(1−12)×(1−13)×(1−14)×⋯×(1−1100)=(1-\frac{1}{2})\times(1-\frac{1}{3})\times(1-\frac{1}{4}) \times\dots \times(1-\frac{1}{100})=(1−21)×(1−31)×(1−41)×⋯×(1−1001)=