How to resolve the algorithm Increasing gaps between consecutive Niven numbers step by step in the BASIC256 programming language
Published on 12 May 2024 09:40 PM
How to resolve the algorithm Increasing gaps between consecutive Niven numbers step by step in the BASIC256 programming language
Table of Contents
Problem Statement
Note: Niven numbers are also called Harshad numbers.
Niven numbers are positive integers which are evenly divisible by the sum of its digits (expressed in base ten). Evenly divisible means divisible with no remainder.
Let's start with the solution:
Step by Step solution about How to resolve the algorithm Increasing gaps between consecutive Niven numbers step by step in the BASIC256 programming language
Source code in the basic256 programming language
function digit_sum(n, sum)
# devuelve la suma de los dígitos de n dada la suma de los dígitos de n - 1
sum ++
while (n > 0 and n mod 10 = 0)
sum -= 9
n = int(n / 10)
end while
return sum
end function
function divisible(n, d)
if ((d mod 1) = 0) and ((n mod 1) = 1) then
return 0
end if
return (n mod d = 0)
end function
global sum
sum = 0
gap = 0 : niven = 0 : niven_index = 0
gap_index = 0
previous = 1
print "Gap index Gap Niven index Niven number"
print "--------- --- ----------- ------------"
for niven = 1 to 1000000
sum = digit_sum(niven, sum)
if divisible(niven, sum) then
if (niven > previous + gap) then
gap_index += 1
gap = niven - previous
print gap_index, gap, niven_index, previous
end if
previous = niven
niven_index ++
end if
next niven
end
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