The Past, The Present And The Future With Ceilings And Floors

Algebra Level 4

\[\Large \frac { \left\lceil \frac { 2015^{ \frac { 2015 }{ 2016 } } }{ 2016^{ \frac { 2016 }{ 2017 } } } \right\rceil }{ \left\lfloor \frac { { 2016 }^{ \frac { 2017 }{ 2016 } } }{ { 2015 }^{ \frac { 2016 }{ 2015 } } } \right\rfloor } =?\]

Note:\(\left\lceil x \right\rceil \) denotes the ceiling function and \(\left\lfloor x \right\rfloor \) denotes the floor function. The fractions represent powers.

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