left and right, pointing to the start and end of the string respectively.temp1 and temp2, to store the characters being compared.count to keep track of the number of valid decompositions.left is less than right:
a. Append the character at left to temp1 and the character at right to temp2.
b. If temp1 is equal to the reverse of temp2, a valid decomposition is found:
i. Increment count by 2.
ii. Reset temp1 and temp2 to empty strings.
iii. Move left and right pointers inward.
c. If no match is found, continue moving the pointers inward.left equals right and temp1 is empty, increment count by 1.temp1 is not empty, increment count by 1.count.