BHM: Cities but better

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Across
  1. 5. A British colony until 1997
  2. 6. Has a basketball team and contains the Alamo
  3. 9. Hollywood!
  4. 10. Incas built this city
  5. 11. African city in 1993; major battle
  6. 13. One of the most prosperous cities in China
Down
  1. 1. Dwight Eisenhower was raised here
  2. 2. The most populous city in the world
  3. 3. Chinese capital
  4. 4. The first Continental Congress was held here
  5. 7. City built on 3 major islands in the US
  6. 8. A Portugese Colony until 1999
  7. 12. A major turning point in WW2 occurred here in 1941