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In his simulations, it was extremely rare for someone to have their mutual first picks; but many people had those that were second or third picks. In this scenario a couple counts as happy if each is near the top of the other's list and neither can find someone they and that other person would both prefer more.
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[8] R. Ulichney: “The void-and-cluster method for dither array generation” (1993). ↑
There is a special form for boolean formulas called "Conjunctive Normal Form" (CNF). A problem in this form consists of clauses connected with and operators, where each clause only contains variables connected with or operators. The variables can appear negated, but only variables can be directly negated, something like !(a && b) is not allowed. An example boolean formula in CNF form is: