the website Techmeme, created by Gabe Rivera, searches for the most popular technology-related news on the Internet and orders them based on an algorithm that determines popularity?

Question 1: In mathematics, ________, and related subjects, an algorithm is an effective method for solving a problem using a finite sequence of instructions.

Question 3: A partial formalization of the concept began with attempts to solve the Entscheidungsproblem (the "decision problem") posed by ________ in 1928.

Question 5: ________ are those that make some choices randomly (or pseudo-randomly); for some problems, it can in fact be proven that the fastest solutions must involve some randomness.

Question 7: In optimization problems, ________ algorithms do not try to find an optimal solution, but an approximate solution where the time or resources are limited.

Question 10: In ________, an algorithm is basically an instance of logic written in software by software developers to be effective for the intended "target" computer(s), in order for the software on the target machines to do something.