The difficulty of the first round could be "x", and the difficulty of the second round would be "10000x". Each of the miners who are "selected" during the first round could need to have their "block" include the hash of the previous block, and the first "block" in the first round would need to include the hash of block found in the second round. The found block in the second round would need to sign the hash of the last block of the first round. This is very similar to how bitcoin mining occurs today.
wait, so you're saying that 2 blocks are going to be produced? one in round 1 and one in round 2? that's starting to get confusing. maybe we need someone to break this down and explain exactly what is going on so that it is understandable because the way you explained it right now makes it seem like there are going to need to be 2 blocks, one for each round. does that double the blockchain size?
