
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
On a grid paper of size $60 \times 70$ cells (horizontal by vertical respectively), Lena drew a coordinate system with the origin at the center of the sheet, the $x$-axis horizontal, and the $y$-axis vertical. The axes were extended to the borders of the sheet. Lena then drew the graph of the equation $y=0.83x$ and shaded all the cells through which the graph passes, i.e., the cells that contain points of the graph. How many cells in total were shaded?

Present the answer in LaTex format: \boxed{Your answer}
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