R version 4.5.2 (2025-10-31 ucrt)
Platform: x86_64-w64-mingw32/x64
Running under: Windows 11 x64 (build 26200)

Matrix products: default
  LAPACK version 3.12.1

locale:
[1] LC_COLLATE=Chinese (Simplified)_China.utf8 
[2] LC_CTYPE=Chinese (Simplified)_China.utf8   
[3] LC_MONETARY=Chinese (Simplified)_China.utf8
[4] LC_NUMERIC=C                               
[5] LC_TIME=Chinese (Simplified)_China.utf8    

time zone: Asia/Shanghai
tzcode source: internal

attached base packages:
[1] stats     graphics  grDevices utils     datasets  methods   base     

other attached packages:
 [1] ggplot2_4.0.3   cluster_2.1.8.1 igraph_2.3.3    Matrix_1.7-4   
 [5] purrr_1.2.2     stringr_1.6.0   tidyr_1.3.2     dplyr_1.2.1    
 [9] writexl_2.0.0   readxl_1.5.0   

loaded via a namespace (and not attached):
 [1] vctrs_0.7.3        cli_3.6.6          rlang_1.3.0        stringi_1.8.9     
 [5] generics_0.1.4     textshaping_1.0.5  S7_0.2.2           labeling_0.4.3    
 [9] glue_1.8.1         ragg_1.5.2         scales_1.4.0       grid_4.5.2        
[13] cellranger_1.1.0   tibble_3.3.1       lifecycle_1.0.5    compiler_4.5.2    
[17] RColorBrewer_1.1-3 pkgconfig_2.0.3    systemfonts_1.3.2  farver_2.1.2      
[21] lattice_0.22-7     R6_2.6.1           tidyselect_1.2.1   pillar_1.11.1     
[25] magrittr_2.0.5     withr_3.0.3        tools_4.5.2        gtable_0.3.6      
