function [] = exercise_1_2_3()
% 
% Written by:
% -- 
% John L. Weatherwax                2007-07-11
% 
% email: wax@alum.mit.edu
% 
% Please send comments and especially bug reports to the
% above email address.
% 
%-----

close all; 

% the range of n:
%
n=8:16; 

% the first algorithm's running time: 
%
fa = 100*(n.^2); 

% the second algorithms running time: 
%
sa = 2.^n; 

figure; 
hfa = plot( n, fa, '-rx' ); hold on; 
hsa = plot( n, sa, '-bo' ); grid on; 
legend( [ hfa hsa ], 'quadratic algorithm', 'exponential algorithm' ); 
xlabel( 'n (steps)' ); ylabel( 'running time' ); 

%
n=14:15;
100*(n.^2) - 2.^n