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# "3|4*5+6" => eval( [solve("3|4", ops), solve("5+6",ops) ].join("*") )
def solve( x, ops=%w( * + & | ) )
  return x if ops.empty?
  m=x.split(ops[0])
  terms = m.map{ |sub| solve(sub, ops.drop(1) ) }
  eval( terms.join(ops[0]) ).to_s
end

[
      # [ id, input, expected ],
    [ 0, "4*5+6&7|8", "44" ],    
    [ 1, "15*5", "75" ],    
    [ 2, "15+5", "20" ],    
    [ 3, "15&5", "5" ],    
    [ 4, "15|5", "15" ],    
    [ 5, "30*15*5", "2250" ],    
    [ 6, "30*15+5", "600" ],    
    [ 7, "30*15&5", "150" ],    
    [ 8, "30*15|5", "450" ],    
    [ 9, "30+15*5", "225" ],    
    [ 10, "30+15+5", "50" ],    
    [ 11, "30+15&5", "35" ],    
    [ 12, "30+15|5", "45" ],    
    [ 13, "30&15*5", "70" ],    
    [ 14, "30&15+5", "19" ],    
    [ 15, "30&15&5", "4" ],    
    [ 16, "30&15|5", "14" ],    
    [ 17, "30|15*5", "155" ],    
    [ 18, "30|15+5", "36" ],    
    [ 19, "30|15&5", "5" ],    
    [ 20, "30|15|5", "31" ],    
    [ 21, "1+2+3+4+5+6+7+8+9+10", "55" ],    
    [ 22, "1*2*3*4*5*6*7*8*9*10", "3628800" ],    
    [ 23, "1+2+3+4+5*6+7+8+9+10", "600" ],    
    [ 24, "1*2*3*4*5+6*7*8*9*10", "1330560" ],    
    [ 25, "1|2|4|8|16|32|64|128|256|512", "1023" ],    
    [ 26, "2046&2045&2043&2039&2031&2015&1983&1919&1791&1535", "1024" ],    
    [ 27, "0+1|7*6", "42" ],    
    [ 28, "6|4+2&9+4", "10" ],    
    [ 29, "0&6+1&6|4*2", "0" ],    
    [ 30, "4|4*7+7+4&9", "56" ],    
    [ 31, "9&8*2+3*1|2|7", "280" ],    
    [ 32, "230+83*751&176", "50080" ],    
    [ 33, "89+62465*94&84", "5254536" ],    
    [ 34, "668&925+398*562", "599092" ],    
    [ 35, "15|9+348*302&23&77", "1452" ],    
    [ 36, "3&3&6|7+3|5*3|2&4*4", "0" ],    
    [ 37, "7*6|7|7*1&7|7&3&8*3", "0" ],    
    [ 38, "896+316*209*264&728", "2026464" ],    
    [ 39, "1844+41*64|7906|66842", "138965970" ],    
    [ 40, "2&41&6884*69857+68083", "0" ],    
    [ 41, "2+3*9*3|6|7&0+3+3*6&8", "0" ],    
    [ 42, "895+400*988|549&237+488", "938875" ],    
    [ 43, "30*48&99036+140&33+75|645", "22050" ],    
    [ 44, "278+2033+53*96*56|3303|3&14", "3177216" ],    
    [ 45, "5380&27|643*2+1888&74+30|16", "0" ],    
    [ 46, "0&3845+6645*4293+78&78*3102|9|3", "90127550385" ],    
    [ 47, "78&44956&67*974|413+13237*5588|54*668", "0" ],    
    [ 48, "500*206+145|167|163|465&668+662+806*681&458", "123896000" ],    
    [ 49, "82+14&0*344+34+542916&18*11|844|64*873223|840993", "23813260003764" ],    
    [ 50, "374958|6727+53965&53*954&29|6*138572+59|547783&43*8998", "12178274756590800" ],    
].each do |ix,src,expected|
  actual = solve(src)
  (actual == expected).tap do |ok|
    puts '***NG*** : %s %s->%s ( %s )' % [id, src, actual, expected] unless ok
  end
end.all?.tap { |r| puts(r ? 'ok' : 'NG') }