![]() ![]() Test your skills now! Where to Go From Here?Ĭoders get paid six figures and more because they can solve problems more effectively using machine intelligence and automation. A Simple Python Puzzle About the Fibonacci SeriesĬan you solve the following puzzle about the Fibonacci algorithm? This is true by definition of the Fibonacci series. The print statement only compares whether the last element is equal to the sum of the second and third last element in the sequence. But to understand the code, you do not have to calculate the whole sequence. The code calculates the Fibonacci sequence up to 100 and stores the whole list in the variable fib100. ![]() We maintain the whole sequence in the list variable result by appending the sequence value a to the end of the list. The fibo function in the code calculates all Fibonacci numbers up to the function argument n.Īgain, we use the concise method of multiple assignment to store the value of b in the variable a and to calculate the new value of b as the sum of both. Here’s an algorithm that stores the first n Fibonacci numbers in a list and returns the list: def fibo(n): Recap, the Fibonacci series is the series of numbers that arises when repeatedly summing up the last two numbers starting from 0 and 1. How to Store First n Fibonacci Numbers in a List? Without this property, the last line would be wrong as expression a+b would consider the wrong value for a. This is an important property for our algorithm. Note that all expressions on the right-hand side are first evaluated before they are assigned. Otherwise, the Python interpreter will throw an error. On the right-hand side of the assignment, we specify the values to be assigned to these variables.īoth sequences on the left and on the right must have the same length.On the left-hand side of the assignment, there is any sequence of variables such as a list or a tuple.The output are the first 10 Fibonacci numbers: 1įor clarity of the code, we used the language feature of multiple assignments in the first and the last line. This computation repeats for 10 iterations using a standard for loop: # Algorithm to Computer Thus, we maintain two variables a and b, being the second last and last element in the series, respectively. For this, the algorithm has to keep track only of the last two elements in the series. The algorithm calculates the next element of the series as the sum of both last elements. The series starts with the Fibonacci numbers zero and one. In the following, we give a simple algorithm to calculate the Fibonacci numbers. The series appears in unexpected areas such as economics, mathematics, art, and nature. The Fibonacci series was discovered by the Italian mathematician Leonardo Fibonacci in 1202 and even earlier by Indian mathematicians. ![]()
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