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Mathematical Understanding of a Starting-Wave in a Queue to Practice of Eliminating Congestion

Research Project

Project/Area Number 25790099
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Computational science
Research InstitutionMusashino University (2014-2017)
Meiji University (2013)

Principal Investigator

TOMOEDA Akiyasu  武蔵野大学, 工学部, 准教授 (70551026)

Project Period (FY) 2013-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2016: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywords渋滞学 / 待ち行列 / 発進波 / セルオートマトン / 交通エントロピー / 分岐解析 / 追従モデル / 反応遅れ / 圧縮性流体
Outline of Final Research Achievements

The keyword of eliminating traffic congestion is "slow-in fast-out". In principle, traffic jams can be shortened by slowly approaching the traffic queue and taking action to quickly get out of the queue. In this research, using the stochastic cellular automaton as the fundamental mathematical model and explicitly incorporating the spatial structure (excluded volume effect) inside the traffic queue which has not been considered in the conventional queuing theory. We have revealed the characteristics of the starting-wave (the chain of reaction). Specifically, the propagation speed of the starting-wave can be characterized by a power function of the density, and in the case where the propagation speed is slow, it is found that the queue is smoothly eliminated by moving from an optimal headway distance.

Report

(6 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Research-status Report
  • 2015 Research-status Report
  • 2014 Research-status Report
  • 2013 Research-status Report
  • Research Products

    (64 results)

All 2018 2017 2016 2015 2014 2013

All Journal Article (12 results) (of which Peer Reviewed: 12 results,  Acknowledgement Compliant: 4 results,  Open Access: 1 results) Presentation (50 results) (of which Int'l Joint Research: 3 results,  Invited: 33 results) Book (1 results) Patent(Industrial Property Rights) (1 results)

  • [Journal Article] ある非局所非線形発展方程式の差分化2018

    • Author(s)
      薩摩 順吉,友枝 明保
    • Journal Title

      武蔵野大学数理工学センター紀要

      Volume: 3 Pages: 7-11

    • NAID

      120006408970

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Bifurcation structure of a car-following model with nonlinear dependence on the relative velocity2017

    • Author(s)
      A. Tomoeda, T. Miyaji, Tomoyuki, K. Ikeda
    • Journal Title

      Transportmetrica A: Transport Science

      Volume: 14 Issue: 5-6 Pages: 503-519

    • DOI

      10.1080/23249935.2017.1351007

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Bifurcation Structure of a Novel Car-following Model with Nonlinear Dependence on the Relative Velocity Effect2017

    • Author(s)
      Akiyasu Tomoeda, Tomoyuki Miyaji and Kota Ikeda
    • Journal Title

      TransportmetricaA

      Volume: 印刷中

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] 自己駆動粒子モデルにおける「群れ」の特徴付け2017

    • Author(s)
      谷村 優太,友枝 明保,木下 修一,矢崎 成俊
    • Journal Title

      武蔵野大学数理工学センター紀要(ISSN 2424-0524)

      Volume: 2 Pages: 20-38

    • NAID

      120006307310

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] 相対速度を考慮したある追従モデルの分岐構造について2016

    • Author(s)
      友枝 明保, 宮路 智行, 池田 幸太
    • Journal Title

      武蔵野大学数理工学センター紀要

      Volume: 1 Pages: 54-64

    • NAID

      120005837902

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Bifurcation Analysis of Experimentally Accessible Car-Following Model2016

    • Author(s)
      Akiyasu Tomoeda, Tomoyuki Miyaji and Kota Ikeda
    • Journal Title

      Traffic and Granular Flow'15

      Volume: 000 Pages: 00-00

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Reduced model from a reaction-diffusion system of collectivemotion of camphor boats2015

    • Author(s)
      Shin-Ichiro Ei, Kota Ikeda, Masaharu Nagayama and Akiyasu Tomoeda
    • Journal Title

      Discrete and Continuous Dynamical Systems - Series S (DCDS-S)

      Volume: 8 Pages: 847-856

    • Related Report
      2015 Research-status Report
    • Peer Reviewed
  • [Journal Article] Application of a center manifold theory to a reaction-diffusion system of collective motion of camphor disks and boats2014

    • Author(s)
      Ei Shin-Ichiro, Ikeda Kota, Nagayama Masaharu, Tomoeda Akiyasu
    • Journal Title

      Mathematica Bohemica

      Volume: 139 Pages: 363-371

    • Related Report
      2014 Research-status Report
    • Peer Reviewed
  • [Journal Article] Computational Creation of a New Illusionary Solid Sign with Shading Effect2014

    • Author(s)
      Akiyasu Tomoeda and Kokichi Sugihara
    • Journal Title

      Symposium MEIS2014: Mathematical Progress in Expressive Image Synthesis,MI Lecture Notes 2014

      Volume: 58 Pages: 77-80

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Analytical investigation of the faster-is-slower effect with a simplified phenomenological model2013

    • Author(s)
      K. Suzuno, A. Tomoeda, and D. Ueyama
    • Journal Title

      Phys. Rev. E

      Volume: 88 Issue: 5 Pages: 0528131-5

    • DOI

      10.1103/physreve.88.052813

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Theory of jam-absorption driving2013

    • Author(s)
      Ryosuke Nishi, Akiyasu Tomoeda, Kenichiro Shimura and Katsuhiro Nishinari
    • Journal Title

      Transportation Research Part B

      Volume: 50 Pages: 116-129

    • DOI

      10.1016/j.trb.2013.02.003

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Walking-distance introduced queueing model for pedestrian queueing system: Theoretical analysis and experimental verification2013

    • Author(s)
      Daichi Yanagisawa, Yushi Suma, Akiyasu Tomoeda, Ayako Miura, Kazumichi Ohtsuka, and Katsuhiro Nishinari
    • Journal Title

      Transportation Research Part C: Emerging Technologies

      Volume: 37 Pages: 238-259

    • DOI

      10.1016/j.trc.2013.04.008

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Presentation] 非局所相互作用を考慮した交通流モデルの構築に向けて2018

    • Author(s)
      友枝明保
    • Organizer
      研究集会「数学と現象 in 清里」
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] 渋滞学入門:Rule184CAで見る交通渋滞2018

    • Author(s)
      友枝明保
    • Organizer
      MMDS主催 数値シミュレーション入門セミナー 有限要素法ソフトウェアFreefem++講習会 中級編
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Jamology - from Mathematical Modeling towards Practical Use on Traffic Flow2018

    • Author(s)
      Tomoeda Akiyasu
    • Organizer
      International Conference on Recent Advances in Mathematical and Physical Sciences (ICRAMPS2018)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 交通流モデルとしてのASEPとその周辺2017

    • Author(s)
      友枝明保
    • Organizer
      界面現象の数理・モデリング研究合宿2017
    • Related Report
      2017 Annual Research Report
  • [Presentation] 群集行動を記述する数理モデル研究からの示唆2017

    • Author(s)
      友枝明保
    • Organizer
      研究集会「数学と現象 in 奥多摩」
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] 現象を数字で表すということ ~渋滞から錯覚まで~2017

    • Author(s)
      友枝明保
    • Organizer
      理工系研究学生のための交流合宿
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] 避難行動を記述する数理モデルからの示唆と実証実験2017

    • Author(s)
      友枝明保
    • Organizer
      東京理科大学理工学研究科 横断型コース「防災リスク管理コース」平成29年度第1回セミナー
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] 交通リスクとしての渋滞とその解消に向けての数理2017

    • Author(s)
      友枝明保
    • Organizer
      筑波大学リスク工学研究会
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] 実験データに基づく相対速度効果を導入した交通流モデルとその計算機援用分岐解析2017

    • Author(s)
      友枝明保
    • Organizer
      北海道大学理学部数学科 偏微分方程式セミナー
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] 交通流現象の数理モデリング~Mathematicaで見る数理モデルの特徴~2017

    • Author(s)
      友枝明保
    • Organizer
      Wolfram コンファレンス 2017 JIKEI
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] 非線形な相対速度効果を導入した交通流モデルとその分岐解析2017

    • Author(s)
      友枝明保
    • Organizer
      第2回数理セミナー「幾何学と物理学の接点」
    • Place of Presentation
      摂南大学寝屋川キャンパス
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] 交通流におけるエントロピーについて2017

    • Author(s)
      友枝明保
    • Organizer
      研究集会「数学と現象 in 清里」
    • Place of Presentation
      明治大学清里セミナーハウス
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] 非線形な相対速度効果を導入した交通流モデルについて2017

    • Author(s)
      友枝明保
    • Organizer
      第9回福島応用数学研究集会
    • Place of Presentation
      コラッセ福島
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] 相対速度を考慮した交通流モデルの計算機援用解析-分岐構造からみる相対速度の効果について-2016

    • Author(s)
      友枝明保
    • Organizer
      第21回さいたま数理解析セミナー
    • Place of Presentation
      埼玉大学サテライトキャンパス(大宮ソニックシティ5階)
    • Year and Date
      2016-05-07
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] 渋滞とセルオートマトンとMathematica2016

    • Author(s)
      友枝明保
    • Organizer
      数学ソフトウェアとフリードキュメント XXII
    • Place of Presentation
      筑波大学(茨城県つくば市)
    • Year and Date
      2016-03-15
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] 相対速度を考慮した追従モデルにおける一様流と渋滞流の分岐について2016

    • Author(s)
      友枝明保
    • Organizer
      武蔵野大学・明治大学・龍谷大学合同シンポジウム
    • Place of Presentation
      龍谷大学(滋賀県大津市)
    • Year and Date
      2016-02-10
    • Related Report
      2015 Research-status Report
  • [Presentation] 交通流現象を記述する追従モデルとその分岐構造について2016

    • Author(s)
      友枝明保
    • Organizer
      研究集会「数学と現象 in 檜原湖」
    • Place of Presentation
      明治大学檜原湖セミナーハウス(福島県那間郡)
    • Year and Date
      2016-02-02
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] 道路環境に潜む錯視がもたらす交通事故の危険性2016

    • Author(s)
      友枝明保
    • Organizer
      第9回トラフィックセイフティ部門委員会
    • Place of Presentation
      自動車技術会(東京都千代田区)
    • Year and Date
      2016-01-15
    • Related Report
      2015 Research-status Report
  • [Presentation] A Stating-Wave in a Queue2016

    • Author(s)
      Akiyasu Tomoeda
    • Organizer
      研究集会「数学と現象 in 奥多摩」
    • Place of Presentation
      奥多摩
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] 相対速度を考慮した交通流モデルの分岐解析2016

    • Author(s)
      友枝明保
    • Organizer
      数理で解き明かす森羅万象~小林亮と“ゆかい”な仲間たちの研究会~
    • Place of Presentation
      広島大学
    • Related Report
      2016 Research-status Report
  • [Presentation] 交通流の数理-数理モデルでの表現・解析・理解・発展2016

    • Author(s)
      友枝明保
    • Organizer
      日本応用数理学会 2016年度年会
    • Place of Presentation
      北九州国際会議場
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] 交通流モデルとしてのBurgers方程式とその拡張に向けて2016

    • Author(s)
      友枝明保
    • Organizer
      応用可積分系若手セミナー
    • Place of Presentation
      芝浦工業大学
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] 交通流の数理-数理モデルで紐解く渋滞現象-2016

    • Author(s)
      友枝明保
    • Organizer
      筑波大学・数学域・談話会
    • Place of Presentation
      筑波大学
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] Cellular Automaton Modelling of SDP System and its Applications in 1D Traffic Flow2016

    • Author(s)
      Akiyasu Tomoeda
    • Organizer
      4th International Workshop on Applications and Fundamentals of Cellular Automata (AFCA'16)
    • Place of Presentation
      Higashi Hiroshima Arts and Culture Hall
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Bifurcation Analysis of Experimentally Accessible Car-Following Model2015

    • Author(s)
      Akiyasu Tomoeda
    • Organizer
      Traffic and Granular Flow'15
    • Place of Presentation
      Nootdorp (Netherlands)
    • Year and Date
      2015-10-27
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] 相対速度を考慮した交通流モデルとその分岐構造について2015

    • Author(s)
      友枝明保
    • Organizer
      日本応用数理学会 2015年度年会
    • Place of Presentation
      金沢大学(石川県金沢市)
    • Year and Date
      2015-09-09
    • Related Report
      2015 Research-status Report
  • [Presentation] 新しい交通流モデルとその分岐解析2015

    • Author(s)
      友枝明保
    • Organizer
      研究集会「数学と現象 in 伊豆大島」
    • Place of Presentation
      大島町役場大会議室(東京都大島町)
    • Year and Date
      2015-07-29
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] 計算錯覚学:幾何計算による現象の理解から錯覚作品の創作へ2015

    • Author(s)
      友枝明保
    • Organizer
      第2回 JST CREST「数学」領域横断若手合宿
    • Place of Presentation
      志賀島
    • Year and Date
      2015-03-09 – 2015-03-11
    • Related Report
      2014 Research-status Report
  • [Presentation] 乗客輸送を考慮した公共交通の数理モデル -- ビッグデータの活用に向けて --2015

    • Author(s)
      友枝明保
    • Organizer
      第4回臨海地区産学官連携フォーラム
    • Place of Presentation
      独立行政法人 産業技術総合研究所臨海副都心センター
    • Year and Date
      2015-01-29
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] Jamology : Cellular Automaton Models and Related Topics2015

    • Author(s)
      Akiyasu Tomoeda
    • Organizer
      International Conference on Mathematical Modeling and Applications (ICMMA2014) 'Crowd Dynamics'
    • Place of Presentation
      Meiji university, Japan
    • Year and Date
      2015-01-10 – 2015-01-12
    • Related Report
      2014 Research-status Report
  • [Presentation] ボロノイ図と陰影計算を用いたホロウマスク錯視型立体の設計2014

    • Author(s)
      友枝明保
    • Organizer
      2014年度日本図学会秋季大会
    • Place of Presentation
      東京藝術大学美術学部中央棟
    • Year and Date
      2014-11-29 – 2014-11-30
    • Related Report
      2014 Research-status Report
  • [Presentation] Computational Creation of a New Illusionary Solid Sign with Shading Effect2014

    • Author(s)
      Akiyasu Tomoeda
    • Organizer
      Symposium MEIS2014: Mathematical Progress in Expressive Image Synthesis
    • Place of Presentation
      Kyushu University, japan
    • Year and Date
      2014-11-12 – 2014-11-14
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] Jamology - from Mathematical Modeling to Engineering Applications2014

    • Author(s)
      Akiyasu Tomoeda
    • Organizer
      2nd Slovak - Japan Conference on Applied Mathematics
    • Place of Presentation
      Radzovce - Obrucna, Cerova vrchovina, Slovakia
    • Year and Date
      2014-09-14 – 2014-09-18
    • Related Report
      2014 Research-status Report
  • [Presentation] Jamology - from mathematical modeling and analysis to engineering applications2014

    • Author(s)
      Akiyasu Tomoeda
    • Organizer
      10TH AIMS International conference on Dynamical Systems, Differential Equations and Applications
    • Place of Presentation
      Universidad Autonoma de Madrid, Spain
    • Year and Date
      2014-07-07 – 2014-07-11
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] 渋滞解消運転術が導く自己組織化2014

    • Author(s)
      友枝明保
    • Organizer
      第8回自己組織化討論会
    • Place of Presentation
      晴海グランドホテル
    • Year and Date
      2014-06-29 – 2014-06-30
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] 自己駆動粒子の集団運動と渋滞2014

    • Author(s)
      友枝明保
    • Organizer
      アクティブマター談話会
    • Place of Presentation
      北陸先端科学技術大学院大学(JAIST) 東京サテライト
    • Year and Date
      2014-05-28
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] 渋滞学と形状最適化2014

    • Author(s)
      友枝明保
    • Organizer
      連続体のトポロジー最適化理論の現実問題への応用
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2014-05-07 – 2014-05-09
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] 錯視現象の制御に向けて:アートから交通まで2014

    • Author(s)
      友枝 明保,小野 隼,杉原 厚吉
    • Organizer
      合原FIRST/西浦CREST合同シンポジウム
    • Place of Presentation
      JST東京本部別館
    • Related Report
      2013 Research-status Report
  • [Presentation] 自然渋滞と縦断勾配錯視2014

    • Author(s)
      友枝 明保
    • Organizer
      第1回JST CREST「数学」領域横断若手合宿~冬の学校~
    • Place of Presentation
      指宿
    • Related Report
      2013 Research-status Report
  • [Presentation] 計算錯覚学:計算による錯視作品の創作2014

    • Author(s)
      友枝 明保
    • Organizer
      第1回JST CREST「数学」領域横断若手合宿~冬の学校~
    • Place of Presentation
      指宿
    • Related Report
      2013 Research-status Report
  • [Presentation] 幾何計算による錯視作品の創作とその実用化に向けて2014

    • Author(s)
      友枝 明保
    • Organizer
      北陸応用数理研究会
    • Place of Presentation
      金沢大学
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] 自然渋滞の解明から渋滞させない運転術の実践へ2013

    • Author(s)
      友枝 明保
    • Organizer
      明治大学大学院先端数理科学研究科 現象数理学専攻 先端数理科学研究総合講義A
    • Place of Presentation
      明治大学
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] 渋滞解消に向けて:発進波の伝播現象から道路の錯視現象まで2013

    • Author(s)
      友枝 明保
    • Organizer
      芝浦工業大学談話会
    • Place of Presentation
      芝浦工業大学
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] "はぐれ矢印":錯視立体と陰影計算2013

    • Author(s)
      友枝 明保
    • Organizer
      日本応用数理学会 2013年度年会
    • Place of Presentation
      アクロス福岡
    • Related Report
      2013 Research-status Report
  • [Presentation] 自然渋滞の数理的解明から渋滞解消運転の実践へ2013

    • Author(s)
      友枝 明保
    • Organizer
      Joint workshop on pure and applied mathematics
    • Place of Presentation
      東北大学
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] 自然渋滞の解明から解消へ:数理モデルと実証2013

    • Author(s)
      友枝 明保
    • Organizer
      研究集会 「数学と現象:Mathematics and Phenomena in Miyazaki2013」
    • Place of Presentation
      宮崎大学
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] 錯視現象を計算する:ホロウマスク錯視とフットステップ錯視2013

    • Author(s)
      友枝 明保
    • Organizer
      JSIAM若手の会
    • Place of Presentation
      東京大学
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Starting Wave in a Queue of Pedestrians and an Analogy with Compressible Fluid Flow2013

    • Author(s)
      Akiyasu TOMOEDA
    • Organizer
      2013 SIAM Annual Meeting
    • Place of Presentation
      California, USA
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Traffic jam: a new method to reduce drivers' illusion of the road slope by drawing stripe patterns on the side walls2013

    • Author(s)
      Akiyasu TOMOEDA, Seiichi Tsuinashi, Akiyoshi Kitaoka, Kokichi Sugihara
    • Organizer
      36th European Conference on Visual Perception (ECVP2013)
    • Place of Presentation
      Bremen, Germany
    • Related Report
      2013 Research-status Report
  • [Presentation] Escape Velocity of the Leader in a Queue of Pedestrians2013

    • Author(s)
      Akiyasu TOMOEDA, Daichi Yanagisawa, Takashi Imamura, and Katsuhiro Nishinari
    • Organizer
      Traffic and Granular Flow'13
    • Place of Presentation
      Julich, Germany
    • Related Report
      2013 Research-status Report
  • [Book] 現象数理学入門 (第3章: 社会の現象数理--渋滞学入門)2013

    • Author(s)
      友枝 明保,西成 活裕
    • Total Pages
      216
    • Publisher
      東京大学出版会
    • Related Report
      2013 Research-status Report
  • [Patent(Industrial Property Rights)] 時計装置及び時計プログラム2013

    • Inventor(s)
      杉原厚吉,友枝明保,小野隼
    • Industrial Property Rights Holder
      杉原厚吉,友枝明保,小野隼
    • Industrial Property Rights Type
      特許
    • Industrial Property Number
      2013-110085
    • Filing Date
      2013-05-24
    • Related Report
      2013 Research-status Report

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Published: 2014-07-25   Modified: 2019-07-29  

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