To interpret the provided input-output pairs and the rules, we can analyze it step by step.
Given Input | Output:
- 14 → 8
- 15 → 9
- 8 → 2
- 12 → 6
Breakdown of Rules:
-
Subtract 6.
- This operation appears to be applied to the input to produce the output.
- For example:
- For input 14: 14 - 6 = 8 (Output: 8)
- For input 15: 15 - 6 = 9 (Output: 9)
- For input 12: 12 - 6 = 6 (Output: 6)
- For input 8: 8 - 6 = 2 (Output: 2)
So, the first conclusion is that the operation applied is subtracting 6 from the input.
-
Divide by 2, then add 1.
- This rule might be another method applied to the input, though it doesn't seem to yield the previous outputs directly.
- For example:
- For input 14: (14 / 2) + 1 = 7 + 1 = 8
- For input 15: (15 / 2) + 1 = 7.5 + 1 = 8.5 (which isn't a direct output)
- However, it does not apply well to other cases, such as 8 or 12.
-
Writing 8.
- This seems to be an instruction rather than a calculation step, perhaps referring to a final output statement.
Final rules to create outputs based on input:
- General Rule Identified:
- Subtract 6 from the input to obtain the output.
Example Application:
If we apply the rule derived, we can create outputs for other inputs as follows:
For an arbitrary input, say 20:
- Output = 20 - 6 = 14.
For input 10:
- Output = 10 - 6 = 4.
In summary, the clear approach is to subtract 6 from the given input to determine the output. If using the additional rule (divide by 2, then add 1) is necessary, we'd need more context on where it should be applied, as it seems less relevant to the outputs provided.
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