A road network connects several cities. City C can be reached only from city A…

A road network connects several cities. City C can be reached only from city A or city B. The distance from A to C is 65 km, and the distance from B to C is 30 km. The shortest distance between city A and city B is 58 km. The shortest distance from city P to city A is 420 km, and the shortest distance from city P to city B is 345 km. What is the shortest distance from city P to city C, in km?