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How many permutations of rows can make 51 stars, max of 25 per row, max of 10 rows, can alternate
defmodule FlagStars do
def calculate() do
Enum.reduce(1..25, [], fn first, acc ->
acc ++ Enum.reduce(1..25, [], fn second, acc ->
acc ++ Enum.reduce(1..10, [], fn rows, acc ->
acc ++ cond do
(rows * first) == 51 -> [{first, rows}]
((div(rows, 2) + rem(rows, 2)) * first) + (div(rows, 2) * second) == 51 -> [{first, second, rows}]
true -> []
end
end)
end)
end)
|> Enum.uniq()
|> Enum.each(&(print_stars(&1)))
end
def print_stars({first, rows}) do
IO.puts "#{rows} rows with #{first} each"
Enum.each(1..rows, fn _ ->
IO.puts String.duplicate("*", first)
end)
IO.puts "\n"
end
def print_stars({first, second, rows}) do
IO.puts "#{rows} rows alternating #{first} and #{second}"
Enum.each(1..rows, fn row ->
case rem(row, 2) do
1 -> IO.puts String.duplicate("*", first)
0 -> IO.puts String.duplicate("*", second)
end
end)
IO.puts "\n"
end
end
FlagStars.calculate()
6 rows alternating 1 and 17
*
****************
*
****************
*
****************
5 rows alternating 1 and 24
*
************************
*
************************
*
6 rows alternating 2 and 15
**
***************
**
***************
**
***************
9 rows alternating 3 and 9
***
*********
***
*********
***
*********
***
*********
***
7 rows alternating 3 and 13
***
*************
***
*************
***
*************
***
6 rows alternating 3 and 14
***
**************
***
**************
***
**************
5 rows alternating 3 and 21
***
*********************
***
*********************
***
6 rows alternating 4 and 13
****
*************
****
*************
****
*************
6 rows alternating 5 and 12
*****
************
*****
************
*****
************
5 rows alternating 5 and 18
*****
******************
*****
******************
*****
7 rows alternating 6 and 9
******
*********
******
*********
******
*********
******
6 rows alternating 6 and 11
******
***********
******
***********
******
***********
9 rows alternating 7 and 4
*******
****
*******
****
*******
****
*******
****
*******
6 rows alternating 7 and 10
*******
**********
*******
**********
*******
**********
5 rows alternating 7 and 15
*******
***************
*******
***************
*******
6 rows alternating 8 and 9
********
*********
********
*********
********
*********
7 rows alternating 9 and 5
*********
*****
*********
*****
*********
*****
*********
6 rows alternating 9 and 8
*********
********
*********
********
*********
********
5 rows alternating 9 and 12
*********
************
*********
************
*********
6 rows alternating 10 and 7
**********
*******
**********
*******
**********
*******
6 rows alternating 11 and 6
***********
******
***********
******
***********
******
5 rows alternating 11 and 9
***********
*********
***********
*********
***********
7 rows alternating 12 and 1
************
*
************
*
************
*
************
6 rows alternating 12 and 5
************
*****
************
*****
************
*****
6 rows alternating 13 and 4
*************
****
*************
****
*************
****
5 rows alternating 13 and 6
*************
******
*************
******
*************
3 rows alternating 13 and 25
*************
*************************
*************
6 rows alternating 14 and 3
**************
***
**************
***
**************
***
3 rows alternating 14 and 23
**************
***********************
**************
6 rows alternating 15 and 2
***************
**
***************
**
***************
**
5 rows alternating 15 and 3
***************
***
***************
***
***************
3 rows alternating 15 and 21
***************
*********************
***************
6 rows alternating 16 and 1
****************
*
****************
*
****************
*
3 rows alternating 16 and 19
****************
*******************
****************
3 rows with 17 each
*****************
*****************
*****************
3 rows alternating 18 and 15
******************
***************
******************
3 rows alternating 19 and 13
*******************
*************
*******************
3 rows alternating 20 and 11
********************
***********
********************
3 rows alternating 21 and 9
*********************
*********
*********************
3 rows alternating 22 and 7
**********************
*******
**********************
3 rows alternating 23 and 5
***********************
*****
***********************
3 rows alternating 24 and 3
************************
***
************************
3 rows alternating 25 and 1
*************************
*
*************************
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