Q: H1B Reapplication

Hi! If someone currently has cap exempt H1B VISA (with a non profit academic org.) and expires all 6 years of allowed stay, what would be the next scenario? More specifically if one stays out of US for 1 whole year after H1B stay expiration, can they again apply for cap exempt H1B thru a non profitacademic org. (same or different as the first cap exempt H1B). Lastly, does one has to stay for 1 year in one's country of residence or any country other than US? Thanks.

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