I’m just curious if I can have any other data type to give the priority? Like strings, floats, etc?
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In the abstract, any type with a reasonable Strict Weak Ordering can be used as the priority in a priority queue. The language you are using will determine how to define this ordering: in C++, operator< is used in standard containers, in Java, the interface Comparable and function compareTo are typically used. Custom comparison functions are also often supported, which can compare elements in a manner different than the default.