Data update

This commit is contained in:
Ingy döt Net 2023-12-16 21:33:55 -08:00
parent 35bcdeebf8
commit 74c69a0df6
2427 changed files with 31826 additions and 3468 deletions

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getSequence = function(n)
results = [n]
while n > 1
if n % 2 then
n = 3 * n + 1
else
n = n / 2
end if
results.push n
end while
return results
end function
h = getSequence(27)
print "The hailstone sequence for 27 has 112 elements starting with"
print h[:4]
print "and ending with"
print h[-4:]
maxSeqLen = 0
maxSeqVal = 0
for i in range(1,100000)
h = getSequence(i)
if h.len > maxSeqLen then
maxSeqLen = h.len
maxSeqVal = i
end if
end for
print
print "The number < 100,000 which has the longest hailstone sequence is " + maxSeqVal + "."
print "This sequence has " + maxSeqLen + " elements."

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cache = {}
calc = function(n)
if cache.hasIndex(n) then return
items = [n]
origNum = n
while n > 1 and not cache.hasIndex(n)
if n % 2 then
n = 3 * n + 1
else
n = n /2
end if
items.push n
end while
cache[origNum] = {"len": items.len,"items":items}
end function
getLen = function(n)
if not cache.hasIndex(n) then calc n
if n == 1 then return 1
return cache[n].len + getLen(cache[n].items[-1]) - 1
end function
getSequence = function(n)
if not cache.hasIndex(n) then calc n
if n == 1 then return [1]
return cache[n].items[:-1] + getSequence(cache[n].items[-1])
end function
h = getSequence(27)
print "The hailstone sequence for 27 has " + h.len + " elements starting with"
print h[:4]
print "and ending with"
print h[-4:]
longSeq = 0
longSeqVal =0
for i in range(2, 100000)
seq = getLen(i)
if longSeq < seq then
longSeq = seq
longSeqVal = i
end if
end for
print "The number < 100,000 which has the longest hailstone sequence is " + longSeqVal + "."
print "This sequence has " + longSeq + " elements."