Multiply two polynomials(JAVA) - Expected Time Complexity : O(M * N) - Simple Tricks - GeeksforGeek

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This video contains how to Multiply two polynomials in java.
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Question :- https://practice.geeksforgeeks.org/problems/multiply-two-polynomals0721/0/?difficulty[]=0#

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Front-Back Transformation - copy?

Given a string S, consisting only of english alphabets, replace all the alphabets with the alphabets occuring at the same position when counted in reverse order of alphabets. For example, 'a' would be replaced by 'z', 'b' by 'y', 'c' by 'x' and so on. Any capital letters would be replaced by capital letters only.



Example 1:

Input: S = "Hello"
Output: Svool
Explanation: 'H' is the 8th letter from the
beginning of alphabets, which is replaced by
'S' which comes at 8th position in reverse order
of alphabets. Similarly, all other letters are
replaced by their respective upper or lower case
letters accordingly.

Example 2:

Input: S = "GfG"
Output: TuT
Explanation: 'G' is replaced with 'T'
and 'f' is replaced with 'u'


Your Task:
You don't need to read input or print anything. Your task is to complete the function convert() which accepts a string as input parameter and returns the modified string according to given conditions.



Expected Time Complexity: O(Length of string)
Expected Auxiliary Space: O(Length of string)

Q :-
Multiply two polynomials?


Given two polynomials represented by two arrays that contains the coefficients of poynomials, returns the polynomial in form of array formed after multiplication of given polynomials.


Example 1:

Input:
M = 4, N = 3
Arr1 = {1 , 0, 3, 2}
Arr2 = {2, 0, 4}
Output: {2, 0, 10, 4, 12, 8}
Explaination:
First polynomial:
1 + 0x1 + 3x2 + 2x3
Second polynomial:
2 + 0x1 + 4x2
Product polynomial:
2 + 0x1 + 10x2 + 4x3 + 12x4 + 8x5

Example 2:

Input:
M = 5, N = 4
Arr1 = {1, 9, 3, 4, 7}
Arr1 = {4, 0, 2, 5}
Output: {4, 36, 14, 39, 79, 23, 34, 35}
Explaination:
First polynomial:
1 + 9x1 + 3x2 + 4x3 + 7x4
Second polynomial:
4 + 0x1 + 2x2 + 5x3
Product polynomial:
4 + 36x1 + 14x2 + 39x3 + 79x4 + 23x5 + 34x6 + 35x7

Your Task:
You don't need to read input or print anything. Your task is to complete the function polyMultiply() which takes the array Arr1[] and Arr2[]and their size M and N as input parameters and returns the polynomial in form of array formed after multiplication of given polynomials..


Expected Time Complexity: O(M*N)
Expected Auxiliary Space: O(M*N)