Data update

This commit is contained in:
Ingy döt Net 2024-07-13 15:19:22 -07:00
parent 29a5eea0d4
commit 5c1bb7bfa9
2011 changed files with 35081 additions and 3229 deletions

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@ -0,0 +1,35 @@
100 cls
110 most = 1
120 maxcount = 0
130 print "The proper divisors of the following numbers are: ";chr$(10)
140 listproperdivisors(10)
150 for n = 2 to 20000
160 rem It is extremely slow in this loop
170 count = countproperdivisors(n)
180 if count > maxcount then
190 maxcount = count
200 most = n
210 endif
220 next n
230 print
240 print most;" has the most proper divisors, namely ";maxcount
250 end
260 function countproperdivisors(number)
270 if number < 2 then countproperdivisors = 0
280 count = 0
290 for i = 1 to int(number/2)
300 if number mod i = 0 then count = count+1
310 next i
320 countproperdivisors = count
330 end function
340 sub listproperdivisors(limit)
350 if limit < 1 then exit sub
360 for i = 1 to limit
370 print using "## ->";i;
380 if i = 1 then print " (None)";
390 for j = 1 to int(i/2)
400 if i mod j = 0 then print " ";j;
410 next j
420 print
430 next i
440 end sub

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@ -1,7 +1,6 @@
proc propdivs n . divs[] .
divs[] = [ ]
func[] propdivs n .
if n < 2
return
return [ ]
.
divs[] &= 1
sqr = sqrt n
@ -13,14 +12,13 @@ proc propdivs n . divs[] .
.
.
.
return divs[]
.
for i to 10
propdivs i d[]
write i & ":"
print d[]
print i & ":" & propdivs i
.
for i to 20000
propdivs i d[]
d[] = propdivs i
if len d[] > max
max = len d[]
maxi = i

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@ -0,0 +1,47 @@
Sub ListProperDivisors(limit As Integer)
If limit < 1 Then Return
For i As Integer = 1 To limit
Print Format$(i, "## ->");
If i = 1 Then
Print " (None)"
Continue
End If
For j As Integer = 1 To i \ 2
If i Mod j = 0 Then Print " "; j;
Next
Print
Next
End Sub
Function CountProperDivisors(number As Integer) As Integer
If number < 2 Then Return 0
Dim count As Integer = 0
For i As Integer = 1 To number \ 2
If number Mod i = 0 Then count += 1
Next
Return count
End Function
Public Sub Main()
Dim n As Integer, count As Integer, most As Integer = 1, maxCount As Integer = 0
Print "The proper divisors of the following numbers are: \n"
ListProperDivisors(10)
For n As Integer = 2 To 20000
count = CountProperDivisors(n)
If count > maxCount Then
maxCount = count
most = n
End If
Next
Print
Print most; " has the most proper divisors, namely "; maxCount
End

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@ -1,26 +1,26 @@
val .getproper = fn(.x) for[=[]] .i of .x \ 2 { if .x div .i: _for ~= [.i] }
val .cntproper = fn(.x) for[=0] .i of .x \ 2 { if .x div .i: _for += 1 }
val getproper = fn x: for[=[]] i of x \ 2 { if x div i: _for ~= [i] }
val cntproper = fn x: for[=0] i of x \ 2 { if x div i: _for += 1 }
val .listproper = fn(.x) {
if .x < 1: return null
for[=""] .i of .x {
_for ~= $"\.i:2; -> \.getproper(.i);\n"
val listproper = fn(x) {
if x < 1: return null
for[=""] i of x {
_for ~= "{{i:2}} -> {{getproper(i)}}\n"
}
}
writeln "The proper divisors of the following numbers are :"
writeln .listproper(10)
writeln listproper(10)
var .max = 0
var .most = []
for .n in 2 .. 20_000 {
val .cnt = .cntproper(.n)
if .cnt == .max {
.most = more .most, .n
} else if .cnt > .max {
.max, .most = .cnt, [.n]
var mx = 0
var most = []
for n in 2 .. 20_000 {
val cnt = cntproper(n)
if cnt == mx {
most = more(most, n)
} else if cnt > mx {
mx, most = cnt, [n]
}
}
writeln $"The following number(s) <= 20000 have the most proper divisors (\.max;)"
writeln .most
writeln "The following number(s) <= 20000 have the most proper divisors ({{mx}})"
writeln most