Science based Compatibility
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Summary
Post-war birthrates in Konoha are low.
The Fire Daimyo issues an order to boost those numbers.
Sakura is part of the science team to create an algorithm to find the most compatible partners amongst the shinobi of Konoha.
Soon to be Rokudaime, Kakashi feels obligated to participate in the Daimyo's pairing lottery. He shouldn't ask his people to do something he's not willing to do himself.
Kakashi and Sakura are partnered with the highest compatibility score -- they aren't complaining!