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Digital root algorithm is a very simple but powerful tool used in various fields such as checksum calculations (e.g., ISBN validation), cyclic redundancy checks, and understanding number properties in modular arithmetic. Plus, it offers a great way for beginners to learn and understand recursion problems (if its recursive implementation is also included)
Adding this feature helps people learn both the mathematical approach (constant time complexity) and recursive thinking. It would be useful for anyone interested in algorithms and number theory.
Explanation: The digital root of 123 is 6 because the sum of its digits 1 + 2 + 3 = 6.
Possible workarounds
No response
Additional information
Algorithm overview
The digital root of a number is the value obtained by repeatedly summing the digits of the number until a single digit is reached.
This issue proposes two implementations
Best-case constant time complexity algorithm
This calculates the digital root with constant time complexity using modulo arithmetic.
exportfunctiondigitalRoot(num){if(num<0)num=-num;returnnum===0 ? num : 1+((num-1)%9);}
Recursive Implementation
This has been proposed as a learning tool rather than for practical application. This recursive solution can help beginners in understanding recursion, and help them delve further into algorithms.
Motivation
Digital root algorithm is a very simple but powerful tool used in various fields such as checksum calculations (e.g., ISBN validation), cyclic redundancy checks, and understanding number properties in modular arithmetic. Plus, it offers a great way for beginners to learn and understand recursion problems (if its recursive implementation is also included)
Adding this feature helps people learn both the mathematical approach (constant time complexity) and recursive thinking. It would be useful for anyone interested in algorithms and number theory.
Examples
For
n = 15
:6
15
is6
because the sum of its digits1 + 5 = 6
.For
n = 123
:6
123
is6
because the sum of its digits1 + 2 + 3 = 6
.Possible workarounds
No response
Additional information
Algorithm overview
The digital root of a number is the value obtained by repeatedly summing the digits of the number until a single digit is reached.
This issue proposes two implementations
This calculates the digital root with constant time complexity using modulo arithmetic.
This has been proposed as a learning tool rather than for practical application. This recursive solution can help beginners in understanding recursion, and help them delve further into algorithms.
Also, if kindly assign this to me if this is accepted for implementation
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