easiest way to breed villagers?

the food bit has an amount to it. each villager has to be holding three bread, or twelve carrots, potatoes or beetroot, before it's willing. hands off version: put a farmer next to a small patch of crops. he harvests it and throws food to the others himself, so they keep breeding while you're away.

two things have to be true at once: enough beds that there's a spare unclaimed one, and both villagers carrying food. throw bread or carrots at them and they'll pick it up. if nothing happens it's almost always the beds - they have to be reachable, not walled in. how many beds have they got between them?