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If [x] denotes the integral part of x fo...

If [x] denotes the integral part of x for real x, and `S= [(1)/(4)]+[(1)/(4) +(1)/(200)]+[(1)/(4)+(1)/(100)] + [(1)/(4)+(3)/(200)] .....+ [(1)/(4)+ (199)/(200)]` then S is

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