You are given a binary string min bits to flip(either from 0 --> 1 or 1 --> 0) to become number of 1's divisible by 4 and palindrome string

example s = 1110 if i flip the last bit 0 to 1 then the string becomes 1111 which is palindrome and the number of 1's divisible by 4

can anyone tell me its solution or intuition??