Initialize a graph as a dictionary to store the connections between synonyms.
For each pair of synonyms, add a bidirectional edge in the graph.
Initialize a queue and add the original sentence to it.
Initialize a set to keep track of visited sentences to avoid duplicates.
While the queue is not empty:
a. Dequeue a sentence from the queue.
b. Split the sentence into words.
c. For each word, if it has synonyms in the graph:
i. For each synonym, create a new sentence by replacing the word with its synonym.
ii. If the new sentence has not been visited, add it to the queue and the visited set.
Convert the visited set to a list and sort it lexicographically.
Return the sorted list of sentences.
DFS & Backtracking Approach for Generating Synonymous Sentences