cross someone's mind vs run into

cross someone's mind

verb
  • To come into someone's thoughts suddenly and fleetingly. 

run into

verb
  • To unexpectedly encounter or meet someone or something (literally or figuratively). 

  • To collide with. 

  • To cause to collide with. 

  • To enter by running. 

  • To blend into; to be followed by or adjacent to without there being a clear boundary. 

  • To cause to blend into. 

  • To reach a large figure. 

How often have the words cross someone's mind and run into occurred in a corpus of books? (source: Google Ngram Viewer )