Is the event recorded in John 12:1-8 considered to be the same event as Mark 14:3-9?

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Both describe a woman anointing Jesus with costly ointment on his head or feet. The place is the same (Bethany), and in John, the woman is identified as the sister of Lazarus. However, there are three problems:

1. The place is different with the John description being in the home of Lazarus, whereas in the Mark description, it is at the home of Simon the Leper.
2. John has the woman anointing the feet of Jesus, whereas Mark has her anointing his head.
3. Mark gives the time as two days before Passover, whereas John’s description takes place 6 days before Passover.

Otherwise, the events are very similar and the quotes from Jesus are almost identical.

If it is the same event, how do we reconcile the differences?