Laddered Pi with Simple Addition

Algebra Level pending

It is known that \(\pi = 3.14159...\). Find \[ \underbrace { (\left\lfloor \pi \right\rfloor +\left\lceil \pi \right\rceil )\quad +\quad (\left\lfloor \pi \right\rfloor +\left\lceil \pi \right\rceil )\quad +\quad ... }_{ \left\lfloor \pi \right\rfloor } \] \[+\] \[\underbrace { (\left\lceil \pi \right\rceil +\left\lfloor \pi \right\rfloor )\quad +\quad (\left\lceil \pi \right\rceil +\left\lfloor \pi \right\rfloor )\quad +\quad ... }_{ \left\lceil \pi \right\rceil } \]

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