diff --git a/ProjectEuler/Problem8.m b/ProjectEuler/Problem8.m new file mode 100644 index 0000000..ff907d8 --- /dev/null +++ b/ProjectEuler/Problem8.m @@ -0,0 +1,63 @@ +%ProjectEuler/Problem8.m +%This is a script to answer Problem 8 for Project Euler +%Find the thirteen adjacent digits in the 1000-digit number that have the greatest product. What is the value of this product? +%{ +73167176531330624919225119674426574742355349194934 +96983520312774506326239578318016984801869478851843 +85861560789112949495459501737958331952853208805511 +12540698747158523863050715693290963295227443043557 +66896648950445244523161731856403098711121722383113 +62229893423380308135336276614282806444486645238749 +30358907296290491560440772390713810515859307960866 +70172427121883998797908792274921901699720888093776 +65727333001053367881220235421809751254540594752243 +52584907711670556013604839586446706324415722155397 +53697817977846174064955149290862569321978468622482 +83972241375657056057490261407972968652414535100474 +82166370484403199890008895243450658541227588666881 +16427171479924442928230863465674813919123162824586 +17866458359124566529476545682848912883142607690042 +24219022671055626321111109370544217506941658960408 +07198403850962455444362981230987879927244284909188 +84580156166097919133875499200524063689912560717606 +05886116467109405077541002256983155200055935729725 +71636269561882670428252483600823257530420752963450 +%} + +%Setup your variables +%The string of the number +number = '7316717653133062491922511967442657474235534919493496983520312774506326239578318016984801869478851843858615607891129494954595017379583319528532088055111254069874715852386305071569329096329522744304355766896648950445244523161731856403098711121722383113622298934233803081353362766142828064444866452387493035890729629049156044077239071381051585930796086670172427121883998797908792274921901699720888093776657273330010533678812202354218097512545405947522435258490771167055601360483958644670632441572215539753697817977846174064955149290862569321978468622482839722413756570560574902614079729686524145351004748216637048440319989000889524345065854122758866688116427171479924442928230863465674813919123162824586178664583591245665294765456828489128831426076900422421902267105562632111110937054421750694165896040807198403850962455444362981230987879927244284909188845801561660979191338754992005240636899125607176060588611646710940507754100225698315520005593572972571636269561882670428252483600823257530420752963450'; +counter = 1; %Location of the first digit in the series +productNumbers = ['']; %The numbers in the current product +greatestProduct = []; %The numbers in the greatest product + +%Loop through the string until every element has been tested +while((counter + 12) < size(number)(2)) + innerCounter = 0; + productNumbers = ['']; %Clear the variable + while(innerCounter < 13) + %Octave throws an error if you don't take this round about way of adding the characters to the array + tempChar = ''; %Throw away variable + tempChar = [number(counter + innerCounter), ' ']; %Add the next number to what you already have and add a space at the end + productNumbers = [productNumbers, tempChar]; + ++innerCounter; + end + productNumbers = str2num(productNumbers); %Convert the characters to numbers + %Check whether the current product is greater than the current greatest product + if(prod(productNumbers) > prod(greatestProduct)) + greatestProduct = productNumbers; + end + ++counter; +end + +%Print the result +greatestProduct +prod(greatestProduct) + +%Cleanup your variables +clear number; +clear counter; +clear productNumbers; +clear greatestProduct; +clear tempChar; +clear innerCounter;