One,
Mr. P, Mr. Q has sufficient reasoning skills. On this day, they are accepting an interview.
They know that there are 16 poker cards in the table's drawers:
Red peaches A, Q, 4
Black peach J, 8, 4, 2, 7, 3
Grass flower K, Q, 5, 4, 6
Square A, 5
Professor John picked up a card from the 16 cards, telling Mr. P at the number of points of this card, put this card
Mr. Q telling the flower.
At this time, Professor John asked Mr. P and Q: Can you know this card from a known point or color?
Mr. P: "I don't know this card."
Mr. Q: "I know you don't know this card."
Mr. P: "Now I know this card."
Mr. Q: "I also know."
Excuse me: What brand is this card?
two,
5 pirates grabbed 100 gems, each of the same size and value in the city.
They decided this:
1, draw a lot to determine your own number (1, 2, 3, 4, 5)
2, first, the distribution plan is proposed, then everyone will vote, and when and only half of the people agree, according to his proposal, it will be thrown into the sea to feed shark.
3, if the 1st is dead, then put a distribution plan 2, then 4 people vote, when and only half of the people agree, according to his proposal, otherwise it will be thrown into the sea. shark.
4, push it by subclass ...
condition:
Every pirate is very smart, it can be reasonable to determine the loss and make a choice.
problem:
What all the distribution programs will be made to maximize their income?
three,
50 households in the village have raised a dog, now I know that there is a disease, everyone can observe the dogs of others, but can't observe their own, can't communicate with each other, inadequate it, I will shoot it after the disease. The next day didn't move quietly, I came in the third day, and I asked a few sick dogs.
four,
Professor took three white caps, two black caps, told three students to give them a hat, everyone can see other two people, can't see their own, guess what color hats you wear. After wearing it, the three hoped for a while, and then said that he wear the white hat. Professor smiled. Asked what?
Fives,
There is a bunch of hats that contain seven known colors, now give 7 people every person, each other can be the same. Everyone can see the color of the other people, but can't see themselves, read it is not allowed to communicate, guess your colors, and don't let others know. Before wearing a hat, everyone can discuss, there is no strategy, so that at least one person will guess?
six,
A palette, remove the cat, up to a, minimum of 2, no color difference. Four people play, each person takes a card, showing others to others. But I don't know what this card is. When a card in a person is greater than the other owner's card, he will win, because there is no difference in color, therefore there is a possibility. In order to sequentially, it will be inferred. According to the inference, the most advanced conclusion (may be: "I don't know", "I won", "I lost", "I don't win", "I don't lose", "I and"). This happens: the first round, four people said that the second round is still the case, the first three people in the third round still say, ask the fourth person to say anything, what is his hand, What is the card of other people?
Seven,
The teacher picks two integers from 2-40, telling them and tells A, and tells B, and tells everyone that is not more than 200. Let's say: You must not know the number of my hands. B said: I know now. A said: I also know your number. Ask, how much is the two numbers? Eight,
The teacher wrote the three numbers on three sheets, and attached to the three student's heads, telling them that the three numbers were positive integers, one of which was the other two. Everyone can see the number of other two, can't see yourself. I have guess the number of my heads now. The first student said: "I don't know", the second third also said. Then ask the first one again, he also said that the second student still said that the third student said: "I know, is 144". What is the other two?
