Question

Given two dictionaries d1 and d2, create a new dictionary d3 according to the following rule (think of transitivity): the entry a:c is in d3 if and only if there is an entry a:b in d1, and an entry b:c in d2. For instance: if d1={2:3,8:19,6:4,5:3} and d2={2:5,4:3,3:9} your code should create the dictionary d3={2:9,6:3,5:9}.

Answer 1

The code generates the dictionary d3 = {2: 9, 6: 3, 5: 9}.This process continues for all the elements in d1 and d2, generating the resultant dictionary d3 based on the transitive relationship between their keys and values.

Explanation:

The code is designed to create a new dictionary, d3, based on the relationship between the elements in d1 and d2 following the rule of transitivity. It iterates through the keys and values of d1 and d2, checking for the necessary conditions to form entries in d3. For each key-value pair (a:b) in d1, it examines if there exists a corresponding key-value pair (b:c) in d2. If found, it combines the keys 'a' from d1 and 'c' from d2, creating a new entry in d3 with the key 'a' from d1 and the value 'c' from d2.

In the given example, d1 = {2:3, 8:19, 6:4, 5:3} and d2 = {2:5, 4:3, 3:9}. It identifies that 2:3 in d1 and 2:5 in d2 satisfy the condition, providing a link between 2:3 in d1 and 5:9 in d2. Consequently, the code creates the entry 2:9 in d3. Similarly, it finds matches for 6:4 in d1 and 4:3 in d2, resulting in 6:3 in d3. Finally, for 5:3 in d1 and 3:9 in d2, it forms the entry 5:9 in d3.

This process continues for all the elements in d1 and d2, generating the resultant dictionary d3 based on the transitive relationship between their keys and values.