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exclusive = ->*ns {ns.flat_map{|n| n.divmod 10}.uniq.size == ns.size * 2}
a = (1..12).select {|m| exclusive.(m)}.each_with_object([]) {|m, a|
  (1..31).select {|d| exclusive.(m, d)}.each {|d|
    (0..23).select {|h| exclusive.(m, d, h)}.each {|h|
      (0..59).select {|n| exclusive.(m, d, h, n)}.each {|n|
        (0..59).select {|s| exclusive.(m, d, h, n, s)}.each {|s|
          a << [m, d, h, n, s]}}}}}
p a.size
puts a.map {|t| Time.utc 2018, *t}

Success #stdin #stdout 0.27s 28752KB

stdin

Standard input is empty

stdout

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