_{This puzzle is a part of the Puzzling Stack Exchange Advent Calendar 2022. The accepted reply to this query might be awarded a bounty value 50 popularity.}

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Dear puzzlers

I’ve an enormous downside: A worldwide catastrophe is about to occur.
Our trash cans are virtually full. And as well as, we’re quick on paper.
Since you all are so good at discovering issues out, are you able to please scale back our waste downside?

Some context:
The reason for the issue is that our paper recycling machine broke down.
It is just not repairable anymore.

Of course, I instantly ordered a brand new one, however intensive utilization and the temperature state of affairs forces me to order it from the specialists.
The pinguins instantly went to work and are delivery a brand new chilly resistant paper recycling machine as we communicate, however as you may think about supply occasions are fairly dangerous.

I’ve thought of beginning up the paper manufacturing facility throughout wintertime, however as you most likely know it’s completely night time right here throughout winter.
The darkness makes it fairly laborious to search out and course of timber right here on the NorthPole, and with out wooden we can not make additional paper.

So, I see just one fast resolution: Be much less wasteful whereas creating the paper wrappings of our items.

Thanks prematurely, Santa

PS: Our working course of:

• Each elf will get an oblong piece of paper, cuts a wrapping out of it for an oblong current; folds it round mentioned current, and throws the leftover paper within the garbage can so it may be recycled
• The measurement of the current is kind of versatile, however the longest edge shouldn’t be greater than twice the size of the shortest edge.
• In this emergency, the elves ought to be able to making 4 wrappings out of 1 piece of paper. More might be too difficult and simply result in accidents, we don’t want that! The 4 wrappings would not have to be the identical.

Αny discount in waste might be very appreciated and instantly included in our course of. If the waste might be diminished to half rapidly, Christmas ought to be secure.

I assume all the pieces is obvious now, however to keep away from any confusion and or delay some examples beneath.