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ORCIDHong Xie 0004
Person information
- affiliation: Chinese University of Hong Kong, Department of Computer Science and Engineering, Hong Kong
- affiliation (2015 - 2017): National University of Singapore, School of Computing, Singapore
- affiliation (PhD 2015): Chinese University of Hong Kong, Department of Computer Science and Engineering, Hong Kong
Other persons with the same name
- Hong Xie — disambiguation page
- Hong Xie 0001 — Shanghai Maritime University, Department of Electrical Engineering Department, China
- Hong Xie 0002
![[0000-0002-2392-1342]](https://dblp.dagstuhl.de/img/orcid-mark.12x12.png "0000-0002-2392-1342")
— Wuhan University, School of Geodesy and Geomatics, China - Hong Xie 0003 — Murdoch University, School of Engineering and Information Technology, Perth, Australia
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2020 – today
- 2024
[j41]Tao Tan, Hong Xie, Liang Feng:
Q-learning with heterogeneous update strategy. Inf. Sci. 656: 119902 (2024)- [j40]Haoran Gu, Yunni Xia, Hong Xie, Xiaoyu Shi, Mingsheng Shang:
Robust and efficient algorithms for conversational contextual bandit. Inf. Sci. 657: 119993 (2024) - [j39]Tao Tan, Hong Xie, Yunni Xia, Xiaoyu Shi, Mingsheng Shang:
Asynchronous SGD with stale gradient dynamic adjustment for deep learning training. Inf. Sci. 681: 121220 (2024) - [j38]Gengzhi Zhang, Liang Feng, Yu Wang, Min Li, Hong Xie, Kay Chen Tan:
Reinforcement Learning With Adaptive Policy Gradient Transfer Across Heterogeneous Problems. IEEE Trans. Emerg. Top. Comput. Intell. 8(3): 2213-2227 (2024) - [j37]Hong Xie, Mingze Zhong, Xiaoyu Shi, Xiaoying Zhang, Jiang Zhong, Mingsheng Shang:
Probabilistic Modeling of Assimilate-Contrast Effects in Online Rating Systems. IEEE Trans. Knowl. Data Eng. 36(2): 795-808 (2024) - [j36]Xuchuang Wang, Hong Xie, John C. S. Lui:
Analyzing Queueing Problems via Bandits With Linear Reward & Nonlinear Workload Fairness. IEEE Trans. Mob. Comput. 23(4): 3410-3423 (2024) - [j35]Xiaoyu Shi, Quanliang Liu, Hong Xie, Di Wu, Bo Peng, Mingsheng Shang, Defu Lian:
Relieving Popularity Bias in Interactive Recommendation: A Diversity-Novelty-Aware Reinforcement Learning Approach. ACM Trans. Inf. Syst. 42(2): 52:1-52:30 (2024) - [j34]Xiaoyu Shi, Quanliang Liu, Hong Xie, Yanan Bai, Mingsheng Shang:
Maximum Entropy Policy for Long-Term Fairness in Interactive Recommender Systems. IEEE Trans. Serv. Comput. 17(3): 1029-1043 (2024) - [c41]Hantao Yang, Xutong Liu, Zhiyong Wang, Hong Xie, John C. S. Lui, Defu Lian, Enhong Chen:
Federated Contextual Cascading Bandits with Asynchronous Communication and Heterogeneous Users. AAAI 2024: 20596-20603 - [c40]Zhaoyi Li, Gangwei Jiang, Hong Xie, Linqi Song, Defu Lian, Ying Wei:
Understanding and Patching Compositional Reasoning in LLMs. ACL (Findings) 2024: 9668-9688 - [c39]Chongjun Xia, Xiaoyu Shi, Hong Xie, Quanliang Liu, Mingsheng Shang:
Hierarchical Reinforcement Learning for Long-term Fairness in Interactive Recommendation. ICWS 2024: 300-309 - [c38]Tao Tan, Hong Xie, Defu Lian:
Adaptive Order Q-learning. IJCAI 2024: 4946-4954 - [i21]Zhaoyi Li, Gangwei Jiang, Hong Xie, Linqi Song, Defu Lian, Ying Wei:
Understanding and Patching Compositional Reasoning in LLMs. CoRR abs/2402.14328 (2024) - [i20]Hantao Yang, Xutong Liu, Zhiyong Wang, Hong Xie, John C. S. Lui, Defu Lian, Enhong Chen:
Federated Contextual Cascading Bandits with Asynchronous Communication and Heterogeneous Users. CoRR abs/2402.16312 (2024) - [i19]Yu Huang, Min Zhou, Menglin Yang, Zhen Wang, Muhan Zhang, Jie Wang, Hong Xie, Hao Wang, Defu Lian, Enhong Chen:
Foundations and Frontiers of Graph Learning Theory. CoRR abs/2407.03125 (2024) - [i18]Hong Xie, Jinyu Mo, Defu Lian, Jie Wang, Enhong Chen:
Multi-agent Multi-armed Bandits with Stochastic Sharable Arm Capacities. CoRR abs/2408.10865 (2024) - [i17]Hong Xie, Mingze Zhong, Defu Lian, Zhen Wang, Enhong Chen:
Analytical and Empirical Study of Herding Effects in Recommendation Systems. CoRR abs/2408.10895 (2024) - [i16]Luyue Xu, Liming Wang, Hong Xie, Mingqiang Zhou:
Contextual Bandit with Herding Effects: Algorithms and Recommendation Applications. CoRR abs/2408.14432 (2024) - 2023
- [j33]Hong Xie, Haoran Gu, Zhi Qi:
Efficient algorithms for multi-armed bandits with additional feedbacks: Modeling and algorithms. Inf. Sci. 633: 453-468 (2023) - [j32]Xuchuang Wang, Hong Xie, Pinghui Wang, John C. S. Lui:
Optimizing recommendations under abandonment risks: Models and algorithms. Perform. Evaluation 161: 102351 (2023) - [j31]Xiaoying Zhang, Hong Xie, Pei Yi, John C. S. Lui:
Enhancing Sybil Detection via Social-Activity Networks: A Random Walk Approach. IEEE Trans. Dependable Secur. Comput. 20(2): 1213-1227 (2023) - [j30]Hong Xie, Pei Yi, Yongkun Li, John C. S. Lui:
Optimizing Random Walk Based Statistical Estimation Over Graphs via Bootstrapping. IEEE Trans. Knowl. Data Eng. 35(3): 2916-2929 (2023) - [j29]Rui Wang, Yongkun Li, Shuai Lin, Weijie Wu, Hong Xie, Yinlong Xu, John C. S. Lui:
Common Neighbors Matter: Fast Random Walk Sampling With Common Neighbor Awareness. IEEE Trans. Knowl. Data Eng. 35(5): 4570-4584 (2023) - [j28]Tingwei Liu, Hong Xie, John C. S. Lui:
Online Zero-Cost Learning: Optimizing Large Scale Network Rare Threats Simulation. IEEE Trans. Mob. Comput. 22(1): 356-373 (2023) - [j27]Hong Xie, John C. S. Lui:
Quantifying Worker Reliability for Crowdsensing Applications: Robust Feedback Rating and Convergence. IEEE Trans. Mob. Comput. 22(1): 459-471 (2023) - [j26]Xiongxiao Xu, Hong Xie, John C. S. Lui:
Generalized Contextual Bandits With Latent Features: Algorithms and Applications. IEEE Trans. Neural Networks Learn. Syst. 34(8): 4763-4775 (2023) - [j25]Hong Xie, Qiao Tang, Qingsheng Zhu:
A Multiplier Bootstrap Approach to Designing Robust Algorithms for Contextual Bandits. IEEE Trans. Neural Networks Learn. Syst. 34(12): 9887-9899 (2023) - [j24]Shiyuan Zheng, Hong Xie, John C. S. Lui:
Pricing Social Visibility Service in Online Social Networks: Modeling and Algorithms. IEEE Trans. Netw. Sci. Eng. 10(2): 859-870 (2023) - [j23]Hong Xie, John C. S. Lui:
Cooperation Preference Aware Shapley Value: Modeling, Algorithms and Applications. IEEE/ACM Trans. Netw. 31(6): 2439-2453 (2023) - [c37]Kexiang Zeng, Xiaoyu Shi, Hong Xie, Mingsheng Shang:
Contrastive Learning based Item Representation with Asymmetric Augmentation for Sequential Recommendation. ADMIT 2023: 68-73 - [c36]Zhi Qi, Hong Xie, Mingsheng Shang:
A Predictive Coding Approach to Multivariate Time Series Anomaly Detection. DASFAA (1) 2023: 188-204 - [c35]Xiaoyu Shi, Quanliang Liu, Hong Xie, Mingsheng Shang:
Towards Long-term Fairness in Interactive Recommendation: A Maximum Entropy Reinforcement Learning Approach. ICWS 2023: 118-123 - [c34]Jinyu Mo, Hong Xie, Xiaoyu Shi, Mingsheng Shang:
CGCCMR: An Enhanced Multi-gate Model for Cross-Market Recommendation. IJCNN 2023: 1-8 - [c33]Xutong Liu, Jinhang Zuo, Hong Xie, Carlee Joe-Wong, John C. S. Lui:
Variance-Adaptive Algorithm for Probabilistic Maximum Coverage Bandits with General Feedback. INFOCOM 2023: 1-10 - [c32]Xiaoying Zhang, Junpu Chen, Hongning Wang, Hong Xie, Yang Liu, John C. S. Lui, Hang Li:
Uncertainty-Aware Instance Reweighting for Off-Policy Learning. NeurIPS 2023 - [c31]Liming Wang, Hong Xie, Ye Li, Jian Tan, John C. S. Lui:
Interactive Log Parsing via Light-weight User Feedback. WWW 2023: 1960-1968 - [i15]Liming Wang, Hong Xie, Ye Li, Jian Tan, John C. S. Lui:
Interactive Log Parsing via Light-weight User Feedbacks. CoRR abs/2301.12225 (2023) - [i14]Xiaoying Zhang, Junpu Chen, Hongning Wang, Hong Xie, Hang Li:
Uncertainty-Aware Off-Policy Learning. CoRR abs/2303.06389 (2023) - [i13]Jin Zhang, Defu Lian, Hong Xie, Yawen Li, Enhong Chen:
Interactive Graph Convolutional Filtering. CoRR abs/2309.01453 (2023) - [i12]Ruimeng Li, Yuanhao Pu, Zhaoyi Li, Hong Xie, Defu Lian:
Invariant Representation Learning via Decoupling Style and Spurious Features. CoRR abs/2312.06226 (2023) - 2022
- [j22]Xiaoying Zhang, Hong Xie, John C. S. Lui:
Improving Bandit Learning Via Heterogeneous Information Networks: Algorithms and Applications. ACM Trans. Knowl. Discov. Data 16(6): 111:1-111:25 (2022) - [j21]Li Ye, Hong Xie, Yishi Lin, John C. S. Lui:
Rewarding Social Recommendation in OSNs: Empirical Evidences, Modeling and Optimization. IEEE Trans. Knowl. Data Eng. 34(9): 4410-4424 (2022) - [j20]Hong Xie, John C. S. Lui:
A Reinforcement Learning Approach to Price Cloud Resources With Provable Convergence Guarantees. IEEE Trans. Neural Networks Learn. Syst. 33(12): 7448-7460 (2022) - [j19]Shiyuan Zheng, Hong Xie, John C. S. Lui:
Optimizing Social Visibility in OSNs With Anonymity Guarantees: Efficient Algorithms and Applications. IEEE Trans. Netw. Sci. Eng. 9(4): 2237-2251 (2022) - [j18]Rui Wang, Yongkun Li, Yinlong Xu, Hong Xie, John C. S. Lui, Shuibing He:
Toward Fast and Scalable Random Walks over Disk-Resident Graphs via Efficient I/O Management. ACM Trans. Storage 18(4): 36:1-36:33 (2022) - [c30]Xuchuang Wang, Hong Xie, John C. S. Lui:
Multiple-Play Stochastic Bandits with Shareable Finite-Capacity Arms. ICML 2022: 23181-23212 - [c29]Shiyuan Zheng, Xudong Liu, Hong Xie, John C. S. Lui:
Reposting Service in Online Social Networks: Modeling and Online Incentive Protocols. ICNP 2022: 1-11 - [c28]Xuchuang Wang, Hong Xie, John C. S. Lui:
Multi-Player Multi-Armed Bandits with Finite Shareable Resources Arms: Learning Algorithms & Applications. IJCAI 2022: 3537-3543 - [i11]Xuchuang Wang, Hong Xie, John C. S. Lui:
Multi-Player Multi-Armed Bandits with Finite Shareable Resources Arms: Learning Algorithms & Applications. CoRR abs/2204.13502 (2022) - [i10]Zhi Qi, Hong Xie, Ye Li, Jian Tan, Feifei Li, John C. S. Lui:
LPC-AD: Fast and Accurate Multivariate Time Series Anomaly Detection via Latent Predictive Coding. CoRR abs/2205.08362 (2022) - [i9]Xuchuang Wang, Hong Xie, John C. S. Lui:
Multiple-Play Stochastic Bandits with Shareable Finite-Capacity Arms. CoRR abs/2206.08776 (2022) - 2021
- [j17]Hong Xie, Mingze Zhong, Yongkun Li, John C. S. Lui:
Understanding Persuasion Cascades in Online Product Rating Systems: Modeling, Analysis, and Inference. ACM Trans. Knowl. Discov. Data 15(3): 36:1-36:29 (2021) - [j16]Rui Wang, Yongkun Li, Shuai Lin, Hong Xie, Yinlong Xu, John C. S. Lui:
On Modeling Influence Maximization in Social Activity Networks under General Settings. ACM Trans. Knowl. Discov. Data 15(6): 108:1-108:28 (2021) - [c27]Shiyuan Zheng, Hong Xie, John C. S. Lui:
Pricing social visibility service in online social networks: modeling and algorithms. ASONAM 2021: 209-213 - [c26]Pei Yi, Hong Xie, Yongkun Li, John C. S. Lui:
A Bootstrapping Approach to Optimize Random Walk Based Statistical Estimation over Graphs. ICDE 2021: 900-911 - [c25]Shiyuan Zheng, Hong Xie, John C. S. Lui:
Social Visibility Optimization in OSNs with Anonymity Guarantees: Modeling, Algorithms and Applications. ICDE 2021: 2063-2068 - [c24]Xiaoying Zhang, Hong Xie, John C. S. Lui:
Heterogeneous Information Assisted Bandit Learning: Theory and Application. ICDE 2021: 2135-2140 - [c23]Qiao Tang, Hong Xie:
A Robust Algorithm to Unifying Offline Causal Inference and Online Multi-armed Bandit Learning. ICDM 2021: 599-608 - [c22]Mingze Zhong, Hong Xie, Qingsheng Zhu:
Quantifying Assimilate-Contrast Effects in Online Rating Systems: Modeling, Analysis and Application. KDD 2021: 2369-2377 - [c21]Ye Li, Hong Xie, Yishi Lin, John C. S. Lui:
Unifying Offline Causal Inference and Online Bandit Learning for Data Driven Decision. WWW 2021: 2291-2303 - [i8]Shiyuan Zheng, Hong Xie, John C. S. Lui:
Pricing Social Visibility Service in Online Social Networks: Modeling and Algorithms. CoRR abs/2106.10473 (2021) - 2020
- [j15]Xiaoying Zhang, Hong Xie, Junzhou Zhao, John C. S. Lui:
Understanding Assimilation-contrast Effects in Online Rating Systems: Modelling, Debiasing, and Applications. ACM Trans. Inf. Syst. 38(1): 2:1-2:25 (2020) - [j14]Hong Xie, Yongkun Li, John C. S. Lui:
A Reinforcement Learning Approach to Optimize Discount and Reputation Tradeoffs in E-commerce Systems. ACM Trans. Internet Techn. 20(4): 37:1-37:26 (2020) - [j13]Ye Li, Hong Xie, John C. S. Lui, Kenneth L. Calvert:
Quantifying Deployability and Evolvability of Future Internet Architectures via Economic Models. IEEE/ACM Trans. Netw. 28(5): 1995-2008 (2020) - [j12]Hong Xie, John C. S. Lui:
Mining Deficiencies of Online Reputation Systems: Methodologies, Experiments and Implications. IEEE Trans. Serv. Comput. 13(5): 887-900 (2020) - [c20]Hong Xie, Mingze Zhong:
Robust Product Rating Rules Against Herding Effects: Theory and Applications. ICDM 2020: 1352-1357 - [c19]Tingwei Liu, Hong Xie, John C. S. Lui:
Optimizing Mixture Importance Sampling Via Online Learning: Algorithms and Applications. INFOCOM 2020: 149-158 - [c18]Rui Wang, Yongkun Li, Hong Xie, Yinlong Xu, John C. S. Lui:
GraphWalker: An I/O-Efficient and Resource-Friendly Graph Analytic System for Fast and Scalable Random Walks. USENIX ATC 2020: 559-571 - [c17]Xiaoying Zhang, Hong Xie, Hang Li, John C. S. Lui:
Conversational Contextual Bandit: Algorithm and Application. WWW 2020: 662-672 - [i7]Li Ye, Yishi Lin, Hong Xie, John C. S. Lui:
Combining Offline Causal Inference and Online Bandit Learning for Data Driven Decisions. CoRR abs/2001.05699 (2020)
2010 – 2019
- 2019
- [j11]Hong Xie, Weijie Wu, Richard T. B. Ma, John C. S. Lui:
Pay as Your Service Needs: An Application-Driven Pricing Approach for the Internet Economics. ACM Trans. Internet Techn. 19(4): 52:1-52:28 (2019) - [c16]Hong Xie, Yongkun Li, John C. S. Lui:
Understanding Persuasion Cascades in Online Product Rating Systems. AAAI 2019: 5490-5497 - [c15]Hong Xie, Yongkun Li, John C. S. Lui:
Optimizing Discount and Reputation Trade-Offs in E-Commerce Systems: Characterization and Online Learning. AAAI 2019: 7992-7999 - [c14]Yongkun Li, Zhiyong Wu, Shuai Lin, Hong Xie, Min Lv, Yinlong Xu, John C. S. Lui:
Walking with Perception: Efficient Random Walk Sampling via Common Neighbor Awareness. ICDE 2019: 962-973 - [c13]Ye Li, Hong Xie, Yishi Lin, John C. S. Lui:
To Be or Not to Be: Analyzing & Modeling Social Recommendation in Online Social Networks. ICDM 2019: 1180-1185 - [i6]Xiaoying Zhang, Hong Xie, Hang Li, John C. S. Lui:
Toward Building Conversational Recommender Systems: A Contextual Bandit Approach. CoRR abs/1906.01219 (2019) - 2018
- [j10]Hong Xie, John C. S. Lui:
A Markov Decision Process Approach to Analyze Discount & Reputation Trade-offs in E-commerce Systems. SIGMETRICS Perform. Evaluation Rev. 46(2): 3-5 (2018) - [j9]Hong Xie, Richard T. B. Ma, John C. S. Lui:
Enhancing Reputation via Price Discounts in E-Commerce Systems: A Data-Driven Approach. ACM Trans. Knowl. Discov. Data 12(3): 26:1-26:29 (2018) - [j8]Kechao Cai, Hong Xie, John C. S. Lui:
Information Spreading Forensics via Sequential Dependent Snapshots. IEEE/ACM Trans. Netw. 26(1): 478-491 (2018) - [j7]Hong Xie, John C. S. Lui:
Incentive Mechanism and Rating System Design for Crowdsourcing Systems: Analysis, Tradeoffs and Inference. IEEE Trans. Serv. Comput. 11(1): 90-102 (2018) - [c12]Xiaoying Zhang, Hong Xie, John C. S. Lui:
Sybil Detection in Social-Activity Networks: Modeling, Algorithms and Evaluations. ICNP 2018: 44-54 - [c11]Ye Li, Hong Xie, John C. S. Lui:
Quantifying Deployability & Evolvability of Future Internet Architectures via Economic Models. ICNP 2018: 324-334 - [c10]Xiaoying Zhang, Hong Xie, Junzhou Zhao, John C. S. Lui:
Modeling the Assimilation-Contrast Effects in Online Product Rating Systems: Debiasing and Recommendations. IJCAI 2018: 5409-5413 - [i5]Li Ye, Hong Xie, John C. S. Lui:
Quantifying Deployability & Evolvability of Future Internet Architectures via Economic Models. CoRR abs/1808.01787 (2018) - 2017
- [c9]Pengpeng Zhao, Yongkun Li, Hong Xie, Zhiyong Wu, Yinlong Xu, John C. S. Lui:
Measuring and Maximizing Influence via Random Walk in Social Activity Networks. DASFAA (2) 2017: 323-338 - [c8]Li Ye, Hong Xie, Weijie Wu, John C. S. Lui:
Mining Customer Valuations to Optimize Product Bundling Strategy. ICDM 2017: 555-564 - 2016
- [j6]Kechao Cai, Hong Xie, John C. S. Lui:
Generalization of Information Spreading Forensics via Sequential Dependent Snapshots. SIGMETRICS Perform. Evaluation Rev. 44(2): 12-14 (2016) - [j5]Hong Xie, John C. S. Lui, Don Towsley:
Design and Analysis of Incentive and Reputation Mechanisms for Online Crowdsourcing Systems. ACM Trans. Model. Perform. Evaluation Comput. Syst. 1(3): 13:1-13:27 (2016) - [c7]Hong Xie, Richard T. B. Ma, John C. S. Lui:
Trading Discount for Reputation?: On the Design and Analysis of E-Commerce Discount Mechanisms. SIGMETRICS 2016: 417-418 - [i4]Pengpeng Zhao, Yongkun Li, Hong Xie, Zhiyong Wu, Yinlong Xu, Richard T. B. Ma, John C. S. Lui:
Impact of Online Activities on Influence Maximization: A Random Walk Approach. CoRR abs/1602.03966 (2016) - 2015
- [j4]Hong Xie, John C. S. Lui:
Modeling eBay-like reputation systems: Analysis, characterization and insurance mechanism design. Perform. Evaluation 91: 132-149 (2015) - [j3]Hong Xie, John C. S. Lui:
Mathematical Modeling and Analysis of Product Rating with Partial Information. ACM Trans. Knowl. Discov. Data 9(4): 26:1-26:33 (2015) - [c6]Hong Xie, John C. S. Lui:
A Mechanism Approach to Reduce New Seller Ramp-Up Time in eBay-Like Reputation Systems. ICDCS 2015: 770-771 - [c5]Hong Xie, John C. S. Lui:
A Data Driven Approach to Uncover Deficiencies in Online Reputation Systems. ICDM 2015: 1045-1050 - [c4]Hong Xie, John C. S. Lui, Don Towsley:
Incentive and reputation mechanisms for online crowdsourcing systems. IWQoS 2015: 207-212 - [i3]Hong Xie, John C. S. Lui:
Mathematical Modeling of Insurance Mechanisms for E-commerce Systems. CoRR abs/1502.03212 (2015) - 2014
- [j2]Hong Xie, John C. S. Lui:
Mathematical modeling of group product recommendation with partial information: How many ratings do we need? Perform. Evaluation 77: 72-95 (2014) - [j1]Hong Xie, John C. S. Lui:
Modeling crowdsourcing systems: design and analysis of incentive mechanism and rating system. SIGMETRICS Perform. Evaluation Rev. 42(2): 52-54 (2014) - [c3]Hong Xie, John C. S. Lui, Joe Wenjie Jiang, Wei Chen:
Incentive mechanism and protocol design for crowdsourcing systems. Allerton 2014: 140-147 - [c2]Hong Xie, John C. S. Lui, Wenjie Jiang:
Mathematical Modeling of Crowdsourcing Systems: Incentive Mechanism and Rating System Design. MASCOTS 2014: 181-186 - [c1]Silei Xu, Yishi Lin, Hong Xie, John C. S. Lui:
A provable algorithmic approach to product selection problems for market entry and sustainability. SSDBM 2014: 19:1-19:12 - 2013
- [i2]Hong Xie, John C. S. Lui:
Mathematical Modeling of Product Rating: Sufficiency, Misbehavior and Aggregation Rules. CoRR abs/1305.1899 (2013) - 2012
- [i1]Hong Xie, John C. S. Lui:
Mathematical Modeling of Competitive Group Recommendation Systems with Application to Peer Review Systems. CoRR abs/1204.1832 (2012)
Coauthor Index
[j36] [c41] [i20] [j32] [j31] [j30] [j29] [j28] [j27] [j26] [j24] [j23] [c33] [c32] [c31] [i15] [j22] [j21] [j20] [j19] [j18] [c30] [c29] [c28] [i11] [i10] [i9] [j17] [j16] [c27] [c26] [c25] [c24] [c21] [i8] [j15] [j14] [j13] [j12] [c19] [c18] [c17] [i7] [j11] [c16] [c15] [c14] [c13] [i6] [j10] [j9] [j8] [j7] [c12] [c11] [c10] [i5] [c9] [c8] [j6] [j5] [c7] [i4] [j4] [j3] [c6] [c5] [c4] [i3] [j2] [j1] [c3] [c2] [c1] [i2] [i1]
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