
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 May 2017, a research institution interviewed youths from 20 countries along the "Belt and Road" initiative, asking them to express their impression of China with a keyword. The top 12 keywords in terms of usage frequency were: high-speed rail, mobile payment, online shopping, shared bicycles, the Belt and Road, drones, giant pandas, square dancing, Chinese cuisine, the Great Wall, Peking opera, and beautiful countryside. Among them, the top four keywords "high-speed rail, mobile payment, online shopping, shared bicycles" were also regarded as the "new four great inventions" in their eyes. The number of ways to choose 2 or 3 different keywords from these 12, with at least one keyword being one of the "new four great inventions" is __________ (answer in digits).

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