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Authors
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Funding
Funding for this research was provided by:
National Natural Science Foundation of China (12271226)
National Natural Science Foundation of China (12471163)
National Science Foundation (DMS-2052648; DMS-2424605)
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Article History
Received: 1 November 2024
Revised: 3 August 2025
Accepted: 21 November 2025
First Online: 4 December 2025
Declarations
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: The authors declare that there is no conflict of interest in this paper.
: not applicable.
