diff --git a/Project-Euler/Problem2.js b/Project-Euler/Problem2.js index ed3c30c7c..275686d87 100644 --- a/Project-Euler/Problem2.js +++ b/Project-Euler/Problem2.js @@ -1,15 +1,17 @@ -const SQ5 = 5 ** .5; // Square root of 5 -const PHI = (1 + SQ5) / 2; // definition of PHI +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. - +// arithmetic calculations are considered to be in constant amount of time function 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; + 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 \ No newline at end of file +// Sum of Even Fibonnaci upto 4 Million