There is a king and 3 women in a castle. One day, the king give 3 women a total of 100 golds. He said that each woman can propose an idea to share the gold among themselves. If the proposal passed with vote greater than half of the votes, the gold will be shared based on the proposal. Else, the woman who proposed the idea will be killed and the game continue. Assuming the propose sequence is from A to B to C, which one of them will have the greatest advantages in proposing the idea?
Info:
Only proposal with votes greater than half of the voters will be approved, proposal with votes equal to half of the voters is not approved,
King do not involved in voting
All of them are smart
All of them don't want to be killed (first priority)
All of them want the most gold (second priority)
All of them want to kill each other (third priority)
None of them can talk or communicate to each other during the whole process by any means
Hint:
The women with the greatest advantage can have all the gold