# Picture this

Algebra Level 4

The fastest supercomputer Sunway TaihuLight is commissioned to generate all $$4 \times 4$$ pixel, 8 bit grayscale images.

The supercomputer can generate $$10^{15}$$ images per second. Assume that one day has exactly 86400 seconds, and a year has $$365.25$$ days (on average). Now for each century (hundred years) that passes without the task getting complete, a single grain of rice (weighing $$\dfrac1{64}$$ grams) is added to a pile of rice grains.

When the task is complete, the heap weigh $$T$$ kilograms.

Find the value of $$\lfloor T \rfloor$$?

 Notation: $$\lfloor \cdot \rfloor$$ denotes the floor function.

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