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The given expression is | 1| + | 2| + | 3|+..+| 2019| + | 2020|. Determine the greatest interval of real numbers a,

The given expression is | 1| + | 2| + | 3|+..+| 2019| + | 2020|. Determine the greatest interval of real numbers a, b] on which the given expression has a constant value k for all x E a, b. What is the value of k?

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