Question 22502: Shift the Full State and Append Each Exact New Scalar

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Original question and givens
Definition and scope
Step-by-step derivation
Reverse checks
Result
This question review and source binding

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R0044-22502 · q-20261014-advance-20261110-r05-recurrence-relation-0027

Original question and givens

Use order r=3, coefficients=[2, 4, 6] in oldest-to-newest order, constant=-1 and initial_values=[1, 2, 3], where initial_values[j]=a_j. For n≥r, a_n=constant+sum over j=0..r−1 of coefficients[j]*a_(n−r+j). The state shifts left then appends the new scalar. All intermediate integer operations must be safe. Target index=7. Give (order, initial_values, target_n, prefix, target_value, certificate).

G001 — Use order r=3, coefficients=[2, 4, 6] in oldest-to-newest order, constant=-1 and initial_values=[1, 2, 3], where initial_values[j]=a_j. For n≥r, a_n=constant+sum over j=0..r−1 of coefficients[j]*a_(n−r+j). The state shifts left then appends the new scalar. All intermediate integer operations must be safe. Target index=7. Give (order, initial_values, target_n, prefix, target_value, certificate).

Definition and scope

Use the original question domain, assumptions and cited MKO definitions. This item has second-context mathematical and bilingual review, with the model, answer and every arithmetic step independently recomputed from the original parameters; the source question remains a candidate.

mko-recurrence-relation

Step-by-step derivation

S001 · implies

Before

source operation=recurrence-forward-generation;original snapshot and mathematics retained

After

explicit ordered source output fields=[order, initial_values, target_n, prefix, target_value, certificate]

Conditions: none

Keep the historical interface marker and list ordered source fields without JavaScript.Tags are not additional evidence;fixed No markers retain their scope.The ordering helper supplies protocol order,not mathematical correctness.

Step identifiers and dependencies

Rule: source_ordered_interface_explicit_without_javascript · Uses: G001

S002 · implies

Before

recurrence ORIGINAL:ORIGINAL order=3;oldest-to-newest coefficients=[2, 4, 6];constant=-1;ALL initial a_0..a_(r-1)=[1, 2, 3]

After

for EVERY n>=3,a_n=constant+sum_j coefficients[j]*a_(n-r+j);current prefix length=3;forward rule is total and single-valued

Conditions: none

Fix all r initials and the oldest-to-newest coefficient roles.Given the preceding r values,the next value is uniquely determined.This is a forward definition,not a closed form or convergence claim.

Step identifiers and dependencies

Rule: recurrence_complete_initial_state_and_total_single_value_rule · Uses: G001, S001

S003 · calculation

Before

recurrence ORIGINAL n=3 ORIGINAL coefficient0 times a_0 := mul(2, 1)

After

recurrence ORIGINAL n=3 ORIGINAL coefficient0 times a_0 = 2

Conditions: none

Substitute original roles,indices and established intermediates exactly,not floating-point approximations or another question's data.

Step identifiers and dependencies

Rule: exact_rational_arithmetic · Uses: G001, S002

S004 · calculation

Before

recurrence ORIGINAL n=3 partial sum after coefficient0 := sum(-1, 2)

After

recurrence ORIGINAL n=3 partial sum after coefficient0 = 1

Conditions: none

Substitute original roles,indices and established intermediates exactly,not floating-point approximations or another question's data.

Step identifiers and dependencies

Rule: exact_rational_arithmetic · Uses: G001, S003

S005 · calculation

Before

recurrence ORIGINAL n=3 ORIGINAL coefficient1 times a_1 := mul(4, 2)

After

recurrence ORIGINAL n=3 ORIGINAL coefficient1 times a_1 = 8

Conditions: none

Substitute original roles,indices and established intermediates exactly,not floating-point approximations or another question's data.

Step identifiers and dependencies

Rule: exact_rational_arithmetic · Uses: G001, S004

S006 · calculation

Before

recurrence ORIGINAL n=3 partial sum after coefficient1 := sum(1, 8)

After

recurrence ORIGINAL n=3 partial sum after coefficient1 = 9

Conditions: none

Substitute original roles,indices and established intermediates exactly,not floating-point approximations or another question's data.

Step identifiers and dependencies

Rule: exact_rational_arithmetic · Uses: G001, S005

S007 · calculation

Before

recurrence ORIGINAL n=3 ORIGINAL coefficient2 times a_2 := mul(6, 3)

After

recurrence ORIGINAL n=3 ORIGINAL coefficient2 times a_2 = 18

Conditions: none

Substitute original roles,indices and established intermediates exactly,not floating-point approximations or another question's data.

Step identifiers and dependencies

Rule: exact_rational_arithmetic · Uses: G001, S006

S008 · calculation

Before

recurrence ORIGINAL n=3 partial sum after coefficient2 := sum(9, 18)

After

recurrence ORIGINAL n=3 partial sum after coefficient2 = 27

Conditions: none

Substitute original roles,indices and established intermediates exactly,not floating-point approximations or another question's data.

Step identifiers and dependencies

Rule: exact_rational_arithmetic · Uses: G001, S007

S009 · implies

Before

recurrence ORIGINAL:ORIGINAL target n=3;previous state a_(n-r)..a_(n-1)=[1, 2, 3];ALL [j,source_index,coefficient,value,product] rows=[[0, 0, 2, 1, 2], [1, 1, 4, 2, 8], [2, 2, 6, 3, 18]]

After

new a_3=27;next state=[2, 3, 27];drop ONLY oldest state entry then append new scalar;prefix now=[1, 2, 3, 27]

Conditions: none

Multiply each coefficient by its specified original index,add to the constant and check the source safe-integer range.Shift left and append the new scalar;do not reverse coefficients or feed the appended value back into this same update.

Step identifiers and dependencies

Rule: recurrence_EVERY_state_update_shift_left_append_exact · Uses: G001, S008

S010 · calculation

Before

recurrence ORIGINAL n=4 ORIGINAL coefficient0 times a_1 := mul(2, 2)

After

recurrence ORIGINAL n=4 ORIGINAL coefficient0 times a_1 = 4

Conditions: none

Substitute original roles,indices and established intermediates exactly,not floating-point approximations or another question's data.

Step identifiers and dependencies

Rule: exact_rational_arithmetic · Uses: G001, S009

S011 · calculation

Before

recurrence ORIGINAL n=4 partial sum after coefficient0 := sum(-1, 4)

After

recurrence ORIGINAL n=4 partial sum after coefficient0 = 3

Conditions: none

Substitute original roles,indices and established intermediates exactly,not floating-point approximations or another question's data.

Step identifiers and dependencies

Rule: exact_rational_arithmetic · Uses: G001, S010

S012 · calculation

Before

recurrence ORIGINAL n=4 ORIGINAL coefficient1 times a_2 := mul(4, 3)

After

recurrence ORIGINAL n=4 ORIGINAL coefficient1 times a_2 = 12

Conditions: none

Substitute original roles,indices and established intermediates exactly,not floating-point approximations or another question's data.

Step identifiers and dependencies

Rule: exact_rational_arithmetic · Uses: G001, S011

S013 · calculation

Before

recurrence ORIGINAL n=4 partial sum after coefficient1 := sum(3, 12)

After

recurrence ORIGINAL n=4 partial sum after coefficient1 = 15

Conditions: none

Substitute original roles,indices and established intermediates exactly,not floating-point approximations or another question's data.

Step identifiers and dependencies

Rule: exact_rational_arithmetic · Uses: G001, S012

S014 · calculation

Before

recurrence ORIGINAL n=4 ORIGINAL coefficient2 times a_3 := mul(6, 27)

After

recurrence ORIGINAL n=4 ORIGINAL coefficient2 times a_3 = 162

Conditions: none

Substitute original roles,indices and established intermediates exactly,not floating-point approximations or another question's data.

Step identifiers and dependencies

Rule: exact_rational_arithmetic · Uses: G001, S013

S015 · calculation

Before

recurrence ORIGINAL n=4 partial sum after coefficient2 := sum(15, 162)

After

recurrence ORIGINAL n=4 partial sum after coefficient2 = 177

Conditions: none

Substitute original roles,indices and established intermediates exactly,not floating-point approximations or another question's data.

Step identifiers and dependencies

Rule: exact_rational_arithmetic · Uses: G001, S014

S016 · implies

Before

recurrence ORIGINAL:ORIGINAL target n=4;previous state a_(n-r)..a_(n-1)=[2, 3, 27];ALL [j,source_index,coefficient,value,product] rows=[[0, 1, 2, 2, 4], [1, 2, 4, 3, 12], [2, 3, 6, 27, 162]]

After

new a_4=177;next state=[3, 27, 177];drop ONLY oldest state entry then append new scalar;prefix now=[1, 2, 3, 27, 177]

Conditions: none

Step identifiers and dependencies

Rule: recurrence_EVERY_state_update_shift_left_append_exact · Uses: G001, S015

S017 · calculation

Before

recurrence ORIGINAL n=5 ORIGINAL coefficient0 times a_2 := mul(2, 3)

After

recurrence ORIGINAL n=5 ORIGINAL coefficient0 times a_2 = 6

Conditions: none

Substitute original roles,indices and established intermediates exactly,not floating-point approximations or another question's data.

Step identifiers and dependencies

Rule: exact_rational_arithmetic · Uses: G001, S016

S018 · calculation

Before

recurrence ORIGINAL n=5 partial sum after coefficient0 := sum(-1, 6)

After

recurrence ORIGINAL n=5 partial sum after coefficient0 = 5

Conditions: none

Substitute original roles,indices and established intermediates exactly,not floating-point approximations or another question's data.

Step identifiers and dependencies

Rule: exact_rational_arithmetic · Uses: G001, S017

S019 · calculation

Before

recurrence ORIGINAL n=5 ORIGINAL coefficient1 times a_3 := mul(4, 27)

After

recurrence ORIGINAL n=5 ORIGINAL coefficient1 times a_3 = 108

Conditions: none

Substitute original roles,indices and established intermediates exactly,not floating-point approximations or another question's data.

Step identifiers and dependencies

Rule: exact_rational_arithmetic · Uses: G001, S018

S020 · calculation

Before

recurrence ORIGINAL n=5 partial sum after coefficient1 := sum(5, 108)

After

recurrence ORIGINAL n=5 partial sum after coefficient1 = 113

Conditions: none

Substitute original roles,indices and established intermediates exactly,not floating-point approximations or another question's data.

Step identifiers and dependencies

Rule: exact_rational_arithmetic · Uses: G001, S019

S021 · calculation

Before

recurrence ORIGINAL n=5 ORIGINAL coefficient2 times a_4 := mul(6, 177)

After

recurrence ORIGINAL n=5 ORIGINAL coefficient2 times a_4 = 1062

Conditions: none

Substitute original roles,indices and established intermediates exactly,not floating-point approximations or another question's data.

Step identifiers and dependencies

Rule: exact_rational_arithmetic · Uses: G001, S020

S022 · calculation

Before

recurrence ORIGINAL n=5 partial sum after coefficient2 := sum(113, 1062)

After

recurrence ORIGINAL n=5 partial sum after coefficient2 = 1175

Conditions: none

Substitute original roles,indices and established intermediates exactly,not floating-point approximations or another question's data.

Step identifiers and dependencies

Rule: exact_rational_arithmetic · Uses: G001, S021

S023 · implies

Before

recurrence ORIGINAL:ORIGINAL target n=5;previous state a_(n-r)..a_(n-1)=[3, 27, 177];ALL [j,source_index,coefficient,value,product] rows=[[0, 2, 2, 3, 6], [1, 3, 4, 27, 108], [2, 4, 6, 177, 1062]]

After

new a_5=1175;next state=[27, 177, 1175];drop ONLY oldest state entry then append new scalar;prefix now=[1, 2, 3, 27, 177, 1175]

Conditions: none

Step identifiers and dependencies

Rule: recurrence_EVERY_state_update_shift_left_append_exact · Uses: G001, S022

S024 · calculation

Before

recurrence ORIGINAL n=6 ORIGINAL coefficient0 times a_3 := mul(2, 27)

After

recurrence ORIGINAL n=6 ORIGINAL coefficient0 times a_3 = 54

Conditions: none

Substitute original roles,indices and established intermediates exactly,not floating-point approximations or another question's data.

Step identifiers and dependencies

Rule: exact_rational_arithmetic · Uses: G001, S023

S025 · calculation

Before

recurrence ORIGINAL n=6 partial sum after coefficient0 := sum(-1, 54)

After

recurrence ORIGINAL n=6 partial sum after coefficient0 = 53

Conditions: none

Substitute original roles,indices and established intermediates exactly,not floating-point approximations or another question's data.

Step identifiers and dependencies

Rule: exact_rational_arithmetic · Uses: G001, S024

S026 · calculation

Before

recurrence ORIGINAL n=6 ORIGINAL coefficient1 times a_4 := mul(4, 177)

After

recurrence ORIGINAL n=6 ORIGINAL coefficient1 times a_4 = 708

Conditions: none

Substitute original roles,indices and established intermediates exactly,not floating-point approximations or another question's data.

Step identifiers and dependencies

Rule: exact_rational_arithmetic · Uses: G001, S025

S027 · calculation

Before

recurrence ORIGINAL n=6 partial sum after coefficient1 := sum(53, 708)

After

recurrence ORIGINAL n=6 partial sum after coefficient1 = 761

Conditions: none

Substitute original roles,indices and established intermediates exactly,not floating-point approximations or another question's data.

Step identifiers and dependencies

Rule: exact_rational_arithmetic · Uses: G001, S026

S028 · calculation

Before

recurrence ORIGINAL n=6 ORIGINAL coefficient2 times a_5 := mul(6, 1175)

After

recurrence ORIGINAL n=6 ORIGINAL coefficient2 times a_5 = 7050

Conditions: none

Substitute original roles,indices and established intermediates exactly,not floating-point approximations or another question's data.

Step identifiers and dependencies

Rule: exact_rational_arithmetic · Uses: G001, S027

S029 · calculation

Before

recurrence ORIGINAL n=6 partial sum after coefficient2 := sum(761, 7050)

After

recurrence ORIGINAL n=6 partial sum after coefficient2 = 7811

Conditions: none

Substitute original roles,indices and established intermediates exactly,not floating-point approximations or another question's data.

Step identifiers and dependencies

Rule: exact_rational_arithmetic · Uses: G001, S028

S030 · implies

Before

recurrence ORIGINAL:ORIGINAL target n=6;previous state a_(n-r)..a_(n-1)=[27, 177, 1175];ALL [j,source_index,coefficient,value,product] rows=[[0, 3, 2, 27, 54], [1, 4, 4, 177, 708], [2, 5, 6, 1175, 7050]]

After

new a_6=7811;next state=[177, 1175, 7811];drop ONLY oldest state entry then append new scalar;prefix now=[1, 2, 3, 27, 177, 1175, 7811]

Conditions: none

Step identifiers and dependencies

Rule: recurrence_EVERY_state_update_shift_left_append_exact · Uses: G001, S029

S031 · calculation

Before

recurrence ORIGINAL n=7 ORIGINAL coefficient0 times a_4 := mul(2, 177)

After

recurrence ORIGINAL n=7 ORIGINAL coefficient0 times a_4 = 354

Conditions: none

Substitute original roles,indices and established intermediates exactly,not floating-point approximations or another question's data.

Step identifiers and dependencies

Rule: exact_rational_arithmetic · Uses: G001, S030

S032 · calculation

Before

recurrence ORIGINAL n=7 partial sum after coefficient0 := sum(-1, 354)

After

recurrence ORIGINAL n=7 partial sum after coefficient0 = 353

Conditions: none

Substitute original roles,indices and established intermediates exactly,not floating-point approximations or another question's data.

Step identifiers and dependencies

Rule: exact_rational_arithmetic · Uses: G001, S031

S033 · calculation

Before

recurrence ORIGINAL n=7 ORIGINAL coefficient1 times a_5 := mul(4, 1175)

After

recurrence ORIGINAL n=7 ORIGINAL coefficient1 times a_5 = 4700

Conditions: none

Substitute original roles,indices and established intermediates exactly,not floating-point approximations or another question's data.

Step identifiers and dependencies

Rule: exact_rational_arithmetic · Uses: G001, S032

S034 · calculation

Before

recurrence ORIGINAL n=7 partial sum after coefficient1 := sum(353, 4700)

After

recurrence ORIGINAL n=7 partial sum after coefficient1 = 5053

Conditions: none

Substitute original roles,indices and established intermediates exactly,not floating-point approximations or another question's data.

Step identifiers and dependencies

Rule: exact_rational_arithmetic · Uses: G001, S033

S035 · calculation

Before

recurrence ORIGINAL n=7 ORIGINAL coefficient2 times a_6 := mul(6, 7811)

After

recurrence ORIGINAL n=7 ORIGINAL coefficient2 times a_6 = 46866

Conditions: none

Substitute original roles,indices and established intermediates exactly,not floating-point approximations or another question's data.

Step identifiers and dependencies

Rule: exact_rational_arithmetic · Uses: G001, S034

S036 · calculation

Before

recurrence ORIGINAL n=7 partial sum after coefficient2 := sum(5053, 46866)

After

recurrence ORIGINAL n=7 partial sum after coefficient2 = 51919

Conditions: none

Substitute original roles,indices and established intermediates exactly,not floating-point approximations or another question's data.

Step identifiers and dependencies

Rule: exact_rational_arithmetic · Uses: G001, S035

S037 · implies

Before

recurrence ORIGINAL:ORIGINAL target n=7;previous state a_(n-r)..a_(n-1)=[177, 1175, 7811];ALL [j,source_index,coefficient,value,product] rows=[[0, 4, 2, 177, 354], [1, 5, 4, 1175, 4700], [2, 6, 6, 7811, 46866]]

After

new a_7=51919;next state=[1175, 7811, 51919];drop ONLY oldest state entry then append new scalar;prefix now=[1, 2, 3, 27, 177, 1175, 7811, 51919]

Conditions: none

Step identifiers and dependencies

Rule: recurrence_EVERY_state_update_shift_left_append_exact · Uses: G001, S036

S038 · implies

Before

recurrence ORIGINAL:complete ORIGINAL initial state=[1, 2, 3];actual generated prefix=[1, 2, 3, 27, 177, 1175, 7811, 51919]

After

ANY two sequences with SAME r initials and SAME total rule agree at n=3 by substitution,then at every later n by induction;this determines the requested prefix only

Conditions: none

Induct from equality of all r initials:the same single-valued rule gives equality of the next term,and hence every later prefix term.Finite generation proves no closed form,asymptotic behavior or analyticity.

Step identifiers and dependencies

Rule: recurrence_forward_uniqueness_induction_not_analytic_claim · Uses: G001, S037

Reverse checks

S038 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
S037 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
S036 · premise_and_result_audit — Recompute recurrence ORIGINAL n=7 partial sum after coefficient2 with exact rational arithmetic, not rounded decimals.
S035 · premise_and_result_audit — Recompute recurrence ORIGINAL n=7 ORIGINAL coefficient2 times a_6 with exact rational arithmetic, not rounded decimals.
S034 · premise_and_result_audit — Recompute recurrence ORIGINAL n=7 partial sum after coefficient1 with exact rational arithmetic, not rounded decimals.
S033 · premise_and_result_audit — Recompute recurrence ORIGINAL n=7 ORIGINAL coefficient1 times a_5 with exact rational arithmetic, not rounded decimals.
S032 · premise_and_result_audit — Recompute recurrence ORIGINAL n=7 partial sum after coefficient0 with exact rational arithmetic, not rounded decimals.
S031 · premise_and_result_audit — Recompute recurrence ORIGINAL n=7 ORIGINAL coefficient0 times a_4 with exact rational arithmetic, not rounded decimals.
S030 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
S029 · premise_and_result_audit — Recompute recurrence ORIGINAL n=6 partial sum after coefficient2 with exact rational arithmetic, not rounded decimals.
S028 · premise_and_result_audit — Recompute recurrence ORIGINAL n=6 ORIGINAL coefficient2 times a_5 with exact rational arithmetic, not rounded decimals.
S027 · premise_and_result_audit — Recompute recurrence ORIGINAL n=6 partial sum after coefficient1 with exact rational arithmetic, not rounded decimals.
S026 · premise_and_result_audit — Recompute recurrence ORIGINAL n=6 ORIGINAL coefficient1 times a_4 with exact rational arithmetic, not rounded decimals.
S025 · premise_and_result_audit — Recompute recurrence ORIGINAL n=6 partial sum after coefficient0 with exact rational arithmetic, not rounded decimals.
S024 · premise_and_result_audit — Recompute recurrence ORIGINAL n=6 ORIGINAL coefficient0 times a_3 with exact rational arithmetic, not rounded decimals.
S023 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
S022 · premise_and_result_audit — Recompute recurrence ORIGINAL n=5 partial sum after coefficient2 with exact rational arithmetic, not rounded decimals.
S021 · premise_and_result_audit — Recompute recurrence ORIGINAL n=5 ORIGINAL coefficient2 times a_4 with exact rational arithmetic, not rounded decimals.
S020 · premise_and_result_audit — Recompute recurrence ORIGINAL n=5 partial sum after coefficient1 with exact rational arithmetic, not rounded decimals.
S019 · premise_and_result_audit — Recompute recurrence ORIGINAL n=5 ORIGINAL coefficient1 times a_3 with exact rational arithmetic, not rounded decimals.
S018 · premise_and_result_audit — Recompute recurrence ORIGINAL n=5 partial sum after coefficient0 with exact rational arithmetic, not rounded decimals.
S017 · premise_and_result_audit — Recompute recurrence ORIGINAL n=5 ORIGINAL coefficient0 times a_2 with exact rational arithmetic, not rounded decimals.
S016 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
S015 · premise_and_result_audit — Recompute recurrence ORIGINAL n=4 partial sum after coefficient2 with exact rational arithmetic, not rounded decimals.
S014 · premise_and_result_audit — Recompute recurrence ORIGINAL n=4 ORIGINAL coefficient2 times a_3 with exact rational arithmetic, not rounded decimals.
S013 · premise_and_result_audit — Recompute recurrence ORIGINAL n=4 partial sum after coefficient1 with exact rational arithmetic, not rounded decimals.
S012 · premise_and_result_audit — Recompute recurrence ORIGINAL n=4 ORIGINAL coefficient1 times a_2 with exact rational arithmetic, not rounded decimals.
S011 · premise_and_result_audit — Recompute recurrence ORIGINAL n=4 partial sum after coefficient0 with exact rational arithmetic, not rounded decimals.
S010 · premise_and_result_audit — Recompute recurrence ORIGINAL n=4 ORIGINAL coefficient0 times a_1 with exact rational arithmetic, not rounded decimals.
S009 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
S008 · premise_and_result_audit — Recompute recurrence ORIGINAL n=3 partial sum after coefficient2 with exact rational arithmetic, not rounded decimals.
S007 · premise_and_result_audit — Recompute recurrence ORIGINAL n=3 ORIGINAL coefficient2 times a_2 with exact rational arithmetic, not rounded decimals.
S006 · premise_and_result_audit — Recompute recurrence ORIGINAL n=3 partial sum after coefficient1 with exact rational arithmetic, not rounded decimals.
S005 · premise_and_result_audit — Recompute recurrence ORIGINAL n=3 ORIGINAL coefficient1 times a_1 with exact rational arithmetic, not rounded decimals.
S004 · premise_and_result_audit — Recompute recurrence ORIGINAL n=3 partial sum after coefficient0 with exact rational arithmetic, not rounded decimals.
S003 · premise_and_result_audit — Recompute recurrence ORIGINAL n=3 ORIGINAL coefficient0 times a_0 with exact rational arithmetic, not rounded decimals.
S002 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
S001 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.

Result

(3, [1, 2, 3], 7, [1, 2, 3, 27, 177, 1175, 7811, 51919], 51919, exact_forward_application_only)

The full substitutions and premise checks give the original answer; source identity,format and status are unchanged.

This question review and source binding

Review date: 2026-10-26

Original questions, answers, step expressions, numeric ASTs and historical records are retained. Source candidate labels remain historical and are not overwritten as formal proof.

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input commit: 0f7be61e2c22317a4075561dc822c87d881a50db
original question SHA-256: 79ad3841d203d4de9e7e473902b140ab9960829b819d49c12bff275bbad2f98f
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Lean: NOT_RUN · human review: NOT_PERFORMED

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