Print the Fibonacci sequence. The first Fibonacci numbers are:
C++
// Simple CPP Program to print Fibonacci // sequence#include <iostream>using std::cout;void fib(int n){ int a = 0, b = 1, c; if (n >= 0) cout << a << " "; if (n >= 1) cout << b << " "; for (int i = 2; i <= n; i++) { c = a + b; cout << c << " "; a = b; b = c; }}// Driver codeint main(){ fib(9); return 0;} |
Java
// Simple Java Program to print// Fibonacci sequenceimport java.io.*;class GFG {static void fib(int n){ int a = 0, b = 1, c; if (n >= 0) System.out.print( a + " "); if (n >= 1) System.out.print( b + " "); for (int i = 2; i <= n; i++) { c = a + b; System.out.print( c + " "); a = b; b = c; }} // Driver code public static void main (String[] args) { fib(9); }}// This code is contributed by anuj_67. |
Python3
# Simple Python3 Program to # print Fibonacci sequencedef fib(n): a = 0 b = 1 if (n >= 0): print(a, end=' ') if (n >= 1): print(b, end=' ') for i in range(2, n+1): c = a + b print(c, end=' ') a = b b = c# Driver codefib(9)# This code is contributed # by Prasad Kshirsagar |
C#
// Simple C# Program to print// Fibonacci sequenceusing System;class GFG {static void fib(int n){ int a = 0, b = 1, c; if (n >= 0) Console.Write( a + " "); if (n >= 1) Console.Write( b + " "); for (int i = 2; i <= n; i++) { c = a + b; Console.Write( c + " "); a = b; b = c; }}// Driver codepublic static void Main () { fib(9);}}// This code is contributed by anuj_67. |
PHP
<?php// Simple php Program to print// Fibonacci sequencefunction fib( $n){ $a = 0; $b = 1; $c; if ($n >= 0) echo $a , " "; if ($n >= 1) echo $b , " "; for ( $i = 2; $i <= $n; $i++) { $c = $a + $b; echo $c , " "; $a = $b; $b = $c; }}// Driver codefib(9);// This code is contributed by anuj_67.?> |
Javascript
<script> // Simple Javascript Program to print Fibonacci sequence function fib(n) { let a = 0, b = 1, c; if (n >= 0) document.write( a + " "); if (n >= 1) document.write( b + " "); for (let i = 2; i <= n; i++) { c = a + b; document.write( c + " "); a = b; b = c; } } fib(9);// This code is contributed by divyeshrabadiya07.</script> |
Output:
0 1 1 2 3 5 8 13 21 34
Time Complexity: O(n)
Auxiliary Space: O(1)
How to print using 2 variables instead of 3 variables?
The algorithm with 2 variables is:
1. print a+b.
2. add a to b.
3. assign b – a to a.
C++
// CPP Program to print Fibonacci sequence// using 2 variables#include <iostream>using std::cout;void fib(int n){ int a = 0, b = 1; if (n >= 0) cout << a << " "; if (n >= 1) cout << b << " "; for (int i = 2; i <= n; i++) { cout << a + b << " "; b = a + b; a = b - a; }}// Driver codeint main(){ fib(9); return 0;} |
Java
// Java Program to print // Fibonacci sequence// using 2 variablesimport java.io.*;class GFG { static void fib(int n){ int a = 0, b = 1; if (n >= 0) System.out.print(a + " "); if (n >= 1) System.out.print(b + " "); for (int i = 2; i <= n; i++) { System.out.print(a + b + " "); b = a + b; a = b - a; }} // Driver code public static void main (String[] args) { fib(9); }}// This code is contributed by anuj_67. |
Python3
# Simple Python3 Program to# print Fibonacci sequence# using 2 variablesdef fib(n): a = 0 b = 1 if (n >= 0): print(a, end=' ') if (n >= 1): print(b, end=' ') for i in range(2, n+1): print(a + b, end=' ') b = a + b a = b - a# Driver codefib(9)# This code is contributed by# Prasad Kshirsagar |
C#
// C# Program to print Fibonacci// sequence using 2 variablesusing System;class GFG { static void fib(int n) { int a = 0, b = 1; if (n >= 0) Console.Write(a + " "); if (n >= 1) Console.Write(b + " "); for (int i = 2; i <= n; i++) { Console.Write(a + b + " "); b = a + b; a = b - a; } } // Driver code public static void Main () { fib(9); }}// This code is contributed by anuj_67. |
PHP
<?php// PHP Program to print Fibonacci sequence// using 2 variablesfunction fib( $n){ $a = 0; $b = 1; if ($n >= 0) echo $a , " "; if ($n >= 1) echo $b , " "; for ($i = 2; $i <= $n; $i++) { echo $a + $b , " "; $b = $a + $b; $a = $b - $a; }} // Driver code fib(9); // This code is contributed by anuj_67?> |
Javascript
<script> // Javascript Program to print Fibonacci sequence using 2 variables function fib(n) { let a = 0, b = 1; if (n >= 0) document.write(a + " "); if (n >= 1) document.write(b + " "); for (let i = 2; i <= n; i++) { document.write(a + b + " "); b = a + b; a = b - a; } } fib(9); // This code is contributed by decode2207.</script> |
Output :
0 1 1 2 3 5 8 13 21 34
Time Complexity: O(n)
Auxiliary Space: O(1)
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