
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 addition to the Gregorian calendar, China also uses the Sexagenary cycle to denote years in many occasions. The cycle consists of 10 Heavenly Stems: Jia (甲), Yi (乙), Bing (丙), Ding (丁), Wu (戊), Ji (己), Geng (庚), Xin (辛), Ren (壬), Gui (癸), and 12 Earthly Branches: Zi (子), Chou (丑), Yin (寅), Mao (卯), Chen (辰), Si (巳), Wu (午), Wei (未), Shen (申), You (酉), Xu (戌), Hai (亥). The 10 Heavenly Stems and the 12 Earthly Branches are arranged in pairs to form a cycle that repeats continuously: ...Jia, Yi, Bing, Ding, Wu, Ji, Geng, Xin, Ren, Gui, Jia, Yi, Bing, Ding, Wu,... paired with ...Zi, Chou, Yin, Mao, Chen, Si, Wu, Wei, Shen, You, Xu, Hai, Zi, Chou, Yin,... The corresponding pairs in each column form a year in the Sexagenary cycle. For example, the year 1984 is Jia Zi year, 1985 is Yi Chou year, 1986 is Bing Yin year...  
(1) The year 2009 is Ji Chou year, please calculate the year 2008 and the year 2010.  
(2) This year marks the 60th anniversary of our great motherland. Do you know what year 1949 was in the Sexagenary cycle?  
(3) Have you read Su Shi's "Shui Diao Ge Tou - When Will the Moon Be Clear?" "During the Mid-Autumn Festival of the Bing Chen year, we joyfully drank until dawn..." Su Shi was born in 1037 and lived for 64 years, and the year 1976 was a Bing Chen year. Can you calculate which year this poem was written?

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