function fibonacci(n){ if (n < 1) return 0; // {1} if (n <= 2) return 1; // {2} return fibonacci(n - 1) + fibonacci(n - 2); // {3} } console.log('fibonacci(2)', fibonacci(2)); console.log('fibonacci(3)', fibonacci(3)); console.log('fibonacci(4)', fibonacci(4)); console.log('fibonacci(5)', fibonacci(5)); function fibonacciIterative(n){ let fibNMinus2 = 0; let fibNMinus1 = 1; let fibN = n; for (let i = 2; i <= n; i++) { // n >= 2 fibN = fibNMinus1 + fibNMinus2; // f(n-1) + f(n-2) fibNMinus2 = fibNMinus1; fibNMinus1 = fibN; } return fibN; } console.log('fibonacciIterative(2)', fibonacciIterative(2)); console.log('fibonacciIterative(3)', fibonacciIterative(3)); console.log('fibonacciIterative(4)', fibonacciIterative(4)); console.log('fibonacciIterative(5)', fibonacciIterative(5)); function fibonacciMemoization(n) { const memo = [0, 1]; const fibonacci = (n) => { if (memo[n] != null) return memo[n]; return memo[n] = fibonacci(n - 1, memo) + fibonacci(n - 2, memo); }; return fibonacci(n); } console.log('fibonacciMemoization(2)', fibonacciMemoization(2)); console.log('fibonacciMemoization(3)', fibonacciMemoization(3)); console.log('fibonacciMemoization(4)', fibonacciMemoization(4)); console.log('fibonacciMemoization(5)', fibonacciMemoization(5)); // https://jsperf.com/fibonacci-comparison-jsbook