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Puzzlet #38

Started by GWS, March 28, 2014, 08:57:49 PM

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GWS

Here's another maths puzzle by Dave Ellis from 2003 ..

This one is to find a 5-digit integer whose value is equal to the sum of the factorials
of its own digits.   :o


declare SumFactorials(s: int)
declare Factorial (f: int)
declare PrintResult()
def flag, n, sumFact: int
openconsole
print "Searching ...": print
n = 10000
flag = 0

do
sumFact = SumFactorials(n)
if sumFact = n
flag = 1
else
n = n + 1
endif
until flag

PrintResult()
print: print "Press any key to exit ..."
do: until inkey$ <> ""
closeconsole
end

sub SumFactorials(s)
' returns the sum of the factorials of
' the individual digits of s
def i, num, sum: int
num = s
sum = 0
for i = 1 to 5
sum = sum + Factorial(num % 10)
num = int(num/10)
next i
return sum

sub Factorial(f)
' returns the factorial of f
def it, fact: int
fact = 1
for it = 1 to f
fact = fact*it
next it
return fact

sub PrintResult
' pretty printer
def i, digit: int
def n$: string
print "Answer: ", n: print
n$ = str$(n)
for i = 2 to 6
digit = val(mid$(n$, i, 1))
print mid$(n$,i,1) + "! = ",
print using ("########", Factorial(digit))
next i
print: print "Sum: ",
print using ("########", n)
return



Hope you find these little puzzles interesting ..  :)

Graham
Tomorrow may be too late ..

LarryMc

nifty little brain teasers.
LarryMc
Larry McCaughn :)
Author of IWB+, Custom Button Designer library, Custom Chart Designer library, Snippet Manager, IWGrid control library, LM_Image control library