A Little Bite of |

It is well known by all math students that is an irrational number. This means in simple English that its decimal form, which begins 3.141592 , goes on forever without any repeating blocks of digits.To celebrate Pi Day this year - March 14, or 3/14 - we propose the following problem.

Beginning with the "decimal" digits (

i.e.those that come after the initial 3), write the first 100 digits on a chessboard, one digit at a time in the squares, returning to the first square when necessary. See the diagram for how to begin.

Now answer these questions:

- In which square of which row of the chessboard will the 100
^{th}digit be placed?

- What is that digit?

- What is the sum of the digits that are together in that square?

As this year is 2004, repeat items #1 and #2 for the case of the 2004EXTRA:^{th}digit of .

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