**Generalizing To Non-numeric Problems**

Although the notion of pseudo-polynomial time is used almost exclusively for numeric problems, the concept can be generalized: The function *m* is pseudo-polynomial if *m*(*n*) is no greater than a polynomial function of the problem size *n* and an additional property of the input, *k*(*n*). (Presumably, *k* is chosen to be something relevant to the problem.) This makes numeric problems a special case by taking *k* to be the number of (binary) digits of the input.

The distinction between the value of a number and its length is one of encoding: if numeric inputs are always encoded in unary, then *pseudo-polynomial* would coincide with *polynomial*.

Read more about this topic: Pseudo-polynomial Time

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