Question

Which class of problem solving is considered the easiest one?

• A. NP
• B. NP-hard
• C. P
• D. Complex

Hint:

The "P vs NP" problem is one of the most famous unsolved questions in math. Most scientists believe $P \neq NP$, meaning solving a problem is much harder than checking an answer.

Answer 1

The Correct Option is C

Concept: Computational complexity classes group problems based on the resources (time/space) required to solve them.
• P (Polynomial): Problems solvable in $O(n^k)$ time.
• NP (Nondeterministic Polynomial): Problems where a solution can be verified in polynomial time.
• NP-hard: Problems at least as hard as the hardest problems in NP.

Step 1: Defining "Easy" in Computer Science.
A problem is considered "tractable" or "easy" if it has an efficient solution. Efficiency is mathematically defined as having a Polynomial time complexity.

Step 2: Comparing the classes.
P problems (like Sorting or Shortest Path) are solved quickly by modern computers. Many NP problems are believed to require exponential time ($2^n$) to solve.

Step 3: Final Ranking.
Since P is the class of problems with guaranteed efficient algorithms. It is categorized as the "easiest" class among those listed.