Our Critical Line puzzles are the perfect activity for a winter’s night in. Enjoy this month’s puzzle by Jevon Fulbrook, which can be solved on your own or with a friend!

For this month’s puzzle, work with the grid below. The red dotted outlined regions represent areas, within which you will need to enter shaded cells. Conditions are as follows:

• You may place shaded cells neither horizontally nor vertically adjacent to one another.
• Further, no horizontal or vertical sequence of blanks may intersect more than two regions
• Numbered regions must contain exactly that many shaded cells.
• All the white squares must be connected, horizontally and/or vertically

See the example and example solution below:

The puzzle below, does have multiple solutions, however the number of grey shaded cells in each column is unique. The answer I am requesting is the number of shaded cells in each column.

Good luck!

### Volume 29 solution

The expected number of rolls is (1+1/n)^n, which of course approaches e, as n tends to infinity.

Four correct responses were received, one from each of Tim Yip, Hemant Rupani, Thomas Zhou and Lawrence Uy.  The winner of the book voucher is Thomas Zhou!

CPD: Actuaries Institute Members can claim two CPD points for every hour of reading articles on Actuaries Digital.

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