Colorful numbers: Difference between revisions

=={{header|Julia}}==

<lang julia>function iscolorful(n, base=10)

0 <= n < 10 && return true

dig = digits(n, base=base)

(1 in dig || 0 in dig || !allunique(dig)) && return false

products = copy(dig)

for i in 2:length(dig), j in 1:length(dig)-i+1

p = prod(dig[j:j+i-1])

p in products && return false

push!(products, p)

end

return true

end

function testcolorfuls()

println("Colorful numbers for 1:25, 26:50, 51:75, and 76:100:")

for i in 1:100

iscolorful(i) && print(rpad(i, 5))

i % 25 == 0 && println()

end

csum = 0

for i in 0:7

j, k = i == 0 ? 0 : 10^i, 10^(i+1) - 1

n = count(i -> iscolorful(i), j:k)

csum += n

println("The count of colorful numbers between $j and $k is $n.")

end

println("The total number of colorful numbers is $csum.")

end

testcolorfuls()

</lang>{{out}}

<pre>

1 2 3 4 5 6 7 8 9 23 24 25

26 27 28 29 32 34 35 36 37 38 39 42 43 45 46 47 48 49

52 53 54 56 57 58 59 62 63 64 65 67 68 69 72 73 74 75

76 78 79 82 83 84 85 86 87 89 92 93 94 95 96 97 98

The count of colorful numbers between 0 and 9 is 10.

The count of colorful numbers between 10 and 99 is 56.

The count of colorful numbers between 100 and 999 is 328.

The count of colorful numbers between 1000 and 9999 is 1540.

The count of colorful numbers between 10000 and 99999 is 5514.

The count of colorful numbers between 100000 and 999999 is 13956.

The count of colorful numbers between 1000000 and 9999999 is 21596.

The count of colorful numbers between 10000000 and 99999999 is 14256.

The total number of colorful numbers is 57256.

</pre>