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Английский >> Реальный футбол
Brain Teasers (58)
#8. The Washing Machine
The five mercenaries in question #4 are joined by another more senior officer, called Siege, making 6 of them.
They are told that they are going to have to retreat but they are given leave to go on the rampage and see what else they can pillage and plunder before leaving. They are very angry and frustrated when they return with just one washing machine.
The same rules apply as before,
Siege proposes a distribution of the loot and all of the mercenaries vote on the proposal. If at least half of them agree the loot is divided as proposed..
If he fails to obtain the support of at least half his men (which includes himself), he faces a mutiny, and they will turn against him and kill him. The remainder start again with the next highest in rank taking over command.
They are so angry, they now value in priority order:
- Their lives
- The washing machine
- Killing the other mercenaries
So if given the choice between two equal outcomes, in which they either get the loot or they don't, they'd choose the outcome where they get to see more of the others die.
But there are 6 of them and just one washing machine.
Can Siege save his skin, and if so, how?
my skin will not be saved.. because 1 washing machine can't be looted by 6 people..
Oh dear! You may as well propose that you keep the w/m then as you have nothing to lose. :)
#9. The Monkey and the Coconut
Ten managers are punished with a forum ban and marooned on a deserted island to serve their sentence. There they find lots of coconuts and a resident monkey, who is feisty and aggressive. During their first day they gather coconuts and put them all in a community pile. After working all day they decide to sleep and divide them into ten equal piles the next morning.
That night one castaway wakes up hungry and decides to take his share early. After dividing up the coconuts he finds he is one coconut short of ten equal piles. He also notices the monkey holding one more coconut. So he tries to take the monkey's coconut to have a total evenly divisible by 10. However when he tries to take it the monkey conks him on the head with it and kills him.
Later another castaway wakes up hungry and decides to take his share early. On the way to the coconuts he finds the body of the first castaway, which pleases him because he will now be entitled to 1/9 of the total pile. After dividing them up into nine piles he is again one coconut short and tries to take the monkey's slightly bloodied coconut. The monkey conks the second man on the head and kills him.
One by one each of the remaining castaways goes through the same process, until the 10th person to wake up gets the entire pile for himself. What is the smallest number of possible coconuts in the pile, not counting the monkey's?
#10. The Rocking Soccer Prison
The jailer, Vincent, meets with 25 new managers - also known as prisoners - when they arrive. He tells them, "You may meet today and plan a strategy. But after today, you will be in isolated cells and will have no communication with one another."
"Hidden somewhere in the game is a secret switch room, which contains two light switches labeled A and B, each of which can be in either the on or the off position. I am not telling you their present positions. The switches are not connected to anything."
"After today, from time to time, whenever I feel so inclined, I will select one prisoner at random and escort him to the switch room. This prisoner will select one of the two switches and reverse its position. He must flip one switch when he visits the switch room, and may only flip one of the switches. Then he'll be led back to his cell."
"No one else will be allowed to alter the switches until I lead the next prisoner into the switch room. I'm going to choose prisoners at random. I may choose the same manager three times in a row, or I may jump around and come back. I will not touch the switches, if I wanted you dead you would already be dead."
"Given enough time, everyone will eventually visit the switch room lots of times and over a long duration the visits will be shared out evenly. At any time, anyone may declare to me, 'We have all visited the secret switch room.'"
"If it is true, then you will all be set free and may leave the game. If it is false, and somebody has not yet visited the switch room, you will all die horribly. You will be carefully monitored, and any attempt to break any of these rules will result in instant death to all of you."
What is the strategy they come up with so that they can be free?
That's 10 puzzles from me folks, which is probably more than enough to keep you going for a while.
Let me know if anyone wants any more at some point.
Solutions are here:
https://rockingsoccer.com/en/soccer/forum/home-en/1?topic=87910
Is 2519 coconuts too much? :D Because original number(2520) must divide with every number from 1 to 10. Important numbers are 9, 8, 7 and 5 as 8 and 5 hide 10; 8 and 9 hide 6; 4 and 2 are in 8 and 3 in 9. 9x8x7x5=2520.
With such amount only counting takes too much time that it can't be done 9 times and if you are aiming for 200+ coconuts who cares about 1 less? You probably can't consume them all before going bad.
About washing machine: Siege will take washing machine and rent out it to every mercenary for one day in a week. Should be enough.
Why don't we swap Siege with the monkey and then see what happens when the mercenaries try to steal his coconut? :D
so now we use racial slurs innit?
You are right. Not fair against the monkey.
#4. Let's work backwards.
If the first 3 are killed, the 4th mercenary keeps all the loot because his/her 1 vote is enough to get 50% of votes. So the 5th mercenary will accept just 1 coin from mercenary 1, 2 or 3. That means if the first 2 are killed, the 3rd mercenary knows (s)he can offer the 5th mercenary 1 coin, keep the other 99 and get a majority vote. However, (s)he also knows that if the 1st mercenary is killed, the 2nd mercenary offers mercenary 5 one coin, keeps the other 99 and gets 50% of votes, so (s)he will accept 1 coin from the 1st mercenary rather than get nothing.
So if the 1st mercenary offers the 3rd and 5th mercenary 1 coin each, (s)he gets a majority vote and gets to keep 98 of the 100 coins.
Is that it?
nope.. you failed
@ipfreely
Pretty much correct, the only minor issue is that if M2 offers M5 only one coin, he would do just as well in the next round, so there's no guarantee he would take it.
@monkey - siege is trying to steal your coconut, you know what to do. Thanks :)