35. (5 points)
In the Longevity Village, there is an elderly person who was 101 years old in 2021! If we take the elder's age as the numerator and the year number as the denominator, we can write a fraction, such as in the year 2001 when the elder was 81 years old, the fraction $\frac{81}{2001}$ can be written. From the age of 1 to 100, the elder can write 100 fractions, among which the simplest fractions are $\qquad$ in number.
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