A countdown number is a positive integer where the sum of each pair of consecutive digits forms part of a countdown. For example: 23120 is a countdown number because
2 , 3 , 1 , 2 , 0 ⟶ 2 + 3 = 5 2 , 3 , 1 , 2 , 0 ⟶ 3 + 1 = 4 2 , 3 , 1 , 2 , 0 ⟶ 1 + 2 = 3 2 , 3 , 1 , 2 , 0 ⟶ 2 + 3 = 2
What is the largest six-digit countdown number?
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998877.