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Liu et al. Soft Sci. 2025, 5, 7  https://dx.doi.org/10.20517/ss.2024.69         Page 21 of 25

               DECLARATIONS
               Authors’ contributions
               Project administration, conceptualization, investigation, writing - review and editing: He, M., Qin, S., Song,
               P.
               Investigation, writing - review and editing: Zhou, D., Huang, F., Shi, Y.
               Writing - original draft: Liu, S.


               Availability of data and materials
               Not applicable.


               Financial support and sponsorship
               The authors acknowledge financial support from the National Natural Science Foundation of China (Grant
               No. 52163011), the Youth Talent Program of Guizhou Education Department (Qianjiaoji[2024]338), and
               the Science and Technology Project of Guizhou Province (QianKeHe ZhiCheng[2023] General 146;
               QianKeHe Pingtai Rencai CXTD[2023]012).


               Conflicts of interest
               All authors declared that there are no conflicts of interest.


               Ethical approval and consent to participate
               Not applicable.


               Consent for publication
               Not applicable.

               Copyright
               © The Author(s) 2025.

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