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In mathematics, Pascal's triangle is a triangular array of the binomial coefficients.It is called YangHui triangular in china.

The entries of Pascal's triangle in each row are numbered from the left beginning with k = 0 and are usually staggered relative to the numbers in the adjacent rows.

When n = 7, the Pascal's triangle is:

                   1                    
                 1    1                 
              1    2    1               
            1    3    3    1            
         1    4    6    4    1          
      1    5    10    10    5    1      
   1    6    15    20    15    6    1   
1    7    21    35    35    21    7    1