# How do I input this into my calculator?

$\begin{eqnarray} &&(1 \times 2 \times 3) + (1 \times 2 \times 4) + \ldots + (1 \times 2 \times 100) \\ &+& (1 \times 3 \times 4) + (1 \times 3 \times 5) + \ldots + (1 \times 3 \times 100) \\ &+& (1 \times 4 \times 5) + (1 \times 4 \times 6) + \ldots + (1 \times 4 \times 100) \\ &+& \ldots \\ &+& (98 \times 99 \times 100) \end{eqnarray}$

Let $$S$$ denote the value of the sum above. What is the last two digits of $$S$$?

###### Image credit: Wikipedia EncMstr
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