Design And Test Traffic Jam Assist, A Case Study

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Automated Driving System ToolboxDesign and Test Traffic Jam Assist, A Case StudySeo-Wook ParkPrincipal Application Engineer 2018 The MathWorks, Inc.1

Evolution of ADAS/Autonomous Driving CarL5Full AutomationSelf-Driving CarL4High AutomationSelf-Driving & Human-Driven CarAuto Pilot: Road TrainL3ConditionalAutomationAuto Pilot: ParkingAuto Pilot: HighwayL2AutoPilot: TrafficJam AssistTrafficJam AssistPartial AutomationJunction AssistAEB-VRU (Cyclist)L1AEB-VRU (Pedestrian)DriverAssistanceLane Keep Assist/Lateral SupportAEB-Vehicle (City/Inter-Urban)ACCL0FCWFCW,LDWNo Automation20102014201620182020202520302

ACC and Lane Following Control for Traffic Jam AssistTraffic Jam AssistACCLane FollowingControlTraffic Jam Assist3

Traffic Jam Assist It helps drivers to follow the preceding vehicleautomatically with a predefined time intervalin a dense traffic condition while controlling steering for keeping current lane. Longitudinal control withACC with stop & goLateral control withlane followingPartial/conditional automation at level 2/3โ€“ Speed limit 60 65 km/hโ€“ Dense traffic condition in highway4

Automated Driving System ToolboxDesign and Test Traffic Jam Assist, A Case studyTest caseRun testresultC/C Design ACC and LaneFollowing Controller Create driving scenarioSynthesize sensor detectionInclude Vehicle DynamicsDesign sensor fusion algorithmDesign controller using MPCAutomate RegressionTest Define performanceevaluation metricsDevelop test casesBuild test suitesVerification and validationGenerate and VerifyCode SIL testCode generationCoverage test5

ACC Performance Requirements 15622Ego velocity control : ๐‘ฃ ๐‘ฃ๐‘ ๐‘’๐‘ก๐‘๐œ ๐‘ฃ๐‘where, ๐‘ฃ : ego velocity, ๐‘ฃ๐‘ ๐‘’๐‘ก : set velocity Time gap control:where, ๐œ ๐œ ๐œ๐‘š๐‘–๐‘›๐‘: time gap 1.5 . 2.2 sec๐‘ฃ๐œ๐‘š๐‘–๐‘› : min time gap 0.8 sec ๐‘ฃSubject vehicle(host vehicle, ego vehicle)Forward vehicle(lead vehicle)ACC operation limitsโ€“ Minimum operational speed, ๐‘ฃ๐‘š๐‘–๐‘› 5m/sโ€“ Average automatic deceleration of ACC 3.5 m/s2 (average over 2s)โ€“ Average automatic acceleration of ACC 2.0 m/s26

Lane Following Performance Requirements Vehicle should follow the lane center with allowable lateral deviation.(๐‘‘๐‘™๐‘’๐‘“๐‘ก ๐‘‘๐‘Ÿ๐‘–๐‘”โ„Ž๐‘ก )/2 ๐‘’๐‘š๐‘Ž๐‘ฅLane Markingwhere,๐‘‘๐‘™๐‘’๐‘“๐‘ก : lateral offset of left lane w.r.t. ego car๐‘‘๐‘™๐‘’๐‘“๐‘กLane CenterLane Width2๐‘’๐‘š๐‘Ž๐‘ฅVehicle ๏ฟฝ : lateral offset of right lane w.r.t. ego car๐‘’๐‘š๐‘Ž๐‘ฅ : allowable lateral deviationFor example, ๐‘’๐‘š๐‘Ž๐‘ฅ (๐ฟ๐‘Ž๐‘›๐‘’๐‘Š๐‘–๐‘‘๐‘กโ„Ž ๐‘‰๐‘’โ„Ž๐‘–๐‘๐‘™๐‘’๐‘Š๐‘–๐‘‘๐‘กโ„Ž)/2 (3.6-1.8)/2 0.9 m7

Create Test Scenario using Driving Scenario DesignerTest DescriptionLead car cut in and out in curved highway(curvature of road 1/500 m)Host carinitial velocity 20.6m/sHWT(Headway Time) to lead car 4secHW(Headway) to lead car 80mv set(set velocity for ego car) 21.5m/sLead CarInitially, fast moving car (orange) at 19.4m/sPassing car (yellow) at 19.6m/s cut in the egopath with HWT 2.3s, then cut outThird CarSlow moving car (purple) at 11.1m/sin the 2nd lane8

Simulation with Simulink Model for Traffic Jam AssistTest DescriptionLead car cut in and out in curved highway(curvature of road 1/500 m)Host carinitial velocity 20.6m/sHWT(Headway Time) to lead car 4secHW(Headway) to lead car 80mv set(set velocity for ego car) 21.5m/sLead CarInitially, fast moving car (orange) at 19.4m/sPassing car (yellow) at 19.6m/s cut in the egopath with HWT 2.3s, then cut outThird CarSlow moving car (purple) at 11.1m/sin the 2nd lane9

Simulation with Simulink Model for Traffic Jam AssistTest DescriptionLead car cut in and out in curved highway(curvature of road 1/500 m)Ego VelocityHost carinitial velocity 20.6m/sHWT(Headway Time) to lead car 4secHW(Headway) to lead car 80mv set(set velocity for ego car) 21.5m/sTime GapLead CarInitially, fast moving car (orange) at 19.4m/sPassing car (yellow) at 19.6m/s cut in the egopath with HWT 2.3s, then cut outThird CarSlow moving car (purple) at 11.1m/sin the 2nd laneEgo AccelerationLateral Deviation10

Architecture for ACC and Lane Following ControllerRadarDetectionVisionDetectionSensor Fusionand TrackingFindLead CarAcceleration(Longitudinal)Vehicle and EnvironmentDriving Lane l)EgoLongitudinalVelocityRadar, Vision,Lane DetectionGenerator11

Architecture for ACC and Lane Following onSensor Fusionand TrackingAcceleration(Longitudinal)FindLead CarModelPredictiveControl(MPC)EstimateLane CenterPreviewCurvatureVehicle and EnvironmentDriving itudinalVelocityRadar, Vision,Lane DetectionGenerator12

What is model predictive control (MPC)? Multi-variablecontrol strategyleveraging an internalmodel to predict plantbehavior in the nearfutureOptimizes for thecurrent timeslot whilekeeping futuretimeslots in account Mature control solutionused in industrialapplications Gaining popularity inautomated drivingapplications to improvevehicle responsivenesswhile maintainingpassenger comfortHidden ConnectorOptimizerPlantModelHidden ConnectorMPC controller13

What is model predictive control (MPC)?Measured outputsHidden ConnectorOptimizerReferencesPlantModelManipulated variablesEgoVehicleHidden ConnectorMPC controllerMeasured disturbances14

How can MPC be applied to ACC?and lane following control?๐ฆ๐ข๐ง๐ข๐ฆ๐ข๐ณ๐ž:๐’˜๐Ÿ ๐‘ฝ๐’†๐’ˆ๐’ ๐‘ฝ๐’”๐’†๐’•๐Ÿ ๐’˜๐Ÿ ๐‘ฌ๐’๐’‚๐’•๐’†๐’“๐’‚๐’๐ŸReferences Ego velocity set point (๐‘‰๐‘ ๐‘’๐‘ก ) Target lateral deviation ( 0)Measured disturbances MIO velocity (๐‘‰๐‘š๐‘–๐‘œ ) Previewed road curvature (๐œŒ)๐ฌ๐ฎ๐›๐ฃ๐ž๐œ๐ญ ๐ญ๐จ:๐‘ซ๐’“๐’†๐’๐’‚๐’•๐’Š๐’—๐’† ๐‘ซ๐’”๐’‚๐’‡๐’†๐’‚๐’Ž๐’Š๐’ ๐’‚ ๐’‚๐’Ž๐’‚๐’™๐œน๐’Ž๐’Š๐’ ๐œน ๐œน๐’Ž๐’‚๐’™Hidden ConnectorOptimizerEgo VehicleModelHidden ConnectorMPC controller๐‘‰๐‘’๐‘”๐‘œ , ๐‘ŽMeasured outputs Relative distance (๐ท๐‘Ÿ๐‘’๐‘™๐‘Ž๐‘ก๐‘–๐‘ฃ๐‘’ ) Ego velocity (๐‘‰๐‘’๐‘”๐‘œ ) Lateral deviation (๐ธ๐‘™๐‘Ž๐‘ก๐‘’๐‘Ÿ๐‘Ž๐‘™ ) Relative yaw angle (๐ธ๐‘ฆ๐‘Ž๐‘ค )EgoVehicleManipulated variables Acceleration (๐‘Ž) Steering angle ๏ฟฝ๏ฟฝ๐‘Ž๐‘ค๐œŒ15

Internal MPC model for ACC and Lane Following Controller๐‘‰๐‘ฅ , ๏ฟฝ๏ฟฝ๐‘’Longitudinal model for ACCMeasured outputs (OV) Relative distance (๐ท๐‘Ÿ๐‘’๐‘™๐‘Ž๐‘ก๐‘–๐‘ฃ๐‘’ ) Ego velocity (๐‘‰๐‘’๐‘”๐‘œ ) Lateral deviation (๐ธ๐‘™๐‘Ž๐‘ก๐‘’๐‘Ÿ๐‘Ž๐‘™ ) Relative yaw angle (๐ธ๐‘ฆ๐‘Ž๐‘ค ๏ฟฝ๐‘Ž๐‘‰๐‘š๐‘–๐‘œ ๐‘ ๐‘ฆ๐‘ ๐›ฟ๐œŒManipulated variables (MV) Acceleration (๐‘Ž) Steering angle (๐›ฟ)Measured disturbance (MD) MIO velocity (๐‘‰๐‘š๐‘–๐‘œ ) Previewed road curvature (๐œŒ)Lateral model for Lane ๐‘ฆ๐‘Ž๐‘ค๐œ‘๐œŒX16

Longitudinal and Lateral Model for MPC Longitudinal Model for ๐‘Ž๐‘ก๐‘–๐‘ฃ๐‘’1 ๐œ 10๐ท๐‘Ÿ๐‘’๐‘™๐‘Ž๐‘ก๐‘–๐‘ฃ๐‘’0 0 1 ๐‘‰๐‘ฅ0 1 0 ๐‘‰๐‘ฅแˆถ๐‘‰๐‘ฅ0 00 0 1 0๐ท๐‘Ÿ๐‘’๐‘™๐‘Ž๐‘ก๐‘–๐‘ฃ๐‘’๐‘‰๐‘ฅ , ๐‘Ž1๐ท๐‘Ÿ๐‘’๐‘™๐‘Ž๐‘ก๐‘–๐‘ฃ๐‘’0๐‘Ž 0 0 ๐‘‰๐‘š๐‘–๐‘œ0 1๐œ๐‘‰๐‘ฅแˆถ๐‘‰๐‘ฅy๐‘‘๐‘‘๐‘ก ๏ฟฝ๏ฟฝ๏ฟฝ๐‘Ÿ๐‘’๐‘™๐‘Ž๐‘ก๐‘–๐‘ฃ๐‘’2๐ถ๐‘“ 2๐ถ๐‘Ÿ ๐‘š๐‘‰๐‘ฅ 2๐ถ๐‘“ ๐‘™๐‘“ 2๐ถ๐‘Ÿ ๐‘™๐‘Ÿ๐ผ๐‘ง ๐‘‰๐‘ฅ102๐ถ๐‘“ ๐‘™๐‘“ 2๐ถ๐‘Ÿ ๐‘™๐‘Ÿ ๐‘‰๐‘ฅ ๐‘š๐‘‰๐‘ฅ2๐ถ๐‘“ ๐‘™๐‘“2 2๐ถ๐‘Ÿ ๐‘™๐‘Ÿ2 ๐ผ๐‘ง ๐‘‰๐‘ฅ0100x๐น๐‘ŸLateral Model for Lane Following๐‘‰๐‘ฆ๐œ‘แˆถ๐‘‰๐‘š๐‘–๐‘œ๐œ‘00 ๐‘‰๐‘ฅ0 ๏ฟฝ๏ฟฝ๐‘ฆ๐‘Ž๐‘ค2๐ถ๐‘“๐‘š2๐ถ๐‘“ ๐‘™๐‘“ ๐ผ๐‘ง00๐›ฟ000 1๐‘™๐‘Ÿ๐›ฟ๐‘‰๐‘ฅ ๏ฟฝ๏ฟฝ๐‘Ÿ๐‘Ž๐‘™0 0 1 0 ๐ธ๐‘ฆ๐‘Ž๐‘ค0 0 0 1 ๐‘Ž๐‘ค๐œ‘๐œŒX17

Automated Driving System ToolboxDesign and Test Traffic Jam Assist, A Case studyTest caseRun testresultC/C Design ACC and LaneFollowing Controller Create driving scenarioSynthesize sensor detectionInclude Vehicle DynamicsDesign sensor fusion algorithmDesign controller using MPCAutomate RegressionTest Define performanceevaluation metricsDevelop test casesBuild test suitesVerification and validationGenerate and VerifyCode SIL testCode generationCoverage test18

Simulation result assessmentTest DescriptionLead car cut in and out in curved highway(curvature of road 1/500 m)Ego VelocityHost carinitial velocity 20.6m/sHWT(Headway Time) to lead car 4secHW(Headway) to lead car 80mv set(set velocity for ego car) 21.5m/sTime Gap๐œ ๐œ๐‘š๐‘–๐‘›Lead CarInitially, fast moving car (orange) at 19.4m/sPassing car (yellow) at 19.6m/s cut in the egopath with HWT 2.3s, then cut outThird CarSlow moving car (purple) at 11.1m/sin the 2nd laneEgo AccelerationLateral Deviation๐‘™๐‘Ž๐‘ก๐‘’๐‘Ÿ๐‘Ž๐‘™ ๐‘‘๐‘’๐‘ฃ๐‘–๐‘Ž๐‘ก๐‘–๐‘œ๐‘› ๐‘’๐‘š๐‘Ž๐‘ฅ19

Performance IndicatorLane Followingperformance indicator๐‘™๐‘Ž๐‘ก๐‘’๐‘Ÿ๐‘Ž๐‘™ ๐‘‘๐‘’๐‘ฃ๐‘–๐‘Ž๐‘ก๐‘–๐‘œ๐‘› ๐‘’๐‘š๐‘Ž๐‘ฅ๐‘’๐‘š๐‘Ž๐‘ฅ๐‘๐‘๐œ ๐‘ฃ๐‘ฃACC performance indicator๐œ ๐œ๐‘š๐‘–๐‘›๐œ๐‘š๐‘–๐‘› 0.8๐‘ ๐‘’๐‘20

Performance IndicatorLane Followingperformance indicator๐‘™๐‘Ž๐‘ก๐‘’๐‘Ÿ๐‘Ž๐‘™ ๐‘‘๐‘’๐‘ฃ๐‘–๐‘Ž๐‘ก๐‘–๐‘œ๐‘› ๐‘’๐‘š๐‘Ž๐‘ฅ๐‘’๐‘š๐‘Ž๐‘ฅ๐‘๐‘๐œ ๐‘ฃACC performance indicator๐œ ๐œ๐‘š๐‘–๐‘›๐‘ฃ๐œ๐‘š๐‘–๐‘› 0.8๐‘ ๐‘’๐‘Pass Criteria:1. ACC space control capability (๐‰ ๐‰๐ฆ๐ข๐ง )2. Lane following capability3. No collision detected21

Performance indicator and dashboard in Simulink model22

HW : HeadwayHWT : Headway timev set : set velocity for ego carTest scenarios (1/4)No Test Name1 ACC 01 ISOTargetDiscriminationTestTest DescriptionHost carLead carinitial velocity 30m/s constant accel 24m/s 27m/s @ 2m/s2HWT 2.2sec(HW 66m)Vend 27m/s (97.2kph)Target Discrimination Test1Third car24m/sSpecISO 15622ISO 22178noneISO 22178constantspeed 2.1m/sISO 221782v set 30m/s3 2m/s22 ACC 02 ISOAutoDecelTestinitial velocity 15m/s initial velocity 13.9m/sAutomatic Deceleration Test1HWT 2.2sec(HW 33m)2v set 15m/sdecelerates to full stop with2.5m/s2stop-2.5m/s23 ACC 03 ISOAutoRetargetTestAutomatic Retargeting Capability TestHWT 3s123initial velocity 15m/s initial velocity 13.9m/sHWT 2.2sec(HW 33m)Lead car changes lane @HWT 3s to overtake slowmoving carv set 15m/s23

HW : HeadwayHWT : Headway timev set : set velocity for ego carTest scenarios (2/4)No Test Name4 ACC 04 ISOCurveTestTest DescriptionCurve Capability Test(curvature of test track 1/500 m)Host carLead carinitial velocity 31.6m/s initial velocity 31.6m/sHWT 1.5sec(HW 47.4m)v set 31.6m/sThird carnoneSpecISO 15622ISO 22178Drive at a constant speed for10s,decrease speed by 3.5m/s in2s, and keep it constant.๐‘…-1.75m/s25 ACC 05 StopnGoStop and Go in highwayinitial velocity 27m/s initial velocity 27m/sHWT 1.5sec(HW 40.5m)v set 27m/sLead car slows down to15m/s at -3m/s2 and stayconstant for 7s, then speedup to 25m/s at 2.5m/s28 slow moving Real-worldcars at 12m/s scenarioin the secondlane 2.5m/s2-3m/s224

HW : HeadwayHWT : Headway timev set : set velocity for ego carTest scenarios (3/4)No Test Name6 LFACC 01 DoubleCurveDecelTargetTest DescriptionAutomatic Deceleration TestHost carLead carinitial velocity 22m/s initial velocity 22m/sHWT 2sec(HW 44m)(Similar with ACC 04 ISOCurveTest)v set 22m/sThird carnoneSpecReal-worldscenarioDrive at a constant speed forabout 11s,decrease speed by 3.5m/s in2s (deceleration: -1.8 m/s2)and keep it const.-1.8m/s27 LFACC 02 DoubleCurveAutoRetarget TooSlowAutomatic Retargeting Capability Testinitial velocity 15m/s initial velocity 13.9m/sHWT 2.8sec(HW 43m)(Similar with ACC 03 ISOAutoRetargetTest)Lead car changes lane @HWT 3s to overtake slowmoving carSlow moving ISO 22178car atconstantspeed 2.1m/sv set 15m/s8 LFACC 03 DoubleCurveAutoRetarget(Similar with ACC 03 ISOAutoRetargetTest)Automatic Retargeting Capability Testinitial velocity 15m/s initial velocity 13.9m/sHWT 2.8sec(HW 43m)Lead car changes lane @HWT 3s to overtake slowmoving carSlow moving ISO 22178car atconstantspeed 10m/sv set 15m/s25

HW : HeadwayHWT : Headway timev set : set velocity for ego carTest scenarios (4/4)No Test Name9 LFACC 04 DoubleCurveStopnGoTest DescriptionStop and Go in curved highwayHost carLead carinitial velocity 14m/s initial velocity 14m/sHWT 3.6sec(HW 50m)(Similar withACC 05 StopnGo)v set 14m/sThird carSpec10 slowReal-worldmoving cars scenarioLead car slows down to 8m/s at 8m/s in theat -1.7m/s2 and stay constant 3rd lanefor 10s, then speed up to13m/s at 1.3m/s23 fast movingcars at 15m/sin the 1st lane 1.3m/s2-1.7m/s210LFACC 05 CurveCutInOutLead car cut in and out in curved highway(curvature of road 1/500 m)initial velocity 20.6m/s Initially, fast moving car(orange) at 19.4m/sHWT 4sec(HW 80m)Passing car (yellow) at19.6m/s cut in the ego pathv set 21.5m/swith HWT 2.3s,then cut outSlow moving Real-worldcar (purple) at scenario11.1m/s in the2nd laneRepresentative test scenario11LFACC 06 CurveCutInOut TooCloseLead car cut in and out in curved highway(curvature of road 1/500 m)initial velocity 20.6m/s Initially, fast moving car(orange) at 19.4m/sHWT 4sec(HW 80m)Passing car (yellow) at19.6m/s cut in the ego pathv set 21.5m/swith HWT 1.5s,then cut outSlow moving Real-worldcar (purple) at scenario11.1m/s in the2nd lane26

Test Manager in Simulink Test Automate Simulink model testing using test cases with pass-fail criteriaTest file.mldatxTest suiteLoad testcaseTest case.slmxRun testRequirementslinksSimulationGenerateData Inspector ReportTest caseTest suiteProcessresults27

Requirements EditorRequirements descriptionList of RequirementsTest result status reflectedin Requirements Editor28

Test Report with baseline parameter set for 11 test casesNote) Baseline parameter set was tunedbased on a single test scenario.#1029

Fine-tune control parameters (1/3)Test DescriptionAutomatic Retargeting Capability TestHWT 3s123Host carinitial velocity 15m/sHWT 2.2sec (HW 33m)v set 15m/sLead Carinitial velocity 13.9m/sLead car changes lane @ HWT 3s toovertake slow moving carThird Carconstant speed 2.1m/sSpecISO 2217830

Fine-tune control parameters (1/3)Test DescriptionAutomatic Retargeting Capability TestHWT 3s123Ego VelocityHost carinitial velocity 15m/sHWT 2.2sec (HW 33m)v set 15m/sLead Carinitial velocity 13.9m/sRelative DistanceLead car changes lane @ HWT 3s toovertake slow moving carThird Carconstant speed 2.1m/sAfterTime GapSpecISO 22178BeforeEgo Acceleration31

Fine-tune control parameters (2/3)Test DescriptionStop and Go in highwayHost carinitial velocity 27m/sHWT 1.5sec (HW 40.5m)v set 27m/sLead Carinitial velocity 27m/sThird Car8 slow moving cars at 12m/sin the second laneSpecReal-world scenario32

Fine-tune control parameters (2/3)Test DescriptionStop and Go in highwayEgo VelocityAfterHost carinitial velocity 27m/sHWT 1.5sec (HW 40.5m)v set 27m/sLead Carinitial velocity 27m/sRelative DistanceBeforeTime GapThird Car8 slow moving cars at 12m/sin the second laneSpecReal-world scenarioEgo Acceleration33

Fine-tune control parameters (3/3)Test DescriptionAutomatic Retargeting Capability TestHost carinitial velocity 15m/sHWT 2.8sec (HW 43m)v set 15m/sLead Carinitial velocity 13.9m/sLead car changes lane @ HWT 3s toovertake slow moving carThird CarSlow moving car at constant speed,2.1m/sSpec ISO 2217834

Fine-tune control parameters (3/3)Test DescriptionAutomatic Retargeting Capability TestEgo VelocityHost carinitial velocity 15m/sHWT 2.8sec (HW 43m)v set 15m/sLead Carinitial velocity 13.9m/sRelative DistanceTime GapAfterLead car changes lane @ HWT 3s toovertake slow moving carThird CarSlow moving car at constant speed,2.1m/sBeforeEgo AccelerationSpec ISO 2217835

Baseline vs. Fine-tuned parametersParameter ion assignment threshold formultiObjectTracker5020time gapACC time gap (sec)1.52.0default spacingACC safe distance margin (m)010min acMinimum acceleration (m/s 2)-3.0-3.536

Test Report with fine-tuned parameter set for 11 test cases37

Automated Driving System ToolboxDesign and Test Traffic Jam Assist, A Case studyTest caseRun testresultC/C Design ACC and LaneFollowing Controller Create driving scenarioSynthesize sensor detectionInclude Vehicle DynamicsDesign sensor fusion algorithmDesign controller using MPCAutomate RegressionTest Define performanceevaluation metricsDevelop test casesBuild test suitesVerification and validationGenerate and VerifyCode SIL testCode generationCoverage test38

Simulation with SIL mode39

Code Generation Report40

Aggregated Code Coverage Report41

Automated Driving System ToolboxDesign and Test Traffic Jam Assist, A Case studyTest caseRun testresultC/C Design ACC and LaneFollowing Controller Create driving scenarioSynthesize sensor detectionInclude Vehicle DynamicsDesign sensor fusion algorithmDesign controller using MPCAutomate RegressionTest Define performanceevaluation metricsDevelop test casesBuild test suitesVerification and validationGenerate and VerifyCode SIL testCode generationCoverage test42

Email: seo-wook.park@mathworks.com43

Seo-Wook Park Principal Application Engineer. 2 Evolution of ADAS/Autonomous Driving Car L0 No Automation FCW, LDW L1 Driver Assistance ACC AEB-Vehicle (City/Inter-Urban) Lane Keep Assist/Lateral Support AEB-VRU (Pedestrian) AEB-VRU (Cyclist) Junction Assist L2 Partial Automation Auto Pilot: Traffic Jam Assist L3

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