This computer science problem involves algorithmic thinking and programming concepts. The solution below explains the approach, logic, and implementation step by step.
ScanSolve AI Answer
The problem asks us to find the missing letter cluster based on the relationship between the given pairs. Let's analyze the relationship between the first pair: NICE : MOHJBDDF We can observe a pattern where each letter in the first word is replaced by two letters in the second cluster: the letter immediately preceding it and the letter immediately succeeding it in the alphabet. N (14) → M (13), O (15) I (9) → H (8), J (10) C (3) → B (2), D (4) E (5) → D (4), F (6) So, NICE → (N-1)(N+1)(I-1)(I+1)(C-1)(C+1)(E-1)(E+1) → MOHJBDDF. Let's verify this pattern with the second pair: KIND : JLHJMOCE K (11) → J (10), L (12) I (9) → H (8), J (10) N (14) → M (13), O (15) D (4) → C (3), E (5) So, KIND → (K-1)(K+1)(I-1)(I+1)(N-1)(N+1)(D-1)(D+1) → JLHJMOCE. The pattern holds true. Now, let's apply this pattern to LAZY: L (12) → K (11), M (13) → KM A (1) → Z (26), B (2) → ZB (A-1 is Z, A+1 is B) Z (26) → Y (25), A (1) → YA (Z-1 is Y, Z+1 is A) Y (25) → X (24), Z (26) → XZ Combining these, we get: LAZY → KM ZB YA XZ Now, let's compare this with the given options: 1. KMZBXAY 2. MKBZAYZX 3. AYZXMKBZ 4. KMZBYAXZ Our derived cluster matches option 4. The final answer is KMZBYAXZ