Strategy vs Template Method

Both Strategy and Template Method allow you to vary part of an algorithm. What is the fundamental difference in how they achieve this?

Strategy requires virtual functions, while Template Method uses function pointers

Strategy uses composition (injecting the varying behavior as an object), while Template Method uses inheritance (overriding steps in a subclass)

Strategy works at compile time, while Template Method works at runtime

Strategy defines the entire algorithm externally, while Template Method only defines individual steps