An algebra problem by Fatin Farhan

Algebra Level 3

x(x+1)(x+2)(x+3)(x+4)(x+5)(x+6)(x+7)(x+8)x(x+1)(x+2)(x+3)(x+4)(x+5)(x+6)(x+7)(x+8) =ax9+bx8+cx7+dx6+ex5+fx4+gx3+hx2+ix=ax^9+bx^8+cx^7+dx^6+ex^5+fx^4+gx^3+hx^2+ix. What is the last 33 digits of (a+b+c+d+e+f+g+h+i)(a+b+c+d+e+f+g+h+i) ?

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