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Let f(x)=x4+ax3+bx2+cx+df(x)=x^4 + ax^3 + bx^2 + cx + df(x)=x4+ax3+bx2+cx+d . If f(2)=1f(2) = 1f(2)=1, f(3)=2f(3) = 2f(3)=2, f(4)=3f(4) = 3f(4)=3 and f(5)=4f(5) = 4f(5)=4, what is a+b+c+da+b+c+da+b+c+d?
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