def reciprocal_rank_fusion(
    ranked_lists,
    k=60,
):
    fused_scores = {}

    for ranked_list in ranked_lists:
        for rank, document_id in enumerate(
            ranked_list,
            start=1,
        ):
            fused_scores[document_id] = (
                fused_scores.get(document_id, 0)
                + 1 / (k + rank)
            )

    return sorted(
        fused_scores.items(),
        key=lambda item: item[1],
        reverse=True,
    )

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