How can i make use of python program to solve this?

Bridge Crossing at Night puzzle: A group of five people, who have one flashlight,need to cross a rickety bridge at night. A maximum of three persons can cross the

bridge at one time, and any party that crosses(either two or three ) must have the flashlight with them. The flashlight must be walked back and forth; it cannot be

thrown. Person A takes 1.5minutes to cross the bridge,Person B takes 2minutes, Person C takes 4.25minutes, Person D takes 5minutes, and person E takes 9minutes.

At least, two persons must walk together at the slower person's pace

here is my math on solving it

--> indicates to while <-- indicates fro

--> A,B,C = takes 4.25mins

<--- A = takes 1.5mins

--> A,D,E = takes 9mins

therefore total time is 14.75mins

but how can i write a python program to solve it