Reading Program Constraints

Six friends (A, B, C, D, E, F) are reading six distinct books (G, H, I, J, K, L).

Key Constraints:

• A and B do not read books G, J, L.
• F is reading book H.
• B, C, and D do not read books I, L.

Book Assignments Deduction

1. Friend F: It's given that F reads H. This means H is unavailable for friends A, B, C, D, and E.

   Initial Possibilities:

   • A: Can't read G, J, L, H. Possible: {I, K}
   • B: Can't read G, J, L, H. Possible: {I, K}
   • C: Can't read I, L, H. Possible: {G, J, K}
   • D: Can't read I, L, H. Possible: {G, J, K}
   • E: No direct restrictions yet.
   • F: Reads H.

2. Book L: Consider book L. Friends A, B, C, and D cannot read it. Friend F is reading H. This leaves only Friend E to read book L.

   Assignment: E reads L.

   Current Assignments: F -> H, E -> L.

   Remaining Books for A, B, C, D: {G, J, I, K}

3. Books G, J, K for C, D: From step 1, friends A and B must choose their books from {I, K}. This means book K must be assigned to either A or B.

   Since K is taken by either A or B, it cannot be read by C or D. C and D's possibilities were {G, J, K}. Now they are restricted to {G, J}.

   Deduction: C and D read books G and J (in some order).

4. Books I, K for A, B: With F reading H, E reading L, and C, D reading G and J, the only books left for A and B are I and K.

   Deduction: {A, B} read books {I, K}.

5. Friend B's Constraint: We know that B cannot read book I. Since B must read either I or K, B must read book K.

   Assignment: B reads K.

6. Friend A: Since A and B must read books I and K, and we've determined B reads K, A must read the remaining book, which is I.

   Assignment: A reads I.