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problem8.m
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58 lines (55 loc) · 2.6 KB
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%%
% The four adjacent digits in the 1000-digit number that have the greatest product are 9 × 9 × 8 × 9 = 5832.
%
% 73167176531330624919225119674426574742355349194934
% 96983520312774506326239578318016984801869478851843
% 85861560789112949495459501737958331952853208805511
% 12540698747158523863050715693290963295227443043557
% 66896648950445244523161731856403098711121722383113
% 62229893423380308135336276614282806444486645238749
% 30358907296290491560440772390713810515859307960866
% 70172427121883998797908792274921901699720888093776
% 65727333001053367881220235421809751254540594752243
% 52584907711670556013604839586446706324415722155397
% 53697817977846174064955149290862569321978468622482
% 83972241375657056057490261407972968652414535100474
% 82166370484403199890008895243450658541227588666881
% 16427171479924442928230863465674813919123162824586
% 17866458359124566529476545682848912883142607690042
% 24219022671055626321111109370544217506941658960408
% 07198403850962455444362981230987879927244284909188
% 84580156166097919133875499200524063689912560717606
% 05886116467109405077541002256983155200055935729725
% 71636269561882670428252483600823257530420752963450
%
% Find the thirteen adjacent digits in the 1000-digit number that have the greatest product. What is the value of this product?
%%
num = ['73167176531330624919225119674426574742355349194934'...
'96983520312774506326239578318016984801869478851843'...
'85861560789112949495459501737958331952853208805511'...
'12540698747158523863050715693290963295227443043557'...
'66896648950445244523161731856403098711121722383113'...
'62229893423380308135336276614282806444486645238749'...
'30358907296290491560440772390713810515859307960866'...
'70172427121883998797908792274921901699720888093776'...
'65727333001053367881220235421809751254540594752243'...
'52584907711670556013604839586446706324415722155397'...
'53697817977846174064955149290862569321978468622482'...
'83972241375657056057490261407972968652414535100474'...
'82166370484403199890008895243450658541227588666881'...
'16427171479924442928230863465674813919123162824586'...
'17866458359124566529476545682848912883142607690042'...
'24219022671055626321111109370544217506941658960408'...
'07198403850962455444362981230987879927244284909188'...
'84580156166097919133875499200524063689912560717606'...
'05886116467109405077541002256983155200055935729725'...
'71636269561882670428252483600823257530420752963450'];
% for every possible string, calculate the product and store it
for ii=1:length(num)-13
value(ii) = 1;
for k=ii:ii+12
value(ii) = value(ii)*str2double(num(k));
end
end
result = max(value)
% result = 23514624000