Micro Softy 69: A Bunch of Switches
Where switching theory meets strategyComputer engineers are required to study digital logic. This includes switching theory. Last week’s Micro Softy relates to this week’s puzzle, so let’s give last week’s solution first.
Solution to Micro Softy 68: An Overcrowded Prison
Frenchy was the 100th prisoner at the Pokey Nook Prison. Every day, each of the 100 prisoners here must flip a switch. Prisoner #1 goes first, then #2, etc up to prisoner #100. There are two switches next to each other. A prisoner can flip either switch but could only flip one. If Frenchy can tell the Warden with certainty when the 101st prisoner arrives, he’ll be released,
Frenchy and the other prisoners at Pokey Nook Prison flipped a switch each day for 101 days, On the 102nd day, Frenchy announced with certainty the 101st prisoner had arrived. How did he know?
The answer lies in 100 being an even number.
Suppose Frenchy starts with both switches in the up position. After 100 flips, including Frenchy’s flip, the switches will either both be up or both be down. If the initial configuration had one switch up and one down, then after 100 flips including Frenchy’s, they would still be in a one-up, one-down arrangement. Any other resulting configuration would signal to Frenchy that the 101st prisoner has arrived.
A Really Overcrowded Prison
This week’s Micro Softy is similar to last week’s but harder. Fritz is interred at the Meugler La Prison. Like Pokey Nook Prison, it is overcrowded. Fritz is the 100th prisoner. He gets the same deal as Frenchy but, instead of two switches, there are seven. Every day, each prisoner flips one and only one of the switches. The prisoner can choose a different switch each time. If Fritz identifies when the 101st prisoner is admitted, Fritz is set free.
Fritz goes in the first day and sees one of the seven switches down and the rest up. He dutifully flips one of the switches.
How does Fritz know when the 101st prisoner is admitted to his prison? That’s this week’s Micro Softy puzzle.
The Monday Micro Softy is a weekly feature of Mind Matters News. Here are the links to all the puzzles and answers to date:
Monday Micro Softy 68: An Overcrowded Prison featured Frenchy and the other prisoners at Pokey Nook Prison, who flipped a switch each day for 101 days. On the 102nd day, Frenchy announced with certainty the 101st prisoner had arrived. How did he know? You can find puzzles 55 through 68 here as well.
Monday Micro Softy 67: Three Switches and a Song was about switching theory. Wide Clyde wants to go upstairs to cook some Top Raman noodles. To do that, he needs to identify which of three switches controls the hot plate upstairs. The hot plate is plugged in but currently off. The other two switches turn outside lights off and on. Wide Clyde can’t see outside, so he can’t determine which switches control the lights. How can Wide Clyde determine which switch controls the hot plate with just one trip upstairs? You can find puzzles 55 through 67 here as well.
Monday Micro Softy 66: Reducing Repetitive Repetition requires being BFF’s with numbers, and last week’s Micro Softy was tough and mathy. Here is the solution: Any three-digit number multiplied by 1001 duplicates the number. For example, 214 x 1001 = 214,214. And 13 x 11 x 7 = 1001. So dividing the big number by 13, then 11 and then 7 is the same as dividing by 1001. The original three-digit number always results!
Monday Micro Softy 65: Fathers and sons was about two fathers and their two sons who walked into a Bass Pro Shop in Memphis, Tennessee. Each man bought an AK47 rifle with ammunition and a 75-round drum magazine. But all together, only three AK47’s were sold. How could this be? The solution is there were altogether two fathers (father and grandfather) and two sons (the father and his son) but only three men. You can find puzzles 55 through 65 here as well.
Monday Micro Softy 64: Old Time Phishing was about an investment banker, Geardown Geko, who received anonymous tips forecasting the outcome of future events starting in 1948. The solution is: The winner of Tipper’s phishing lottery. It was a type of phishing where in the end there was a single winner participant, Geko. Someone had to win. Everyone else who bet on the predictions eventually was a loser. You can find puzzles 55 through 64 here as well.
Monday Micro Softy 63: A Beggar’s Tale. Exceptional nerds are psychologists who see through surface actions. Such a skill is required to solve this Micro Softy. The solution to Freaky Bob’s strategy is: If he had taken the $10, he’d have lost repeat customers. Nobody would’ve been entertained. Choosing the $5 kept people coming back with more cash, proving far more lucrative for him in the long run. You can find puzzles 55 through 63 here as well.
Monday Micro Softy 62: The Ordeal of Sisyphus Fats. The best computer programmers and engineers must be good at scheduling. Last week’s Micro Softy tests this ability and the solution is that Sisyphus Fats took 98 minutes to push the large bowing ball to the top of the 100-foot hill. You can find puzzles 55 through 62 here as well.
Monday Micro Softy 61: Micro Softy Take Five was more of a trivia question than it was a puzzle. To solve Micro Softy 61, the answer is the theme for the Mission Impossible movie franchise starring Tom Cruz. You can find puzzles 55 through 61 here as well.
Monday Micro Softy 60: Here’s a puzzle from Gunsmoke Told to “get out of Dodge”after a shooting, a gunslinger does so at a nearly inexplicable time. Can you solve the puzzle?
To solve Microsofty 59, recall that direction of air flow is due to pressure — not size. Which tire is under more pressure? You can find puzzles 56 through 59 here as well.
Monday Micro Softy 55: “It happens every spring.” Baseball, that is. Here’s a puzzle that takes in baseball’s summer. To solve last week’s puzzle, you don’t need to know the distance. Check the problem again for the number you do need to know. You can find puzzles 51 through 54 here as well.
Monday Micro Softy 50: Cutting through the cornbread. How did Yuri Senior cut the cornbread into eight identical portions using only three straight cuts? You can guess the answer to Microsofty 49 if you try the test question yourself at home, using a small mirror. Links to Microsofties 46 through 49 are here as well.
Monday Micro Softy 45: Can Tony beat the fast-food curfew? An early curfew on fast food service motivated a boy to exercise more vigorously. But how fast was he pedaling? To solve Micro Softy 44, recall that Tony doesn’t need to take the individual pills each day, only the prescribed amount of each. You will find links here to Micros Softies 41 through 44 as well.
Monday Micro Softy 40: The fate of a false prophet. He wasn’t actually fired for being a false prophet but for something that his prophecy unintentionally revealed. The solution to Micro Softy 39 lies in considering an alternative possible meaning of a word commonly used in sports. You will also find links to Micro Softies 30 through 39 and their answers here as well.
Monday Micro Softy 29: A funeral lament in four lines. The funeral director was puzzled by Dan’s description of his relationship to the deceased but there was no question that his grief was sincere Here, you will also find links to Microsofties 22 through 29.
Monday Micro Softy 21: Finding More of the Deadly Fentanyl Pills. Here, you will also find links to Microsofties 11 through 20 as well.
Monday Micro Softy 11: What Happened to That Other Dollar? Here you will find links to the first ten Micro Softies. Have fun!
