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You have to account for dud rate which is 1/3 of the nukes and middle defenses. Also China has more than 400 cities and the blast area is only good for a five mile radius. You need to take out military facilities as well. There were studies that showed that 7k nukes were not enough to take out...

Nope. It is not enough. You need 2000 nukes.

Hence H-bombs are not really needed. Boosted fission bombs are enough to achieve that yield. Besides anything more than that is just a waste of energy because half of that energy is going up and back to space not sideways.