Required Mathematical Intelligence

Chapter 62 The distribution of 100 gold coins
100 gold coins are divided among 5 people, and each person proposes a distribution plan. In order, the condition is that as long as half or more of the people disagree with the distribution plan, the person who proposed the distribution plan will be beheaded. How to distribute can not be dead ?What was the result of the distribution?

[Answer: 1. According to the order of proposals, let 5 people be a, b, c, d, e respectively.

2. Assume that a and b are both dead, leaving only c, d, and e; in this case, no matter what, c and d can't get together, and even his own life is controlled by e.

3. Therefore, b is definitely not dead.

4. Let’s discuss the situation where a is dead and only b, c, d, and e are left: because if b dies, the lives of c and d will be manipulated by e, so even if b doesn’t give c and d a piece, they are very Agree is not allowed.So if a dies, the result is 100, 0, 0, 0.
5. Therefore, as long as a knows the situation after his death, he can propose a plan of 97, 0, 1, 1, 1. ]
(End of this chapter)