Mr. Study devises the following algorithm to solve the spectrum convolution problem. Is the algorithm correct? What is the run time of the algorithm? Can you revise the algorithm to make its run time only dependent on the size of spectrum and independent on MaxMass?

Input: A collection of integers Spectrum NovelSpectrumConvolution(Spectrum) MaxMass maximum integer in Spectrum! Initialize an array Count of size MaxMass with all values = 0 Sort Spectrum in increasing order for each MI in Spectrum for each M2 > M1 in Spectrum Diff M2-M1 Count Diff] F Count[Diff]+ 1 Convolution Spectrum* empty set for i 0 add (i, Count[i] into ConvolutionSpectrum /l(mass, multiplicity) Sort ConvolutionSpectrum in decreasing order of the multiplicity Output ConvolutionSpectrum Input: A collection of integers Spectrum NovelSpectrumConvolution(Spectrum) MaxMass maximum integer in Spectrum! Initialize an array Count of size MaxMass with all values = 0 Sort Spectrum in increasing order for each MI in Spectrum for each M2 > M1 in Spectrum Diff M2-M1 Count Diff] F Count[Diff]+ 1 Convolution Spectrum* empty set for i 0 add (i, Count[i] into ConvolutionSpectrum /l(mass, multiplicity) Sort ConvolutionSpectrum in decreasing order of the multiplicity Output ConvolutionSpectrum