Amitava, it is fantastic that you are contributing problems, but you really need to spend more time specifying what the solution should do. The person solving is left needing to guess too much.
Definitely Agree with the cyclist. W/o example it is impossible to understand the task to achieve.
The DC component of a signal is usually its mean. Now filter can have many meanings, but in this case, it means to remove the signal variation.
Read a Soroban Abacus
Project Euler: Problem 10, Sum of Primes
Flip the main diagonal of a matrix
Getting the indices from a vector
given 3 sides, find area of this triangle
Have you seen any Spindromes recently?
Given a number N, find the smallest prime P>N
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