原式=2004+[(2003-2002)-(2001-2000)+(1999-1998)-(1997-1996)+……-(9-8)+(7-6)-(5-4)+(3-2)]-1
=2004+[1-1+1-1+……-1+1-1+1]-1 (中括号内共有501个+1和500个-1,抵消后等于1)
=2004+[1]-1
=2004
原式=2004+[(2003-2002)-(2001-2000)+(1999-1998)-(1997-1996)+……-(9-8)+(7-6)-(5-4)+(3-2)]-1
=2004+[1-1+1-1+……-1+1-1+1]-1 (中括号内共有501个+1和500个-1,抵消后等于1)
=2004+[1]-1
=2004