II the January publication consists exclusively of articles by Behroz, Dipu, and Sakib, then the August publication must contain an article by which of the following authors?

Explanation: এই puzzle টির condition গুলো হল: 1. প্রত্যেকটি magazine এ কমপক্ষে 2-টি articles থাকতে হবে। 2. Rashed ও Sakib এর articles একই magazine এ published হতে পারবেনা। 3. কোন magazine এ Arshad এর article published হলে Behroz এর article ও published হতে হবে। 4. কোন magazine এ Emon এর article published হলে Rashed এর article তার immediate আগের magazine এ published হতে হবে। 5. কোন author এর article পরপর দুটি magazine এ বা একই magazine এ দুবার published হতে পারবেনা। January publication is \(\{B, D, S\}\). Rashed is excluded from April (Rule 4 cannot be triggered yet) and August (Rule 5 is not relevant). Since B and S are in January, they cannot be in April (Rule 5). D is also in January, so D cannot be in April (Rule 5). The authors who must have at least one article published are: A, B, D, E, F, R, S, Z. Since B, D, S are in Jan, A, E, F, R, Z must be in April or Aug. April must have at least one author from \(\{A, E, F, R, Z\}\). Case 1: April has R. Then Aug cannot have S (Rule 2), cannot have R, B, D (Rule 5), cannot have A (Rule 3 needs B), can have E (Rule 4 satisfied). If Aug is \(E\), it needs another author from \(\{A, B, D, F, S, Z\}\) not in Jan or April. Since A, B, D, R, S cannot be in Aug, only F or Z can be with E. Total authors published: B, D, S (Jan), R, X (April), E, Y (Aug). Since A must be published, R in April is problematic. Case 2: April does not have R. E cannot be in Aug (Rule 4). So, A must be in Aug to satisfy overall publication rule. A in Aug means B must also be in Aug (Rule 3). Thus, B must be in the August publication.