Math problem: the idea of combining numbers and shapes

The area of the nth square is represented by Sn, and sn = n 2.

Then the area of the first shadow from the outside to the inside is: s2011-s2010.

The area counted from the outside to the inside of the second shaded part is:

2009-2008

The area counted from the outside to the inside of the third shaded part is:

2007-2006

. . . . . . . . . .

The area of the penultimate shadow from the outside to the inside is:

S3-S2

The area of the last shaded part calculated from the outside to the inside is:

S 1

The area of the shadow is (S 2011-S 2010)+(S 2009-S 2008)+(S 2007-S 2006)+...+(S3-S2)+S 65438+.

=20 1 1+20 10+2009+2008+2007+2006+.......+3+2+ 1

=2023066