Maybe I misunderstand the term ‘bin packing’, but I always thought that it applied to the problem of assigning weighted objects to bins with a maximum weight allowance, in such a way that there is as little “wasted space” as possible. Aside from the general terminology of putting things in a bin, this idea doesn't seem to share anything with that problem setting. (The pseudo-code looks good for the OP's problem, though, assuming that remove is non-destructive.)

In reply to Re^2: Gift Exchange Code by JadeNB
in thread Gift Exchange Code by agianni

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