Show that there are positive integers a,b,c,d with b,d < 100 such that:
\lfloor \frac{a}{b} k \rfloor = \lfloor \frac{73}{100} k \rfloor
and
\lceil \frac{c}{d} k \rceil = \lceil \frac{73}{100} k \rceil
For all k = 1,2,\dots,99
Note: \lfloor x \rfloor denotes the floor function and \lceil x \rceil denotes the ceiling function
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