Q: What is the role of algorithm in problem solving?

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By preparing test cases we can test an algorithm. The algorithm is tested with each test case.

Its a algorithm. DPLL/Davis-Putnam-Logemann-Loveland algorithm is a complete, backtracking-based algorithm for deciding the satisfiability of propositional logic formulae in conjunctive normal form, i.e. for solving the CNF-SAT problem.

No. An algorithm is a procedure or formula for solving a problem: a finite series of computation steps to produce a result. Some algorithms require one or more loops, but it is not true that every algorithm requires a loop.

They both are same. Both of them mean a set of instructions. but, an algorithm is a simple flow of instructions whereas in a flowchart the instructions are represented pictorially, and as the name suggest it is a 'flow chart'.

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Yes.

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A set of steps for solving a particular problem

Algorithm

An algorithm is a method of solving a problem. A flow chart is a tool for visualizing algorithms.

What is the role of dams in solving the concurrent water shortage problem?"

The definition of the word algorithm is a set of rules for solving a problem in a finite number of steps, as for finding the greatest common divisor.

By preparing test cases we can test an algorithm. The algorithm is tested with each test case.

An algorithm is a rule or procedure for solving a particular problem. We are not told what is the problem involving these 2 fractions which is to be solved.

Algorithm

algorithm is a finite sequence of instructions, an explicit, step-by-step procedure for solving a problem, often used for calculation and data processing.

Its a algorithm. DPLL/Davis-Putnam-Logemann-Loveland algorithm is a complete, backtracking-based algorithm for deciding the satisfiability of propositional logic formulae in conjunctive normal form, i.e. for solving the CNF-SAT problem.