In a certain language code, DIAMOND is coded as VQYMKLV. How is CRUELTY coded?

CONCEPT

Represent each letter by its alphabet position: A = 1, B = 2, ..., Z = 26.

In this code, an input letter and its coded letter have positions whose sum is 26, so coded position = 26 − input position.

APPLICATION

1. C is at position 3, so 26 − 3 = 23, which is W.

2. R is at position 18, so 26 − 18 = 8, which is H.

3. U is at position 21, so 26 − 21 = 5, which is E.

4. E is at position 5, so 26 − 5 = 21, which is U.

5. L is at position 12, so 26 − 12 = 14, which is N.

6. T is at position 20, so 26 − 20 = 6, which is F.

7. Y is at position 25, so 26 − 25 = 1, which is A.

Combining the coded letters gives WHEUNFA.

CROSS-CHECK

The source example follows the same invariant; each corresponding position pair sums to 26.