A sample of 121 integers is given, each between 1 and 1000 inclusive, with repetitions allowed. The sample has a unique mode (most frequent value). Let D be the difference between the mode and the arithmetic mean of the sample. What is the largest possible value of ⌊D⌋? (For real x, ⌊x⌋ is the greatest integer less than or equal to x.) floor functionabsolute value