128*13 solutions.

understand what I was missing now, I didn't consider all the number are squared. but your answer is not complete either. 

looked at my old post, the following add together can get to 10:

(1,2,3,4), (1,2,7),(1,3,6),(1,4,5),(2,3,5),(3,7),(4,6)

for example, (1,2,3,4). the solution written in your form is(note that 10,20,30,40 are all same signs):

100,110(+10),130(+20),160(+30),200(+40),150(-50),90(-60),20(-70)

or

100, 90(-10),70(-20),40(-30),0(-40),50(+50),110(+60),180(+70).

for example, (3,7). the solution written in your form is(first serie failed since it has negative):

100,90(-10),70(-20),100(+30),60(-40),10(-50),-50(-60),20(+70)

or

100,110(+10),130(+20),100(-30),140(+40),190(+50),250(+60),180(-70)

Since there is one failed on (3,7) because it has negative answer for a square, that is why it has 2*7-1=13 solutions.

so total solutions will be 13*128 =1664 solutions