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Floor Function Query (Posted on 2016-01-25) Difficulty: 3 of 5
F(x) is a real valued function such that:
F(x) = floor(x) +floor(10x)+floor(100x)+floor(1000x)
Determine all possible values of a positive integer N < 2016 such that:
F(x) = N has no solution for x, but:
Each of the equations: F(y) = N+11 and F(z) = N+111 has at least one solution in y and z.

See The Solution Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

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  Subject Author Date
Solutioncomputer solutionCharlie2016-01-25 11:16:57
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