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' Challenge 102
'
' TASK #1 > Rare Numbers
' Submitted by: Mohammad S Anwar
'
' You are given a positive integer $N.
'
' Write a script to generate all Rare numbers of size $N if exists. Please
' checkout the page for more information about it.
' Examples
'
' (a) 2 digits: 65
' (b) 6 digits: 621770
' (c) 9 digits: 281089082
' convert 1234 to 4321
function invert_number(a as Integer) as Integer
dim a1 as Integer
do while a<>0
a1 = a1*10 + (a mod 10)
a = int(a / 10)
loop
invert_number = a1
end function
' check if number is a perfect square
function is_perfect_square(n as Integer) as Boolean
dim sq as Double
sq = sqr(CDbl(n))
if int(sq)^2=n then
is_perfect_square = True
else
is_perfect_square = False
end if
end function
' print all rare numbers with n digits
sub print_rare_numbers(n as Integer)
dim r as Integer, r1 as Integer
for r=10^(n-1) to 10^(n)-1
r1 = invert_number(r)
if is_perfect_square(r+r1) then
if r>=r1 then
if is_perfect_square(r-r1) then
print r
end if
end if
end if
next
end sub
' main
print_rare_numbers val(Command(1))
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