A 3-by-3 magic square contains the integers from 6 to 14. (Each row, column, and diagonal adds up to the same number.)
Given the clues following, what integer is in each square?
The number in the top-right corner square is 10, 11, or 12.
The corner squares’ values are either all odd or all even.
The bottom-center number is 7, or 14, or maybe 13.
Submit your answer to Gene Wirchenko <firstname.lastname@example.org>. Your answer should be in the form of a proof. That means to show how your answer must be correct. The deadline is Wednesday, June 28, 2017 at noon Pacific Time. I will post the answer shortly after.
I have lately started snacking on roasted seaweed. It is quite popular in Japan.
One of the things that struck me about it is the size of the package: only five grams. It comes in nine sheets that are about 6 by 9 cm each.
Eating it one sheet at a time, I have noticed that a lot of my eating of snack foods has been rather automatic: just stuffing it in. This is important to me since I need to lose some weight. I hope it is useful to you.
A recent SoraNews24 article has an odd sentence: “The actual shrine itself, though, is hidden from view so you’ll need to walk through the torii, then make your way around the right-hand coast of the island.”
The issue: “right-hand coast”? It is correct, but it is definitely not the way I would express it. How about you?
Note that the link is correct. SoraNews24 recently changed their name from RocketNews24, but they have not fully updated their Website yet.
You have some one-colour marbles, each one of red, orange, yellow, green, blue, and violet. No two marble counts of a colour add up to twelve. There is at least one and no more than nine of each colour. There is exactly one sequence of three consecutive marble counts of a colour (like 4, 5, and 6). The number of marbles of each colour is different. Only one marble count of a colour is a square.
What are each of the six marble counts? Note that, in this puzzle, you do not need to figure out which count goes with which colour.
Submit your answer to Gene Wirchenko <email@example.com>. Your answer should be in the form of a proof. That means to show how your answer must be correct. The deadline is Wednesday, June 21, 2017 at noon Pacific Time. I will post the answer shortly after.