Raymond wroteHow many steps did the defensive player take after the dribbler got in his path?
After changing direction, and subsequently establishing a new path and direction, were the dribbler and the defender now both traveling in the same path and direction?
If so, I don't think that the number of steps matters:
COMMENT: When both the dribbler and the opponent are moving in exactly the same path and same direction, the player behind is responsible for contact which results if the player in front slows down or stops.
If not, I think that the number of steps does matter because screening principles apply:
COMMENT: Screening principles apply to the dribbler who attempts to cut off an opponent who is approaching in a different path from the rear. In this case, the dribbler must allow such opponent a maximum of two steps or an opportunity to stop or avoid contact.