CF802O April Fools' Problem (hard)

The plans for HC $ ^{2} $ are rather far-fetched: we are just over 500 000 days away from HC $ ^{2} $ 3387, for example, and accordingly we are planning to have a couple hundred thousand problems in that edition (we hope that programming contests will become wildly more popular). The marmots need to get to work, and they could use a good plan...

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