How should I practice Count Good Strings?

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Count Good Strings

Commvault● MediumOA

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Problem statement

There is a string of length 2N containing only character A and B. The string is called good string if the following two conditions are satisfied:

The number of A and number of B in that string will be same and that is N, means N numbers of A and N numbers of B will be present in that string.
The number of A will be always greater than or equal to the number of B in any prefix string of that string.

Now you are given N and you need to count the number of good strings of length 2N, the answer may be very large so return the answer in modulo 10000.

Function

countGoodStrings(N: int) → int

Examples

Example 1

N = 3return = 5

Here are the good strings of length 2N when N=3:

"AAABBB" good
"AABABB" good
"AABBAB" good
"ABAABB" good
"ABABAB" good

"BABABA" is not a good string because the number of Bs is greater than the number of As in the prefix "BA". Therefore, the count of good strings is 5.

Constraints

o_o

Problem statement

Function

Examples

Example 1

Constraints

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