Q1) Write code in python that performs 1D convolution with inputs: A) Random input of length 100K or more (let it be huge, for eg 120K)B) Random filters of length 3 to 25 or more (any random, eg 5)need to write two implementations of 1D convolution (one using for loops and other using matrix multiplication) in python as follows:1) A naive for-loop implementation of filter applied on input2) Matrix multiplication implementations(i) where the input is the column vector, (ii) where the filter is the column vectorCompare run times for filters of all sizes. Use tictoc. Time includes the time needed to setup matrices. And any reshape/fold operations required. If you are using numpy for anything besides matrix multiplication, you may want to do that in python without numpy and see how results change (this part is bonus).
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