array [1..10] of int: column_tallies = [2, 2, 0, 5, 0, 1, 3, 2, 2, 3];
array [1..100] of int: hint = [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 7, 7, 6, 7, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 7, 0, 7, 6, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 0, 7, 7, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 7, 1, 7, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7];
array [1..10] of int: row_tallies = [1, 5, 1, 4, 0, 3, 1, 1, 3, 1];
var bool: BOOL____00001 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00002 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00003 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00004 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00005 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00006 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00007 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00008 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00009 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00010 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00011 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00012 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00013 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00014 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00015 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00016 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00017 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00018 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00019 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00020 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00021 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00022 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00023 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00024 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00025 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00026 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00027 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00028 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00029 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00030 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00031 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00032 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00033 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00034 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00035 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00037 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00038 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00039 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00040 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00041 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00042 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00043 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00044 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00045 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00046 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00047 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00048 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00049 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00050 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00051 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00052 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00053 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00055 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00056 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00057 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00058 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00059 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00060 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00061 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00062 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00063 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00064 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00065 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00066 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00067 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00068 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00069 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00070 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00071 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00072 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00073 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00074 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00075 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00076 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00077 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00078 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00079 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00080 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00081 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00082 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00083 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00084 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00085 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00086 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00087 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00088 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00089 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00090 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00091 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00092 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00093 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00094 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00095 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00096 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00097 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00098 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00099 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00100 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00101 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00102 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00103 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00104 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00105 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00106 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00107 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00108 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00109 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00110 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00111 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00112 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00113 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00114 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00115 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00116 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00117 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00118 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00120 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00121 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00122 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00123 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00124 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00125 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00126 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00127 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00128 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00129 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00130 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00131 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00132 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00133 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00134 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00135 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00136 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00137 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00138 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00139 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00140 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00141 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00142 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00143 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00144 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00145 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00146 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00147 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00148 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00149 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00150 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00151 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00152 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00153 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00154 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00155 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00156 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00157 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00158 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00159 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00160 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00161 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00162 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00163 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00164 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00165 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00166 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00167 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00168 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00169 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00170 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00171 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00172 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00173 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00174 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00175 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00176 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00177 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00178 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00179 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00180 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00181 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00182 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00183 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00184 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00185 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00186 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00187 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00188 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00189 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00190 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00191 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00192 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00193 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00194 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00195 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00196 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00197 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00199 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00200 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00203 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00204 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00205 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00206 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00207 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00208 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00209 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00210 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00211 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00212 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00213 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00214 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00215 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00216 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00217 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00218 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00219 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00220 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00221 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00222 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00223 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00224 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00225 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00226 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00227 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00228 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00229 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00230 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00231 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00232 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00233 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00234 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00235 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00236 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00237 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00238 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00239 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00240 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00241 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00242 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00243 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00244 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00245 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00246 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00248 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00249 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00250 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00251 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00252 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00253 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00254 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00255 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00256 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00257 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00258 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00259 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00260 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00261 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00262 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00263 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00264 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00265 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00266 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00267 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00268 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00269 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00270 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00271 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00272 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00273 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00274 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00275 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00276 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00277 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00278 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00279 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00280 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00281 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00282 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00283 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00284 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00285 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00286 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00287 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00288 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00289 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00290 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00291 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00292 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00293 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00294 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00295 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00296 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00297 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00298 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00299 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00300 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00301 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00302 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00303 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00304 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00305 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00306 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00307 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00308 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00309 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00310 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00311 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00312 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00313 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00314 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00315 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00316 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00317 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00318 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00319 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00320 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00321 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00322 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00323 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00324 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00325 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00326 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00327 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00328 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00329 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00330 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00331 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00332 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00333 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00334 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00335 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00336 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00337 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00338 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00339 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00340 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00341 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00342 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00343 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00344 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00345 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00346 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00347 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00348 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00349 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00350 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00351 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00352 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00353 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00354 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00355 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00356 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00357 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00358 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00359 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00360 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00361 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00362 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00363 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00364 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00365 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00366 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00367 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00368 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00369 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00370 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00371 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00372 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00373 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00374 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00375 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00376 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00377 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00378 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00379 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00380 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00381 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00382 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00383 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00384 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00385 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00386 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00387 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00388 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00389 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00390 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00391 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00392 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00393 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00394 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00395 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00396 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00397 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00398 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00399 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00400 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00401 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00402 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00403 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00404 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00405 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00406 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00407 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00408 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00409 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00410 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00411 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00412 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00413 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00414 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00415 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00416 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00417 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00418 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00419 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00420 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00421 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00422 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00423 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00424 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00425 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00426 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00427 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00428 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00429 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00430 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00431 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00432 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00433 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00434 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00435 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00436 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00437 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00438 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00439 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00440 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00441 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00442 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00443 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00444 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00445 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00446 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00447 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00448 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00449 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00450 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00451 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00452 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00453 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00454 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00455 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00456 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00457 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00458 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00459 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00460 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00461 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00462 :: is_defined_var :: var_is_introduced;
var bool: BOOL____00463 :: is_defined_var :: var_is_introduced;
array [1..100] of var 0..1: grid :: output_array([1..10, 1..10]);
constraint array_bool_and([true, BOOL____00178], BOOL____00414) :: defines_var(BOOL____00414);
constraint array_bool_and([true, BOOL____00200], BOOL____00444) :: defines_var(BOOL____00444);
constraint array_bool_and([BOOL____00101, BOOL____00103], BOOL____00221) :: defines_var(BOOL____00221);
constraint array_bool_and([BOOL____00102, BOOL____00104], BOOL____00250) :: defines_var(BOOL____00250);
constraint array_bool_and([BOOL____00103, BOOL____00105], BOOL____00278) :: defines_var(BOOL____00278);
constraint array_bool_and([BOOL____00104, BOOL____00106], BOOL____00306) :: defines_var(BOOL____00306);
constraint array_bool_and([BOOL____00105, BOOL____00107], BOOL____00334) :: defines_var(BOOL____00334);
constraint array_bool_and([BOOL____00106, BOOL____00108], BOOL____00362) :: defines_var(BOOL____00362);
constraint array_bool_and([BOOL____00107, BOOL____00109], BOOL____00390) :: defines_var(BOOL____00390);
constraint array_bool_and([BOOL____00108, BOOL____00110], BOOL____00418) :: defines_var(BOOL____00418);
constraint array_bool_and([BOOL____00111, BOOL____00113], BOOL____00223) :: defines_var(BOOL____00223);
constraint array_bool_and([BOOL____00112, BOOL____00114], BOOL____00252) :: defines_var(BOOL____00252);
constraint array_bool_and([BOOL____00113, BOOL____00115], BOOL____00280) :: defines_var(BOOL____00280);
constraint array_bool_and([BOOL____00114, BOOL____00116], BOOL____00308) :: defines_var(BOOL____00308);
constraint array_bool_and([BOOL____00115, BOOL____00117], BOOL____00336) :: defines_var(BOOL____00336);
constraint array_bool_and([BOOL____00116, BOOL____00118], BOOL____00364) :: defines_var(BOOL____00364);
constraint array_bool_and([BOOL____00117, true], BOOL____00392) :: defines_var(BOOL____00392);
constraint array_bool_and([BOOL____00118, BOOL____00120], BOOL____00420) :: defines_var(BOOL____00420);
constraint array_bool_and([BOOL____00121, BOOL____00101], BOOL____00204) :: defines_var(BOOL____00204);
constraint array_bool_and([BOOL____00121, BOOL____00123], BOOL____00226) :: defines_var(BOOL____00226);
constraint array_bool_and([BOOL____00122, BOOL____00102], BOOL____00224) :: defines_var(BOOL____00224);
constraint array_bool_and([BOOL____00122, BOOL____00124], BOOL____00255) :: defines_var(BOOL____00255);
constraint array_bool_and([BOOL____00123, BOOL____00103], BOOL____00253) :: defines_var(BOOL____00253);
constraint array_bool_and([BOOL____00123, BOOL____00125], BOOL____00283) :: defines_var(BOOL____00283);
constraint array_bool_and([BOOL____00124, BOOL____00104], BOOL____00281) :: defines_var(BOOL____00281);
constraint array_bool_and([BOOL____00124, BOOL____00126], BOOL____00311) :: defines_var(BOOL____00311);
constraint array_bool_and([BOOL____00125, BOOL____00105], BOOL____00309) :: defines_var(BOOL____00309);
constraint array_bool_and([BOOL____00125, BOOL____00127], BOOL____00339) :: defines_var(BOOL____00339);
constraint array_bool_and([BOOL____00126, BOOL____00106], BOOL____00337) :: defines_var(BOOL____00337);
constraint array_bool_and([BOOL____00126, BOOL____00128], BOOL____00367) :: defines_var(BOOL____00367);
constraint array_bool_and([BOOL____00127, BOOL____00107], BOOL____00365) :: defines_var(BOOL____00365);
constraint array_bool_and([BOOL____00127, BOOL____00129], BOOL____00395) :: defines_var(BOOL____00395);
constraint array_bool_and([BOOL____00128, BOOL____00108], BOOL____00393) :: defines_var(BOOL____00393);
constraint array_bool_and([BOOL____00128, BOOL____00130], BOOL____00423) :: defines_var(BOOL____00423);
constraint array_bool_and([BOOL____00129, BOOL____00109], BOOL____00421) :: defines_var(BOOL____00421);
constraint array_bool_and([BOOL____00130, BOOL____00110], BOOL____00447) :: defines_var(BOOL____00447);
constraint array_bool_and([BOOL____00131, BOOL____00111], BOOL____00206) :: defines_var(BOOL____00206);
constraint array_bool_and([BOOL____00131, BOOL____00133], BOOL____00229) :: defines_var(BOOL____00229);
constraint array_bool_and([BOOL____00132, BOOL____00112], BOOL____00227) :: defines_var(BOOL____00227);
constraint array_bool_and([BOOL____00132, BOOL____00134], BOOL____00258) :: defines_var(BOOL____00258);
constraint array_bool_and([BOOL____00133, BOOL____00113], BOOL____00256) :: defines_var(BOOL____00256);
constraint array_bool_and([BOOL____00133, BOOL____00135], BOOL____00286) :: defines_var(BOOL____00286);
constraint array_bool_and([BOOL____00134, BOOL____00114], BOOL____00284) :: defines_var(BOOL____00284);
constraint array_bool_and([BOOL____00134, BOOL____00136], BOOL____00314) :: defines_var(BOOL____00314);
constraint array_bool_and([BOOL____00135, BOOL____00115], BOOL____00312) :: defines_var(BOOL____00312);
constraint array_bool_and([BOOL____00135, BOOL____00137], BOOL____00342) :: defines_var(BOOL____00342);
constraint array_bool_and([BOOL____00136, BOOL____00116], BOOL____00340) :: defines_var(BOOL____00340);
constraint array_bool_and([BOOL____00136, BOOL____00138], BOOL____00370) :: defines_var(BOOL____00370);
constraint array_bool_and([BOOL____00137, BOOL____00117], BOOL____00368) :: defines_var(BOOL____00368);
constraint array_bool_and([BOOL____00137, BOOL____00139], BOOL____00398) :: defines_var(BOOL____00398);
constraint array_bool_and([BOOL____00138, BOOL____00118], BOOL____00396) :: defines_var(BOOL____00396);
constraint array_bool_and([BOOL____00138, BOOL____00140], BOOL____00426) :: defines_var(BOOL____00426);
constraint array_bool_and([BOOL____00139, true], BOOL____00424) :: defines_var(BOOL____00424);
constraint array_bool_and([BOOL____00140, BOOL____00120], BOOL____00449) :: defines_var(BOOL____00449);
constraint array_bool_and([BOOL____00141, BOOL____00121], BOOL____00208) :: defines_var(BOOL____00208);
constraint array_bool_and([BOOL____00141, BOOL____00143], BOOL____00232) :: defines_var(BOOL____00232);
constraint array_bool_and([BOOL____00142, BOOL____00122], BOOL____00230) :: defines_var(BOOL____00230);
constraint array_bool_and([BOOL____00142, BOOL____00144], BOOL____00261) :: defines_var(BOOL____00261);
constraint array_bool_and([BOOL____00143, BOOL____00123], BOOL____00259) :: defines_var(BOOL____00259);
constraint array_bool_and([BOOL____00143, BOOL____00145], BOOL____00289) :: defines_var(BOOL____00289);
constraint array_bool_and([BOOL____00144, BOOL____00124], BOOL____00287) :: defines_var(BOOL____00287);
constraint array_bool_and([BOOL____00144, BOOL____00146], BOOL____00317) :: defines_var(BOOL____00317);
constraint array_bool_and([BOOL____00145, BOOL____00125], BOOL____00315) :: defines_var(BOOL____00315);
constraint array_bool_and([BOOL____00145, BOOL____00147], BOOL____00345) :: defines_var(BOOL____00345);
constraint array_bool_and([BOOL____00146, BOOL____00126], BOOL____00343) :: defines_var(BOOL____00343);
constraint array_bool_and([BOOL____00146, BOOL____00148], BOOL____00373) :: defines_var(BOOL____00373);
constraint array_bool_and([BOOL____00147, BOOL____00127], BOOL____00371) :: defines_var(BOOL____00371);
constraint array_bool_and([BOOL____00147, BOOL____00149], BOOL____00401) :: defines_var(BOOL____00401);
constraint array_bool_and([BOOL____00148, BOOL____00128], BOOL____00399) :: defines_var(BOOL____00399);
constraint array_bool_and([BOOL____00148, BOOL____00150], BOOL____00429) :: defines_var(BOOL____00429);
constraint array_bool_and([BOOL____00149, BOOL____00129], BOOL____00427) :: defines_var(BOOL____00427);
constraint array_bool_and([BOOL____00150, BOOL____00130], BOOL____00451) :: defines_var(BOOL____00451);
constraint array_bool_and([BOOL____00151, BOOL____00131], BOOL____00210) :: defines_var(BOOL____00210);
constraint array_bool_and([BOOL____00151, BOOL____00153], BOOL____00235) :: defines_var(BOOL____00235);
constraint array_bool_and([BOOL____00152, BOOL____00132], BOOL____00233) :: defines_var(BOOL____00233);
constraint array_bool_and([BOOL____00152, BOOL____00154], BOOL____00264) :: defines_var(BOOL____00264);
constraint array_bool_and([BOOL____00153, BOOL____00133], BOOL____00262) :: defines_var(BOOL____00262);
constraint array_bool_and([BOOL____00153, BOOL____00155], BOOL____00292) :: defines_var(BOOL____00292);
constraint array_bool_and([BOOL____00154, BOOL____00134], BOOL____00290) :: defines_var(BOOL____00290);
constraint array_bool_and([BOOL____00154, BOOL____00156], BOOL____00320) :: defines_var(BOOL____00320);
constraint array_bool_and([BOOL____00155, BOOL____00135], BOOL____00318) :: defines_var(BOOL____00318);
constraint array_bool_and([BOOL____00155, BOOL____00157], BOOL____00348) :: defines_var(BOOL____00348);
constraint array_bool_and([BOOL____00156, BOOL____00136], BOOL____00346) :: defines_var(BOOL____00346);
constraint array_bool_and([BOOL____00156, BOOL____00158], BOOL____00376) :: defines_var(BOOL____00376);
constraint array_bool_and([BOOL____00157, BOOL____00137], BOOL____00374) :: defines_var(BOOL____00374);
constraint array_bool_and([BOOL____00157, BOOL____00159], BOOL____00404) :: defines_var(BOOL____00404);
constraint array_bool_and([BOOL____00158, BOOL____00138], BOOL____00402) :: defines_var(BOOL____00402);
constraint array_bool_and([BOOL____00158, BOOL____00160], BOOL____00432) :: defines_var(BOOL____00432);
constraint array_bool_and([BOOL____00159, BOOL____00139], BOOL____00430) :: defines_var(BOOL____00430);
constraint array_bool_and([BOOL____00160, BOOL____00140], BOOL____00453) :: defines_var(BOOL____00453);
constraint array_bool_and([BOOL____00161, BOOL____00141], BOOL____00212) :: defines_var(BOOL____00212);
constraint array_bool_and([BOOL____00161, BOOL____00163], BOOL____00238) :: defines_var(BOOL____00238);
constraint array_bool_and([BOOL____00162, BOOL____00142], BOOL____00236) :: defines_var(BOOL____00236);
constraint array_bool_and([BOOL____00162, BOOL____00164], BOOL____00267) :: defines_var(BOOL____00267);
constraint array_bool_and([BOOL____00163, BOOL____00143], BOOL____00265) :: defines_var(BOOL____00265);
constraint array_bool_and([BOOL____00163, BOOL____00165], BOOL____00295) :: defines_var(BOOL____00295);
constraint array_bool_and([BOOL____00164, BOOL____00144], BOOL____00293) :: defines_var(BOOL____00293);
constraint array_bool_and([BOOL____00164, BOOL____00166], BOOL____00323) :: defines_var(BOOL____00323);
constraint array_bool_and([BOOL____00165, BOOL____00145], BOOL____00321) :: defines_var(BOOL____00321);
constraint array_bool_and([BOOL____00165, BOOL____00167], BOOL____00351) :: defines_var(BOOL____00351);
constraint array_bool_and([BOOL____00166, BOOL____00146], BOOL____00349) :: defines_var(BOOL____00349);
constraint array_bool_and([BOOL____00166, BOOL____00168], BOOL____00379) :: defines_var(BOOL____00379);
constraint array_bool_and([BOOL____00167, BOOL____00147], BOOL____00377) :: defines_var(BOOL____00377);
constraint array_bool_and([BOOL____00167, BOOL____00169], BOOL____00407) :: defines_var(BOOL____00407);
constraint array_bool_and([BOOL____00168, BOOL____00148], BOOL____00405) :: defines_var(BOOL____00405);
constraint array_bool_and([BOOL____00168, BOOL____00170], BOOL____00435) :: defines_var(BOOL____00435);
constraint array_bool_and([BOOL____00169, BOOL____00149], BOOL____00433) :: defines_var(BOOL____00433);
constraint array_bool_and([BOOL____00170, BOOL____00150], BOOL____00455) :: defines_var(BOOL____00455);
constraint array_bool_and([BOOL____00171, BOOL____00151], BOOL____00214) :: defines_var(BOOL____00214);
constraint array_bool_and([BOOL____00171, BOOL____00173], BOOL____00241) :: defines_var(BOOL____00241);
constraint array_bool_and([BOOL____00172, BOOL____00152], BOOL____00239) :: defines_var(BOOL____00239);
constraint array_bool_and([BOOL____00172, BOOL____00174], BOOL____00270) :: defines_var(BOOL____00270);
constraint array_bool_and([BOOL____00173, BOOL____00153], BOOL____00268) :: defines_var(BOOL____00268);
constraint array_bool_and([BOOL____00173, BOOL____00175], BOOL____00298) :: defines_var(BOOL____00298);
constraint array_bool_and([BOOL____00174, BOOL____00154], BOOL____00296) :: defines_var(BOOL____00296);
constraint array_bool_and([BOOL____00174, BOOL____00176], BOOL____00326) :: defines_var(BOOL____00326);
constraint array_bool_and([BOOL____00175, BOOL____00155], BOOL____00324) :: defines_var(BOOL____00324);
constraint array_bool_and([BOOL____00175, BOOL____00177], BOOL____00354) :: defines_var(BOOL____00354);
constraint array_bool_and([BOOL____00176, BOOL____00156], BOOL____00352) :: defines_var(BOOL____00352);
constraint array_bool_and([BOOL____00176, BOOL____00178], BOOL____00382) :: defines_var(BOOL____00382);
constraint array_bool_and([BOOL____00177, BOOL____00157], BOOL____00380) :: defines_var(BOOL____00380);
constraint array_bool_and([BOOL____00177, BOOL____00179], BOOL____00410) :: defines_var(BOOL____00410);
constraint array_bool_and([BOOL____00178, BOOL____00158], BOOL____00408) :: defines_var(BOOL____00408);
constraint array_bool_and([BOOL____00178, BOOL____00180], BOOL____00438) :: defines_var(BOOL____00438);
constraint array_bool_and([BOOL____00179, BOOL____00159], BOOL____00436) :: defines_var(BOOL____00436);
constraint array_bool_and([BOOL____00180, BOOL____00160], BOOL____00457) :: defines_var(BOOL____00457);
constraint array_bool_and([BOOL____00181, BOOL____00161], BOOL____00216) :: defines_var(BOOL____00216);
constraint array_bool_and([BOOL____00181, BOOL____00183], BOOL____00244) :: defines_var(BOOL____00244);
constraint array_bool_and([BOOL____00182, BOOL____00162], BOOL____00242) :: defines_var(BOOL____00242);
constraint array_bool_and([BOOL____00182, BOOL____00184], BOOL____00273) :: defines_var(BOOL____00273);
constraint array_bool_and([BOOL____00183, BOOL____00163], BOOL____00271) :: defines_var(BOOL____00271);
constraint array_bool_and([BOOL____00183, BOOL____00185], BOOL____00301) :: defines_var(BOOL____00301);
constraint array_bool_and([BOOL____00184, BOOL____00164], BOOL____00299) :: defines_var(BOOL____00299);
constraint array_bool_and([BOOL____00184, BOOL____00186], BOOL____00329) :: defines_var(BOOL____00329);
constraint array_bool_and([BOOL____00185, BOOL____00165], BOOL____00327) :: defines_var(BOOL____00327);
constraint array_bool_and([BOOL____00185, BOOL____00187], BOOL____00357) :: defines_var(BOOL____00357);
constraint array_bool_and([BOOL____00186, BOOL____00166], BOOL____00355) :: defines_var(BOOL____00355);
constraint array_bool_and([BOOL____00186, BOOL____00188], BOOL____00385) :: defines_var(BOOL____00385);
constraint array_bool_and([BOOL____00187, BOOL____00167], BOOL____00383) :: defines_var(BOOL____00383);
constraint array_bool_and([BOOL____00187, BOOL____00189], BOOL____00413) :: defines_var(BOOL____00413);
constraint array_bool_and([BOOL____00188, BOOL____00168], BOOL____00411) :: defines_var(BOOL____00411);
constraint array_bool_and([BOOL____00188, BOOL____00190], BOOL____00441) :: defines_var(BOOL____00441);
constraint array_bool_and([BOOL____00189, BOOL____00169], BOOL____00439) :: defines_var(BOOL____00439);
constraint array_bool_and([BOOL____00190, BOOL____00170], BOOL____00459) :: defines_var(BOOL____00459);
constraint array_bool_and([BOOL____00191, BOOL____00171], BOOL____00218) :: defines_var(BOOL____00218);
constraint array_bool_and([BOOL____00191, BOOL____00193], BOOL____00248) :: defines_var(BOOL____00248);
constraint array_bool_and([BOOL____00192, BOOL____00172], BOOL____00245) :: defines_var(BOOL____00245);
constraint array_bool_and([BOOL____00192, BOOL____00194], BOOL____00276) :: defines_var(BOOL____00276);
constraint array_bool_and([BOOL____00193, BOOL____00173], BOOL____00274) :: defines_var(BOOL____00274);
constraint array_bool_and([BOOL____00193, BOOL____00195], BOOL____00304) :: defines_var(BOOL____00304);
constraint array_bool_and([BOOL____00194, BOOL____00174], BOOL____00302) :: defines_var(BOOL____00302);
constraint array_bool_and([BOOL____00194, BOOL____00196], BOOL____00332) :: defines_var(BOOL____00332);
constraint array_bool_and([BOOL____00195, BOOL____00175], BOOL____00330) :: defines_var(BOOL____00330);
constraint array_bool_and([BOOL____00195, BOOL____00197], BOOL____00360) :: defines_var(BOOL____00360);
constraint array_bool_and([BOOL____00196, true], BOOL____00388) :: defines_var(BOOL____00388);
constraint array_bool_and([BOOL____00196, BOOL____00176], BOOL____00358) :: defines_var(BOOL____00358);
constraint array_bool_and([BOOL____00197, BOOL____00177], BOOL____00386) :: defines_var(BOOL____00386);
constraint array_bool_and([BOOL____00197, BOOL____00199], BOOL____00416) :: defines_var(BOOL____00416);
constraint array_bool_and([BOOL____00199, BOOL____00179], BOOL____00442) :: defines_var(BOOL____00442);
constraint array_bool_and([BOOL____00200, BOOL____00180], BOOL____00461) :: defines_var(BOOL____00461);
constraint array_bool_and([BOOL____00097, BOOL____00099, BOOL____00087, BOOL____00087], true);
constraint array_bool_and([BOOL____00246, BOOL____00091, BOOL____00093, BOOL____00073, BOOL____00182, BOOL____00071], true);
constraint array_bool_and([BOOL____00028, BOOL____00030, BOOL____00029, BOOL____00018, BOOL____00020, BOOL____00028, BOOL____00008, BOOL____00008], true);
constraint array_bool_and([BOOL____00095, BOOL____00093, BOOL____00083, BOOL____00083, BOOL____00075, BOOL____00085, BOOL____00194, BOOL____00184], true);
constraint array_bool_and([BOOL____00017, BOOL____00027, BOOL____00026, BOOL____00025, BOOL____00015, BOOL____00005, BOOL____00007, BOOL____00116, BOOL____00106], true);
constraint array_bool_and([BOOL____00050, BOOL____00049, BOOL____00048, BOOL____00038, BOOL____00028, BOOL____00029, BOOL____00030, BOOL____00139, BOOL____00140], true);
constraint array_bool_and([BOOL____00035, BOOL____00045, BOOL____00044, BOOL____00043, BOOL____00015, BOOL____00022, BOOL____00023, BOOL____00024, BOOL____00025, BOOL____00134, BOOL____00133], true);
constraint array_bool_and([BOOL____00044, BOOL____00043, BOOL____00042, BOOL____00041, BOOL____00031, BOOL____00021, BOOL____00022, BOOL____00023, BOOL____00024, BOOL____00132, BOOL____00133], true);
constraint array_bool_and([BOOL____00063, BOOL____00073, BOOL____00081, BOOL____00083, BOOL____00071, BOOL____00061, BOOL____00051, BOOL____00052, BOOL____00053, BOOL____00162, BOOL____00172], true);
constraint array_bool_and([BOOL____00075, BOOL____00085, BOOL____00093, BOOL____00095, BOOL____00083, BOOL____00073, BOOL____00063, BOOL____00064, BOOL____00065, BOOL____00174, BOOL____00184], true);
constraint array_bool_and([BOOL____00078, BOOL____00077, BOOL____00076, BOOL____00075, BOOL____00065, BOOL____00055, BOOL____00056, BOOL____00057, BOOL____00058, BOOL____00166, BOOL____00167], true);
constraint array_bool_or([true, BOOL____00418], BOOL____00419) :: defines_var(BOOL____00419);
constraint array_bool_or([BOOL____00102, BOOL____00111], BOOL____00203) :: defines_var(BOOL____00203);
constraint array_bool_or([BOOL____00109, BOOL____00120], BOOL____00446) :: defines_var(BOOL____00446);
constraint array_bool_or([BOOL____00112, BOOL____00221], BOOL____00222) :: defines_var(BOOL____00222);
constraint array_bool_or([BOOL____00113, BOOL____00250], BOOL____00251) :: defines_var(BOOL____00251);
constraint array_bool_or([BOOL____00114, BOOL____00278], BOOL____00279) :: defines_var(BOOL____00279);
constraint array_bool_or([BOOL____00115, BOOL____00306], BOOL____00307) :: defines_var(BOOL____00307);
constraint array_bool_or([BOOL____00116, BOOL____00334], BOOL____00335) :: defines_var(BOOL____00335);
constraint array_bool_or([BOOL____00117, BOOL____00362], BOOL____00363) :: defines_var(BOOL____00363);
constraint array_bool_or([BOOL____00118, BOOL____00390], BOOL____00391) :: defines_var(BOOL____00391);
constraint array_bool_or([BOOL____00182, BOOL____00248], BOOL____00249) :: defines_var(BOOL____00249);
constraint array_bool_or([BOOL____00183, BOOL____00276], BOOL____00277) :: defines_var(BOOL____00277);
constraint array_bool_or([BOOL____00184, BOOL____00304], BOOL____00305) :: defines_var(BOOL____00305);
constraint array_bool_or([BOOL____00185, BOOL____00332], BOOL____00333) :: defines_var(BOOL____00333);
constraint array_bool_or([BOOL____00186, BOOL____00360], BOOL____00361) :: defines_var(BOOL____00361);
constraint array_bool_or([BOOL____00187, BOOL____00388], BOOL____00389) :: defines_var(BOOL____00389);
constraint array_bool_or([BOOL____00188, BOOL____00416], BOOL____00417) :: defines_var(BOOL____00417);
constraint array_bool_or([BOOL____00189, BOOL____00444], BOOL____00445) :: defines_var(BOOL____00445);
constraint array_bool_or([BOOL____00192, BOOL____00181], BOOL____00220) :: defines_var(BOOL____00220);
constraint array_bool_or([BOOL____00199, BOOL____00190], BOOL____00463) :: defines_var(BOOL____00463);
constraint array_bool_or([BOOL____00204, BOOL____00112], BOOL____00205) :: defines_var(BOOL____00205);
constraint array_bool_or([BOOL____00206, BOOL____00122], BOOL____00207) :: defines_var(BOOL____00207);
constraint array_bool_or([BOOL____00208, BOOL____00132], BOOL____00209) :: defines_var(BOOL____00209);
constraint array_bool_or([BOOL____00210, BOOL____00142], BOOL____00211) :: defines_var(BOOL____00211);
constraint array_bool_or([BOOL____00212, BOOL____00152], BOOL____00213) :: defines_var(BOOL____00213);
constraint array_bool_or([BOOL____00214, BOOL____00162], BOOL____00215) :: defines_var(BOOL____00215);
constraint array_bool_or([BOOL____00216, BOOL____00172], BOOL____00217) :: defines_var(BOOL____00217);
constraint array_bool_or([BOOL____00218, BOOL____00182], BOOL____00219) :: defines_var(BOOL____00219);
constraint array_bool_or([BOOL____00223, BOOL____00224], BOOL____00225) :: defines_var(BOOL____00225);
constraint array_bool_or([BOOL____00226, BOOL____00227], BOOL____00228) :: defines_var(BOOL____00228);
constraint array_bool_or([BOOL____00229, BOOL____00230], BOOL____00231) :: defines_var(BOOL____00231);
constraint array_bool_or([BOOL____00232, BOOL____00233], BOOL____00234) :: defines_var(BOOL____00234);
constraint array_bool_or([BOOL____00235, BOOL____00236], BOOL____00237) :: defines_var(BOOL____00237);
constraint array_bool_or([BOOL____00238, BOOL____00239], BOOL____00240) :: defines_var(BOOL____00240);
constraint array_bool_or([BOOL____00241, BOOL____00242], BOOL____00243) :: defines_var(BOOL____00243);
constraint array_bool_or([BOOL____00244, BOOL____00245], BOOL____00246) :: defines_var(BOOL____00246);
constraint array_bool_or([BOOL____00252, BOOL____00253], BOOL____00254) :: defines_var(BOOL____00254);
constraint array_bool_or([BOOL____00255, BOOL____00256], BOOL____00257) :: defines_var(BOOL____00257);
constraint array_bool_or([BOOL____00258, BOOL____00259], BOOL____00260) :: defines_var(BOOL____00260);
constraint array_bool_or([BOOL____00261, BOOL____00262], BOOL____00263) :: defines_var(BOOL____00263);
constraint array_bool_or([BOOL____00264, BOOL____00265], BOOL____00266) :: defines_var(BOOL____00266);
constraint array_bool_or([BOOL____00267, BOOL____00268], BOOL____00269) :: defines_var(BOOL____00269);
constraint array_bool_or([BOOL____00270, BOOL____00271], BOOL____00272) :: defines_var(BOOL____00272);
constraint array_bool_or([BOOL____00273, BOOL____00274], BOOL____00275) :: defines_var(BOOL____00275);
constraint array_bool_or([BOOL____00280, BOOL____00281], BOOL____00282) :: defines_var(BOOL____00282);
constraint array_bool_or([BOOL____00283, BOOL____00284], BOOL____00285) :: defines_var(BOOL____00285);
constraint array_bool_or([BOOL____00286, BOOL____00287], BOOL____00288) :: defines_var(BOOL____00288);
constraint array_bool_or([BOOL____00289, BOOL____00290], BOOL____00291) :: defines_var(BOOL____00291);
constraint array_bool_or([BOOL____00292, BOOL____00293], BOOL____00294) :: defines_var(BOOL____00294);
constraint array_bool_or([BOOL____00295, BOOL____00296], BOOL____00297) :: defines_var(BOOL____00297);
constraint array_bool_or([BOOL____00298, BOOL____00299], BOOL____00300) :: defines_var(BOOL____00300);
constraint array_bool_or([BOOL____00301, BOOL____00302], BOOL____00303) :: defines_var(BOOL____00303);
constraint array_bool_or([BOOL____00308, BOOL____00309], BOOL____00310) :: defines_var(BOOL____00310);
constraint array_bool_or([BOOL____00311, BOOL____00312], BOOL____00313) :: defines_var(BOOL____00313);
constraint array_bool_or([BOOL____00314, BOOL____00315], BOOL____00316) :: defines_var(BOOL____00316);
constraint array_bool_or([BOOL____00317, BOOL____00318], BOOL____00319) :: defines_var(BOOL____00319);
constraint array_bool_or([BOOL____00320, BOOL____00321], BOOL____00322) :: defines_var(BOOL____00322);
constraint array_bool_or([BOOL____00323, BOOL____00324], BOOL____00325) :: defines_var(BOOL____00325);
constraint array_bool_or([BOOL____00326, BOOL____00327], BOOL____00328) :: defines_var(BOOL____00328);
constraint array_bool_or([BOOL____00329, BOOL____00330], BOOL____00331) :: defines_var(BOOL____00331);
constraint array_bool_or([BOOL____00336, BOOL____00337], BOOL____00338) :: defines_var(BOOL____00338);
constraint array_bool_or([BOOL____00339, BOOL____00340], BOOL____00341) :: defines_var(BOOL____00341);
constraint array_bool_or([BOOL____00342, BOOL____00343], BOOL____00344) :: defines_var(BOOL____00344);
constraint array_bool_or([BOOL____00345, BOOL____00346], BOOL____00347) :: defines_var(BOOL____00347);
constraint array_bool_or([BOOL____00348, BOOL____00349], BOOL____00350) :: defines_var(BOOL____00350);
constraint array_bool_or([BOOL____00351, BOOL____00352], BOOL____00353) :: defines_var(BOOL____00353);
constraint array_bool_or([BOOL____00354, BOOL____00355], BOOL____00356) :: defines_var(BOOL____00356);
constraint array_bool_or([BOOL____00357, BOOL____00358], BOOL____00359) :: defines_var(BOOL____00359);
constraint array_bool_or([BOOL____00364, BOOL____00365], BOOL____00366) :: defines_var(BOOL____00366);
constraint array_bool_or([BOOL____00367, BOOL____00368], BOOL____00369) :: defines_var(BOOL____00369);
constraint array_bool_or([BOOL____00370, BOOL____00371], BOOL____00372) :: defines_var(BOOL____00372);
constraint array_bool_or([BOOL____00373, BOOL____00374], BOOL____00375) :: defines_var(BOOL____00375);
constraint array_bool_or([BOOL____00376, BOOL____00377], BOOL____00378) :: defines_var(BOOL____00378);
constraint array_bool_or([BOOL____00379, BOOL____00380], BOOL____00381) :: defines_var(BOOL____00381);
constraint array_bool_or([BOOL____00382, BOOL____00383], BOOL____00384) :: defines_var(BOOL____00384);
constraint array_bool_or([BOOL____00385, BOOL____00386], BOOL____00387) :: defines_var(BOOL____00387);
constraint array_bool_or([BOOL____00392, BOOL____00393], BOOL____00394) :: defines_var(BOOL____00394);
constraint array_bool_or([BOOL____00395, BOOL____00396], BOOL____00397) :: defines_var(BOOL____00397);
constraint array_bool_or([BOOL____00398, BOOL____00399], BOOL____00400) :: defines_var(BOOL____00400);
constraint array_bool_or([BOOL____00401, BOOL____00402], BOOL____00403) :: defines_var(BOOL____00403);
constraint array_bool_or([BOOL____00404, BOOL____00405], BOOL____00406) :: defines_var(BOOL____00406);
constraint array_bool_or([BOOL____00407, BOOL____00408], BOOL____00409) :: defines_var(BOOL____00409);
constraint array_bool_or([BOOL____00410, BOOL____00411], BOOL____00412) :: defines_var(BOOL____00412);
constraint array_bool_or([BOOL____00413, BOOL____00414], BOOL____00415) :: defines_var(BOOL____00415);
constraint array_bool_or([BOOL____00420, BOOL____00421], BOOL____00422) :: defines_var(BOOL____00422);
constraint array_bool_or([BOOL____00423, BOOL____00424], BOOL____00425) :: defines_var(BOOL____00425);
constraint array_bool_or([BOOL____00426, BOOL____00427], BOOL____00428) :: defines_var(BOOL____00428);
constraint array_bool_or([BOOL____00429, BOOL____00430], BOOL____00431) :: defines_var(BOOL____00431);
constraint array_bool_or([BOOL____00432, BOOL____00433], BOOL____00434) :: defines_var(BOOL____00434);
constraint array_bool_or([BOOL____00435, BOOL____00436], BOOL____00437) :: defines_var(BOOL____00437);
constraint array_bool_or([BOOL____00438, BOOL____00439], BOOL____00440) :: defines_var(BOOL____00440);
constraint array_bool_or([BOOL____00441, BOOL____00442], BOOL____00443) :: defines_var(BOOL____00443);
constraint array_bool_or([BOOL____00447, true], BOOL____00448) :: defines_var(BOOL____00448);
constraint array_bool_or([BOOL____00449, BOOL____00129], BOOL____00450) :: defines_var(BOOL____00450);
constraint array_bool_or([BOOL____00451, BOOL____00139], BOOL____00452) :: defines_var(BOOL____00452);
constraint array_bool_or([BOOL____00453, BOOL____00149], BOOL____00454) :: defines_var(BOOL____00454);
constraint array_bool_or([BOOL____00455, BOOL____00159], BOOL____00456) :: defines_var(BOOL____00456);
constraint array_bool_or([BOOL____00457, BOOL____00169], BOOL____00458) :: defines_var(BOOL____00458);
constraint array_bool_or([BOOL____00459, BOOL____00179], BOOL____00460) :: defines_var(BOOL____00460);
constraint array_bool_or([BOOL____00461, BOOL____00189], BOOL____00462) :: defines_var(BOOL____00462);
constraint int_eq_reif(grid[1], 0, BOOL____00001) :: defines_var(BOOL____00001);
constraint int_eq_reif(grid[1], 1, BOOL____00101) :: defines_var(BOOL____00101);
constraint int_eq_reif(grid[2], 0, BOOL____00011) :: defines_var(BOOL____00011);
constraint int_eq_reif(grid[2], 1, BOOL____00111) :: defines_var(BOOL____00111);
constraint int_eq_reif(grid[3], 0, BOOL____00021) :: defines_var(BOOL____00021);
constraint int_eq_reif(grid[3], 1, BOOL____00121) :: defines_var(BOOL____00121);
constraint int_eq_reif(grid[4], 0, BOOL____00031) :: defines_var(BOOL____00031);
constraint int_eq_reif(grid[4], 1, BOOL____00131) :: defines_var(BOOL____00131);
constraint int_eq_reif(grid[5], 0, BOOL____00041) :: defines_var(BOOL____00041);
constraint int_eq_reif(grid[5], 1, BOOL____00141) :: defines_var(BOOL____00141);
constraint int_eq_reif(grid[6], 0, BOOL____00051) :: defines_var(BOOL____00051);
constraint int_eq_reif(grid[6], 1, BOOL____00151) :: defines_var(BOOL____00151);
constraint int_eq_reif(grid[7], 0, BOOL____00061) :: defines_var(BOOL____00061);
constraint int_eq_reif(grid[7], 1, BOOL____00161) :: defines_var(BOOL____00161);
constraint int_eq_reif(grid[8], 0, BOOL____00071) :: defines_var(BOOL____00071);
constraint int_eq_reif(grid[8], 1, BOOL____00171) :: defines_var(BOOL____00171);
constraint int_eq_reif(grid[9], 0, BOOL____00081) :: defines_var(BOOL____00081);
constraint int_eq_reif(grid[9], 1, BOOL____00181) :: defines_var(BOOL____00181);
constraint int_eq_reif(grid[10], 0, BOOL____00091) :: defines_var(BOOL____00091);
constraint int_eq_reif(grid[10], 1, BOOL____00191) :: defines_var(BOOL____00191);
constraint int_eq_reif(grid[11], 0, BOOL____00002) :: defines_var(BOOL____00002);
constraint int_eq_reif(grid[11], 1, BOOL____00102) :: defines_var(BOOL____00102);
constraint int_eq_reif(grid[12], 0, BOOL____00012) :: defines_var(BOOL____00012);
constraint int_eq_reif(grid[12], 1, BOOL____00112) :: defines_var(BOOL____00112);
constraint int_eq_reif(grid[13], 0, BOOL____00022) :: defines_var(BOOL____00022);
constraint int_eq_reif(grid[13], 1, BOOL____00122) :: defines_var(BOOL____00122);
constraint int_eq_reif(grid[14], 0, BOOL____00032) :: defines_var(BOOL____00032);
constraint int_eq_reif(grid[14], 1, BOOL____00132) :: defines_var(BOOL____00132);
constraint int_eq_reif(grid[15], 0, BOOL____00042) :: defines_var(BOOL____00042);
constraint int_eq_reif(grid[15], 1, BOOL____00142) :: defines_var(BOOL____00142);
constraint int_eq_reif(grid[16], 0, BOOL____00052) :: defines_var(BOOL____00052);
constraint int_eq_reif(grid[16], 1, BOOL____00152) :: defines_var(BOOL____00152);
constraint int_eq_reif(grid[17], 0, BOOL____00062) :: defines_var(BOOL____00062);
constraint int_eq_reif(grid[17], 1, BOOL____00162) :: defines_var(BOOL____00162);
constraint int_eq_reif(grid[18], 0, BOOL____00072) :: defines_var(BOOL____00072);
constraint int_eq_reif(grid[18], 1, BOOL____00172) :: defines_var(BOOL____00172);
constraint int_eq_reif(grid[19], 0, BOOL____00082) :: defines_var(BOOL____00082);
constraint int_eq_reif(grid[19], 1, BOOL____00182) :: defines_var(BOOL____00182);
constraint int_eq_reif(grid[20], 0, BOOL____00092) :: defines_var(BOOL____00092);
constraint int_eq_reif(grid[20], 1, BOOL____00192) :: defines_var(BOOL____00192);
constraint int_eq_reif(grid[21], 0, BOOL____00003) :: defines_var(BOOL____00003);
constraint int_eq_reif(grid[21], 1, BOOL____00103) :: defines_var(BOOL____00103);
constraint int_eq_reif(grid[22], 0, BOOL____00013) :: defines_var(BOOL____00013);
constraint int_eq_reif(grid[22], 1, BOOL____00113) :: defines_var(BOOL____00113);
constraint int_eq_reif(grid[23], 0, BOOL____00023) :: defines_var(BOOL____00023);
constraint int_eq_reif(grid[23], 1, BOOL____00123) :: defines_var(BOOL____00123);
constraint int_eq_reif(grid[24], 0, BOOL____00033) :: defines_var(BOOL____00033);
constraint int_eq_reif(grid[24], 1, BOOL____00133) :: defines_var(BOOL____00133);
constraint int_eq_reif(grid[25], 0, BOOL____00043) :: defines_var(BOOL____00043);
constraint int_eq_reif(grid[25], 1, BOOL____00143) :: defines_var(BOOL____00143);
constraint int_eq_reif(grid[26], 0, BOOL____00053) :: defines_var(BOOL____00053);
constraint int_eq_reif(grid[26], 1, BOOL____00153) :: defines_var(BOOL____00153);
constraint int_eq_reif(grid[27], 0, BOOL____00063) :: defines_var(BOOL____00063);
constraint int_eq_reif(grid[27], 1, BOOL____00163) :: defines_var(BOOL____00163);
constraint int_eq_reif(grid[28], 0, BOOL____00073) :: defines_var(BOOL____00073);
constraint int_eq_reif(grid[28], 1, BOOL____00173) :: defines_var(BOOL____00173);
constraint int_eq_reif(grid[29], 0, BOOL____00083) :: defines_var(BOOL____00083);
constraint int_eq_reif(grid[29], 1, BOOL____00183) :: defines_var(BOOL____00183);
constraint int_eq_reif(grid[30], 0, BOOL____00093) :: defines_var(BOOL____00093);
constraint int_eq_reif(grid[30], 1, BOOL____00193) :: defines_var(BOOL____00193);
constraint int_eq_reif(grid[31], 0, BOOL____00004) :: defines_var(BOOL____00004);
constraint int_eq_reif(grid[31], 1, BOOL____00104) :: defines_var(BOOL____00104);
constraint int_eq_reif(grid[32], 0, BOOL____00014) :: defines_var(BOOL____00014);
constraint int_eq_reif(grid[32], 1, BOOL____00114) :: defines_var(BOOL____00114);
constraint int_eq_reif(grid[33], 0, BOOL____00024) :: defines_var(BOOL____00024);
constraint int_eq_reif(grid[33], 1, BOOL____00124) :: defines_var(BOOL____00124);
constraint int_eq_reif(grid[34], 0, BOOL____00034) :: defines_var(BOOL____00034);
constraint int_eq_reif(grid[34], 1, BOOL____00134) :: defines_var(BOOL____00134);
constraint int_eq_reif(grid[35], 0, BOOL____00044) :: defines_var(BOOL____00044);
constraint int_eq_reif(grid[35], 1, BOOL____00144) :: defines_var(BOOL____00144);
constraint int_eq_reif(grid[36], 0, true);
constraint int_eq_reif(grid[36], 1, BOOL____00154) :: defines_var(BOOL____00154);
constraint int_eq_reif(grid[37], 0, BOOL____00064) :: defines_var(BOOL____00064);
constraint int_eq_reif(grid[37], 1, BOOL____00164) :: defines_var(BOOL____00164);
constraint int_eq_reif(grid[38], 0, BOOL____00074) :: defines_var(BOOL____00074);
constraint int_eq_reif(grid[38], 1, BOOL____00174) :: defines_var(BOOL____00174);
constraint int_eq_reif(grid[39], 0, BOOL____00084) :: defines_var(BOOL____00084);
constraint int_eq_reif(grid[39], 1, BOOL____00184) :: defines_var(BOOL____00184);
constraint int_eq_reif(grid[40], 0, BOOL____00094) :: defines_var(BOOL____00094);
constraint int_eq_reif(grid[40], 1, BOOL____00194) :: defines_var(BOOL____00194);
constraint int_eq_reif(grid[41], 0, BOOL____00005) :: defines_var(BOOL____00005);
constraint int_eq_reif(grid[41], 1, BOOL____00105) :: defines_var(BOOL____00105);
constraint int_eq_reif(grid[42], 0, BOOL____00015) :: defines_var(BOOL____00015);
constraint int_eq_reif(grid[42], 1, BOOL____00115) :: defines_var(BOOL____00115);
constraint int_eq_reif(grid[43], 0, BOOL____00025) :: defines_var(BOOL____00025);
constraint int_eq_reif(grid[43], 1, BOOL____00125) :: defines_var(BOOL____00125);
constraint int_eq_reif(grid[44], 0, BOOL____00035) :: defines_var(BOOL____00035);
constraint int_eq_reif(grid[44], 1, BOOL____00135) :: defines_var(BOOL____00135);
constraint int_eq_reif(grid[45], 0, BOOL____00045) :: defines_var(BOOL____00045);
constraint int_eq_reif(grid[45], 1, BOOL____00145) :: defines_var(BOOL____00145);
constraint int_eq_reif(grid[46], 0, BOOL____00055) :: defines_var(BOOL____00055);
constraint int_eq_reif(grid[46], 1, BOOL____00155) :: defines_var(BOOL____00155);
constraint int_eq_reif(grid[47], 0, BOOL____00065) :: defines_var(BOOL____00065);
constraint int_eq_reif(grid[47], 1, BOOL____00165) :: defines_var(BOOL____00165);
constraint int_eq_reif(grid[48], 0, BOOL____00075) :: defines_var(BOOL____00075);
constraint int_eq_reif(grid[48], 1, BOOL____00175) :: defines_var(BOOL____00175);
constraint int_eq_reif(grid[49], 0, BOOL____00085) :: defines_var(BOOL____00085);
constraint int_eq_reif(grid[49], 1, BOOL____00185) :: defines_var(BOOL____00185);
constraint int_eq_reif(grid[50], 0, BOOL____00095) :: defines_var(BOOL____00095);
constraint int_eq_reif(grid[50], 1, BOOL____00195) :: defines_var(BOOL____00195);
constraint int_eq_reif(grid[51], 0, BOOL____00006) :: defines_var(BOOL____00006);
constraint int_eq_reif(grid[51], 1, BOOL____00106) :: defines_var(BOOL____00106);
constraint int_eq_reif(grid[52], 0, BOOL____00016) :: defines_var(BOOL____00016);
constraint int_eq_reif(grid[52], 1, BOOL____00116) :: defines_var(BOOL____00116);
constraint int_eq_reif(grid[53], 0, BOOL____00026) :: defines_var(BOOL____00026);
constraint int_eq_reif(grid[53], 1, BOOL____00126) :: defines_var(BOOL____00126);
constraint int_eq_reif(grid[54], 0, true);
constraint int_eq_reif(grid[54], 1, BOOL____00136) :: defines_var(BOOL____00136);
constraint int_eq_reif(grid[55], 0, BOOL____00046) :: defines_var(BOOL____00046);
constraint int_eq_reif(grid[55], 1, BOOL____00146) :: defines_var(BOOL____00146);
constraint int_eq_reif(grid[56], 0, BOOL____00056) :: defines_var(BOOL____00056);
constraint int_eq_reif(grid[56], 1, BOOL____00156) :: defines_var(BOOL____00156);
constraint int_eq_reif(grid[57], 0, BOOL____00066) :: defines_var(BOOL____00066);
constraint int_eq_reif(grid[57], 1, BOOL____00166) :: defines_var(BOOL____00166);
constraint int_eq_reif(grid[58], 0, BOOL____00076) :: defines_var(BOOL____00076);
constraint int_eq_reif(grid[58], 1, BOOL____00176) :: defines_var(BOOL____00176);
constraint int_eq_reif(grid[59], 0, BOOL____00086) :: defines_var(BOOL____00086);
constraint int_eq_reif(grid[59], 1, BOOL____00186) :: defines_var(BOOL____00186);
constraint int_eq_reif(grid[60], 0, BOOL____00096) :: defines_var(BOOL____00096);
constraint int_eq_reif(grid[60], 1, BOOL____00196) :: defines_var(BOOL____00196);
constraint int_eq_reif(grid[61], 0, BOOL____00007) :: defines_var(BOOL____00007);
constraint int_eq_reif(grid[61], 1, BOOL____00107) :: defines_var(BOOL____00107);
constraint int_eq_reif(grid[62], 0, BOOL____00017) :: defines_var(BOOL____00017);
constraint int_eq_reif(grid[62], 1, BOOL____00117) :: defines_var(BOOL____00117);
constraint int_eq_reif(grid[63], 0, BOOL____00027) :: defines_var(BOOL____00027);
constraint int_eq_reif(grid[63], 1, BOOL____00127) :: defines_var(BOOL____00127);
constraint int_eq_reif(grid[64], 0, BOOL____00037) :: defines_var(BOOL____00037);
constraint int_eq_reif(grid[64], 1, BOOL____00137) :: defines_var(BOOL____00137);
constraint int_eq_reif(grid[65], 0, BOOL____00047) :: defines_var(BOOL____00047);
constraint int_eq_reif(grid[65], 1, BOOL____00147) :: defines_var(BOOL____00147);
constraint int_eq_reif(grid[66], 0, BOOL____00057) :: defines_var(BOOL____00057);
constraint int_eq_reif(grid[66], 1, BOOL____00157) :: defines_var(BOOL____00157);
constraint int_eq_reif(grid[67], 0, BOOL____00067) :: defines_var(BOOL____00067);
constraint int_eq_reif(grid[67], 1, BOOL____00167) :: defines_var(BOOL____00167);
constraint int_eq_reif(grid[68], 0, BOOL____00077) :: defines_var(BOOL____00077);
constraint int_eq_reif(grid[68], 1, BOOL____00177) :: defines_var(BOOL____00177);
constraint int_eq_reif(grid[69], 0, BOOL____00087) :: defines_var(BOOL____00087);
constraint int_eq_reif(grid[69], 1, BOOL____00187) :: defines_var(BOOL____00187);
constraint int_eq_reif(grid[70], 0, BOOL____00097) :: defines_var(BOOL____00097);
constraint int_eq_reif(grid[70], 1, BOOL____00197) :: defines_var(BOOL____00197);
constraint int_eq_reif(grid[71], 0, BOOL____00008) :: defines_var(BOOL____00008);
constraint int_eq_reif(grid[71], 1, BOOL____00108) :: defines_var(BOOL____00108);
constraint int_eq_reif(grid[72], 0, BOOL____00018) :: defines_var(BOOL____00018);
constraint int_eq_reif(grid[72], 1, BOOL____00118) :: defines_var(BOOL____00118);
constraint int_eq_reif(grid[73], 0, BOOL____00028) :: defines_var(BOOL____00028);
constraint int_eq_reif(grid[73], 1, BOOL____00128) :: defines_var(BOOL____00128);
constraint int_eq_reif(grid[74], 0, BOOL____00038) :: defines_var(BOOL____00038);
constraint int_eq_reif(grid[74], 1, BOOL____00138) :: defines_var(BOOL____00138);
constraint int_eq_reif(grid[75], 0, BOOL____00048) :: defines_var(BOOL____00048);
constraint int_eq_reif(grid[75], 1, BOOL____00148) :: defines_var(BOOL____00148);
constraint int_eq_reif(grid[76], 0, BOOL____00058) :: defines_var(BOOL____00058);
constraint int_eq_reif(grid[76], 1, BOOL____00158) :: defines_var(BOOL____00158);
constraint int_eq_reif(grid[77], 0, BOOL____00068) :: defines_var(BOOL____00068);
constraint int_eq_reif(grid[77], 1, BOOL____00168) :: defines_var(BOOL____00168);
constraint int_eq_reif(grid[78], 0, BOOL____00078) :: defines_var(BOOL____00078);
constraint int_eq_reif(grid[78], 1, BOOL____00178) :: defines_var(BOOL____00178);
constraint int_eq_reif(grid[79], 0, BOOL____00088) :: defines_var(BOOL____00088);
constraint int_eq_reif(grid[79], 1, BOOL____00188) :: defines_var(BOOL____00188);
constraint int_eq_reif(grid[80], 0, BOOL____00098) :: defines_var(BOOL____00098);
constraint int_eq_reif(grid[80], 1, true);
constraint int_eq_reif(grid[81], 0, BOOL____00009) :: defines_var(BOOL____00009);
constraint int_eq_reif(grid[81], 1, BOOL____00109) :: defines_var(BOOL____00109);
constraint int_eq_reif(grid[82], 0, BOOL____00019) :: defines_var(BOOL____00019);
constraint int_eq_reif(grid[82], 1, true);
constraint int_eq_reif(grid[83], 0, BOOL____00029) :: defines_var(BOOL____00029);
constraint int_eq_reif(grid[83], 1, BOOL____00129) :: defines_var(BOOL____00129);
constraint int_eq_reif(grid[84], 0, BOOL____00039) :: defines_var(BOOL____00039);
constraint int_eq_reif(grid[84], 1, BOOL____00139) :: defines_var(BOOL____00139);
constraint int_eq_reif(grid[85], 0, BOOL____00049) :: defines_var(BOOL____00049);
constraint int_eq_reif(grid[85], 1, BOOL____00149) :: defines_var(BOOL____00149);
constraint int_eq_reif(grid[86], 0, BOOL____00059) :: defines_var(BOOL____00059);
constraint int_eq_reif(grid[86], 1, BOOL____00159) :: defines_var(BOOL____00159);
constraint int_eq_reif(grid[87], 0, BOOL____00069) :: defines_var(BOOL____00069);
constraint int_eq_reif(grid[87], 1, BOOL____00169) :: defines_var(BOOL____00169);
constraint int_eq_reif(grid[88], 0, BOOL____00079) :: defines_var(BOOL____00079);
constraint int_eq_reif(grid[88], 1, BOOL____00179) :: defines_var(BOOL____00179);
constraint int_eq_reif(grid[89], 0, BOOL____00089) :: defines_var(BOOL____00089);
constraint int_eq_reif(grid[89], 1, BOOL____00189) :: defines_var(BOOL____00189);
constraint int_eq_reif(grid[90], 0, BOOL____00099) :: defines_var(BOOL____00099);
constraint int_eq_reif(grid[90], 1, BOOL____00199) :: defines_var(BOOL____00199);
constraint int_eq_reif(grid[91], 0, BOOL____00010) :: defines_var(BOOL____00010);
constraint int_eq_reif(grid[91], 1, BOOL____00110) :: defines_var(BOOL____00110);
constraint int_eq_reif(grid[92], 0, BOOL____00020) :: defines_var(BOOL____00020);
constraint int_eq_reif(grid[92], 1, BOOL____00120) :: defines_var(BOOL____00120);
constraint int_eq_reif(grid[93], 0, BOOL____00030) :: defines_var(BOOL____00030);
constraint int_eq_reif(grid[93], 1, BOOL____00130) :: defines_var(BOOL____00130);
constraint int_eq_reif(grid[94], 0, BOOL____00040) :: defines_var(BOOL____00040);
constraint int_eq_reif(grid[94], 1, BOOL____00140) :: defines_var(BOOL____00140);
constraint int_eq_reif(grid[95], 0, BOOL____00050) :: defines_var(BOOL____00050);
constraint int_eq_reif(grid[95], 1, BOOL____00150) :: defines_var(BOOL____00150);
constraint int_eq_reif(grid[96], 0, BOOL____00060) :: defines_var(BOOL____00060);
constraint int_eq_reif(grid[96], 1, BOOL____00160) :: defines_var(BOOL____00160);
constraint int_eq_reif(grid[97], 0, BOOL____00070) :: defines_var(BOOL____00070);
constraint int_eq_reif(grid[97], 1, BOOL____00170) :: defines_var(BOOL____00170);
constraint int_eq_reif(grid[98], 0, BOOL____00080) :: defines_var(BOOL____00080);
constraint int_eq_reif(grid[98], 1, BOOL____00180) :: defines_var(BOOL____00180);
constraint int_eq_reif(grid[99], 0, BOOL____00090) :: defines_var(BOOL____00090);
constraint int_eq_reif(grid[99], 1, BOOL____00190) :: defines_var(BOOL____00190);
constraint int_eq_reif(grid[100], 0, BOOL____00100) :: defines_var(BOOL____00100);
constraint int_eq_reif(grid[100], 1, BOOL____00200) :: defines_var(BOOL____00200);
constraint int_lin_eq([1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [grid[1], grid[2], grid[3], grid[4], grid[5], grid[6], grid[7], grid[8], grid[9], grid[10]], 1);
constraint int_lin_eq([1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [grid[1], grid[11], grid[21], grid[31], grid[41], grid[51], grid[61], grid[71], grid[81], grid[91]], 2);
constraint int_lin_eq([1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [grid[2], grid[12], grid[22], grid[32], grid[42], grid[52], grid[62], grid[72], grid[82], grid[92]], 2);
constraint int_lin_eq([1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [grid[3], grid[13], grid[23], grid[33], grid[43], grid[53], grid[63], grid[73], grid[83], grid[93]], 0);
constraint int_lin_eq([1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [grid[4], grid[14], grid[24], grid[34], grid[44], grid[54], grid[64], grid[74], grid[84], grid[94]], 5);
constraint int_lin_eq([1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [grid[5], grid[15], grid[25], grid[35], grid[45], grid[55], grid[65], grid[75], grid[85], grid[95]], 0);
constraint int_lin_eq([1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [grid[6], grid[16], grid[26], grid[36], grid[46], grid[56], grid[66], grid[76], grid[86], grid[96]], 1);
constraint int_lin_eq([1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [grid[7], grid[17], grid[27], grid[37], grid[47], grid[57], grid[67], grid[77], grid[87], grid[97]], 3);
constraint int_lin_eq([1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [grid[8], grid[18], grid[28], grid[38], grid[48], grid[58], grid[68], grid[78], grid[88], grid[98]], 2);
constraint int_lin_eq([1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [grid[9], grid[19], grid[29], grid[39], grid[49], grid[59], grid[69], grid[79], grid[89], grid[99]], 2);
constraint int_lin_eq([1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [grid[10], grid[20], grid[30], grid[40], grid[50], grid[60], grid[70], grid[80], grid[90], grid[100]], 3);
constraint int_lin_eq([1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [grid[11], grid[12], grid[13], grid[14], grid[15], grid[16], grid[17], grid[18], grid[19], grid[20]], 5);
constraint int_lin_eq([1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [grid[21], grid[22], grid[23], grid[24], grid[25], grid[26], grid[27], grid[28], grid[29], grid[30]], 1);
constraint int_lin_eq([1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [grid[31], grid[32], grid[33], grid[34], grid[35], grid[36], grid[37], grid[38], grid[39], grid[40]], 4);
constraint int_lin_eq([1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [grid[41], grid[42], grid[43], grid[44], grid[45], grid[46], grid[47], grid[48], grid[49], grid[50]], 0);
constraint int_lin_eq([1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [grid[51], grid[52], grid[53], grid[54], grid[55], grid[56], grid[57], grid[58], grid[59], grid[60]], 3);
constraint int_lin_eq([1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [grid[61], grid[62], grid[63], grid[64], grid[65], grid[66], grid[67], grid[68], grid[69], grid[70]], 1);
constraint int_lin_eq([1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [grid[71], grid[72], grid[73], grid[74], grid[75], grid[76], grid[77], grid[78], grid[79], grid[80]], 1);
constraint int_lin_eq([1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [grid[81], grid[82], grid[83], grid[84], grid[85], grid[86], grid[87], grid[88], grid[89], grid[90]], 3);
constraint int_lin_eq([1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [grid[91], grid[92], grid[93], grid[94], grid[95], grid[96], grid[97], grid[98], grid[99], grid[100]], 1);
solve satisfy;