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Acknowledgements

T.A. was partially supported by JSPS KAKENHI (grant no. 18H04113). This work was also supported in part by

Research Collaboration Projects of the Institute for Chemical Research, Kyoto University, Kyoto, Japan.

Author contributions

F. W. designed the method, conducted the computational experiments, and wrote the draft of the manuscript.

Y.-T. C and J.-M. Y. gave important suggestions on computational experiments. T. A. gave the problem setting

and supervised the research. Y.-T. C., J.-M. Y., and T. A. improved the manuscript. All authors have reviewed

and approved the content of this article.

Competing interests The authors declare no competing interests.

Additional information

Supplementary Information The online version contains supplementary material available at https://​doi.​org/​

10.​1038/​s41598-​021-​04230-7.

Correspondence and requests for materials should be addressed to F.W.

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