Related to the problem

can you pls tell how to proceed with this problem or the logic to solve it?

you are given a string which contains only ‘(’ and ‘)’. Size of the string will be m. You have to append two strings one in prefix and another one in suffix to make that string valid and conditions for validity are given below:

  • At any index, number of opening brackets should be greater than closing brackets
  • No. of opening and closing brackets should be equal. You have to tell number of combinations of string a and b if its possible, otherwise print “0” Print the asnwer with modulo 10^9 + 7.

this problem is based on 3D dp
you can check this code to understand

i went through the code but cant understand what is the logic behind it

check this one

Modified Code

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