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authorCharles Cabergs <me@cacharle.xyz>2021-06-19 12:17:16 +0200
committerCharles Cabergs <me@cacharle.xyz>2021-06-19 12:17:16 +0200
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parent51464d5a71c4550683940db2753c50db0569bc17 (diff)
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problem 8 9 10 in julia
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+###
+# Largest product in a series
+# Problem 8
+#
+# 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?
+###
+
+
+const NUMBER_STRING = join(split("
+ 73167176531330624919225119674426574742355349194934
+ 96983520312774506326239578318016984801869478851843
+ 85861560789112949495459501737958331952853208805511
+ 12540698747158523863050715693290963295227443043557
+ 66896648950445244523161731856403098711121722383113
+ 62229893423380308135336276614282806444486645238749
+ 30358907296290491560440772390713810515859307960866
+ 70172427121883998797908792274921901699720888093776
+ 65727333001053367881220235421809751254540594752243
+ 52584907711670556013604839586446706324415722155397
+ 53697817977846174064955149290862569321978468622482
+ 83972241375657056057490261407972968652414535100474
+ 82166370484403199890008895243450658541227588666881
+ 16427171479924442928230863465674813919123162824586
+ 17866458359124566529476545682848912883142607690042
+ 24219022671055626321111109370544217506941658960408
+ 07198403850962455444362981230987879927244284909188
+ 84580156166097919133875499200524063689912560717606
+ 05886116467109405077541002256983155200055935729725
+ 71636269561882670428252483600823257530420752963450
+"))
+
+const CHUNK_SIZE = 13
+
+const NUMBERS = [parse(Int, c) for c in NUMBER_STRING]
+const NUMBER_CHUNKS = zip([NUMBERS[start:end] for start in 1:CHUNK_SIZE]...)
+const RESULT = maximum(cumprod(chunk)[end] for chunk in NUMBER_CHUNKS)
+
+println(RESULT)