Correction to: Scientific Report https://doi.org/10.1038/s41598-024-75546-3, published online 17 October 2024

In the original version of this Article, Affiliations 2 and 6 were not listed in the correct order. Additionally, Affiliation 6 contained an error where the country name ‘Sudan’ was incorrectly given as ‘South Sudan’. The correct affiliations are listed below:

Affiliation 2:

Department of Information System, College of Computer and Information Sciences, Majmaah University, 11952, Al-Majmaah, Saudi Arabia.

Affiliation 6:

Department of Mathematics, College of Education, Elfasher University, El Fasher, Sudan.

The original Article has been corrected.