# Updating the grand chessboard sophos updating policy allow location roaming

Many people suggest using the Thue-Morse sequence instead of the alternating sequence of taking turns. If this is the order of paying for things, the sequence gives advantage to the second person.So the suggestion is to take turns taking turns: ABBAABBAABBA…. This new rule can also give a potential advantage to one person, so we should take turns taking turns taking turns.Actually, the fairness of this sequence is overrated. If I pay first every time, this sequence will give me an advantage.It only makes sense to use it if there is a very long stretch of meals.

You might think that if the sequence of prices doesn't grow very fast, then using the Thue-Morse sequence is okay. Here is the sequence of prices that I specifically constructed for this purpose: 5,4,4,4,3,3,3,2,2,2,2,1,1,0,0,0. At the end we get a sequence that I decided to call the Fibonacci fair-share sequence. He also knows that all the genuine coins weigh the same and all the fake coins have different weights, and every fake coin is heavier than a genuine coin. He has a balance scale without weights that he can use to compare the weights of two groups with the same number of coins. The strategy is to compare one coin against one coin.

* * * (submitted by Sam Steingold) I can count to 1023 on my 10 fingers. * * * I kept forgetting my password, so I changed it to "incorrect". Years ago people couldn't figure out this puzzle at all. I was glad that my students suggested so many ideas that work. Thank you to my readers for catching this mistake and to Smylers for suggesting a correction. Invent a connected shape made out of squares on the square grid that cannot be cut into dominoes (rectangles with sides 1 and 2), but if you add a domino to the shape then you can cut the new bigger shape.

Now, when I make a mistake during login, my computer reminds me: "Your password is incorrect." * * * —You promised me 8% interest, and in reality it is 2%. * * * (submitted by Sam Steingold) Quantum entanglement is simple: when you have a pair of socks and you put one of them on your left foot, the other one becomes the "right sock," no matter where it is located in the universe. Most people assume that the professor is male and miss the obvious intended solution, in which a female professor is watching her brother fighting with her husband. Nonetheless, many of them revealed their gender-bias by initially assuming that the professor is a man. The solution to the second problem is to color the shape as a chess board and check that the number of black and white squares is not the same.

If both of them have the same value for each piece, then the Thue-Morse sequence might not be good either.

Suppose one of the pieces they are dividing is worth more than everything else put together.