
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
In a rectangular table, the letters of the word "olympiada" are arranged in a specific order.

| O | Л | И | M | П | И | A | Д | A |
| - | - | - | - | - | - | - | - | - |
| Л | И | M | П | И | A | Д | A | O |
| И | M | П | И | A | Д | A | O | Л |
| M | П | И | A | Д | A | O | Л | И |

Starting from the letter "O" located in the top left corner of the table, one must read the word "olympiada", ending with the letter "A". The transition between letters is allowed between adjacent cells in the table. Find the number of different ways to read the word "olympiada" according to the given table.

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