# Minimum Number Of Frogs Croaking

## Problem Statement:

We are given the string croakOfFrogs, which represents a combination of the string "croak" from different frogs, that is, multiple frogs can croak at the same time, so multiple "croak" are mixed.

Return the minimum number of different frogs to finish all the croaks in the given string.

A valid "croak" means a frog is printing five letters sequentially: 'c', 'r', 'o', 'a', and 'k'. The frogs have to print all five letters to finish a croak. If the given string is not a combination of a valid "croak," return -1.

## Java Implementation

### Java Approach 1

Output:

Code Explanation:

• The code defines a Solution class with a minNumberOfFrogs method, which takes a string representing the croak of frogs. It iterates through each character, incrementing counts for 'c,' 'r,' 'o', and 'a'. If the order of appearance is violated, it returns -1.
• For 'k,' it updates the maximum count of frogs, decrements count and checks the validity of the croak. The method returns the minimum number of frogs required for the valid croak.

Time Complexity:

• The time complexity is O(N), N being the size of input string spellingOfFrogs. The algorithm do a single run over the entire string by iterating the operation which involves a constant time.

Space Complexity:

• Though space complexity is O(1). To show this, the method contacts the constant extra space allocation of the tally value r and c. The space complexity doesn't depend on the size of the input.

Drawback:

• The weakness of the solution is that it involves counting the frequency of each letter sequentially and assumes certain versioning. In case the input does not obey this order or is incomplete croak, the solution may be wrong.

### Java Approach 2

Output:

Code Explanation:

• The code defines a class Solution with a method minNumberOfFrogs to find the minimum number of frogs needed to produce a given croak sequence. The algorithm uses an array to store the frequencies of each croak sound ('c,' 'r,' 'o', 'a', 'k') and iterates through the input string. It checks if the sequence is valid by incrementing and decrementing counts based on croak occurrences. The maximum count of 'c' at any point represents the minimum number of frogs required. The program also ensures the length of the input is a multiple of 5 and returns -1 if any invalid condition is encountered.

Time Complexity:

• The time complexity comes out to be O(n), for each n value represent length of an input string croakOfFrogs. This is a core operation which is done on each character as well as traversing the string once.

Space Complexity:

• The space complexity is O(1) due to the constant memory consumption for freq array and map. It is size-independent.

Drawback:

• The proposed solution's weakness is its dependence on some specific character indices and frequency arrays, which makes it less flexible regarding changes taking place with respect to the input or modifications made to the croak pattern.
• The method assumes a particular order of characters ('c', 'r', 'o' , 'a', and k) that requires additional negative frequency checks. This strict framework may result in errors as the croakOfFrogs string does not fit into a given format.

### Java Approach 3

Output:

Code Explanation:

• The code defines a class Solution with a method minNumberOfFrogs that calculates the minimum number of frogs needed to produce a given sequence of frog sounds. It uses an array croak to keep track of the count of each sound ('c', 'r', 'o', 'a', 'k').
• The function iterates through the input string, updating the count of each sound and checking for the validity of the sequence. The index mapping function getIndex ensures proper indexing. The result is the maximum count of the 'c' sound, representing the minimum number of frogs required.

Time Complexity:

• The running time of minNumberOfFrogs is O(n) and n is defined as the part of CroakOfFrogs that we need to determine. This function does not move through the string, but it deals with each character separately. Every time, the function performs a constant-time operation for each character.

Space Complexity:

• The space complexity of the process being managed is O(1), because the auxiliary storage like croak array and index variable required is considered to be constant. Regarding to space complexity, it doesn't depend on how long the string is.