
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
The 2-digit integers from 15 to 78 are written consecutively to form the integer $M=151617\cdots7778$. Suppose that $3^j$ is the highest power of 3 that is a factor of $M$. What is $j$?
A) 0
B) 1
C) 2
D) 3
E) More than 3

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