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S=20143−20133+20123−20113+⋯+23−13\large S = 2014^{3}-2013^{3}+2012^{3}-2011^{3}+\cdots+2^{3}-1^{3}S=20143−20133+20123−20113+⋯+23−13
What is the largest perfect square that divides SSS above?
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