THE YEAR PUZZLE (program by Heiner Marxen)
Version: $Revision: 1.18 $ $Date: 2006/02/01 17:22:10 $
Target signature = 5555
Without permutation of signature digits.
Intermediate (de)nominator range = -500000 .. 500000
Result range = 0 .. 200
With standard binary operators: + - * /
With standard  unary operators: - sqrt
With parentheses.
With concatenation.
With exponentiation (^).
With factorial (!).
With even/odd factorial (!!).
With decimal point.
Could not solve 25 of 201 values [12.4%].
     0 = 55-55
     1 = 55/55
     2 = 5/5+5/5
     3 = 5-(5+5)/5
     4 = (5*5-5)/5
     5 = 5+5*(5-5)
     6 = 55/5-5
     7 = 5+(5+5)/5
     8 = 5!/(5+5+5)
     9 = 5+5-5/5
    10 = 5+5+5-5
    11 = 5+5+5/5
    12 = (5+55)/5
    13 = (5!-55)/5
    14 = 5!/5-5-5
    15 = 5*5-5-5
    16 = 5+55/5
    17 = 5+5!/(5+5)
    18 = (5!-5)/5-5
    19 = (5!-5*5)/5
    20 = 5+5+5+5
    21 = 5!!+5+5/5
    22 = (5!-5-5)/5
    23 = 5!/5-5/5
    24 = 5*5-5/5
    25 = 5+5*5-5
    26 = 5*5+5/5
    27 = 5!/5+5!!/5
    28 = 5+(5!-5)/5
    29 = 5+(5-5/5)!
    30 = 55-5*5
    31 = 55-5!/5
    32 = ((5+5)/5)^5
    33 = 5*5+5!/5!!
    34 = 5+5+5!/5
    35 = 5+5+5*5
    36 = 5!!+(5!-5!!)/5
    37 = 555/5!!
    38 = 5!!+(5!-5)/5
    39 = 5!!+(5-5/5)!
    40 = 5!-5-5!!*5
    41 = (5!!+5!*5)/5!!
    42 = 5!!+(5!!+5!)/5
    43 = (5!+5!)/5-5
    44 = 5!!+5+5!/5
    45 = 55-5-5
    46 = (5+5!!*5!!)/5
    47 = (5!+5!-5)/5
    48 = 5!/5+5!/5
    49 = 5*5+5!/5
    50 = 5*5+5*5
    51 = 5!!*5-5!/5
    52 = 55-5!!/5
    53 = 5+(5!+5!)/5
    54 = 55-5/5
    55 = 5+55-5
    56 = 5/5+55
    57 = 5!-5!!-((5!!/5)!)!!
    58 = 5!!/5+55
    59 = .5*5!-5/5
    60 = sqrt(5*5)+55
    61 = (5!!/5)!+55
    62 = .5*(5!+5)-.5
    63 = 5!/5!!+55
    64 = 5!*5!/5!!/5!!
    65 = 5+5+55
    66 = sqrt(5*5)!*.55
    67 = 5!!*5-5!/5!!
    68 = 5!!+5+((5!!/5)!)!!
    69 = 5!!*5-(5!!/5)!
    70 = 5!+5-55
    71 = 5+5!*.55
    72 = 5!-(5!+5!)/5
    73 = 5*5+((5!!/5)!)!!
    74 = 5!!*5-5/5
    75 = 5*(5+5+5)
    76 = 5!!*5+5/5
    77 = 5!+5-((5!!/5)!)!!
    78 = 5!!/5+5!!*5
    79 = 5!/5+55
    80 = 5*5+55
    81 = 5!-5!!-5!/5
    82 = 5!!*5.5-.5
    83 = 5!/5!!+5!!*5
    84 = 5!/5+.5*5!
    85 = 5+5+5!!*5
    86 = (((5!!/5)!)!!-5)/.5
    87 = 5!!+5!-((5!!/5)!)!!
    88 = 5!-(5+5)!!/5!
    89 = 5!-(.5+5!!)/.5
    90 = 5!-5-5*5
    91 = 5!-5-5!/5
    92 = .5^(-5)+.5*5!
    93 = 5!-(5!!+5!)/5
    94 = (5!!+.5^(-5))/.5
    95 = 5*(5!/5-5)
    96 = 5!-(5-5/5)!
    97 = 5!-(5!-5)/5
    98 = ?
    99 = 5!/5+5!!*5
   100 = 5*(5*5-5)
   101 = 5!+5-5!/5
   102 = 5!-5!!-5!!/5
   103 = ((5!!/5)!)!!+55
   104 = 5!-5!!-5/5
   105 = 5!-5-5-5
   106 = 5!+5/5-5!!
   107 = 5!-5-5!/5!!
   108 = 5!-5!/(5+5)
   109 = 5!-55/5
   110 = 55+55
   111 = 555/5
   112 = 5!-5-5!!/5
   113 = 5!+5!/5!!-5!!
   114 = 5!-5-5/5
   115 = 5!+5-5-5
   116 = 5!+5/5-5
   117 = 5!+5-5!/5!!
   118 = 5!-(5+5)/5
   119 = 5!-5^(5-5)
   120 = 5*5*5-5
   121 = 5!+5^(5-5)
   122 = 5!+(5+5)/5
   123 = 5!+5!/5!!-5
   124 = 5!+5-5/5
   125 = 5^5/5/5
   126 = 5!+5+5/5
   127 = 5!!+5!-5!/5!!
   128 = 5!+5+5!!/5
   129 = 5!+5!/5-5!!
   130 = 5+5*5*5
   131 = 5!+55/5
   132 = 5!+5!/(5+5)
   133 = 5!+5+5!/5!!
   134 = 5!!+5!-5/5
   135 = 5!+5+5+5
   136 = 5!!+5!+5/5
   137 = 5!+.5^(-5)-5!!
   138 = 5!!+5!+5!!/5
   139 = 5!+5!/5-5
   140 = 5!+5*5-5
   141 = 5!+(5!-5!!)/5
   142 = ?
   143 = 5!+(5!-5)/5
   144 = 5!+(5-5/5)!
   145 = 5*(5+5!/5)
   146 = ?
   147 = 5!+(5!!+5!)/5
   148 = ?
   149 = 5!+5+5!/5
   150 = 5*(5+5*5)
   151 = (.5+5!!*5)/.5
   152 = 5!+(5+5)!!/5!
   153 = 5!+((5!!/5)!)!!-5!!
   154 = ?
   155 = 5*55-5!
   156 = ?
   157 = 5!+5+.5^(-5)
   158 = ?
   159 = 5!!+5!+5!/5
   160 = 5!+55-5!!
   161 = ?
   162 = ?
   163 = 5!+((5!!/5)!)!!-5
   164 = ?
   165 = 5!!*55/5
   166 = ?
   167 = 5!!+5!+.5^(-5)
   168 = 5!+(5!+5!)/5
   169 = ?
   170 = 5!+55-5
   171 = ?
   172 = ?
   173 = 5!+5+((5!!/5)!)!!
   174 = ?
   175 = sqrt(5*5)!+55
   176 = 5.5/.5^5
   177 = 5!!*5!!-((5!!/5)!)!!
   178 = ?
   179 = ?
   180 = 5!+5+55
   181 = ?
   182 = ?
   183 = 5!!+5!+((5!!/5)!)!!
   184 = 5!+.5^(-5)/.5
   185 = 5!+5!-55
   186 = 5!+5!*.55
   187 = .5*(5!/5!!)!!-5
   188 = ?
   189 = (5!/5-5!!)!!/5
   190 = 5!!+5!+55
   191 = ?
   192 = 5!*5!/5/5!!
   193 = 5!!*5!!-.5^(-5)
   194 = ?
   195 = 5*(5!!+5!/5)
   196 = ?
   197 = 5+.5*(5!/5!!)!!
   198 = ?
   199 = ?
   200 = 5!+5+5!!*5