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.
Sums with Excluded Digits
Remove the polynomials that have positive real elements of their roots.
Back to basics 16 - byte order
Generate pi using logarithm
Solving Quadratic Equations (Version 1)
Least common multiple of many numbers
Distance walked 1D
Basic electricity in a dry situation
Check if sorted
Have you seen any Spindromes recently?
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