CREATE TABLE "past_winners" (
  "year" real,
  "mens_singles" text,
  "womens_singles" text,
  "mens_doubles" text,
  "womens_doubles" text,
  "mixed_doubles" text
);

Question: who won mens doubles when zhou mi won womens singles
SQL: SELECT "mens_doubles" FROM "past_winners" WHERE "womens_singles"='Zhou Mi';

Question: who won mixed doubles when zhou mi won womens singles
SQL: SELECT "mixed_doubles" FROM "past_winners" WHERE "womens_singles"='Zhou Mi';

Question: state the earliest year li xuerui won womens singles
SQL: SELECT MIN("year") FROM "past_winners" WHERE "womens_singles"='Li Xuerui';

Question: state the earliest year li xuerui won womens singles
SQL: SELECT MIN("year") FROM "past_winners" WHERE "womens_singles"='Li Xuerui';

Question: who won womens doubles in 2010
SQL: SELECT "womens_doubles" FROM "past_winners" WHERE "year"=2010;

Question: who won mixed doubles when wang yihan won womens singles
SQL: SELECT "mixed_doubles" FROM "past_winners" WHERE "womens_singles"='Wang Yihan';