To solve the given code question, we need to determine the pattern or logic used in scrambling the words. Let's analyze the examples provided:
- Example 1: LUCKNOW is written as MTDJONX.
- Comparing L \(\rightarrow\) M: L is the 12th letter, M is the 13th letter. Change is +1.
- Comparing U \(\rightarrow\) T: U is the 21st letter, T is the 20th letter. Change is -1.
- Comparing C \(\rightarrow\) D: C is the 3rd letter, D is the 4th letter. Change is +1.
- Comparing K \(\rightarrow\) J: K is the 11th letter, J is the 10th letter. Change is -1.
- Comparing N \(\rightarrow\) O: N is the 14th letter, O is the 15th letter. Change is +1.
- Comparing O \(\rightarrow\) N: O is the 15th letter, N is the 14th letter. Change is -1.
- Comparing W \(\rightarrow\) X: W is the 23rd letter, X is the 24th letter. Change is +1.
- Example 2: SURFACE is written as TTSEBBF.
- Comparing S \(\rightarrow\) T: Change is +1.
- Comparing U \(\rightarrow\) T: Change is -1.
- Comparing R \(\rightarrow\) S: Change is +1.
- Comparing F \(\rightarrow\) E: Change is -1.
- Comparing A \(\rightarrow\) B: Change is +1.
- Comparing C \(\rightarrow\) B: Change is -1.
- Comparing E \(\rightarrow\) F: Change is +1.
With the identified pattern, let's encode HAPPINESS:
- H: H is the 8th letter. Applying +1, we get I.
- A: A is the 1st letter. Applying -1, we get Z (since Z is before A).
- P: P is the 16th letter. Applying +1, we get Q.
- P: P is the 16th letter. Applying -1, we get O.
- I: I is the 9th letter. Applying +1, we get J.
- N: N is the 14th letter. Applying -1, we get M.
- E: E is the 5th letter. Applying +1, we get F.
- S: S is the 19th letter. Applying -1, we get R.
- S: S is the 19th letter. Applying +1, we get T.
The transformation of HAPPINESS is IZQOJMFRT.
Therefore, the correct answer is IZQOJMFRT.