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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def blt(f: List[SYM], x: List[SYM]) -> Dict[str, Any]: """ Sort equations by dependence """

    J = ca.jacobian(f, x)
    nblock, rowperm, colperm, rowblock, colblock, coarserow, coarsecol = J.sparsity().btf()
    return {
        'J': J,
        'nblock': nblock,
        'rowperm': rowperm,
        'colperm': colperm,
        'rowblock': rowblock,
        'colblock': colblock,
        'coarserow': coarserow,
        'coarsecol': coarsecol
    }