While technically okay, there are multiple cases where a paddle and the ball move at the almost identical speed and it looks like the paddle is pushing the ball

While technically okay, there are multiple cases where a paddle and the ball move at the almost identical speed and it looks like the paddle is pushing the ball all the time. (By the way, p[i] = 0 should be disallowed for this reason.) This is inevitable when a large d[i] is immediately followed by a very small d[i+1], but it might be able to avoid them whenever feasible.