2
$\begingroup$

I'm trying to understand the solution to a puzzle named "Expelled," the link to which is here. Most of the solution to the puzzle makes sense to me, except the most important part -- how to determine what the next line looks like based on the previous line! Speaking specifically, can someone please decipher for me the line "Starting at the expelled number in row n-1, row n is generated by writing the numbers positioned (-1,1,-2,2,-3,3,-4,4,…) away from the expelled number, as long as they exist, where negative numbers mean “to the left” and positive numbers mean “to the right.”"? Thank you!

$\endgroup$
2
$\begingroup$

Puzzle as described

As you can see above, the number $1$ is expelled in the first row. The number sequence $ (-1,1,-2,2,-3,3,-4,4,…) $ describes the relative position from the expelled number (assuming the number at the position exists). Now, number at position $-1$ for $1$ doesn't exist. So moving on to next, we get position $1$ which is 2. Obviously numbers at position $\lt 0$ doesn't exist for this. To make it more clear, we shall take the $5\text{th}$ row, here the number expelled is $4$ i.e. $5\text{th}$ number in the $5\text{th}$ row as stated. Now, \begin{array}{ | l | l | } \hline \text{Position} & \text{Number} \\ \hline -1 & 9 \\ \hline 1 & 10 \\ \hline -2 & 6 \\ \hline 2 & 11 \\ \hline -3 & 8 \\ \hline 3 & 12 \\ \hline -4 & 2 \\ \hline 4 & 13 \\ \hline \end{array}

in which the number column is clearly the next row.

| improve this answer | |
$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.