How to resolve the algorithm Increasing gaps between consecutive Niven numbers step by step in the Wren 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 Wren 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 Wren programming language
Source code in the wren programming language
import "./fmt" for Fmt
var newSum // recursive
newSum = Fn.new {
var ms // also recursive
ms = Fn.new {
ms = newSum.call()
return ms.call()
}
var msd = 0
var d = 0
return Fn.new {
if (d < 9) {
d = d + 1
} else {
d = 0
msd = ms.call()
}
return msd + d
}
}
var newHarshard = Fn.new {
var i = 0
var sum = newSum.call()
return Fn.new {
i = i + 1
while (i%sum.call() != 0) i = i + 1
return i
}
}
System.print("Gap Index of gap Starting Niven")
System.print("=== ============= ==============")
var h = newHarshard.call()
var pg = 0 // previous highest gap
var pn = h.call() // previous Niven number
var i = 1
var n = h.call()
while (n <= 1e9) {
var g = n - pn
if (g > pg) {
Fmt.print("$3d $,13d $,14d", g, i, pn)
pg = g
}
pn = n
i = i + 1
n = h.call()
}
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