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(1−14)(1−19)(1−116)⋯(1−110000) \left( 1 - \frac14\right)\left( 1 - \frac19\right)\left( 1 - \frac1{16}\right)\cdots \left( 1 - \frac1{10000}\right) (1−41)(1−91)(1−161)⋯(1−100001)
The expression above can be expressed as ab \dfrac abba for coprime positive integers aaa and bbb, find the value of a+ba+ba+b.
Bonus: Generalize this.
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