About the Authors

Yusen Zhao

Roles Conceptualization, Data curation, Formal analysis, Methodology, Resources, Software, Validation, Writing – original draft, Writing – review & editing

Affiliations Institute of Applied Mathematics, Hebei Academy of Sciences, Shijiazhuang, Hebei, China, Hebei Province Information Security Certification Technology Innovation Center, Shijiazhuang, Hebei, China

Liang Tian

Roles Funding acquisition, Methodology, Supervision, Validation

tianliang@hebtu.edu.cn (LT); wangyonggang@hebtu.edu.cn (YW)

Affiliations School of Mathematical Sciences, Hebei Normal University, Shijiazhuang, Hebei, China, Hebei Digital Education Collaborative Innovation Center, Shijiazhuang, Hebei, China

Yonggang Wang

Roles Funding acquisition, Methodology, Supervision, Validation

tianliang@hebtu.edu.cn (LT); wangyonggang@hebtu.edu.cn (YW)

Affiliations School of Mathematical Sciences, Hebei Normal University, Shijiazhuang, Hebei, China, Hebei Digital Education Collaborative Innovation Center, Shijiazhuang, Hebei, China

Competing Interests

NO authors have competing interests.