How to collect gems by lottery?

I think 1 take 98 yuan, 1 give it to No.3, and 1 give it to No.5.

Why do No.3 and No.5 have to agree to this division? Let's look back:

1. If there are only No.4 and No.5 left, No.4 will definitely take 100, and No.5 will get nothing.

2. If No.3, No.4, No.5 and No.3 are left, you should give yourself 99, and No.5 should get 1, so you can win No.5 over, because if No.5 doesn't agree, the first situation will occur, and he will get nothing, so he will definitely agree.

3. If the remaining No.2, No.3, No.4, No.5 and No.2 have to give themselves 1 for No.4, so that No.4 can win over, and 50% of the pirates will agree, because if No.4 doesn't agree, the second situation will occur, and he will get nothing, so he will definitely agree.

4. Then the number 1 will be divided into 98, 3 1 and 5 1, so they can win them all over, because if they don't agree, there will be a third situation, and they will get nothing, so they will definitely agree.