The manual solution for a problem refers to solving it without the use of technology or automated tools. It involves using human reasoning, logic, and problem-solving skills to find the answer or solution.
Yes, a polynomial time verifier can efficiently determine the validity of a given solution in a computational problem.
The answer to a problem or an equation is called a "solution." In mathematics, a solution represents the value or set of values that satisfy the given equation or problem. For example, in the equation (x + 2 = 5), the solution is (x = 3).
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There is no solution.
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there is not manual solution
The program itself is the solution. All programs are a solution to a given problem; that's the entire point of writing a program, to solve a problem. The program's algorithm specifies how the problem is solved and it's the programmer's job to convert that algorithm into working code.
The replacement set is given in the problem and is the domain for the problem (these numbers are used to replace x). The solution set are numbers calculated from the problem and is the range (these are y values that are answers from using the equation).
1. Given 2. Find 3. Equation 4. Solution
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It is a solution.
For every problem there is a solution to the problem, just as you can have a key to a lock.However for a problem you have a special solution for the problem just as you have a key made for a particular lock.