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  0...................................0                                   |
  1................................1     1                                |
  2.............................1     2     1                             |
  3..........................1     3     3     1                          |
  4.......................1     4     6     4     1                       |
  5....................1     5    10    10     5     1                    |
  6.................1     6    15    20    15     6     1                 |
  7..............1     7    21    35    35     21    7     1              |
  8...........1     8    28    56    70     56    28    8     1           |
  9........1     9    36    84    126   126    84    36    9     1        |
 10.....1    10    45   120   210    252    210   120   45    10    1     |
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