Javascript Classwork 8-Recursion Solved

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Recursion

 

  1. Write a recursive function to determine whether all digits of the number are odd or not.

 

Input   Output
4211133 false  
7791 true  
5 true  

 

 

  1. Given an array of numbers. Write a recursive function to find its minimal positive element. (if such element does not exist, return -1)․

 

Input     Output
[56, -9, 87, -23, 0, -105, 55, 1] 0    
[45, -9, 15, 5, -78] 5    
[-5, -9, -111, -1000, -7] -1    

 

 

  1. Given an array of numbers which is almost sorted in ascending order. Find the index where sorting order is violated.

 

Input   Output
[2, 12, 15, 48, 64] -1  
[-9, -4, -4, 3, 12, 4, 5] 5  

 

 

  1. Given an array. Write a recursive function that removes the first element and returns the given array. (without using ​shift()​)

 

Input   Output
[6, 78, ‘n’, 0, 1] [78, ‘n’, 0, 1]  
[5] []
[] []

 

 

  1. Given an array of nested arrays. Write a recursive function that flattens it. (Hint create function that concats arrays).

 

Input Output
[1, [3, 4, [1, 2]], 10] [1, 3, 4, 1, 2, 10]
 

[14, [1, [[[3, []]], 1], 0]

[14, 1, 3, 1, 0]

 

 

 

  1. Given an array and a number N. ​ ​Write a recursive function that rotates an array N places to the left. (​Hint​: to add element to the beginning use ​unshift()​)

 

[‘a’, ‘b’, ‘c’, ‘d’, ‘e’, ‘f’, ‘g’, ‘h’] 3 [‘d’, ‘e’, ‘f’, ‘g’, ‘h’, ‘a’, ‘b’, ‘c’]
[‘a’, ‘b’, ‘c’, ‘d’, ‘e’, ‘f’, ‘g’, ‘h’] -2 [‘g’, ‘h’, ‘a’, ‘b’, ‘c’, ‘d’, ‘e’, ‘f’]  

 

 

 

 

  1. Given a number. Write a function that calculates its sum of the digits and if that sum has more than 1 digit find the sum of digits of that number. Repeat that process if needed and return the result.

 

 

Input   Output
14 5  
29 2  
999999999999 9  

 

 

  1. Implement merge sort
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