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Project Euler #6 solution code samples using Swift, Ruby, and JavaScript. Find full article here: http://mohamad.im
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// | |
// Using MapReduce | |
// | |
function arrayOfNumbers(n, square) { | |
return Array.apply(null, Array(n)).map(function (e, i) { | |
i += 1; | |
return i * (square ? i : 1); | |
}); | |
} | |
function difference(n) { | |
var sumOfSquares = arrayOfNumbers(n, true).reduce(function (a, b) { | |
return a + b; | |
}); | |
var squareOfSum = arrayOfNumbers(n).reduce(function (a, b) { | |
return a + b; | |
}); | |
squareOfSum *= squareOfSum; | |
return squareOfSum - sumOfSquares; | |
} | |
var start = performance.now(); | |
console.log(difference(125000)); | |
var finish = performance.now(); | |
console.log("MapReduce 125,000 finished in " + (finish - start) / 1000) | |
// | |
// Using while Loop | |
// | |
function diff(n) { | |
var sumOfSquares = squareOfSum = 0; | |
while(n) { | |
sumOfSquares += n * n, squareOfSum += n, n--; | |
} | |
squareOfSum *= squareOfSum; | |
return squareOfSum - sumOfSquares; | |
} | |
var start = performance.now(); | |
console.log(diff(1000000000)); | |
var finish = performance.now(); | |
console.log("Loop 1,000,000,000 finished in " + (finish - start) / 1000) |
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require 'benchmark' | |
def map_reduce(n) | |
(1..n).reduce(:+)**2 - (1..n).map { |n| n**2 }.reduce(:+) | |
end | |
def enum(n) | |
sumOfSquares = squareOfSum = 0 | |
n.downto 1 do |i| | |
squareOfSum += i; sumOfSquares += i * i | |
end | |
(squareOfSum *= squareOfSum) - sumOfSquares | |
end | |
def while_loop(n) | |
sumOfSquares = squareOfSum = 0 | |
while n > 0 | |
squareOfSum += n; sumOfSquares += n * n; n -= 1 | |
end | |
(squareOfSum *= squareOfSum) - sumOfSquares | |
end | |
def induction(n) | |
(n * (n + 1) / 2)**2 - (n * (n + 1)) * ((n * 2) + 1) / 6 | |
end | |
iterations = 10_000_000 | |
puts "Benchmarking with #{iterations} iterations" | |
Benchmark.bm do |bm| | |
bm.report "MapReduce" do | |
map_reduce(iterations) | |
end | |
bm.report "Enum " do | |
enum(iterations) | |
end | |
bm.report "Loop " do | |
while_loop(iterations) | |
end | |
bm.report "Induction" do | |
induction(1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) | |
end | |
end | |
# Benchmarking with 10000000 iterations | |
# user system total real | |
# MapReduce 2.890000 0.030000 2.920000 ( 2.928501) | |
# Enum 1.610000 0.010000 1.620000 ( 1.611081) | |
# Loop 1.200000 0.000000 1.200000 ( 1.201676) | |
# Induction 0.000000 0.000000 0.000000 ( 0.000010) |
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// | |
// Functional approach | |
// | |
func diff(n: Int) -> Int { | |
let array = [Int](1...n) | |
let sumOfSquares = array.map({ $0 * $0 }).reduce(0, +) | |
let sum = array.reduce(0, +) | |
let squareOfSum = sum * sum | |
return squareOfSum - sumOfSquares | |
} | |
// | |
// Using a loop | |
// | |
func loopDiff(var i: Int) -> Int { | |
var sumOfSquares = 0; var squareOfSum = 0 | |
while i > 0 { | |
sumOfSquares += i * i; squareOfSum += i; i-- | |
} | |
squareOfSum *= squareOfSum | |
return squareOfSum - sumOfSquares | |
} | |
let startTime = CFAbsoluteTimeGetCurrent() | |
let result = loopDiff(10000) | |
let timeElapsed = CFAbsoluteTimeGetCurrent() - startTime | |
println("Time elapsed : \(timeElapsed) s") | |
println(result) |
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