The product of ten positive real numbers Pi where i = 1, 2, 3, …… 10 is 1/100 . What is the minimum value of the expression (p210 + 1) (p29 + p1) (p28+ p2) (p27+ p3) (p26+ p4) (p25 + p5) (p24+ p6) (p23 + p7) (p22 + p8) (p21 + p9) (12+ p10) ?

1) (4/sqrt(5))²
2) (3/2 sqrt(5))²
3) (18/5 sqrt(5))²
4) (16/5 sqrt(5))²