Posted by **kunaldeep** on Wednesday, July 17, 2013 at 5:04am.

Brilli the ant is considering the complexities of a 5-dimensional universe. She wants to count the number of integer points that are distance n√ away from the origin. Let Tn be the set of ordered 5-tuples of integers (a1,a2,a3,a4,a5) such that a21+a22+a23+a24+a25=n. However, being an ant, she doesn't have enough toes to record numbers that are above 10. Let Dn be the units digit of |Tn|.

Determine ∑5678,i=1, Di.

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