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P18.m
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%%Project Euler - Problem 1%%
clc;
clear all;
close all;
%%INPUT ARRAY FROM FILE
type P18.txt
fileID = fopen('P18.txt','r');
formatSpec = '%d ';
sizeA = [15 15];
A = fscanf(fileID,formatSpec,sizeA);
PATH=zeros(15,15);
fclose(fileID);
A=A'
PATH(1,1)=A(1,1);
for j=2:15 %%Build path limits
for i=1:j
if i==1
i
j
A(j-1,i)
A(j,i)
PATH(j,i)=A(j,i)+PATH(j-1,i);
end
if i==j
i
j
A(j-1,i-1)
A(j,i)
PATH(j,i)=A(j,i)+PATH(j-1,i-1)
break
end
end
end
%% Populate longest path for each blank node
MAXPREV=0;
for j=3:15
for i=2:j-1
if PATH(j-1,i-1)>PATH(j-1,i)
PATH(j,i)=PATH(j-1,i-1)+A(j,i)
else
PATH(j,i)=PATH(j-1,i)+A(j,i)
end
end
end
max(PATH,[],2)