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Unfortunately with "energy", there is no free lunch.

Say you designed a pump that was 200% efficient,

Water flow is induced by drop.Say you add 5 feet of drop to your canals.Then you simply have to raise your water an additional 5 feet in height which is going to require MORE energy, not less.

Hmmm,Say you are raising the water 100 feet.Then, optimally, with 1 foot drop, you should be able to raise 1% of the water 100 feet.For 5 feet of drop, you should be able to raise 5% of the water.However, I'd anticipate your water wheels to be far from optimal. I don't have the efficiency numbers, but if the wheel is, say 20% efficient, then you would get the equivalent of 0.2% of the water flow being raised 100 feet per foot of drop.