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  • $\begingroup$ You got A and B wrong. Both in the inequality and the single B should be A. Otherwise I will accept this as the correct answer. Thanks :) $\endgroup$
    – Edza
    Commented Nov 9, 2017 at 14:53
  • $\begingroup$ What do you mean by "If instead you match her with boy #k or with nobody,". How could you swap with "nobody" without breaking everything? $\endgroup$
    – Edza
    Commented Nov 9, 2017 at 15:59
  • $\begingroup$ Thanks for the general idea. Looks correct. Accepted as answer. $\endgroup$
    – Edza
    Commented Nov 10, 2017 at 12:16