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Python: Recursion - Exercises, Practice, Solution

Recursion [ 11 exercises with solution]

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1. Write a Python program to calculate the sum of a list of numbers. Go to the editor
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2. Write a Python program to converting an Integer to a string in any base. Go to the editor
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3. Write a Python program of recursion list sum. Go to the editor
Test Data: [1, 2, [3,4], [5,6]]
Expected Result: 21
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4. Write a Python program to get the factorial of a non-negative integer. Go to the editor
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5. Write a Python program to solve the Fibonacci sequence using recursion. Go to the editor
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6. Write a Python program to get the sum of a non-negative integer. Go to the editor
Test Data:
sumDigits(345) -> 12
sumDigits(45) -> 9
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7. Write a Python program to calculate the sum of the positive integers of n+(n-2)+(n-4)... (until n-x =< 0). Go to the editor
Test Data:
sum_series(6) -> 12
sum_series(10) -> 30
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8. Write a Python program to calculate the harmonic sum of n-1. Go to the editor
Note: The harmonic sum is the sum of reciprocals of the positive integers.
Example :
harmonic series
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9. Write a Python program to calculate the geometric sum of n-1. Go to the editor
Note: In mathematics, a geometric series is a series with a constant ratio between successive terms.
Example :
harmonic series

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10. Write a Python program to calculate the value of 'a' to the power 'b'. Go to the editor
Test Data :
(power(3,4) -> 81
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11. Write a Python program to find  the greatest common divisor (gcd) of two integers. Go to the editor
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Python: Tips of the Day

Time it:

timeit library is great for timing Python execution times. Just pass a function in string format to timeit.timeit() method and it will carry out 1 million executions to report the minimum time the code takes.

Its very useful to compare small code pieces and different functions but can be sluggish with big code.

Check out the example below demonstrating the execution time difference between 2 very similar list comprehension methods in Python:

import timeit
lst1='''list(range(100))'''
lst2='''[i for i in range(100)]'''
a=timeit.timeit(lst1)
b=timeit.timeit(lst2)
print(a, b, sep="------")

Output:

1.9301698543131351------5.389458132907748