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Zorluk: Çok zorCoding and Decoding

In a certain code system, words are transformed according to the following rules:
1. Every vowel is replaced by its reverse alphabetical counterpart (where AZA \leftrightarrow Z, EVE \leftrightarrow V, IRI \leftrightarrow R, OLO \leftrightarrow L, UFU \leftrightarrow F, such that the sum of the positional values of the original and transformed letter is 2727).
2. Every consonant located at an odd-numbered position in the word (1st, 3rd, 5th...) is replaced by the letter 33 steps ahead of it in the alphabetical series (+3+3).
3. Every consonant located at an even-numbered position in the word (2nd, 4th, 6th...) is replaced by the letter 22 steps behind it in the alphabetical series (2-2).

If the word 'TRIANGLE' is coded as 'WPRZQEOV', which of the following represents the correct code for the word 'SOLUTION' in this language?

  1. VLOFWRLLCevap
  2. B
    VLOFWRLQ
  3. C
    QLJFRRLL
  4. D
    VKOEWQKL

Cevap

The correct code for the word 'SOLUTION' is 'VLOFWRLL'.
The correct code 'VLOFWRLL' is obtained by applying the specified rules systematically: 'S' (1st letter, consonant at odd position) becomes 'V' (+3+3); 'O' (2nd letter, vowel) becomes its reverse letter 'L' (2715=1227-15=12); 'L' (3rd letter, consonant at odd position) becomes 'O' (+3+3); 'U' (4th letter, vowel) becomes its reverse letter 'F' (2721=627-21=6); 'T' (5th letter, consonant at odd position) becomes 'W' (+3+3); 'I' (6th letter, vowel) becomes its reverse letter 'R' (279=1827-9=18); 'O' (7th letter, vowel) becomes its reverse letter 'L' (2715=1227-15=12); and 'N' (8th letter, consonant at even position) becomes 'L' (2-2).

Adım Adım Çözüm

1
Analyze the rule verification on the example word 'TRIANGLE'
Position 1 (T, Consonant, Odd) T+3=W\rightarrow T+3 = W; Position 2 (R, Consonant, Even) R2=P\rightarrow R-2 = P; Position 3 (I, Vowel) 279=18(R)\rightarrow 27-9 = 18 (R); Position 4 (A, Vowel) 271=26(Z)\rightarrow 27-1 = 26 (Z); Position 5 (N, Consonant, Odd) N+3=Q\rightarrow N+3 = Q; Position 6 (G, Consonant, Even) G2=E\rightarrow G-2 = E; Position 7 (L, Consonant, Odd) L+3=O\rightarrow L+3 = O; Position 8 (E, Vowel) 275=22(V)\rightarrow 27-5 = 22 (V). Output: 'WPRZQEOV'.
Confirms that the three-part rule set applies strictly by letter type and 1-indexed letter position.
2
Apply rules to the target word 'SOLUTION' letter by letter
1st letter 'S' (Odd pos, Consonant): S(19)+3=22(V)S (19) + 3 = 22 (V).
2nd letter 'O' (Vowel): Reverse of O(15)O (15) is 2715=12(L)27 - 15 = 12 (L).
3rd letter 'L' (Odd pos, Consonant): L(12)+3=15(O)L (12) + 3 = 15 (O).
4th letter 'U' (Vowel): Reverse of U(21)U (21) is 2721=6(F)27 - 21 = 6 (F).
5th letter 'T' (Odd pos, Consonant): T(20)+3=23(W)T (20) + 3 = 23 (W).
6th letter 'I' (Vowel): Reverse of I(9)I (9) is 279=18(R)27 - 9 = 18 (R).
7th letter 'O' (Vowel): Reverse of O(15)O (15) is 2715=12(L)27 - 15 = 12 (L).
8th letter 'N' (Even pos, Consonant): N(14)2=12(L)N (14) - 2 = 12 (L).
Evaluates each character in 'SOLUTION' according to its specific classification and position.
3
Combine transformed letters to get final coded string
'VLOFWRLL'
Concatenates individual output characters into the complete coded string.

Anahtar Kavram

Multi-rule positional letter shifting combined with reverse alphabetical indexing (27n27 - n rule).
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