(1-2)*(2-3)*(3-4).*(2001-2002)*(2002-2003)
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(1-2)*(2-3)*(3-4).*(2001-2002)*(2002-2003)
(1-2)*(2-3)*(3-4).*(2001-2002)*(2002-2003)
(1-2)*(2-3)*(3-4).*(2001-2002)*(2002-2003)
(1-2)*(2-3)*(3-4).*(2001-2002)*(2002-2003)
=(-1)^2002
=1
1