How to resolve the algorithm Tau function step by step in the EMal programming language
Published on 12 May 2024 09:40 PM
How to resolve the algorithm Tau function step by step in the EMal programming language
Table of Contents
Problem Statement
Given a positive integer, count the number of its positive divisors.
Show the result for the first 100 positive integers.
Let's start with the solution:
Step by Step solution about How to resolve the algorithm Tau function step by step in the EMal programming language
Source code in the emal programming language
fun divisorCount = int by int n
int total = 1
for ; (n & 1) == 0; n /= 2 do ++total end
for int p = 3; p * p <= n; p += 2
int count = 1
for ; n % p == 0; n /= p do ++count end
total *= count
end
if n > 1 do total *= 2 end
return total
end
int limit = 100
writeLine("Count of divisors for the first " + limit + " positive integers:")
for int n = 1; n <= limit; ++n
text value = text!divisorCount(n)
write((" " * (3 - value.length)) + value)
if n % 20 == 0 do writeLine() end
end
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