Sorry to blunt, but I don't understand the meaning of the task.
Explain what needs to be done.

Examples of chewing the tasks:
abaa
1. i = 1, j = 1, k = 2; ' a ' and ' b ' palindromes
2. i = 1, j = 3, k = 4; ' aba ' and ' a ' palindromes
3. i = 2, j = 2, k = 3; ' b ' and ' a ' palindromes
4. i = 2, j = 2, k = 4; ' b ' and ' aa ' palindromes
5. i = 3, j = 3, k = 4; ' a ' and ' a ' palindromes

Russian text:
Разжевывание примера из задачи:
abaa
1. i=1, j=1, k=2; 'a' и 'b' палиндромы
2. i=1, j=3, k=4; 'aba' и 'a' палиндромы
3. i=2, j=2, k=3; 'b' и 'a' палиндромы
4. i=2, j=2, k=4; 'b' и 'aa' палиндромы
5. i=3, j=3, k=4; 'a' и 'a' палиндромы

you can use Manacher's algorithm.