Let \(N\) be the smallest positive integer for which the digit sum of \(N\) and the digit sum of \(N+1\) are both divisible by \(50\). How many digits of \(N\) are 9?

**Details and assumptions**

The **digit sum** of a number is the sum of all its digits. For example the digit sum of 1123 is \(1 + 1 + 2 + 3 = 7\).

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