
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
Consider a modified triangle construction where in addition to rods and connectors, support sticks are added from the third row onwards to stabilize the structure. The rod count starts with 4 in the first row and increases by 5 in each subsequent row. The connectors follow the original pattern from the original problem, while support sticks start being used from the third row, beginning with 2 and increasing by 2 for each additional row. Calculate the total number of pieces for a ten-row triangle.

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