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ORCIDZhongyuan Zhao 0001
Person information
- affiliation (PhD 2014): Beijing University of Posts and Telecommunications, Institute of Information and Communication, China
- affiliation: Beijing University of Posts and Telecommunications, State Key Laboratory of Networking and Switching Technology, China
Other persons with the same name
- Zhongyuan Zhao — disambiguation page
- Zhongyuan Zhao 0002
![[0000-0003-0346-8015]](https://dblp.uni-trier.de./img/orcid-mark.12x12.png "0000-0003-0346-8015")
— Rice University, Department of Electrical and Computer Engineering, Houston, TX, USA (and 3 more) - Zhongyuan Zhao 0003 — Chongqing University, College of Automation, Key Laboratory of Dependable Service Computing in Cyber Physical Society, China
- Zhongyuan Zhao 0004 — Cornell University, School of Electrical and Computer Engineering, Ithaca, NY, USA (and 1 more)
- Zhongyuan Zhao 0005 — Zhoukou Normal University, School of Science and Technology, Henan, China
- Zhongyuan Zhao 0006 — East China Normal University, School of Communication and Electronic Engineering, Shanghai, China
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2020 – today
- 2024
[j41]Qing Zhang, Taoye Zhang, Bin Chen, Ji Yan, Zhongyuan Zhao, Xiaofei Qin, Chao Cai, Xiankui Luo:
Artificial Intelligence-Enabled 5G Network Performance Evaluation With Fine Granularity and High Accuracy. IEEE Access 12: 36432-36446 (2024)- [j40]Dongxuan He, Huazhou Hou, Rongkun Jiang, Xinghuo Yu, Zhongyuan Zhao, Yuanqiu Mo, Yongming Huang, Wenwu Yu, Tony Q. S. Quek:
Integrating Sensing and Communication for IoT Systems: Task-Oriented Control Perspective. IEEE Internet Things Mag. 7(4): 76-83 (2024) - [j39]Like Sun, Zhongyuan Zhao, Siye Wang, Zhiguo Ding, Mugen Peng:
On the Study of Non-Orthogonal Multiple Access (NOMA)-Assisted Integrated Sensing and Communication (ISAC). IEEE Trans. Commun. 72(11): 7278-7293 (2024) - [j38]Zhongyuan Zhao, Jingyi Wang, Wei Hong, Tony Q. S. Quek, Zhiguo Ding, Mugen Peng:
Ensemble Federated Learning With Non-IID Data in Wireless Networks. IEEE Trans. Wirel. Commun. 23(4): 3557-3571 (2024) - [j37]Chao Jia, Zhongyuan Zhao, Like Sun, Zhiguo Ding, Tony Q. S. Quek:
Opportunistic Cooperation of Integrated Sensing and Communications in Wireless Networks. IEEE Wirel. Commun. Lett. 13(6): 1775-1779 (2024) - [c37]Wentao Cheng, Zhongyuan Zhao, Howard H. Yang, Wei Hong, Tony Q. S. Quek, Zhiguo Ding:
On the Study of Success Serving Probability for Integrated Sensing and Communication (ISAC) Based on Stochastic Geometry. ICC 2024: 5098-5103 - 2023
- [j36]Chenyuan Feng, Howard H. Yang, Siye Wang, Zhongyuan Zhao, Tony Q. S. Quek:
Hybrid Learning: When Centralized Learning Meets Federated Learning in the Mobile Edge Computing Systems. IEEE Trans. Commun. 71(12): 7008-7022 (2023) - [c36]Yuzhu Wang, Kun Guo, Wei Hong, Qin Mu, Zhongyuan Zhao:
Split Learning in Wireless Networks: A Communication and Computation Adaptive Scheme. ICCC 2023: 1-6 - [c35]Qing Wei, Xi Han, Zhongyuan Zhao, Wenle Bai:
Optimizing Energy Consumption in UAV-Assisted Data Transmission Through User-Aware Caching. ICCC 2023: 1-6 - 2022
- [j35]Zhongyuan Zhao, Chenyuan Feng, Wei Hong, Jiamo Jiang, Chao Jia, Tony Q. S. Quek, Mugen Peng:
Federated Learning With Non-IID Data in Wireless Networks. IEEE Trans. Wirel. Commun. 21(3): 1927-1942 (2022) - [j34]Zhongyuan Zhao, Yifan Cai, Wei Hong, Jiamo Jiang, Mugen Peng, Tony Q. S. Quek:
On the Design of Backscatter Communications With Retransmissions. IEEE Wirel. Commun. Lett. 11(12): 2555-2559 (2022) - [c34]Kexin Xiong, Yao Wei, Wei Hong, Zhongyuan Zhao:
Big Data-Based Meta-Learner Generation for Fast Adaptation of Few-Shot Learning in Wireless Networks. GLOBECOM 2022: 1344-1349 - [c33]Jingyi Wang, Zhongyuan Zhao, Wei Hong, Tony Q. S. Quek, Zhiguo Ding:
Clustered Federated Learning with Model Integration for Non-IID Data in Wireless Networks. GLOBECOM (Workshops) 2022: 1634-1639 - [c32]Kexin Xiong, Zhongyuan Zhao, Wei Hong, Mugen Peng, Tony Q. S. Quek:
Few-Shot Learning in Wireless Networks: A Meta-Learning Model-Enabled Scheme. ICC Workshops 2022: 415-420 - [c31]Kailei Xu, Howard H. Yang, Zhongyuan Zhao, Wei Hong, Tony Q. S. Quek, Mugen Peng:
Pruning Analog Over-the-Air Distributed Learning Models with Accuracy Loss Guarantee. ICC 2022: 5202-5207 - [c30]Jiamo Jiang, Mingfeng Xu, Zhongyuan Zhao, Kaifeng Han, Yang Li, Ying Du, Zhiqin Wang:
Rethinking the performance of isac system: from efficiency and utility perspectives. ISACom@MobiCom 2022: 19-24 - [i8]Jiamo Jiang, Mingfeng Xu, Zhongyuan Zhao, Kaifeng Han, Yang Li, Ying Du, Zhiqin Wang:
Rethinking the Performance of ISAC System: From Efficiency and Utility Perspectives. CoRR abs/2208.08654 (2022) - 2021
- [j33]Wenle Bai, Ziyang Ma, Yulong Han, Menglong Wu, Zhongyuan Zhao, Mengkun Li, Chengcai Wang:
Joint Optimization of Computation Offloading, Data Compression, Energy Harvesting, and Application Scenarios in Fog Computing. IEEE Access 9: 45462-45473 (2021) - [j32]Chenyuan Feng, Zhongyuan Zhao, Yidong Wang, Tony Q. S. Quek, Mugen Peng:
On the Design of Federated Learning in the Mobile Edge Computing Systems. IEEE Trans. Commun. 69(9): 5902-5916 (2021) - [c29]Wei Hong, Xiaoyu Duan, Huihui Gao, Zhongyuan Zhao:
On the Design of Content Transmissions with Recommendation in Wireless Caching Networks. EuCNC/6G Summit 2021: 37-42 - [c28]Mingrui Cao, Bin Cao, Wei Hong, Zhongyuan Zhao, Xiang Bai, Lei Zhang:
DAG-FL: Direct Acyclic Graph-based Blockchain Empowers On-Device Federated Learning. ICC 2021: 1-6 - [c27]Wei Hong, Xueting Luo, Zhongyuan Zhao, Mugen Peng, Tony Q. S. Quek:
Optimal Design of Hybrid Federated and Centralized Learning in the Mobile Edge Computing Systems. ICC Workshops 2021: 1-6 - [c26]Yang Li, Jiamo Jiang, Chao Jia, Yifei Yuan, Zhongyuan Zhao, Ying Du, Zhiqin Wang:
Deep Reinforcement Learning-Based Multi-Panel Beam Management in Massive MIMO Systems: Algorithm Design and System-Level Simulation. PIMRC 2021: 1-6 - [c25]Xueting Luo, Zhongyuan Zhao, Mugen Peng:
Tradeoff between Model Accuracy and Cost for Federated Learning in the Mobile Edge Computing Systems. WCNC Workshops 2021: 1-6 - 2020
- [b1]Mugen Peng, Zhongyuan Zhao, Yaohua Sun:
Fog Radio Access Networks (F-RAN) - Architectures, Technologies, and Applications. Wireless Networks, Springer 2020, ISBN 978-3-030-50734-3, pp. 1-218 - [j31]Mugen Peng, Zhongyuan Zhao, Tony Q. S. Quek, Guoqiang Mao, Zhiguo Ding, Chonggang Wang:
IEEE Access Special Section Editorial: Fog Radio Access Networks (F-RANS) for 5G: Recent Advances and Future Trends. IEEE Access 8: 207008-207011 (2020) - [j30]Lixia Lin, Wen'an Zhou, Zhongyuan Zhao:
Analytical Modeling of NOMA-Based Mobile Edge Computing Systems With Randomly Located Users. IEEE Commun. Lett. 24(12): 2965-2968 (2020) - [j29]Zhongyuan Zhao, Chenyuan Feng, Howard H. Yang, Xueting Luo:
Federated-Learning-Enabled Intelligent Fog Radio Access Networks: Fundamental Theory, Key Techniques, and Future Trends. IEEE Wirel. Commun. 27(2): 22-28 (2020) - [c24]Chenyuan Feng, Yidong Wang, Zhongyuan Zhao, Tony Q. S. Quek, Mugen Peng:
Joint Optimization of Data Sampling and User Selection for Federated Learning in the Mobile Edge Computing Systems. ICC Workshops 2020: 1-6
2010 – 2019
- 2019
- [j28]Zhongyuan Zhao, Shuqing Bu, Tiezhu Zhao, Zhenping Yin, Mugen Peng, Zhiguo Ding, Tony Q. S. Quek:
On the Design of Computation Offloading in Fog Radio Access Networks. IEEE Trans. Veh. Technol. 68(7): 7136-7149 (2019) - [j27]Yaru Fu, Wanli Wen, Zhongyuan Zhao, Tony Q. S. Quek, Shi Jin, Fu-Chun Zheng:
Dynamic Power Control for NOMA Transmissions in Wireless Caching Networks. IEEE Wirel. Commun. Lett. 8(5): 1485-1488 (2019) - [c23]Mingfeng Xu, Zhongyuan Zhao, Mugen Peng, Zhiguo Ding, Tony Q. S. Quek, Wenle Bai:
Performance Analysis of Computation Offloading in Fog-Radio Access Networks. ICC 2019: 1-6 - 2018
- [j26]Zhongyuan Zhao, Mingfeng Xu, Weiliang Xie, Zhiguo Ding, George K. Karagiannidis:
Coverage Performance of NOMA in Wireless Caching Networks. IEEE Commun. Lett. 22(7): 1458-1461 (2018) - [j25]Ke Wang, Zhongyuan Zhao, Yi Cen:
Allocating Multi-type Resources in Heterogeneous Cloud Radio Access Networks. Mob. Networks Appl. 23(3): 611-623 (2018) - [j24]Di Chen, Zhongyuan Zhao, Zhendong Mao, Mugen Peng:
Channel Matrix Sparsity With Imperfect Channel State Information in Cloud Radio Access Networks. IEEE Trans. Veh. Technol. 67(2): 1363-1374 (2018) - [j23]Zheng Zhou, Mugen Peng, Zhongyuan Zhao:
Joint Data-Energy Beamforming and Traffic Offloading in Cloud Radio Access Networks With Energy Harvesting-Aided D2D Communications. IEEE Trans. Wirel. Commun. 17(12): 8094-8107 (2018) - 2017
- [j22]Fen Cheng, Yan Yu, Zhongyuan Zhao, Nan Zhao, Yunfei Chen, Hai Li:
Power Allocation for Cache-Aided Small-Cell Networks With Limited Backhaul. IEEE Access 5: 1272-1283 (2017) - [j21]Zhongyuan Zhao, Mingfeng Xu, Yong Li, Mugen Peng:
A Non-Orthogonal Multiple Access-Based Multicast Scheme in Wireless Content Caching Networks. IEEE J. Sel. Areas Commun. 35(12): 2723-2735 (2017) - [j20]Zhiguo Ding, Zhongyuan Zhao, Mugen Peng, H. Vincent Poor:
On the Spectral Efficiency and Security Enhancements of NOMA Assisted Multicast-Unicast Streaming. IEEE Trans. Commun. 65(7): 3151-3163 (2017) - [c22]Yourong Ban, Mingfeng Xu, Zhongyuan Zhao, Yong Li, Zhiguo Ding:
Cluster Formation with Data-Assisted Channel Estimation in Cloud-Radio Access Networks. WCNC 2017: 1-6 - [i7]Di Chen, Zhongyuan Zhao, Zhendong Mao, Mugen Peng:
Channel Matrix Sparsity with Imperfect Channel State Information in Cloud-Radio Access Networks. CoRR abs/1709.08377 (2017) - 2016
- [j19]Munzali Ahmed Abana, Mugen Peng, Zhongyuan Zhao, Lukman Abiodun Olawoyin:
Coverage and Rate Analysis in Heterogeneous Cloud Radio Access Networks With Device-to-Device Communication. IEEE Access 4: 2357-2370 (2016) - [j18]Zhongyuan Zhao, Yourong Ban, Di Chen, Zhendong Mao, Yong Li:
Joint Design of Iterative Training-Based Channel Estimation and Cluster Formation in Cloud-Radio Access Networks. IEEE Access 4: 9643-9658 (2016) - [j17]Yan Shi, Wenbo Wang, Zhongyuan Zhao, Munzali Ahmed Abana:
Investigation of cell association techniques in uplink cloud radio access networks. Trans. Emerg. Telecommun. Technol. 27(8): 1044-1054 (2016) - [j16]Zheng Zhou, Mugen Peng, Zhongyuan Zhao, Wenbo Wang, Rick S. Blum:
Wireless-Powered Cooperative Communications: Power-Splitting Relaying With Energy Accumulation. IEEE J. Sel. Areas Commun. 34(4): 969-982 (2016) - [j15]Zhongyuan Zhao, Mugen Peng, Zhiguo Ding, Wenbo Wang, H. Vincent Poor:
Cluster Content Caching: An Energy-Efficient Approach to Improve Quality of Service in Cloud Radio Access Networks. IEEE J. Sel. Areas Commun. 34(5): 1207-1221 (2016) - [j14]Zhongyuan Zhao, Mugen Peng, Yingna Ma, Yong Li, Changqing Yang, Yong Wu:
Cooperative Transmissions in 5G Large-scale Relay Systems: How to Keep a Balance Between Performance and Complexity? J. Signal Process. Syst. 83(2): 207-223 (2016) - [c21]Munzali Ahmed Abana, Mugen Peng, Zhongyuan Zhao:
Performance analysis in heterogeneous cloud radio access networks with non-uniform device-to-device deployment. ICT 2016: 1-6 - [c20]Shiwei Jia, Liu Liu, Huiling Jiang, Zhongyuan Zhao, Mugen Peng, Yong Li:
Performance Analysis of Multicasting in Cloud-Radio Access Networks. VTC Spring 2016: 1-5 - [c19]Yingna Ma, Mugen Peng, Zhongyuan Zhao, Zheng Zhou:
Optimization of Simultaneous Wireless Information and Power Transfer in Cloud Radio Access Networks. VTC Spring 2016: 1-5 - [c18]Lei Li, Mugen Peng, Zhipeng Yan, Zhongyuan Zhao, Yong Li:
Success coverage probability for dynamic resource allocation in small cell networks. WCNC 2016: 1-5 - [i6]Zheng Zhou, Mugen Peng, Zhongyuan Zhao, Wenbo Wang, Rick S. Blum:
Wireless-Powered Cooperative Communications: Power-Splitting Relaying with Energy Accumulation. CoRR abs/1601.00374 (2016) - [i5]Zhongyuan Zhao, Mugen Peng, Zhiguo Ding, Wenbo Wang, H. Vincent Poor:
Cluster Content Caching: An Energy-Efficient Approach to Improve Quality of Service in Cloud Radio Access Networks. CoRR abs/1603.07052 (2016) - [i4]Zhiguo Ding, Zhongyuan Zhao, Mugen Peng, H. Vincent Poor:
On the Spectral Efficiency and Security Enhancements of NOMA Assisted Multicast-Unicast Streaming. CoRR abs/1611.05413 (2016) - 2015
- [j13]Zhongyuan Zhao, Zhiguo Ding, Mugen Peng, Yong Li:
A full-cooperative diversity beamformingscheme in two-way amplify-and-forward relay systems. Digit. Commun. Networks 1(1): 57-67 (2015) - [j12]Yong Li, Tingting Wang, Zhongyuan Zhao, Mugen Peng, Wenbo Wang:
Relay Mode Selection and Power Allocation for Hybrid One-Way/Two-Way Half-Duplex/Full-Duplex Relaying. IEEE Commun. Lett. 19(7): 1217-1220 (2015) - [j11]Mugen Peng, Qiang Hu, Xinqian Xie, Zhongyuan Zhao, H. Vincent Poor:
Network Coded Multihop Wireless Communication Networks: Channel Estimation and Training Design. IEEE J. Sel. Areas Commun. 33(2): 281-294 (2015) - [j10]Mugen Peng, Yong Li, Zhongyuan Zhao, Chonggang Wang:
System architecture and key technologies for 5G heterogeneous cloud radio access networks. IEEE Netw. 29(2): 6-14 (2015) - [j9]Zheng Zhou, Mugen Peng, Zhongyuan Zhao, Yong Li:
Joint Power Splitting and Antenna Selection in Energy Harvesting Relay Channels. IEEE Signal Process. Lett. 22(7): 823-827 (2015) - [j8]Zhongyuan Zhao, Zhiguo Ding, Mugen Peng, Wenbo Wang, John S. Thompson:
On the Design of Cognitive-Radio-Inspired Asymmetric Network Coding Transmissions in MIMO Systems. IEEE Trans. Veh. Technol. 64(3): 1014-1025 (2015) - [c17]Zheng Zhou, Mugen Peng, Zhongyuan Zhao, Rick S. Blum:
Wireless information and power transfer design with scheduling for cooperative networks. ChinaSIP 2015: 378-382 - [c16]Zhongyuan Zhao, Shiwei Jia, Yong Li, Mugen Peng, Chonggang Wang:
Performance Analysis of Cluster Content Caching in Cloud-Radio Access Networks. GLOBECOM Workshops 2015: 1-6 - [c15]Zheng Zhou, Mugen Peng, Zhongyuan Zhao, Chonggang Wang, Rick S. Blum:
Throughput Optimizing for Power-Splitting Based Relaying in Wireless-Powered Cooperative Networks. GLOBECOM 2015: 1-6 - [c14]Hongyu Xiang, Yuling Yu, Zhongyuan Zhao, Yong Li, Mugen Peng:
Tradeoff between energy efficiency and queues delay in heterogeneous cloud radio access networks. ICC Workshops 2015: 2727-2731 - [c13]Zhongyuan Zhao, Mugen Peng, Zhiguo Ding, Chonggang Wang, H. Vincent Poor:
Cluster formation in cloud-radio access networks: Performance analysis and algorithms design. ICC 2015: 3903-3908 - [c12]Zhongyuan Zhao, Mugen Peng, Li Wang, Wenqi Cai, Yong Li, Hsiao-Hwa Chen:
Antenna Selection in Large-Scale Multiple Antenna Systems. WASA 2015: 756-766 - 2014
- [j7]Bin Han, Wenbo Wang, Zhongyuan Zhao, Mugen Peng:
Nth best relay selection with network coding in two-way relay systems. Int. J. Commun. Syst. 27(5): 763-775 (2014) - [j6]Zhongyuan Zhao, Mugen Peng, Zhiguo Ding, Wenbo Wang, Hsiao-Hwa Chen:
Denoise-and-Forward Network Coding for Two-Way Relay MIMO Systems. IEEE Trans. Veh. Technol. 63(2): 775-788 (2014) - [c11]Zhongyuan Zhao, Mugen Peng, Zheng Zhou, Zhao Wang:
Interference Truncation for Compute-and-Forward Relaying in Multiple Access Channels. CIT 2014: 420-424 - [c10]Zhongyuan Zhao, Zhiguo Ding, Mugen Peng, H. Vincent Poor:
A full-cooperative diversity beamforming scheme in two-way amplified-and-forward relay systems. EUSIPCO 2014: 1138-1142 - [c9]Xinqian Xie, Mugen Peng, Zhongyuan Zhao:
Robust channel estimation strategy for two-way multi-antenna relay networks with asynchronous transmission. GLOBECOM 2014: 3001-3006 - [c8]Rongyi Hu, Mugen Peng, Zhongyuan Zhao, Xinqian Xie:
Investigation of full-duplex relay networks with imperfect channel estimation. ICCC 2014: 576-580 - [i3]Zheng Zhou, Mugen Peng, Zhongyuan Zhao, Yong Li:
Joint Power Splitting and Antenna Selection in Energy Harvesting Relay Channels. CoRR abs/1411.2724 (2014) - [i2]Mugen Peng, Yong Li, Zhongyuan Zhao, Chonggang Wang:
System Architecture and Key Technologies for 5G Heterogeneous Cloud Radio Access Networks. CoRR abs/1412.6677 (2014) - [i1]Mugen Peng, Qiang Hu, Xinqian Xie, Zhongyuan Zhao, H. Vincent Poor:
Network Coded Multi-Hop Wireless Communication Networks: Channel Estimation and Training Design. CoRR abs/1412.6680 (2014) - 2013
- [j5]Bin Han, Mugen Peng, Zhongyuan Zhao, Wenbo Wang:
A Multidimensional Resource-Allocation Optimization Algorithm for the Network-Coding-Based Multiple-Access Relay Channels in OFDM Systems. IEEE Trans. Veh. Technol. 62(8): 4069-4078 (2013) - [c7]Zhongyuan Zhao, Bin Han, Xinqian Xie, Wenbo Wang, Mugen Peng:
Precoding design for denoise-and-forward network coding in MIMO two-way relay systems. WCNC Workshops 2013: 141-145 - [c6]Zhongyuan Zhao, Zhiguo Ding, Bin Han, Xinqian Xie, Wenbo Wang, Mugen Peng:
A spectrum-efficient broadcast scheme based on network coding in cellular MIMO systems. WCNC 2013: 1387-1391 - [c5]Xinqian Xie, Mugen Peng, Zhongyuan Zhao:
Joint modulation and network coding in uplink relaying channels: A complex-valued 3-ary approach for BPSK modulation. WCSP 2013: 1-5 - [c4]Xinqian Xie, Mugen Peng, Zhongyuan Zhao, Chonggang Wang:
Channel estimation for two-way relay networks with imperfect synchronization. WCSP 2013: 1-6 - 2012
- [j4]Mugen Peng, Changqing Yang, Zhongyuan Zhao, Wenbo Wang, Hsiao-Hwa Chen:
Cooperative network coding in relay-based IMT-advanced systems. IEEE Commun. Mag. 50(4): 76-84 (2012) - [j3]Zhongyuan Zhao, Zhiguo Ding, Bin Han, Wenbo Wang, Mugen Peng:
On the user performance of orthogonal projection signal alignment scheme in MIMO relay systems. EURASIP J. Wirel. Commun. Netw. 2012: 308 (2012) - [j2]Mugen Peng, Zhongyuan Zhao, Xinqian Xie, Wenbo Wang:
A Network Coded Interference Coordination Scheme in Cellular Relay Systems. IEEE Commun. Lett. 16(5): 688-690 (2012) - [c3]Bin Han, Zhongyuan Zhao, Mugen Peng, Yong Li, Wenbo Wang:
Resource allocation for OFDM multiple-access relay channels with network coding. GLOBECOM 2012: 4701-4706 - [c2]Xinqian Xie, Zhongyuan Zhao, Mugen Peng, Wenbo Wang:
Spatial modulation in two-way network coded channels: Performance and mapping optimization. PIMRC 2012: 72-76 - 2011
- [j1]Zhongyuan Zhao, Zhiguo Ding, Mugen Peng, Wenbo Wang, Kin K. Leung:
A Special Case of Multi-Way Relay Channel: When Beamforming is not Applicable. IEEE Trans. Wirel. Commun. 10(7): 2046-2051 (2011) - [c1]Xinqian Xie, Mugen Peng, Zhongyuan Zhao, Xiaodong Ji, Wenbo Wang:
A nash equilibrium based fair user pairing algorithm for the cooperative network coding in multiple access relay systems. CHINACOM 2011: 1137-1141
Coauthor Index
[j39] [j38] [j35] [j34] [c32] [c31] [j32] [c27] [c25] [b1] [j31] [c24] [j28] [c23] [j24] [j23] [j21] [j20] [i7] [j19] [j16] [j15] [j14] [c21] [c20] [c19] [c18] [i6] [i5] [i4] [j13] [j12] [j11] [j10] [j9] [j8] [c17] [c16] [c15] [c14] [c13] [c12] [j7] [j6] [c11] [c10] [c9] [c8] [i3] [i2] [i1] [j5] [c7] [c6] [c5] [c4] [j4] [j3] [j2] [c3] [c2] [j1] [c1]
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