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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 7387c8f97b
commit cb5bb5e222
199093 changed files with 3378972 additions and 0 deletions

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--global (if you want to be able to call this from test.exw)
function hailstone(atom n)
sequence s = {n}
while n!=1 do
if remainder(n,2)=0 then
n /= 2
else
n = 3*n+1
end if
s &= n
end while
return s
end function
global function hailstone_count(atom n)
integer count = 1
while n!=1 do
if remainder(n,2)=0 then
n /= 2
else
n = 3*n+1
end if
count += 1
end while
return count
end function
if include_file()==1 then
sequence s = hailstone(27)
integer ls = length(s)
s[5..-5] = {".."}
puts(1,"hailstone(27) = ")
? s
printf(1,"length = %d\n\n",ls)
integer hmax = 1, imax = 1,count
for i=2 to 1e5-1 do
count = hailstone_count(i)
if count>hmax then
hmax = count
imax = i
end if
end for
printf(1,"The longest hailstone sequence under 100,000 is %d with %d elements.\n",{imax,hmax})
end if

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include hail.exw
sequence counts = {}
for i=1 to 100000 do
integer l = hailstone_count(i)
if length(counts)<l then
counts &= repeat(0,l-length(counts))
end if
counts[l] += 1
end for
printf(1,"The hailstone length returned most often between 1 and 100,000 is %d.\n",{largest(counts,1)})