After five pirates robbed 100 gold coins, they discussed how to distribute them fairly. They agreed on the distribution principle is:
(1) Draw lots to determine each person's distribution sequence number (1, 2, 3, 4, 5);
(2) Pirates who draw lots. 1 Propose a distribution plan, and then five people will vote. If the plan is agreed by more than half of the people, it will be distributed according to his plan, otherwise 1 will be thrown into the sea to feed sharks;
(3) If 1 is thrown into the sea, No.2 puts forward the allocation plan, and then four people are left to vote. If and only if more than half of the people agree, they will be allocated according to his proposal, otherwise they will be thrown into the sea;
4 and so on.
Assuming that every pirate is extremely intelligent and rational, they can make strict logical reasoning and rationally judge their own gains and losses, that is, they can get the most gold coins on the premise of saving their lives. At the same time, assuming that the results of each round of voting can be implemented smoothly, what distribution scheme should the pirates who have drawn 1 put forward to avoid being thrown into the sea and get more gold coins?
Card guessing problem
Mr. S, Mr. P and Mr. Q know that there are 16 playing cards in the desk drawer: hearts A and Q, 4 spades J, 8, 4, 2, 7, 3 flowers K, Q, 5, 4 and 6 diamonds A and 5. Professor John chooses a card from 16 card, tells Mr. P the number of points in this card, and tells Mr. Q the color of this card. At this time, Professor John asked Mr. P and Mr. Q: Can you infer what this card is from the known points or colors? So, Mr. S heard the following conversation:
Mr. P: I don't know this card.
Mr q: I know you don't know this card.
Sir: Now I know this card.
Mr. Q: I know that, too.
After listening to the above conversation, Mr. S thought about it and correctly deduced what this card was.
Excuse me: What kind of card is this?
Rope burning problem
It takes 1 hour to burn an uneven rope from beginning to end. Now several ropes are made of the same material. How to time an hour and fifteen minutes by burning rope?
Table tennis problem
Suppose there are 100 ping-pong balls arranged together, and two people take turns to put the balls in their pockets. The winner is the person who can get the100th table tennis. The condition is: the person who holds the ball must take at least 1 at a time and not more than 5 at most. Q: If you are the first person to take the ball, how many should you take? How can I take it in the future to ensure that you can get the100th table tennis?
Guigu Kaotu
Sun Bin and Pang Juan are both disciples of Guiguzi; One day, the ghost came up with a problem: he chose two different integers from 2 to 99, told Sun the product and told Pang the sum.
Pang said: I'm not sure what these two numbers are, but I'm sure you don't know what these two numbers are either.
Sun said: I really didn't know at first, but after listening to your words, I can confirm these two figures now.
Pang said, since you put it that way, I know what these two numbers are.
What are these two numbers? Why?
Five prisoners
Five prisoners, according to 1-5, caught mung beans in sacks containing 100 mung beans. It is stipulated that everyone should catch at least one, and those who catch at most and at least should be put to death. And they can't communicate with each other, but when they catch, they can find out the remaining number of beans. Ask them who has the best chance of survival.
Tip:
1, are very smart people.
Their principle is to save people first, and then kill more people.
3, 100 don't have to finish it all.
4. If there is any duplication, it will be regarded as the largest or smallest and executed together.
Einstein posed a question. He said that 90% of the people in the world couldn't answer it. See if you belong to 10%.
Content:
1. There are five houses in five colors.
The owner of each house has different nationalities.
Each of these five people only drinks one brand, smokes one brand and keeps a pet.
No one keeps the same pet, smokes the same brand of cigarettes and drinks the same brand.
Known conditions:
1. The British live in a red house.
The Swede has a dog.
3. Danes drink tea
The green house is on the left of the white house.
5. The owner of the greenhouse drinks coffee
6. PALL MALL smokers have a bird.
7. The owner of the yellow house smokes Dunhill cigarettes.
8. People who live in the middle house drink milk.
9. Norwegians live in the first house.
10. People who smoke mixed cigarettes live with people who own cats.
1 1. Horse owners live next door to smokers on Dunhill Road.
12. People who smoke blue masters drink beer.
13. Germans smoke prince cigarettes
14. Norwegians live next to the blue house.
15. Neighbors of people who smoke mixed cigarettes drink mineral water.
Question: Who raises fish?
Weighing ball problem
There are 12 balls and a balance. Now we know that only one of them is different in weight from the others. How can we find the ball after weighing it three times? Note that this problem does not indicate whether the weight of the ball is light or heavy, so it needs careful consideration. )
Black hat ball
A group of people are dancing, each wearing a hat. There are only two kinds of hats, black and white, and there is at least one kind of black. Everyone can see the color of other people's hats, but not their own. The host first shows you what hats others are wearing, and then turns off the lights. If someone thinks he is wearing a black hat, he will slap himself in the face. The first time I turned off the lights, there was no sound. So I turned on the light again and everyone watched it again. When I turned off the light, it was still silent. I didn't get a slap in the face until I turned off the light for the third time. How many people are wearing black hats?
/s？ wd = % C2 % DF % BC % AD % D6 % C7 % c 1% A6 % CC % E2 & amp； lm = 0 & ampsi = & amprn= 10。 tn = dwso _ 5 _ dg & ampie = GB 23 12 & amp； ct = 0 & ampcl = 3 & ampf= 1。 rsp= 1