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ORCIDYao Zhang 0016
Person information
- affiliation: Hangzhou Dianzi University, School of Communications Engineering, China
- affiliation: Southeast University, National Mobile Communications Research Laboratory, Nanjing, China
- affiliation (PhD 2021): Nanjing University of Posts and Telecommunications, China
Other persons with the same name
- Yao Zhang — disambiguation page
- Yao Zhang 0001 — University of California, Davis, Department of Electrical and Computer Engineering, CA, USA
- Yao Zhang 0002 — Nanjing University, Jinlin College, China
- Yao Zhang 0003
![[0000-0002-4203-9144]](https://dblp.uni-trier.de/img/orcid-mark.12x12.png "0000-0002-4203-9144")
— Virginia Tech, Department of Computer Science, Blacksburg, VA, USA - Yao Zhang 0004 — Columbia University, Department of Earth and Environmental Engineering, New York, NY, USA (and 1 more)
- Yao Zhang 0005 — Xidian University, State Key Laboratory of Integrated Services Networks, Xi'an, China
- Yao Zhang 0006 — Northeastern University, School of Business Administration, Department of Operations and Logistics Management, Shenyang, China
- Yao Zhang 0007 — Queen Mary University of London, UK
- Yao Zhang 0008 — Northwestern Polytechnical University, School of Marine Science and Technology, Xi'an, China
- Yao Zhang 0009 — Fudan University, School of Computer Science, Shanghai, China
- Yao Zhang 0010 — Chinese Academy of Sciences, Institute of Computing Technology, Beijing, China (and 2 more)
- Yao Zhang 0011 — ShanghaiTech University, Shanghai Engineering Research Center of Intelligent Vision and Imaging, China
- Yao Zhang 0012 — Hangzhou Dianzi University, College of Artificial Intelligence, China (and 1 more)
- Yao Zhang 0013 — Hunan University, College of Electrical and Information Engineering, National Engineering Research Center of Robot Visual Perception and Control Technology, Changsha, China
- Yao Zhang 0014 — Hangzhou Dianzi University, School of Automation, China (and 1 more)
- Yao Zhang 0015 — Wuhan University, School of Cyber Science and Engineering, China
- Yao Zhang 0017 — Anhui University, School of Electronic and Information Engineering, Hefei, China
- Yao Zhang 0018 — Beijing University of Posts and Telecommunications, China
- Yao Zhang 0019 — Tianjin University, School of Cyber Security, China
- Yao Zhang 0020 — Tianjin University, College of Precision Instrument and Optoelectronics Engineering, China
- Yao Zhang 0021 — Tianjin University of Technology, China
- Yao Zhang 0022 — Army Engineering University of PLA, Nanjing, China
- Yao Zhang 0023 — University of Alberta, Department of Surgery, Edmonton, AB, Canada
- Yao Zhang 0024 — Nankai University, Business School, Department of Information Resource Management, Tianjin, China
- Yao Zhang 0025 — VMware Information Technology (China) Limited, Beijing, China (and 1 more)
- Yao Zhang 0026 — Northeast Forestry University, College of Mechanical and Electrical Engineering, Harbin, China
- Yao Zhang 0027 — Beijing University of Posts and Telecommunications, China
- Yao Zhang 0028 — Central China Normal University, China
- Yao Zhang 0029 — KU Leuven, Department of Mechanical Engineering, Belgium
- Yao Zhang 0030 — Xiamen University, Institute of Electromagnetics and Acoustics, China (and 1 more)
- Yao Zhang 0031 — Beijing Institute of Technology, School of Aerospace Engineering, China (and 1 more)
- Yao Zhang 0032 — China Agricultural University, MOE Key Laboratory of Modern Precision Agriculture System Integration Research, Beijing, China
- Yao Zhang 0033 — Jilin University, College of Automotive Engineering, Changchun, China
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2020 – today
- 2025
[j50]Hao Fang, Han Hu, Bo Wu, Yao Zhang, Longxiang Yang, Hongbo Zhu:
Power Allocation and Precoding Design for Active RIS-Aided Cell-Free Massive MIMO Systems. IEEE Internet Things J. 12(9): 12328-12340 (2025)- [j49]Yao Zhang, Jintao Shen, Xiaofeng Lin, Meilin Li, Yaoqi Sun, Xichun Sheng, Haitao Zhao, Hongbo Zhu:
Improving Integrated Satellite-Terrestrial Cell-Free Massive MIMO Systems by Rate-Splitting Multiple Access. IEEE Internet Things J. 12(10): 14269-14281 (2025) - [j48]Yao Zhang, Wenchao Xia, Haitao Zhao, Yijie Mao, Jiayi Zhang, Gan Zheng:
Enhancing Uplink Performance for Cell-Free Massive MIMO With Low-Resolution ADCs by RSMA. IEEE J. Sel. Areas Commun. 43(3): 720-735 (2025) - [j47]Hao Fang, Han Hu, Yao Zhang, Longxiang Yang, Hongbo Zhu:
Performance Analysis and Enhancement for Cell-Free Massive MIMO Systems With Non-Ideal Calibrations. IEEE Trans. Commun. 73(11): 11916-11930 (2025) - [j46]Jintao Shen, Yao Zhang, Yongxu Zhu, Dongming Wang, Longxiang Yang:
Synergistic Superiorities of Employing IRS and RSMA in Downlink Cell-Free Massive MIMO Systems Under Finite Blocklength Regime. IEEE Trans. Commun. 73(11): 12189-12204 (2025) - [j45]Yao Zhang, Yongxu Zhu, Dongming Wang, Wenchao Xia, Weidang Lu, Bo Tan:
A Comparison Between RSMA, NOMA, and SDMA in Cell-Free Massive MIMO Systems: From a Secrecy Perspective. IEEE Trans. Commun. 73(12): 13772-13787 (2025) - [j44]Yao Zhang, Wenchao Xia, Gan Zheng, Sangarapillai Lambotharan, Xichun Sheng, Yaoqi Sun:
Performance Analysis of RIS-Aided CF-mMIMO Systems With Variant Conjugate Beamforming Under Correlated Rician Fading Channels. IEEE Trans. Veh. Technol. 74(4): 5986-6002 (2025) - [j43]Jintao Shen, Yao Zhang, Yongxu Zhu, Hao Fang, Dongming Wang, Longxiang Yang:
On the Performance of RSMA-IRS-Aided Cell-Free Massive MIMO Systems Under Finite Blocklength. IEEE Trans. Veh. Technol. 74(11): 17220-17234 (2025) - [j42]Hao Fang, Han Hu, Yao Zhang, Longxiang Yang, Hongbo Zhu:
Beamforming Design for RIS-Aided Cell-Free Massive MIMO Systems Under Finite Channel Blocklength Transmissions. IEEE Trans. Veh. Technol. 74(12): 19393-19406 (2025) - [j41]Hao Fang, Han Hu, Yao Zhang, Longxiang Yang, Hongbo Zhu:
RIS-Aided Millimeter Wave Cell-Free Massive MIMO Systems: Joint Beamforming and SE-EE Trade-Off. IEEE Wirel. Commun. Lett. 14(8): 2531-2535 (2025) - [c24]Yao Zhang, Yongxu Zhu, Dongming Wang, Wenchao Xia, Weidang Lu, Bo Tan:
Secure Transmission in Uplink C-RAN Systems with RSMA, NOMA, and SDMA. INFOCOM WKSHPS 2025: 1-6 - 2024
- [j40]Hao Fang, Han Hu, Yao Zhang, Xu Qiao, Longxiang Yang, Hongbo Zhu:
Achievable Rate Analysis and Power Optimization for Cell-Free Massive MIMO URLLC Systems Over Aging and Correlated Channels. IEEE Internet Things J. 11(14): 25239-25250 (2024) - [j39]Hao Fang, Han Hu, Yao Zhang, Longxiang Yang, Hongbo Zhu:
Joint Design of Pilot Power and Phase Shifts in RIS-Aided Cell-Free Massive MIMO URLLC Systems. IEEE Internet Things J. 11(22): 37399-37402 (2024) - [j38]Yao Zhang, Wenchao Xia, Bo Wu, Haitao Zhao, Yaoqi Sun, Hongkui Wang, Hongbo Zhu:
On the Performance of Cell-Free IoT Systems With RSMA and Downlink Training. IEEE Internet Things J. 11(22): 37403-37406 (2024) - [j37]Yao Zhang, Haitao Zhao, Yijie Mao, Wenchao Xia, Weidang Lu, Hongbo Zhu:
Rate-Splitting Multiple Access in Cell-Free Massive MIMO-URLLC Systems: Achievable Rate Analysis and Optimization. IEEE Trans. Commun. 72(11): 6752-6767 (2024) - [j36]Changbing Tang, Baosen Yang, Yao Zhang, Feilong Lin, Guanrong Chen:
Cooperation and Optimization of Multi-Pool Mining Game With Zero Determinant Alliance. IEEE Trans. Netw. Sci. Eng. 11(5): 4965-4978 (2024) - [j35]Haitao Zhao, Yao Zhang, Wenchao Xia, Yiyang Ni, Longxiang Yang, Hongbo Zhu:
Distributed Opportunistic Power Control for Uplink Cell-Free Massive MIMO-IoT Networks Under Ricean Fading Channels. IEEE Trans. Netw. Serv. Manag. 21(2): 1690-1701 (2024) - [j34]Xu Qiao, Yao Zhang, Haitao Zhao, Longxiang Yang, Hongbo Zhu:
Two-Layer Large Scale Fading Precoding for Cell-Free Massive MIMO: Performance Analysis and Optimization. IEEE Trans. Veh. Technol. 73(3): 3901-3916 (2024) - [j33]Yao Zhang, Haitao Zhao, Wenchao Xia, Longxiang Yang, Hongbo Zhu:
Rate Analysis and Optimization of IRS-Aided Hardware-Impaired Cell-Free Massive MIMO Systems Under Correlated Ricean Fading Channels. IEEE Trans. Veh. Technol. 73(8): 12126-12131 (2024) - [j32]Hao Fang, Xu Qiao, Yao Zhang, Longxiang Yang, Hongbo Zhu:
On the Performance of RIS-Aided Cell-Free Massive MIMO Systems Under Channel Aging. IEEE Trans. Veh. Technol. 73(9): 12828-12841 (2024) - [j31]Haitao Zhao, Yao Zhang, Wenchao Xia, Hongbo Zhu:
Towards High Energy Efficiency for Cell-Free Massive MIMO: A Low-Complexity Approach. IEEE Trans. Veh. Technol. 73(12): 19907-19912 (2024) - [j30]Yao Zhang, Wenchao Xia, Haitao Zhao, Yongxu Zhu, Wei Xu, Weidang Lu:
Performance Analysis of Cell-Free Massive MIMO-URLLC Systems Over Correlated Rician Fading Channels With Phase Shifts. IEEE Trans. Wirel. Commun. 23(9): 12206-12222 (2024) - [j29]Yao Zhang, Haitao Zhao, Wenchao Xia, Yongxu Zhu, Hien Quoc Ngo, Bo Tan:
Enhancing Secrecy in Hardware-Impaired Cell-Free Massive MIMO by RSMA. IEEE Trans. Wirel. Commun. 23(12): 18788-18805 (2024) - [j28]Xu Qiao, Yao Zhang, Jun Zhang, Hao Fang, Longxiang Yang, Hongbo Zhu:
Novel Beamforming Design for IRS-Assisted Cell-Free Massive MIMO Systems. IEEE Wirel. Commun. Lett. 13(4): 1068-1072 (2024) - [j27]Yao Zhang, Kaixi Yang, Wenchao Xia, Jun Zhang, Yiyang Ni, Weidang Lu:
Secure RSMA for CF-mMIMO Systems With Low-Resolution DACs. IEEE Wirel. Commun. Lett. 13(6): 1660-1664 (2024) - [j26]Hao Fang, Han Hu, Yao Zhang, Xu Qiao, Longxiang Yang, Hongbo Zhu:
Cell-Free Massive MIMO for URLLC With Imperfect Channel Reciprocity. IEEE Wirel. Commun. Lett. 13(7): 1888-1892 (2024) - [j25]Kaixi Yang, Yao Zhang, Lina Chen, Changbing Tang, Hao Fang, Longxiang Yang:
On the Performance of RIS-Aided CF-IoE-SWIPT Network Over Correlated Rician Fading Channels. IEEE Wirel. Commun. Lett. 13(10): 2692-2696 (2024) - [c23]Yao Zhang, Yongxu Zhu, Wenchao Xia, Haitao Zhao, Hien Quoc Ngo, Bo Tan:
Secrecy Rate Analysis of RSMA-Aided Cell-Free Massive MIMO with Non-Ideal Hardware. GLOBECOM (Workshops) 2024: 1-6 - 2023
- [j24]Haitao Zhao, Fengjing Wu, Wenchao Xia, Yao Zhang, Yiyang Ni, Hongbo Zhu:
Joint Beamforming Design for RIS-Aided Secure Integrated Sensing and Communication Systems. IEEE Commun. Lett. 27(11): 2943-2947 (2023) - [j23]Yao Zhang, Haitao Zhao, Wenchao Xia, Wei Xu, Changbing Tang, Hongbo Zhu:
How Much Does Reconfigurable Intelligent Surface Improve Cell-Free Massive MIMO Uplink With Hardware Impairments? IEEE Trans. Commun. 71(11): 6677-6694 (2023) - [j22]Yao Zhang, Wenchao Xia, Haitao Zhao, Gan Zheng, Sangarapillai Lambotharan, Longxiang Yang:
Performance Analysis of RIS-Assisted Cell-Free Massive MIMO Systems With Transceiver Hardware Impairments. IEEE Trans. Commun. 71(12): 7258-7272 (2023) - [c22]Yunfeng Qi, Hao Fang, Zhengcong Dai, Longxiang Yang, Yao Zhang:
Beamforming Optimization for Cell-Free MIMO Systems Aided by Irregular RIS. ICCT 2023: 815-820 - [c21]Xin Jin, Haitao Zhao, Wenchao Xia, Qin Wang, Yao Zhang, Yiyang Ni:
Energy-Efficient Cell-Free Massive MIMO Systems Based on Radio Stripe. ICCT 2023: 1375-1379 - 2022
- [j21]Yao Zhang, Haitao Zhao, Wenchao Xia, Jun Zhang, Longxiang Yang, Hongbo Zhu:
Wireless-Powered Cell-Free Massive MIMO With Superimposed Pilot Transmission. IEEE Commun. Lett. 26(7): 1688-1692 (2022) - [j20]Hao Fang, Han Hu, Longxiang Yang, Yao Zhang, Xu Qiao:
A combinatorial precoding scheme of cell-free massive MIMO with channel aging. IET Commun. 16(16): 1889-1900 (2022) - [j19]Yao Zhang, Wenchao Xia, Haitao Zhao, Wei Xu, Kai-Kit Wong, Longxiang Yang:
Cell-Free IoT Networks With SWIPT: Performance Analysis and Power Control. IEEE Internet Things J. 9(15): 13780-13793 (2022) - [j18]Yao Zhang, Longxiang Yang, Hongbo Zhu:
Cell-Free Massive MIMO Systems With Low-Resolution ADCs: The Rician Fading Case. IEEE Syst. J. 16(1): 1471-1482 (2022) - [j17]Meng Zhou, Yao Zhang, Xu Qiao, Mangang Xie, Longxiang Yang, Hongbo Zhu:
Multigroup Multicast Downlink Cell-Free Massive MIMO Systems With Multiantenna Users and Low-Resolution ADCs/DACs. IEEE Syst. J. 16(3): 3578-3589 (2022) - [j16]Xu Qiao, Yao Zhang, Meng Zhou, Longxiang Yang, Hongbo Zhu:
Downlink Achievable Rate of D2D Underlaid Cell-Free Massive MIMO Systems With Low-Resolution DACs. IEEE Syst. J. 16(3): 3855-3866 (2022) - [j15]Yao Zhang, Wenchao Xia, Gan Zheng, Haitao Zhao, Longxiang Yang, Hongbo Zhu:
Secure Transmission in Cell-Free Massive MIMO With Low-Resolution DACs Over Rician Fading Channels. IEEE Trans. Commun. 70(4): 2606-2621 (2022) - [j14]Yao Zhang, Haitao Zhao, Wenchao Xia, Feifei Gao, Longxiang Yang, Hongbo Zhu:
Superimposed Pilot Transmission in Cell-Free Massive MIMO With Non-Ideal RF Responses. IEEE Trans. Veh. Technol. 71(12): 12856-12868 (2022) - [c20]Xu Qiao, Yao Zhang, Longxiang Yang, Hongbo Zhu:
Pilot Contamination Precoding Method for Cell-Free Massive MIMO Systems. ICCC 2022: 127-132 - 2021
- [j13]Yao Zhang, Longxiang Yang, Hongbo Zhu:
On the spectral efficiency of cell-free large-scale MIMO non-orthogonal multiple access systems. Digit. Signal Process. 111: 102995 (2021) - [j12]Yao Zhang, Xu Qiao, Longxiang Yang, Hongbo Zhu:
Superimposed Pilots are Beneficial for Mitigating Pilot Contamination in Cell-Free Massive MIMO. IEEE Commun. Lett. 25(1): 279-283 (2021) - [j11]Yao Zhang, Meng Zhou, Yulun Cheng, Longxiang Yang, Hongbo Zhu:
RF Impairments and Low-Resolution ADCs for Nonideal Uplink Cell-Free Massive MIMO Systems. IEEE Syst. J. 15(2): 2519-2530 (2021) - [j10]Yao Zhang, Yulun Cheng, Meng Zhou, Longxiang Yang, Hongbo Zhu:
Analysis of Uplink Cell-Free Massive MIMO System With Mixed-ADC/DAC Receiver. IEEE Syst. J. 15(4): 5162-5173 (2021) - [j9]Yao Zhang, Qi Zhang, Han Hu, Longxiang Yang, Hongbo Zhu:
Cell-Free Massive MIMO Systems With Non-Ideal Hardware: Phase Drifts and Distortion Noise. IEEE Trans. Veh. Technol. 70(11): 11604-11618 (2021) - [c19]Yao Zhang, Wenchao Xia, Yongxu Zhu, Gan Zheng, Feifei Gao:
Cell-Free Massive MIMO With Normalized Conjugate Beamforming and Channel Non-Reciprocities. WCSP 2021: 1-6 - 2020
- [j8]Meng Zhou, Yao Zhang, Xu Qiao, Longxiang Yang:
Spatially Correlated Rayleigh Fading for Cell-Free Massive MIMO Systems. IEEE Access 8: 42154-42168 (2020) - [j7]Xu Qiao, Yao Zhang, Meng Zhou, Longxiang Yang:
Alternating Optimization Based Hybrid Precoding Strategies for Millimeter Wave MIMO Systems. IEEE Access 8: 113078-113089 (2020) - [j6]Yao Zhang, Meng Zhou, Haotong Cao, Longxiang Yang, Hongbo Zhu:
Sum-rate maximization in uplink cell-free massive multiinput multioutput system with jamming. Trans. Emerg. Telecommun. Technol. 31(9) (2020) - [j5]Yao Zhang, Meng Zhou, Haotong Cao, Longxiang Yang, Hongbo Zhu:
On the Performance of Cell-Free Massive MIMO With Mixed-ADC Under Rician Fading Channels. IEEE Commun. Lett. 24(1): 43-47 (2020) - [j4]Yao Zhang, Meng Zhou, Haotong Cao, Yun Liu, Longxiang Yang, Hongbo Zhu:
Joint resource optimisation in cell-free massive MIMO with low-resolution ADCs. IET Commun. 14(12): 1894-1901 (2020) - [c18]Yao Zhang, Haotong Cao, Meng Zhou, Xu Qiao, Shengchen Wu, Longxiang Yang:
Cell-Free Massive MIMO with Few-bit ADCs/DACs: AQNM versus Bussgang. VTC Spring 2020: 1-5
2010 – 2019
- 2019
- [j3]Yao Zhang, Meng Zhou, Xu Qiao, Haotong Cao, Longxiang Yang:
On the Performance of Cell-Free Massive MIMO With Low-Resolution ADCs. IEEE Access 7: 117968-117977 (2019) - [j2]Chao Zhou, Can Chen, Yao Zhang, Fei Ding, Dengyin Zhang:
MH-Net: A Learnable Multi-Hypothesis Network for Compressed Video Sensing. IEEE Access 7: 166606-166613 (2019) - [j1]Yao Zhang, Haotong Cao, Meng Zhou, Longxiang Yang:
Cell-free massive MIMO: Zero forcing and conjugate beamforming receivers. J. Commun. Networks 21(6): 529-538 (2019) - [c17]Yao Zhang, Haotong Cao, Meng Zhou, Shengchen Wu, Longxiang Yang:
Rate Maximization for Cell-Free Massive MIMO with Low-Resolution ADCs. DASC/PiCom/DataCom/CyberSciTech 2019: 897-900 - [c16]Yao Zhang, Haotong Cao, Shengchen Wu, Meng Zhou, Longxiang Yang:
Max-Min Fairness for Cell-Free Massive MIMO with Low-Resolution ADCs. GCCE 2019: 199-200 - [c15]Meng Zhou, Yao Zhang, Haotong Cao, Xu Qiao, Longxiang Yang:
Enhanced Power Allocation Algorithms for Uplink Mixed ADCS Massive MIMO Systems. GLOBECOM Workshops 2019: 1-5 - [c14]Yao Zhang, Haotong Cao, Meng Zhou, Longxiang Yang:
Power Optimization for Energy Efficiency in Cell-Free Massive MIMO with ZF Receiver. ICACT 2019: 366-371 - [c13]Yao Zhang, Haotong Cao, Meng Zhou, Longxiang Yang:
Spectral Efficiency Maximization for Uplink Cell-Free Massive MIMO-NOMA Networks. ICC Workshops 2019: 1-6 - [c12]Haotong Cao, Shengchen Wu, Yao Zhang, Meng Zhou, Longxiang Yang, Hongbo Zhu:
Quality of Service Assisted Mapping Strategy in Virtualization Environment. ICCC 2019: 129-133 - [c11]Yao Zhang, Haotong Cao, Meng Zhou, Xu Qiao, Longxiang Yang:
On the Performance of Cell -Free Massive MIMO with One-Bit ADCs and DACs. ICCC 2019: 293-297 - [c10]Dong Hu, Yao Zhang, Haotong Cao, Meng Zhou, Longxiang Yang:
Energy-Efficient Transmission Design for Downlink Non-Orthogonal Multiple Access Network. ICCE-TW 2019: 1-2 - [c9]Xu Qiao, Yao Zhang, Haotong Cao, Zhiqian Xu, Longxiang Yang:
Hybrid Precoders and Combiners for Sub- Connected and Fully Connected Structures. ICCE-TW 2019: 1-2 - [c8]Zhiqian Xu, Yao Zhang, Xu Qiao, Haotong Cao, Longxiang Yang:
Energy-Efficient Offloading and Resource Allocation for Multi-Access Edge Computing. ICCE-TW 2019: 1-2 - [c7]Yao Zhang, Haotong Cao, Meng Zhou, Yan Li, Longxiang Yang:
Power Minimization for Cell-Free Massive MIMO. ICCE-TW 2019: 1-2 - [c6]Meng Zhou, Yao Zhang, Haotong Cao, Dong Hu, Longxiang Yang:
Max-Min Fairness for Uplink Massive MIMO Systems with Low-Resolution ADC. ICCE-TW 2019: 1-2 - [c5]Yao Zhang, Haotong Cao, Meng Zhou, Xu Qiao, Longxiang Yang:
Rate Analysis of Cell-Free Massive MIMO with One-Bit ADCs and DACs. PIMRC 2019: 1-6 - [c4]Meng Zhou, Mangang Xie, Yao Zhang, Xiangdong Jia, Longxiang Yang:
Safeguarding Non-Best User Association Aided 5G K-Tier HetNets Using Physical Layer Security. VTC Spring 2019: 1-5 - [c3]Yao Zhang, Haotong Cao, Longxiang Yang:
Max-Min Power Optimization in Multigroup Multicast Cell-Free Massive MIMO. WCNC 2019: 1-6 - [c2]Xu Qiao, Yao Zhang, Meng Zhou, Haotong Cao, Longxiang Yang:
Eigen Decomposition-Based Hybrid Precoding for Millimeter Wave MIMO Systems With Low-Resolution ADCs/DACs. WCSP 2019: 1-6 - 2018
- [c1]Yao Zhang, Haotong Cao, Yongan Guo, Longxiang Yang:
SCA Power optimization in Cell-Free Massive MIMO with Short-Term Power Constraints. WCSP 2018: 1-6
Coauthor Index
[j50] [j47] [j46] [j43] [j42] [j41] [j40] [j39] [j35] [j34] [j33] [j32] [j28] [j26] [j25] [j22] [c22] [j21] [j20] [j19] [j18] [j17] [j16] [j15] [j14] [c20] [j13] [j12] [j11] [j10] [j9] [j8] [j7] [j6] [j5] [j4] [c18] [j3] [j1] [c17] [c16] [c15] [c14] [c13] [c12] [c11] [c10] [c9] [c8] [c7] [c6] [c5] [c4] [c3] [c2] [c1]
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