* this is program for estimating AIDs equations using GME approach * the data is from mexico houseshould comsumption data * total sample 500, total exogenous variable in each eq. is 21 with constant * this is non-linear estimation AIDs sets t number of observations / 1 * 500 / i number of equations / 1 * 5 / k number of exogeneous variables / 1 * 21 / d number of variables in datafile / 1 * 25 / m number of points in interval z / 1 * 3/ j number of points in interval v / 1 * 3 /; parameter datafile(t,d) raw data from SAS s(t,i) dependent variable share of budege x(t,i,k) explanatory variables price1(t) price level in log form price2(t) price level in log form price3(t) price level in log form price4(t) price level in log form price5(t) price level in log form apple(t) weighted average price level indic(k) copy of set k MM number of points in support JJ number of points in support ; MM=3; JJ=3; indic(k) = 0; loop(k, indic("1") = 1; indic(k) = indic(k-1) + 1; ); table datafile(t,d) * OBS 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9.9758 9.9818 2 9.7981 9.47270 9.12255 9.3251 9.9089 3 8.6999 9.47142 9.06122 10.1659 9.9818 4 9.5643 9.56074 9.04235 8.6995 10.5966 5 9.5468 9.56074 9.04235 9.4014 10.5966 6 9.6803 9.47142 8.98720 9.3927 9.9818 7 8.9872 9.54681 9.04235 9.3172 10.5966 8 9.6803 9.21034 8.07091 9.0360 8.7641 9 9.3587 9.03046 8.00637 8.9092 8.7641 10 9.6158 9.34147 8.06021 9.0973 9.3927 11 9.3587 9.03046 8.38234 8.6995 8.7641 12 9.0180 9.34147 8.00637 8.5564 9.4335 13 9.3927 9.34147 8.02290 8.9480 9.3057 14 8.8631 9.45936 8.16302 9.2895 9.7672 15 9.4727 9.45936 8.27513 8.6995 9.7672 16 10.0858 9.39266 8.80488 9.9523 9.9167 17 9.2103 9.59735 8.61250 9.2103 8.4118 18 9.6300 9.39266 8.16052 9.3927 9.6098 19 9.4980 9.61188 8.24526 9.5672 9.7723 20 8.9872 9.59735 8.75088 9.5468 9.1850 21 9.5468 9.59735 8.51719 9.5472 9.3640 22 9.6300 9.39266 8.85367 9.6059 9.6098 23 9.6486 9.59735 8.75088 9.8416 9.3640 24 9.6593 9.61188 8.51682 9.5672 9.7723 25 9.7291 9.83449 8.98720 8.8049 9.7723 26 9.5363 9.59735 8.75088 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8.29405 9.2103 9.60102 100 9.21034 9.56527 7.91936 9.4772 9.60102 101 9.79813 9.56527 9.39266 9.4772 9.60102 102 9.69438 9.56527 9.25913 9.4772 9.60102 103 9.39266 9.74097 9.05176 9.5406 9.60102 104 9.32960 9.54681 9.29258 9.4772 9.60102 105 9.68034 9.79813 9.27488 9.7981 9.60102 106 9.85219 9.85219 9.09483 9.7981 9.60102 107 9.69438 8.51719 8.99792 9.4980 9.60102 108 9.90349 9.56527 8.93590 9.4772 9.60102 109 9.68034 9.56527 9.10498 9.1050 9.60102 110 9.21034 9.56527 9.05176 9.4772 9.60102 111 9.9035 9.56527 9.0518 8.6995 9.6010 112 9.7981 9.61581 7.8240 9.3379 9.2103 113 9.8522 9.56527 8.6995 9.4772 9.6010 114 9.8389 9.56527 9.1050 9.6803 8.9872 115 9.7527 9.56527 8.8914 9.6803 9.6010 116 9.7981 9.56527 9.0518 9.8522 9.6010 117 9.6944 9.21034 8.9872 9.1050 9.6010 118 9.8165 9.54681 9.1050 9.4772 9.6010 119 9.3927 9.56527 9.2103 9.4772 9.6010 120 9.9035 9.56527 9.3927 9.5468 9.6010 121 9.6062 9.56527 9.1590 9.9035 9.6010 122 9.2103 9.56527 9.1590 9.4772 9.6010 123 9.8522 9.56527 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9.79813 9.1050 9.6803 9.6010 149 9.8522 9.56527 9.0180 9.4772 9.6010 150 9.6803 9.56527 9.4440 10.3735 10.3085 151 9.7981 9.56527 9.6024 9.7212 9.6010 152 9.8522 9.90349 9.4727 9.4772 9.6010 153 9.5140 9.56527 8.8537 9.5468 9.6010 154 9.7981 9.56527 8.5172 9.3927 9.6010 155 9.9035 9.56527 9.0518 9.3645 9.6010 156 9.9035 9.56527 9.4335 9.4772 9.6010 157 9.6803 8.77956 8.9227 10.0858 9.6010 158 9.8627 8.85367 8.4118 9.4772 9.6010 159 9.4335 9.54681 8.9302 9.4084 10.5453 160 9.2103 9.51783 8.5172 9.6762 9.7212 161 9.5933 9.68034 9.2103 9.1560 10.1346 162 9.5410 9.68034 9.0054 9.3927 10.1346 163 9.4938 9.42006 8.8668 8.8537 10.1346 164 9.8522 9.42006 8.8668 9.2707 10.1346 165 9.4335 9.68034 9.0054 9.4762 10.1346 166 9.56072 9.68034 9.10156 9.15004 10.0858 167 9.79813 9.24313 9.08913 8.51719 9.9233 168 9.35010 9.44057 9.10498 9.68034 9.9233 169 9.56072 9.36604 9.21034 9.15004 10.0858 170 9.56072 9.39266 9.39266 9.54681 10.0858 171 9.58348 9.44057 9.08913 9.10498 9.9233 172 9.56072 9.21034 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9.21034 9.5850 9.5763 243 9.65929 9.25018 8.29405 9.2103 9.5763 244 9.79813 9.25018 9.15905 9.8139 9.5763 245 9.66581 9.25018 9.30565 9.6803 8.9872 246 9.79813 9.14135 9.21034 9.5294 9.5763 247 9.79813 9.25018 9.05642 8.6995 9.5763 248 9.66581 9.63778 9.05642 10.2104 9.5763 249 9.59333 9.68034 9.05642 9.5294 9.5763 250 9.39266 9.39266 9.10498 9.5294 9.5763 251 9.62905 9.54681 9.05642 9.2103 9.5763 252 9.72117 9.25018 9.05642 9.4467 9.5763 253 9.95228 9.25018 8.08641 9.5294 9.5763 254 9.66581 9.25018 9.10498 9.9035 9.5763 255 7.60090 9.25018 8.55975 9.3057 9.5763 256 9.89091 9.68034 9.21034 9.5294 10.0858 257 9.90349 9.25018 9.39266 9.5294 8.9872 258 9.79813 9.10498 9.47270 9.6803 9.5763 259 9.79813 9.25018 9.23851 9.3382 9.5763 260 9.90349 9.79813 9.10498 9.5468 9.5763 261 9.90349 8.29405 8.11173 9.6803 9.5763 262 8.98720 9.74097 9.21034 9.5468 9.5763 263 9.79813 9.25018 9.05642 9.2103 9.5763 264 9.66581 9.25018 9.10498 9.6486 9.5763 265 9.66581 9.25018 8.88184 9.5294 9.5763 266 9.66581 9.94271 9.39266 9.3355 9.5763 267 9.92818 9.79813 9.54681 9.9523 9.5763 268 9.49802 9.79813 9.10498 9.5819 9.2103 269 9.85219 9.25018 9.16155 9.1050 9.5763 270 9.81648 9.25018 9.05642 10.1064 9.5763 271 9.66581 9.25018 8.85367 9.5294 9.5763 272 9.52272 9.79813 9.04782 9.6239 9.4399 273 9.79813 9.21034 9.21034 9.5664 9.0444 274 9.54681 9.25018 9.10498 9.5294 9.5763 275 9.66581 9.25018 8.64471 8.6995 9.5763 276 9.79813 9.79813 9.10498 9.5294 9.9035 277 9.66581 9.25018 8.41183 9.5294 9.5763 278 9.06724 9.39266 9.21034 9.5294 9.5763 279 9.90349 9.25018 9.05642 9.4980 9.5763 280 9.79813 9.47270 8.98720 9.2873 9.5763 281 9.54681 9.79813 9.05642 8.9872 9.5763 282 9.79813 9.22029 8.69951 9.6168 8.8646 283 9.78213 9.59333 8.98720 9.5104 10.0123 284 9.60675 9.22029 8.98720 9.6168 8.8646 285 9.68034 9.38069 8.92266 9.3927 8.9526 286 9.68034 9.38069 8.69951 10.0858 8.9526 287 9.47270 8.78653 8.85367 9.8313 10.0123 288 9.48715 8.93590 8.85367 10.0287 8.8286 289 9.21034 9.14846 9.21034 10.0287 8.8286 290 9.72117 9.54681 8.98720 9.6168 8.8646 291 9.21034 9.22029 8.80691 9.6168 8.8646 292 9.27488 9.22029 8.80691 9.6168 8.8646 293 9.43918 9.22029 8.80691 9.6168 8.8646 294 9.65316 9.55196 8.98720 9.7867 9.2015 295 9.39266 9.39266 9.23565 9.7867 9.2015 296 9.90349 9.55196 9.30565 9.7867 9.2015 297 9.48711 9.34244 8.69951 9.9557 9.0825 298 9.71402 9.61240 8.51719 9.8136 8.9227 299 9.90349 9.79813 9.25913 9.5178 9.2015 300 9.67578 9.55883 9.21034 9.6803 9.3927 301 9.65316 9.55196 9.23565 9.9804 9.2015 302 9.90349 9.55196 8.69951 10.2751 8.8537 303 9.39266 9.35987 8.75566 9.3854 9.1862 304 9.61581 9.31009 9.16686 9.2103 9.1278 305 9.69277 9.46843 8.92425 9.5682 8.7313 306 9.68034 9.46843 9.10498 9.5682 8.9383 307 9.54066 9.46843 8.85367 9.1150 8.9383 308 9.54066 9.46843 8.69951 9.5682 9.2103 309 9.54066 9.46843 8.85367 9.5682 8.9383 310 9.68034 9.40403 8.67161 9.4010 9.4162 311 9.54721 9.39216 8.67161 9.4010 9.4162 312 8.75246 9.40403 8.67161 9.7030 9.4162 313 9.90349 9.40403 8.67161 9.4010 9.4162 314 9.49802 9.40403 8.57030 9.4010 9.4162 315 9.21034 9.40403 8.80488 9.3157 9.4162 316 9.84843 9.40403 8.51719 9.2942 9.4162 317 9.53570 9.40403 8.67161 9.7700 9.4162 318 9.54681 9.68034 8.67161 9.4010 9.4162 319 9.68034 9.40403 8.69951 9.4010 9.3927 320 9.90349 9.40403 8.67161 9.4010 9.4162 321 9.49180 9.38047 9.39266 9.3927 10.2400 322 9.35694 9.40403 8.67161 9.3157 9.4162 323 9.71112 9.40403 8.67161 9.9159 9.4162 324 9.54681 9.38047 8.84478 9.9035 10.2400 325 9.53570 9.40403 8.67161 9.4371 9.4162 326 9.49802 9.49802 8.69951 9.6209 9.4162 327 9.76996 9.40403 8.61250 9.4010 9.4162 328 9.14135 9.40403 8.69951 9.4010 9.4162 329 9.68034 9.30565 9.10498 9.9743 9.4162 330 9.53570 9.79813 8.58173 9.9035 9.4162 331 9.5357 9.40403 8.44820 9.4010 9.4162 332 9.2103 9.40403 8.80488 8.7403 9.4162 333 9.5357 9.40403 8.29405 9.3157 9.4162 334 8.8247 9.39266 8.67161 9.1050 9.4162 335 9.5357 9.40403 8.67161 9.0200 9.4162 336 9.4035 9.40403 8.51719 9.4010 9.4162 337 9.9035 9.21034 8.67161 9.4010 9.4162 338 9.3537 9.19199 8.98720 9.7794 9.3834 339 9.8165 9.68034 8.92266 9.5051 8.9227 340 10.0858 9.68034 9.15362 9.6060 9.5468 341 9.5737 9.68034 9.05076 9.6803 8.9227 342 9.4306 9.64860 8.77956 9.6803 8.6133 343 9.3537 8.98720 9.04321 9.7794 9.3834 344 9.5813 9.31491 9.04782 9.7757 8.2940 345 9.5813 9.39266 8.97167 9.3927 8.2940 346 9.4146 9.23609 9.21034 9.5681 10.0424 347 9.5813 9.39266 8.97167 9.7757 8.2940 348 9.2350 9.44872 8.65638 9.5477 10.4839 349 9.9035 9.44872 8.47637 9.5477 11.0021 350 9.6803 9.44872 9.21034 9.5477 10.4839 351 9.4146 9.54681 9.06928 9.5681 10.0424 352 9.1050 8.16052 8.72149 8.7641 8.8537 353 9.3927 9.61696 8.92266 9.2563 8.5972 354 9.6378 9.13623 9.01999 9.1423 8.8537 355 9.3847 9.61696 9.04281 9.7212 8.5972 356 9.3847 9.61696 9.39266 9.2563 8.5972 357 9.3847 9.61696 9.04281 9.9035 8.5972 358 8.8356 9.68658 8.82468 10.0370 9.1622 359 9.3927 9.54681 9.14135 9.5694 8.9658 360 9.5667 9.30798 8.29405 9.7326 9.1622 361 9.0478 9.71296 8.73230 9.6549 9.2096 362 9.3927 9.43918 8.77956 9.6803 9.2096 363 9.2103 9.53884 8.79180 9.6549 9.2096 364 9.5667 9.39266 8.92266 9.4980 9.1622 365 9.5667 9.45720 8.79583 9.8012 9.1622 366 9.7981 9.74097 8.77956 9.6158 9.2096 367 9.5627 9.54681 9.21034 8.9227 8.9658 368 9.7119 9.90349 8.51719 9.8643 10.0819 369 9.4822 9.43348 8.98720 9.5293 9.8288 370 9.2103 9.21034 9.07258 9.0709 8.2940 371 9.1050 9.21034 9.21034 9.0709 8.2940 372 9.6158 9.34211 9.15022 9.7928 8.7623 373 9.5468 9.23584 8.79612 10.0915 8.2940 374 9.0478 9.34211 9.15022 10.0481 8.7623 375 9.6158 9.03608 9.01758 9.5155 9.5457 376 9.3534 9.34211 9.15022 9.6803 8.7623 377 8.6995 9.34211 9.15022 9.7928 8.7623 378 9.3843 9.34211 8.75358 9.7928 8.7623 379 9.6803 9.03608 9.44673 9.3157 9.5457 380 9.5468 9.23584 8.79612 10.5966 8.2940 381 9.3843 9.34211 9.15022 8.7718 8.7623 382 9.6884 9.34211 9.15022 9.7212 8.7623 383 9.1965 9.59893 8.87347 8.9787 9.6941 384 9.7945 9.59893 8.53124 9.4742 9.6941 385 9.6292 9.42144 7.90101 9.2191 9.4338 386 8.6795 9.16615 8.85587 9.5468 9.73546 387 9.9035 9.16615 8.85587 9.3660 9.73546 388 9.3692 8.29405 8.85587 9.3660 9.90349 389 9.6292 9.42144 8.37409 9.4202 9.43380 390 9.6803 9.16615 8.69951 9.1050 9.73546 391 8.5564 9.16615 8.85587 9.3660 9.73546 392 9.4727 9.16615 8.85587 9.3660 9.73546 393 9.6292 9.42144 8.63096 9.4727 9.43380 394 10.0858 9.42144 8.85367 10.3023 9.43380 395 9.3927 9.16615 8.69951 9.3660 9.73546 396 8.5895 8.98720 8.63096 9.6550 9.43380 397 9.2034 9.34535 8.77956 9.5254 8.47342 398 9.3927 9.43615 8.92266 9.9035 8.93653 399 9.5468 9.58190 9.21034 10.4631 8.93653 400 9.4727 9.34535 8.98720 9.5254 8.47342 401 8.9872 9.43615 8.92266 9.6113 8.93653 402 8.8537 9.43615 9.21034 9.6113 8.93653 403 9.2034 9.34535 8.73588 9.5254 8.47342 404 9.5468 9.43615 8.87832 9.6113 8.93653 405 8.8537 9.34535 8.69951 9.5254 8.47342 406 9.2034 9.54681 8.51719 9.5254 8.51719 407 9.2034 9.34535 8.56849 9.5254 8.47342 408 9.5413 9.17573 8.81730 9.7700 8.84042 409 8.6995 8.69951 8.81730 9.7212 8.69951 410 9.2034 9.34535 8.92266 9.5254 8.47342 411 8.9872 9.54681 8.85367 9.6113 8.51719 412 9.5670 9.55518 8.92266 9.9035 9.21034 413 9.6803 9.34535 8.85367 9.5254 8.47342 414 9.7981 8.98720 8.51719 9.5984 9.34397 415 9.7981 9.41283 8.66511 9.9035 9.77849 416 9.5468 9.22887 9.07406 9.3451 9.74097 417 9.6236 9.22887 9.15905 8.9872 9.15013 418 9.4335 9.41283 8.51719 9.6764 9.77849 419 8.9872 9.41283 8.16052 9.2298 9.77849 420 9.3927 9.25913 8.70751 9.2013 9.30565 421 9.6803 9.34683 9.04782 9.2889 9.01861 422 9.6803 9.35728 9.21034 9.7981 9.64852 423 9.4326 9.20122 8.69951 9.3514 8.96356 424 9.4757 9.39343 8.65869 9.4697 9.15542 425 9.4326 9.20122 8.77956 9.3514 8.96356 426 9.5534 9.79813 9.30565 9.1413 9.15542 427 9.3927 9.34683 8.85367 9.2889 9.01861 428 9.6803 9.54681 9.01974 9.4697 9.15542 429 9.2749 9.39343 9.21034 9.4697 8.69951 430 9.4797 9.39343 9.14135 9.4697 9.15542 431 9.9035 9.10498 9.39266 9.3514 8.85367 432 9.1050 9.34683 8.88638 9.2889 9.01861 433 8.9872 9.39343 9.47122 9.4697 9.15542 434 9.4757 9.21034 9.01974 9.4697 9.15542 435 9.4326 9.20122 8.98720 9.3514 8.96356 436 9.4326 9.20122 8.98720 9.3514 8.96356 437 9.4727 9.20122 8.95331 9.3514 8.96356 438 9.4326 9.20122 8.29405 9.3514 8.96356 439 9.5399 9.39266 9.09654 8.9872 9.64852 440 9.6253 8.98720 9.39266 9.6646 9.15542 441 9.45759 9.90349 9.39266 9.28886 9.0186 442 9.43261 9.20122 9.21034 9.35135 8.9636 443 9.43261 8.29405 8.77956 9.35135 8.9636 444 9.43261 9.39266 8.95331 9.35135 8.9636 445 9.21034 9.21034 8.69951 9.39266 9.1554 446 9.21034 9.20122 8.95331 9.35135 8.9636 447 9.43261 9.20122 8.69951 9.35135 8.9636 448 9.21034 9.34683 8.69951 9.28886 9.0186 449 9.45759 9.34683 8.69951 9.28886 9.0186 450 9.43261 9.20122 8.95331 8.80488 8.9636 451 9.68034 9.88837 9.09654 8.88184 8.6995 452 9.47572 9.39343 9.10498 9.46974 7.6009 453 9.45759 8.98720 8.98720 9.28886 9.0186 454 9.43261 8.51719 8.95331 9.35135 8.9636 455 9.43261 9.21034 8.29405 9.35135 8.9636 456 9.54681 9.35728 9.10498 9.10498 9.6485 457 9.68034 9.39343 8.98720 9.65929 9.1554 458 9.45759 9.34683 8.85367 9.68034 9.0186 459 9.79813 9.79813 8.92266 9.68034 9.3927 460 9.43261 9.20122 9.21034 9.35135 8.9636 461 9.61581 9.20122 8.65696 9.39266 8.9636 462 9.68034 9.35728 9.21034 9.46328 10.2020 463 9.39266 9.21034 9.39266 9.43348 9.1554 464 9.21034 9.21034 8.95331 9.39266 8.9636 465 9.45759 9.34683 8.92266 9.28886 9.0186 466 9.39266 9.43348 9.10498 9.39266 9.6158 467 9.21034 8.98720 8.85367 9.28886 9.0186 468 9.74934 8.51719 9.21034 9.28886 9.0186 469 9.45759 9.34683 8.79049 9.28886 9.0186 470 9.43261 9.21034 9.04782 9.41101 8.9636 471 9.21034 9.21034 8.95331 9.35135 8.9636 472 9.44910 9.54681 8.98720 9.34496 9.4567 473 9.41466 9.39266 8.98720 9.28815 8.4802 474 9.72117 9.53533 8.69951 9.47270 9.2103 475 9.41466 9.25620 8.95545 9.28815 7.8240 476 9.27488 9.25620 9.10498 9.28815 8.4802 477 9.49802 9.57631 8.93758 9.46119 8.9554 478 9.41466 9.21034 8.99388 9.28815 8.4802 479 9.18119 9.47270 8.74194 9.46119 8.6424 480 9.61657 9.53533 8.92266 9.61664 9.4512 481 9.79613 9.45298 8.82100 9.50586 8.6570 482 9.30489 9.68034 8.69951 9.21034 9.1696 483 9.53437 9.39266 8.61855 9.32664 8.3980 484 9.30489 9.40418 8.69951 9.29573 9.1696 485 9.30489 9.10498 8.85367 9.21034 9.1696 486 9.39266 9.40418 8.69951 9.29573 9.1696 487 9.30489 9.40418 8.51719 9.72117 9.1696 488 9.30489 9.62905 8.77956 9.29573 9.1696 489 9.53437 8.51719 8.69951 9.32664 8.3980 490 9.68034 9.27488 9.10498 9.27488 9.9035 491 9.61581 9.60973 9.10498 9.32686 9.7757 492 9.48858 9.60973 9.21034 9.32686 9.7757 493 9.39266 9.60973 9.07646 9.32686 9.7757 494 9.48858 9.60973 9.10498 9.32686 9.7757 495 8.98720 9.60973 9.07646 9.32686 9.7757 496 9.43845 9.52680 8.98720 9.51189 8.98720 497 9.61581 9.60973 9.07646 9.32686 9.77565 498 9.63778 9.68034 9.07646 9.90349 9.77565 499 9.45720 9.63114 9.21034 8.98720 9.77565 500 9.48797 9.47120 8.98720 9.27488 9.90349 * OBS INCOME X1 X2 X3 X4 X5 X6 + 11 12 13 14 15 16 17 1 7.76020 2 4 0.03970 1 0.33 1 2 7.58784 5 10 0.07313 1 0.40 1 3 6.94724 2 6 0.04680 1 0.41 1 4 5.01064 3 3 0.02004 1 0.53 1 5 7.58961 3 5 0.02781 1 0.27 1 6 7.67293 2 5 0.03618 1 0.31 1 7 6.87009 3 3 0.04221 2 0.55 1 8 8.92820 5 10 0.00000 1 0.48 2 9 7.90580 5 6 0.00905 1 0.59 1 10 7.59472 4 5 0.04523 1 0.41 1 11 6.21461 5 4 0.00704 1 0.46 1 12 9.25900 4 7 0.01658 2 0.49 1 13 8.75900 4 8 0.03618 1 0.32 1 14 8.17847 2 4 0.02492 1 0.23 1 15 7.95351 2 5 0.04500 2 0.33 1 16 7.67833 3 3 0.05252 1 0.26 1 17 8.35713 5 5 0.04138 1 0.35 1 18 6.95811 3 2 0.03618 1 0.24 1 19 7.41842 2 4 0.02412 1 0.23 1 20 8.97017 5 7 0.03015 1 0.57 1 21 8.40376 5 7 0.09605 1 0.43 1 22 6.21461 3 4 0.04523 1 0.22 1 23 8.69521 5 2 0.17085 1 0.33 1 24 7.31322 2 2 0.01500 2 0.68 1 25 8.68609 2 2 0.04824 2 0.49 1 26 6.21461 5 3 0.01878 1 0.25 1 27 8.41183 5 3 0.10056 1 0.43 1 28 8.72591 2 2 0.03745 2 0.59 1 29 8.67106 5 8 0.04480 1 0.44 1 30 7.31322 4 5 0.02568 1 0.41 1 31 6.90776 5 5 0.01364 1 0.28 1 32 6.21461 5 4 0.02431 1 0.30 1 33 8.96985 5 10 0.02750 1 0.42 1 34 8.41183 4 4 0.04245 1 0.32 1 35 8.69267 4 7 0.04245 1 0.26 2 36 7.31322 5 7 0.01109 1 0.44 2 37 8.44083 3 7 0.00444 2 0.78 1 38 8.13037 1 4 0.03035 1 0.48 1 39 7.62776 1 3 0.00450 2 0.85 1 40 7.82405 3 4 0.03552 1 0.53 1 41 7.60090 1 5 0.10200 1 0.49 1 42 7.76634 1 4 0.03015 1 0.37 1 43 6.21461 3 4 0.01332 1 0.19 1 44 6.21461 5 1 0.00386 2 0.58 2 45 8.77921 1 4 0.18360 1 0.51 1 46 7.92215 4 7 0.06039 1 0.54 1 47 9.09710 4 7 0.05443 1 0.51 1 48 6.85964 1 1 0.00900 2 0.82 2 49 5.52146 5 3 0.03150 1 0.97 1 50 8.16588 1 6 0.05141 1 0.38 1 51 8.79034 1 2 0.07200 1 0.67 1 52 6.43775 5 5 0.01658 1 0.29 2 53 7.60090 5 6 0.02059 1 0.58 1 54 6.90776 5 4 0.02284 1 0.20 1 55 6.90520 5 4 0.08585 1 0.40 1 56 7.60661 5 3 0.01491 1 0.27 1 57 6.21461 5 9 0.01447 1 0.50 1 58 7.49156 5 6 0.00000 1 0.41 1 59 7.54516 5 4 0.01508 1 0.31 1 60 8.21574 1 10 0.02849 1 0.52 1 61 7.96051 3 6 0.03910 1 0.50 1 62 6.86636 5 4 0.02422 1 0.30 1 63 7.30351 5 2 0.00121 2 0.55 1 64 7.77654 2 5 0.02721 1 0.34 1 65 8.17595 2 2 0.00000 1 0.32 1 66 7.79264 2 8 0.01218 1 0.43 1 67 8.67815 2 4 0.02563 1 0.20 1 68 7.92215 2 6 0.02780 1 0.37 1 69 8.27390 2 8 0.00000 1 0.64 1 70 8.83332 2 9 0.03611 1 0.69 1 71 9.06697 2 4 0.02563 1 0.37 1 72 6.90776 5 5 0.01717 1 0.23 1 73 8.51719 2 5 0.00000 2 0.77 2 74 7.46737 5 3 0.03573 1 0.24 2 75 7.31322 5 5 0.00663 1 0.75 2 76 9.09007 2 4 0.03799 1 0.47 1 77 7.49554 2 5 0.02050 1 0.32 1 78 6.58751 5 5 0.02834 1 0.57 1 79 7.08425 4 1 0.05420 1 0.34 1 80 6.62007 2 1 0.03199 2 0.58 1 81 6.90776 3 3 0.39075 1 0.28 1 82 6.41216 2 4 0.02186 1 0.23 1 83 8.51325 2 7 0.06512 1 0.45 1 84 8.19155 4 6 0.05180 1 0.38 1 85 6.21461 3 3 0.01615 1 0.57 1 86 6.90776 5 4 0.01688 1 0.50 1 87 7.98671 2 6 0.22914 1 0.54 1 88 9.16672 2 5 0.08462 1 0.58 1 89 8.18646 2 7 0.04335 1 0.33 1 90 6.91010 5 3 0.01344 1 0.72 2 91 6.90776 5 5 0.15125 1 0.40 1 92 7.80367 1 4 0.06246 1 0.61 1 93 8.02720 1 4 0.01809 1 0.28 1 94 8.30665 1 4 0.03015 1 0.40 1 95 6.43775 1 4 0.02478 2 0.38 1 96 7.97980 1 7 0.01140 1 0.68 1 97 7.60090 1 7 0.04221 1 0.34 1 98 8.50834 1 5 0.08832 1 0.31 1 99 8.16205 1 5 0.00000 1 0.85 1 100 8.29055 1 8 0.03528 1 0.53 1 101 7.98675 1 3 0.02875 1 0.19 1 102 6.90776 1 3 0.05185 1 0.36 1 103 7.87421 1 9 0.04221 1 0.36 1 104 9.04223 1 6 0.01809 1 0.54 2 105 7.57561 1 4 0.01005 1 0.37 1 106 8.71929 1 4 0.08840 1 0.34 1 107 9.01790 1 12 0.03015 1 0.50 1 108 7.02934 1 1 0.09422 2 0.47 1 109 8.47601 1 9 0.02062 2 0.72 1 110 8.92266 1 5 0.00810 2 0.58 1 111 6.75481 1 2 0.08613 1 0.39 1 112 8.40479 1 5 0.03083 1 0.43 1 113 8.36787 1 5 0.02550 1 0.57 2 114 8.49476 1 10 0.04200 1 0.62 1 115 9.12254 1 4 0.11900 1 0.48 1 116 7.31290 1 2 0.15527 1 0.27 1 117 8.38469 1 5 0.03400 1 0.42 1 118 8.10967 1 5 0.04221 1 0.52 1 119 8.00254 1 7 0.04040 2 0.45 1 120 7.57707 1 2 0.02412 1 0.29 1 121 7.97877 1 2 0.02247 2 0.37 1 122 8.00607 1 6 0.02291 1 0.38 1 123 8.92042 1 5 0.01200 2 0.56 1 124 6.90776 5 3 0.01809 1 0.24 1 125 8.49888 1 2 0.20953 1 0.31 1 126 8.66636 1 8 0.03040 1 0.38 1 127 8.80974 1 5 0.09045 1 0.60 1 128 8.78259 1 5 0.02111 1 0.30 1 129 8.56794 1 4 0.10854 1 0.31 1 130 7.81458 1 4 0.09911 1 0.65 1 131 8.18851 1 3 0.03678 1 0.34 1 132 7.95057 1 3 0.02613 1 0.27 1 133 8.64568 1 6 0.00000 1 0.59 1 134 8.75173 1 8 0.02550 1 0.60 1 135 7.85803 1 5 0.01508 1 0.36 1 136 8.19791 1 3 0.07136 2 0.44 1 137 9.15037 1 4 0.36180 1 0.51 1 138 8.15364 1 4 0.09180 1 0.57 1 139 8.35635 1 5 0.01759 1 0.23 1 140 7.37380 1 4 0.02412 2 0.42 1 141 6.90776 1 2 0.00600 1 0.25 1 142 8.41976 1 6 0.06412 1 0.30 1 143 8.80434 1 5 0.06540 1 0.45 1 144 7.82646 1 2 0.02714 2 0.32 1 145 6.90776 5 3 0.02513 1 0.17 1 146 7.31196 1 3 0.03618 1 0.24 1 147 7.58068 1 4 0.03015 1 0.35 1 148 7.66406 1 5 0.03618 1 0.34 1 149 8.21408 1 5 0.09045 1 0.32 1 150 8.76797 1 4 0.35233 1 0.36 1 151 8.31503 1 4 0.03161 1 0.26 1 152 7.80623 1 4 0.01789 1 0.29 1 153 8.61231 1 4 0.00000 2 0.86 1 154 8.23599 1 4 0.03618 1 0.27 1 155 6.27403 1 3 0.02412 2 0.32 1 156 6.77674 1 2 0.03015 1 0.25 1 157 8.48570 1 4 0.06832 2 0.52 1 158 8.14474 1 7 0.00000 2 0.74 2 159 7.60090 3 3 0.01809 1 0.21 1 160 7.77419 1 11 0.00136 1 0.73 1 161 8.60367 2 6 0.02490 1 0.59 1 162 6.39189 2 2 0.00000 1 0.31 0 163 6.90776 5 2 0.01206 1 0.25 1 164 6.90776 5 5 0.02111 1 0.31 1 165 5.99146 2 6 0.02241 1 0.39 1 166 6.90776 5 6 0.00000 1 0.63 2 167 8.60364 3 7 0.01055 1 0.50 1 168 8.06923 3 2 0.07071 1 0.49 1 169 7.31322 5 6 0.00000 1 0.50 0 170 8.85210 5 8 0.02412 1 0.47 1 171 6.90776 3 6 0.00377 1 0.41 1 172 7.60090 5 7 0.00279 1 0.42 1 173 7.80299 2 5 0.03309 1 0.40 2 174 7.71601 2 6 0.11263 1 0.35 1 175 6.90776 5 6 0.01236 1 0.46 1 176 7.55840 5 2 0.01206 1 0.62 2 177 7.28343 2 6 0.02714 1 0.43 1 178 5.52146 2 1 0.00540 2 0.66 2 179 8.00637 2 5 0.01568 1 0.28 1 180 7.60090 1 5 0.01206 1 0.51 1 181 8.24853 3 5 0.00000 2 0.62 2 182 7.30744 3 10 0.01206 1 0.25 1 183 7.74295 1 6 0.02380 1 0.40 1 184 6.90776 3 4 0.02412 1 0.50 1 185 7.98944 3 9 0.02171 1 0.37 2 186 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6.64470 5 3 0.02792 1 0.70 1 308 6.58855 5 5 0.01642 1 0.37 1 309 6.90776 5 2 0.00721 1 0.37 1 310 7.13090 1 3 0.07236 1 0.30 1 311 7.22758 1 2 0.03133 1 0.21 1 312 8.63269 1 8 0.04075 1 0.55 1 313 6.90776 1 3 0.09015 1 0.65 1 314 8.38351 1 5 0.03548 1 0.42 1 315 8.23393 1 5 0.02593 1 0.29 1 316 8.99649 1 6 0.07397 1 0.51 1 317 5.29832 1 3 0.01447 1 0.19 1 318 7.82254 1 6 0.01002 1 0.64 1 319 8.83781 1 5 0.15075 1 0.41 1 320 6.21461 1 5 0.03239 2 0.38 1 321 7.64969 5 2 0.02039 1 0.66 1 322 8.11352 1 6 0.01910 1 0.42 1 323 8.06585 1 6 0.03483 1 0.37 1 324 7.19433 5 5 0.01354 2 0.38 1 325 8.61250 1 5 0.06935 1 0.57 1 326 8.25081 1 5 0.02291 1 0.45 1 327 8.15098 1 5 0.03015 1 0.34 1 328 7.69528 1 5 0.00000 1 0.72 0 329 9.42343 1 5 0.68970 1 0.67 1 330 7.84195 1 4 0.09045 2 0.39 1 331 8.00637 1 2 0.03900 1 0.30 1 332 8.68917 1 5 0.04197 1 0.41 1 333 7.43077 1 4 0.02412 1 0.28 1 334 8.26127 1 3 0.02784 1 0.30 1 335 7.31322 1 1 0.02357 2 0.46 2 336 8.09396 1 7 0.04857 1 0.53 1 337 7.08104 1 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0 0.0 0.084 1 1 5 0 21 2 0 0.1 0.052 1 1 5 0 22 2 0 0.3 0.048 2 0 2 0 23 2 0 0.8 0.020 0 0 2 0 24 2 0 0.1 0.000 0 1 0 1 25 2 0 0.8 0.023 0 0 2 0 26 2 0 0.2 0.048 1 0 2 0 27 2 0 0.1 0.048 0 1 2 0 28 2 0 0.1 0.000 0 0 2 0 29 2 0 0.1 0.032 3 2 3 0 30 2 0 0.2 0.010 2 1 2 0 31 2 0 0.1 0.040 1 2 2 0 32 2 0 0.2 0.025 1 1 2 0 33 2 0 0.1 0.042 0 4 6 0 34 2 0 0.2 0.042 2 0 2 0 35 2 0 0.0 0.050 2 3 2 0 36 2 0 0.0 0.056 0 1 6 0 37 2 0 0.1 0.014 0 3 3 1 38 2 0 0.1 0.060 0 1 3 0 39 2 0 0.2 0.000 0 1 1 1 40 2 0 0.1 0.056 0 0 4 0 41 2 0 0.4 0.050 0 1 4 0 42 2 0 0.2 0.048 0 2 2 0 43 2 0 0.4 0.072 2 0 2 0 44 2 0 0.0 0.012 0 0 1 0 45 2 0 0.2 0.056 0 0 4 0 46 2 0 0.4 0.042 1 0 6 0 47 2 0 0.1 0.048 0 0 7 0 48 2 0 0.0 0.000 0 0 0 1 49 2 0 0.4 0.000 0 0 1 2 50 2 0 0.2 0.028 0 3 3 0 51 2 0 0.6 0.000 0 0 1 1 52 2 0 0.0 0.030 3 0 2 0 53 2 0 0.1 0.048 0 1 5 0 54 2 0 0.2 0.060 2 0 2 0 55 2 0 0.1 0.036 1 0 3 0 56 2 0 0.2 0.035 1 0 2 0 57 2 0 0.1 0.054 1 2 6 0 58 2 0 0.2 0.000 0 0 6 0 59 2 0 0.1 0.020 1 1 2 0 60 2 0 0.2 0.048 1 3 6 0 61 2 0 0.1 0.030 1 0 5 0 62 2 0 0.1 0.048 1 1 2 0 63 2 0 0.1 0.048 0 0 2 0 64 2 0 0.1 0.060 3 0 2 0 65 2 0 0.9 0.048 0 0 2 0 66 2 0 0.2 0.048 0 3 5 0 67 2 0 0.6 0.048 2 0 2 0 68 2 0 0.1 0.048 0 1 5 0 69 2 0 0.1 0.000 1 0 5 2 70 2 0 0.0 0.020 1 1 6 1 71 2 0 0.6 0.025 1 1 2 0 72 2 0 0.1 0.024 3 0 2 0 73 2 0 0.0 0.000 0 0 4 1 74 2 0 0.0 0.048 1 0 2 0 75 2 0 0.0 0.048 1 0 3 1 76 2 0 0.2 0.036 0 0 4 0 77 2 0 0.4 0.072 1 2 2 0 78 2 0 0.1 0.091 0 0 5 0 79 2 0 0.2 0.040 0 0 1 0 80 2 0 0.2 0.025 0 0 1 0 81 2 0 0.7 0.070 1 0 2 0 82 2 0 0.3 0.049 2 0 2 0 83 2 0 0.4 0.030 0 0 7 0 84 2 0 0.2 0.048 1 1 4 0 85 2 0 0.1 0.040 0 0 3 0 86 2 0 0.1 0.040 0 0 4 0 87 2 0 0.8 0.048 0 1 5 0 88 2 0 0.8 0.048 1 0 4 0 89 2 0 0.1 0.040 3 1 3 0 90 2 0 0.0 0.000 0 1 0 2 91 2 0 0.2 0.060 3 0 2 0 92 2 0 0.1 0.046 0 1 2 1 93 2 0 0.2 0.048 1 1 2 0 94 2 0 0.4 0.040 0 0 4 0 95 2 0 0.2 0.014 0 0 4 0 96 2 0 0.4 0.000 0 1 5 1 97 2 0 0.2 0.072 2 3 2 0 98 2 0 0.6 0.070 1 1 3 0 99 2 0 0.1 0.000 0 0 4 1 100 2 0 0.3 0.048 1 1 6 0 101 2 0 0.3 0.040 1 0 2 0 102 2 0 0.6 0.063 1 0 2 0 103 2 0 0.6 0.050 2 3 3 1 104 2 0 0.0 0.050 1 0 5 0 105 2 0 0.6 0.040 0 2 2 0 106 2 0 0.5 0.058 0 2 2 0 107 2 0 0.1 0.060 1 1 10 0 108 2 0 0.4 0.040 0 0 1 0 109 2 0 0.4 0.000 1 1 6 1 110 2 0 0.1 0.000 0 0 5 0 111 2 0 0.4 0.030 0 0 2 0 112 2 0 0.7 0.040 0 2 3 0 113 2 0 0.0 0.036 0 0 5 0 114 2 0 0.1 0.000 1 2 6 1 115 2 0 0.2 0.040 0 0 4 0 116 2 0 0.7 0.050 0 0 2 0 117 2 0 0.4 0.010 0 0 5 0 118 2 0 0.1 0.052 0 0 5 0 119 2 0 0.1 0.042 0 2 4 1 120 2 0 0.6 0.048 0 0 2 0 121 2 0 0.4 0.048 0 0 2 0 122 2 0 0.4 0.048 1 3 2 0 123 2 0 0.1 0.000 2 0 3 0 124 2 0 0.4 0.060 1 0 2 0 125 2 0 0.8 0.050 0 0 2 0 126 2 0 0.4 0.048 0 4 4 0 127 2 0 0.8 0.040 0 0 5 0 128 2 0 0.4 0.040 0 1 4 0 129 2 0 0.8 0.035 1 1 2 0 130 2 0 0.4 0.049 0 0 2 2 131 2 0 0.6 0.040 0 0 2 1 132 2 0 0.4 0.040 1 0 2 0 133 2 0 0.2 0.000 0 0 6 0 134 2 0 0.1 0.063 2 0 5 1 135 2 0 0.1 0.040 0 2 3 0 136 2 0 0.4 0.040 0 0 3 0 137 2 0 0.8 0.048 0 0 4 0 138 2 0 0.1 0.030 1 0 3 0 139 2 0 0.3 0.050 2 0 3 0 140 2 0 0.1 0.048 0 0 3 1 141 2 0 0.4 0.000 0 0 2 0 142 2 0 0.4 0.064 1 2 2 1 143 2 0 0.4 0.045 0 1 4 0 144 2 0 0.7 0.040 0 0 2 0 145 2 0 0.2 0.048 1 0 2 0 146 2 0 0.9 0.050 1 0 2 0 147 2 0 0.6 0.048 2 0 2 0 148 2 0 0.2 0.084 0 3 2 0 149 1 1 0.7 0.040 0 2 3 0 150 2 0 0.8 0.020 2 0 2 0 151 2 0 0.4 0.060 2 0 2 0 152 2 0 0.2 0.054 2 0 2 0 153 2 0 0.1 0.000 0 0 2 2 154 2 0 0.4 0.040 2 0 2 0 155 2 0 0.5 0.040 0 2 1 0 156 2 0 0.6 0.046 0 0 2 0 157 2 0 0.3 0.030 0 0 4 0 158 2 0 0.0 0.000 2 0 4 1 159 2 0 0.2 0.048 1 0 2 0 160 2 0 0.1 0.012 1 4 4 2 161 2 0 0.1 0.048 0 2 4 0 162 0 0 0.0 0.000 0 1 2 0 163 2 0 0.4 0.040 0 0 2 0 164 2 0 0.2 0.072 1 2 2 0 165 2 0 0.2 0.048 1 0 5 0 166 2 0 0.0 0.060 0 1 4 1 167 2 0 0.1 0.042 0 0 7 0 168 2 0 0.2 0.000 0 0 2 0 169 0 0 0.0 0.000 0 2 4 1 170 2 0 0.1 0.042 0 0 8 0 171 2 0 0.3 0.000 1 1 4 0 172 2 0 0.0 0.040 1 2 4 0 173 2 0 0.0 0.036 1 1 3 0 174 2 0 0.2 0.070 1 2 3 0 175 2 0 0.1 0.048 0 2 4 0 176 2 0 0.0 0.060 0 0 0 2 177 2 0 0.2 0.056 2 2 2 0 178 2 0 0.0 0.000 0 0 0 1 179 2 0 0.1 0.048 2 1 2 0 180 2 0 0.0 0.058 0 1 4 0 181 2 0 0.0 0.000 1 0 3 1 182 2 0 0.1 0.048 3 2 5 0 183 2 0 0.1 0.050 1 1 4 0 184 2 0 0.1 0.060 0 0 4 0 185 2 0 0.0 0.054 2 3 4 0 186 0 0 0.0 0.000 0 0 4 0 187 2 0 0.1 0.024 3 2 2 0 188 2 0 0.5 0.040 2 0 2 0 189 2 0 0.1 0.048 1 1 2 0 190 2 0 0.1 0.040 3 0 2 2 191 2 0 0.0 0.021 0 0 1 2 192 2 0 0.2 0.040 0 0 0 2 193 2 0 0.0 0.045 0 0 3 0 194 2 0 0.1 0.060 0 0 5 0 195 2 0 0.2 0.048 0 1 3 0 196 2 0 0.1 0.010 1 1 6 1 197 2 0 0.8 0.077 1 0 6 0 198 2 0 0.1 0.000 0 0 3 0 199 2 0 0.6 0.048 1 3 3 0 200 2 0 0.6 0.020 1 0 2 0 201 2 0 0.1 0.054 5 1 7 1 202 2 0 0.4 0.040 0 1 3 0 203 2 0 0.1 0.050 0 1 2 0 204 2 0 0.4 0.042 3 2 2 0 205 2 0 0.0 0.024 0 0 1 1 206 2 0 0.0 0.054 2 0 4 0 207 2 0 0.4 0.035 0 0 4 0 208 2 0 0.1 0.066 0 0 5 0 209 2 0 0.5 0.049 1 0 2 0 210 2 0 0.2 0.048 1 0 2 0 211 2 0 0.0 0.000 0 0 4 1 212 2 0 0.2 0.036 2 3 2 0 213 2 0 0.7 0.050 2 0 2 0 214 2 0 0.4 0.048 2 3 2 0 215 2 0 0.2 0.040 1 2 4 0 216 2 0 0.2 0.035 1 0 6 0 217 2 0 0.2 0.077 0 2 4 0 218 2 0 0.8 0.045 3 0 2 0 219 2 0 0.1 0.000 2 0 7 1 220 2 0 0.2 0.048 0 0 7 2 221 2 0 0.3 0.036 0 0 5 0 222 2 0 0.7 0.050 0 1 3 0 223 2 0 0.4 0.038 2 0 2 0 224 2 0 0.4 0.045 1 1 2 0 225 0 0 0.0 0.000 0 1 5 0 226 1 1 0.5 0.072 0 0 2 0 227 2 0 0.1 0.020 3 1 5 0 228 2 0 0.1 0.048 0 0 7 0 229 2 0 0.2 0.045 0 0 10 0 230 2 0 0.1 0.000 1 2 4 0 231 2 0 0.2 0.040 0 3 2 0 232 2 0 0.3 0.060 2 0 2 0 233 1 2 0.1 0.036 0 0 4 0 234 2 0 0.3 0.054 2 0 2 0 235 2 0 0.4 0.048 0 0 3 0 236 2 0 0.4 0.048 1 2 3 0 237 2 0 0.2 0.048 1 1 2 0 238 2 0 0.2 0.000 0 0 3 0 239 2 0 0.1 0.050 0 0 4 0 240 2 0 0.1 0.040 0 0 7 0 241 2 0 0.2 0.040 2 1 2 0 242 2 0 0.2 0.030 0 2 5 0 243 2 0 0.1 0.035 0 3 2 0 244 2 0 0.6 0.040 0 1 3 0 245 2 0 0.7 0.078 3 1 2 0 246 2 0 0.1 0.070 0 0 3 0 247 2 0 0.5 0.000 1 0 2 0 248 2 0 0.8 0.045 2 0 4 0 249 2 0 0.8 0.040 0 0 2 1 250 2 0 0.4 0.050 0 1 2 0 251 2 0 0.2 0.045 0 2 2 0 252 2 0 0.6 0.060 1 0 2 0 253 2 0 0.2 0.027 3 1 3 0 254 2 0 0.4 0.040 0 0 3 0 255 2 0 0.1 0.060 0 0 4 0 256 2 0 0.8 0.040 2 0 3 0 257 2 0 0.1 0.040 1 3 2 0 258 2 0 0.2 0.040 0 0 5 0 259 1 1 0.7 0.025 1 0 2 0 260 2 0 0.0 0.034 0 1 4 0 261 2 0 0.2 0.048 0 3 2 0 262 2 0 0.4 0.050 1 0 2 0 263 2 0 0.2 0.040 0 1 2 0 264 2 0 0.4 0.048 1 0 2 0 265 2 0 0.2 0.020 1 0 2 0 266 2 0 0.2 0.000 1 0 3 1 267 2 0 0.8 0.035 0 0 5 0 268 2 0 0.8 0.070 0 2 2 0 269 2 0 0.0 0.000 0 0 5 1 270 1 1 0.7 0.040 1 0 2 0 271 2 0 0.2 0.030 1 0 2 1 272 2 0 0.4 0.048 3 2 2 0 273 2 0 0.1 0.070 0 2 7 0 274 2 0 0.0 0.054 0 0 1 2 275 2 0 0.6 0.040 0 0 3 0 276 2 0 0.2 0.084 0 2 5 0 277 2 0 0.4 0.048 1 3 1 0 278 2 0 0.2 0.070 0 0 0 2 279 2 0 0.1 0.022 0 0 6 0 280 2 0 0.2 0.054 1 0 2 0 281 2 0 0.2 0.000 0 0 4 0 282 0 0 0.0 0.000 0 1 3 1 283 2 0 0.3 0.085 2 0 2 0 284 2 0 0.3 0.040 1 0 2 0 285 2 0 0.2 0.060 1 2 3 0 286 2 0 0.0 0.000 2 1 2 0 287 2 0 0.2 0.075 0 2 2 0 288 2 0 0.1 0.000 0 0 1 2 289 2 0 0.1 0.000 1 2 2 0 290 2 0 0.6 0.040 0 0 3 0 291 2 0 0.0 0.060 1 0 2 0 292 2 0 0.1 0.012 0 2 2 0 293 2 0 0.2 0.044 2 1 2 0 294 2 0 0.0 0.040 0 0 3 0 295 2 0 0.0 0.040 0 4 3 0 296 2 0 0.0 0.040 2 0 2 2 297 2 0 0.2 0.000 1 1 3 0 298 2 0 0.0 0.000 0 0 0 1 299 2 0 0.4 0.050 1 0 2 0 300 2 0 0.0 0.040 2 1 3 0 301 1 2 0.5 0.048 2 0 2 0 302 2 0 0.4 0.081 0 1 4 0 303 2 0 0.4 0.020 1 1 3 0 304 2 0 0.6 0.000 2 0 2 0 305 2 0 0.1 0.088 0 0 2 1 306 2 0 0.2 0.048 1 0 2 0 307 2 0 0.1 0.040 0 0 2 1 308 2 0 0.2 0.036 1 2 2 0 309 2 0 0.1 0.048 0 0 2 0 310 2 0 0.7 0.048 1 0 2 0 311 2 0 0.4 0.048 0 0 2 0 312 2 0 0.4 0.045 1 0 7 0 313 2 0 0.4 0.045 0 0 2 1 314 2 0 0.1 0.048 0 1 4 0 315 2 0 0.4 0.048 3 0 2 0 316 2 0 0.7 0.048 0 2 4 0 317 2 0 0.4 0.048 1 0 2 0 318 2 0 0.2 0.000 0 0 5 1 319 2 0 0.8 0.040 0 1 4 0 320 2 0 0.2 0.040 0 0 5 0 321 2 0 0.0 0.060 0 0 0 2 322 2 0 0.2 0.048 0 1 5 0 323 2 0 0.4 0.060 1 1 4 0 324 2 0 0.1 0.010 1 1 3 0 325 2 0 0.2 0.056 0 0 5 0 326 2 0 0.2 0.048 0 1 4 0 327 2 0 0.2 0.064 2 1 2 0 328 0 0 0.0 0.000 0 0 5 1 329 2 0 0.8 0.035 0 0 4 1 330 2 0 0.8 0.030 0 0 3 1 331 1 1 0.7 0.000 0 0 2 0 332 1 1 0.2 0.048 0 3 2 0 333 2 0 0.4 0.064 1 1 2 0 334 2 0 0.5 0.088 0 1 2 0 335 2 0 0.0 0.048 0 0 1 0 336 2 0 0.2 0.048 0 0 7 0 337 2 0 0.4 0.056 1 0 2 0 338 2 0 0.0 0.070 2 1 1 0 339 2 0 0.1 0.077 0 2 2 0 340 1 1 0.6 0.000 0 0 1 0 341 2 0 0.4 0.030 0 0 1 0 342 2 0 0.7 0.036 2 1 3 0 343 2 0 0.0 0.048 0 2 7 0 344 2 0 0.1 0.036 0 1 4 0 345 2 0 0.1 0.036 3 3 6 0 346 2 0 0.0 0.060 1 0 2 0 347 2 0 0.1 0.030 4 5 5 1 348 2 0 0.1 0.000 0 0 3 0 349 2 0 0.6 0.045 1 1 5 0 350 2 0 0.0 0.000 0 0 0 1 351 2 0 0.0 0.024 0 0 4 0 352 2 0 0.4 0.048 1 2 3 1 353 0 0 0.0 0.000 0 0 0 3 354 1 1 0.2 0.040 2 0 2 0 355 2 0 0.2 0.030 1 2 3 1 356 0 0 0.0 0.000 1 3 3 0 357 2 0 0.0 0.054 0 1 2 0 358 2 0 0.2 0.048 0 1 2 0 359 2 0 0.4 0.042 1 1 2 0 360 2 0 0.5 0.048 0 0 1 0 361 2 0 0.1 0.000 3 4 7 0 362 2 0 0.4 0.048 3 1 2 0 363 2 0 0.0 0.048 0 0 3 0 364 2 0 0.5 0.048 1 2 4 0 365 2 0 0.2 0.024 0 2 2 0 366 2 0 0.6 0.016 1 0 4 0 367 2 0 0.1 0.028 0 0 2 0 368 2 0 0.2 0.048 3 1 2 0 369 2 0 0.6 0.050 0 1 10 0 370 2 0 0.2 0.024 1 4 2 0 371 2 0 0.1 0.000 0 0 1 1 372 2 0 0.2 0.025 0 2 3 0 373 2 0 0.2 0.069 1 1 3 0 374 2 0 0.1 0.038 0 0 6 0 375 2 0 0.8 0.035 2 1 2 0 376 2 0 0.0 0.000 1 0 2 0 377 2 0 0.0 0.000 0 0 2 0 378 2 0 0.2 0.048 1 0 5 0 379 2 0 0.0 0.049 2 1 2 0 380 2 0 0.0 0.050 0 0 4 0 381 2 0 0.1 0.072 0 0 4 0 382 2 0 0.2 0.042 1 0 2 0 383 2 0 0.1 0.040 0 0 5 2 384 2 0 0.2 0.000 0 0 1 1 385 2 0 0.6 0.048 1 0 3 0 386 2 0 0.1 0.030 1 0 3 0 387 2 0 0.0 0.024 2 4 4 0 388 2 0 0.0 0.000 1 3 3 2 389 2 0 0.8 0.048 1 0 7 0 390 2 0 0.0 0.000 1 3 4 1 391 2 0 0.1 0.048 2 4 2 0 392 2 0 0.1 0.000 0 0 1 2 393 2 0 0.1 0.060 0 1 6 0 394 1 1 0.7 0.064 1 1 2 0 395 2 0 0.0 0.000 0 0 2 1 396 2 0 0.1 0.000 0 0 2 0 397 2 0 0.1 0.035 5 0 2 0 398 2 0 0.6 0.035 1 1 2 0 399 2 0 0.7 0.072 2 0 2 0 400 2 0 0.1 0.048 2 4 3 0 401 2 0 0.1 0.060 0 2 4 0 402 2 0 0.2 0.000 1 1 2 0 403 2 0 0.4 0.072 4 1 2 0 404 2 0 0.1 0.048 1 1 2 0 405 2 0 0.2 0.054 0 0 2 0 406 2 0 0.1 0.072 2 3 4 0 407 2 0 0.2 0.036 1 3 2 0 408 2 0 0.2 0.048 0 1 4 0 409 2 0 0.1 0.040 0 1 5 0 410 2 0 0.1 0.048 0 1 6 0 411 2 0 0.1 0.048 0 0 3 0 412 2 0 0.0 0.051 0 3 2 0 413 2 0 0.2 0.072 0 4 4 0 414 2 0 0.1 0.042 2 1 4 0 415 2 0 0.4 0.056 0 1 5 0 416 2 0 0.2 0.096 1 1 2 0 417 2 0 0.4 0.048 3 0 3 0 418 2 0 0.2 0.048 0 1 4 0 419 2 0 0.1 0.040 2 0 2 1 420 2 0 0.0 0.051 2 1 2 0 421 2 0 0.1 0.063 0 0 4 0 422 2 0 0.7 0.045 0 1 1 0 423 2 0 0.0 0.070 0 0 2 2 424 2 0 0.1 0.000 0 0 0 1 425 2 0 0.1 0.040 1 2 4 0 426 2 0 0.2 0.021 0 0 2 1 427 2 0 0.1 0.048 2 2 2 0 428 2 0 0.5 0.050 1 0 2 0 429 2 0 0.3 0.048 2 0 2 0 430 2 0 0.3 0.070 0 1 3 2 431 2 0 0.1 0.025 0 1 2 2 432 2 0 0.1 0.048 0 2 4 0 433 2 0 0.7 0.056 0 0 2 0 434 2 0 0.0 0.000 0 1 2 1 435 2 0 0.1 0.010 0 1 3 0 436 2 0 0.2 0.021 2 0 2 0 437 2 0 0.2 0.045 0 2 3 0 438 2 0 0.1 0.063 0 2 3 0 439 2 0 0.8 0.008 1 0 3 0 440 2 0 0.7 0.058 1 1 2 0 441 2 0 0.0 0.000 0 0 2 1 442 2 0 0.1 0.000 0 0 1 1 443 2 0 0.2 0.048 2 2 2 0 444 2 0 0.1 0.040 1 2 2 0 445 2 0 0.3 0.030 0 2 4 0 446 2 0 0.1 0.030 0 2 7 0 447 2 0 0.0 0.020 0 1 3 0 448 0 0 0.0 0.000 0 0 4 0 449 2 0 0.1 0.008 1 2 2 1 450 2 0 0.1 0.040 0 3 5 0 451 2 0 0.3 0.060 1 2 2 0 452 2 0 0.1 0.028 0 0 1 1 453 2 0 0.0 0.048 1 1 7 0 454 2 0 0.2 0.030 0 0 3 0 455 2 0 0.2 0.028 3 0 2 0 456 0 0 0.0 0.000 0 2 4 0 457 2 0 0.1 0.000 1 0 7 1 458 2 0 0.1 0.005 1 0 6 0 459 2 0 0.2 0.040 1 0 4 2 460 2 0 0.2 0.021 1 2 2 0 461 2 0 0.1 0.040 0 0 10 1 462 2 0 0.7 0.040 1 1 2 0 463 2 0 0.4 0.045 0 2 4 0 464 2 0 0.1 0.048 2 2 5 0 465 2 0 0.2 0.048 2 2 2 0 466 2 0 0.2 0.070 0 3 2 0 467 2 0 0.1 0.042 0 0 2 1 468 2 0 0.2 0.070 0 3 2 0 469 2 0 0.2 0.050 1 2 2 0 470 2 0 0.1 0.000 0 1 1 1 471 2 0 0.1 0.060 0 0 2 2 472 2 0 0.0 0.048 1 0 4 0 473 2 0 0.1 0.048 1 1 3 0 474 2 0 0.4 0.090 0 0 2 0 475 2 0 0.1 0.048 2 2 8 0 476 2 0 0.1 0.048 1 4 6 0 477 2 0 0.3 0.060 1 1 2 0 478 1 2 0.1 0.048 1 0 3 1 479 2 0 0.6 0.056 1 4 2 0 480 2 0 0.0 0.054 1 0 4 0 481 2 0 0.1 0.000 0 0 2 0 482 2 0 0.2 0.070 1 0 2 0 483 2 0 0.1 0.060 0 1 4 0 484 2 0 0.1 0.030 1 2 3 0 485 2 0 0.1 0.048 1 1 4 0 486 2 0 0.1 0.060 3 2 2 1 487 2 0 0.2 0.048 0 3 2 0 488 2 0 0.1 0.020 2 0 2 0 489 2 0 0.1 0.063 0 0 5 1 490 2 0 0.1 0.048 0 1 5 0 491 2 0 0.0 0.015 0 0 0 1 492 2 0 0.0 0.042 0 0 3 2 493 2 0 0.1 0.024 0 0 3 1 494 2 0 0.0 0.030 0 0 7 0 495 2 0 0.4 0.035 0 3 3 0 496 2 0 0.1 0.008 0 1 4 1 497 2 0 0.0 0.000 0 0 1 1 498 2 0 0.1 0.014 2 4 5 0 499 2 0 0.3 0.020 0 1 3 0 500 2 0 0.5 0.048 0 2 9 0 ; s(t,"1") = datafile(t,"1"); s(t,"2") = datafile(t,"2"); s(t,"3") = datafile(t,"3"); s(t,"4") = datafile(t,"4"); s(t,"5") = datafile(t,"5"); x(t,i,"1") = 1; x(t,i,"2") = datafile(t,"6"); x(t,i,"3") = datafile(t,"7"); x(t,i,"4") = datafile(t,"8"); x(t,i,"5") = datafile(t,"9"); x(t,i,"6") = datafile(t,"10"); price1(t) = datafile(t,"6"); price2(t) = datafile(t,"7"); price3(t) = datafile(t,"8"); price4(t) = datafile(t,"9"); price5(t) = datafile(t,"10"); * recover nominal income apple is aggregate price level apple(t) = 0.3827793 * datafile(t,"6") + 0.1184424 * datafile(t,"7") + 0.3129436 * datafile(t, "8") + 0.1462767 * datafile(t, "9") + 0.0395580 * datafile(t, "10"); x(t,i,"7") = datafile(t,"11") + apple(t); x(t,i,"8") = datafile(t,"12"); x(t,i,"9") = datafile(t,"13"); x(t,i,"10") = datafile(t,"14"); x(t,i,"11") = datafile(t,"15"); x(t,i,"12") = datafile(t,"16"); x(t,i,"13") = datafile(t,"17"); x(t,i,"14") = datafile(t,"18"); x(t,i,"15") = datafile(t,"19"); x(t,i,"16") = datafile(t,"20"); x(t,i,"17") = datafile(t,"21"); x(t,i,"18") = datafile(t,"22"); x(t,i,"19") = datafile(t,"23"); x(t,i,"20") = datafile(t,"24"); x(t,i,"21") = datafile(t,"25"); * test if the data input are correct scalars test1 some test test2 some test test3 some test test4 some test; test1 = sum(t, datafile(t,"3")); test2 = sum(t, datafile(t,"6")); test3 = sum((t,i), x(t,i,"7")) / 5; test4 = sum(t, datafile(t,"12")); display test1, test2, test3, test4; * define support points parameter z1(m) support points / 1 -1 2 0 3 1 /; parameter z2(m) support points / 1 -0.2 2 0 3 0.2 /; parameter zz(m) support points / 1 -20 2 0 3 20 /; parameter z(k,m) support space for betas; z(k,m) = z1(m); z("2",m) = z2(m); z("3",m) = z2(m); z("4",m) = z2(m); z("5",m) = z2(m); z("6",m) = z2(m); z("7",m) = z2(m); parameter v(j) points in interval v /1 -1 2 0 3 1/; variables beta(i,k) parameters to be estimated p(i,k,m) probility corresponding beta pp(m) probability corresponding alpha w(t,i,j) probability corresponding error term h gme objective value price(t) predicted aggreagrate price level; positive variable p(i,k,m) w(t,i,j) pp(m) ; equations object primal GME objective function restr1a(t,i) primal restriction the main equation restr1b(t,i) primal restriction the main equation restr1c(t) aggregrate price restriction restr2(i,k) restriction that p*z = beta restr3a(i,k) restriction that sum of probability p equal to 1 restr3b restriction that sum of probability p equal to 1 restr4(t,i) restriction that sum of probability w equal to 1 restr51 restriction of betas based on demand theory restr52(k) restriction of betas based on demand theory restr53(i) restriction of betas based on demand theory restr54a restriction of betas based on demand theory symmetry restr54b restriction of betas based on demand theory symmetry restr54c restriction of betas based on demand theory symmetry restr54d restriction of betas based on demand theory symmetry restr54e restriction of betas based on demand theory symmetry restr54f restriction of betas based on demand theory symmetry restr54g restriction of betas based on demand theory symmetry restr54h restriction of betas based on demand theory symmetry restr54i restriction of betas based on demand theory symmetry restr54j restriction of betas based on demand theory symmetry restr55(k) restriction of betas from demand theory ; object.. h =e= -sum((i, k, m), p(i,k,m)*log(p(i,k,m)+1.e-6) ) -sum((t, i, j), w(t,i,j)*log(w(t,i,j)+1.e-6) ) -sum(m, pp(m) * log(pp(m) + 1.e-6)); * the main restrictions restr1a(t,i)$(s(t,i) gt 0).. s(t,i) =e= sum(k, beta(i,k) * x(t,i,k)) + sum(j, v(j) * w(t, i, j)) - beta(i,"7") * price(t); restr1b(t,i)$(s(t,i) eq 0).. s(t,i) =g= sum(k, beta(i,k) * x(t,i,k)) + sum(j, v(j) * w(t, i, j)) - beta(i,"7") * price(t); * AIDs aggregrate price restriction restr1c(t).. price(t) =e= sum(m, pp(m) * zz(m)) + beta("1","1") * price1(t) + beta("2","1") * price2(t) + beta("3","1") * price3(t) + beta("4","1") * price4(t) + beta("5","1") * price5(t) + 0.5*(beta("1","2") * price1(t) * price1(t) + beta("1","3") * price1(t) * price2(t) + beta("1","4") * price1(t) * price3(t) + beta("1","5") * price1(t) * price4(t) + beta("1","6") * price1(t) * price5(t) + beta("2","2") * price2(t) * price1(t) + beta("2","3") * price2(t) * price2(t) + beta("2","4") * price2(t) * price3(t) + beta("2","5") * price2(t) * price4(t) + beta("2","6") * price2(t) * price5(t) + beta("3","2") * price3(t) * price1(t) + beta("3","3") * price3(t) * price2(t) + beta("3","4") * price3(t) * price3(t) + beta("3","5") * price3(t) * price4(t) + beta("3","6") * price3(t) * price5(t) + beta("4","2") * price4(t) * price1(t) + beta("4","3") * price4(t) * price2(t) + beta("4","4") * price4(t) * price3(t) + beta("4","5") * price4(t) * price4(t) + beta("4","6") * price4(t) * price5(t) + beta("5","2") * price5(t) * price1(t) + beta("5","3") * price5(t) * price2(t) + beta("5","4") * price5(t) * price3(t) + beta("5","5") * price5(t) * price4(t) + beta("5","6") * price5(t) * price5(t) ); * restrictions from GME approach restr2(i,k).. beta(i,k) =e= sum(m, p(i,k,m) * z(k, m)); restr3a(i,k).. 1 =e= sum(m, p(i,k,m)); restr3b.. 1 =e= sum(m, pp(m)); restr4(t,i).. 1 =e= sum(j, w(t,i,j)); * restrictions from demand theory restr51.. 1 =e= sum(i, beta(i,"1")); restr52(k).. 0 =e= sum(i, beta(i,"7")); restr53(i).. 0 =e= beta(i,"2")+beta(i,"3")+beta(i,"4") + beta(i,"5")+beta(i,"6"); * 10 restrictions from symmetry restr54a.. beta("1","3") =e= beta("2","2"); restr54b.. beta("1","4") =e= beta("3","2"); restr54c.. beta("1","5") =e= beta("4","2"); restr54d.. beta("1","6") =e= beta("5","2"); restr54e.. beta("2","4") =e= beta("3","3"); restr54f.. beta("2","5") =e= beta("4","3"); restr54g.. beta("2","6") =e= beta("5","3"); restr54h.. beta("3","5") =e= beta("4","4"); restr54i.. beta("3","6") =e= beta("5","4"); restr54j.. beta("4","6") =e= beta("5","5"); restr55(k)$(indic(k) gt 7).. 0 =e= sum(i, beta(i,k)); *Initial conditions p.l(i,k,m) = 1/MM; pp.l(m) = 1/ MM; w.l(t,i,j) = 1/JJ; * primal approach model gme /all/; options domlim=5000; *options seed=5; *options iterlim=0; *option bratio=1; options iterlim=90000; options reslim=470000; *options work=900000; * conopt optimizer option is below *options solprint=off, nlp=conopt; *options nlp=conopt; options solprint=off; GME.OPTFILE=1; OPTION NLP=MINOS5; solve gme using nlp maximizing h; options decimals = 7; display beta.l; scalar alpha the constant term in aggregrate price equation; alpha = sum(m, pp.l(m)*zz(m)); display alpha;