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| 1 | +function fibonacci(n) { |
| 2 | + if (n < 1) return 0; // {1} |
| 3 | + if (n <= 2) return 1; // {2} |
| 4 | + return fibonacci(n - 1) + fibonacci(n - 2); // {3} |
| 5 | +} |
| 6 | + |
| 7 | +console.log('fibonacci(2)', fibonacci(2)); |
| 8 | +console.log('fibonacci(3)', fibonacci(3)); |
| 9 | +console.log('fibonacci(4)', fibonacci(4)); |
| 10 | +console.log('fibonacci(5)', fibonacci(5)); |
| 11 | + |
| 12 | +function fibonacciIterative(n) { |
| 13 | + let fibNMinus2 = 0; |
| 14 | + let fibNMinus1 = 1; |
| 15 | + let fibN = n; |
| 16 | + for (let i = 2; i <= n; i++) { // n >= 2 |
| 17 | + fibN = fibNMinus1 + fibNMinus2; // f(n-1) + f(n-2) |
| 18 | + fibNMinus2 = fibNMinus1; |
| 19 | + fibNMinus1 = fibN; |
| 20 | + } |
| 21 | + return fibN; |
| 22 | +} |
| 23 | + |
| 24 | +console.log('fibonacciIterative(2)', fibonacciIterative(2)); |
| 25 | +console.log('fibonacciIterative(3)', fibonacciIterative(3)); |
| 26 | +console.log('fibonacciIterative(4)', fibonacciIterative(4)); |
| 27 | +console.log('fibonacciIterative(5)', fibonacciIterative(5)); |
| 28 | + |
| 29 | +function fibonacciMemoization(n) { |
| 30 | + const memo = [0, 1]; |
| 31 | + const fibonacci = (n) => { |
| 32 | + if (memo[n] != null) return memo[n]; |
| 33 | + return memo[n] = fibonacci(n - 1, memo) + fibonacci(n - 2, memo); |
| 34 | + }; |
| 35 | + return fibonacci(n); |
| 36 | +} |
| 37 | + |
| 38 | +console.log('fibonacciMemoization(2)', fibonacciMemoization(2)); |
| 39 | +console.log('fibonacciMemoization(3)', fibonacciMemoization(3)); |
| 40 | +console.log('fibonacciMemoization(4)', fibonacciMemoization(4)); |
| 41 | +console.log('fibonacciMemoization(5)', fibonacciMemoization(5)); |
| 42 | + |
| 43 | +// https://jsperf.com/fibonacci-comparison-jsbook |
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