Based on prior knowledge, the presence of cardiogenic shock at the time of admission to the intensive care unit (ICU) might indicate a higher likelihood of developing chronic heart failure (CHF). 

To conduct a thorough analysis of the relationship between the feature "K_SH_POST" and the task of determining whether the patient shows chronic heart failure, we need to examine the values of the feature for each target class.

Let's analyze the relationship by considering the potential values of feature "K_SH_POST" for each target class.

For the target class "no" (indicating no chronic heart failure), possible values for feature "K_SH_POST" could be:

- "no" (meaning no cardiogenic shock at the time of ICU admission)

For the target class "yes" (indicating chronic heart failure), possible values for feature "K_SH_POST" could be:

- "yes" (indicating the presence of cardiogenic shock at the time of ICU admission)

Based on this analysis, we can create a dictionary with the following format:

```json
{
	"no": ["no"],
	"yes": ["yes"]
}
```

Please note that this analysis assumes that the feature "K_SH_POST" directly corresponds to the presence or absence of chronic heart failure. There might be additional features and considerations necessary for a more comprehensive analysis, but based on the provided information, this dictionary captures the relationship between the feature and the task.