Created
August 15, 2018 18:13
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Fill in partial row clues for a nonagram row
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CHAR_TO_CELL = { '_' => :unknown, 'x' => :empty, '#' => :full, '?' => :multiple } | |
CELL_TO_CHAR = { empty: 'X', full: '#', multiple: '_', unknown: '_' } | |
def expand_row raw_row | |
split = raw_row.split /([_X#]\d*)/ | |
items = split.reject { |s| s == '' } | |
items.map do |item| | |
item[0] * [1, item[1..-1].to_i].max | |
end.join.split('').map { |c| CHAR_TO_CELL[c] } | |
end | |
def sum(nums) | |
nums.inject(0) { |s, v| s + v } | |
end | |
def distributions(count, buckets) | |
return [[0] * buckets] if count == 0 | |
return [[count]] if buckets == 1 | |
(0..count).map do |first| | |
rest = distributions(count - first, buckets - 1) | |
rest.map { |r| [first] + r } | |
end.flatten(1) | |
end | |
def build_row(clues, gaps) | |
adjusted_gaps = gaps.map { |c| c + 1 } | |
adjusted_gaps[0] -= 1 | |
adjusted_gaps[-1] -= 1 | |
adjusted_gaps.zip(clues).map do |gap, clue| | |
[:empty] * gap + [:full] * (clue || 0) | |
end.flatten | |
end | |
def compatible?(row1, row2) | |
row1.zip(row2).none? do |c1, c2| | |
(c1 == :empty && c2 == :full) || (c1 == :full && c2 == :empty) | |
end | |
end | |
def merge(row1, row2) | |
row1.zip(row2).map { |c1, c2| (c1 == :unknown || c1 == c2) ? c2 : :multiple } | |
end | |
def row_to_string(r) | |
r.map { |c| CELL_TO_CHAR[c] }.join | |
end | |
row = expand_row ARGV[0].downcase | |
clues = ARGV[1..-1].map &:to_i | |
total_accounted_for = sum(clues) + (clues.length - 1) | |
total_missing = row.length - total_accounted_for | |
total_gaps = clues.length + 1 | |
possible_gaps = distributions(total_missing, total_gaps) | |
possible_rows = possible_gaps.map { |gaps| build_row(clues, gaps) } | |
compatible_rows = possible_rows.select { |r| compatible?(r, row) } | |
merged_row = compatible_rows.inject(row) { |comb, r| merge(comb, r) } | |
puts row_to_string(merged_row) |
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Marks-MacBook-Pro:code_scaps markjosef$ ruby nonagram_row.rb '_15' 13 1 | |
#############X# | |
Marks-MacBook-Pro:code_scaps markjosef$ ruby nonagram_row.rb '_15' 10 | |
_____#####_____ | |
Marks-MacBook-Pro:code_scaps markjosef$ ruby nonagram_row.rb '_15' 4 7 | |
___#____####___ | |
Marks-MacBook-Pro:code_scaps markjosef$ ruby nonagram_row.rb '_7#_7' 4 7 | |
__##___#####__X | |
Marks-MacBook-Pro:code_scaps markjosef$ ruby nonagram_row.rb '_7X_7' 4 7 | |
___#___X####### |
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