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Equation has solutions for

$$\begin{eqnarray*}((I_1^1, I_2^1), (I_1^2, I_2^2)) & = & ((0,0), (0,1)), \\ & =... ...0), (3,1)), \\ & = & ((3,1), (3,2)), \\ & = & ((3,2), (3,3)) \end{eqnarray*}$$

The distance vector is

(I₁²-I₁¹, I₂²-I₂¹) = (0,1)

This corresponds to a dependence direction vector (.,<): there is also a loop-carried data dependence in the inner loop.

((Note that it is possible for a dependence to exist without having a consistent dependence distance)).