The code above fits a polynomial curve to the data points using the brute force, backtrack, and branch and bound algorithms. It uses the np.polyfit function to find the polynomial coefficients that best fit the data. Then, it generates a smooth curve by evaluating the fitted polynomial at 100 evenly spaced points between the minimum and maximum values of N. The resulting smooth curves represent the estimated times for each algorithm as a function of N.

# Fit a polynomial curve to the data pointscurve_brute_force = nppolyfitN times_brute_force 3curve_backtrack = nppolyfitN times_backtrack 3curve_branch_bound = nppolyfitN times_branch_bound 3# Generat

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