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Update Euler Problem 2 to ES6 standards (#468)

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* update Problem 2 to ES6 standards Fixes: #{14}

* add link to problem
This commit is contained in:
Victoria
2020-10-16 03:36:54 -07:00
committed by GitHub
parent 90891b5657
commit be95cc42fb
1 changed files with 5 additions and 8 deletions
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13
Project-Euler/Problem2.js
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@ -1,16 +1,13 @@
const SQ5 = 5 ** 0.5
// Square root of 5
const PHI = (1 + SQ5) / 2
// definition of PHI
// https://projecteuler.net/problem=2
const SQ5 = 5 ** 0.5 // Square root of 5
const PHI = (1 + SQ5) / 2 // definition of PHI
// theoretically it should take O(1) constant amount of time as long
// arithmetic calculations are considered to be in constant amount of time
function EvenFibonacci (limit) {
const EvenFibonacci = (limit) => {
const highestIndex = Math.floor(Math.log(limit * SQ5) / Math.log(PHI))
const n = Math.floor(highestIndex / 3)
return ((PHI ** (3 * n + 3) - 1) / (PHI ** 3 - 1) -
((1 - PHI) ** (3 * n + 3) - 1) / ((1 - PHI) ** 3 - 1)) / SQ5
}
console.log(EvenFibonacci(4e6))
// Sum of Even Fibonnaci upto 4 Million
console.log(EvenFibonacci(4e6)) // Sum of even Fibonacci upto 4 Million