Deconstructing the Code Language

This problem involves understanding a simple substitution cipher where words in a sentence are represented by specific coded words. The goal is to figure out the unique code assigned to the word 'tiger' by comparing the provided examples.

Analyzing the Coded Sentences

We are given three sentences with their corresponding codes:

• Sentence 1: 'tiger is the king' is coded as '\(ki ni hi li\)'
• Sentence 2: 'king rules the kingdom' is coded as '\(di li ti ni\)'
• Sentence 3: 'the baby is sleeping' is coded as '\(gi ni si ki\)'

We need to find the code for 'tiger'.

Identifying Word-Code Mappings

Let's break down the code by comparing the sentences to find common words and their codes.

Step 1: Finding common codes between Sentence 1 and Sentence 3

• Sentence 1 words: {tiger, is, the, king} map to codes: {\(ki, ni, hi, li\)}
• Sentence 3 words: {the, baby, is, sleeping} map to codes: {\(gi, ni, si, ki\)}
• The words common to both sentences are 'is' and 'the'.
• The codes common to both code sets are '\(ni\)' and '\(ki\)'.
• Therefore, 'is' and 'the' must correspond to '\(ni\)' and '\(ki\)' in some order.

Step 2: Finding common codes between Sentence 1 and Sentence 2

• Sentence 1 words: {tiger, is, the, king} map to codes: {\(ki, ni, hi, li\)}
• Sentence 2 words: {king, rules, the, kingdom} map to codes: {\(di, li, ti, ni\)}
• The word common to both sentences is 'king'.
• The codes common to both code sets are '\(ni\)' and '\(li\)'.
• Therefore, 'king' must correspond to either '\(ni\)' or '\(li\)'.

Step 3: Determining the code for 'the'

The word 'the' appears in all three sentences.

• Codes in Sentence 1: {\(ki, ni, hi, li\)}
• Codes in Sentence 2: {\(di, li, ti, ni\)}
• Codes in Sentence 3: {\(gi, ni, si, ki\)}
• By checking the codes present in all three sets, we find that '\(ni\)' is the only common code.
• Thus, we can conclude: 'the' -> '\(ni\)'.

Step 4: Determining the code for 'is'

'is' appears in Sentence 1 and Sentence 3.

• From Step 1, we know 'is' and 'the' correspond to '\(ni\)' and '\(ki\)'.
• From Step 3, we confirmed 'the' -> '\(ni\)'.
• This leaves '\(ki\)' as the code for 'is'.
• Thus: 'is' -> '\(ki\)'.

Step 5: Determining the code for 'king'

'king' appears in Sentence 1 and Sentence 2.

• From Step 2, we identified 'king' corresponds to either '\(ni\)' or '\(li\)'.
• We already know 'the' -> '\(ni\)'.
• Therefore, the code for 'king' must be the remaining common code, which is '\(li\)'.
• Thus: 'king' -> '\(li\)'.

Step 6: Determining the code for 'tiger'

The word 'tiger' appears only in Sentence 1.

• Sentence 1: 'tiger is the king' -> '\(ki ni hi li\)'
• We have identified the codes for 'is' (\(ki\)), 'the' (\(ni\)), and 'king' (\(li\)).
• The codes used in Sentence 1 are {\(ki, ni, hi, li\)}.
• The remaining word in Sentence 1 is 'tiger', and the remaining code is '\(hi\)'.
• Therefore: 'tiger' -> '\(hi\)'.

Conclusion

By comparing the coded sentences and identifying common words and their corresponding codes, we deduce that the word 'tiger' is represented by the code '\(hi\)' in this specific language.