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August, 2009
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Code Monkey Have Fun
Project Euler Problem #1
Posted
over 5 years ago
by
Ashley Nathan Feniello
0
Comments
Project Euler is pretty darn cool. It’s a bunch of mathematical problems that require programming to solve. I’m having fun doing them in F#. They start very simple but quickly become more difficult. Problem 1 is to find the sum of all the multiples...
Code Monkey Have Fun
Project Euler Problem #2
Posted
over 5 years ago
by
Ashley Nathan Feniello
0
Comments
Sum of even terms in Fibonacci sequence which are < fourmillion : (1, 1) > Seq.unfold ( fun (a, b) > Some(a, (b, a + b))) // fibs > Seq.takeWhile ( fun x > x <= 4000000) > Seq.filter ( fun x > x % 2 = 0) ...
Code Monkey Have Fun
Project Euler Problem #3
Posted
over 5 years ago
by
Ashley Nathan Feniello
0
Comments
Largest prime factor of 600851475143 : let primeFactors n = let isFactor n d = n % d = 0L let nextFactor n d = seq {d..n} > Seq.find (isFactor n) (n, 2L, []) > Seq.unfold ( fun (n, d, a) > if isFactor n d then Some(d, ((n...
Code Monkey Have Fun
Project Euler Problem #4
Posted
over 5 years ago
by
Ashley Nathan Feniello
0
Comments
Largest palindrome from product of two 3digit numbers : let isPalendrome n = let s = n.ToString() > List.of_seq s = List.rev s seq { for a in 100..999 do for b in a..999 > a * b } > Seq.filter isPalendrome > Seq.max
Code Monkey Have Fun
Project Euler Problem #5
Posted
over 5 years ago
by
Ashley Nathan Feniello
0
Comments
Smallest number divisible by each of 1 to 20 : First cut (takes almost an hour to execute!): let isFactor n d = n % d = 0 {1..Int32.MaxValue} > Seq.find ( fun n > [1..20] > List.forall (isFactor n)) Second cut (takes a...
Code Monkey Have Fun
Project Euler Problem #6
Posted
over 5 years ago
by
Ashley Nathan Feniello
0
Comments
Difference between sum of the squares and the square of the sum of 1  100 : ( fun ns > let sqr x = x * x (sqr (List.sum ns))  (List.map sqr ns > List.sum) ) [1..100]
Code Monkey Have Fun
Project Euler Problem #7
Posted
over 5 years ago
by
Ashley Nathan Feniello
0
Comments
Find the 10001st prime let naturals = Seq.unfold ( fun i > Some(i, i + 1 )) let primes = naturals 2 > Seq.filter ( fun n > seq { 2.. int (sqrt (float n)) } > Seq.forall ( fun x > n % x <> 0 )) Seq.nth 10000 primes
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