A   Narcissistic decimal number   is a non-negative integer,   



n


{\displaystyle n}

,   that is equal to the sum of the   



m


{\displaystyle m}

-th   powers of each of the digits in the decimal representation of   



n


{\displaystyle n}

,   where   



m


{\displaystyle m}

   is the number of digits in the decimal representation of   



n


{\displaystyle n}

.



Narcissistic (decimal) numbers are sometimes called   Armstrong   numbers, named after Michael F. Armstrong.

They are also known as   Plus Perfect   numbers.



An example

   if   



n


{\displaystyle n}

   is   153 
   then   



m


{\displaystyle m}

,   (the number of decimal digits)   is   3 
   we have    13 + 53 + 33   =   1 + 125 + 27   =   153  
   and so   153   is a narcissistic decimal number


Task

Generate and show here the first   25   narcissistic decimal numbers.



Note:   




0

1


=
0


{\displaystyle 0^{1}=0}

,   the first in the series.



See also

   the  OEIS entry:     Armstrong (or Plus Perfect, or narcissistic) numbers.
   MathWorld entry:   Narcissistic Number.
   Wikipedia entry:     Narcissistic number.


var narc = Fn.new { |n|
    var power = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
    var limit = 10
    var result = []
    var x = 0
    while (result.count < n) {
        if (x >= limit) {
            for (i in 0..9) power[i] = power[i] * i
            limit = limit * 10
        }
        var sum = 0
        var xx = x
        while (xx > 0) {
            sum = sum + power[xx%10]
            xx = (xx/10).floor
        }
        if (sum == x) result.add(x)
        x = x + 1
    }
    return result
}
 
System.print(narc.call(25))