Fix error in calculation
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@ -1,4 +1,4 @@
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#=
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#=
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Created on 28 Jul 2021
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@author: David Doblas Jiménez
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@ -9,38 +9,7 @@ https://projecteuler.net/problem=17 =#
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using BenchmarkTools
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function num2letters(num, dic)
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if num <= 20
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return length(dic[num])
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elseif num < 100
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tens, units = divrem(num, 10)
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return length(dic[tens * 10]) + num2letters(units, dic)
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elseif num < 1000
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hundreds, rest = divrem(num, 100)
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if rest != 0
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return num2letters(hundreds, dic) + length(dic[100])
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+ length("and") + num2letters(rest, dic)
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else
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return num2letters(hundreds, dic) + length(dic[100])
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end
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else
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thousands, rest = divrem(num, 1000)
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return num2letters(thousands, dic) + length(dic[1000])
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end
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end
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function Problem17()
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#=
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If the numbers 1 to 5 are written out in words: one, two, three, four,
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five, then there are 3 + 3 + 5 + 4 + 4 = 19 letters used in total.
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If all the numbers from 1 to 1000 (one thousand) inclusive were written
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out in words, how many letters would be used?
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NOTE: Do not count spaces or hyphens. For example, 342 (three hundred and
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forty-two) contains 23 letters and 115 (one hundred and fifteen) contains
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20 letters. The use of "and" when writing out numbers is in compliance
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with British usage. =#
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function num2letters(num)
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nums = Dict(
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0 => "", 1 => "one", 2 => "two", 3 => "three", 4 => "four", 5 => "five",
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6 => "six", 7 => "seven", 8 => "eight", 9 => "nine", 10 => "ten",
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@ -51,10 +20,43 @@ function Problem17()
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90 => "ninety", 100 => "hundred", 1000 => "thousand"
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)
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if num <= 20
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return length(nums[num])
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elseif num < 100
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tens, units = divrem(num, 10)
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return (length(nums[Int(tens) * 10]) + num2letters(units))
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elseif num < 1000
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hundreds, rest = divrem(num, 100)
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if rest != 0
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return (num2letters(hundreds) + length(nums[100])
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+ length("and") + num2letters(rest))
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else
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return (num2letters(hundreds) + length(nums[100]))
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end
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else
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thousands, rest = divrem(num, 1000)
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return (num2letters(thousands) + length(nums[1000]))
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end
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end
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function Problem17()
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#=
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If the numbers 1 to 5 are written out in words: one, two, three, four,
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five, then there are 3 + 3 + 5 + 4 + 4 = 19 letters used in total.
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If all the numbers from 1 to 1000 (one thousand) inclusive were written
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out in words, how many letters would be used?
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NOTE: Do not count spaces or hyphens. For example, 342 (three hundred and
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forty-two) contains 23 letters and 115 (one hundred and fifteen) contains
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20 letters. The use of "and" when writing out numbers is in compliance
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with British usage. =#
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n = 1000
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letters = 0
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for num in 1:n
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letters += num2letters(num, nums)
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letters += num2letters(num)
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end
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return letters
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end
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