042033)}, - {NewFieldElement(1810007995141850479), NewFieldElement(2490559022189551873)}, - {NewFieldElement(1867732552988682347), NewFieldElement(8352749138289783478)}, - {NewFieldElement(1772251986087179577), NewFieldElement(1151343330961505549)}, - {NewFieldElement(14295941257654230218), NewFieldElement(8638985198387420860)}, - {NewFieldElement(582917963870113299), NewFieldElement(13301360102508097820)}, - {NewFieldElement(18438694801095657876), NewFieldElement(2953322262478232169)}, - {NewFieldElement(7603887573063566422), NewFieldElement(6091524026276266924)}, - {NewFieldElement(7184877376568353020), NewFieldElement(5312277526863426709)}, - {NewFieldElement(4845801136589914168), NewFieldElement(1561342471733565936)}, - {NewFieldElement(13089468615522535612), NewFieldElement(4057681051840817565)}, - {NewFieldElement(14153633198781966944), NewFieldElement(11670642633718804558)}, - {NewFieldElement(16238871251946995480), NewFieldElement(9879378414393071037)}, - {NewFieldElement(407815114363153064), NewFieldElement(18417737282937069683)}, - {NewFieldElement(10314092695875136843), NewFieldElement(17129917118418209854)}, - {NewFieldElement(14435763837662532097), NewFieldElement(4319511190642832713)}, - {NewFieldElement(11747855857520646712), NewFieldElement(7041602666708225251)}, - {NewFieldElement(9175192383987399327), NewFieldElement(4409574583823547850)}, - {NewFieldElement(9548913170337855226), NewFieldElement(4160834878925069440)}, - {NewFieldElement(965944482423049129), NewFieldElement(14015844569022395350)}, - {NewFieldElement(17244878179047663844), NewFieldElement(925516683252056953)}, - {NewFieldElement(11530194255376349088), NewFieldElement(3004909091927990154)}, - {NewFieldElement(5197253289126122309), NewFieldElement(4693726439926432566)}, - {NewFieldElement(16039381979512237027), NewFieldElement(8603041366636528085)}, - {NewFieldElement(6094270808101390314), NewFieldElement(13412584619695658458)}, - {NewFieldElement(300463888721818101), NewFieldElement(1345726875223674416)}, - {NewFieldElement(15941208658209056668), NewFieldElement(9615553092932888024)}, - {NewFieldElement(12935711669717280950), NewFieldElement(1779981135440026594)}, - {NewFieldElement(1903849940544955596), NewFieldElement(3220793888228552075)}, - {NewFieldElement(17009281029954729848), NewFieldElement(12717382096012389232)}, - {NewFieldElement(8308499022107883215), NewFieldElement(7238839475668369173)}, - {NewFieldElement(4681909377350889716), NewFieldElement(9121889619872786537)}, - {NewFieldElement(16745334188484332040), NewFieldElement(13880192213923952919)}, - {NewFieldElement(8275654896887061920), NewFieldElement(5378310777055483996)}, - {NewFieldElement(2877567868802486135), NewFieldElement(3737222674819658170)}, - {NewFieldElement(7662876313147287437), NewFieldElement(15849146076823477077)}, - {NewFieldElement(15996655521860650011), NewFieldElement(10796039480722311424)}, - {NewFieldElement(3451129575094269729), NewFieldElement(9506170035703226854)}, -} - -var publicInputsHash = Hash{ZERO_F, ZERO_F, ZERO_F, ZERO_F} - -var constantGateExpectedConstraints = []QuadraticExtension{ - {NewFieldElement(417831337622144221), NewFieldElement(8294314104289740950)}, - {NewFieldElement(10354476116341195774), NewFieldElement(2111251116780372139)}, -} - -var baseSumGateExpectedConstraints = []QuadraticExtension{ - {NewFieldElement(13342375419378862774), NewFieldElement(2280369543228400622)}, - {NewFieldElement(4343016273263963301), NewFieldElement(8670112296843354731)}, - {NewFieldElement(16450085172304373435), NewFieldElement(9474921066378691247)}, - {NewFieldElement(10825438813181866983), NewFieldElement(4721788102061048468)}, - {NewFieldElement(2653358151822415377), NewFieldElement(16941658162630334598)}, - {NewFieldElement(16109827603357243766), NewFieldElement(2469723755597001985)}, - {NewFieldElement(16092509697995123079), NewFieldElement(15792545805376063500)}, - {NewFieldElement(18220570683647205186), NewFieldElement(15344882637457318583)}, - {NewFieldElement(11198665856327480684), NewFieldElement(5553903935302684834)}, - {NewFieldElement(10482437897580882341), NewFieldElement(8685229612947119045)}, - {NewFieldElement(4559642503814598145), NewFieldElement(10753102667902815825)}, - {NewFieldElement(622804064827561260), NewFieldElement(581766069302707440)}, - {NewFieldElement(18211909441470681488), NewFieldElement(9918892113105798061)}, - {NewFieldElement(17690944039562025874), NewFieldElement(10477359595782407734)}, - {NewFieldElement(10779840836031384949), NewFieldElement(5788395352825863117)}, - {NewFieldElement(16642771945619329948), NewFieldElement(16143638493085149246)}, - {NewFieldElement(4736242245615047143), NewFieldElement(8163893235093339079)}, - {NewFieldElement(1094576462017674831), NewFieldElement(174501253315632830)}, - {NewFieldElement(13301388104345214501), NewFieldElement(10119526634662127335)}, - {NewFieldElement(8813857633984933142), NewFieldElement(3166911591676225444)}, - {NewFieldElement(4484502504021732255), NewFieldElement(1409252568845542666)}, - {NewFieldElement(1370941442659786223), NewFieldElement(17296588456662108571)}, - {NewFieldElement(4569099382027624816), NewFieldElement(17912433869630853419)}, - {NewFieldElement(14131075703244612804), NewFieldElement(3689236699393284763)}, - {NewFieldElement(18110259573622113024), NewFieldElement(6304531968860732013)}, - {NewFieldElement(8367598931797559807), NewFieldElement(15403657336885577186)}, - {NewFieldElement(14940830541973671114), NewFieldElement(7321434648394309094)}, - {NewFieldElement(4391132182759374634), NewFieldElement(5732898826353006639)}, - {NewFieldElement(7456591484914201025), NewFieldElement(18109528517204812723)}, - {NewFieldElement(17161771796959903109), NewFieldElement(13156261145684066101)}, - {NewFieldElement(13536084388374414797), NewFieldElement(2054701847843415519)}, - {NewFieldElement(14910161626746342494), NewFieldElement(16386413929249303239)}, - {NewFieldElement(135663282453455528), NewFieldElement(7326002312332878726)}, -} - -var arithmeticGateExpectedConstraints = []QuadraticExtension{ - {NewFieldElement(9603520691216808695), NewFieldElement(4690376779053831127)}, - {NewFieldElement(5966866800636406163), NewFieldElement(6497324789933336132)}, - {NewFieldElement(6878826495788308741), NewFieldElement(6127451825087650238)}, - {NewFieldElement(6678434778566461093), NewFieldElement(4026425239249050845)}, - {NewFieldElement(12356209889502117742), NewFieldElement(2848290571099391070)}, - {NewFieldElement(7541992239029108782), NewFieldElement(17950940401537766942)}, - {NewFieldElement(8908708207493246100), NewFieldElement(7160028060821122527)}, - {NewFieldElement(409323751734912343), NewFieldElement(24526598513461753)}, - {NewFieldElement(10095343333078580948), NewFieldElement(9161015237592230075)}, - {NewFieldElement(11010535831715159243), NewFieldElement(15218713219737909314)}, - {NewFieldElement(1130027067868936767), NewFieldElement(348988747125952834)}, - {NewFieldElement(4887152687323312043), NewFieldElement(2858818833929316587)}, - {NewFieldElement(2026398252660761898), NewFieldElement(14463964653784091512)}, - {NewFieldElement(11677435047184556805), NewFieldElement(14702888148318045748)}, - {NewFieldElement(2582432912602788354), NewFieldElement(6113339395054066192)}, - {NewFieldElement(6676401481409103862), NewFieldElement(423414056716918306)}, - {NewFieldElement(10348954695605340465), NewFieldElement(9794647822577644958)}, - {NewFieldElement(15581055079466977733), NewFieldElement(2184227200414011915)}, - {NewFieldElement(16837665759306664052), NewFieldElement(13229282844806523763)}, - {NewFieldElement(15646775329525033386), NewFieldElement(7893047165846868816)}, -} - -var randomAccessGateExpectedConstraints = []QuadraticExtension{ - {NewFieldElement(14096597590517523067), NewFieldElement(2655169409008419702)}, - {NewFieldElement(5150369100957105913), NewFieldElement(9690142804550213688)}, - {NewFieldElement(12862636728240805500), NewFieldElement(15885653298577690721)}, - {NewFieldElement(5938169082606588253), NewFieldElement(13375731264713600699)}, - {NewFieldElement(16556211561864036325), NewFieldElement(1097770550456310263)}, - {NewFieldElement(7110929822775027665), NewFieldElement(12197631192598781905)}, - {NewFieldElement(3526950454725789222), NewFieldElement(16581256211788295110)}, - {NewFieldElement(6704870069993050342), NewFieldElement(639095910170462201)}, - {NewFieldElement(15722010723337496870), NewFieldElement(1609594866420744764)}, - {NewFieldElement(3770790493236783721), NewFieldElement(1601875894399014690)}, - {NewFieldElement(8940214713698553170), NewFieldElement(1435550334204491513)}, - {NewFieldElement(5765635925648817913), NewFieldElement(17921434922626677797)}, - {NewFieldElement(11284135106973148775), NewFieldElement(12235917185065439961)}, - {NewFieldElement(11684377481625307024), NewFieldElement(4068304938130253402)}, - {NewFieldElement(16430390956600401383), NewFieldElement(5027375440531063469)}, - {NewFieldElement(12346816733826550618), NewFieldElement(8983232740461478925)}, - {NewFieldElement(7315134556374205868), NewFieldElement(10733792242004794605)}, - {NewFieldElement(9676902521951667374), NewFieldElement(17472456522303293623)}, - {NewFieldElement(3391573289049150552), NewFieldElement(13044958098760740211)}, - {NewFieldElement(7161062079224730414), NewFieldElement(14473293246671391425)}, - {NewFieldElement(590698465067972002), NewFieldElement(4791051041728641335)}, - {NewFieldElement(11301242955861918730), NewFieldElement(7313100973676377913)}, - {NewFieldElement(6327059471985261770), NewFieldElement(11232679988877321564)}, - {NewFieldElement(15485954821265539981), NewFieldElement(1201918074719834630)}, - {NewFieldElement(11416240451899794915), NewFieldElement(3127372561985201979)}, - {NewFieldElement(1915429544941884288), NewFieldElement(16698510309904634494)}, -} diff --git a/plonky2_verifier/random_access_gate_test.go b/plonky2_verifier/random_access_gate_test.go deleted file mode 100644 index d2ef3b9..0000000 --- a/plonky2_verifier/random_access_gate_test.go +++ /dev/null @@ -1,49 +0,0 @@ -package plonky2_verifier - -import ( - "errors" - . "gnark-plonky2-verifier/field" - "testing" - - "github.com/consensys/gnark/frontend" - "github.com/consensys/gnark/test" -) - -type TestRandomAccessGateCircuit struct{} - -func (circuit *TestRandomAccessGateCircuit) Define(api frontend.API) error { - commonCircuitData := DeserializeCommonCircuitData("./data/step/common_circuit_data.json") - numSelectors := len(commonCircuitData.SelectorsInfo.groups) - - fieldAPI := NewFieldAPI(api) - qeAPI := NewQuadraticExtensionAPI(fieldAPI, commonCircuitData.DegreeBits) - plonkChip := NewPlonkChip(api, qeAPI, commonCircuitData) - - randomAccessGate := RandomAccessGate{bits: 4, numCopies: 4, numExtraConstants: 2} - vars := EvaluationVars{localConstants: localConstants[numSelectors:], localWires: localWires, publicInputsHash: publicInputsHash} - - constraints := randomAccessGate.EvalUnfiltered(plonkChip, vars) - - if len(constraints) != len(randomAccessGateExpectedConstraints) { - return errors.New("constant gate constraints length mismatch") - } - - for i := 0; i < len(constraints); i++ { - qeAPI.AssertIsEqual(constraints[i], randomAccessGateExpectedConstraints[i]) - } - - return nil -} - -func TestRandomAccessGate(t *testing.T) { - assert := test.NewAssert(t) - - testCase := func() { - circuit := TestRandomAccessGateCircuit{} - witness := TestRandomAccessGateCircuit{} - err := test.IsSolved(&circuit, &witness, TEST_CURVE.ScalarField()) - assert.NoError(err) - } - - testCase() -}