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tests: Project Euler Problem 2 (#1200)

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Omkarnath Parida
2022-10-17 01:52:29 +05:30
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parent 4ce3dbe6b4
commit 2a62eabfd7
3 changed files with 19 additions and 2 deletions
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Project-Euler/Problem002.js
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@ -5,8 +5,10 @@ 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
export const EvenFibonacci = (limit) => {
if (limit < 1) throw new Error('Fibonacci sequence limit can\'t be less than 1')
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
return Math.floor(((PHI ** (3 * n + 3) - 1) / (PHI ** 3 - 1) -
((1 - PHI) ** (3 * n + 3) - 1) / ((1 - PHI) ** 3 - 1)) / SQ5)
}