Probably stick to machines and free weights on the 24 hours. If I use too much weight I get dizzy real fast and have to take a couple minutes to catch my breath. But that's just me, could be different for others. After you break your fast on the 48th hour and assuming you have no refeeding issues you should have the energy for a full workout after a couple hours.Low intensity, gotcha. Olympic lifts, machines?
You'll have better results if you think of fasting as a skill that has as much or as little variations as you believe it does.