It solves the negative credentials, compared with the time and space complicated degree of the original arithmetic, the algorithm is more simple and shortcut.
它解决了原算法中否定安全凭证的问题，并且通过与原算法时间复杂度与空间复杂度的比较，证明此算法更加简单快捷。
Give a blue print on city public traffic protract and query, which includes city public traffic protract arithmetic, querying shortcut arithmetic and magnifying local public traffic map arithmetic.
给出一个城市电子公交地图绘制和查询系统的解决方案，该方案涵盖了城市公交线路的绘制算法、最短路径查询算法、对局部公交地图的放大算法。
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