well, use the child you have to try to get the mushies...
if you don't want to scrap the village, the only other thing you can do is to put the other villagers on research, watch them closely, and when they do the little side step, pick them up and drop them back on the table...you might be able to get enough points to buy the last farming tech before they starve, esp if you also keep the kid on mushroom duty and maybe pray for the right event to help you!
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Why is it that if someone tells you that there are 1 billion stars in the universe you will believe them,
but if they tell you a wall has wet paint you will have to touch it to be sure?