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def safe?(col, others) | |
others.each_with_index do |c, r| | |
return false if col == c or (col - c).abs == (others.size - r).abs | |
end | |
end | |
def solve(n, solutions = [], cols=[]) | |
return solutions.push(cols) unless cols.size < n | |
n.times { |col| solve(n, solutions, cols + [col]) if safe?(col, cols) } | |
return solutions | |
end | |
def show_solutions(n) | |
solutions = solve(n) | |
puts "There are #{solutions.size} solutions for n = #{n}." | |
for cols in solutions | |
puts '', cols.map { |c| (0...n).map { |i| i == c ? '$ ' : '0 ' }.join } | |
end | |
end | |
show_solutions(6) |