
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
A triangular array of numbers has a first row consisting of odd integers $1, 3, 5, \ldots, 101$ in increasing order. Each row below has one fewer entry than the row above it, and the bottom row has a single entry. Each entry in any subsequent row is the sum of the two entries diagonally above it in the immediately preceding row. How many entries in the array are multiples of $73$?

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