4. Creation thinking:

Cent cake: Applicant is cut a cake 8 by the requirement, deal out 8 people, but still must stay in cake box have.

5. Group intelligence:

"Lu Bin abdicate is seaborne " : Often be used at the game that when new personality grooms, makes. Assume you are the Lu Bin abdicate in maritime float, there is thing of this a few types in the hand: Match, plastic cloth, mirror, food, water and compass. Your belt is not moved now so much, you most throw what kind of first? Withhold what kind of finally?

Each problem solves a problem to be as follows accordingly: 1. Solve a problem:

Inferential process is such: From hind push ahead, if 1 - 3 robber fed a shark, if remnant mixes 5 4 numbers, 5 certain nay let 4 feed a shark, in order to solely pocket all gold coin. So, 4 support 3 ability to maintain an order only. 3 know this, can carry 100, 0, the cent recipe case of 0, to 5 4 date, miserly will all gold coin returns for oneself have, because he knows 4 empty-handed but still can cast ay, plus oneself one ticket, his plan can be passed.

Nevertheless, 2 postpone the plan that tells 3, can put forward 98, 0, 1, the plan of 1, abandon 3 namely, and give 4 to mix 5 each one gold coin. Because this plan mixes 5 to 4 for more more advantageous than be when 3 date allocation, they will support him and do not hope he goes out bureau and will allocate by 3. Such, 2 will take away 98 gold coin.

But, 2 plan can be understood thoroughly by a place, 1 will put forward 97, 0, 1, 2, 0 or 97, 0, 1, 0, the plan of 2, abandon 2 namely, and give 3 a gold coin, give 4 at the same time (or 5) 2 gold coin. Mix 4 to 3 as a result of 1 this one plan (or 5) for, when allocating than 2 more actor, they will cast 1 ay, plus oneself ticket, 1 plan can be obtained through, 97 gold coin can fall easily into bursa. This is a program that can get the biggest profit undoubtedly.

Can see, this reasoning process considers simplifying extreme case first, thereby track down by following clues, reach final result. Additional, this is the problem of rich play chess in economics actually, a program that offer is the Nash below this kind of circumstance balanced. 2. Solve a problem:

Want to solve this problem, must make full use of balance can estimate a weight of ball of both sides billiards equal this be related is solid, namely whatever moment wants both sides only equiponderant, make clear " blemish ball " not be in these billiards balls.

Say to weigh for the first time, in the both sides of balance each random puts 3 balls. Can have two kinds of likely outcomes at that time. If the weight of balance both sides is of the balance, do not have among 6 balls of metage of OK and definite place " blemish ball " . Because this says the 2nd times to 2 balls that metage leaves want only when weighing, 1 heavier is " blemish ball " . If of balance weigh than across at the same time, so OK and affirmatory " blemish ball " be sure a Yu Tianping is heavier at the same time among 3 balls. Want the 2nd times only when metage from this random takes out 2 to undertake metage among 3 balls. If both sides is balanced, a did not play metage ball that leaves in 3 balls is " blemish ball " , if both sides is lopsided, heavier is at the same time " blemish ball " . 3. Solve a problem:
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