Need a python code using dynamic programming to solve this problem with the limitations provided.

the previuos solutions eaither to be examples of inputs/outputs, or incomplete python code because of long steps and explination, or not using dynamic programming !

input: standard input output: standard output The Computer Science department keeps getting larger, and our department has more and more undergraduate students and graduate students every year. Eventually, the department decided to partition CS 287; Colloquium in Computer Science, into two sections since otherwise no classroom is big enough for all students. Yihan is running CS 287 now. Yihan has lots of experience on running the colloquium. She categorized the speakers based on their research areas: theory. system, and Al. The students don't like to attend talks in the same category consecutively. More precisely, the students will consider this talk and the two previous talks (or fewer if there haven't been that many), and: - If they are in same category, students will only pay attention to the talk for 20 minutes. - If they are from two categories, students will pay attention to the talk for 40 minutes. - If they are all from three different categaries, students will pay aftention to the talk for the entire 60 minutes. Yihan has contacted n prominent computer scientists to give the talks. Of course, the speakers are busy, so they have committed s certain day to give the talk. Yihan knows the order, and her task is to determine which speaker should go to which section. The speakers do not like to give the same talk twice, so Yihan can only assign himvher to one of the sections. Input The first line contains an integer n(1n100,000). The second line contains a string consisting of n characters, indicating the speakers research areas in the order their taiks. Each character will be one of the uppercase letters ' T ' (for theory). ' S ' (for systern) or ' A ' (for A ). Output The output contains only one number, the total time (in minutes) that the students will pay attention to for both sections. The two sections can have different numbers of speakers