THE YEAR PUZZLE (program by Heiner Marxen)
Version: $Revision: 1.18 $ $Date: 2006/02/01 17:22:10 $
Target signature = 2005
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 77 of 201 values [38.3%].
     0 = 20*0*5
     1 = 2^0+0*5
     2 = 2+0+0*5
     3 = -2+0+0+5
     4 = 20/(0+5)
     5 = 20*0+5
     6 = 20^0+5
     7 = 2+0+0+5
     8 = 2+0!+0+5
     9 = 2+0!+0!+5
    10 = 2*(0+0+5)
    11 = sqrt(20^0+5!)
    12 = 2*(0!+0+5)
    13 = 2+sqrt(0!+0+5!)
    14 = 20-0!-5
    15 = 20+0-5
    16 = 20+0!-5
    17 = (2+0!)!+sqrt(0!+5!)
    18 = 20-sqrt(-0!+5)
    19 = 20-0!^5
    20 = 20+0*5
    21 = 20+0!^5
    22 = 20+sqrt(-0!+5)
    23 = -2^0+(-0!+5)!
    24 = 20-0!+5
    25 = 20+0+5
    26 = 20+0!+5
    27 = 2+0!+(-0!+5)!
    28 = 2*(0-0!+5!!)
    29 = (2+0!+0!)!+5
    30 = (2+0!+0)!*5
    31 = 20+sqrt(0!+5!)
    32 = 2^(0+0+5)
    33 = (2+0!)*sqrt(0!+5!)
    34 = 2+(0!+0!)^5
    35 = ((2+0!)!+0!)*5
    36 = (2+0!)!*(0!+5)
    37 = ((2+0!)!)!!-sqrt(0!+5!)
    38 = (20-0!)/.5
    39 = (2+0!+0!)!+5!!
    40 = 200/5
    41 = ?
    42 = ((2+0!)!+0!)!/5!
    43 = ((2+0!)!)!!+0-5
    44 = 20+(-0!+5)!
    45 = (2+0!+0)*5!!
    46 = -2*(0!-(-0!+5)!)
    47 = -2^0+(0!+5)!!
    48 = 2*(0-0!+5)!
    49 = 2^0+(0!+5)!!
    50 = 2*(0!+(-0!+5)!)
    51 = 2+0!+(0!+5)!!
    52 = ((2+0!)!)!!-0!+5
    53 = ((2+0!)!)!!+0+5
    54 = ((2+0!)!)!!+0!+5
    55 = .2^(-0!)*sqrt(0!+5!)
    56 = ((2+0!)!)!!+(-0!+5)!!
    57 = ?
    58 = ?
    59 = ((2+0!)!)!!+sqrt(0!+5!)
    60 = 2^(0-0!)*5!
    61 = ?
    62 = ((2+0!)!)!!-0!+5!!
    63 = ((2+0!)!)!!+0+5!!
    64 = 2^(0!+0+5)
    65 = ?
    66 = (2+0!)!*sqrt(0!+5!)
    67 = ?
    68 = 20+(0!+5)!!
    69 = ?
    70 = -.2^(-0!)*(0!-5!!)
    71 = -((2+0!)!)!!-0!+5!
    72 = (2+0!)*(-0!+5)!
    73 = -((2+0!)!)!!+0!+5!
    74 = ?
    75 = ((2+0!)!-0!)!!*5
    76 = ?
    77 = .2*(0!+((-0!+5)!!)!!)
    78 = ?
    79 = ?
    80 = 200-5!
    81 = (2+0!)^(-0!+5)
    82 = ?
    83 = ?
    84 = -(2+0!)!*(0!-5!!)
    85 = ?
    86 = ?
    87 = ?
    88 = ?
    89 = ?
    90 = (2+0!+0)!*5!!
    91 = ?
    92 = ?
    93 = ?
    94 = -2*(0!-(0!+5)!!)
    95 = (20-0!)*5
    96 = -(2+0!+0!)!+5!
    97 = ?
    98 = 2*(0!+(0!+5)!!)
    99 = -20-0!+5!
   100 = 20*(0+5)
   101 = -20+0!+5!
   102 = ?
   103 = -2+(0!+0!+5)!!
   104 = (.2^(-0!))!-0!-5!!
   105 = (20+0!)*5
   106 = (.2^(-0!))!+0!-5!!
   107 = 2+(0!+0!+5)!!
   108 = ?
   109 = (.2^(-0!))!-sqrt(0!+5!)
   110 = ((2+0!)!+0!)!!+5
   111 = ?
   112 = -(2+0!+0!)!!+5!
   113 = -(2+0!)!-0!+5!
   114 = -(2+0!)!+0+5!
   115 = -(2+0!)!+0!+5!
   116 = -2-0!-0!+5!
   117 = -2+0-0!+5!
   118 = -2+0+0+5!
   119 = -20^0+5!
   120 = 20^0*5!
   121 = 20^0+5!
   122 = 2+0+0+5!
   123 = 2+0!+0+5!
   124 = 2+0!+0!+5!
   125 = (2+0!)!-0!+5!
   126 = (2+0!)!+0+5!
   127 = (2+0!)!+0!+5!
   128 = 2^(0!+0!+5)
   129 = ?
   130 = ?
   131 = (.2^(-0!))!+sqrt(0!+5!)
   132 = ?
   133 = ?
   134 = (.2^(-0!))!!-0!+5!
   135 = ((2+0!)!-0!)!!+5!
   136 = (.2^(-0!))!!+0!+5!
   137 = ?
   138 = ?
   139 = 20-0!+5!
   140 = 20+0+5!
   141 = 20+0!+5!
   142 = ?
   143 = ?
   144 = (2+0!+0!)!+5!
   145 = .2^(-0!-0!)+5!
   146 = ?
   147 = ?
   148 = ?
   149 = ?
   150 = (-.2+0!)^(-0!)*5!
   151 = ?
   152 = ?
   153 = ?
   154 = ?
   155 = ?
   156 = ?
   157 = ?
   158 = ?
   159 = ?
   160 = 20*(-0!+5)!!
   161 = ?
   162 = ?
   163 = ?
   164 = ?
   165 = (.2^(-0!))!!*sqrt(0!+5!)
   166 = ?
   167 = ((2+0!)!)!!-0!+5!
   168 = ((2+0!)!)!!+0+5!
   169 = ((2+0!)!)!!+0!+5!
   170 = ?
   171 = ?
   172 = ?
   173 = ?
   174 = ?
   175 = ?
   176 = ?
   177 = ?
   178 = ?
   179 = ?
   180 = (2^(-0!)+0!)*5!
   181 = ?
   182 = ?
   183 = ?
   184 = ?
   185 = 200-5!!
   186 = ?
   187 = ?
   188 = ?
   189 = .2*(0!+(-0!+5)!!)!!
   190 = ?
   191 = ?
   192 = -((2+0!)!)!!*(0!-5)
   193 = ?
   194 = ?
   195 = 200-5
   196 = ?
   197 = ?
   198 = ?
   199 = ?
   200 = ?