diff options
| -rw-r--r-- | challenge-151/bruce-gray/raku/ch-1.raku | 1389 | ||||
| -rw-r--r-- | challenge-151/bruce-gray/raku/ch-2.raku | 92 |
2 files changed, 1481 insertions, 0 deletions
diff --git a/challenge-151/bruce-gray/raku/ch-1.raku b/challenge-151/bruce-gray/raku/ch-1.raku new file mode 100644 index 0000000000..2df18649fa --- /dev/null +++ b/challenge-151/bruce-gray/raku/ch-1.raku @@ -0,0 +1,1389 @@ +constant $Null_char = '*'; +sub is_null ( Str $s ) { $s eq $Null_char } + +sub minimum_depth_of_binary_tree ( Str $binary_tree_in_linear_format ) { + my @rows = $binary_tree_in_linear_format.split: '|'; + + my @last_row = 'anything_but_asterisk'; + + for @rows.kv -> $k, $row_string { + my @row = $row_string.words; + push @row, $Null_char while @row < 2**$k; + + @last_row = @row if $k == 0; + + for @row.batch(2) Z @last_row -> ($batch, $parent) { + return $k if $parent.&is_null.not + and $batch[0].&is_null + and $batch[1].&is_null; + } + + @last_row = @row; + } + + return +@rows; +} + +my @tests = ( +# From task description: + 2 => '1 | 2 3 | 4 5', + 3 => '1 | 2 3 | 4 * * 5 | * 6', + + # Generated + 2 => '0 | * 2 | |', + 2 => '0 | * 2 | * * * * | * * * * * * * *', + 3 => '0 | * 2 | * * * 6 |', + 3 => '0 | * 2 | * * * 6 | * * * * * * * *', + 4 => '0 | * 2 | * * * 6 | * * * * * * * E', + 4 => '0 | * 2 | * * * 6 | * * * * * * * E', + 4 => '0 | * 2 | * * * 6 | * * * * * * D', + 4 => '0 | * 2 | * * * 6 | * * * * * * D *', + 4 => '0 | * 2 | * * * 6 | * * * * * * D E', + 4 => '0 | * 2 | * * * 6 | * * * * * * D E', + 3 => '0 | * 2 | * * 5 |', + 3 => '0 | * 2 | * * 5 * | * * * * * * * *', + 4 => '0 | * 2 | * * 5 * | * * * * * C', + 4 => '0 | * 2 | * * 5 * | * * * * * C * *', + 4 => '0 | * 2 | * * 5 * | * * * * B', + 4 => '0 | * 2 | * * 5 * | * * * * B * * *', + 4 => '0 | * 2 | * * 5 * | * * * * B C', + 4 => '0 | * 2 | * * 5 * | * * * * B C * *', + 3 => '0 | * 2 | * * 5 6 |', + 3 => '0 | * 2 | * * 5 6 | * * * * * * * *', + 3 => '0 | * 2 | * * 5 6 | * * * * * * * E', + 3 => '0 | * 2 | * * 5 6 | * * * * * * * E', + 3 => '0 | * 2 | * * 5 6 | * * * * * * D', + 3 => '0 | * 2 | * * 5 6 | * * * * * * D *', + 3 => '0 | * 2 | * * 5 6 | * * * * * * D E', + 3 => '0 | * 2 | * * 5 6 | * * * * * * D E', + 3 => '0 | * 2 | * * 5 6 | * * * * * C', + 3 => '0 | * 2 | * * 5 6 | * * * * * C * *', + 4 => '0 | * 2 | * * 5 6 | * * * * * C * E', + 4 => '0 | * 2 | * * 5 6 | * * * * * C * E', + 4 => '0 | * 2 | * * 5 6 | * * * * * C D', + 4 => '0 | * 2 | * * 5 6 | * * * * * C D *', + 4 => '0 | * 2 | * * 5 6 | * * * * * C D E', + 4 => '0 | * 2 | * * 5 6 | * * * * * C D E', + 3 => '0 | * 2 | * * 5 6 | * * * * B', + 3 => '0 | * 2 | * * 5 6 | * * * * B * * *', + 4 => '0 | * 2 | * * 5 6 | * * * * B * * E', + 4 => '0 | * 2 | * * 5 6 | * * * * B * * E', + 4 => '0 | * 2 | * * 5 6 | * * * * B * D', + 4 => '0 | * 2 | * * 5 6 | * * * * B * D *', + 4 => '0 | * 2 | * * 5 6 | * * * * B * D E', + 4 => '0 | * 2 | * * 5 6 | * * * * B * D E', + 3 => '0 | * 2 | * * 5 6 | * * * * B C', + 3 => '0 | * 2 | * * 5 6 | * * * * B C * *', + 4 => '0 | * 2 | * * 5 6 | * * * * B C * E', + 4 => '0 | * 2 | * * 5 6 | * * * * B C * E', + 4 => '0 | * 2 | * * 5 6 | * * * * B C D', + 4 => '0 | * 2 | * * 5 6 | * * * * B C D *', + 4 => '0 | * 2 | * * 5 6 | * * * * B C D E', + 4 => '0 | * 2 | * * 5 6 | * * * * B C D E', + 2 => '0 | 1 * | |', + 2 => '0 | 1 * | * * * * | * * * * * * * *', + 3 => '0 | 1 * | * 4 |', + 3 => '0 | 1 * | * 4 * * | * * * * * * * *', + 4 => '0 | 1 * | * 4 * * | * * * A', + 4 => '0 | 1 * | * 4 * * | * * * A * * * *', + 4 => '0 | 1 * | * 4 * * | * * 9', + 4 => '0 | 1 * | * 4 * * | * * 9 * * * * *', + 4 => '0 | 1 * | * 4 * * | * * 9 A', + 4 => '0 | 1 * | * 4 * * | * * 9 A * * * *', + 3 => '0 | 1 * | 3 |', + 3 => '0 | 1 * | 3 * * * | * * * * * * * *', + 4 => '0 | 1 * | 3 * * * | * 8', + 4 => '0 | 1 * | 3 * * * | * 8 * * * * * *', + 4 => '0 | 1 * | 3 * * * | 7', + 4 => '0 | 1 * | 3 * * * | 7 * * * * * * *', + 4 => '0 | 1 * | 3 * * * | 7 8', + 4 => '0 | 1 * | 3 * * * | 7 8 * * * * * *', + 3 => '0 | 1 * | 3 4 |', + 3 => '0 | 1 * | 3 4 * * | * * * * * * * *', + 3 => '0 | 1 * | 3 4 * * | * * * A', + 3 => '0 | 1 * | 3 4 * * | * * * A * * * *', + 3 => '0 | 1 * | 3 4 * * | * * 9', + 3 => '0 | 1 * | 3 4 * * | * * 9 * * * * *', + 3 => '0 | 1 * | 3 4 * * | * * 9 A', + 3 => '0 | 1 * | 3 4 * * | * * 9 A * * * *', + 3 => '0 | 1 * | 3 4 * * | * 8', + 3 => '0 | 1 * | 3 4 * * | * 8 * * * * * *', + 4 => '0 | 1 * | 3 4 * * | * 8 * A', + 4 => '0 | 1 * | 3 4 * * | * 8 * A * * * *', + 4 => '0 | 1 * | 3 4 * * | * 8 9', + 4 => '0 | 1 * | 3 4 * * | * 8 9 * * * * *', + 4 => '0 | 1 * | 3 4 * * | * 8 9 A', + 4 => '0 | 1 * | 3 4 * * | * 8 9 A * * * *', + 3 => '0 | 1 * | 3 4 * * | 7', + 3 => '0 | 1 * | 3 4 * * | 7 * * * * * * *', + 4 => '0 | 1 * | 3 4 * * | 7 * * A', + 4 => '0 | 1 * | 3 4 * * | 7 * * A * * * *', + 4 => '0 | 1 * | 3 4 * * | 7 * 9', + 4 => '0 | 1 * | 3 4 * * | 7 * 9 * * * * *', + 4 => '0 | 1 * | 3 4 * * | 7 * 9 A', + 4 => '0 | 1 * | 3 4 * * | 7 * 9 A * * * *', + 3 => '0 | 1 * | 3 4 * * | 7 8', + 3 => '0 | 1 * | 3 4 * * | 7 8 * * * * * *', + 4 => '0 | 1 * | 3 4 * * | 7 8 * A', + 4 => '0 | 1 * | 3 4 * * | 7 8 * A * * * *', + 4 => '0 | 1 * | 3 4 * * | 7 8 9', + 4 => '0 | 1 * | 3 4 * * | 7 8 9 * * * * *', + 4 => '0 | 1 * | 3 4 * * | 7 8 9 A', + 4 => '0 | 1 * | 3 4 * * | 7 8 9 A * * * *', + 2 => '0 | 1 2 | |', + 2 => '0 | 1 2 | * * * * | * * * * * * * *', + 2 => '0 | 1 2 | * * * 6 |', + 2 => '0 | 1 2 | * * * 6 | * * * * * * * *', + 2 => '0 | 1 2 | * * * 6 | * * * * * * * E', + 2 => '0 | 1 2 | * * * 6 | * * * * * * * E', + 2 => '0 | 1 2 | * * * 6 | * * * * * * D', + 2 => '0 | 1 2 | * * * 6 | * * * * * * D *', + 2 => '0 | 1 2 | * * * 6 | * * * * * * D E', + 2 => '0 | 1 2 | * * * 6 | * * * * * * D E', + 2 => '0 | 1 2 | * * 5 |', + 2 => '0 | 1 2 | * * 5 * | * * * * * * * *', + 2 => '0 | 1 2 | * * 5 * | * * * * * C', + 2 => '0 | 1 2 | * * 5 * | * * * * * C * *', + 2 => '0 | 1 2 | * * 5 * | * * * * B', + 2 => '0 | 1 2 | * * 5 * | * * * * B * * *', + 2 => '0 | 1 2 | * * 5 * | * * * * B C', + 2 => '0 | 1 2 | * * 5 * | * * * * B C * *', + 2 => '0 | 1 2 | * * 5 6 |', + 2 => '0 | 1 2 | * * 5 6 | * * * * * * * *', + 2 => '0 | 1 2 | * * 5 6 | * * * * * * * E', + 2 => '0 | 1 2 | * * 5 6 | * * * * * * * E', + 2 => '0 | 1 2 | * * 5 6 | * * * * * * D', + 2 => '0 | 1 2 | * * 5 6 | * * * * * * D *', + 2 => '0 | 1 2 | * * 5 6 | * * * * * * D E', + 2 => '0 | 1 2 | * * 5 6 | * * * * * * D E', + 2 => '0 | 1 2 | * * 5 6 | * * * * * C', + 2 => '0 | 1 2 | * * 5 6 | * * * * * C * *', + 2 => '0 | 1 2 | * * 5 6 | * * * * * C * E', + 2 => '0 | 1 2 | * * 5 6 | * * * * * C * E', + 2 => '0 | 1 2 | * * 5 6 | * * * * * C D', + 2 => '0 | 1 2 | * * 5 6 | * * * * * C D *', + 2 => '0 | 1 2 | * * 5 6 | * * * * * C D E', + 2 => '0 | 1 2 | * * 5 6 | * * * * * C D E', + 2 => '0 | 1 2 | * * 5 6 | * * * * B', + 2 => '0 | 1 2 | * * 5 6 | * * * * B * * *', + 2 => '0 | 1 2 | * * 5 6 | * * * * B * * E', + 2 => '0 | 1 2 | * * 5 6 | * * * * B * * E', + 2 => '0 | 1 2 | * * 5 6 | * * * * B * D', + 2 => '0 | 1 2 | * * 5 6 | * * * * B * D *', + 2 => '0 | 1 2 | * * 5 6 | * * * * B * D E', + 2 => '0 | 1 2 | * * 5 6 | * * * * B * D E', + 2 => '0 | 1 2 | * * 5 6 | * * * * B C', + 2 => '0 | 1 2 | * * 5 6 | * * * * B C * *', + 2 => '0 | 1 2 | * * 5 6 | * * * * B C * E', + 2 => '0 | 1 2 | * * 5 6 | * * * * B C * E', + 2 => '0 | 1 2 | * * 5 6 | * * * * B C D', + 2 => '0 | 1 2 | * * 5 6 | * * * * B C D *', + 2 => '0 | 1 2 | * * 5 6 | * * * * B C D E', + 2 => '0 | 1 2 | * * 5 6 | * * * * B C D E', + 2 => '0 | 1 2 | * 4 |', + 2 => '0 | 1 2 | * 4 * * | * * * * * * * *', + 2 => '0 | 1 2 | * 4 * * | * * * A', + 2 => '0 | 1 2 | * 4 * * | * * * A * * * *', + 2 => '0 | 1 2 | * 4 * * | * * 9', + 2 => '0 | 1 2 | * 4 * * | * * 9 * * * * *', + 2 => '0 | 1 2 | * 4 * * | * * 9 A', + 2 => '0 | 1 2 | * 4 * * | * * 9 A * * * *', + 3 => '0 | 1 2 | * 4 * 6 |', + 3 => '0 | 1 2 | * 4 * 6 | * * * * * * * *', + 3 => '0 | 1 2 | * 4 * 6 | * * * * * * * E', + 3 => '0 | 1 2 | * 4 * 6 | * * * * * * * E', + 3 => '0 | 1 2 | * 4 * 6 | * * * * * * D', + 3 => '0 | 1 2 | * 4 * 6 | * * * * * * D *', + 3 => '0 | 1 2 | * 4 * 6 | * * * * * * D E', + 3 => '0 | 1 2 | * 4 * 6 | * * * * * * D E', + 3 => '0 | 1 2 | * 4 * 6 | * * * A', + 3 => '0 | 1 2 | * 4 * 6 | * * * A * * * *', + 4 => '0 | 1 2 | * 4 * 6 | * * * A * * * E', + 4 => '0 | 1 2 | * 4 * 6 | * * * A * * * E', + 4 => '0 | 1 2 | * 4 * 6 | * * * A * * D', + 4 => '0 | 1 2 | * 4 * 6 | * * * A * * D *', + 4 => '0 | 1 2 | * 4 * 6 | * * * A * * D E', + 4 => '0 | 1 2 | * 4 * 6 | * * * A * * D E', + 3 => '0 | 1 2 | * 4 * 6 | * * 9', + 3 => '0 | 1 2 | * 4 * 6 | * * 9 * * * * *', + 4 => '0 | 1 2 | * 4 * 6 | * * 9 * * * * E', + 4 => '0 | 1 2 | * 4 * 6 | * * 9 * * * * E', + 4 => '0 | 1 2 | * 4 * 6 | * * 9 * * * D', + 4 => '0 | 1 2 | * 4 * 6 | * * 9 * * * D *', + 4 => '0 | 1 2 | * 4 * 6 | * * 9 * * * D E', + 4 => '0 | 1 2 | * 4 * 6 | * * 9 * * * D E', + 3 => '0 | 1 2 | * 4 * 6 | * * 9 A', + 3 => '0 | 1 2 | * 4 * 6 | * * 9 A * * * *', + 4 => '0 | 1 2 | * 4 * 6 | * * 9 A * * * E', + 4 => '0 | 1 2 | * 4 * 6 | * * 9 A * * * E', + 4 => '0 | 1 2 | * 4 * 6 | * * 9 A * * D', + 4 => '0 | 1 2 | * 4 * 6 | * * 9 A * * D *', + 4 => '0 | 1 2 | * 4 * 6 | * * 9 A * * D E', + 4 => '0 | 1 2 | * 4 * 6 | * * 9 A * * D E', + 3 => '0 | 1 2 | * 4 5 |', + 3 => '0 | 1 2 | * 4 5 * | * * * * * * * *', + 3 => '0 | 1 2 | * 4 5 * | * * * * * C', + 3 => '0 | 1 2 | * 4 5 * | * * * * * C * *', + 3 => '0 | 1 2 | * 4 5 * | * * * * B', + 3 => '0 | 1 2 | * 4 5 * | * * * * B * * *', + 3 => '0 | 1 2 | * 4 5 * | * * * * B C', + 3 => '0 | 1 2 | * 4 5 * | * * * * B C * *', + 3 => '0 | 1 2 | * 4 5 * | * * * A', + 3 => '0 | 1 2 | * 4 5 * | * * * A * * * *', + 4 => '0 | 1 2 | * 4 5 * | * * * A * C', + 4 => '0 | 1 2 | * 4 5 * | * * * A * C * *', + 4 => '0 | 1 2 | * 4 5 * | * * * A B', + 4 => '0 | 1 2 | * 4 5 * | * * * A B * * *', + 4 => '0 | 1 2 | * 4 5 * | * * * A B C', + 4 => '0 | 1 2 | * 4 5 * | * * * A B C * *', + 3 => '0 | 1 2 | * 4 5 * | * * 9', + 3 => '0 | 1 2 | * 4 5 * | * * 9 * * * * *', + 4 => '0 | 1 2 | * 4 5 * | * * 9 * * C', + 4 => '0 | 1 2 | * 4 5 * | * * 9 * * C * *', + 4 => '0 | 1 2 | * 4 5 * | * * 9 * B', + 4 => '0 | 1 2 | * 4 5 * | * * 9 * B * * *', + 4 => '0 | 1 2 | * 4 5 * | * * 9 * B C', + 4 => '0 | 1 2 | * 4 5 * | * * 9 * B C * *', + 3 => '0 | 1 2 | * 4 5 * | * * 9 A', + 3 => '0 | 1 2 | * 4 5 * | * * 9 A * * * *', + 4 => '0 | 1 2 | * 4 5 * | * * 9 A * C', + 4 => '0 | 1 2 | * 4 5 * | * * 9 A * C * *', + 4 => '0 | 1 2 | * 4 5 * | * * 9 A B', + 4 => '0 | 1 2 | * 4 5 * | * * 9 A B * * *', + 4 => '0 | 1 2 | * 4 5 * | * * 9 A B C', + 4 => '0 | 1 2 | * 4 5 * | * * 9 A B C * *', + 3 => '0 | 1 2 | * 4 5 6 |', + 3 => '0 | 1 2 | * 4 5 6 | * * * * * * * *', + 3 => '0 | 1 2 | * 4 5 6 | * * * * * * * E', + 3 => '0 | 1 2 | * 4 5 6 | * * * * * * * E', + 3 => '0 | 1 2 | * 4 5 6 | * * * * * * D', + 3 => '0 | 1 2 | * 4 5 6 | * * * * * * D *', + 3 => '0 | 1 2 | * 4 5 6 | * * * * * * D E', + 3 => '0 | 1 2 | * 4 5 6 | * * * * * * D E', + 3 => '0 | 1 2 | * 4 5 6 | * * * * * C', + 3 => '0 | 1 2 | * 4 5 6 | * * * * * C * *', + 3 => '0 | 1 2 | * 4 5 6 | * * * * * C * E', + 3 => '0 | 1 2 | * 4 5 6 | * * * * * C * E', + 3 => '0 | 1 2 | * 4 5 6 | * * * * * C D', + 3 => '0 | 1 2 | * 4 5 6 | * * * * * C D *', + 3 => '0 | 1 2 | * 4 5 6 | * * * * * C D E', + 3 => '0 | 1 2 | * 4 5 6 | * * * * * C D E', + 3 => '0 | 1 2 | * 4 5 6 | * * * * B', + 3 => '0 | 1 2 | * 4 5 6 | * * * * B * * *', + 3 => '0 | 1 2 | * 4 5 6 | * * * * B * * E', + 3 => '0 | 1 2 | * 4 5 6 | * * * * B * * E', + 3 => '0 | 1 2 | * 4 5 6 | * * * * B * D', + 3 => '0 | 1 2 | * 4 5 6 | * * * * B * D *', + 3 => '0 | 1 2 | * 4 5 6 | * * * * B * D E', + 3 => '0 | 1 2 | * 4 5 6 | * * * * B * D E', + 3 => '0 | 1 2 | * 4 5 6 | * * * * B C', + 3 => '0 | 1 2 | * 4 5 6 | * * * * B C * *', + 3 => '0 | 1 2 | * 4 5 6 | * * * * B C * E', + 3 => '0 | 1 2 | * 4 5 6 | * * * * B C * E', + 3 => '0 | 1 2 | * 4 5 6 | * * * * B C D', + 3 => '0 | 1 2 | * 4 5 6 | * * * * B C D *', + 3 => '0 | 1 2 | * 4 5 6 | * * * * B C D E', + 3 => '0 | 1 2 | * 4 5 6 | * * * * B C D E', + 3 => '0 | 1 2 | * 4 5 6 | * * * A', + 3 => '0 | 1 2 | * 4 5 6 | * * * A * * * *', + 3 => '0 | 1 2 | * 4 5 6 | * * * A * * * E', + 3 => '0 | 1 2 | * 4 5 6 | * * * A * * * E', + 3 => '0 | 1 2 | * 4 5 6 | * * * A * * D', + 3 => '0 | 1 2 | * 4 5 6 | * * * A * * D *', + 3 => '0 | 1 2 | * 4 5 6 | * * * A * * D E', + 3 => '0 | 1 2 | * 4 5 6 | * * * A * * D E', + 3 => '0 | 1 2 | * 4 5 6 | * * * A * C', + 3 => '0 | 1 2 | * 4 5 6 | * * * A * C * *', + 4 => '0 | 1 2 | * 4 5 6 | * * * A * C * E', + 4 => '0 | 1 2 | * 4 5 6 | * * * A * C * E', + 4 => '0 | 1 2 | * 4 5 6 | * * * A * C D', + 4 => '0 | 1 2 | * 4 5 6 | * * * A * C D *', + 4 => '0 | 1 2 | * 4 5 6 | * * * A * C D E', + 4 => '0 | 1 2 | * 4 5 6 | * * * A * C D E', + 3 => '0 | 1 2 | * 4 5 6 | * * * A B', + 3 => '0 | 1 2 | * 4 5 6 | * * * A B * * *', + 4 => '0 | 1 2 | * 4 5 6 | * * * A B * * E', + 4 => '0 | 1 2 | * 4 5 6 | * * * A B * * E', + 4 => '0 | 1 2 | * 4 5 6 | * * * A B * D', + 4 => '0 | 1 2 | * 4 5 6 | * * * A B * D *', + 4 => '0 | 1 2 | * 4 5 6 | * * * A B * D E', + 4 => '0 | 1 2 | * 4 5 6 | * * * A B * D E', + 3 => '0 | 1 2 | * 4 5 6 | * * * A B C', + 3 => '0 | 1 2 | * 4 5 6 | * * * A B C * *', + 4 => '0 | 1 2 | * 4 5 6 | * * * A B C * E', + 4 => '0 | 1 2 | * 4 5 6 | * * * A B C * E', + 4 => '0 | 1 2 | * 4 5 6 | * * * A B C D', + 4 => '0 | 1 2 | * 4 5 6 | * * * A B C D *', + 4 => '0 | 1 2 | * 4 5 6 | * * * A B C D E', + 4 => '0 | 1 2 | * 4 5 6 | * * * A B C D E', + 3 => '0 | 1 2 | * 4 5 6 | * * 9', + 3 => '0 | 1 2 | * 4 5 6 | * * 9 * * * * *', + 3 => '0 | 1 2 | * 4 5 6 | * * 9 * * * * E', + 3 => '0 | 1 2 | * 4 5 6 | * * 9 * * * * E', + 3 => '0 | 1 2 | * 4 5 6 | * * 9 * * * D', + 3 => '0 | 1 2 | * 4 5 6 | * * 9 * * * D *', + 3 => '0 | 1 2 | * 4 5 6 | * * 9 * * * D E', + 3 => '0 | 1 2 | * 4 5 6 | * * 9 * * * D E', + 3 => '0 | 1 2 | * 4 5 6 | * * 9 * * C', + 3 => '0 | 1 2 | * 4 5 6 | * * 9 * * C * *', + 4 => '0 | 1 2 | * 4 5 6 | * * 9 * * C * E', + 4 => '0 | 1 2 | * 4 5 6 | * * 9 * * C * E', + 4 => '0 | 1 2 | * 4 5 6 | * * 9 * * C D', + 4 => '0 | 1 2 | * 4 5 6 | * * 9 * * C D *', + 4 => '0 | 1 2 | * 4 5 6 | * * 9 * * C D E', + 4 => '0 | 1 2 | * 4 5 6 | * * 9 * * C D E', + 3 => '0 | 1 2 | * 4 5 6 | * * 9 * B', + 3 => '0 | 1 2 | * 4 5 6 | * * 9 * B * * *', + 4 => '0 | 1 2 | * 4 5 6 | * * 9 * B * * E', + 4 => '0 | 1 2 | * 4 5 6 | * * 9 * B * * E', + 4 => '0 | 1 2 | * 4 5 6 | * * 9 * B * D', + 4 => '0 | 1 2 | * 4 5 6 | * * 9 * B * D *', + 4 => '0 | 1 2 | * 4 5 6 | * * 9 * B * D E', + 4 => '0 | 1 2 | * 4 5 6 | * * 9 * B * D E', + 3 => '0 | 1 2 | * 4 5 6 | * * 9 * B C', + 3 => '0 | 1 2 | * 4 5 6 | * * 9 * B C * *', + 4 => '0 | 1 2 | * 4 5 6 | * * 9 * B C * E', + 4 => '0 | 1 2 | * 4 5 6 | * * 9 * B C * E', + 4 => '0 | 1 2 | * 4 5 6 | * * 9 * B C D', + 4 => '0 | 1 2 | * 4 5 6 | * * 9 * B C D *', + 4 => '0 | 1 2 | * 4 5 6 | * * 9 * B C D E', + 4 => '0 | 1 2 | * 4 5 6 | * * 9 * B C D E', + 3 => '0 | 1 2 | * 4 5 6 | * * 9 A', + 3 => '0 | 1 2 | * 4 5 6 | * * 9 A * * * *', + 3 => '0 | 1 2 | * 4 5 6 | * * 9 A * * * E', + 3 => '0 | 1 2 | * 4 5 6 | * * 9 A * * * E', + 3 => '0 | 1 2 | * 4 5 6 | * * 9 A * * D', + 3 => '0 | 1 2 | * 4 5 6 | * * 9 A * * D *', + 3 => '0 | 1 2 | * 4 5 6 | * * 9 A * * D E', + 3 => '0 | 1 2 | * 4 5 6 | * * 9 A * * D E', + 3 => '0 | 1 2 | * 4 5 6 | * * 9 A * C', + 3 => '0 | 1 2 | * 4 5 6 | * * 9 A * C * *', + 4 => '0 | 1 2 | * 4 5 6 | * * 9 A * C * E', + 4 => '0 | 1 2 | * 4 5 6 | * * 9 A * C * E', + 4 => '0 | 1 2 | * 4 5 6 | * * 9 A * C D', + 4 => '0 | 1 2 | * 4 5 6 | * * 9 A * C D *', + 4 => '0 | 1 2 | * 4 5 6 | * * 9 A * C D E', + 4 => '0 | 1 2 | * 4 5 6 | * * 9 A * C D E', + 3 => '0 | 1 2 | * 4 5 6 | * * 9 A B', + 3 => '0 | 1 2 | * 4 5 6 | * * 9 A B * * *', + 4 => '0 | 1 2 | * 4 5 6 | * * 9 A B * * E', + 4 => '0 | 1 2 | * 4 5 6 | * * 9 A B * * E', + 4 => '0 | 1 2 | * 4 5 6 | * * 9 A B * D', + 4 => '0 | 1 2 | * 4 5 6 | * * 9 A B * D *', + 4 => '0 | 1 2 | * 4 5 6 | * * 9 A B * D E', + 4 => '0 | 1 2 | * 4 5 6 | * * 9 A B * D E', + 3 => '0 | 1 2 | * 4 5 6 | * * 9 A B C', + 3 => '0 | 1 2 | * 4 5 6 | * * 9 A B C * *', + 4 => '0 | 1 2 | * 4 5 6 | * * 9 A B C * E', + 4 => '0 | 1 2 | * 4 5 6 | * * 9 A B 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| 7 8 * * * C * *', + 4 => '0 | 1 2 | 3 * 5 6 | 7 8 * * * C * E', + 4 => '0 | 1 2 | 3 * 5 6 | 7 8 * * * C * E', + 4 => '0 | 1 2 | 3 * 5 6 | 7 8 * * * C D', + 4 => '0 | 1 2 | 3 * 5 6 | 7 8 * * * C D *', + 4 => '0 | 1 2 | 3 * 5 6 | 7 8 * * * C D E', + 4 => '0 | 1 2 | 3 * 5 6 | 7 8 * * * C D E', + 3 => '0 | 1 2 | 3 * 5 6 | 7 8 * * B', + 3 => '0 | 1 2 | 3 * 5 6 | 7 8 * * B * * *', + 4 => '0 | 1 2 | 3 * 5 6 | 7 8 * * B * * E', + 4 => '0 | 1 2 | 3 * 5 6 | 7 8 * * B * * E', + 4 => '0 | 1 2 | 3 * 5 6 | 7 8 * * B * D', + 4 => '0 | 1 2 | 3 * 5 6 | 7 8 * * B * D *', + 4 => '0 | 1 2 | 3 * 5 6 | 7 8 * * B * D E', + 4 => '0 | 1 2 | 3 * 5 6 | 7 8 * * B * D E', + 3 => '0 | 1 2 | 3 * 5 6 | 7 8 * * B C', + 3 => '0 | 1 2 | 3 * 5 6 | 7 8 * * B C * *', + 4 => '0 | 1 2 | 3 * 5 6 | 7 8 * * B C * E', + 4 => '0 | 1 2 | 3 * 5 6 | 7 8 * * B C * E', + 4 => '0 | 1 2 | 3 * 5 6 | 7 8 * * B C D', + 4 => '0 | 1 2 | 3 * 5 6 | 7 8 * * B C D *', + 4 => '0 | 1 2 | 3 * 5 6 | 7 8 * * B C D E', + 4 => '0 | 1 2 | 3 * 5 6 | 7 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* * D *', + 3 => '0 | 1 2 | 3 4 * 6 | * 8 * * * * D E', + 3 => '0 | 1 2 | 3 4 * 6 | * 8 * * * * D E', + 3 => '0 | 1 2 | 3 4 * 6 | * 8 * A', + 3 => '0 | 1 2 | 3 4 * 6 | * 8 * A * * * *', + 4 => '0 | 1 2 | 3 4 * 6 | * 8 * A * * * E', + 4 => '0 | 1 2 | 3 4 * 6 | * 8 * A * * * E', + 4 => '0 | 1 2 | 3 4 * 6 | * 8 * A * * D', + 4 => '0 | 1 2 | 3 4 * 6 | * 8 * A * * D *', + 4 => '0 | 1 2 | 3 4 * 6 | * 8 * A * * D E', + 4 => '0 | 1 2 | 3 4 * 6 | * 8 * A * * D E', + 3 => '0 | 1 2 | 3 4 * 6 | * 8 9', + 3 => '0 | 1 2 | 3 4 * 6 | * 8 9 * * * * *', + 4 => '0 | 1 2 | 3 4 * 6 | * 8 9 * * * * E', + 4 => '0 | 1 2 | 3 4 * 6 | * 8 9 * * * * E', + 4 => '0 | 1 2 | 3 4 * 6 | * 8 9 * * * D', + 4 => '0 | 1 2 | 3 4 * 6 | * 8 9 * * * D *', + 4 => '0 | 1 2 | 3 4 * 6 | * 8 9 * * * D E', + 4 => '0 | 1 2 | 3 4 * 6 | * 8 9 * * * D E', + 3 => '0 | 1 2 | 3 4 * 6 | * 8 9 A', + 3 => '0 | 1 2 | 3 4 * 6 | * 8 9 A * * * *', + 4 => '0 | 1 2 | 3 4 * 6 | * 8 9 A * * * E', + 4 => '0 | 1 2 | 3 4 * 6 | * 8 9 A * * * E', + 4 => '0 | 1 2 | 3 4 * 6 | * 8 9 A * * D', + 4 => '0 | 1 2 | 3 4 * 6 | * 8 9 A * * D *', + 4 => '0 | 1 2 | 3 4 * 6 | * 8 9 A * * D E', + 4 => '0 | 1 2 | 3 4 * 6 | * 8 9 A * * D E', + 3 => '0 | 1 2 | 3 4 * 6 | 7', + 3 => '0 | 1 2 | 3 4 * 6 | 7 * * * * * * *', + 3 => '0 | 1 2 | 3 4 * 6 | 7 * * * * * * E', + 3 => '0 | 1 2 | 3 4 * 6 | 7 * * * * * * E', + 3 => '0 | 1 2 | 3 4 * 6 | 7 * * * * * D', + 3 => '0 | 1 2 | 3 4 * 6 | 7 * * * * * D *', + 3 => '0 | 1 2 | 3 4 * 6 | 7 * * * * * D E', + 3 => '0 | 1 2 | 3 4 * 6 | 7 * * * * * D E', + 3 => '0 | 1 2 | 3 4 * 6 | 7 * * A', + 3 => '0 | 1 2 | 3 4 * 6 | 7 * * A * * * *', + 4 => '0 | 1 2 | 3 4 * 6 | 7 * * A * * * E', + 4 => '0 | 1 2 | 3 4 * 6 | 7 * * A * * * E', + 4 => '0 | 1 2 | 3 4 * 6 | 7 * * A * * D', + 4 => '0 | 1 2 | 3 4 * 6 | 7 * * A * * D *', + 4 => '0 | 1 2 | 3 4 * 6 | 7 * * A * * D E', + 4 => '0 | 1 2 | 3 4 * 6 | 7 * * A * * D E', + 3 => '0 | 1 2 | 3 4 * 6 | 7 * 9', + 3 => '0 | 1 2 | 3 4 * 6 | 7 * 9 * * * * *', + 4 => '0 | 1 2 | 3 4 * 6 | 7 * 9 * * * * E', + 4 => '0 | 1 2 | 3 4 * 6 | 7 * 9 * * * * E', + 4 => '0 | 1 2 | 3 4 * 6 | 7 * 9 * * * D', + 4 => '0 | 1 2 | 3 4 * 6 | 7 * 9 * * * D *', + 4 => '0 | 1 2 | 3 4 * 6 | 7 * 9 * * * D E', + 4 => '0 | 1 2 | 3 4 * 6 | 7 * 9 * * * D E', + 3 => '0 | 1 2 | 3 4 * 6 | 7 * 9 A', + 3 => '0 | 1 2 | 3 4 * 6 | 7 * 9 A * * * *', + 4 => '0 | 1 2 | 3 4 * 6 | 7 * 9 A * * * E', + 4 => '0 | 1 2 | 3 4 * 6 | 7 * 9 A * * * E', + 4 => '0 | 1 2 | 3 4 * 6 | 7 * 9 A * * D', + 4 => '0 | 1 2 | 3 4 * 6 | 7 * 9 A * * D *', + 4 => '0 | 1 2 | 3 4 * 6 | 7 * 9 A * * D E', + 4 => '0 | 1 2 | 3 4 * 6 | 7 * 9 A * * D E', + 3 => '0 | 1 2 | 3 4 * 6 | 7 8', + 3 => '0 | 1 2 | 3 4 * 6 | 7 8 * * * * * *', + 3 => '0 | 1 2 | 3 4 * 6 | 7 8 * * * * * E', + 3 => '0 | 1 2 | 3 4 * 6 | 7 8 * * * * * E', + 3 => '0 | 1 2 | 3 4 * 6 | 7 8 * * * * D', + 3 => '0 | 1 2 | 3 4 * 6 | 7 8 * * * * D *', + 3 => '0 | 1 2 | 3 4 * 6 | 7 8 * * * * D E', + 3 => '0 | 1 2 | 3 4 * 6 | 7 8 * * * * D E', + 3 => '0 | 1 2 | 3 4 * 6 | 7 8 * A', + 3 => '0 | 1 2 | 3 4 * 6 | 7 8 * A * * * *', + 4 => '0 | 1 2 | 3 4 * 6 | 7 8 * A * * * E', + 4 => '0 | 1 2 | 3 4 * 6 | 7 8 * A * * * E', + 4 => '0 | 1 2 | 3 4 * 6 | 7 8 * A * * D', + 4 => '0 | 1 2 | 3 4 * 6 | 7 8 * A * * D *', + 4 => '0 | 1 2 | 3 4 * 6 | 7 8 * A * * D E', + 4 => '0 | 1 2 | 3 4 * 6 | 7 8 * A * * D E', + 3 => '0 | 1 2 | 3 4 * 6 | 7 8 9', + 3 => '0 | 1 2 | 3 4 * 6 | 7 8 9 * * * * *', + 4 => '0 | 1 2 | 3 4 * 6 | 7 8 9 * * * * E', + 4 => '0 | 1 2 | 3 4 * 6 | 7 8 9 * * * * E', + 4 => '0 | 1 2 | 3 4 * 6 | 7 8 9 * * * D', + 4 => '0 | 1 2 | 3 4 * 6 | 7 8 9 * * * D *', + 4 => '0 | 1 2 | 3 4 * 6 | 7 8 9 * * * D E', + 4 => '0 | 1 2 | 3 4 * 6 | 7 8 9 * * * D E', + 3 => '0 | 1 2 | 3 4 * 6 | 7 8 9 A', + 3 => '0 | 1 2 | 3 4 * 6 | 7 8 9 A * * * *', + 4 => '0 | 1 2 | 3 4 * 6 | 7 8 9 A * * * E', + 4 => '0 | 1 2 | 3 4 * 6 | 7 8 9 A * * * E', + 4 => '0 | 1 2 | 3 4 * 6 | 7 8 9 A * * D', + 4 => '0 | 1 2 | 3 4 * 6 | 7 8 9 A * * D *', + 4 => '0 | 1 2 | 3 4 * 6 | 7 8 9 A * * D E', + 4 => '0 | 1 2 | 3 4 * 6 | 7 8 9 A * * D E', + 3 => '0 | 1 2 | 3 4 5 |', + 3 => '0 | 1 2 | 3 4 5 * | * * * * * * * *', + 3 => '0 | 1 2 | 3 4 5 * | * * * * * C', + 3 => '0 | 1 2 | 3 4 5 * | * * * * * C * *', + 3 => '0 | 1 2 | 3 4 5 * | * * * * B', + 3 => '0 | 1 2 | 3 4 5 * | * * * * B * * *', + 3 => '0 | 1 2 | 3 4 5 * | * * * * B C', + 3 => '0 | 1 2 | 3 4 5 * | * * * * B C * *', + 3 => '0 | 1 2 | 3 4 5 * | * * * A', + 3 => '0 | 1 2 | 3 4 5 * | * * * A * * * *', + 3 => '0 | 1 2 | 3 4 5 * | * * * A * C', + 3 => '0 | 1 2 | 3 4 5 * | * * * A * C * *', + 3 => '0 | 1 2 | 3 4 5 * | * * * A B', + 3 => '0 | 1 2 | 3 4 5 * | * * * A B * * *', + 3 => '0 | 1 2 | 3 4 5 * | * * * A B C', + 3 => '0 | 1 2 | 3 4 5 * | * * * A B C * *', + 3 => '0 | 1 2 | 3 4 5 * | * * 9', + 3 => '0 | 1 2 | 3 4 5 * | * * 9 * * * * *', + 3 => '0 | 1 2 | 3 4 5 * | * * 9 * * C', + 3 => '0 | 1 2 | 3 4 5 * | * * 9 * * C * *', + 3 => '0 | 1 2 | 3 4 5 * | * * 9 * B', + 3 => '0 | 1 2 | 3 4 5 * | * * 9 * B * * *', + 3 => '0 | 1 2 | 3 4 5 * | * * 9 * B C', + 3 => '0 | 1 2 | 3 4 5 * | * * 9 * B C * *', + 3 => '0 | 1 2 | 3 4 5 * | * * 9 A', + 3 => '0 | 1 2 | 3 4 5 * | * * 9 A * * * *', + 3 => '0 | 1 2 | 3 4 5 * | * * 9 A * C', + 3 => '0 | 1 2 | 3 4 5 * | * * 9 A * C * *', + 3 => '0 | 1 2 | 3 4 5 * | * * 9 A B', + 3 => '0 | 1 2 | 3 4 5 * | * * 9 A B * * *', + 3 => '0 | 1 2 | 3 4 5 * | * * 9 A B C', + 3 => '0 | 1 2 | 3 4 5 * | * * 9 A B C * *', + 3 => '0 | 1 2 | 3 4 5 * | * 8', + 3 => '0 | 1 2 | 3 4 5 * | * 8 * * * * * *', + 3 => '0 | 1 2 | 3 4 5 * | * 8 * * * C', + 3 => '0 | 1 2 | 3 4 5 * | * 8 * * * C * *', + 3 => '0 | 1 2 | 3 4 5 * | * 8 * * B', + 3 => '0 | 1 2 | 3 4 5 * | * 8 * * B * * *', + 3 => '0 | 1 2 | 3 4 5 * | * 8 * * B C', + 3 => '0 | 1 2 | 3 4 5 * | * 8 * * B C * *', + 3 => '0 | 1 2 | 3 4 5 * | * 8 * A', + 3 => '0 | 1 2 | 3 4 5 * | * 8 * A * * * *', + 4 => '0 | 1 2 | 3 4 5 * | * 8 * A * C', + 4 => '0 | 1 2 | 3 4 5 * | * 8 * A * C * *', + 4 => '0 | 1 2 | 3 4 5 * | * 8 * A B', + 4 => '0 | 1 2 | 3 4 5 * | * 8 * A B * * *', + 4 => '0 | 1 2 | 3 4 5 * | * 8 * A B C', + 4 => '0 | 1 2 | 3 4 5 * | * 8 * A B C * *', + 3 => '0 | 1 2 | 3 4 5 * | * 8 9', + 3 => '0 | 1 2 | 3 4 5 * | * 8 9 * * * * *', + 4 => '0 | 1 2 | 3 4 5 * | * 8 9 * * C', + 4 => '0 | 1 2 | 3 4 5 * | * 8 9 * * C * *', + 4 => '0 | 1 2 | 3 4 5 * | * 8 9 * B', + 4 => '0 | 1 2 | 3 4 5 * | * 8 9 * B * * *', + 4 => '0 | 1 2 | 3 4 5 * | * 8 9 * B C', + 4 => '0 | 1 2 | 3 4 5 * | * 8 9 * B C * *', + 3 => '0 | 1 2 | 3 4 5 * | * 8 9 A', + 3 => '0 | 1 2 | 3 4 5 * | * 8 9 A * * * *', + 4 => '0 | 1 2 | 3 4 5 * | * 8 9 A * C', + 4 => '0 | 1 2 | 3 4 5 * | * 8 9 A * C * *', + 4 => '0 | 1 2 | 3 4 5 * | * 8 9 A B', + 4 => '0 | 1 2 | 3 4 5 * | * 8 9 A B * * *', + 4 => '0 | 1 2 | 3 4 5 * | * 8 9 A B C', + 4 => '0 | 1 2 | 3 4 5 * | * 8 9 A B C * *', + 3 => '0 | 1 2 | 3 4 5 * | 7', + 3 => '0 | 1 2 | 3 4 5 * | 7 * * * * * * *', + 3 => '0 | 1 2 | 3 4 5 * | 7 * * * * C', + 3 => '0 | 1 2 | 3 4 5 * | 7 * * * * C * *', + 3 => '0 | 1 2 | 3 4 5 * | 7 * * * B', + 3 => '0 | 1 2 | 3 4 5 * | 7 * * * B * * *', + 3 => '0 | 1 2 | 3 4 5 * | 7 * * * B C', + 3 => '0 | 1 2 | 3 4 5 * | 7 * * * B C * *', + 3 => '0 | 1 2 | 3 4 5 * | 7 * * A', + 3 => '0 | 1 2 | 3 4 5 * | 7 * * A * * * *', + 4 => '0 | 1 2 | 3 4 5 * | 7 * * A * C', + 4 => '0 | 1 2 | 3 4 5 * | 7 * * A * C * *', + 4 => '0 | 1 2 | 3 4 5 * | 7 * * A B', + 4 => '0 | 1 2 | 3 4 5 * | 7 * * A B * * *', + 4 => '0 | 1 2 | 3 4 5 * | 7 * * A B C', + 4 => '0 | 1 2 | 3 4 5 * | 7 * * A B C * *', + 3 => '0 | 1 2 | 3 4 5 * | 7 * 9', + 3 => '0 | 1 2 | 3 4 5 * | 7 * 9 * * * * *', + 4 => '0 | 1 2 | 3 4 5 * | 7 * 9 * * C', + 4 => '0 | 1 2 | 3 4 5 * | 7 * 9 * * C * *', + 4 => '0 | 1 2 | 3 4 5 * | 7 * 9 * B', + 4 => '0 | 1 2 | 3 4 5 * | 7 * 9 * B * * *', + 4 => '0 | 1 2 | 3 4 5 * | 7 * 9 * B C', + 4 => '0 | 1 2 | 3 4 5 * | 7 * 9 * B C * *', + 3 => '0 | 1 2 | 3 4 5 * | 7 * 9 A', + 3 => '0 | 1 2 | 3 4 5 * | 7 * 9 A * * * *', + 4 => '0 | 1 2 | 3 4 5 * | 7 * 9 A * C', + 4 => '0 | 1 2 | 3 4 5 * | 7 * 9 A * C * *', + 4 => '0 | 1 2 | 3 4 5 * | 7 * 9 A B', + 4 => '0 | 1 2 | 3 4 5 * | 7 * 9 A B * * *', + 4 => '0 | 1 2 | 3 4 5 * | 7 * 9 A B C', + 4 => '0 | 1 2 | 3 4 5 * | 7 * 9 A B C * *', + 3 => '0 | 1 2 | 3 4 5 * | 7 8', + 3 => '0 | 1 2 | 3 4 5 * | 7 8 * * * * * *', + 3 => '0 | 1 2 | 3 4 5 * | 7 8 * * * C', + 3 => '0 | 1 2 | 3 4 5 * | 7 8 * * * C * *', + 3 => '0 | 1 2 | 3 4 5 * | 7 8 * * B', + 3 => '0 | 1 2 | 3 4 5 * | 7 8 * * B * * *', + 3 => '0 | 1 2 | 3 4 5 * | 7 8 * * B C', |