What is the Maximum Number of Partitions problem and how can it be solved using a greedy algorithm?

Greedy Algorithms Questions



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What is the Maximum Number of Partitions problem and how can it be solved using a greedy algorithm?

The Maximum Number of Partitions problem is a problem where we are given a string and we need to find the maximum number of partitions such that each partition contains only distinct characters.

To solve this problem using a greedy algorithm, we can iterate through the string from left to right. We maintain a set to keep track of the distinct characters encountered so far.

For each character encountered, we check if it is already present in the set. If it is not present, we add it to the set and increment the count of partitions. If it is already present, it means that we have encountered a character that was already seen before, and we need to start a new partition. So, we clear the set and add the current character to it, and increment the count of partitions.

By following this greedy approach, we ensure that each partition contains only distinct characters, and we maximize the number of partitions.