The Egg+Egg+Egg+Egg+Key formula is obviously to explain the initial purpose of Stop N' Swop. It's not about how many eggs we have now-- the initial # of eggs required to activate SnS was 4. Rare apparently added a couple more to prevent hackers from doing something with it, I don't know. The thing is, apparently there were 4 eggs initially and the last two were added to further prevent SnS to be broken down.
That is why the formula depicts 4 eggs, that is why the Xmas Card has a 4-egg carton in the corner.
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