2 * Copyright (c) 2014, James S. Plank and Kevin Greenan
5 * Jerasure - A C/C++ Library for a Variety of Reed-Solomon and RAID-6 Erasure
8 * Revision 2.0: Galois Field backend now links to GF-Complete
10 * Redistribution and use in source and binary forms, with or without
11 * modification, are permitted provided that the following conditions
14 * - Redistributions of source code must retain the above copyright
15 * notice, this list of conditions and the following disclaimer.
17 * - Redistributions in binary form must reproduce the above copyright
18 * notice, this list of conditions and the following disclaimer in
19 * the documentation and/or other materials provided with the
22 * - Neither the name of the University of Tennessee nor the names of its
23 * contributors may be used to endorse or promote products derived
24 * from this software without specific prior written permission.
26 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
27 * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
28 * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
29 * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
30 * HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
31 * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
32 * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS
33 * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED
34 * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
35 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY
36 * WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
37 * POSSIBILITY OF SUCH DAMAGE.
40 /* Jerasure's authors:
42 Revision 2.x - 2014: James S. Plank and Kevin M. Greenan
43 Revision 1.2 - 2008: James S. Plank, Scott Simmerman and Catherine D. Schuman.
44 Revision 1.0 - 2007: James S. Plank
55 static int PPs[33] = { -1, -1, -1, -1, -1, -1, -1, -1,
56 -1, -1, -1, -1, -1, -1, -1, -1,
57 -1, -1, -1, -1, -1, -1, -1, -1,
58 -1, -1, -1, -1, -1, -1, -1, -1, -1 };
60 static int ONEs[33][33];
64 static int cbest_2[3];
65 static int cbest_3[7];
66 static int cbest_4[15];
67 static int cbest_5[31];
68 static int cbest_6[63];
69 static int cbest_7[127];
70 static int cbest_8[255];
71 static int cbest_9[511];
72 static int cbest_10[1023];
73 static int cbest_11[1023];
74 static int cbest_12[1023], cbest_13[1023], cbest_14[1023], cbest_15[1023], cbest_16[1023], cbest_17[1023], cbest_18[1023],
75 cbest_19[1023], cbest_20[1023], cbest_21[1023], cbest_22[1023], cbest_23[1023], cbest_24[1023], cbest_25[1023],
76 cbest_26[1023], cbest_27[1023], cbest_28[1023], cbest_29[1023], cbest_30[1023], cbest_31[1023];
77 static unsigned int cbest_32[1023];
79 static int cbest_max_k[33] = { -1, -1, 3, 7, 15, 31, 63, 127, 255, 511, 1023, 1023,
80 1023, 1023, 1023, 1023, 1023, 1023, 1023, 1023, 1023, 1023, 1023, 1023, 1023, 1023, 1023, 1023, 1023,
81 1023, 1023, 1023, 1023 };
83 static int cbest_init = 0;
85 static int *cbest_all[33];
88 #define talloc(type, num) (type *) malloc(sizeof(type)*(num))
90 int cauchy_n_ones(int n, int w)
98 highbit = (1 << (w-1));
102 PPs[w] = galois_single_multiply(highbit, 2, w);
103 for (i = 0; i < w; i++) {
104 if (PPs[w] & (1 << i)) {
105 ONEs[w][nones] = (1 << i);
113 for (i = 0; i < w; i++) if (n & (1 << i)) no++;
115 for (i = 1; i < w; i++) {
121 for (j = 0; j < NOs[w]; j++) {
122 cno += (n & ONEs[w][j]) ? 1 : -1;
132 int *cauchy_original_coding_matrix(int k, int m, int w)
137 if (w < 31 && (k+m) > (1 << w)) return NULL;
138 matrix = talloc(int, k*m);
139 if (matrix == NULL) return NULL;
141 for (i = 0; i < m; i++) {
142 for (j = 0; j < k; j++) {
143 matrix[index] = galois_single_divide(1, (i ^ (m+j)), w);
150 int *cauchy_xy_coding_matrix(int k, int m, int w, int *X, int *Y)
155 matrix = talloc(int, k*m);
156 if (matrix == NULL) { return NULL; }
158 for (i = 0; i < m; i++) {
159 for (j = 0; j < k; j++) {
160 matrix[index] = galois_single_divide(1, (X[i] ^ Y[j]), w);
167 void cauchy_improve_coding_matrix(int k, int m, int w, int *matrix)
171 int bno, tno, bno_index;
173 for (j = 0; j < k; j++) {
174 if (matrix[j] != 1) {
175 tmp = galois_single_divide(1, matrix[j], w);
177 for (i = 0; i < m; i++) {
178 matrix[index] = galois_single_multiply(matrix[index], tmp, w);
183 for (i = 1; i < m; i++) {
186 for (j = 0; j < k; j++) bno += cauchy_n_ones(matrix[index+j], w);
188 for (j = 0; j < k; j++) {
189 if (matrix[index+j] != 1) {
190 tmp = galois_single_divide(1, matrix[index+j], w);
192 for (x = 0; x < k; x++) {
193 tno += cauchy_n_ones(galois_single_multiply(matrix[index+x], tmp, w), w);
201 if (bno_index != -1) {
202 tmp = galois_single_divide(1, matrix[index+bno_index], w);
203 for (j = 0; j < k; j++) {
204 matrix[index+j] = galois_single_multiply(matrix[index+j], tmp, w);
210 int *cauchy_good_general_coding_matrix(int k, int m, int w)
214 if (m == 2 && k <= cbest_max_k[w]) {
215 matrix = talloc(int, k*m);
216 if (matrix == NULL) return NULL;
219 cbest_all[0] = cbest_0; cbest_all[1] = cbest_1; cbest_all[2] = cbest_2; cbest_all[3] = cbest_3; cbest_all[4] =
220 cbest_4; cbest_all[5] = cbest_5; cbest_all[6] = cbest_6; cbest_all[7] = cbest_7; cbest_all[8] = cbest_8;
221 cbest_all[9] = cbest_9; cbest_all[10] = cbest_10; cbest_all[11] = cbest_11; cbest_all[12] = cbest_12;
222 cbest_all[13] = cbest_13; cbest_all[14] = cbest_14; cbest_all[15] = cbest_15; cbest_all[16] = cbest_16;
223 cbest_all[17] = cbest_17; cbest_all[18] = cbest_18; cbest_all[19] = cbest_19; cbest_all[20] = cbest_20;
224 cbest_all[21] = cbest_21; cbest_all[22] = cbest_22; cbest_all[23] = cbest_23; cbest_all[24] = cbest_24;
225 cbest_all[25] = cbest_25; cbest_all[26] = cbest_26; cbest_all[27] = cbest_27; cbest_all[28] = cbest_28;
226 cbest_all[29] = cbest_29; cbest_all[30] = cbest_30; cbest_all[31] = cbest_31; cbest_all[32] = (int *) cbest_32;
228 for (i = 0; i < k; i++) {
230 matrix[i+k] = cbest_all[w][i];
234 matrix = cauchy_original_coding_matrix(k, m, w);
235 if (matrix == NULL) return NULL;
236 cauchy_improve_coding_matrix(k, m, w, matrix);
241 static int cbest_2[3] = { 1, 2, 3 };
242 static int cbest_3[7] = { 1, 2, 5, 4, 7, 3, 6 };
244 static int cbest_4[15] = { 1, 2, 9, 4, 8, 13, 3, 6, 12, 5, 11, 15, 10, 14, 7 };
246 static int cbest_5[31] = { 1, 2, 18, 4, 9, 8, 22, 16, 3, 11, 19, 5, 10, 6, 20, 27, 13, 23, 26, 12,
247 17, 25, 24, 31, 30, 7, 15, 21, 29, 14, 28 };
249 static int cbest_6[63] = { 1, 2, 33, 4, 8, 49, 16, 32, 57, 3, 6, 12, 24, 48, 5, 35, 9, 37, 10, 17,
250 41, 51, 56, 61, 18, 28, 53, 14, 20, 34, 7, 13, 25, 36, 59, 26, 39, 40, 45, 50, 60, 52, 63,
251 11, 30, 55, 19, 22, 29, 43, 58, 15, 21, 38, 44, 47, 62, 27, 54, 42, 31, 23, 46 };
253 static int cbest_7[127] = { 1, 2, 68, 4, 34, 8, 17, 16, 76, 32, 38, 3, 64, 69, 5, 19, 35, 70, 6, 9,
254 18, 102, 10, 36, 85, 12, 21, 42, 51, 72, 77, 84, 20, 25, 33, 50, 78, 98, 24, 39, 49, 100, 110
255 , 48, 65, 93, 40, 66, 71, 92, 7, 46, 55, 87, 96, 103, 106, 11, 23, 37, 54, 81, 86, 108, 13,
256 22, 27, 43, 53, 73, 80, 14, 26, 52, 74, 79, 99, 119, 44, 95, 101, 104, 111, 118, 29, 59, 89,
257 94, 117, 28, 41, 58, 67, 88, 115, 116, 47, 57, 83, 97, 107, 114, 127, 56, 82, 109, 113, 126,
258 112, 125, 15, 63, 75, 123, 124, 31, 45, 62, 91, 105, 122, 30, 61, 90, 121, 60, 120 };
260 static int cbest_8[255] = { 1, 2, 142, 4, 71, 8, 70, 173, 3, 35, 143, 16, 17, 67, 134, 140, 172, 6, 34
261 , 69, 201, 216, 5, 33, 86, 12, 65, 138, 158, 159, 175, 10, 32, 43, 66, 108, 130, 193, 234, 9,
262 24, 25, 50, 68, 79, 100, 132, 174, 200, 217, 20, 21, 42, 48, 87, 169, 41, 54, 64, 84, 96, 117
263 , 154, 155, 165, 226, 77, 82, 135, 136, 141, 168, 192, 218, 238, 7, 18, 19, 39, 40, 78, 113,
264 116, 128, 164, 180, 195, 205, 220, 232, 14, 26, 27, 58, 109, 156, 157, 203, 235, 13, 28, 29, 38
265 , 51, 56, 75, 85, 90, 101, 110, 112, 139, 171, 11, 37, 49, 52, 76, 83, 102, 119, 131, 150, 151
266 , 167, 182, 184, 188, 197, 219, 224, 45, 55, 80, 94, 97, 133, 170, 194, 204, 221, 227, 236, 36,
267 47, 73, 92, 98, 104, 118, 152, 153, 166, 202, 207, 239, 251, 22, 23, 44, 74, 91, 148, 149, 161
268 , 181, 190, 233, 46, 59, 88, 137, 146, 147, 163, 196, 208, 212, 222, 250, 57, 81, 95, 106, 111,
269 129, 160, 176, 199, 243, 249, 15, 53, 72, 93, 103, 115, 125, 162, 183, 185, 189, 206, 225, 255,
270 186, 210, 230, 237, 242, 248, 30, 31, 62, 89, 99, 105, 114, 121, 124, 178, 209, 213, 223, 228,
271 241, 254, 60, 191, 198, 247, 120, 240, 107, 127, 144, 145, 177, 211, 214, 246, 245, 123, 126,
272 187, 231, 253, 63, 179, 229, 244, 61, 122, 215, 252 };
274 static int cbest_9[511] = { 1, 2, 264, 4, 132, 8, 66, 16, 33, 32, 280, 64, 140, 128, 3, 70, 265, 5,
275 133, 256, 266, 6, 9, 35, 67, 134, 268, 396, 10, 17, 34, 330, 12, 18, 68, 198, 297, 20, 37, 74
276 , 136, 148, 165, 281, 296, 24, 36, 41, 65, 82, 99, 164, 272, 282, 388, 40, 49, 98, 141, 194,
277 284, 328, 412, 48, 97, 129, 142, 196, 346, 71, 72, 96, 130, 313, 392, 80, 206, 257, 267, 312,
278 334, 7, 135, 156, 173, 192, 258, 269, 397, 404, 11, 78, 144, 161, 172, 260, 270, 299, 331, 344,
279 398, 13, 19, 39, 69, 86, 103, 160, 167, 199, 202, 298, 322, 384, 14, 21, 38, 43, 75, 102, 137,
280 149, 166, 204, 289, 332, 408, 462, 22, 25, 42, 51, 83, 101, 138, 150, 273, 283, 288, 301, 350,
281 389, 429, 26, 50, 76, 100, 195, 274, 285, 300, 329, 363, 390, 413, 428, 28, 45, 84, 143, 197,
282 200, 214, 231, 276, 286, 315, 320, 347, 362, 414, 458, 44, 53, 73, 90, 107, 131, 152, 169, 181,
283 230, 314, 338, 361, 393, 400, 454, 460, 52, 57, 81, 106, 115, 168, 175, 180, 207, 229, 305, 335
284 , 348, 360, 394, 421, 478, 56, 105, 114, 157, 163, 174, 193, 210, 227, 228, 259, 304, 317, 326,
285 405, 420, 445, 79, 104, 113, 145, 158, 162, 212, 226, 261, 271, 316, 345, 379, 399, 406, 444,
286 450, 456, 87, 88, 112, 146, 203, 225, 262, 291, 323, 336, 378, 385, 425, 452, 474, 15, 205, 222
287 , 224, 239, 290, 303, 333, 367, 377, 386, 409, 424, 431, 463, 470, 476, 23, 139, 151, 189, 208,
288 238, 302, 324, 351, 366, 376, 410, 430, 437, 27, 47, 77, 94, 111, 177, 188, 237, 275, 293, 342,
289 365, 391, 436, 448, 29, 46, 55, 85, 110, 119, 171, 176, 183, 201, 215, 218, 235, 236, 277, 287,
290 292, 321, 355, 364, 415, 417, 459, 466, 472, 30, 54, 59, 91, 109, 118, 153, 170, 182, 220, 234,
291 278, 307, 339, 354, 401, 416, 423, 441, 455, 461, 468, 495, 58, 108, 117, 154, 233, 306, 319,
292 349, 353, 383, 395, 402, 422, 440, 447, 479, 494, 92, 116, 211, 232, 318, 327, 340, 352, 382,
293 446, 493, 61, 159, 213, 216, 247, 309, 381, 407, 427, 451, 457, 464, 491, 492, 60, 89, 123, 147
294 , 185, 246, 263, 308, 337, 371, 380, 426, 433, 453, 475, 487, 490, 122, 184, 191, 223, 245, 370,
295 387, 432, 439, 471, 477, 486, 489, 511, 121, 179, 190, 209, 243, 244, 295, 325, 359, 369, 411,
296 438, 485, 488, 510, 95, 120, 178, 242, 294, 343, 358, 368, 419, 449, 483, 484, 509, 219, 241,
297 357, 418, 443, 467, 473, 482, 507, 508, 31, 221, 240, 255, 279, 356, 442, 469, 481, 503, 506,
298 155, 254, 403, 480, 502, 505, 63, 93, 127, 253, 311, 341, 375, 501, 504, 62, 126, 187, 217, 251
299 , 252, 310, 374, 435, 465, 499, 500, 125, 186, 250, 373, 434, 498, 124, 249, 372, 497, 248, 496
302 static int cbest_10[1023] = { 1, 2, 516, 4, 258, 8, 129, 16, 32, 580, 64, 128, 290, 145, 256, 3, 512,
303 517, 5, 259, 518, 588, 6, 9, 18, 36, 72, 144, 774, 10, 17, 131, 262, 288, 524, 645, 12, 33,
304 133, 266, 294, 387, 532, 576, 581, 20, 34, 65, 137, 274, 548, 582, 24, 66, 291, 838, 40, 68,
305 130, 147, 161, 322, 644, 709, 806, 48, 132, 193, 257, 386, 596, 80, 136, 298, 419, 612, 661, 772
306 , 96, 149, 260, 272, 306, 403, 513, 146, 153, 160, 264, 292, 385, 514, 519, 544, 584, 589, 708,
307 870, 7, 19, 37, 73, 192, 354, 590, 770, 775, 11, 38, 74, 177, 263, 289, 418, 520, 525, 534, 641
308 , 660, 725, 802, 836, 846, 13, 22, 76, 148, 209, 267, 295, 320, 330, 402, 526, 528, 533, 577,
309 647, 717, 804, 14, 21, 26, 35, 44, 135, 152, 165, 201, 275, 304, 384, 401, 435, 549, 578, 583,
310 604, 608, 782, 903, 25, 52, 67, 88, 139, 270, 296, 391, 417, 550, 620, 653, 790, 834, 839, 41,
311 50, 69, 104, 141, 176, 278, 302, 323, 395, 423, 540, 598, 640, 705, 724, 807, 866, 28, 42, 49,
312 70, 82, 100, 163, 208, 282, 310, 556, 592, 597, 646, 663, 677, 711, 716, 868, 878, 81, 134, 151
313 , 164, 195, 200, 299, 326, 352, 362, 400, 434, 564, 613, 657, 768, 773, 902, 967, 97, 138, 155,
314 169, 197, 261, 273, 307, 358, 390, 416, 433, 451, 614, 652, 733, 800, 814, 844, 854, 935, 56, 84
315 , 98, 140, 181, 217, 265, 293, 328, 338, 394, 422, 515, 545, 585, 704, 788, 822, 871, 919, 162,
316 179, 276, 355, 407, 427, 546, 586, 591, 616, 662, 669, 676, 710, 727, 741, 771, 780, 901, 39, 75
317 , 150, 157, 194, 211, 225, 268, 280, 308, 314, 389, 411, 439, 521, 530, 535, 628, 656, 721, 803,
318 832, 837, 842, 847, 966, 23, 77, 112, 154, 168, 196, 300, 321, 331, 393, 421, 432, 450, 522, 527
319 , 529, 552, 606, 643, 673, 693, 713, 732, 805, 864, 874, 934, 999, 15, 27, 45, 54, 78, 90, 108,
320 180, 216, 305, 483, 560, 579, 600, 605, 609, 719, 778, 783, 852, 876, 886, 899, 918, 983, 46, 53
321 , 89, 167, 178, 185, 203, 213, 271, 297, 324, 334, 336, 360, 370, 406, 426, 467, 542, 551, 610,
322 621, 649, 668, 726, 740, 786, 791, 810, 820, 835, 900, 917, 931, 951, 965, 975, 30, 51, 105, 156
323 , 205, 210, 224, 279, 303, 356, 366, 388, 405, 410, 438, 449, 459, 536, 541, 594, 599, 622, 655,
324 720, 812, 818, 862, 867, 933, 29, 43, 71, 83, 92, 101, 106, 143, 173, 283, 311, 312, 346, 392,
325 409, 420, 437, 443, 557, 566, 593, 642, 659, 672, 692, 707, 712, 737, 757, 869, 879, 911, 998,
326 60, 102, 241, 327, 353, 363, 399, 425, 482, 558, 565, 624, 679, 718, 735, 749, 769, 798, 898,
327 963, 982, 58, 86, 166, 183, 184, 202, 212, 219, 233, 286, 359, 431, 466, 615, 636, 648, 689, 729
328 , 801, 815, 840, 845, 850, 855, 884, 916, 930, 950, 964, 974, 981, 995, 1015, 57, 85, 99, 120,
329 171, 199, 204, 229, 318, 329, 339, 368, 404, 448, 458, 465, 499, 654, 671, 685, 784, 789, 823,
330 872, 882, 915, 932, 949, 997, 1007, 116, 142, 159, 172, 277, 408, 436, 442, 455, 481, 491, 547,
331 572, 587, 617, 630, 658, 665, 706, 723, 736, 756, 776, 781, 816, 860, 894, 897, 910, 947, 991,
332 114, 221, 240, 269, 281, 309, 315, 332, 342, 344, 378, 398, 424, 441, 475, 487, 531, 618, 629,
333 678, 695, 734, 743, 748, 808, 833, 843, 929, 943, 962, 973, 113, 182, 189, 218, 227, 232, 301,
334 364, 374, 430, 457, 523, 553, 562, 602, 607, 688, 728, 753, 796, 830, 865, 875, 927, 980, 994,
335 1014, 55, 79, 91, 109, 170, 187, 198, 215, 228, 284, 415, 464, 498, 554, 561, 601, 670, 675, 684
336 , 715, 745, 765, 779, 848, 853, 877, 887, 909, 914, 948, 979, 996, 1006, 1013, 47, 110, 158, 249
337 , 316, 325, 335, 337, 361, 371, 397, 447, 454, 480, 490, 497, 538, 543, 611, 632, 664, 722, 787,
338 811, 821, 880, 896, 913, 946, 961, 971, 990, 1011, 31, 94, 220, 245, 357, 367, 429, 440, 474,
339 486, 537, 595, 623, 651, 681, 694, 701, 742, 759, 813, 819, 858, 863, 892, 928, 942, 945, 972,
340 989, 993, 1003, 1023, 62, 93, 107, 188, 207, 226, 237, 243, 313, 340, 347, 376, 456, 471, 473,
341 507, 567, 568, 626, 752, 890, 907, 926, 1005, 61, 103, 124, 175, 186, 214, 372, 414, 453, 463,
342 489, 503, 559, 625, 638, 674, 691, 714, 731, 739, 744, 764, 794, 799, 828, 908, 925, 939, 959,
343 978, 1012, 59, 87, 122, 248, 287, 350, 396, 413, 446, 485, 495, 496, 637, 751, 826, 841, 851,
344 885, 912, 941, 960, 970, 977, 1010, 118, 121, 235, 244, 319, 369, 382, 428, 445, 574, 650, 667,
345 680, 700, 758, 761, 785, 873, 883, 944, 988, 992, 1002, 1009, 1022, 117, 206, 223, 231, 236, 242
346 , 470, 472, 506, 573, 631, 687, 777, 817, 856, 861, 895, 906, 987, 1004, 1021, 115, 174, 191, 333
347 , 343, 345, 379, 452, 462, 469, 488, 502, 505, 619, 690, 697, 730, 738, 755, 809, 888, 924, 938,
348 958, 969, 1019, 253, 365, 375, 412, 484, 494, 501, 563, 603, 750, 767, 792, 797, 831, 923, 940,
349 957, 976, 1001, 234, 251, 285, 348, 444, 479, 555, 634, 666, 760, 824, 849, 905, 955, 1008, 111,
350 222, 230, 247, 317, 380, 461, 511, 539, 633, 686, 703, 747, 881, 937, 986, 1020, 95, 190, 468,
351 493, 504, 570, 696, 754, 859, 893, 968, 985, 1018, 63, 126, 252, 341, 377, 500, 569, 627, 683,
352 766, 891, 922, 956, 1000, 1017, 125, 239, 250, 373, 478, 639, 795, 829, 904, 921, 954, 123, 246,
353 351, 460, 477, 510, 702, 746, 763, 827, 936, 953, 119, 383, 492, 509, 575, 984, 682, 699, 857,
354 1016, 238, 255, 889, 920, 476, 762, 793, 952, 349, 508, 635, 825, 381, 698, 254, 571, 127 };
356 static int cbest_11[1023] = { 1,
357 2, 1026, 4, 513, 8, 16, 1282, 32, 64, 641, 128, 256, 512, 1346, 1024, 3, 673, 1027, 5, 10, 20, 40, 80, 160, 320,
358 640, 6, 9, 515, 1030, 1280, 1539, 17, 517, 1034, 1283, 12, 18, 33, 521, 1042, 1362, 34, 65, 529, 1058, 1286, 1795,
359 24, 36, 66, 129, 545, 643, 1090, 1290, 1667, 68, 130, 257, 577, 645, 672, 1154, 1298, 1344, 48, 72, 132, 258, 336,
360 649, 681, 1314, 1347, 136, 168, 260, 514, 657, 769, 1538, 1923, 84, 96, 144, 264, 516, 1025, 1350, 1410, 1859, 42,
361 272, 520, 705, 1032, 1354, 11, 21, 41, 81, 161, 192, 288, 321, 528, 675, 1028, 1537, 1699, 1794, 7, 22, 82, 162,
362 322, 544, 642, 677, 897, 1031, 1046, 1066, 1106, 1186, 1281, 1366, 1378, 1666, 14, 44, 164, 324, 384, 523, 533,
363 553, 576, 593, 644, 833, 1035, 1040, 1288, 1360, 1987, 13, 19, 28, 88, 328, 519, 648, 680, 689, 1043, 1056, 1284,
364 1363, 1474, 1543, 1793, 1955, 26, 35, 56, 176, 656, 768, 1038, 1059, 1088, 1287, 1302, 1322, 1442, 1547, 1665,
365 1922, 25, 37, 52, 67, 112, 340, 352, 525, 531, 737, 1091, 1152, 1291, 1296, 1555, 1858, 1875, 38, 69, 74, 104, 131,
366 224, 547, 651, 661, 683, 704, 721, 961, 1050, 1062, 1155, 1299, 1312, 1345, 1370, 1571, 1799, 49, 70, 73, 133, 138,
367 148, 170, 208, 259, 337, 448, 537, 549, 579, 647, 674, 929, 1094, 1294, 1315, 1352, 1536, 1603, 1671, 1698, 1803,
368 1921, 50, 134, 137, 169, 261, 266, 276, 296, 338, 416, 581, 676, 896, 1074, 1098, 1158, 1348, 1394, 1408, 1675,
369 1707, 1811, 1857, 2019, 76, 85, 97, 145, 262, 265, 522, 532, 552, 561, 585, 592, 653, 659, 685, 771, 832, 849,
370 1064, 1162, 1194, 1306, 1318, 1351, 1386, 1411, 1506, 1683, 1827, 1986, 2003, 43, 86, 98, 140, 146, 172, 273, 344,
371 518, 688, 773, 1033, 1110, 1122, 1170, 1355, 1490, 1542, 1697, 1792, 1927, 1954, 100, 193, 268, 274, 289, 597, 609,
372 665, 697, 707, 777, 1029, 1044, 1104, 1184, 1330, 1364, 1376, 1414, 1546, 1664, 1731, 1863, 1931, 1963, 23, 46, 83,
373 92, 152, 163, 184, 194, 290, 323, 368, 524, 530, 555, 693, 709, 736, 753, 785, 993, 1036, 1047, 1067, 1107, 1187,
374 1218, 1320, 1358, 1367, 1379, 1418, 1450, 1545, 1554, 1867, 1874, 1939, 1985, 15, 30, 45, 60, 90, 120, 165, 180,
375 196, 240, 280, 292, 325, 330, 360, 385, 480, 546, 650, 660, 679, 682, 713, 720, 745, 801, 899, 960, 977, 1041,
376 1289, 1361, 1426, 1472, 1541, 1570, 1703, 1798, 1953, 29, 58, 89, 116, 166, 200, 232, 326, 329, 386, 464, 535, 536,
377 548, 578, 595, 646, 835, 901, 928, 1048, 1057, 1070, 1190, 1285, 1300, 1368, 1382, 1440, 1475, 1559, 1579, 1602,
378 1619, 1670, 1802, 1879, 1891, 1920, 27, 57, 177, 304, 388, 527, 557, 580, 691, 725, 837, 905, 937, 1039, 1054,
379 1089, 1114, 1292, 1303, 1323, 1374, 1443, 1553, 1674, 1706, 1715, 1801, 1810, 1856, 1873, 1991, 2018, 2035, 53,
380 106, 113, 178, 212, 332, 341, 353, 392, 424, 541, 560, 584, 601, 652, 658, 684, 770, 841, 848, 913, 1060, 1082,
381 1096, 1153, 1202, 1297, 1402, 1478, 1522, 1569, 1673, 1682, 1705, 1797, 1826, 1959, 1995, 2002, 2027, 39, 54, 75,
382 105, 114, 225, 342, 354, 400, 539, 569, 739, 772, 1051, 1063, 1078, 1092, 1138, 1160, 1192, 1304, 1313, 1326, 1371,
383 1384, 1398, 1446, 1482, 1514, 1551, 1601, 1669, 1696, 1763, 1815, 1835, 1926, 71, 139, 149, 171, 209, 226, 298,
384 356, 449, 565, 596, 608, 625, 663, 664, 696, 706, 723, 741, 776, 853, 865, 963, 1072, 1095, 1130, 1156, 1250, 1295,
385 1310, 1353, 1392, 1687, 1730, 1747, 1809, 1862, 1930, 1962, 1971, 2007, 2017, 51, 78, 108, 135, 150, 210, 228, 267,
386 277, 297, 339, 348, 417, 450, 551, 554, 587, 617, 655, 687, 692, 708, 752, 784, 931, 965, 992, 1009, 1075, 1099,
387 1159, 1174, 1234, 1316, 1338, 1349, 1395, 1409, 1458, 1494, 1504, 1544, 1563, 1575, 1681, 1825, 1866, 1883, 1929,
388 1938, 1961, 1984, 2001, 77, 142, 174, 263, 278, 346, 376, 418, 452, 496, 583, 669, 678, 701, 712, 729, 744, 761,
389 800, 898, 933, 969, 976, 1001, 1065, 1108, 1120, 1163, 1168, 1195, 1307, 1319, 1334, 1356, 1387, 1416, 1448, 1488,
390 1507, 1540, 1607, 1702, 1807, 1865, 1925, 1952, 87, 99, 141, 147, 156, 173, 188, 216, 248, 270, 300, 345, 372, 420,
391 456, 488, 534, 563, 594, 667, 699, 757, 779, 789, 809, 834, 851, 900, 1102, 1111, 1123, 1171, 1328, 1412, 1491,
392 1558, 1578, 1587, 1611, 1618, 1679, 1711, 1729, 1861, 1878, 1890, 1907, 1943, 2023, 94, 101, 124, 154, 186, 244,
393 269, 275, 284, 526, 556, 589, 690, 724, 775, 836, 904, 936, 945, 981, 1045, 1068, 1105, 1166, 1185, 1198, 1216,
394 1331, 1365, 1377, 1390, 1415, 1430, 1510, 1552, 1577, 1714, 1800, 1819, 1831, 1872, 1899, 1937, 1990, 2034, 47, 62,
395 93, 102, 122, 153, 185, 195, 282, 291, 312, 362, 369, 432, 468, 540, 599, 600, 611, 715, 747, 840, 857, 912, 1037,
396 1052, 1112, 1126, 1219, 1321, 1359, 1372, 1419, 1424, 1451, 1568, 1623, 1635, 1672, 1691, 1701, 1704, 1723, 1796,
397 1958, 1994, 2011, 2026, 2043, 31, 61, 91, 121, 181, 197, 202, 234, 241, 281, 293, 308, 331, 361, 370, 481, 538,
398 568, 613, 695, 711, 738, 755, 781, 787, 995, 1080, 1118, 1178, 1188, 1210, 1380, 1400, 1427, 1473, 1498, 1530,
399 1550, 1557, 1600, 1617, 1668, 1719, 1735, 1762, 1779, 1814, 1834, 1843, 1877, 1889, 1935, 1967, 1993, 2025, 2039,
400 59, 117, 167, 182, 198, 201, 233, 242, 294, 327, 387, 465, 482, 559, 564, 605, 624, 662, 722, 740, 803, 852, 864,
401 881, 907, 917, 939, 962, 979, 997, 1049, 1071, 1086, 1146, 1191, 1206, 1222, 1266, 1301, 1324, 1369, 1383, 1406,
402 1422, 1441, 1454, 1480, 1512, 1526, 1549, 1686, 1713, 1739, 1746, 1771, 1808, 1833, 1871, 1970, 1989, 2006, 2016,
403 2033, 118, 305, 334, 364, 389, 394, 404, 426, 466, 484, 543, 550, 573, 586, 603, 616, 633, 654, 686, 717, 749, 793,
404 805, 843, 873, 903, 930, 964, 1008, 1055, 1115, 1128, 1142, 1200, 1226, 1258, 1293, 1308, 1375, 1476, 1520, 1562,
407 static int cbest_12[1023] = {
408 1, 2, 2089, 4, 8, 3133, 16, 2088, 1044, 3, 32, 522, 261, 3639, 5, 64, 65, 2057, 2091, 6, 130, 3132, 260,
409 2219, 9, 2093, 3117, 10, 128, 257, 2081, 3890, 12, 1566, 2217, 3129, 17, 514, 520, 3135, 18, 3196, 3637, 20,
410 256, 1028, 1045, 3638, 24, 33, 523, 783, 2105, 3197, 3647, 34, 1040, 1945, 2056, 2090, 2595, 3125, 3891, 36,
411 1046, 2348, 40, 1598, 2218, 3635, 7, 48, 66, 67, 131, 263, 269, 512, 538, 782, 1076, 1174, 1819, 2049, 2059,
412 2092, 2152, 3113, 3116, 3384, 3607, 3888, 68, 69, 277, 554, 1108, 1109, 1558, 1564, 1944, 2061, 2080, 2478,
413 3894, 72, 73, 134, 265, 293, 391, 526, 586, 587, 779, 2153, 2211, 2216, 2563, 3128, 4016, 11, 14, 80, 81,
414 129, 132, 138, 530, 1172, 1692, 2073, 2095, 2223, 2316, 3101, 3109, 3119, 3134, 3645, 3874, 13, 96, 97, 146,
415 259, 262, 268, 289, 799, 1052, 1060, 1158, 1567, 1818, 2083, 2221, 2344, 2349, 2476, 2980, 3045, 3192, 3368,
416 3636, 144, 162, 276, 389, 515, 521, 578, 579, 781, 972, 1024, 1156, 2085, 2120, 2235, 2282, 2312, 3131, 3623,
417 19, 22, 28, 160, 194, 195, 264, 292, 390, 778, 846, 1238, 1239, 1562, 1596, 1684, 1937, 1947, 2104, 2233,
418 2593, 3193, 3385, 3633, 3643, 3646, 3889, 21, 26, 324, 518, 536, 909, 1029, 1297, 2008, 2121, 2209, 2283,
419 2479, 2594, 2854, 3085, 3121, 3124, 3188, 3198, 3605, 3895, 25, 136, 258, 288, 528, 552, 798, 842, 1030,
420 1140, 1141, 1490, 1556, 2470, 2603, 2626, 2721, 3892, 3898, 4017, 35, 38, 44, 56, 320, 388, 423, 486, 524,
421 570, 584, 585, 618, 619, 648, 777, 780, 1041, 1594, 1817, 2097, 2107, 2317, 2561, 3105, 3164, 3189, 3199,
422 3263, 3634, 3875, 37, 42, 52, 285, 309, 421, 1036, 1042, 1047, 1056, 1072, 1170, 1313, 1427, 1823, 1936,
423 1946, 2048, 2053, 2058, 2065, 2109, 2280, 2345, 2477, 2579, 2627, 2981, 3041, 3044, 3112, 3127, 3369, 3388,
424 3603, 3606, 3631, 3765, 3872, 41, 192, 193, 273, 399, 775, 797, 908, 968, 1104, 1105, 1168, 1236, 1237, 1281,
425 1296, 1554, 1582, 1599, 1949, 2051, 2060, 2313, 2332, 2340, 2474, 3115, 3165, 3336, 3360, 3641, 4018, 49, 70,
426 71, 76, 77, 88, 89, 112, 113, 387, 454, 484, 513, 516, 539, 640, 744, 745, 1004, 1077, 1175, 1234, 1235,
427 1550, 1668, 1680, 1694, 1803, 2063, 2112, 2210, 2215, 2227, 2281, 2472, 2562, 2784, 3261, 3449, 3547, 3591,
428 3621, 84, 85, 104, 105, 142, 154, 178, 226, 227, 242, 243, 267, 271, 385, 422, 534, 555, 771, 776, 791, 834,
429 840, 844, 973, 1068, 1078, 1166, 1425, 1488, 1559, 1560, 1565, 1688, 1816, 2072, 2077, 2094, 2136, 2144,
430 2154, 2222, 2298, 2336, 2350, 2468, 2543, 2611, 2624, 2658, 2729, 2850, 2855, 2982, 3081, 3097, 3100, 3108,
431 3118, 3184, 3247, 3326, 3376, 3644, 3702, 4024, 82, 83, 135, 164, 170, 210, 211, 279, 284, 308, 328, 356,
432 372, 417, 420, 527, 542, 576, 577, 616, 617, 656, 795, 847, 1048, 1110, 1111, 1312, 1329, 1392, 1426, 1590,
433 1592, 1822, 2082, 2113, 2128, 2156, 2187, 2220, 2364, 2466, 2471, 2785, 2976, 3077, 3111, 3180, 3245, 3882,
434 3893, 3899, 3902, 4081, 15, 30, 50, 60, 98, 99, 120, 121, 133, 139, 166, 272, 291, 295, 325, 340, 398, 419,
435 531, 558, 582, 583, 712, 713, 774, 796, 838, 1064, 1084, 1173, 1182, 1232, 1233, 1280, 1522, 1542, 1676,
436 1693, 1811, 1948, 2009, 2084, 2137, 2145, 2155, 2185, 2213, 2225, 2234, 2286, 2299, 2599, 2601, 2625, 2659,
437 2745, 2870, 2988, 3047, 3130, 3185, 3194, 3327, 3352, 3386, 3545, 3601, 3619, 3622, 3629, 3703, 3733, 3773,
438 3896, 3955, 140, 147, 152, 176, 186, 198, 199, 224, 225, 281, 305, 332, 386, 397, 532, 546, 590, 591, 680,
439 696, 843, 901, 911, 974, 1026, 1032, 1053, 1061, 1116, 1117, 1159, 1164, 1491, 1552, 1802, 1941, 2069, 2087,
440 2122, 2129, 2157, 2168, 2232, 2296, 2314, 2318, 2446, 2567, 2592, 2737, 2852, 3040, 3073, 3093, 3103, 3156,
441 3181, 3389, 3627, 3632, 3642, 3858, 3873, 4020, 74, 75, 145, 163, 168, 208, 209, 266, 270, 321, 384, 395,
442 452, 487, 502, 664, 770, 790, 905, 1025, 1054, 1148, 1149, 1152, 1157, 1301, 1360, 1424, 1578, 1686, 1821,
443 1851, 1929, 1939, 2012, 2208, 2287, 2328, 2333, 2341, 2346, 2381, 2397, 2444, 2464, 2475, 2723, 2752, 3084,
444 3120, 3195, 3337, 3361, 3370, 3417, 3514, 3579, 3604, 3615, 3780, 3878, 3984, 4019, 23, 29, 46, 92, 93, 161,
445 240, 241, 278, 348, 416, 450, 562, 568, 610, 611, 650, 769, 773, 789, 794, 1154, 1222, 1223, 1328, 1376,
446 1494, 1520, 1563, 1597, 1685, 1951, 2010, 2075, 2123, 2169, 2284, 2297, 2473, 2511, 2541, 2602, 2619, 2666,
447 2720, 3107, 3123, 3157, 3294, 3324, 3372, 3448, 3453, 3546, 3587, 3670, 3710, 27, 196, 197, 290, 294, 418,
448 482, 519, 537, 540, 574, 688, 787, 793, 969, 1062, 1142, 1143, 1435, 1548, 1588, 1662, 1663, 1801, 1810,
449 1992, 2055, 2096, 2101, 2106, 2337, 2351, 2469, 2539, 2542, 2560, 2571, 2577, 2634, 2753, 2851, 2919, 2983,
450 3013, 3043, 3104, 3259, 3262, 3322, 3377, 3380, 3441, 3625, 3717, 3767, 3781, 3880, 3900, 3939, 4025, 4049,
451 137, 174, 280, 304, 322, 326, 344, 352, 393, 396, 455, 480, 485, 529, 553, 556, 760, 761, 832, 900, 910, 964,
452 970, 1005, 1031, 1124, 1125, 1180, 1289, 1317, 1333, 1540, 1557, 1574, 1580, 1586, 1690, 1724, 1921, 1940,
453 2052, 2064, 2099, 2108, 2250, 2266, 2285, 2304, 2365, 2467, 2578, 2583, 2609, 2656, 2667, 2848, 2977, 2996,
454 3126, 3166, 3176, 3215, 3239, 3257, 3295, 3325, 3512, 3602, 3617, 3630, 3671, 3700, 3711, 3761, 3764, 3842,
455 3883, 3903, 4080, 39, 45, 57, 148, 172, 184, 287, 297, 336, 394, 448, 525, 544, 571, 588, 589, 649, 746, 747,
456 835, 841, 845, 904, 996, 1006, 1038, 1074, 1080, 1092, 1093, 1178, 1220, 1221, 1300, 1489, 1492, 1538, 1595,
457 1670, 1682, 1756, 1757, 1795, 1815, 1820, 1835, 1850, 1928, 1938, 2050, 2111, 2179, 2356, 2440, 2509, 2565,
458 2587, 2635, 2871, 2915, 2978, 2984, 2989, 3046, 3053, 3114, 3148, 3172, 3207, 3292, 3323, 3340, 3353, 3356,
459 3364, 3387, 3401, 3445, 3544, 3589, 3640, 3729, 3757, 3769, 3796, 3897, 3954, 3959, 251, 373, 581, 1057,
460 1107, 1137, 1299, 1630, 1882, 2214, 2308, 2315, 2319, 2597, 2853, 3167, 3260, 3482, 3590, 3862 };
462 static int cbest_13[1023] = {
463 1, 2, 4109, 4, 6155, 8, 7176, 16, 3588, 4108, 32, 2054, 3, 1027, 1794, 6, 64, 4620, 6154, 5, 897, 4111, 6153,
464 7177, 12, 2310, 3077, 4105, 128, 9, 24, 513, 1155, 10, 1026, 4101, 7689, 18, 48, 256, 896, 3589, 4365, 6159,
465 7178, 17, 448, 4557, 4621, 4684, 5647, 36, 96, 224, 1025, 1792, 20, 112, 512, 769, 1538, 1795, 2052, 3076,
466 3590, 6147, 6283, 7180, 33, 56, 72, 192, 2055, 2342, 3584, 4125, 6411, 7945, 28, 34, 577, 1154, 6922, 7240,
467 14, 144, 384, 2050, 4110, 4493, 5134, 5903, 6152, 7168, 7304, 7, 40, 65, 1171, 3620, 4104, 4141, 5004, 288,
468 768, 1153, 2308, 2567, 3652, 4097, 4107, 4397, 4685, 6157, 6171, 6379, 7688, 13, 68, 1024, 1810, 2311, 3461,
469 4676, 7179, 66, 129, 576, 1826, 3079, 3844, 4100, 4173, 4622, 5646, 6347, 8073, 25, 80, 899, 905, 1031, 1091,
470 1798, 2182, 2306, 2338, 2502, 3073, 3596, 4364, 4616, 5390, 5645, 6158, 6187, 7050, 7192, 11, 26, 913, 1922,
471 4117, 4556, 4652, 5262, 6151, 6299, 6443, 6923, 7181, 19, 49, 130, 136, 257, 1169, 1283, 1536, 1793, 2062,
472 2326, 2566, 2823, 4103, 4237, 6145, 7182, 7232, 7272, 7691, 7944, 50, 449, 515, 901, 961, 1035, 1163, 1170,
473 1539, 1802, 2048, 2340, 2695, 3586, 3591, 3604, 3616, 4553, 4612, 4680, 4748, 5005, 6146, 6219, 6282, 7208,
474 7241, 7288, 22, 37, 52, 97, 160, 225, 585, 1152, 1251, 1808, 2374, 2631, 3141, 3585, 4124, 4549, 4876, 5135,
475 5902, 6281, 6410, 7169, 7172, 7305, 7320, 7560, 21, 38, 98, 113, 132, 226, 258, 452, 545, 898, 904, 1187,
476 2053, 2070, 2278, 2438, 3205, 3460, 3525, 3636, 3972, 4127, 4137, 4157, 4367, 4677, 5132, 5839, 5901, 6163,
477 6169, 6409, 6666, 7693, 57, 73, 100, 114, 193, 228, 272, 450, 456, 517, 912, 1029, 1043, 1159, 1219, 1796,
478 2343, 3078, 3333, 4113, 4121, 4361, 4381, 4393, 4492, 4559, 4623, 4686, 5518, 6275, 6920, 7721, 8137, 29, 35,
479 44, 74, 104, 146, 641, 1030, 1090, 1730, 1824, 2246, 2318, 2822, 3072, 3085, 3592, 3621, 3660, 3780, 4099,
480 4140, 4149, 4165, 4205, 4333, 4617, 4700, 5454, 5643, 6149, 6377, 7051, 7170, 7244, 7753, 7947, 15, 30, 42,
481 60, 76, 120, 145, 196, 240, 260, 292, 320, 385, 480, 514, 771, 900, 960, 1123, 1411, 1818, 1986, 2051, 2086,
482 2304, 2694, 2951, 3622, 3648, 3653, 4096, 4106, 4221, 4396, 4429, 4589, 4636, 4653, 4716, 5422, 5679, 6156,
483 6170, 6378, 6603, 7184, 7242, 7681, 8072, 41, 58, 194, 200, 521, 581, 584, 785, 865, 1059, 1139, 1168, 1282,
484 1347, 1811, 2058, 2198, 2350, 2565, 2630, 3644, 4301, 4357, 4485, 4732, 5391, 5644, 5711, 6191, 6203, 6287,
485 6297, 7193, 7296, 7306, 70, 88, 148, 208, 289, 544, 579, 801, 1034, 1089, 1099, 1162, 1315, 1570, 1827, 1830,
486 1890, 2309, 2324, 2336, 2358, 2759, 3075, 3093, 3845, 4133, 4143, 4172, 4613, 4648, 4668, 4681, 4749, 4812,
487 4996, 5263, 5278, 5388, 5639, 5775, 6167, 6175, 6185, 6315, 6346, 6383, 6415, 6427, 6447, 7194, 7949, 7961,
488 69, 84, 116, 152, 264, 290, 386, 392, 516, 593, 773, 833, 909, 993, 1033, 1161, 1175, 1250, 1542, 1602, 1799,
489 1800, 1920, 2118, 2498, 2727, 3140, 3597, 3654, 4253, 4389, 4399, 4495, 4672, 4780, 4877, 5260, 6186, 6195,
490 6211, 6251, 6345, 6441, 6794, 6926, 6938, 7018, 7183, 7233, 7256, 7273, 7624, 7690, 7977, 67, 82, 400, 529,
491 609, 640, 929, 1041, 1157, 1179, 1186, 1249, 1281, 1666, 1858, 1923, 2060, 2180, 2334, 2406, 2500, 2563,
492 2711, 3173, 3204, 3463, 3524, 3598, 3628, 3716, 4036, 4116, 4169, 4489, 4509, 4608, 4618, 4660, 4678, 4764,
493 5006, 5130, 5899, 5919, 6150, 6267, 6298, 6351, 6442, 6475, 6667, 6730, 6954, 7048, 7174, 7209, 7212, 7224,
494 7289, 7308, 7400, 7432, 81, 140, 176, 232, 296, 416, 625, 770, 915, 945, 1028, 1042, 1158, 1185, 1218, 1537,
495 1814, 2068, 2183, 2307, 2322, 2339, 2390, 2503, 2950, 3109, 3189, 3332, 3397, 3457, 3606, 3612, 3846, 4102,
496 4236, 4525, 4687, 5000, 5020, 5582, 5641, 5871, 5935, 6144, 6339, 6403, 6539, 6921, 6986, 7173, 7188, 7196,
497 7321, 7336, 7561, 7705, 7937, 8065, 8075, 27, 54, 108, 168, 216, 304, 388, 432, 520, 561, 580, 705, 777, 784,
498 864, 907, 1039, 1167, 1203, 1546, 1803, 1806, 2314, 2366, 2382, 2564, 2639, 2821, 3081, 3084, 3149, 3221,
499 3365, 3469, 3587, 3600, 3605, 3617, 3668, 3840, 4373, 4413, 4541, 4552, 4701, 5133, 5198, 5838, 5900, 6179,
500 6218, 6303, 6395, 6914, 7042, 7216, 7234, 7274, 7322, 7368, 7692, 8169, 131, 137, 164, 464, 578, 673, 800,
501 903, 1095, 1122, 1195, 1410, 1475, 1762, 1809, 1822, 1834, 2056, 2063, 2078, 2082, 2178, 2276, 2327, 2330,
502 2370, 2599, 2627, 2693, 2758, 3137, 3477, 3594, 3618, 3684, 3812, 4119, 4175, 4548, 4555, 4573, 4637, 4644,
503 4654, 4682, 4692, 4717, 5068, 5126, 5254, 5446, 5486, 5519, 5663, 5837, 5895, 6031, 6161, 6217, 6279, 6280,
504 6291, 6435, 7210, 7236, 7276, 7290, 7695, 7720, 7725, 7737, 7745, 8136, 51, 138, 280, 352, 549, 592, 657,
505 772, 832, 908, 917, 992, 1051, 1058, 1121, 1138, 1191, 1217, 1346, 1816, 1842, 2018, 2049, 2066, 2190, 2274,
506 2341, 2346, 2372, 2510, 2629, 2726, 3493, 3521, 3608, 3632, 3637, 3700, 3860, 3973, 4126, 4136, 4156, 4189,
507 4229, 4366, 4405, 4421, 4461, 4628, 4696, 4733, 5276, 5420, 5455, 5470, 5516, 5642, 5677, 6162, 6168, 6223,
508 6273, 6363, 6408, 7171, 7245, 7264, 7752, 7946, 8077, 8089, 23, 53, 134, 161, 336, 454, 496, 528, 608, 921,
509 928, 1057, 1088, 1098, 1107, 1137, 1173, 1314, 1379, 1540, 1554, 1728, 1797, 1930, 2102, 2196, 2316, 2348,
510 2375, 2436, 2562, 2710, 2819, 3074, 3092, 3509, 3638, 3876, 4112, 4120, 4360, 4380, 4392, 4445, 4545, 4558,
511 4565, 4605, 4614, 4649, 4669, 4740, 4813, 4997, 5386, 5406, 5418, 5423, 5452, 5675, 5678, 5695, 5703, 6274,
512 6285, 6371, 6664, 7054, 7066, 7185, 7200, 7243, 7246, 7280, 7324, 7680, 7685, 7729, 7881, 39, 78, 133, 156,
513 162, 227, 274, 312, 328, 453, 519, 569, 624, 914, 965, 1032, 1037, 1075, 1097, 1165, 1313, 1363, 1409, 1825,
514 1828, 1938, 2074, 2084, 2214, 2242, 2279, 2439, 2534, 2691, 3143, 3593, 3650, 3656, 3661, 3781, 4123, 4148,
515 4153, 4239, 4353, 4363, 4481, 4551, 4673, 4781, 5128, 5258, 5358, 5637, 5710, 5807, 5835, 5897, 5917, 6173,
516 6355, 6413, 6419, 6425, 6459, 6795, 6858, 6927, 7019, 7297, 7300, 7307, 7312, 7562, 7723, 7953 };
518 static int cbest_14[1023] = {
519 1, 2, 8737, 4, 8, 13105, 16, 8736, 32, 4368, 3, 2184, 17, 1092, 15289, 34, 546, 5, 64, 68, 273, 8739, 8745,
520 6, 136, 13104, 272, 9, 8741, 128, 8873, 12, 6552, 13109, 10, 544, 13107, 256, 18, 24, 3276, 8753, 33, 1088,
521 4369, 15288, 16381, 2185, 8705, 13089, 13173, 20, 512, 1093, 2186, 4372, 8195, 8738, 8744, 13113, 35, 66,
522 547, 1094, 1638, 2188, 4370, 4376, 8752, 8865, 12832, 15291, 36, 48, 65, 69, 257, 2176, 6416, 8707, 10921, 7,
523 19, 25, 70, 137, 3208, 8740, 9008, 9829, 13088, 13169, 15281, 96, 132, 138, 277, 554, 1024, 1108, 1604, 6544,
524 8749, 8872, 50, 140, 275, 281, 562, 802, 819, 3272, 4504, 7644, 8747, 8801, 8805, 12833, 13073, 13108, 21,
525 100, 129, 192, 276, 401, 1636, 4352, 4436, 8743, 12563, 13106, 15257, 15293, 13, 38, 40, 72, 130, 200, 264,
526 274, 280, 514, 550, 818, 2216, 2252, 6553, 8193, 8875, 9009, 15259, 11, 14, 49, 384, 400, 545, 1124, 2048,
527 2218, 6554, 8761, 8877, 13075, 13111, 15273, 409, 1100, 1126, 14197, 15153, 15839, 42, 528, 768, 1109, 4097,
528 4432, 8937, 9144, 15016, 16377, 16380, 51, 76, 98, 102, 204, 408, 552, 563, 803, 1090, 2200, 2248, 3277,
529 8203, 8704, 10785, 13172, 144, 260, 548, 560, 800, 817, 1028, 1089, 1536, 3822, 4096, 4353, 8194, 8760,
530 13112, 13117, 13241, 15272, 16365, 28, 258, 265, 1606, 1634, 4380, 6556, 8864, 8869, 8993, 9136, 10913,
531 12561, 12836, 15290, 26, 80, 84, 196, 385, 513, 816, 1056, 2180, 2187, 2190, 3072, 3268, 3278, 4373, 4400,
532 4496, 6145, 7508, 8706, 8755, 8941, 9016, 9145, 9287, 10920, 12013, 12290, 13175, 15017, 22, 67, 152, 1095,
533 1639, 2189, 3212, 3292, 4371, 4374, 4377, 4568, 4572, 6418, 6536, 6584, 8225, 8929, 9825, 9828, 12849, 13093,
534 13141, 13168, 13233, 14129, 14747, 15280, 16373, 16383, 37, 529, 570, 769, 1104, 1600, 1632, 2177, 5460,
535 6144, 6417, 6586, 7636, 8466, 8713, 8748, 8867, 13091, 13097, 13171, 15837, 16313, 16364, 71, 134, 168, 285,
536 392, 520, 530, 770, 1026, 1058, 1096, 2056, 2178, 2201, 2284, 3209, 4233, 4360, 4402, 4508, 4914, 6424, 7640,
537 8709, 8721, 8746, 8757, 8800, 8804, 8992, 9121, 9137, 10923, 11809, 12837, 13072, 13115, 13137, 14193, 15566,
538 97, 133, 139, 142, 145, 261, 288, 305, 337, 555, 561, 785, 801, 1025, 1120, 1140, 1605, 1646, 2112, 2116,
539 2730, 3210, 3264, 3754, 4378, 6420, 6545, 8201, 8211, 8451, 8742, 8754, 8803, 8809, 8841, 8889, 9001, 9017,
540 9831, 10925, 12291, 12562, 12834, 12840, 15161, 15256, 15283, 15292, 29, 56, 141, 259, 268, 279, 284, 674,
541 1110, 1142, 1538, 1570, 1911, 2280, 2457, 3273, 3820, 4232, 4505, 6281, 6546, 7628, 7645, 8192, 8715, 8751,
542 8769, 8874, 9012, 9285, 9317, 12848, 12960, 13057, 13077, 13092, 14880, 15258, 15265, 15285, 15295, 27, 52,
543 74, 81, 85, 101, 160, 193, 304, 336, 516, 558, 784, 1060, 1348, 1365, 1540, 1637, 2052, 2254, 2286, 3140,
544 3200, 3274, 3818, 4225, 4437, 4506, 4560, 6480, 6528, 6548, 7440, 8190, 8199, 8467, 8723, 8807, 8876, 9010,
545 9129, 9837, 11945, 12307, 12547, 13074, 13090, 13096, 13110, 13143, 13655, 14745, 14777, 15241, 15353, 15357,
546 15831, 23, 39, 41, 44, 73, 131, 153, 194, 201, 278, 290, 307, 403, 515, 536, 551, 610, 614, 806, 823, 1116,
547 1122, 1228, 1612, 1910, 2050, 2217, 2220, 2253, 2456, 2696, 3224, 3240, 3293, 3720, 4105, 4438, 6280, 6537,
548 8331, 8720, 8756, 8773, 8879, 8881, 9120, 9761, 9845, 10849, 10853, 12288, 12593, 13157, 13297, 13617, 14196,
549 15008, 15152, 15243, 15567, 15835, 15838, 16245, 15, 58, 112, 170, 202, 283, 341, 405, 571, 682, 810, 1040,
550 1105, 1125, 1364, 1568, 1620, 1860, 1877, 2049, 2192, 2219, 2250, 3076, 4101, 4112, 4224, 4356, 4500, 5392,
551 6448, 6555, 7504, 7646, 8210, 8227, 8450, 8711, 8813, 8888, 8936, 9000, 10889, 12009, 12567, 12835, 12841,
552 12968, 13059, 13177, 13181, 13305, 13309, 14888, 15155, 16108, 16376, 104, 306, 386, 393, 402, 531, 568, 771,
553 822, 930, 1030, 1101, 1127, 1602, 1644, 2120, 2728, 3080, 3288, 3752, 3814, 4104, 4354, 4361, 4434, 4440,
554 4444, 6153, 7576, 8202, 8219, 8464, 8602, 8843, 8933, 9013, 9797, 10784, 10789, 10891, 11877, 12571, 12896,
555 12900, 12961, 13056, 13237, 14097, 14181, 14474, 14881, 15249, 15264, 15275, 16357, 16369, 43, 116, 148, 224,
556 266, 282, 289, 340, 388, 404, 411, 465, 522, 576, 580, 608, 672, 1072, 1102, 1141, 1220, 1876, 1909, 2208,
557 2222, 2240, 2244, 2282, 3136, 4100, 4433, 4468, 4564, 4912, 5456, 6273, 6400, 6484, 7444, 7620, 7632, 8323,
558 8722, 8765, 9011, 9128, 9799, 9965, 10787, 10989, 12306, 12546, 13079, 13116, 13139, 13240, 13245, 14199,
559 15033, 15240, 15251, 15261, 15564, 15869, 16317, 16361, 54, 57, 77, 99, 103, 162, 205, 232, 269, 518, 553,
560 556, 566, 787, 1062, 1091, 1111, 1143, 1542, 2060, 2210, 2232, 2249, 3788, 3816, 6152, 6450, 7629, 7783,
561 8182, 8197, 8209, 8241, 8449, 8481, 8587, 8763, 8868, 8880, 8939, 9146, 9295, 9844, 10912, 10917, 11471,
562 11813, 12005, 12289, 12560, 13153, 13156, 13301, 13653, 13685, 15009, 15018, 15157, 15242, 15562, 16379, 46,
563 53, 78, 208, 320, 410, 448, 464, 549, 612, 772, 804, 821, 938, 955, 1029, 1349, 1537, 1642, 1908, 2202, 2234,
564 3242, 3284, 3722, 3823, 4240, 4464, 6160, 6272, 6529, 6558, 6576, 7098, 7237, 8233, 8329, 8771, 8775, 8871,
565 8905, 8940, 9020, 9283, 9286, 10793, 12012, 12294, 12844, 12857, 12969, 13058, 13174, 13587, 14099, 14521,
566 14739, 14761, 14889, 15020, 15321, 15430, 15833, 16109, 16349, 82, 88, 146, 262, 291, 537, 578, 680, 776,
567 786, 807, 1032, 1074, 1117, 1160, 1574, 1607, 1635, 1654, 1894, 1907, 2124, 2182, 2204, 2440, 3084, 3225,
568 3308, 3810, 4099, 4120, 4301, 4381, 4488, 4643, 6147, 6557, 6578, 6616, 6620, 7782, 8188, 8207, 8218, 8224,
569 8465, 8603, 8833, 8928, 9249, 9824, 11873, 12305, 12337, 12545, 12565, 12577, 12853, 12897, 12901, 12977,
570 13119, 13140, 13232, 13243, 14128, 14133, 14180, 14475, 14746, 15121, 15217, 15263, 15274, 15771, 15829,
571 16177, 16356, 16372, 16382, 30, 59, 113, 197, 206, 469, 811, 820, 827, 896, 928, 954, 1041, 1057, 1136, 1216,
572 1344, 1361, 1572, 1621, 1861, 2080, 2144, 2181, 2193, 2321, 3073, 3204, 3214, 3269, 3279, 4113, 4357, 4384,
573 4404, 4420, 4497, 4922, 7236, 7492, 7509, 8579, 8600, 8712, 8729, 8866, 9138, 9319, 9827, 9833, 10915, 10985,
574 11267, 12595, 12631, 12838, 13101, 13170, 13382, 13619, 13651, 14131, 14472, 14504, 15032, 15325, 15565,
575 15827, 16125, 16312 };
577 static int cbest_15[1023] = {
578 1, 2, 16385, 4, 8, 24577, 16, 32, 64, 28673, 128, 256, 512, 1024, 30721, 2048, 4096, 8192, 16384, 31745, 3,
579 6, 12, 24, 48, 96, 192, 384, 768, 1536, 3072, 6144, 12288, 24576, 5, 16387, 9, 16389, 10, 17, 16393, 24579,
580 28672, 18, 33, 14336, 16401, 24581, 20, 34, 65, 7168, 16417, 24585, 32257, 36, 66, 129, 3584, 16449, 24593,
581 28675, 40, 68, 130, 257, 1792, 16513, 24609, 28677, 30720, 72, 132, 258, 513, 896, 16641, 24641, 28681, 80,
582 136, 260, 448, 514, 1025, 15360, 16897, 24705, 28689, 144, 224, 264, 516, 1026, 2049, 17409, 24833, 28705,
583 30723, 112, 160, 272, 520, 1028, 2050, 4097, 7680, 18433, 25089, 28737, 30725, 56, 288, 528, 1032, 2052,
584 4098, 8193, 20481, 25601, 28801, 30729, 31744, 32513, 28, 320, 544, 1040, 2056, 3840, 4100, 8194, 26625,
585 28929, 30737, 14, 576, 1056, 2064, 4104, 8196, 16386, 29185, 30753, 7, 13, 25, 49, 97, 193, 385, 640, 769,
586 1088, 1537, 1920, 2080, 3073, 4112, 6145, 8200, 12289, 15872, 16388, 29697, 30785, 31747, 26, 50, 98, 194,
587 386, 770, 1152, 1538, 2112, 3074, 4128, 6146, 8208, 12290, 16391, 16392, 16397, 16409, 16433, 16481, 16577,
588 16769, 17153, 17921, 19457, 22529, 24578, 30849, 31749, 52, 100, 196, 388, 772, 960, 1280, 1540, 2176, 3076,
589 4160, 6148, 8224, 12292, 16400, 24580, 30977, 31753, 11, 104, 200, 392, 776, 1544, 2304, 3080, 4224, 6152,
590 7936, 8256, 12296, 16416, 24583, 24584, 24589, 24601, 24625, 24673, 24769, 24961, 25345, 26113, 27649, 31233,
591 31761, 32256, 19, 22, 208, 400, 480, 784, 1552, 2560, 3088, 4352, 6160, 8320, 12304, 14337, 16395, 16448,
592 24592, 28674, 31777, 21, 35, 38, 44, 416, 800, 1568, 3104, 4608, 6176, 7169, 8448, 12320, 14338, 16403,
593 16512, 24608, 28676, 31809, 32641, 37, 67, 70, 76, 88, 240, 832, 1600, 3136, 3585, 3968, 5120, 6208, 7170,
594 8704, 12352, 14340, 16405, 16419, 16640, 23553, 24587, 24640, 28679, 28680, 28685, 28697, 28721, 28769,
595 28865, 29057, 29441, 30209, 31873, 32259, 41, 69, 131, 134, 140, 152, 176, 1664, 1793, 3200, 3586, 6272,
596 7172, 9216, 12416, 14344, 16128, 16421, 16451, 16896, 19969, 24595, 24704, 28688, 32001, 32261, 42, 73, 120,
597 133, 259, 262, 268, 280, 304, 352, 897, 1794, 3328, 3588, 6400, 7176, 10240, 12544, 14352, 16425, 16453,
598 16515, 17408, 18177, 24597, 24611, 24832, 28704, 30722, 32265, 74, 81, 137, 261, 449, 515, 518, 524, 536,
599 560, 608, 704, 898, 1796, 1984, 3592, 6656, 7184, 12800, 14368, 15361, 16457, 16517, 16643, 17281, 18432,
600 24613, 24643, 25088, 28161, 28683, 28736, 30724, 32273, 60, 82, 138, 145, 225, 265, 450, 517, 900, 1027,
601 1030, 1036, 1048, 1072, 1120, 1216, 1408, 1800, 3600, 7200, 13312, 14400, 15362, 16465, 16521, 16645, 16833,
602 16899, 20480, 24617, 24645, 24707, 25600, 26369, 28691, 28800, 30727, 30728, 30733, 30745, 30769, 30817,
603 30913, 31105, 31489, 32289, 32512, 84, 113, 146, 161, 226, 266, 273, 452, 521, 904, 1029, 1808, 2051, 2054,
604 2060, 2072, 2096, 2144, 2240, 2432, 2816, 3616, 7232, 7681, 8064, 14464, 15364, 16529, 16609, 16649, 16901,
605 17411, 24649, 24709, 24835, 25473, 26624, 28693, 28707, 28928, 30736, 32321, 30, 57, 114, 148, 162, 228, 274,
606 289, 456, 522, 529, 912, 992, 1033, 1824, 2053, 3648, 4099, 4102, 4108, 4120, 4144, 4192, 4288, 4480, 4864,
607 5632, 7296, 7682, 14592, 15368, 16497, 16545, 16657, 16905, 17413, 18435, 24065, 24657, 24713, 24837, 25025,
608 25091, 28709, 28739, 29184, 30752, 32385, 29, 58, 116, 164, 232, 276, 290, 321, 464, 530, 545, 928, 1034,
609 1041, 1856, 2057, 3712, 3841, 4101, 7424, 7684, 8195, 8198, 8204, 8216, 8240, 8288, 8384, 8576, 8960, 9728,
610 11264, 14848, 15376, 16441, 16673, 16913, 17417, 18437, 20483, 24721, 24801, 24841, 25093, 25603, 28713,
611 28741, 28803, 29696, 30465, 30731, 30784, 31746, 32515, 15, 168, 292, 322, 532, 546, 577, 1042, 1057, 2058,
612 2065, 3842, 4105, 7688, 8197, 15392, 16390, 16396, 16408, 16413, 16432, 16480, 16576, 16705, 16768, 16929,
613 17152, 17425, 17920, 18441, 19456, 20225, 20485, 22528, 24689, 24737, 24849, 25097, 25605, 26627, 28745,
614 28805, 28931, 29569, 30739, 30848, 31748, 32517, 32705, 296, 324, 496, 548, 578, 641, 1044, 1058, 1089, 1921,
615 2066, 2081, 3844, 4032, 4106, 4113, 7696, 8201, 15424, 15873, 16256, 16399, 16961, 17441, 18449, 20489,
616 24633, 24865, 25105, 25609, 26629, 28753, 28809, 28933, 29121, 29187, 30741, 30755, 30976, 31751, 31752,
617 31757, 31769, 31793, 31841, 31937, 32129, 32521, 27, 51, 54, 99, 102, 108, 195, 198, 204, 216, 328, 387, 390,
618 396, 408, 432, 552, 580, 642, 771, 774, 780, 792, 816, 864, 1060, 1090, 1153, 1539, 1542, 1548, 1560, 1584,
619 1632, 1728, 1922, 2068, 2082, 2113, 3075, 3078, 3084, 3096, 3120, 3168, 3264, 3456, 3848, 4114, 4129, 6147,
620 6150, 6156, 6168, 6192, 6240, 6336, 6528, 6912, 7712, 8202, 8209, 12291, 12294, 12300, 12312, 12336, 12384,
621 12480, 12672, 13056, 13824, 15488, 15874, 17025, 17473, 18305, 18465, 20497, 24582, 24588, 24600, 24605,
622 24624, 24672, 24768, 24897, 24960, 25121, 25344, 25617, 26112, 26633, 27648, 28417, 28817, 28897, 28937,
623 29189, 29699, 30757, 30787, 31232, 31760, 32529, 53, 101, 197, 336, 389, 584, 644, 773, 961, 1064, 1092,
624 1154, 1281, 1541, 1924, 2084, 2114, 2177, 3077, 3856, 4116, 4130, 4161, 6149, 7744, 8210, 8225, 12293, 15616,
625 15876, 16394, 16411, 16435, 16483, 16579, 16771, 17155, 17537, 17923, 18497, 19459, 20513, 22531, 24591,
626 25153, 25633, 26641, 28785, 28833, 28945, 29193, 29701, 30761, 30789, 30851, 31776, 32545, 105, 201, 248,
627 393, 592, 648, 777, 962, 1096, 1156, 1282, 1545, 1928, 2088, 2116, 2178, 2305, 3081, 3872, 4132, 4162, 4225,
628 6153, 7808, 7937, 8212, 8226, 8257, 12297, 15880, 16402, 16437, 16485, 16581, 16773, 17157, 17345, 17665,
629 17925, 18561, 19461, 20545, 22533, 25217, 25665, 26497, 26657, 28729, 28961, 29201, 29705, 30793, 30853,
630 30979, 31617, 31755, 31808, 32577, 32640, 23, 46, 92, 106, 184, 202, 209, 368, 394, 401, 481, 656, 736, 778,
631 785, 964, 1104, 1160, 1284, 1472, 1546, 1553, 1936, 2016, 2120, 2180, 2306, 2561, 2944, 3082, 3089, 3904,
632 4136, 4164, 4226, 4353, 5888, 6154, 6161, 7938, 8228, 8258, 8321, 11776, 12298, 12305, 15888, 16404, 16418,
633 16489, 16585, 16777, 17161, 17929, 18689, 19465, 20609, 22537, 23552, 24321, 24586, 24603, 24627, 24675,
634 24771, 24963, 25347, 25729, 26115, 26689, 27651, 28678, 28684, 28696, 28701, 28720, 28768, 28864, 28993,
635 29056, 29217, 29440, 29713, 30208, 30801, 30857, 30981, 31169, 31235, 31763, 31872, 32258, 45, 78, 156, 312,
636 624, 672, 801, 1554, 2562, 14384, 16593, 16785, 17937, 24677, 31237, 31765 };
638 static int cbest_16[1023] = {
639 1, 2, 34821, 4, 8, 52231, 16, 60934, 34820, 32, 17410, 3, 8705, 17, 34, 5, 68, 34823, 34829, 6, 136, 30467,
640 34817, 39173, 52230, 64, 272, 52229, 9, 544, 52227, 10, 1088, 12, 2176, 26115, 4352, 50311, 60935, 18, 8704,
641 45956, 60932, 20, 128, 24, 34837, 47876, 17408, 30466, 33, 36, 17411, 52239, 59974, 40, 22978, 48, 256, 8707,
642 17414, 34822, 34828, 43524, 60930, 65286, 19, 35, 8709, 17418, 23938, 26114, 34816, 34836, 34853, 39172,
643 52247, 21, 69, 15233, 21762, 30465, 34825, 52225, 52228, 7, 25, 38, 72, 137, 13057, 19586, 34831, 34881,
644 52226, 42, 65, 80, 273, 10881, 26113, 29987, 34819, 34855, 39175, 50, 66, 70, 76, 545, 9793, 11489, 45957,
645 60933, 60942, 11, 14, 84, 96, 138, 1089, 11969, 34957, 37253, 50310, 52261, 13, 152, 274, 1090, 2177, 34885,
646 34949, 35093, 39169, 50309, 52246, 52263, 49, 144, 257, 546, 4353, 8713, 32643, 32901, 34845, 35365, 38341,
647 47877, 60950, 22, 28, 140, 512, 2180, 4354, 25155, 30471, 35909, 40261, 45716, 52291, 52295, 100, 129, 160,
648 276, 2178, 8706, 17426, 26123, 39717, 49351, 52235, 59975, 44, 98, 130, 168, 548, 4360, 8708, 8721, 34833,
649 51271, 52237, 60928, 81, 132, 192, 304, 514, 1092, 15232, 30464, 30475, 34839, 34861, 39181, 43525, 45958,
650 47872, 50307, 52238, 52367, 53703, 60931, 60951, 60966, 65287, 51, 88, 102, 204, 280, 408, 816, 1632, 3264,
651 6528, 8720, 13056, 17409, 17412, 26119, 45952, 47396, 52243, 52503, 59972, 60964, 26, 37, 85, 170, 196, 288,
652 340, 552, 680, 1360, 2720, 4356, 5440, 10880, 17416, 22858, 22976, 23936, 26112, 29986, 34844, 40565, 40805,
653 52245, 52775, 54663, 41, 56, 153, 162, 200, 306, 612, 1096, 1224, 2448, 4896, 7616, 8737, 9792, 11488, 17422,
654 17440, 21760, 22979, 30483, 34849, 34852, 39189, 47044, 47878, 49895, 50855, 59494, 60454, 65284, 145, 320,
655 336, 1028, 2184, 8711, 11968, 17415, 17442, 34824, 34889, 34893, 43520, 50583, 52224, 60940, 60994, 23, 29,
656 258, 392, 560, 608, 17419, 23698, 23939, 30482, 34827, 34830, 34832, 34863, 34880, 43526, 50319, 52259,
657 56583, 60943, 64806, 46, 58, 74, 176, 260, 324, 384, 1024, 1104, 3808, 8225, 8712, 14993, 17427, 17474,
658 19584, 21763, 32642, 34818, 34838, 34854, 39174, 45964, 52257, 57574, 59970, 39, 73, 82, 92, 264, 290, 2192,
659 5744, 5984, 8769, 11429, 19587, 25154, 26131, 29985, 30227, 30470, 34869, 35077, 38933, 39205, 41604, 43532,
660 52242, 52359, 58054, 60948, 61070, 63366, 65294, 43, 52, 112, 116, 400, 2056, 4368, 8739, 12577, 16450,
661 17478, 20802, 21766, 26122, 29747, 30497, 34841, 34851, 34956, 37252, 42212, 50327, 52244, 52255, 52260,
662 60998, 61206, 65282, 67, 71, 77, 89, 178, 184, 576, 672, 1904, 8773, 10401, 10883, 11425, 11849, 13061,
663 15235, 15241, 17546, 18626, 22850, 22982, 26121, 26130, 30499, 34884, 34948, 34965, 35092, 39168, 39188,
664 42692, 45700, 45717, 45972, 47884, 50191, 50308, 52233, 52262, 59014, 60938, 15, 27, 78, 97, 139, 148, 164,
665 289, 352, 356, 1120, 1216, 2992, 8717, 8841, 9313, 13059, 13065, 17538, 17682, 19594, 23522, 30469, 30474,
666 32900, 34857, 34883, 35364, 37013, 37249, 38340, 39171, 44612, 45836, 52293, 59906, 60246, 57, 86, 232, 275,
667 640, 784, 1091, 2872, 8715, 8977, 9797, 17424, 17434, 17954, 23942, 26118, 26147, 29953, 32641, 34897, 34901,
668 34945, 34981, 35908, 37255, 38221, 39233, 40260, 49349, 51127, 52290, 52294, 59766, 59982, 60110, 60929,
669 60949, 154, 224, 321, 368, 547, 648, 712, 952, 4112, 4384, 9795, 11491, 15237, 16321, 17430, 22986, 25153,
670 26117, 26145, 28787, 29027, 29955, 32403, 32897, 34871, 34887, 34951, 38337, 39207, 39716, 40533, 45596,
671 45959, 47873, 47892, 49350, 51007, 51269, 52234, 52241, 52271, 52289, 52303, 60946, 60967, 104, 118, 141,
672 156, 259, 328, 393, 513, 516, 561, 580, 704, 768, 800, 1496, 2181, 2208, 4355, 8725, 8736, 11393, 11457,
673 11971, 19590, 21106, 21346, 22306, 22918, 29507, 30473, 30535, 34868, 34917, 34959, 35009, 35013, 35076,
674 40021, 45701, 45953, 45973, 47397, 49231, 50305, 50341, 51270, 52236, 52269, 52279, 52311, 52487, 59973,
675 60965, 30, 59, 101, 142, 161, 177, 186, 261, 277, 325, 385, 464, 520, 578, 786, 1105, 1344, 1424, 2179, 2182,
676 4362, 8710, 8723, 10885, 17420, 19170, 20130, 23946, 24675, 25635, 29991, 30603, 31683, 32647, 34835, 34840,
677 34860, 34909, 34953, 34973, 35095, 35101, 35911, 39180, 39309, 39477, 40517, 40549, 40737, 50306, 50326,
678 50343, 52254, 52277, 52366, 53702, 59910, 59990, 60962, 61062, 45, 54, 83, 93, 99, 114, 131, 134, 146, 169,
679 172, 194, 236, 265, 278, 291, 358, 476, 528, 549, 650, 736, 1094, 1122, 1436, 1572, 2048, 2193, 2240, 2432,
680 2856, 4361, 8724, 8741, 11493, 17450, 17482, 19858, 21770, 22786, 22914, 22994, 30531, 32903, 32909, 34847,
681 34913, 34964, 35089, 35367, 35373, 38343, 39183, 39237, 39719, 40535, 45988, 47045, 47879, 49827, 51267,
682 52327, 52365, 52502, 53583, 53701, 54661, 59426, 59495, 60455, 60958, 65285, 53, 113, 117, 133, 193, 234,
683 305, 308, 372, 448, 468, 515, 550, 582, 642, 716, 748, 936, 1093, 1152, 1300, 1408, 1428, 2210, 2848, 3144,
684 4369, 8224, 8722, 11153, 11459, 11841, 11973, 14992, 17446, 17448, 22798, 25163, 26127, 30481, 34877, 34983,
685 35333, 35361, 35917, 39177, 39685, 40263, 40564, 40804, 43521, 43540, 45236, 45476, 45580, 45718, 47636,
686 47893, 49893, 50183, 50371, 50567, 50991, 52251, 52299, 52325, 52363, 52501, 52774, 53575, 54662, 60452,
687 60941, 60947, 60995, 65302, 103, 166, 179, 185, 205, 281, 296, 312, 354, 370, 409, 472, 714, 740, 817, 928,
688 1164, 1432, 1480, 1568, 1633, 1872, 2244, 2600, 3265, 4358, 4364, 4386, 5712, 6288, 6529, 8768, 8833, 9729,
689 10065, 10673, 10889, 11397, 11428, 11761, 17413, 17444, 22790, 22856, 23682, 23954, 26183, 29713, 29984,
690 29995, 30123, 30226, 34848, 34859, 34896, 34900, 35905, 40257, 43527, 45116, 45572, 45712, 45828, 46016,
691 47156, 47392, 47874, 49894, 50854, 50983, 52307, 52499, 52773, 60960, 60974, 60992, 64807, 90, 149, 171, 197,
692 208, 238, 282, 341, 353, 357, 518, 553, 681, 744, 770, 1098, 1156, 1280, 1296, 1361, 1472, 1634, 2188, 2328,
693 2721, 2864, 3266, 3744, 4357, 4420, 5200, 5441, 6530, 7496, 8729, 8738, 9585, 9801, 9929, 10553, 11395,
694 11497, 12576, 14977, 15249, 17417, 21778, 22794, 22859, 22977, 23696, 23818, 23937, 26129, 26251, 29715,
695 29746, 30055, 30479, 30480, 30496, 33989, 34870, 34888, 34892, 34905, 34915, 34919, 34989, 35017, 38213,
696 39191, 39713, 40741, 45954, 45965, 45990, 46924, 47908, 49347, 50317, 50582, 50735, 50853, 52240, 52267,
697 52771, 54423, 56581, 57506, 57510, 57575, 59492, 59971, 59991, 60102, 60936, 60982, 198, 374, 1097, 1225,
698 7488, 15113, 17441, 17472, 26387, 29883, 30211, 34879, 35205, 50463, 50999, 52258, 61071 };
701 static int cbest_17[1023] = {
702 1, 2, 65540, 4, 32770, 8, 16385, 16, 32, 73732, 64, 128, 36866, 256, 512, 18433, 1024, 2048, 4096, 74756,
703 8192, 16384, 37378, 32768, 3, 18689, 65536, 65541, 5, 32771, 65542, 6, 9, 18, 36, 72, 144, 288, 576, 1152,
704 2304, 4608, 9216, 18432, 98310, 10, 17, 16387, 32774, 36864, 65548, 81925, 12, 33, 16389, 32778, 49155,
705 65556, 73728, 73733, 74884, 20, 34, 65, 16393, 32786, 65572, 73734, 24, 66, 129, 16401, 32802, 36867, 65604,
706 106502, 40, 68, 130, 257, 16417, 32834, 65668, 73740, 90117, 102406, 48, 132, 258, 513, 16449, 32898, 36870,
707 37442, 65796, 73748, 80, 136, 260, 514, 1025, 16513, 18435, 33026, 36874, 53251, 66052, 73764, 83973, 96,
708 264, 516, 1026, 2049, 16641, 18437, 33282, 36882, 51203, 66564, 73796, 160, 272, 520, 1028, 2050, 4097,
709 16897, 18441, 18688, 33794, 36898, 37376, 67588, 73860, 74752, 74757, 110598, 192, 528, 1032, 2052, 4098,
710 8193, 9344, 17409, 18449, 18721, 34818, 36930, 69636, 73988, 74758, 320, 544, 1040, 2056, 4100, 4672, 8194,
711 18465, 36994, 74244, 92165, 107526, 384, 1056, 2064, 2336, 4104, 8196, 16386, 18497, 20481, 37122, 37379,
712 40962, 74764, 81924, 91141, 640, 1088, 1168, 2080, 4112, 8200, 16388, 18561, 24577, 32769, 49154, 55299,
713 74772, 75780, 102918, 584, 768, 2112, 4128, 8208, 16392, 37382, 37890, 74788, 77828, 98308, 292, 1280, 2176,
714 4160, 8224, 16400, 18945, 32772, 32784, 37386, 38914, 53763, 65537, 74820, 74900, 146, 1536, 4224, 8256,
715 16416, 18691, 19457, 32776, 37394, 49153, 65538, 65543, 65568, 84229, 90116, 111622, 7, 19, 37, 73, 145, 289,
716 577, 1153, 2305, 2560, 4352, 4609, 8320, 9217, 16448, 18693, 37410, 45058, 51459, 75012, 98306, 98311,
717 111110, 11, 38, 74, 290, 578, 1154, 2306, 3072, 4610, 8448, 9218, 16512, 18434, 18697, 22529, 32775, 32800,
718 36865, 53250, 65544, 65549, 65558, 65612, 65684, 65828, 66116, 66692, 67844, 70148, 75268, 81921, 83972,
719 93189, 106500, 13, 22, 76, 148, 580, 1156, 2308, 4612, 5120, 8704, 9220, 16640, 18436, 18705, 26625, 32779,
720 32806, 32832, 32842, 32914, 33058, 33346, 33922, 35074, 37506, 41986, 51202, 65550, 65552, 65557, 73729,
721 74880, 74885, 81927, 102404, 14, 21, 26, 35, 44, 152, 296, 1160, 2312, 4616, 6144, 9224, 16391, 16403, 16421,
722 16457, 16529, 16673, 16896, 16961, 17537, 18440, 20993, 25601, 32787, 32896, 36868, 36880, 37440, 37450,
723 37634, 65573, 73730, 73735, 73760, 74886, 76804, 92421, 98318, 114695, 25, 52, 67, 88, 304, 592, 2320, 4624,
724 9232, 10240, 16395, 17408, 18448, 18720, 18753, 32782, 32803, 33024, 36872, 49159, 53249, 55811, 65574,
725 65600, 65605, 78852, 81933, 98326, 106498, 106503, 107654, 41, 50, 69, 104, 131, 176, 608, 1184, 4640, 9248,
726 12288, 16397, 18464, 18817, 32790, 32835, 33280, 38402, 49163, 51201, 55555, 65564, 65606, 65664, 65669,
727 73736, 73741, 73750, 73804, 73876, 74020, 74308, 74892, 76036, 78340, 81941, 90113, 91269, 92164, 98342,
728 102402, 102407, 28, 42, 49, 70, 82, 100, 133, 208, 259, 352, 1216, 2368, 9280, 9360, 16405, 16419, 18496,
729 20480, 32794, 32899, 33792, 36871, 36896, 37443, 39426, 49171, 65580, 65670, 65792, 65797, 73742, 73744,
730 73749, 81957, 90119, 91140, 98374, 110596, 81, 134, 137, 164, 200, 261, 416, 515, 704, 2432, 4736, 16409,
731 16451, 18560, 19201, 24576, 32810, 32838, 33027, 34816, 36875, 36902, 36928, 36938, 37010, 37154, 38018,
732 39170, 46082, 49187, 55298, 65588, 65798, 66048, 66053, 73765, 74916, 81989, 83969, 98438, 102982, 106510,
733 112134, 122887, 97, 138, 262, 265, 274, 328, 400, 517, 832, 1027, 1408, 4680, 4864, 9472, 16425, 16453,
734 16515, 18725, 19713, 32818, 32902, 33283, 36883, 36992, 37446, 45570, 49219, 65620, 65676, 66054, 66560,
735 66565, 73766, 73792, 73797, 74948, 82053, 83975, 90125, 98566, 102414, 106518, 107524, 118791, 56, 84, 98,
736 140, 161, 266, 273, 518, 521, 530, 548, 656, 800, 1029, 1664, 2051, 2816, 9728, 16433, 16517, 16643, 18439,
737 18451, 18469, 18505, 18577, 18944, 19009, 19585, 23041, 27649, 32850, 32906, 33030, 33795, 36878, 36899,
738 37120, 37377, 40960, 49283, 53255, 53762, 53827, 65636, 65804, 66566, 67584, 67589, 73756, 73798, 73856,
739 73861, 74753, 82181, 90133, 98822, 102422, 106534, 110594, 110599, 111750, 116743, 162, 193, 268, 522, 529,
740 1030, 1033, 1042, 1060, 1096, 1312, 1600, 2053, 2340, 3328, 4099, 5632, 9345, 16465, 16521, 16645, 16899,
741 18443, 18690, 19456, 22785, 32866, 33034, 33286, 34819, 36886, 36931, 37458, 49152, 49411, 51207, 53259,
742 55297, 65700, 65812, 66060, 67590, 69632, 69637, 73772, 73862, 73984, 73989, 74754, 74759, 74784, 75140,
743 82437, 83981, 84228, 90149, 93445, 99334, 102438, 102916, 106566, 194, 276, 321, 524, 545, 1034, 1041, 2054,
744 2057, 2066, 2084, 2120, 2192, 2624, 3200, 4101, 4673, 6656, 8195, 9346, 11264, 16481, 16649, 16901, 17411,
745 18445, 18692, 18723, 26881, 32930, 33042, 33290, 33798, 36890, 36995, 37380, 37392, 37474, 37888, 49667,
746 51211, 51458, 53267, 65732, 66068, 66572, 69638, 73780, 73990, 74240, 74245, 75396, 82949, 83989, 84261,
747 90181, 92161, 93317, 100358, 102470, 106630, 107522, 107527, 111174, 112, 168, 196, 280, 322, 385, 532, 546,
748 1036, 1057, 1170, 2058, 2065, 2337, 4102, 4105, 4114, 4132, 4168, 4240, 4384, 4674, 5248, 6400, 8197, 9348,
749 13312, 16545, 16657, 16905, 17413, 18453, 18467, 18696, 22528, 32962, 33298, 33802, 34822, 36906, 36934,
750 37123, 37384, 38912, 40963, 42114, 50179, 51219, 51491, 53283, 53761, 65860, 66084, 66580, 67596, 70212,
751 73812, 73868, 74246, 74760, 74765, 74774, 74828, 75044, 75332, 77060, 79364, 81920, 84005, 90245, 91137,
752 92167, 93188, 102534, 106758, 110606, 126983, 324, 386, 536, 641, 1044, 1058, 1089, 1169, 2060, 2081, 2338,
753 4106, 4113, 4676, 8198, 8201, 8210, 8228, 8264, 8336, 8480, 8768, 9352, 10496, 12800, 16577, 16913, 17417,
754 18457, 18499, 18704, 18729, 20483, 25729, 26624, 33090, 33314, 33810, 34826, 36914, 36998, 37570, 51235,
755 53315, 56067, 65924, 66596, 67604, 67876, 69644, 73828, 73996, 74766, 74768, 74773, 75776, 75781, 76932,
756 81926, 84037, 86021, 90373, 91143, 102662, 102914, 102919, 107014, 110614, 111620, 124935, 388, 552, 585,
757 642, 769, 1048, 1090, 2068, 2082, 2113, 4108, 4129, 8202, 8209, 16390, 16402, 16420, 16456, 16528, 16672,
758 16705, 16929, 16960, 17425, 17536, 18473, 18501, 18563, 18737, 20485, 20992, 21057, 24579, 25600, 32912,
759 33154, 33826, 34834, 35106, 36946, 37002, 37126, 37383, 37408, 37698, 37891, 40966, 45056, 51267, 51457,
760 53379, 65824, 66180, 66628, 66708, 67620, 69652, 73892, 74004, 74252, 74789, 74902, 75782, 77824, 77829,
761 78980, 84101, 90629, 92173, 92420, 98304, 98309, 107534, 110630, 111108, 114694, 120839, 123911, 392, 644,
762 770, 1281, 2072, 2114, 2177, 4116, 4130, 4161, 8204, 8225, 16769, 17441, 18565, 24581, 33410, 33938, 34850,
763 36962, 37130, 38530, 38915, 40970, 46594, 49158, 53248, 55303, 55810, 69668, 73924, 74260, 74790, 74821,
764 74896, 74901, 77830, 91149, 92181, 92453, 107542, 110662 };
766 static int cbest_18[1023] = {
767 1, 2, 131136, 4, 65568, 8, 32784, 16, 16392, 32, 8196, 64, 4098, 128, 2049, 256, 512, 132160, 1024, 2048,
768 66080, 4096, 33040, 8192, 16520, 8260, 16384, 3, 4130, 32768, 131137, 5, 65569, 131138, 6, 9, 2065, 32785,
769 65536, 65570, 131140, 196704, 10, 17, 16393, 32786, 65572, 131144, 163920, 12, 18, 33, 8197, 16394, 32788,
770 65576, 98352, 131072, 131152, 147528, 20, 34, 65, 4099, 8198, 16396, 32792, 65584, 81960, 131168, 132168,
771 139332, 24, 36, 66, 129, 258, 516, 1032, 2064, 49176, 73764, 135234, 40, 68, 130, 257, 2051, 4102, 4128,
772 8204, 16408, 32816, 40980, 65632, 69666, 131264, 133185, 48, 72, 132, 513, 2053, 4106, 8212, 8256, 16424,
773 24588, 32848, 36882, 65696, 66084, 67617, 131392, 132161, 80, 136, 260, 514, 1025, 2057, 4114, 8228, 16456,
774 16512, 20490, 32912, 34833, 65824, 131648, 132162, 96, 144, 264, 1026, 12294, 18441, 33024, 66081, 132164,
775 197728, 160, 272, 520, 1028, 2050, 2081, 4162, 8324, 10245, 16648, 33042, 33296, 66048, 66082, 66592, 133184,
776 164944, 197216, 192, 288, 528, 2052, 2113, 4097, 4226, 6147, 8452, 16904, 33041, 33808, 67616, 132096,
777 132176, 148552, 320, 544, 1040, 2056, 2177, 4354, 8708, 17416, 34832, 66088, 98864, 132192, 135232, 140356,
778 164176, 384, 576, 1056, 2305, 4100, 4610, 8193, 9220, 16521, 18440, 33044, 66096, 69664, 82472, 98608,
779 136258, 640, 1088, 2080, 2561, 4104, 5122, 8194, 10244, 16522, 33048, 36880, 74276, 132288, 134209, 139268,
780 139328, 147656, 768, 1152, 2112, 3073, 4112, 6146, 8261, 16385, 16524, 20488, 49432, 66144, 69634, 70178,
781 73760, 82088, 132416, 1280, 2176, 8200, 8262, 12292, 16386, 33072, 34817, 40976, 41236, 49304, 66208, 68129,
782 132672, 147520, 1536, 2304, 4131, 4160, 4352, 8208, 16388, 16536, 24584, 32769, 33104, 37138, 66336, 73828,
783 81952, 2560, 4224, 6145, 8224, 8268, 8704, 16552, 24716, 32770, 33168, 35089, 41044, 49168, 131139, 134208,
784 135266, 148544, 163904, 198240, 7, 3072, 4134, 8276, 12290, 16400, 16584, 17408, 20618, 24652, 32772, 65537,
785 65571, 67104, 98336, 131141, 196705, 11, 2067, 4138, 4608, 8292, 8320, 10241, 16416, 18569, 24580, 32776,
786 32787, 33552, 34816, 36914, 65538, 65573, 68128, 74272, 131142, 131145, 133201, 136256, 163921, 165200,
787 196672, 196706, 13, 19, 2069, 4146, 5120, 8448, 12358, 16395, 16448, 16776, 20482, 20522, 32789, 34064,
788 49160, 65540, 65574, 65577, 67633, 98353, 131073, 131146, 131153, 147529, 163922, 196708, 14, 21, 35, 2073,
789 6144, 8199, 8388, 10309, 12326, 16397, 17032, 18433, 32790, 32793, 32800, 35088, 37136, 40964, 65544, 65578,
790 65585, 69632, 70176, 81961, 98320, 98354, 99120, 131074, 131148, 131154, 131169, 132169, 139333, 140292,
791 140352, 147530, 148680, 163924, 196712, 229488, 22, 25, 37, 67, 259, 517, 1033, 4194, 8516, 9216, 16398,
792 16640, 17544, 18457, 32794, 32832, 36866, 49177, 65552, 65580, 65586, 73765, 81928, 81962, 98356, 131076,
793 131156, 131170, 132170, 135235, 139334, 147532, 163928, 196640, 196720, 213096, 26, 38, 41, 69, 131, 518,
794 1034, 2066, 2097, 4103, 4129, 4258, 6179, 8205, 8772, 10240, 10261, 16409, 16896, 18568, 32796, 32817, 32896,
795 40981, 49178, 65588, 65633, 69667, 70146, 73732, 73766, 81964, 82600, 98360, 131080, 131160, 131172, 131265,
796 131394, 131652, 132172, 133200, 139264, 163856, 180312, 197736, 204900, 28, 42, 49, 70, 73, 133, 262, 1036,
797 2068, 2129, 4107, 4386, 6163, 8206, 8213, 8257, 9284, 16410, 16425, 24589, 32818, 32849, 36883, 40982, 49180,
798 65592, 65600, 65634, 65697, 65826, 66085, 66600, 67632, 114744, 131088, 131176, 131266, 131393, 133187,
799 135238, 135264, 139340, 147464, 147544, 163952, 164952, 172116, 200802, 44, 50, 74, 81, 134, 137, 261, 266,
800 515, 524, 2055, 2072, 2193, 4115, 4132, 4642, 8214, 8229, 8258, 10308, 12288, 16412, 16426, 16457, 16513,
801 18432, 20491, 20616, 24590, 32820, 32850, 32913, 33026, 33280, 33300, 33816, 35073, 41232, 49560, 65636,
802 65664, 65698, 65825, 66052, 66086, 67585, 67619, 69670, 73772, 74340, 81976, 82464, 106548, 131104, 131184,
803 131268, 131649, 132104, 132163, 132184, 133189, 135242, 136290, 139348, 147560, 155724, 164928, 168018,
804 196832, 197220, 198753, 52, 76, 82, 97, 138, 145, 265, 274, 532, 1027, 1048, 2059, 2321, 4110, 4136, 5154,
805 8230, 12295, 16428, 16458, 16514, 16650, 16908, 18456, 32824, 32852, 32914, 33025, 33792, 34835, 36886,
806 36912, 40988, 65640, 65700, 65792, 67621, 69674, 73780, 73824, 90156, 98416, 102450, 131272, 131396, 131650,
807 132165, 132200, 133193, 135170, 135250, 139364, 140364, 147648, 151626, 164048, 165969, 196960, 197729, 56,
808 84, 98, 140, 146, 161, 273, 290, 521, 548, 1029, 1064, 2061, 2096, 2577, 4118, 4144, 4163, 6178, 8220, 8264,
809 8325, 8454, 9228, 10260, 12356, 16460, 16516, 16649, 18443, 20480, 20494, 20520, 24712, 32856, 32916, 33043,
810 33297, 34837, 36890, 41040, 41300, 49208, 49424, 57372, 65648, 65704, 65828, 66049, 66083, 66092, 66593,
811 67625, 69682, 82024, 82080, 86058, 98480, 98848, 98868, 100401, 131200, 131280, 131400, 132166, 133121,
812 134225, 136266, 143430, 149577, 164160, 164945, 197217, 197696, 197730, 88, 100, 148, 162, 193, 268, 289,
813 322, 522, 529, 580, 1030, 1096, 2083, 2128, 3089, 4122, 4227, 4614, 5130, 6162, 8236, 8272, 8326, 8453,
814 10247, 12324, 16440, 16905, 18445, 24604, 24648, 32920, 33028, 33298, 33809, 34841, 41012, 49240, 49296,
815 53274, 65712, 65832, 66050, 66100, 66560, 66594, 77862, 82476, 84009, 98592, 131296, 131328, 131408, 131656,
816 132097, 132177, 132296, 133186, 133217, 134217, 139460, 141381, 147784, 148553, 148672, 164178, 164432,
817 164946, 197184, 197218, 197732, 104, 152, 164, 194, 276, 321, 386, 530, 545, 644, 1041, 1160, 2054, 2085,
818 2115, 2192, 2307, 2565, 3081, 4166, 4192, 4355, 4384, 8244, 8288, 8709, 8768, 12302, 16472, 16528, 16652,
819 16906, 17417, 17536, 20506, 24576, 24620, 24780, 32880, 33032, 33046, 33810, 35072, 36864, 37170, 45078,
820 51225, 65840, 66089, 66596, 67584, 67618, 68145, 69730, 73892, 75813, 82216, 98610, 98865, 131424, 131584,
821 131664, 132098, 132178, 132193, 132424, 133188, 135233, 135362, 137283, 139588, 140357, 148040, 148554,
822 164177, 164948, 198752, 230512, 112, 168, 196, 280, 292, 385, 546, 577, 772, 1042, 1057, 1288, 2058, 2089,
823 2117, 2179, 2320, 4101, 4170, 4230, 4256, 4611, 6151, 6177, 8332, 8710, 9221, 10253, 12310, 12354, 16488,
824 16544, 17418, 24708, 28686, 32944, 33045, 33050, 33304, 33812, 34834, 34865, 36946, 41108, 43029, 49416,
825 65760, 66056, 66090, 66097, 66148, 67620, 67681, 69665, 69794, 70144, 70182, 71715, 74020, 82473, 98609,
826 98832, 98866, 99376, 131680, 132100, 132180, 132194, 132680, 133192, 133313, 135490, 136259, 139844, 140358,
827 148556, 165968, 197224, 197664, 197744, 214120, 230000, 176, 200, 296, 324, 536, 641, 770, 1044, 1058, 1089,
828 1544, 2060, 2121, 2181, 4105, 4178, 4234, 4358, 8460, 9222, 10305, 16576, 17420, 18442, 18473, 20554, 20610,
829 32976, 33049, 33056, 34836, 34897, 38931, 41220, 65888, 66098, 66608, 67624, 67745, 68133, 74277, 74336,
830 82440, 82474, 131520, 132196, 132418, 133120, 133441, 134224, 135746, 164880, 181336, 197232, 205924, 229744 };
833 static int cbest_19[1023] = {
834 1, 2, 262163, 4, 393242, 8, 196621, 16, 32, 360469, 64, 262162, 128, 131081, 3, 442393, 262161, 6, 256,
835 393243, 5, 327703, 12, 196620, 512, 393240, 9, 24, 98310, 262167, 426008, 10, 458782, 48, 1024, 49155,
836 196617, 17, 213004, 262171, 393234, 483359, 18, 96, 262147, 360471, 393246, 20, 2048, 16385, 196623, 286738,
837 360468, 442392, 33, 192, 32770, 106502, 229391, 34, 65540, 196613, 270355, 360465, 36, 384, 4096, 131080,
838 143369, 180234, 393226, 40, 65, 53251, 221196, 262195, 66, 768, 376852, 397338, 442395, 68, 8192, 24577,
839 49154, 90117, 503836, 72, 129, 1536, 262160, 262227, 80, 110598, 198669, 288786, 393274, 132, 3072, 16384,
840 98308, 188426, 196637, 274451, 327702, 333847, 483358, 7, 130, 136, 257, 131083, 262291, 307217, 144, 6144,
841 49153, 163851, 213005, 262165, 286739, 327699, 360477, 393241, 393306, 426010, 13, 160, 55299, 131073,
842 144393, 196616, 196653, 262166, 327701, 360453, 361493, 426009, 14, 26, 258, 264, 513, 12288, 53250, 94213,
843 131085, 196609, 262419, 399386, 442385, 458783, 25, 52, 272, 26625, 98306, 98311, 251918, 344086, 360467,
844 393370, 429080, 442397, 11, 104, 288, 24576, 32768, 90116, 106500, 196619, 196622, 196685, 229389, 262155,
845 262170, 262175, 311312, 368661, 393218, 393235, 393238, 393244, 405530, 458778, 22, 28, 49, 208, 260, 320,
846 514, 1025, 45058, 155656, 180235, 229390, 241679, 262146, 262169, 262675, 360470, 376853, 393232, 393247,
847 442394, 458780, 44, 416, 528, 22529, 77828, 172043, 180232, 196612, 199693, 213000, 221197, 262145, 262179,
848 289810, 360501, 393498, 415771, 442905, 483355, 491548, 19, 88, 97, 544, 832, 38914, 53249, 143368, 196749,
849 275475, 309265, 442377, 475167, 483357, 21, 38, 50, 56, 176, 516, 576, 1026, 1664, 2049, 19457, 71684,
850 114695, 131097, 135177, 202765, 214540, 263187, 270354, 288787, 334359, 360464, 426000, 76, 193, 352, 640,
851 3328, 32771, 35842, 49152, 106498, 106503, 139273, 213006, 229387, 262151, 278546, 286736, 327711, 352278,
852 360533, 393227, 393754, 426012, 446489, 458774, 35, 98, 152, 194, 704, 1056, 6656, 17921, 55298, 65536,
853 65541, 196629, 196877, 245774, 262194, 262259, 273427, 294929, 319504, 327687, 348182, 376854, 393224,
854 393258, 450585, 37, 42, 70, 112, 304, 385, 520, 1028, 1088, 1408, 2050, 4097, 13312, 16387, 49159, 94212,
855 110596, 125959, 131113, 144905, 188427, 196615, 212996, 262193, 264211, 270353, 315408, 329751, 360473,
856 362005, 372757, 382996, 397339, 483351, 503838, 41, 140, 608, 1152, 2816, 26624, 27649, 98318, 159752,
857 188424, 198668, 221192, 262355, 271891, 331799, 360597, 394266, 399898, 442425, 499740, 503837, 67, 100, 280,
858 388, 769, 1216, 1280, 5632, 47106, 65542, 98304, 99334, 107270, 157704, 176139, 196633, 196636, 197133,
859 262226, 363541, 376848, 393230, 406554, 409627, 425992, 427032, 442384, 69, 74, 84, 224, 386, 560, 1032,
860 2052, 2112, 2432, 4098, 8193, 11264, 16389, 49163, 49667, 79876, 90113, 122887, 131082, 131145, 143371,
861 163849, 174091, 229383, 262199, 262225, 262547, 266259, 271123, 286742, 344087, 360479, 393275, 393338,
862 397336, 428056, 429336, 442396, 458766, 470046, 483615, 503832, 73, 196, 1120, 1537, 2176, 4864, 22528,
863 23553, 32774, 55297, 78852, 81925, 98326, 163850, 213516, 221198, 262203, 274450, 307219, 311313, 327735,
864 333846, 360455, 360725, 393266, 393272, 395290, 398874, 416795, 442399, 442457, 460830, 81, 134, 770, 776,
865 2240, 2304, 9728, 39938, 53248, 110594, 110599, 131072, 137225, 143361, 144392, 180226, 196649, 196652,
866 196669, 197645, 198665, 214028, 251919, 262290, 262931, 270359, 286994, 303121, 307216, 327697, 356374,
867 360449, 393434, 434200, 442387, 483343, 133, 148, 168, 448, 1040, 2056, 2560, 3073, 4100, 4480, 8194, 16393,
868 16897, 19456, 24579, 39426, 49171, 90119, 98309, 106758, 114694, 131084, 131209, 143373, 180238, 191498,
869 196608, 199949, 221188, 249870, 251916, 262164, 262211, 262231, 275987, 286746, 288784, 289811, 323600,
870 327698, 333843, 360461, 360476, 361495, 393307, 398106, 415770, 426011, 442904, 443161, 448537, 466974,
871 483354, 485407, 131, 137, 200, 1538, 4224, 8960, 17409, 19969, 32778, 53255, 53635, 57347, 72196, 98342,
872 106510, 107014, 131077, 143497, 153608, 155657, 196639, 196717, 203277, 213020, 217100, 262235, 263699,
873 270611, 274449, 286722, 325136, 327700, 327767, 333845, 350230, 360452, 360981, 361492, 393278, 393298,
874 393304, 393626, 397330, 426040, 442376, 442521, 475166, 483356, 487455, 82, 138, 145, 268, 772, 1552, 4352,
875 6145, 17920, 18433, 19713, 33794, 45056, 53379, 65548, 106496, 166923, 180233, 196618, 196645, 196681,
876 196684, 198671, 213001, 229385, 229388, 230415, 241677, 262289, 262418, 270363, 270867, 317456, 334615,
877 349206, 360485, 397342, 397722, 399387, 417819, 429082, 442369, 442389, 443929, 458814, 503828, 146, 161,
878 296, 336, 392, 896, 2064, 3074, 4104, 4608, 8196, 16386, 16401, 20481, 24581, 34818, 36098, 49158, 49187,
879 53507, 76804, 108550, 125958, 131087, 131089, 131337, 161800, 172041, 180746, 196813, 199437, 214668, 221452,
880 241678, 262153, 262275, 262295, 265235, 270339, 271379, 273939, 278547, 286737, 290834, 311314, 327707,
881 330775, 352279, 360466, 360503, 361489, 368663, 393216, 393371, 394010, 397466, 413723, 429081, 446488,
882 458770, 458776, 15, 27, 54, 108, 162, 216, 259, 265, 432, 864, 1540, 1728, 3456, 5120, 6912, 12289, 13824,
883 27648, 32786, 36866, 38912, 49157, 53259, 67588, 94209, 98374, 106518, 131075, 172042, 178187, 196655,
884 198661, 199692, 213036, 214541, 229407, 233487, 262154, 262174, 262299, 272403, 319505, 327831, 348183,
885 360497, 368660, 376855, 393219, 393239, 393245, 393290, 393310, 393362, 397594, 401434, 405531, 426014,
886 426072, 442379, 442649, 450584, 458779, 483391, 503964, 514077, 53, 266, 273, 536, 3104, 6146, 8448, 18049,
887 24833, 38402, 40962, 54275, 65556, 69636, 86021, 90373, 98307, 114693, 124935, 145417, 158728, 188418,
888 196611, 196677, 196745, 196748, 197005, 198733, 199053, 200717, 207885, 212992, 213007, 235023, 237583,
889 251914, 262168, 262173, 262417, 262674, 268307, 288790, 288850, 315409, 339991, 344082, 376860, 377364,
890 382997, 393233, 393236, 394778, 397850, 399384, 426002, 442907, 458781, 458846, 483347, 483350, 483353,
891 491550, 30, 105, 262, 274, 289, 400, 592, 672, 1792, 2080, 3076, 4112, 8200, 8704, 16388, 16417, 24585,
892 32769, 35840, 49162, 49219, 49666, 73732, 80900, 90112, 90125, 95749, 98314, 99846, 106501, 110726, 122886,
893 131096, 131593, 135176, 143385, 144395, 175115, 180250, 184330, 188430, 198797, 202764, 223244, 245775,
894 262144, 262149, 262178, 262183, 262323, 262403, 272147, 274455, 286770, 288914, 309267, 333911, 344084,
895 360500, 360535, 360565, 362133, 368657, 376836, 388116, 393368, 393499, 397322, 398362, 400154, 407066,
896 427544, 438296, 442424, 491549, 23, 29, 46, 92, 106, 184, 209, 261, 276, 290, 321, 368, 515, 736, 1472, 1544,
897 2944, 5888, 9216, 11776, 12290, 19201, 23552, 32802, 45059, 53267, 55296, 81924, 94215, 98316, 98438, 106534,
898 139272, 163843, 174603, 196687, 197389, 198861, 198925, 212997, 213002, 213068, 221212, 225292, 229386,
899 229423, 241675, 245772, 262427, 272019, 274579, 275474, 288978, 305169, 307221, 309264, 327959, 345622,
900 360529, 362517, 363797, 376849, 378900, 393354, 393374, 393490, 396314, 405528, 409626, 426136, 436248,
901 461854, 470558, 471070, 483423, 503820, 504860, 417, 529, 1072, 6148, 10240, 92165, 101382, 125957, 144425,
902 147464, 196741, 204813, 262159, 262339, 262673, 263186, 286743, 288794, 307345, 327683, 425984, 426001,
903 432152, 442409, 458910, 505884 };
905 static int cbest_20[1023] = {
906 1, 2, 524292, 4, 262146, 8, 131073, 16, 32, 589828, 64, 128, 294914, 256, 512, 147457, 1024, 2048, 4096,
907 598020, 8192, 16384, 32768, 299010, 65536, 131072, 149505, 262144, 3, 524288, 524293, 5, 262147, 524294,
908 599044, 6, 9, 18, 36, 72, 144, 288, 576, 1152, 2304, 4608, 9216, 18432, 36864, 73728, 147456, 786438, 10, 17,
909 131075, 262150, 294912, 524300, 655365, 12, 33, 131077, 262154, 393219, 524308, 589824, 589829, 20, 34, 65,
910 131081, 262162, 299522, 524324, 589830, 24, 66, 129, 131089, 262178, 294915, 524356, 851974, 40, 68, 130,
911 257, 131105, 262210, 524420, 589836, 720901, 819206, 48, 132, 258, 513, 131137, 262274, 294918, 524548,
912 589844, 80, 136, 260, 514, 1025, 131201, 147459, 149761, 262402, 294922, 425987, 524804, 589860, 671749, 96,
913 264, 516, 1026, 2049, 131329, 147461, 262658, 294930, 409603, 525316, 589892, 160, 272, 520, 1028, 2050,
914 4097, 131585, 147465, 149504, 263170, 294946, 299008, 526340, 589956, 598016, 598021, 884742, 192, 528, 1032,
915 2052, 4098, 8193, 74752, 132097, 147473, 264194, 294978, 528388, 590084, 598022, 320, 544, 1040, 2056, 4100,
916 8194, 16385, 37376, 133121, 147489, 266242, 295042, 532484, 590340, 737285, 860166, 384, 1056, 2064, 4104,
917 8196, 16386, 18688, 32769, 135169, 147521, 270338, 295170, 299011, 540676, 590852, 598028, 599172, 729093,
918 640, 1088, 2080, 4112, 8200, 9344, 16388, 32770, 65537, 139265, 147585, 278530, 295426, 442371, 557060,
919 591876, 598036, 823302, 768, 2112, 4128, 4672, 8208, 16392, 32772, 65538, 147713, 295938, 299014, 593924,
920 598052, 1280, 2176, 2336, 4160, 8224, 16400, 32776, 65540, 131074, 147969, 163841, 296962, 299018, 327682,
921 430083, 598084, 655364, 1168, 1536, 4224, 8256, 16416, 32784, 65544, 131076, 148481, 149507, 196609, 262145,
922 299026, 393218, 598148, 606212, 673797, 892934, 584, 2560, 4352, 8320, 16448, 32800, 65552, 131080, 149509,
923 299042, 299586, 303106, 411651, 598276, 622596, 786436, 888838, 292, 3072, 8448, 16512, 32832, 65568, 131088,
924 149513, 151553, 262148, 262160, 299074, 311298, 524289, 598532, 745477, 146, 5120, 8704, 16640, 32896, 65600,
925 131104, 149521, 155649, 262152, 299138, 393217, 524290, 524295, 524320, 599040, 599045, 720900, 7, 19, 37,
926 73, 145, 289, 577, 1153, 2305, 4609, 6144, 9217, 16896, 18433, 33024, 36865, 65664, 73729, 131136, 149537,
927 299266, 299520, 360450, 599046, 600068, 739333, 786434, 786439, 11, 38, 74, 290, 578, 1154, 2306, 4610, 9218,
928 10240, 17408, 18434, 33280, 36866, 65792, 73730, 131200, 147458, 149569, 149760, 180225, 262151, 262176,
929 294913, 425986, 446467, 524296, 524301, 524310, 524364, 524436, 524580, 524868, 525444, 526596, 528900,
930 533508, 542724, 561156, 602116, 655361, 671748, 851972, 861190, 13, 22, 76, 148, 580, 1156, 2308, 4612, 9220,
931 12288, 18436, 33792, 36868, 66048, 73732, 131328, 147460, 149633, 149793, 212993, 262155, 262182, 262208,
932 262218, 262290, 262434, 262722, 263298, 264450, 266754, 271362, 280578, 300034, 335874, 409602, 444419,
933 524302, 524304, 524309, 589825, 599052, 655367, 730117, 819204, 14, 21, 26, 35, 44, 152, 296, 1160, 2312,
934 4616, 9224, 18440, 20480, 34816, 36872, 66560, 73736, 74880, 131079, 131091, 131109, 131145, 131217, 131361,
935 131584, 131649, 132225, 133377, 135681, 140289, 147464, 167937, 204801, 262163, 262272, 294916, 294928,
936 299523, 301058, 524325, 589826, 589831, 589856, 599060, 614404, 786446, 917511, 25, 52, 67, 88, 304, 592,
937 2320, 4624, 9232, 18448, 24576, 36880, 67584, 73744, 131083, 132096, 147472, 150017, 262158, 262179, 262400,
938 294920, 393223, 425985, 524326, 524352, 524357, 599076, 630788, 655373, 786454, 823814, 851970, 851975,
939 897030, 41, 50, 69, 104, 131, 176, 608, 1184, 4640, 9248, 18464, 36896, 37440, 40960, 69632, 73760, 131085,
940 133120, 147488, 150529, 262166, 262211, 262656, 299526, 307202, 393227, 409601, 524316, 524358, 524416,
941 524421, 589832, 589837, 589846, 589900, 589972, 590116, 590404, 590980, 592132, 594436, 599108, 608260,
942 626692, 655381, 720897, 737284, 786470, 819202, 819207, 28, 42, 49, 70, 82, 100, 133, 208, 259, 352, 1216,
943 2368, 9280, 18496, 36928, 49152, 73792, 131093, 131107, 135168, 147520, 262170, 262275, 263168, 294919,
944 294944, 299530, 315394, 393235, 430595, 524332, 524422, 524544, 524549, 589838, 589840, 589845, 655397,
945 720903, 729092, 786502, 884740, 893958, 81, 134, 137, 164, 200, 261, 416, 515, 704, 2432, 4736, 18560, 18720,
946 36992, 73856, 81920, 131097, 131139, 139264, 147584, 153601, 262186, 262214, 262403, 264192, 294923, 294950,
947 294976, 294986, 295058, 295202, 295490, 296066, 297218, 299538, 304130, 313346, 368642, 393251, 442370,
948 524340, 524550, 524800, 524805, 589861, 599300, 655429, 671745, 747525, 786566, 851982, 983047, 97, 138, 262,
949 265, 274, 328, 400, 517, 832, 1027, 1408, 4864, 9472, 37120, 73984, 98304, 131113, 131141, 131203, 147712,
950 149763, 157697, 262194, 262278, 262659, 266240, 294931, 295040, 299554, 364546, 393283, 524372, 524428,
951 524806, 525312, 525317, 589862, 589888, 589893, 599188, 599556, 655493, 671751, 674053, 720909, 746501,
952 786694, 819214, 851990, 860164, 889350, 950279, 56, 84, 98, 140, 161, 266, 273, 518, 521, 530, 548, 656, 800,
953 1029, 1664, 2051, 2816, 9360, 9728, 18944, 74240, 131121, 131205, 131331, 147463, 147475, 147493, 147529,
954 147601, 147745, 147968, 148033, 148609, 149765, 152065, 156673, 163840, 184321, 221185, 262226, 262282,
955 262406, 263171, 270336, 294926, 294947, 295168, 299009, 393347, 411907, 425991, 430082, 524388, 524556,
956 525318, 526336, 526341, 589852, 589894, 589952, 589957, 598017, 655621, 720917, 786950, 819222, 852006,
957 884738, 884743, 933895, 162, 193, 268, 522, 529, 1030, 1033, 1042, 1060, 1096, 1312, 1600, 2053, 3328, 4099,
958 5632, 19456, 37888, 74753, 131153, 131209, 131333, 131587, 147467, 148480, 149506, 149769, 182273, 196608,
959 262242, 262410, 262662, 264195, 278528, 294934, 294979, 295424, 299650, 393475, 409607, 425995, 442369,
960 448515, 524452, 524564, 524812, 526342, 528384, 528389, 589868, 589958, 590080, 590085, 598018, 598023,
961 598048, 601092, 655877, 671757, 673796, 720933, 787462, 819238, 823300, 852038, 194, 276, 321, 524, 545,
962 1034, 1041, 2054, 2057, 2066, 2084, 2120, 2192, 2624, 3200, 4101, 4680, 6656, 8195, 11264, 37377, 38912,
963 74754, 75776, 131169, 131337, 131589, 132099, 147469, 149508, 149777, 215041, 262306, 262418, 262666, 263174,
964 266243, 294938, 295043, 295936, 299012, 299024, 299778, 393731, 409611, 411650, 426003, 524484, 524820,
965 525324, 528390, 532480, 532485, 589876, 590086, 590336, 590341, 603140, 656389, 671765, 720965, 737281,
966 788486, 819270, 852102, 860162, 860167, 112, 168, 196, 280, 322, 385, 532, 546, 1036, 1057, 2058, 2065, 4102,
967 4105, 4114, 4132, 4168, 4240, 4384, 5248, 6400, 8197, 13312, 16387, 18689, 22528, 37378, 74756, 77824,
968 131233, 131345, 131593, 132101, 133123, 147477, 147491, 149512, 151552, 262338, 262674, 263178, 264198,
969 270339, 294954, 294982, 295171, 296960, 299016, 327680, 336898, 394243, 409619, 426019, 430081, 446979,
970 524612, 524836, 525332, 526348, 532486, 540672, 540677, 561668, 589908, 589964, 590342, 590848, 590853,
971 598024, 598029, 598038, 598092, 598164, 598308, 598596, 599168, 599173, 600324, 602628, 616452, 634884,
972 657413, 671781, 721029, 729089, 737287, 739589, 745476, 790534, 819334, 852230, 884750, 1015815, 386, 1089,
973 4106, 8228, 8264, 8336, 10496, 131601, 147481, 147523, 149825, 155648, 262466, 263186, 295046, 300546,
974 393216, 426051, 590092, 599174, 615428, 729095, 823303 };
976 static int cbest_21[1023] = {
977 1, 2, 1048578, 4, 524289, 8, 16, 1310722, 32, 64, 655361, 128, 256, 512, 1376258, 1024, 2048, 4096, 688129,
978 8192, 16384, 32768, 65536, 1392642, 131072, 262144, 524288, 696321, 1048576, 3, 1048579, 5, 10, 20, 40, 80,
979 160, 320, 640, 1280, 2560, 5120, 10240, 20480, 40960, 81920, 163840, 327680, 655360, 6, 9, 524291, 1048582,
980 1310720, 1572867, 17, 524293, 1048586, 1310723, 1396738, 12, 18, 33, 524297, 1048594, 34, 65, 524305,
981 1048610, 1310726, 1835011, 24, 36, 66, 129, 524321, 655363, 1048642, 1310730, 1703939, 68, 130, 257, 524353,
982 655365, 688128, 1048706, 1310738, 1376256, 48, 72, 132, 258, 513, 344064, 524417, 655369, 698369, 1048834,
983 1310754, 1376259, 136, 260, 514, 1025, 172032, 524545, 655377, 1049090, 1310786, 1966083, 96, 144, 264, 516,
984 1026, 2049, 86016, 524801, 655393, 1049602, 1310850, 1376262, 1900547, 272, 520, 1028, 2050, 4097, 43008,
985 525313, 655425, 1050626, 1310978, 1376266, 192, 288, 528, 1032, 2052, 4098, 8193, 21504, 526337, 655489,
986 688131, 1052674, 1311234, 1376274, 1736707, 544, 1040, 2056, 4100, 8194, 10752, 16385, 528385, 655617,
987 688133, 1056770, 1311746, 1376290, 384, 576, 1056, 2064, 4104, 5376, 8196, 16386, 32769, 532481, 655873,
988 688137, 1064962, 1312770, 1376322, 1392640, 1397762, 2031619, 1088, 2080, 2688, 4112, 8200, 16388, 32770,
989 65537, 540673, 656385, 688145, 696320, 1081346, 1314818, 1376386, 1392643, 1998851, 768, 1152, 1344, 2112,
990 4128, 8208, 16392, 32772, 65538, 131073, 557057, 657409, 688161, 1114114, 1318914, 1376514, 672, 2176, 4160,
991 8224, 16400, 32776, 65540, 131074, 262145, 348160, 589825, 659457, 688193, 1179650, 1327106, 1376770,
992 1392646, 1916931, 336, 1536, 2304, 4224, 8256, 16416, 32784, 65544, 131076, 262146, 663553, 688257, 1343490,
993 1377282, 1392650, 168, 4352, 8320, 16448, 32800, 65552, 131080, 174080, 262148, 524290, 671745, 688385,
994 786433, 1378306, 1392658, 1572866, 84, 3072, 4608, 8448, 16512, 32832, 65568, 131088, 262152, 524292, 688641,
995 696323, 698881, 1048577, 1380354, 1392674, 1441794, 1744899, 2064387, 42, 8704, 16640, 32896, 65600, 87040,
996 131104, 262160, 524296, 689153, 696325, 720897, 1048584, 1384450, 1392706, 2048003, 11, 21, 41, 81, 161, 321,
997 641, 1281, 2561, 5121, 6144, 9216, 10241, 16896, 20481, 33024, 40961, 65664, 81921, 131136, 163841, 262176,
998 327681, 524304, 690177, 696329, 1048580, 1392770, 1572865, 1835010, 7, 22, 82, 162, 322, 642, 1282, 2562,
999 5122, 10242, 17408, 20482, 33280, 40962, 43520, 65792, 81922, 131200, 163842, 262208, 327682, 524320, 655362,
1000 692225, 696337, 917505, 1048583, 1048598, 1048618, 1048658, 1048738, 1048898, 1049218, 1049858, 1051138,
1001 1053698, 1058818, 1069058, 1089538, 1130498, 1212418, 1310721, 1392898, 1396736, 1409026, 1703938, 2007043,
1002 14, 44, 164, 324, 644, 1284, 2564, 5124, 10244, 12288, 18432, 20484, 33792, 40964, 66048, 81924, 131328,
1003 163844, 262272, 327684, 524299, 524309, 524329, 524352, 524369, 524449, 524609, 524929, 525569, 526849,
1004 529409, 534529, 544769, 565249, 606209, 655364, 696353, 851969, 1048587, 1048592, 1310728, 1393154, 1396739,
1005 13, 19, 28, 88, 328, 648, 1288, 2568, 5128, 10248, 20488, 21760, 34816, 40968, 66560, 81928, 131584, 163848,
1006 262400, 327688, 524295, 524416, 655368, 696385, 698368, 704513, 1048595, 1048608, 1310724, 1393666, 1507330,
1007 1572871, 1835009, 26, 35, 56, 176, 656, 1296, 2576, 5136, 10256, 20496, 24576, 36864, 40976, 67584, 81936,
1008 132096, 163856, 262656, 327696, 524544, 655376, 696449, 1048590, 1048611, 1048640, 1310727, 1310742, 1310762,
1009 1310802, 1310882, 1311042, 1311362, 1312002, 1313282, 1315842, 1320962, 1331202, 1351682, 1394690, 1396742,
1010 1474562, 1572875, 1703937, 1921027, 1966082, 25, 37, 52, 67, 112, 352, 1312, 2592, 5152, 10272, 10880, 20512,
1011 40992, 69632, 81952, 133120, 163872, 263168, 327712, 524301, 524307, 524800, 655392, 696577, 753665, 1048643,
1012 1048704, 1310731, 1310736, 1396746, 1398018, 1572883, 1900546, 2080771, 38, 69, 74, 104, 131, 224, 704, 2624,
1013 5184, 10304, 20544, 41024, 49152, 73728, 81984, 135168, 163904, 264192, 327744, 349184, 524323, 525312,
1014 655371, 655381, 655401, 655424, 655441, 655521, 655681, 656001, 656641, 657921, 660481, 665601, 675841,
1015 696833, 737281, 983041, 1048602, 1048614, 1048707, 1048832, 1310739, 1310752, 1376257, 1396754, 1400834,
1016 1572899, 1835015, 2072579, 49, 70, 73, 133, 138, 148, 208, 259, 448, 1408, 5248, 5440, 10368, 20608, 41088,
1017 82048, 139264, 163968, 266240, 327808, 344065, 524313, 524325, 524355, 526336, 655367, 655488, 688130,
1018 697345, 950273, 1048646, 1048835, 1049088, 1310734, 1310755, 1310784, 1376264, 1396770, 1572931, 1703943,
1019 1736706, 1835019, 1966081, 50, 134, 137, 261, 266, 276, 296, 416, 515, 896, 2816, 10496, 20736, 41216, 82176,
1020 98304, 147456, 164096, 172033, 270336, 327936, 344066, 524357, 524419, 528384, 655616, 688132, 698371,
1021 1048626, 1048650, 1048710, 1049091, 1049600, 1310787, 1310848, 1376260, 1396802, 1425410, 1572995, 1703947,
1022 1746947, 1835027, 1900545, 2052099, 76, 97, 145, 262, 265, 517, 522, 532, 552, 592, 832, 1027, 1792, 2720,
1023 5632, 20992, 41472, 82432, 86017, 164352, 172034, 174592, 278528, 328192, 344068, 524337, 524361, 524421,
1024 524547, 532480, 655373, 655379, 655872, 688136, 698373, 700417, 868353, 1048714, 1048838, 1049603, 1050624,
1025 1220610, 1310746, 1310758, 1310851, 1310976, 1376263, 1376278, 1376298, 1376338, 1376418, 1376578, 1376898,
1026 1377538, 1378818, 1381378, 1386498, 1396866, 1417218, 1540098, 1573123, 1703955, 1835043, 2031618, 98, 140,
1027 146, 273, 518, 521, 1029, 1034, 1044, 1064, 1104, 1184, 1664, 2051, 3584, 11264, 41984, 43009, 82944, 86018,
1028 164864, 172036, 196608, 294912, 328704, 344072, 524425, 524549, 524803, 540672, 655395, 656384, 688144,
1029 698377, 1048674, 1048722, 1048842, 1049094, 1050627, 1052672, 1134594, 1310790, 1310979, 1311232, 1376267,
1030 1376272, 1396994, 1523714, 1573379, 1703971, 1736705, 1835075, 1966087, 1998850, 100, 193, 268, 274, 289,
1031 529, 1030, 1033, 1360, 2053, 2058, 2068, 2088, 2128, 2208, 2368, 3328, 4099, 7168, 21505, 22528, 43010,
1032 83968, 86020, 165888, 172040, 329728, 344080, 524385, 524433, 524553, 524805, 525315, 557056, 610305, 655385,
1033 655397, 655427, 657408, 688160, 698385, 712705, 1048850, 1049098, 1049606, 1052675, 1056768, 1091586,
1034 1310770, 1310794, 1310854, 1311235, 1311744, 1376275, 1376288, 1397250, 1573891, 1704003, 1835139, 1900551,
1035 1966091, 2009091, 152, 194, 290, 524, 530, 545, 1041, 2054, 2057, 4101, 4106, 4116, 4136, 4176, 4256, 4416,
1036 4736, 6656, 8195, 10753, 14336, 21506, 43012, 45056, 86024, 87296, 167936, 172048, 331776, 344096, 393216,
1037 524561, 524809, 525317, 526339, 567297, 589824, 655429, 655491, 659456, 688139, 688149, 688169, 688192,
1038 688209, 688289, 688449, 688769, 689409, 690689, 693249, 698401, 699009, 708609, 770049, 1015809, 1048770,
1039 1048866, 1049106, 1049610, 1050630, 1056771, 1064960, 1070082, 1310858, 1310982, 1311747, 1312768, 1376270,
1040 1376291, 1376320, 1397760, 1482754, 1574915, 1704067, 1835267, 1900555, 1916930, 1966099, 2031617, 196, 280,
1041 292, 385, 546, 577, 680, 1036, 1042, 1057, 2065, 4102, 4105, 5377, 8197, 8202, 8212, 8232, 8272, 8352, 8512,
1042 8832, 9472, 10754, 13312, 16387, 21508, 28672, 43016, 86032, 90112, 172064, 335872, 344128, 524481, 524577,
1043 524817, 525321, 526341, 528387, 545793, 655409, 655433, 655493, 655619, 663552, 688135, 688256, 698433,
1044 761857, 999425, 1049122, 1049618, 1050634, 1052678, 1059330, 1064963, 1081344, 1310818, 1310866, 1310986,
1045 1311238, 1312771, 1314816, 1376323, 1376384, 1392641, 1397763, 1398786, 1576963, 1704195, 1736711, 1835523,
1046 1900563, 1966115, 1998849, 2088963, 200, 386, 548, 1058, 16394, 16424, 16544, 17664, 18944, 57344, 180224,
1047 535041, 671744, 698497, 1052682, 1056774, 1353730, 1392648, 1836035 };
1049 static int cbest_22[1023] = {
1050 1, 2, 2097153, 4, 8, 3145729, 16, 32, 64, 3670017, 128, 256, 512, 1024, 3932161, 2048, 4096, 8192, 16384,
1051 32768, 4063233, 65536, 131072, 262144, 524288, 1048576, 2097152, 4128769, 3, 6, 12, 24, 48, 96, 192, 384,
1052 768, 1536, 3072, 6144, 12288, 24576, 49152, 98304, 196608, 393216, 786432, 1572864, 3145728, 5, 2097155, 9,
1053 2097157, 10, 17, 2097161, 3145731, 3670016, 18, 33, 1835008, 2097169, 3145733, 20, 34, 65, 917504, 2097185,
1054 3145737, 4161537, 36, 66, 129, 458752, 2097217, 3145745, 3670019, 40, 68, 130, 257, 229376, 2097281, 3145761,
1055 3670021, 3932160, 72, 132, 258, 513, 114688, 2097409, 3145793, 3670025, 80, 136, 260, 514, 1025, 57344,
1056 1966080, 2097665, 3145857, 3670033, 144, 264, 516, 1026, 2049, 28672, 2098177, 3145985, 3670049, 3932163,
1057 160, 272, 520, 1028, 2050, 4097, 14336, 983040, 2099201, 3146241, 3670081, 3932165, 288, 528, 1032, 2052,
1058 4098, 7168, 8193, 2101249, 3146753, 3670145, 3932169, 4063232, 320, 544, 1040, 2056, 3584, 4100, 8194, 16385,
1059 491520, 2105345, 3147777, 3670273, 3932177, 4177921, 576, 1056, 1792, 2064, 4104, 8196, 16386, 32769,
1060 2113537, 3149825, 3670529, 3932193, 640, 896, 1088, 2080, 4112, 8200, 16388, 32770, 65537, 245760, 2031616,
1061 2129921, 3153921, 3671041, 3932225, 4063235, 448, 1152, 2112, 4128, 8208, 16392, 32772, 65538, 131073,
1062 2162689, 3162113, 3672065, 3932289, 4063237, 224, 1280, 2176, 4160, 8224, 16400, 32776, 65540, 122880,
1063 131074, 262145, 2228225, 3178497, 3674113, 3932417, 4063241, 112, 2304, 4224, 8256, 16416, 32784, 65544,
1064 131076, 262146, 524289, 1015808, 2359297, 3211265, 3678209, 3932673, 4063249, 4128768, 56, 2560, 4352, 8320,
1065 16448, 32800, 61440, 65552, 131080, 262148, 524290, 1048577, 2621441, 3276801, 3686401, 3933185, 4063265, 28,
1066 4608, 8448, 16512, 32832, 65568, 131088, 262152, 524292, 1048578, 3407873, 3702785, 3934209, 4063297, 14,
1067 5120, 8704, 16640, 30720, 32896, 65600, 131104, 262160, 507904, 524296, 1048580, 2097154, 3735553, 3936257,
1068 4063361, 4128771, 7, 13, 25, 49, 97, 193, 385, 769, 1537, 3073, 6145, 9216, 12289, 16896, 24577, 33024,
1069 49153, 65664, 98305, 131136, 196609, 262176, 393217, 524304, 786433, 1048584, 1572865, 2064384, 2097156,
1070 3801089, 3940353, 4063489, 4128773, 4186113, 26, 50, 98, 194, 386, 770, 1538, 3074, 6146, 10240, 12290,
1071 15360, 17408, 24578, 33280, 49154, 65792, 98306, 131200, 196610, 262208, 393218, 524320, 786434, 1048592,
1072 1572866, 2097159, 2097160, 2097165, 2097177, 2097201, 2097249, 2097345, 2097537, 2097921, 2098689, 2100225,
1073 2103297, 2109441, 2121729, 2146305, 2195457, 2293761, 2490369, 2883585, 3145730, 3948545, 4063745, 4128777,
1074 52, 100, 196, 388, 772, 1540, 3076, 6148, 12292, 18432, 24580, 33792, 49156, 66048, 98308, 131328, 196612,
1075 253952, 262272, 393220, 524352, 786436, 1048608, 1572868, 2097168, 3145732, 3964929, 4064257, 4128785, 11,
1076 104, 200, 392, 776, 1544, 3080, 6152, 7680, 12296, 20480, 24584, 34816, 49160, 66560, 98312, 131584, 196616,
1077 262400, 393224, 524416, 786440, 1048640, 1572872, 2097184, 3145735, 3145736, 3145741, 3145753, 3145777,
1078 3145825, 3145921, 3146113, 3146497, 3147265, 3148801, 3151873, 3158017, 3170305, 3194881, 3244033, 3342337,
1079 3538945, 3997697, 4065281, 4128801, 4161536, 19, 22, 208, 400, 784, 1552, 3088, 6160, 12304, 24592, 36864,
1080 49168, 67584, 98320, 132096, 196624, 262656, 393232, 524544, 786448, 1032192, 1048704, 1572880, 1835009,
1081 2097163, 2097216, 3145744, 3670018, 4067329, 4128833, 21, 35, 38, 44, 416, 800, 1568, 3104, 3840, 6176,
1082 12320, 24608, 40960, 49184, 69632, 98336, 126976, 133120, 196640, 263168, 393248, 524800, 786464, 917505,
1083 1048832, 1572896, 1835010, 2097171, 2097280, 3145760, 3670020, 4071425, 4128897, 37, 67, 70, 76, 88, 832,
1084 1600, 3136, 6208, 12352, 24640, 49216, 73728, 98368, 135168, 196672, 264192, 393280, 458753, 525312, 786496,
1085 917506, 1049088, 1572928, 1835012, 2097173, 2097187, 2097408, 3014657, 3145739, 3145792, 3670023, 3670024,
1086 3670029, 3670041, 3670065, 3670113, 3670209, 3670401, 3670785, 3671553, 3673089, 3676161, 3682305, 3694593,
1087 3719169, 3768321, 3866625, 4079617, 4129025, 4161539, 41, 69, 131, 134, 140, 152, 176, 1664, 1920, 3200,
1088 6272, 12416, 24704, 49280, 81920, 98432, 139264, 196736, 229377, 266240, 393344, 458754, 526336, 786560,
1089 917508, 1049600, 1572992, 1835016, 2097189, 2097219, 2097664, 2555905, 3145747, 3145856, 3670032, 4096001,
1090 4129281, 4161541, 42, 73, 133, 259, 262, 268, 280, 304, 352, 3328, 6400, 12544, 24832, 49408, 63488, 98560,
1091 114689, 147456, 196864, 229378, 270336, 393472, 458756, 516096, 528384, 786688, 917512, 1050624, 1573120,
1092 1835024, 2080768, 2097193, 2097221, 2097283, 2098176, 2326529, 3145749, 3145763, 3145984, 3670048, 3932162,
1093 4129793, 4161545, 74, 81, 137, 261, 515, 518, 524, 536, 560, 608, 704, 960, 6656, 12800, 25088, 49664, 57345,
1094 98816, 114690, 163840, 197120, 229380, 278528, 393728, 458760, 532480, 786944, 917520, 1052672, 1573376,
1095 1835040, 1966081, 2097225, 2097285, 2097411, 2099200, 2211841, 3145765, 3145795, 3146240, 3604481, 3670027,
1096 3670080, 3932164, 4130817, 4161553, 82, 138, 145, 265, 517, 1027, 1030, 1036, 1048, 1072, 1120, 1216, 1408,
1097 13312, 25600, 28673, 50176, 57346, 99328, 114692, 197632, 229384, 294912, 394240, 458768, 540672, 787456,
1098 917536, 1056768, 1573888, 1835072, 1966082, 2097233, 2097289, 2097413, 2097667, 2101248, 2154497, 3145769,
1099 3145797, 3145859, 3146752, 3375105, 3670035, 3670144, 3932167, 3932168, 3932173, 3932185, 3932209, 3932257,
1100 3932353, 3932545, 3932929, 3933697, 3935233, 3938305, 3944449, 3956737, 3981313, 4030465, 4132865, 4161569,
1101 4190209, 84, 146, 161, 266, 273, 480, 521, 1029, 2051, 2054, 2060, 2072, 2096, 2144, 2240, 2432, 2816, 14337,
1102 26624, 28674, 31744, 51200, 57348, 100352, 114696, 198656, 229392, 327680, 395264, 458784, 557056, 788480,
1103 917568, 983041, 1064960, 1574912, 1835136, 1966084, 2097297, 2097417, 2097669, 2098179, 2105344, 2125825,
1104 3145801, 3145861, 3145987, 3147776, 3260417, 3670037, 3670051, 3670272, 3932176, 4136961, 4161601, 4177920,
1105 148, 162, 274, 289, 522, 529, 1033, 2053, 4099, 4102, 4108, 4120, 4144, 4192, 4288, 4480, 4864, 5632, 7169,
1106 14338, 28676, 53248, 57352, 102400, 114704, 200704, 229408, 258048, 397312, 458816, 589824, 790528, 917632,
1107 983042, 1081344, 1576960, 1835264, 1966088, 2097313, 2097425, 2097673, 2098181, 2099203, 2111489, 2113536,
1108 3080193, 3145809, 3145865, 3145989, 3146243, 3149824, 3203073, 3670053, 3670083, 3670528, 3932192, 4145153,
1109 4161665, 164, 240, 276, 290, 321, 530, 545, 1034, 1041, 2057, 3585, 4101, 7170, 8195, 8198, 8204, 8216, 8240,
1110 8288, 8384, 8576, 8960, 9728, 11264, 14340, 28680, 57360, 106496, 114720, 204800, 229440, 401408, 458880,
1111 491521, 655360, 794624, 917760, 983044, 1040384, 1114112, 1581056, 1835520, 1966096, 2097441, 2097681,
1112 2098185, 2099205, 2101251, 2104321, 2129920, 3145873, 3145993, 3146245, 3146755, 3153920, 3174401, 3670057,
1113 3670085, 3670147, 3671040, 3899393, 3932171, 3932224, 4063234, 4161793, 168, 292, 322, 532, 546, 577, 1042,
1114 1057, 1793, 2058, 2065, 3586, 4105, 7172, 8197, 14344, 15872, 16387, 16390, 16396, 16408, 16432, 16480,
1115 16576, 16768, 17152, 17920, 19456, 22528, 28688, 57376, 114752, 212992, 229504, 409600, 459008, 491522,
1116 802816, 918016, 983048, 1179648, 1589248, 1836032, 1966112, 2097473, 2097697, 2098193, 2099209, 2100737,
1117 2101253, 2105347, 2162688, 2588673, 3145889, 3146001, 3146249, 3146757, 3147779, 3160065, 3162112, 3670089,
1118 3670149, 3670275, 3672064, 3784705, 3932179, 3932288, 4063236, 4162049, 4177923, 120, 296, 897, 1058, 1089,
1119 2081, 4106, 4113, 8201, 32774, 32780, 33536, 34304, 45056, 491524, 983056, 1605632, 1966144, 2031617,
1120 2098209, 2098945, 2099217, 2228224, 3146257, 3146761, 3178496, 3670153, 3670277, 3670531, 3932181, 3932416,
1121 4063329, 4063425, 4069377, 4075521 };
1123 static int cbest_23[1023] = {
1124 1, 2, 4194320, 4, 2097160, 8, 1048580, 16, 524290, 32, 262145, 64, 128, 4325392, 256, 512, 2162696, 1024,
1125 2048, 1081348, 4096, 8192, 540674, 16384, 32768, 270337, 65536, 131072, 262144, 4329488, 524288, 2164744,
1126 1048576, 3, 1082372, 2097152, 4194321, 5, 2097161, 4194322, 6, 9, 1048581, 2097162, 4194304, 4194324,
1127 6291480, 10, 17, 524291, 541186, 1048582, 2097164, 4194328, 5242900, 12, 18, 33, 66, 132, 264, 528, 1056,
1128 2112, 4224, 8448, 16896, 33792, 67584, 135168, 270336, 3145740, 4718610, 20, 34, 65, 262147, 524294, 540672,
1129 1048588, 2097176, 2621450, 4194352, 4456465, 24, 36, 129, 262149, 270593, 524298, 1048596, 1081344, 1572870,
1130 2097192, 2359305, 4194384, 4325393, 40, 68, 130, 257, 262153, 524306, 1048612, 1310725, 2097224, 2162688,
1131 4194448, 4325394, 48, 72, 258, 513, 262161, 524322, 786435, 1048644, 2097288, 2162697, 4194576, 4325376,
1132 4325396, 6422552, 80, 136, 260, 514, 1025, 262177, 524354, 1048708, 2097416, 2162698, 4194832, 4325400,
1133 5373972, 6357016, 96, 144, 516, 1026, 2049, 262209, 524418, 1048836, 1081349, 2097672, 2162700, 4195344,
1134 4329616, 4849682, 160, 272, 520, 1028, 2050, 4097, 262273, 524546, 1049092, 1081350, 2098184, 3211276,
1135 4196368, 4325424, 4587537, 5275668, 192, 288, 1032, 2052, 4098, 8193, 262401, 524802, 540675, 1049604,
1136 2099208, 2162712, 2686986, 3178508, 4198416, 4325456, 320, 544, 1040, 2056, 4100, 8194, 16385, 262657,
1137 525314, 1050628, 1081356, 2101256, 2162728, 2424841, 4202512, 4325520, 4734994, 384, 576, 2064, 4104, 8196,
1138 16386, 32769, 263169, 526338, 540678, 1052676, 1081364, 1605638, 2105352, 2162760, 2164808, 2637834, 4210704,
1139 4325648, 640, 1088, 2080, 4112, 8200, 16388, 32770, 65537, 264193, 270339, 528386, 540682, 1056772, 1081380,
1140 1343493, 1589254, 2113544, 2162824, 4227088, 4325904, 4464657, 6488088, 768, 1152, 4128, 8208, 16392, 32772,
1141 65538, 131073, 266241, 270341, 532482, 540690, 1064964, 1081412, 2129928, 2162952, 2367497, 4259856, 4326416,
1142 1280, 2176, 4160, 8224, 16400, 32776, 65540, 131074, 270345, 540706, 802819, 1081476, 1318917, 2163208,
1143 4327440, 4329489, 5406740, 1536, 2304, 8256, 16416, 32784, 65544, 131076, 262146, 270353, 278529, 540738,
1144 557058, 794627, 1081604, 1082404, 1114116, 2163720, 2228232, 4329490, 4456464, 2560, 4352, 8320, 16448,
1145 32800, 65552, 131080, 262148, 270369, 270592, 294913, 524289, 540802, 541184, 589826, 1081860, 1082368,
1146 1179652, 2164736, 2359304, 3244044, 4329472, 4329492, 4333584, 4866066, 6426648, 3072, 4608, 16512, 32832,
1147 65568, 131088, 135296, 262152, 270401, 327681, 540930, 655362, 1310724, 2164745, 2166792, 4329496, 4341776,
1148 4718608, 5378068, 5120, 8704, 16640, 32896, 65600, 67648, 131104, 262160, 270465, 393217, 524292, 786434,
1149 1048577, 1083396, 2164746, 2170888, 2621448, 2703370, 4358160, 4595729, 4853778, 6359064, 6144, 9216, 33024,
1150 33824, 65664, 131136, 262176, 524296, 541202, 541698, 1048578, 1085444, 1572868, 2164748, 2179080, 4329520,
1151 4390928, 4591633, 5242896, 10240, 16912, 17408, 33280, 65792, 131200, 262208, 270849, 524304, 524352, 542722,
1152 1082373, 1089540, 1622022, 2097153, 2195464, 2433033, 3145736, 3213324, 4329552, 8456, 12288, 18432, 66048,
1153 131328, 262272, 271361, 524320, 544770, 786433, 1048584, 1048704, 1082374, 1097732, 2097154, 2164760,
1154 2689034, 4194323, 4587536, 5276692, 6291472, 7, 4228, 20480, 34816, 66560, 131584, 262400, 272385, 548866,
1155 1048592, 1351685, 1572866, 2097156, 2097163, 2097408, 2164776, 2293768, 2426889, 3179532, 4194305, 4194325,
1156 4329744, 6291481, 11, 2114, 24576, 36864, 132096, 262656, 270601, 274433, 524416, 541187, 1048583, 1048608,
1157 1082380, 1146884, 1310721, 2097165, 2424840, 3145732, 4194306, 4194326, 4194329, 4194816, 4330000, 4849680,
1158 5242901, 6291482, 6492184, 13, 19, 67, 133, 265, 529, 1057, 2113, 4225, 8449, 16897, 33793, 40960, 67585,
1159 69632, 133120, 135169, 263168, 524544, 573442, 811011, 1048640, 1082388, 1212420, 1606662, 2097166, 2097168,
1160 2164872, 2621442, 3145741, 4194308, 4194330, 4330512, 4718611, 4735506, 5242902, 6291464, 6291484, 6490136,
1161 14, 21, 35, 134, 266, 530, 1058, 4226, 8450, 16898, 33794, 49152, 67586, 73728, 135170, 264192, 270338,
1162 286721, 524295, 524800, 540673, 541190, 606210, 1048589, 1343492, 1344517, 2097177, 2097184, 2165000,
1163 2359297, 2621451, 2638346, 2686984, 3145742, 4194312, 4194332, 4194353, 4194386, 4194452, 4194584, 4195376,
1164 4196432, 4198544, 4202768, 4211216, 4228112, 4261904, 4331536, 4464656, 5242884, 5373968, 5410836, 7340060,
1165 22, 25, 37, 70, 268, 532, 1060, 2116, 8452, 16900, 33796, 67588, 81920, 135172, 139264, 266240, 270340,
1166 303105, 524299, 525312, 541194, 671746, 1048590, 1048597, 1048832, 1081345, 1082436, 1572871, 1589766,
1167 2097178, 2097193, 2097216, 2097226, 2097292, 2097688, 2098216, 2099272, 2101384, 2105608, 2114056, 2130952,
1168 2165256, 2232328, 2367496, 4194354, 4194385, 4456467, 4718594, 4718614, 4734992, 5242908, 6815770, 26, 38,
1169 41, 69, 74, 131, 140, 536, 1064, 2120, 4232, 16904, 33800, 67592, 98304, 135176, 147456, 262151, 270344,
1170 270595, 335873, 524307, 526336, 540676, 802818, 1048598, 1048613, 1048646, 1048844, 1049088, 1049108,
1171 1049636, 1050692, 1052804, 1057028, 1065476, 1081346, 1082500, 1116164, 1183748, 1318916, 1605636, 2097180,
1172 2097194, 2097225, 2097280, 2162689, 2165768, 2359307, 2621454, 2637832, 3211272, 4194336, 4194356, 4194449,
1173 4325395, 4337680, 4456449, 4456469, 4464913, 4718618, 4870162, 5275664, 5407764, 5767190, 6291512, 6422544,
1174 6553625, 28, 42, 49, 73, 82, 148, 259, 280, 1072, 2128, 4240, 8464, 33808, 67600, 135184, 163840, 262155,
1175 270352, 270597, 278528, 401409, 524302, 524323, 524422, 524554, 524818, 525346, 526402, 528384, 528514,
1176 532738, 540680, 541218, 558082, 591874, 659458, 794626, 803331, 1048614, 1048645, 1049600, 1082628, 1310727,
1177 1589252, 2097196, 2097289, 2162690, 2359309, 2367753, 3145756, 3178504, 3246092, 3670030, 4194360, 4194368,
1178 4194388, 4194450, 4194577, 4325377, 4325397, 4329620, 4345872, 4456473, 5242932, 5505045, 6291544, 6357008,
1179 6422553, 44, 50, 81, 98, 137, 164, 261, 296, 515, 560, 2144, 4256, 8480, 16928, 67616, 135200, 196608,
1180 262157, 262163, 262211, 262277, 262409, 262673, 263201, 264257, 266369, 270368, 279041, 294912, 295937,
1181 329729, 397313, 524310, 524355, 532480, 540688, 540736, 541250, 1048604, 1048709, 1050624, 1081352, 1081472,
1182 1082884, 1319173, 1572878, 2097228, 2097290, 2097417, 2097664, 2162692, 2162699, 2162944, 2168840, 2621466,
1183 3145772, 3245068, 3407885, 4194392, 4194432, 4194578, 4194833, 4325378, 4325398, 4325401, 4325888, 4362256,
1184 4599825, 4718642, 4980755, 5242964, 5373973, 6291608, 6357017, 6422554, 52, 76, 97, 138, 145, 196, 262, 328,
1185 517, 592, 1027, 1120, 4288, 8512, 16960, 33856, 135232, 262165, 262179, 270400, 270609, 327680, 524314,
1186 524326, 524419, 540704, 541314, 786439, 794883, 802817, 1048620, 1048710, 1048837, 1052672, 1081360, 1310733,
1187 1572886, 1605634, 2097208, 2097418, 2097673, 2098176, 2162701, 2172936, 2359321, 2621482, 2705418, 2883595,
1188 3145804, 3211268, 4194456, 4194560, 4194580, 4194834, 4195345, 4325380, 4325402, 4329617, 4395024, 4456497,
1189 4718674, 4849683, 4866578, 5243028, 5373974, 6291736, 6357018, 6422536, 6422556, 56, 84, 146, 161, 194, 273,
1190 392, 518, 521, 656, 1029, 1184, 2051, 2240, 8576, 17024, 33920, 67712, 262169, 262181, 270464, 270625,
1191 393216, 524330, 524358, 524547, 541442, 557056, 786443, 794625, 1048628, 1048652, 1048838, 1049093, 1056768,
1192 1081351, 1081376, 1084420, 1310741, 1343489, 1572902, 1589250, 1835015, 2097240, 2097420, 2097674, 2098185,
1193 2099200, 2162702, 2162704, 2181128, 2359337, 2621514, 2686978, 3145868, 3178500, 3211277, 4194416, 4194836,
1194 4195346, 4196369, 4325384, 4325404, 4325425, 4325458, 4325524, 4325656, 4326448, 4327504, 4329618, 4333840,
1195 4342288, 4359184, 4392976, 4456529, 4595728, 4718738, 5243156, 5275669, 5373956, 6291992, 6357000, 6357020,
1196 7471132, 162, 193, 289, 1030, 1312, 2053, 4099, 34048, 262185, 262213, 524338, 524362, 524803, 786451,
1197 1048716, 1049605, 1064960, 1086468, 1310757, 2097256, 2097304, 2097676, 2098186, 2099209, 2101248, 2162713,
1198 2424833, 2621578, 2703882, 3145996, 3178509, 4194480, 4198417, 4325426, 4456593, 4587539, 4718866, 4849666,
1199 6292504, 6426776, 7405596 };
1201 static int cbest_24[1023] = {
1202 1, 2, 8388675, 4, 12583010, 8, 6291505, 16, 32, 64, 11534427, 128, 256, 8388674, 4194337, 14155886, 3, 512,
1203 8388673, 6, 12583011, 5, 1024, 10485843, 12, 6291504, 12583008, 9, 24, 2048, 3145752, 8388679, 10, 7077943,
1204 14680178, 48, 1572876, 13631594, 17, 4096, 8388683, 96, 786438, 12583014, 20, 6291507, 18, 33, 192, 8192,
1205 393219, 7340089, 8388691, 6815797, 11534426, 12583018, 384, 131073, 6291489, 6291509, 11927640, 34, 40, 65,
1206 16384, 262146, 8388707, 8585282, 12582978, 66, 768, 524292, 8388611, 8454211, 11534419, 11534425, 12583026,
1207 1048584, 6291513, 36, 129, 1536, 32768, 2097168, 4292641, 5767213, 80, 130, 4194336, 6291473, 11796569,
1208 12615778, 14155882, 132, 3072, 12058719, 12582946, 68, 257, 65536, 5963820, 8388803, 11534411, 11534431,
1209 14155887, 258, 6144, 196609, 393218, 6307889, 7077941, 160, 260, 8388672, 72, 264, 513, 12288, 131072,
1210 8388931, 10534995, 11272277, 14155878, 14155884, 786436, 8486979, 10485842, 12583138, 7, 516, 24576, 4194339,
1211 6291569, 11927641, 136, 320, 514, 520, 1025, 393217, 5242921, 7077939, 7077942, 8388677, 8389187, 8585283,
1212 12583009, 14418028, 13, 528, 49152, 1572872, 2981910, 8388678, 10485841, 11542619, 12583266, 14286959,
1213 15466612, 14, 4194341, 6291633, 12632162, 14680179, 25, 144, 1026, 1032, 2049, 98304, 262144, 786434,
1214 3145753, 8389699, 11534459, 13631595, 11, 26, 640, 1040, 3145744, 6291506, 8388682, 8388687, 11534363,
1215 11927642, 12583012, 12583522, 12681314, 13656170, 14024809, 28, 49, 1056, 196608, 1572877, 4194345, 6291761,
1216 7340088, 8388681, 11010135, 12583015, 14680176, 272, 1028, 2050, 4097, 1572868, 3145754, 3538971, 6291457,
1217 6316081, 6815793, 6815796, 8388699, 8390723, 10485827, 10485847, 13631586, 13631592, 22, 52, 97, 2064,
1218 786439, 4194305, 6291488, 6291508, 7209014, 8388690, 11534403, 12584034, 14155854, 21, 50, 56, 98, 1280,
1219 2080, 1490955, 1572878, 3670044, 4194353, 5963821, 6291497, 6292017, 6340657, 7733306, 8388643, 8388723,
1220 8781888, 9175109, 9961551, 12582914, 12582994, 12583019, 12583022, 14155902, 14159982, 15728762, 19, 193,
1221 288, 2052, 2112, 4098, 8193, 524288, 3145736, 3145756, 3407898, 4390944, 8392771, 10485851, 11534555,
1222 11796571, 12583016, 13893736, 14155874, 14352495, 15204470, 15532148, 44, 104, 393216, 2195472, 6291511,
1223 6291512, 7077927, 7340081, 8388689, 8388706, 8388739, 12582979, 12583034, 12585058, 14680162, 14680182, 112,
1224 196, 385, 4128, 1097736, 1835022, 4227105, 4292640, 5767209, 5767212, 6292529, 6828085, 7077937, 8388610,
1225 8388695, 8454210, 11534418, 11534423, 11534424, 12583027, 13631598, 35, 41, 194, 544, 2056, 2560, 4100, 4160,
1226 8194, 16385, 262147, 548868, 1703949, 2146320, 4259873, 6291472, 6291517, 7340091, 8388609, 8396867, 8519746,
1227 11534417, 11534683, 11927632, 12976225, 13369444, 14155822, 42, 67, 88, 100, 208, 769, 4224, 274434, 524293,
1228 1073160, 6291493, 6815799, 6946868, 7077951, 8388705, 8585280, 8650817, 10158158, 11546715, 12058715,
1229 12582976, 12587106, 14155880, 14286958, 14680186, 38, 134, 224, 386, 392, 770, 131075, 137217, 536580,
1230 786432, 917511, 1048585, 2883606, 3604507, 4194401, 5963816, 6291491, 6291537, 6293553, 7864381, 8389059,
1231 8454209, 10502227, 11272279, 11796568, 12583024, 12583074, 12615779, 14155883, 15401079, 37, 70, 268, 576,
1232 1537, 4104, 8196, 8256, 16386, 32769, 268290, 393223, 1048576, 2097169, 3866653, 6291515, 6307888, 7077911,
1233 7077940, 7079991, 7340073, 7340093, 7602235, 8388715, 8405059, 10485875, 10518611, 11534429, 11534939,
1234 11559003, 12058718, 12582947, 12582986, 12583030, 14680146, 81, 131, 176, 416, 536, 5120, 8320, 134145,
1235 524294, 786446, 2981908, 3153944, 3538970, 5767205, 6684722, 6815781, 8388802, 8389443, 8847424, 8912967,
1236 9134150, 9240645, 10485779, 11370581, 11534410, 11534430, 11927643, 12582944, 12591202, 12714083, 13631562,
1237 14024808, 82, 133, 262, 388, 448, 784, 1072, 1540, 3073, 8448, 131077, 1048586, 1441803, 1572892, 1576972,
1238 3473434, 4194465, 6295601, 7766074, 8388627, 8388801, 9437259, 11272273, 11534443, 11796561, 11927624,
1239 11927644, 12615776, 12845152, 13631610, 14156014, 14418030, 69, 84, 140, 200, 524, 1088, 1538, 2144, 4112,
1240 8200, 16388, 32770, 65537, 262150, 393227, 788486, 1490954, 1572864, 2097170, 3145784, 4292643, 4423712,
1241 5767215, 5898284, 6422576, 8388711, 8390211, 8421443, 8457283, 8585286, 11535451, 12058711, 12058717,
1242 12582982, 12583394, 13639786, 14696562, 15466614, 15564916, 76, 259, 352, 772, 832, 1048, 4288, 6145, 16512,
1243 394243, 786454, 3211288, 4194338, 5963812, 6291475, 6291481, 6291568, 6815805, 8388615, 8388930, 8454215,
1244 10534994, 11272276, 11534409, 11802713, 12599394, 13647978, 14155879, 14155885, 14876787, 74, 161, 261, 266,
1245 896, 1568, 2096, 3074, 3080, 8576, 10240, 16640, 131081, 655365, 1048588, 1310730, 1572908, 1605644, 1769485,
1246 2211856, 2621460, 3342361, 4194593, 5079079, 5242920, 6291697, 6299697, 7077938, 7143479, 7340057, 8388807,
1247 8388929, 8391747, 8455747, 8486978, 8781889, 11534415, 12583139, 12583778, 13107302, 14155876, 14156142,
1248 14418024, 14680114, 14745714, 73, 162, 265, 280, 1152, 4192, 8208, 12289, 16392, 16896, 17152, 32772, 65538,
1249 132097, 262154, 393235, 802822, 1736717, 2097152, 2097172, 2981906, 3145816, 3538969, 4243489, 4292645,
1250 5963822, 6029359, 6291553, 6815765, 7012404, 7209015, 8585290, 8585794, 8716353, 9109574, 10485971, 11536475,
1251 11928664, 12320861, 12582962, 12583136, 13008993, 13631530, 14024811, 14155894, 14162030, 14286955, 14352494,
1252 15466608, 164, 518, 704, 776, 1664, 6146, 8384, 34304, 133121, 196611, 401411, 524300, 786437, 786470,
1253 1105928, 1703948, 2949142, 3145728, 4194340, 6291477, 6291632, 6291889, 6307891, 6819893, 7078007, 7209012,
1254 7348281, 7733307, 8388619, 8388676, 8389186, 8394819, 8454219, 8454723, 10190926, 10534993, 11534451,
1255 11796553, 11796573, 12189790, 12584546, 12615782, 14418029, 138, 168, 400, 517, 532, 1792, 3076, 3136, 6160,
1256 16768, 24577, 33024, 68608, 131089, 135169, 264194, 745477, 851974, 1490953, 1572940, 4194849, 4292897,
1257 4390945, 5267497, 5636138, 6553651, 6823989, 7733304, 8388835, 8388935, 8455235, 8486977, 10321997, 10485840,
1258 11534395, 11542618, 12058703, 12582950, 12583106, 12583267, 12617314, 14156398, 14168174, 15466613, 16089208,
1259 137, 152, 321, 515, 521, 560, 1544, 2176, 8224, 12290, 16400, 20480, 32776, 33280, 33536, 65540, 131074,
1260 137216, 262162, 266242, 393251, 425987, 552964, 917510, 1572874, 2097176, 3145880, 3407896, 3604506, 4292649,
1261 4567075, 6291571, 6292273, 7372857, 8388939, 8400963, 8456259, 8519747, 8585298, 8589378, 10486099, 11538523,
1262 11927633, 12583142, 12583264, 12586082, 12616034, 12632163, 12779619, 12976224, 14155898, 148, 522, 529,
1263 1036, 1408, 3328, 6148, 33792, 49153, 67072, 196613, 270338, 393222, 458755, 524308, 528388, 786502, 1572873,
1264 2981911, 3866652, 3883037, 4194343, 4194344, 4554787, 5242913, 6291760, 6307873, 6307893, 7077925, 7077947,
1265 7078071, 8388867, 8389185, 8389698, 8454227, 8585281, 8781890, 9175111, 9273413, 10158159, 10510419,
1266 11010131, 11534458, 11534491, 12615786, 12616290, 12616546, 12648546, 12746851, 14073961, 14418020, 14680306,
1267 15, 324, 1064, 3584, 6272, 12320, 24578, 131105, 134144, 163841, 276482, 393221, 532484, 1048600, 1474571,
1268 1573004, 1835020, 3145748, 3506202, 4195361, 4292609, 4294689, 5767181, 6291456, 6293041, 6308017, 6316080,
1269 6324273, 6488112, 6815792, 7077923, 7077949, 8388686, 8389191, 8413251, 8601666, 9257029, 10928208, 11403348,
1270 11534347, 11534362, 11542611, 11542617, 11927672, 11960408, 12582954, 12583013, 12583523, 12589154, 12616802,
1271 12681315, 13631722, 13656171, 13893738, 14155846, 14156910, 14286951, 14286957, 15401078, 15532150, 145, 322,
1272 328, 1027, 1033, 1120, 1552, 2304, 12292, 16416, 32784, 65544, 66048, 98305, 131076, 262145, 262178, 393283,
1273 540676, 786435, 1056776, 1441802, 2818069, 3146008, 4194304, 4194321, 4194349, 4292657, 5242923, 5767229,
1274 5771309, 5964332, 6291601, 6291635, 6308145, 6946869, 7209010, 7340153, 7782458, 8388680, 8388685, 8388811,
1275 8389195, 8470595, 8585314, 8618050, 10059855, 10485835, 10485845, 10486355, 10534979, 10534999, 10584147,
1276 11010134, 11272261, 11534361, 11665498, 11798617, 11927576, 11927634, 11993176, 12583270, 12615746, 12632160,
1277 14155790, 14155850, 14155870, 14680177, 15827066, 146, 276, 336, 641, 800, 1034, 2816, 6656, 49154, 66560,
1278 196617, 197121, 524324, 720901, 786442, 786566, 3158040, 3670040, 5963817, 6291637, 6292016, 6294577,
1279 6307897, 6308657, 6340656, 6815861, 7078199, 8389203, 8390722, 8454243, 8486983, 8585218, 8847425, 9134151,
1280 10485846, 10535123, 12583274, 12615794, 13631587, 14159978 };
1282 static int cbest_25[1023] = {
1283 1, 2, 16777220, 4, 8388610, 8, 4194305, 16, 32, 18874372, 64, 128, 9437186, 256, 512, 4718593, 1024, 2048,
1284 4096, 19136516, 8192, 16384, 32768, 9568258, 65536, 131072, 262144, 4784129, 524288, 1048576, 2097152,
1285 4194304, 19169284, 8388608, 3, 9584642, 16777216, 16777221, 5, 8388611, 16777222, 6, 9, 18, 36, 72, 144, 288,
1286 576, 1152, 2304, 4608, 9216, 18432, 36864, 73728, 147456, 294912, 589824, 1179648, 2359296, 4718592,
1287 25165830, 10, 17, 4194307, 8388614, 9437184, 16777228, 20971525, 12, 33, 4194309, 4792321, 8388618, 12582915,
1288 16777236, 18874368, 18874373, 20, 34, 65, 4194313, 8388626, 16777252, 18874374, 24, 66, 129, 4194321,
1289 8388642, 9437187, 16777284, 27262982, 40, 68, 130, 257, 4194337, 8388674, 16777348, 18874380, 23068677,
1290 26214406, 48, 132, 258, 513, 4194369, 8388738, 9437190, 16777476, 18874388, 80, 136, 260, 514, 1025, 4194433,
1291 4718595, 8388866, 9437194, 13631491, 16777732, 18874404, 19173380, 21495813, 96, 264, 516, 1026, 2049,
1292 4194561, 4718597, 8389122, 9437202, 13107203, 16778244, 18874436, 160, 272, 520, 1028, 2050, 4097, 4194817,
1293 4718601, 4784128, 8389634, 9437218, 9568256, 16779268, 18874500, 19136512, 19136517, 28311558, 192, 528,
1294 1032, 2052, 4098, 8193, 2392064, 4195329, 4718609, 8390658, 9437250, 16781316, 18874628, 19136518, 320, 544,
1295 1040, 2056, 4100, 8194, 16385, 1196032, 4196353, 4718625, 8392706, 9437314, 16785412, 18874884, 23592965,
1296 27525126, 384, 1056, 2064, 4104, 8196, 16386, 32769, 598016, 4198401, 4718657, 8396802, 9437442, 9568259,
1297 9586690, 16793604, 18875396, 19136524, 23330821, 640, 1088, 2080, 4112, 8200, 16388, 32770, 65537, 299008,
1298 4202497, 4718721, 8404994, 9437698, 14155779, 16809988, 18876420, 19136532, 26345478, 768, 2112, 4128, 8208,
1299 16392, 32772, 65538, 131073, 149504, 4210689, 4718849, 8421378, 9438210, 9568262, 16842756, 18878468,
1300 19136548, 1280, 2176, 4160, 8224, 16400, 32776, 65540, 74752, 131074, 262145, 4227073, 4719105, 8454146,
1301 9439234, 9568266, 13762563, 16908292, 18882564, 19136580, 1536, 4224, 8256, 16416, 32784, 37376, 65544,
1302 131076, 262146, 524289, 4259841, 4719617, 4784131, 8519682, 9441282, 9568274, 17039364, 18890756, 19136644,
1303 21561349, 28573702, 2560, 4352, 8320, 16448, 18688, 32800, 65552, 131080, 262148, 524290, 1048577, 4325377,
1304 4720641, 4784133, 4793345, 8650754, 9445378, 9568290, 13172739, 17301508, 18907140, 19136772, 28442630, 3072,
1305 8448, 9344, 16512, 32832, 65568, 131088, 262152, 524292, 1048578, 2097153, 4456449, 4722689, 4784137,
1306 8912898, 9453570, 9568322, 17825796, 18939908, 19137028, 23855109, 4672, 5120, 8704, 16640, 32896, 65600,
1307 131104, 262160, 524296, 1048580, 2097154, 4726785, 4784145, 9469954, 9568386, 19005444, 19137540, 19169280,
1308 19169285, 2336, 6144, 16896, 33024, 65664, 131136, 262176, 524304, 1048584, 2097156, 4194306, 4734977,
1309 4784161, 5242881, 9502722, 9568514, 9584640, 10485762, 19138564, 19169286, 20971524, 23658501, 1168, 10240,
1310 17408, 33280, 65792, 131200, 262208, 524320, 1048592, 2097160, 4194308, 4751361, 4784193, 4792320, 6291457,
1311 8388609, 9568770, 12582914, 14286851, 19140612, 19398660, 27557894, 584, 12288, 33792, 66048, 131328, 262272,
1312 524352, 1048608, 2097168, 4194312, 4784257, 9569282, 9699330, 14221315, 19144708, 19169292, 19922948,
1313 23363589, 25165828, 292, 20480, 34816, 66560, 131584, 262400, 524416, 1048640, 2097184, 2396160, 4194320,
1314 4784385, 4849665, 8388612, 8388624, 9570306, 9584643, 9961474, 16777217, 19152900, 19169300, 19173892, 146,
1315 24576, 67584, 132096, 262656, 524544, 1048704, 2097216, 4194336, 4784641, 4980737, 8388616, 9572354,
1316 12582913, 16777218, 16777223, 16777248, 19169316, 23068676, 26361862, 28704774, 7, 19, 37, 73, 145, 289, 577,
1317 1153, 2305, 4609, 9217, 18433, 36865, 40960, 69632, 73729, 133120, 147457, 263168, 294913, 524800, 589825,
1318 1048832, 1179649, 1198080, 2097280, 2359297, 4194368, 4785153, 9576450, 9584646, 11534338, 19169348,
1319 19202052, 25165826, 25165831, 11, 38, 74, 290, 578, 1154, 2306, 4610, 9218, 18434, 36866, 49152, 73730,
1320 135168, 147458, 264192, 294914, 525312, 589826, 1049088, 1179650, 2097408, 2359298, 4194432, 4718594,
1321 4786177, 5767169, 8388615, 8388640, 9437185, 9584650, 13631490, 13778947, 16777224, 16777229, 16777238,
1322 16777292, 16777364, 16777508, 16777796, 16778372, 16779524, 16781828, 16786436, 16795652, 16814084, 16850948,
1323 16924676, 17072132, 17367044, 17956868, 19169412, 19267588, 20971521, 21495812, 27262980, 28606470, 13, 22,
1324 76, 148, 580, 1156, 2308, 4612, 9220, 18436, 36868, 73732, 81920, 139264, 147460, 266240, 294916, 526336,
1325 589828, 599040, 1049600, 1179652, 2097664, 2359300, 4194560, 4718596, 4788225, 6815745, 8388619, 8388646,
1326 8388672, 8388682, 8388754, 8388898, 8389186, 8389762, 8390914, 8393218, 8397826, 8407042, 8425474, 8462338,
1327 8536066, 8683522, 8978434, 9584658, 9601026, 10747906, 13107202, 16777230, 16777232, 16777237, 18874369,
1328 19169540, 20971527, 23920645, 26214404, 14, 21, 26, 35, 44, 152, 296, 1160, 2312, 4616, 9224, 18440, 36872,
1329 73736, 98304, 147464, 270336, 294920, 528384, 589832, 1050624, 1179656, 2098176, 2359304, 4194311, 4194323,
1330 4194341, 4194377, 4194449, 4194593, 4194816, 4194881, 4195457, 4196609, 4198913, 4203521, 4212737, 4231169,
1331 4268033, 4341761, 4489217, 4718600, 4792323, 5373953, 6553601, 8388627, 8388736, 9437188, 9437200, 9584674,
1332 9633794, 16777253, 18874370, 18874375, 18874400, 19169796, 19660804, 21569541, 23887877, 25165838, 28459014,
1333 29360135, 25, 52, 67, 88, 304, 592, 2320, 4624, 9232, 18448, 36880, 73744, 147472, 163840, 278528, 294928,
1334 299520, 532480, 589840, 1052672, 1179664, 2099200, 2359312, 4194315, 4195328, 4718608, 4792325, 4800513,
1335 8388622, 8388643, 8388864, 9437192, 9584706, 9586946, 12582919, 13180931, 13631489, 16777254, 16777280,
1336 16777285, 19170308, 20185092, 20971533, 25165846, 27262978, 27262983, 41, 50, 69, 104, 131, 176, 608, 1184,
1337 4640, 9248, 18464, 36896, 73760, 147488, 196608, 294944, 540672, 589856, 1056768, 1179680, 2101248, 2359328,
1338 4194317, 4196352, 4718624, 4792329, 4816897, 8388630, 8388675, 8389120, 9584770, 9830402, 12582923, 13107201,
1339 14352387, 16777244, 16777286, 16777344, 16777349, 18874376, 18874381, 18874390, 18874444, 18874516, 18874660,
1340 18874948, 18875524, 18876676, 18878980, 18883588, 18892804, 18911236, 18948100, 19021828, 19171332, 19464196,
1341 20054020, 20971541, 23068673, 23592964, 25165862, 26214402, 26214407, 28, 42, 49, 70, 82, 100, 133, 208, 259,
1342 352, 1216, 2368, 9280, 18496, 36928, 73792, 147520, 149760, 294976, 327680, 557056, 589888, 1064960, 1179712,
1343 2105344, 2359360, 4194325, 4194339, 4198400, 4718656, 4792337, 8388634, 8388739, 8389632, 9437191, 9437216,
1344 9584898, 10092546, 12582931, 16777260, 16777350, 16777472, 16777477, 18874382, 18874384, 18874389, 20971557,
1345 23068679, 23330820, 25165894, 28311556, 81, 134, 137, 164, 200, 261, 416, 515, 704, 2432, 4736, 18560, 36992,
1346 73856, 147584, 295040, 393216, 589952, 1081344, 1179776, 2113536, 2359424, 4194329, 4194371, 4202496,
1347 4718720, 4792353, 4915201, 8388650, 8388678, 8388867, 8390656, 9437195, 9437222, 9437248, 9437258, 9437330,
1348 9437474, 9437762, 9438338, 9439490, 9441794, 9446402, 9455618, 9474050, 9510914, 9585154, 9732098, 10027010,
1349 11796482, 12582947, 14155778, 14303235, 16777268, 16777478, 16777728, 16777733, 18874405, 19173376, 19173381,
1350 19177476, 20971589, 21495809, 23666693, 25165958, 27262990, 31457287, 97, 138, 262, 265, 274, 328, 400, 517,
1351 832, 1027, 1408, 4864, 9472, 37120, 73984, 74880, 147712, 295168, 590080, 655360, 1114112, 1179904, 2129920,
1352 2359552, 4194345, 4194373, 4194435, 4210688, 4718848, 4792385, 5046273, 8388658, 8388742, 8389123, 8392704,
1353 9437203, 9437312, 9585666, 11665410, 12582979, 16777300, 16777356, 16777734, 16778240, 16778245, 18874406,
1354 18874432, 18874437, 19173382, 19185668, 20971653, 21495815, 23068685, 25166086, 26214414, 27262998, 27525124,
1355 30408711, 56, 84, 98, 140, 161, 266, 518, 521, 530, 656, 800, 1029, 1664, 2051, 9728, 18944, 74240, 147968,
1356 295424, 590336, 786432, 1180160, 2162688, 2359808, 4194353, 4194437, 4194563, 4227072, 4718599, 4718611,
1357 4718629, 4718665, 4718737, 4718881, 4719104, 4719169, 4720897, 4723201, 4727809, 4737025, 4755457, 4792449,
1358 4866049, 5013505, 5898241, 7077889, 8388690, 8388870, 8389635, 8396800, 9437198, 9437219, 9437440, 9568257,
1359 12583043, 13631495, 13762562, 14229507, 16777316, 16777484, 16778246, 16779264, 16779269, 18874396, 18874438,
1360 18874496, 18874501, 19136513, 20971781, 23068693, 25166342, 26214422, 27263014, 27561990, 28311554, 28311559,
1361 28737542, 29884423 };
1363 static int cbest_26[1023] = {
1364 1, 2, 33554467, 4, 50331698, 8, 25165849, 16, 32, 64, 46137391, 128, 256, 56623156, 512, 33554466, 16777233,
1365 3, 1024, 28311578, 33554465, 6, 50331699, 5, 41943083, 12, 2048, 25165848, 50331696, 9, 24, 12582924,
1366 33554471, 10, 4096, 14155789, 58720314, 48, 6291462, 54526006, 17, 33554475, 96, 8192, 3145731, 50331702, 20,
1367 25165841, 25165851, 18, 33, 192, 29360157, 33554483, 50331682, 34, 16384, 27263003, 33554435, 35127330,
1368 46137387, 46137390, 50331706, 384, 25165853, 40632357, 40, 65, 66, 768, 32768, 17563665, 25165833, 46137389,
1369 56623158, 68, 1048577, 50331666, 36, 129, 1536, 2097154, 23068695, 33554531, 46137383, 48234541, 80, 130,
1370 65536, 4194308, 28311579, 34078755, 47185966, 56623152, 56623157, 132, 3072, 8388616, 28311576, 136, 257,
1371 14155788, 16777232, 33554595, 6144, 131072, 42336299, 45088808, 50331762, 50593842, 53870641, 160, 260,
1372 25165881, 72, 258, 264, 513, 12288, 1572865, 3145730, 33554723, 272, 262144, 7077894, 23592983, 25296921,
1373 33554464, 50331826, 57671733, 24576, 22544404, 25165913, 47710254, 61866041, 320, 514, 520, 1025, 6291460,
1374 33554979, 34340899, 41943082, 46137407, 7, 528, 49152, 524288, 16777235, 46137359, 50331954, 544, 3145729,
1375 3538947, 20971541, 25165977, 33554469, 35127331, 50331697, 54722614, 56623140, 13, 144, 516, 1026, 2049,
1376 98304, 11272202, 12582920, 28311570, 33554470, 33555491, 41943081, 45350952, 56623164, 14, 640, 1040,
1377 1048576, 14155785, 16777237, 46202927, 50332210, 50724914, 58720315, 25, 1056, 196608, 6291458, 12582925,
1378 25166105, 27263001, 41943075, 44040233, 54526002, 54526007, 11, 26, 1028, 1088, 2050, 4097, 16777217,
1379 23855127, 25165825, 25165840, 25165850, 28311582, 33554474, 33554479, 33556515, 46137455, 50331700, 51118130,
1380 60489787, 62390329, 28, 49, 393216, 5636101, 6291463, 16777241, 29360156, 33554473, 35323938, 46137379,
1381 50331703, 50332722, 56623124, 58720312, 50, 1280, 2080, 12582916, 12582926, 22675476, 25165845, 25166361,
1382 25362457, 27263002, 28311562, 33554451, 33554491, 36700192, 39845925, 40632359, 41943087, 47185967, 50331650,
1383 50331690, 54526004, 22, 52, 97, 288, 1032, 2052, 2112, 4098, 8193, 786432, 14155781, 14155791, 18350096,
1384 25165852, 27361307, 29360153, 33554482, 33558563, 46137385, 46137519, 50331683, 56623154, 56655924, 58720306,
1385 60817464, 64487487, 21, 56, 2176, 2097152, 9175048, 14680078, 23068693, 25559065, 33554434, 33554499,
1386 46137386, 50331707, 50331710, 50333746, 62914622, 19, 100, 193, 1572864, 4587524, 13631501, 17563664,
1387 25165832, 25165843, 25166873, 28311577, 33554433, 40632353, 40632356, 45088809, 50331704, 53870640, 55574583,
1388 35, 44, 98, 104, 2056, 2560, 4100, 4160, 8194, 16385, 2293762, 8781832, 17661969, 25165855, 33554481,
1389 33562659, 36372513, 45482024, 46137647, 48234543, 50331680, 53477425, 56623220, 58720318, 42, 70, 112, 385,
1390 4224, 1146881, 4390916, 7340039, 11337738, 16777265, 23068694, 30408732, 33554487, 35127328, 46137388,
1391 50331686, 50335794, 56623159, 57147444, 38, 41, 140, 194, 200, 386, 4352, 2195458, 25165865, 25167897,
1392 28327962, 29360149, 29360159, 33554659, 41943099, 50331667, 50331730, 57671732, 58720298, 67, 88, 208, 280,
1393 576, 769, 2064, 4104, 8196, 16386, 32769, 1097729, 3145735, 23068691, 27262995, 28311610, 33554443, 33554530,
1394 33570851, 37224480, 40370213, 41943051, 46137382, 46137903, 46235695, 47710255, 48234537, 48234540, 50331664,
1395 54525990, 56623284, 61866040, 69, 84, 134, 224, 560, 5120, 8320, 3145728, 3538946, 4194304, 6291470,
1396 11534347, 16777297, 17039377, 20316178, 31457311, 33554529, 33554851, 34078754, 45088810, 46137381, 47185962,
1397 50339890, 53870643, 54526014, 56623153, 61341752, 37, 76, 196, 268, 400, 772, 1120, 1537, 8448, 2097155,
1398 7077892, 12582940, 15204366, 17301521, 18612240, 22544405, 23592981, 25165837, 25169945, 26935320, 34127907,
1399 34603042, 46137399, 46333999, 47235118, 64749631, 81, 131, 176, 416, 536, 770, 2240, 4112, 8200, 8704, 16388,
1400 32770, 65537, 1769473, 3145739, 4194309, 5668869, 14155784, 14155805, 17563667, 22741012, 25165835, 25165880,
1401 27263007, 28311642, 28573722, 33554439, 33554594, 33555235, 33587235, 35127334, 35651617, 46138415, 50331890,
1402 56098871, 56623412, 63799358, 65798204, 82, 133, 138, 168, 388, 448, 1072, 3073, 4480, 1048579, 6291478,
1403 8388617, 9306120, 14163981, 16777361, 24117270, 25165873, 28835866, 29360141, 33554535, 33554593, 34078753,
1404 34103331, 42074155, 42336298, 45350953, 47185964, 50331674, 50331763, 50348082, 50593843, 56623160, 57671735,
1405 58720282, 60293179, 137, 152, 800, 1538, 1544, 2144, 8960, 10240, 16640, 6291456, 12582956, 23592982,
1406 25165945, 25174041, 25296920, 27262987, 28311568, 30933020, 33556003, 39321638, 41943147, 42205227, 42385451,
1407 46137403, 48234533, 50331760, 50332082, 51740723, 53739569, 54525974, 61866043, 262, 352, 832, 1152, 4128,
1408 4288, 6145, 8208, 16392, 16896, 17920, 32772, 65538, 131073, 3145747, 3538945, 4194310, 4653060, 5636100,
1409 7602183, 10158089, 12648460, 14155821, 17563669, 25165912, 28311571, 28311580, 28311706, 30670876, 33554547,
1410 33554722, 33620003, 35127338, 37748775, 46139439, 47185958, 49283116, 50331746, 51380275, 56623668, 56672308,
1411 57409588, 74, 161, 261, 276, 336, 392, 896, 3074, 8576, 17408, 35840, 1048581, 6291494, 6324230, 7077890,
1412 8388608, 8388618, 11272200, 16777489, 23592979, 25166041, 33554599, 33557539, 40632365, 42336297, 44826665,
1413 50331670, 50331827, 50332466, 50364466, 50593840, 50618418, 52428848, 56623136, 56623166, 57671729, 60489786,
1414 62390328, 73, 259, 265, 304, 1540, 1600, 3088, 12289, 17152, 71680, 2097158, 2326530, 2818050, 3162115,
1415 12058635, 12582988, 13467660, 14155780, 14155790, 14286861, 16777234, 17563649, 21168149, 22544400, 25165883,
1416 25182233, 26214424, 33554563, 33554603, 34439203, 35323939, 41943211, 46137375, 47710250, 50331766, 50331824,
1417 54591542, 56623142, 56721460, 58851386, 164, 266, 273, 524, 704, 776, 1664, 6146, 8224, 16400, 20480, 32776,
1418 33280, 34304, 65540, 131074, 143360, 262145, 3145763, 5242885, 7077895, 10485770, 11370506, 11796491,
1419 12582912, 13107212, 14155853, 14417933, 17563673, 19660819, 20971540, 25165976, 25166233, 28311583, 28311834,
1420 33554721, 33554978, 33560611, 33685539, 34078759, 34340898, 35127346, 36388897, 36700193, 37355552, 42336291,
1421 45088800, 45350954, 46137351, 46137406, 46141487, 50333234, 50606130, 54657078, 56624180, 58720378, 61603896,
1422 162, 552, 672, 1792, 3076, 24577, 33792, 68608, 286720, 1048585, 1163265, 1409025, 6291526, 6553606, 8388620,
1423 13631500, 14155777, 15466510, 16777745, 17170449, 23068679, 23617559, 23855125, 25165897, 25165969, 28311554,
1424 33554727, 35127298, 35135522, 36175905, 40632373, 40636453, 46137355, 46137358, 46137423, 50331955, 50397234,
1425 54526070, 56623108, 56623148, 59244602, 64487486, 321, 515, 521, 608, 3200, 6176, 12290, 34816, 137216,
1426 573440, 1572867, 2097162, 3276803, 6291461, 6815750, 12583052, 15335438, 16777236, 20971537, 22675477,
1427 23068703, 24641558, 25165915, 25166617, 25198617, 28311563, 29360189, 33554468, 33554539, 33554731, 33566755,
1428 40632325, 41943339, 44040235, 46137357, 46137451, 47710252, 50331830, 50334770, 54722610, 54722615, 56623126,
1429 56623141, 148, 274, 322, 522, 529, 784, 1048, 1408, 2304, 3328, 6148, 8256, 16416, 32784, 49153, 65544,
1430 131076, 262146, 274432, 524289, 1146880, 3145795, 3407875, 4194316, 7340038, 14155917, 17567761, 18350097,
1431 18677776, 25165917, 25166104, 25296913, 25296923, 25309209, 27263000, 27263035, 27295771, 28311560, 28311574,
1432 28312090, 28336154, 28704794, 29425693, 32899102, 33554739, 33554977, 33555490, 33816611, 34078763, 34340897,
1433 37093408, 41943080, 42336303, 45088812, 46137405, 46145583, 50331794, 50331834, 50331938, 50593846, 53870645,
1434 55574582, 56229943, 56623165, 56625204, 58720442, 62390331, 63701054, 65929276, 518, 545, 1104, 1344, 3080,
1435 3584, 24578, 40960, 66560, 548864, 1048593, 3670019, 6291590, 12582922, 16777216, 16778257, 22544406,
1436 23855126, 25165824, 25165885, 25165905, 25166097, 25167385, 27328539, 27361305, 31195164, 33579043, 35192866,
1437 39583782, 40632355, 44138537, 45482025, 46202923, 46202926, 47710246, 50331952, 50332211, 50337842, 50462770,
1438 50724915, 51904563, 53477424, 54526000, 54526134, 60424251, 61866033, 145, 328, 517, 532, 546, 1027, 1216,
1439 1552, 6400, 12292, 12352, 67584, 98305, 1097728, 1572869, 2097170, 3145734, 6733830, 11272203, 12582921,
1440 12583180, 14155787, 14680076, 16777225, 16777239, 16777240, 25165979, 25231385, 25303065, 28360730, 29360221,
1441 29622301, 33554787, 33554947, 33554987, 35127329, 35258402, 36700194, 38633511, 39452710, 39845927, 40697893,
1442 41943074, 41943079, 41943595, 42139691, 43384874, 44040232, 46137515, 46137583, 48234557, 50331958, 50593826,
1443 50774066, 51216434, 51642419, 53870625, 54526003, 54722612, 54747190, 59424826, 15, 641, 6152, 6656, 49154,
1444 69632, 131080, 4194324, 11534346, 14156045, 17596433, 25168921, 25296925, 25362456, 27263067, 33556514,
1445 35389474, 41943073, 50331701, 50331770, 50332194, 50343986, 50593850, 60817466 };
1447 static int cbest_27[1023] = {
1448 1, 2, 67108883, 4, 100663322, 8, 50331661, 16, 32, 92274709, 64, 128, 113246233, 256, 512, 67108882,
1449 33554441, 3, 1024, 67108881, 123731999, 6, 100663323, 5, 2048, 83886103, 12, 50331660, 100663320, 9, 24,
1450 4096, 25165830, 67108887, 109051928, 10, 117440542, 48, 12582915, 50331657, 17, 8192, 54525964, 67108891,
1451 100663314, 128974876, 18, 96, 67108867, 92274711, 100663326, 20, 50331663, 73400338, 92274708, 113246232, 33,
1452 192, 16384, 27262982, 58720271, 34, 50331653, 92274705, 36, 384, 36700169, 46137354, 100663306, 40, 65,
1453 32768, 13631491, 56623116, 67108915, 66, 768, 96469012, 113246235, 68, 23068677, 64487438, 72, 129, 1536,
1454 65536, 67108947, 80, 4194305, 28311558, 73924626, 100663354, 132, 3072, 8388610, 48234506, 50331677,
1455 85458967, 123731998, 130, 136, 257, 131072, 16777220, 67109011, 69206035, 78643217, 144, 6144, 33554440,
1456 92274717, 100663386, 160, 14155779, 36962313, 50331693, 92274693, 258, 264, 513, 12288, 262144, 24117253,
1457 67109139, 101711898, 113246225, 272, 6291457, 12582914, 32243719, 100663450, 109838360, 113246237, 288,
1458 24576, 50331725, 67108880, 260, 320, 514, 1025, 524288, 50855949, 61865999, 67109395, 528, 49152, 25165828,
1459 70254611, 74186770, 83886102, 92274741, 100663578, 106430491, 123731995, 7, 544, 33554443, 50331789,
1460 79167505, 113246217, 123731997, 516, 576, 1026, 2049, 98304, 1048576, 12582913, 41943051, 54525965, 54919180,
1461 67108885, 67109907, 73400339, 83886099, 85590039, 100663321, 109051930, 13, 640, 33554433, 50331656,
1462 67108886, 83886101, 92274773, 92536853, 100663834, 109051929, 14, 26, 1056, 196608, 13631490, 33554445,
1463 50331649, 50331917, 83230736, 102236186, 117440543, 25, 52, 520, 1028, 1088, 2050, 4097, 2097152, 6815745,
1464 25165826, 25165831, 37093385, 67110931, 88080406, 92274707, 98041876, 123731991, 128974878, 11, 104, 1152,
1465 393216, 23068676, 27262980, 50331659, 50331662, 58720269, 67108875, 67108890, 67108895, 79691792, 92274837,
1466 94371861, 100663298, 100663315, 100663318, 100663324, 100664346, 103809050, 113246265, 117440538, 128974877,
1467 22, 28, 49, 208, 1280, 11534338, 27459590, 39845896, 46137355, 50332173, 58720270, 67108866, 67108889,
1468 92274710, 96469013, 100663312, 100663327, 113246234, 117440540, 44, 416, 1032, 2052, 2112, 4098, 8193,
1469 786432, 4194304, 5767169, 19922948, 44040203, 46137352, 50331652, 51118093, 54525960, 56623117, 67108865,
1470 67108899, 67112979, 109903896, 113377305, 120324126, 125829148, 128974872, 19, 88, 97, 832, 2176, 9961474,
1471 13631489, 36700168, 70516755, 92274965, 100665370, 106692635, 113246297, 121634847, 21, 38, 50, 56, 176,
1472 1664, 2304, 1572864, 4980737, 18350084, 29360135, 33554457, 50332685, 51904525, 64487439, 73924627, 92274704,
1473 109051920, 123731983, 76, 193, 352, 1040, 2056, 2560, 3328, 4100, 8194, 16385, 9175042, 27262978, 27262983,
1474 41615368, 49020938, 54525966, 58720267, 64487436, 67108871, 67117075, 73400336, 83886111, 90177558,
1475 100663307, 109051932, 114294809, 117440534, 35, 98, 152, 194, 704, 4224, 6656, 3145728, 4587521, 13729795,
1476 14155778, 50331669, 62914574, 67108914, 67108979, 69992467, 81788944, 83886087, 89128982, 92275221, 96469014,
1477 100663304, 100663338, 100667418, 113246361, 115343385, 37, 42, 70, 112, 304, 385, 1408, 4352, 13312,
1478 12582919, 24117252, 28311556, 33554473, 48234507, 50331655, 50333709, 54525956, 67108913, 80740368, 85655575,
1479 92274713, 92667925, 95420437, 128974868, 41, 140, 608, 2064, 2816, 4104, 4608, 8196, 16386, 26624, 32769,
1480 6291456, 7077889, 8388608, 25165838, 32243718, 40894472, 48234504, 54951948, 56623112, 67109075, 67125267,
1481 69599251, 102367258, 127926300, 67, 100, 280, 388, 769, 1216, 5120, 5632, 53248, 12058626, 40370184,
1482 45088779, 50331673, 50331676, 67108946, 92275733, 93061141, 96469008, 100663310, 100671514, 104071194,
1483 109051912, 113246224, 113246489, 123732031, 131596317, 69, 74, 84, 224, 386, 560, 2432, 8448, 11264, 106496,
1484 12582923, 20447236, 23068673, 31457287, 33554505, 36700171, 44564491, 50335757, 58720263, 60162063, 64487434,
1485 67108919, 67108945, 67109267, 69402643, 73400342, 92274719, 100663355, 100663418, 113246236, 117440526,
1486 123797535, 73, 196, 1120, 1537, 2080, 4112, 4864, 8200, 8704, 16388, 22528, 32770, 65537, 212992, 6029313,
1487 14155777, 20185092, 24510469, 25165846, 56623118, 67108923, 67141651, 78643219, 83886135, 85458966, 92274695,
1488 99352596, 100663346, 100663352, 102105114, 113246239, 81, 134, 770, 776, 2240, 9216, 9728, 45056, 425984,
1489 10223618, 20807684, 28311554, 28311559, 34603017, 36700161, 36962312, 46137346, 50331689, 50331692, 50331709,
1490 67109010, 67109651, 69206034, 73973778, 78643216, 91226134, 92274689, 92276757, 100663514, 100679706,
1491 113246227, 113246745, 120455198, 123732063, 128974860, 133, 148, 168, 448, 3073, 4480, 10240, 19456, 90112,
1492 851968, 8388611, 10092546, 12582912, 12582931, 23068679, 32243717, 33554569, 35651593, 36700173, 46137358,
1493 50339853, 51183629, 56623108, 63963150, 67108931, 67108951, 70647827, 71303186, 73400346, 73924624, 74186771,
1494 82837520, 85458963, 92274701, 92274716, 100663387, 101908506, 106430490, 113442841, 114819097, 123731994,
1495 124256287, 131, 137, 200, 1538, 4128, 8208, 8960, 16392, 16896, 32772, 38912, 65538, 131073, 180224, 1703936,
1496 5111809, 13631495, 16121859, 16777216, 16777221, 18481156, 25165862, 27262990, 27475974, 39321608, 50331679,
1497 50331757, 52035597, 54525980, 67108955, 67110419, 67174419, 73400322, 75497489, 83886167, 85458965, 89653270,
1498 92274692, 100663358, 100663378, 100663384, 100663706, 109051960, 109936664, 113246216, 123731996, 124780575,
1499 82, 138, 145, 268, 772, 1552, 6145, 17408, 17920, 77824, 360448, 3407872, 4194307, 5046273, 42729483,
1500 50331685, 50331721, 50331724, 61865997, 64487430, 67109009, 67109138, 69206033, 81264656, 84410391, 89391126,
1501 92274725, 92278805, 100696090, 101711899, 101810202, 109838362, 113246209, 113246229, 113247257, 113639449,
1502 117440574, 123732127, 146, 161, 296, 336, 392, 896, 3074, 18432, 35840, 155648, 720896, 6815744, 9240578,
1503 12582947, 19660804, 33554697, 41418760, 50331853, 50348045, 50855948, 51052557, 61865998, 67108995, 67109015,
1504 67111955, 70123539, 84934679, 92274743, 100663451, 100664090, 109838361, 162, 259, 265, 1540, 4160, 8224,
1505 12289, 16400, 20480, 32776, 65540, 71680, 131074, 262145, 311296, 1441792, 13631499, 16777222, 24117249,
1506 25165824, 25165894, 25427974, 27262998, 45613067, 50331695, 54525996, 54919181, 58720287, 67109019, 67239955,
1507 83230737, 83886231, 92274737, 97189908, 100663370, 100663390, 100663442, 104857627, 109051992, 109314072,
1508 113246219, 128974908, 129007644, 266, 273, 536, 3104, 6146, 33792, 143360, 622592, 2883584, 4194309, 4620289,
1509 9830402, 12713987, 31981575, 32243715, 33554442, 36986889, 40632328, 41943049, 48234498, 49676298, 50331717,
1510 50331785, 50331788, 50332045, 50954253, 53215245, 67109137, 67109394, 67115027, 73924630, 79364113, 88080407,
1511 92282901, 96469020, 98041877, 100664858, 100728858, 101711896, 109576216, 113248281, 117440606, 123731987,
1512 123731990, 123731993, 123732255, 262, 274, 289, 400, 592, 672, 1792, 3076, 24577, 34816, 286720, 1245184,
1513 5767168, 8388614, 10403842, 12582979, 20709380, 20971525, 23068685, 33554953, 36700185, 36962315, 41943050,
1514 44826635, 46137370, 48234510, 50364429, 54657036, 67109043, 67109123, 69664787, 70254610, 73400370, 79167507,
1515 79691793, 92274740, 92274775, 92274805, 92700693, 96468996, 100663448, 100663579, 102432794, 104202266,
1516 113246264, 117964830, 132907037, 261, 276, 290, 321, 515, 1544, 8256, 12290, 16416, 32784, 36864, 65544,
1517 131076, 262146, 524289, 573440, 2490368, 4915201, 13631488, 13631507, 13737987, 24117255, 25165958, 27263014,
1518 33554432, 35127305, 44695563, 50331727, 50332429, 50855945, 50905101, 54526028, 54788108, 56623132, 58720303,
1519 61865995, 67109147, 67121171, 67371027, 69206039, 69632019, 73465874, 77594641, 78643221, 79167504, 83886097,
1520 83886359, 88473622, 92274769, 93126677, 100663434, 100663454, 100663570, 100666394, 109052056, 111149080,
1521 128974940, 129237020, 292, 322, 529, 784, 1072, 6148, 6208, 40960, 49153, 1146880, 4194313, 4980736, 6291459,
1522 20316164, 25165829, 27328518, 28311566, 29360134, 30932999, 33554444, 36962305, 50331648, 50331781, 50331916,
1523 54968332, 60227599, 67108884, 67109393, 67109906, 73924634, 75169810, 83886098, 85590038, 92274901, 92291093,
1524 92536855, 100794394, 109051931, 113246249, 113250329, 113377304, 117440670, 119537694, 123732511, 129499164,
1525 164, 324, 518, 530, 545, 1184, 1344, 3080, 3584, 24578, 67584, 2293760, 8388618, 10354690, 12583043,
1526 14155783, 14680067, 23068693, 27394054, 33554437, 33555465, 36700201, 36732937, 36962317, 37093384, 39845897,
1527 46137386, 50333197, 50397197, 55574540, 64487454, 67109171, 67109379, 67133459, 70254609, 73400402, 73924610,
1528 74186768, 83099664, 83230738, 83886100, 85458975, 92274772, 92536852, 92635157, 100663576, 100663835,
1529 100669466, 101711890, 102170650, 106430489, 106692634, 113246267, 113246296, 121634846, 123830303, 124518431,
1530 128974874, 517, 532, 16448, 69632, 524290, 1048577, 4587520, 27262976, 46137353, 50331658, 50331741,
1531 54525961, 56623148, 58720268, 58982415, 67109143, 67109203, 67633171, 78643225, 100663482, 102236187,
1532 106954779, 123731982 };
1534 static int cbest_28[1023] = {
1535 1, 2, 134217732, 4, 67108866, 8, 33554433, 16, 32, 150994948, 64, 128, 75497474, 256, 512, 37748737, 1024,
1536 2048, 4096, 153092100, 8192, 16384, 32768, 76546050, 65536, 131072, 262144, 38273025, 524288, 1048576,
1537 2097152, 4194304, 153354244, 8388608, 16777216, 33554432, 76677122, 67108864, 3, 134217728, 134217733, 5,
1538 38338561, 67108867, 134217734, 6, 9, 18, 36, 72, 144, 288, 576, 1152, 2304, 4608, 9216, 18432, 36864, 73728,
1539 147456, 294912, 589824, 1179648, 2359296, 4718592, 9437184, 18874368, 37748736, 201326598, 10, 17, 33554435,
1540 67108870, 75497472, 134217740, 167772165, 12, 33, 33554437, 67108874, 100663299, 134217748, 150994944,
1541 150994949, 20, 34, 65, 33554441, 67108882, 134217764, 150994950, 24, 66, 129, 33554449, 67108898, 75497475,
1542 134217796, 153387012, 218103814, 40, 68, 130, 257, 33554465, 67108930, 134217860, 150994956, 184549381,
1543 209715206, 48, 132, 258, 513, 33554497, 67108994, 75497478, 134217988, 150994964, 80, 136, 260, 514, 1025,
1544 33554561, 37748739, 67109122, 75497482, 109051907, 134218244, 150994980, 171966469, 96, 264, 516, 1026, 2049,
1545 33554689, 37748741, 67109378, 75497490, 104857603, 134218756, 150995012, 160, 272, 520, 1028, 2050, 4097,
1546 33554945, 37748745, 38273024, 67109890, 75497506, 76546048, 76693506, 134219780, 150995076, 153092096,
1547 153092101, 226492422, 192, 528, 1032, 2052, 4098, 8193, 19136512, 33555457, 37748753, 67110914, 75497538,
1548 134221828, 150995204, 153092102, 320, 544, 1040, 2056, 4100, 8194, 16385, 9568256, 33556481, 37748769,
1549 67112962, 75497602, 134225924, 150995460, 188743685, 220200966, 384, 1056, 2064, 4104, 8196, 16386, 32769,
1550 4784128, 33558529, 37748801, 67117058, 75497730, 76546051, 134234116, 150995972, 153092108, 186646533, 640,
1551 1088, 2080, 4112, 8200, 16388, 32770, 65537, 2392064, 33562625, 37748865, 67125250, 75497986, 113246211,
1552 134250500, 150996996, 153092116, 210763782, 768, 2112, 4128, 8208, 16392, 32772, 65538, 131073, 1196032,
1553 33570817, 37748993, 38346753, 67141634, 75498498, 76546054, 134283268, 150999044, 153092132, 1280, 2176,
1554 4160, 8224, 16400, 32776, 65540, 131074, 262145, 598016, 33587201, 37749249, 67174402, 75499522, 76546058,
1555 110100483, 134348804, 151003140, 153092164, 1536, 4224, 8256, 16416, 32784, 65544, 131076, 262146, 299008,
1556 524289, 33619969, 37749761, 38273027, 67239938, 75501570, 76546066, 134479876, 151011332, 153092228,
1557 172490757, 228589574, 2560, 4352, 8320, 16448, 32800, 65552, 131080, 149504, 262148, 524290, 1048577,
1558 33685505, 37750785, 38273029, 67371010, 75505666, 76546082, 105381891, 134742020, 151027716, 153092356,
1559 227540998, 3072, 8448, 16512, 32832, 65568, 74752, 131088, 262152, 524292, 1048578, 2097153, 33816577,
1560 37752833, 38273033, 67633154, 75513858, 76546114, 135266308, 151060484, 153092612, 190840837, 5120, 8704,
1561 16640, 32896, 37376, 65600, 131104, 262160, 524296, 1048580, 2097154, 4194305, 34078721, 37756929, 38273041,
1562 68157442, 75530242, 76546178, 136314884, 151126020, 153093124, 153354240, 153354245, 6144, 16896, 18688,
1563 33024, 65664, 131136, 262176, 524304, 1048584, 2097156, 4194306, 8388609, 34603009, 37765121, 38273057,
1564 69206018, 75563010, 76546306, 76677120, 138412036, 151257092, 153094148, 153354246, 153391108, 189267973,
1565 9344, 10240, 17408, 33280, 65792, 131200, 262208, 524320, 1048592, 2097160, 4194308, 8388610, 16777217,
1566 35651585, 37781505, 38273089, 38338560, 71303170, 75628546, 76546562, 114294787, 142606340, 151519236,
1567 153096196, 220463110, 4672, 12288, 33792, 66048, 131328, 262272, 524352, 1048608, 2097168, 4194312, 8388612,
1568 16777218, 37814273, 38273153, 75759618, 76547074, 113770499, 152043524, 153100292, 153354252, 186908677,
1569 2336, 20480, 34816, 66560, 131584, 262400, 524416, 1048640, 2097184, 4194320, 8388616, 16777220, 19169280,
1570 33554434, 37879809, 38273281, 41943041, 76021762, 76548098, 76677123, 83886082, 153108484, 153354260,
1571 167772164, 1168, 24576, 67584, 132096, 262656, 524544, 1048704, 2097216, 4194336, 8388624, 16777224,
1572 33554436, 38010881, 38273537, 50331649, 67108865, 76550146, 100663298, 153124868, 153354276, 155189252,
1573 210894854, 229638150, 584, 40960, 69632, 133120, 263168, 524800, 1048832, 2097280, 4194368, 8388640, 9584640,
1574 16777232, 33554440, 38274049, 76554242, 76677126, 77594626, 153157636, 153354308, 159383556, 201326596, 292,
1575 49152, 135168, 264192, 525312, 1049088, 2097408, 4194432, 8388672, 16777248, 33554448, 38275073, 38797313,
1576 67108868, 67108880, 76562434, 76677130, 76695554, 79691778, 110231555, 134217729, 153223172, 153354372,
1577 228851718, 146, 81920, 139264, 266240, 526336, 1049600, 2097664, 4194560, 4792320, 8388736, 16777280,
1578 33554464, 38277121, 39845889, 67108872, 76578818, 76677138, 100663297, 134217730, 134217735, 134217760,
1579 153354500, 184549380, 191365125, 7, 19, 37, 73, 145, 289, 577, 1153, 2305, 4609, 9217, 18433, 36865, 73729,
1580 98304, 147457, 270336, 294913, 528384, 589825, 1050624, 1179649, 2098176, 2359297, 4194816, 4718593, 8388864,
1581 9437185, 16777344, 18874369, 33554496, 38281217, 38338563, 76611586, 76677154, 92274690, 153354756,
1582 153616388, 172556293, 191102981, 201326594, 201326599, 227672070, 11, 38, 74, 290, 578, 1154, 2306, 4610,
1583 9218, 18434, 36866, 73730, 147458, 163840, 278528, 294914, 532480, 589826, 1052672, 1179650, 2099200,
1584 2359298, 2396160, 4195328, 4718594, 8389120, 9437186, 16777472, 18874370, 33554560, 37748738, 38289409,
1585 38338565, 46137345, 67108871, 67108896, 75497473, 76677186, 105447427, 109051906, 134217736, 134217741,
1586 134217750, 134217804, 134217876, 134218020, 134218308, 134218884, 134220036, 134222340, 134226948, 134236164,
1587 134254596, 134291460, 134365188, 134512644, 134807556, 135397380, 136577028, 138936324, 143654916, 153355268,
1588 154140676, 167772161, 171966468, 218103812, 13, 22, 76, 148, 580, 1156, 2308, 4612, 9220, 18436, 36868,
1589 73732, 147460, 196608, 294916, 540672, 589828, 1056768, 1179652, 2101248, 2359300, 4196352, 4718596, 8389632,
1590 9437188, 16777728, 18874372, 33554688, 37748740, 38305793, 38338569, 54525953, 67108875, 67108902, 67108928,
1591 67108938, 67109010, 67109154, 67109442, 67110018, 67111170, 67113474, 67118082, 67127298, 67145730, 67182594,
1592 67256322, 67403778, 67698690, 68288514, 69468162, 71827458, 76677250, 76808194, 85983234, 104857602,
1593 114819075, 134217742, 134217744, 134217749, 150994945, 153356292, 167772167, 209715204, 14, 21, 26, 35, 44,
1594 152, 296, 1160, 2312, 4616, 9224, 18440, 36872, 73736, 147464, 294920, 327680, 557056, 589832, 1064960,
1595 1179656, 1198080, 2105344, 2359304, 4198400, 4718600, 8390656, 9437192, 16778240, 18874376, 33554439,
1596 33554451, 33554469, 33554505, 33554577, 33554721, 33554944, 33555009, 33555585, 33556737, 33559041, 33563649,
1597 33572865, 33591297, 33628161, 33701889, 33849345, 34144257, 34734081, 35913729, 37748744, 38338577, 42991617,
1598 52428801, 67108883, 67108992, 75497476, 75497488, 76677378, 77070338, 134217765, 150994946, 150994951,
1599 150994976, 153358340, 157286404, 201326606, 234881031, 25, 52, 67, 88, 304, 592, 2320, 4624, 9232, 18448,
1600 36880, 73744, 147472, 294928, 393216, 589840, 1081344, 1179664, 2113536, 2359312, 4202496, 4718608, 8392704,
1601 9437200, 16779264, 18874384, 33554443, 33555456, 37748752, 38338593, 38347777, 38404097, 67108878, 67108899,
1602 67109120, 75497480, 76677634, 100663303, 109051905, 114425859, 134217766, 134217792, 134217797, 153362436,
1603 153387008, 153387013, 161480708, 167772173, 189333509, 201326614, 218103810, 218103815, 41, 50, 69, 104, 131,
1604 176, 608, 1184, 4640, 9248, 18464, 36896, 73760, 147488, 294944, 589856, 599040, 655360, 1114112, 1179680,
1605 2129920, 2359328, 4210688, 4718624, 8396800, 9437216, 16781312, 18874400, 33554445, 33556480, 37748768,
1606 38338625, 38535169, 67108886, 67108931, 67109376, 76678146, 78643202, 100663307, 104857601, 134217756,
1607 134217798, 134217856, 134217861, 150994952, 150994957, 150994966, 150995020, 150995092, 150995236, 150995524,
1608 150996100, 150997252, 150999556, 151004164, 151013380, 151031812, 151068676, 151142404, 151289860, 151584772,
1609 152174596, 153370628, 153387014, 155713540, 160432132, 167772181, 184549377, 188743684, 201326630, 209715202,
1610 209715207, 28, 42, 49, 70, 82, 100, 133, 208, 259, 352, 1216, 2368, 9280, 18496, 36928, 73792, 147520,
1611 294976, 589888, 786432, 1179712, 2162688, 2359360, 4227072, 4718656, 8404992, 9437248, 16785408, 18874432,
1612 33554453, 33554467, 33558528, 37748800, 38338689, 67108890, 67108995, 67109888, 75497479, 75497504, 76679170,
1613 76693504, 80740354, 100663315, 113836035, 134217772, 134217862, 134217984, 134217989, 150994958, 150994960,
1614 150994965, 167772197, 184549383, 186646532, 201326662, 220495878, 226492420, 229900294, 81, 134, 137, 164,
1615 200, 261, 416, 515, 704, 4736, 36992, 73856, 147584, 295040, 299520, 1179776, 2228224, 2359424, 8421376,
1616 9437312, 18874496, 33554457, 33554499, 33562624, 37748864, 67108906, 67108934, 67109123, 67110912, 75497483,
1617 75497510, 75497536, 75497546, 75497762, 75498050, 75499778, 75502082, 75506690, 75515906, 75534338, 75571202,
1618 75644930, 75792386, 76087298, 76681218, 77856770, 80216066, 94371842, 100663331, 113246210, 134217780,
1619 134217990, 134218240, 150994981, 153419780, 167772229, 171966465, 201326726, 218103822, 229769222, 251658247 };
1621 static int cbest_29[1023] = {
1622 1, 2, 268435458, 4, 134217729, 8, 16, 335544322, 32, 64, 167772161, 128, 256, 512, 352321538, 1024, 2048,
1623 4096, 176160769, 8192, 16384, 32768, 65536, 356515842, 131072, 262144, 524288, 1048576, 178257921, 2097152,
1624 4194304, 8388608, 16777216, 33554432, 357564418, 67108864, 134217728, 268435456, 3, 178782209, 268435459, 5,
1625 10, 20, 40, 80, 160, 320, 640, 1280, 2560, 5120, 10240, 20480, 40960, 81920, 163840, 327680, 655360, 1310720,
1626 2621440, 5242880, 10485760, 20971520, 41943040, 83886080, 167772160, 6, 9, 134217731, 268435462, 335544320,
1627 402653187, 17, 134217733, 268435466, 335544323, 12, 18, 33, 134217737, 268435474, 34, 65, 134217745,
1628 268435490, 335544326, 469762051, 24, 36, 66, 129, 134217761, 167772163, 268435522, 335544330, 357826562,
1629 436207619, 68, 130, 257, 134217793, 167772165, 176160768, 268435586, 335544338, 352321536, 48, 72, 132, 258,
1630 513, 88080384, 134217857, 167772169, 268435714, 335544354, 352321539, 136, 260, 514, 1025, 44040192,
1631 134217985, 167772177, 268435970, 335544386, 503316483, 96, 144, 264, 516, 1026, 2049, 22020096, 134218241,
1632 167772193, 268436482, 335544450, 352321542, 486539267, 272, 520, 1028, 2050, 4097, 11010048, 134218753,
1633 167772225, 268437506, 335544578, 352321546, 192, 288, 528, 1032, 2052, 4098, 8193, 5505024, 134219777,
1634 167772289, 176160771, 178913281, 268439554, 335544834, 352321554, 444596227, 544, 1040, 2056, 4100, 8194,
1635 16385, 2752512, 134221825, 167772417, 176160773, 268443650, 335545346, 352321570, 384, 576, 1056, 2064, 4104,
1636 8196, 16386, 32769, 1376256, 134225921, 167772673, 176160777, 268451842, 335546370, 352321602, 356515840,
1637 520093699, 1088, 2080, 4112, 8200, 16388, 32770, 65537, 688128, 134234113, 167773185, 176160785, 178257920,
1638 268468226, 335548418, 352321666, 356515843, 511705091, 768, 1152, 2112, 4128, 8208, 16392, 32772, 65538,
1639 131073, 344064, 134250497, 167774209, 176160801, 268500994, 335552514, 352321794, 2176, 4160, 8224, 16400,
1640 32776, 65540, 131074, 172032, 262145, 89128960, 134283265, 167776257, 176160833, 268566530, 335560706,
1641 352322050, 356515846, 490733571, 1536, 2304, 4224, 8256, 16416, 32784, 65544, 86016, 131076, 262146, 524289,
1642 134348801, 167780353, 176160897, 268697602, 335577090, 352322562, 356515850, 4352, 8320, 16448, 32800, 43008,
1643 65552, 131080, 262148, 524290, 1048577, 44564480, 134479873, 167788545, 176161025, 268959746, 335609858,
1644 352323586, 356515858, 357892098, 3072, 4608, 8448, 16512, 21504, 32832, 65568, 131088, 262152, 524292,
1645 1048578, 2097153, 134742017, 167804929, 176161281, 178257923, 269484034, 335675394, 352325634, 356515874,
1646 446693379, 528482307, 8704, 10752, 16640, 32896, 65600, 131104, 262160, 524296, 1048580, 2097154, 4194305,
1647 22282240, 135266305, 167837697, 176161793, 178257925, 270532610, 335806466, 352329730, 356515906, 524288003,
1648 5376, 6144, 9216, 16896, 33024, 65664, 131136, 262176, 524304, 1048584, 2097156, 4194306, 8388609, 136314881,
1649 167903233, 176162817, 178257929, 272629762, 336068610, 352337922, 356515970, 2688, 17408, 33280, 65792,
1650 131200, 262208, 524320, 1048592, 2097160, 4194308, 8388610, 11141120, 16777217, 138412033, 168034305,
1651 176164865, 178257937, 276824066, 336592898, 352354306, 356516098, 357564416, 513802243, 1344, 12288, 18432,
1652 33792, 66048, 131328, 262272, 524352, 1048608, 2097168, 4194312, 8388612, 16777218, 33554433, 142606337,
1653 168296449, 176168961, 178257953, 285212674, 337641474, 352387074, 356516354, 357564419, 672, 34816, 66560,
1654 131584, 262400, 524416, 1048640, 2097184, 4194320, 5570560, 8388616, 16777220, 33554434, 67108865, 150994945,
1655 168820737, 176177153, 178257985, 178782208, 301989890, 339738626, 352452610, 356516866, 336, 24576, 36864,
1656 67584, 132096, 262656, 524544, 1048704, 2097216, 4194336, 8388624, 16777224, 33554436, 67108866, 169869313,
1657 176193537, 178258049, 178946049, 343932930, 352583682, 356517890, 357564422, 491782147, 168, 69632, 133120,
1658 263168, 524800, 1048832, 2097280, 2785280, 4194368, 8388640, 16777232, 33554440, 67108868, 134217730,
1659 171966465, 176226305, 178258177, 201326593, 352845826, 356519938, 357564426, 402653186, 532676611, 84, 49152,
1660 73728, 135168, 264192, 525312, 1049088, 2097408, 4194432, 8388672, 16777248, 33554448, 67108872, 89391104,
1661 134217732, 176291841, 178258433, 268435457, 353370114, 356524034, 357564434, 369098754, 530579459, 42,
1662 139264, 266240, 526336, 1049600, 1392640, 2097664, 4194560, 8388736, 16777280, 33554464, 67108880, 134217736,
1663 176422913, 178258945, 184549377, 268435464, 354418690, 356532226, 357564450, 11, 21, 41, 81, 161, 321, 641,
1664 1281, 2561, 5121, 10241, 20481, 40961, 81921, 98304, 147456, 163841, 270336, 327681, 528384, 655361, 1050624,
1665 1310721, 2098176, 2621441, 4194816, 5242881, 8388864, 10485761, 16777344, 20971521, 33554496, 41943041,
1666 67108896, 83886081, 134217744, 176685057, 178259969, 178782211, 268435460, 356548610, 357564482, 402653185,
1667 447217667, 469762050, 525336579, 7, 22, 82, 162, 322, 642, 1282, 2562, 5122, 10242, 20482, 40962, 81922,
1668 163842, 278528, 327682, 532480, 655362, 696320, 1052672, 1310722, 2099200, 2621442, 4195328, 5242882,
1669 8389120, 10485762, 16777472, 20971522, 33554560, 41943042, 44695552, 67108928, 83886082, 134217760,
1670 167772162, 177209345, 178262017, 178782213, 234881025, 268435463, 268435478, 268435498, 268435538, 268435618,
1671 268435778, 268436098, 268436738, 268438018, 268440578, 268445698, 268455938, 268476418, 268517378, 268599298,
1672 268763138, 269090818, 269746178, 271056898, 273678338, 278921218, 289406978, 310378498, 335544321, 356581378,
1673 357564546, 360710146, 436207618, 14, 44, 164, 324, 644, 1284, 2564, 5124, 10244, 20484, 40964, 81924, 163844,
1674 196608, 294912, 327684, 540672, 655364, 1056768, 1310724, 2101248, 2621444, 4196352, 5242884, 8389632,
1675 10485764, 16777728, 20971524, 33554688, 41943044, 67108992, 83886084, 134217739, 134217749, 134217769,
1676 134217792, 134217809, 134217889, 134218049, 134218369, 134219009, 134220289, 134222849, 134227969, 134238209,
1677 134258689, 134299649, 134381569, 134545409, 134873089, 135528449, 136839169, 139460609, 144703489, 155189249,
1678 167772164, 178266113, 178782217, 218103809, 268435467, 268435472, 335544328, 356646914, 357564674, 13, 19,
1679 28, 88, 328, 648, 1288, 2568, 5128, 10248, 20488, 40968, 81928, 163848, 327688, 348160, 557056, 655368,
1680 1064960, 1310728, 2105344, 2621448, 4198400, 5242888, 8390656, 10485768, 16778240, 20971528, 33554944,
1681 41943048, 67109120, 83886088, 134217735, 134217856, 167772168, 178274305, 178782225, 180355073, 268435475,
1682 268435488, 335544324, 356777986, 357564930, 385875970, 402653191, 469762049, 514326531, 26, 35, 56, 176, 656,
1683 1296, 2576, 5136, 10256, 20496, 40976, 81936, 163856, 327696, 393216, 589824, 655376, 1081344, 1310736,
1684 2113536, 2621456, 4202496, 5242896, 8392704, 10485776, 16779264, 20971536, 22347776, 33555456, 41943056,
1685 67109376, 83886096, 134217984, 167772176, 178290689, 178782241, 268435470, 268435491, 268435520, 335544327,
1686 335544342, 335544362, 335544402, 335544482, 335544642, 335544962, 335545602, 335546882, 335549442, 335554562,
1687 335564802, 335585282, 335626242, 335708162, 335872002, 336199682, 336855042, 338165762, 340787202, 346030082,
1688 357040130, 357565442, 357826560, 357908482, 377487362, 402653195, 436207617, 503316482, 25, 37, 52, 67, 112,
1689 352, 1312, 2592, 5152, 10272, 20512, 40992, 81952, 163872, 174080, 327712, 655392, 1114112, 1310752, 2129920,
1690 2621472, 4210688, 5242912, 8396800, 10485792, 16781312, 20971552, 33556480, 41943072, 67109888, 83886112,
1691 134217741, 134217747, 134218240, 167772192, 178323457, 178782273, 192937985, 268435523, 268435584, 335544331,
1692 335544336, 357566466, 357826563, 402653203, 486539266, 534773763, 38, 69, 74, 104, 131, 224, 704, 2624, 5184,
1693 10304, 20544, 41024, 81984, 163904, 327744, 655424, 786432, 1179648, 1310784, 2162688, 2621504, 4227072,
1694 5242944, 8404992, 10485824, 16785408, 20971584, 33558528, 41943104, 67110912, 83886144, 134217763, 134218752,
1695 167772171, 167772181, 167772201, 167772224, 167772241, 167772321, 167772481, 167772801, 167773441, 167774721,
1696 167777281, 167782401, 167792641, 167813121, 167854081, 167936001, 168099841, 168427521, 169082881, 170393601,
1697 173015041, 178388993, 178782337, 188743681, 251658241, 268435482, 268435494, 268435587, 268435712, 335544339,
1698 335544352, 352321537, 357568514, 358612994, 402653219, 469762055, 533725187, 49, 70, 73, 133, 138, 148, 208,
1699 259, 448, 1408, 5248, 10368, 20608, 41088, 82048, 87040, 163968, 327808, 655488, 1310848, 2228224, 2621568,
1700 4259840, 5243008, 8421376, 10485888, 11173888, 16793600, 20971648, 33562624, 41943168, 67112960, 83886208,
1701 88080385, 134217753, 134217765, 134217795, 134219776, 167772167, 167772288, 176160770, 178520065, 178782465,
1702 178913280, 243269633, 268435526, 268435715, 268435968, 335544334, 335544355, 335544384, 352321544, 357572610,
1703 357826566, 402653251, 436207623, 444596226, 469762059, 492044291, 503316481, 50, 134, 137, 261, 266, 296,
1704 416, 515, 896, 2816, 20736, 41216, 82176, 164096, 327936, 655616, 1310976, 1572864, 2359296, 2621696,
1705 8454144, 10486016, 16809984, 20971776, 33570816, 44040193, 67117056, 83886336, 134217797, 167772416,
1706 178782721, 268435506, 268435530, 268435590, 268435971, 268436480, 335544387, 335544448, 352321540, 357826570,
1707 364904450, 402653315, 436207627, 469762067, 486539265 };
1709 static int cbest_30[1023] = {
1710 1, 2, 541065219, 4, 811597826, 8, 405798913, 16, 32, 64, 743964675, 128, 913047554, 256, 541065218,
1711 270532609, 3, 512, 456523777, 541065217, 6, 811597827, 5, 676331523, 12, 129, 405798912, 258, 811597824, 9,
1712 24, 516, 1024, 202899456, 541065223, 541065283, 10, 1032, 946864130, 48, 2064, 101449728, 879230978, 17,
1713 4128, 541065227, 811597858, 96, 8256, 50724864, 811597830, 20, 16512, 405798915, 18, 33, 192, 2048, 33024,
1714 25362432, 405798929, 473432065, 541065235, 769327107, 66048, 439615489, 743964674, 811597834, 132096,
1715 12681216, 405798917, 34, 40, 65, 264192, 541065251, 528384, 6340608, 743964673, 811597842, 384, 1056768,
1716 405798921, 36, 66, 4096, 2113536, 3170304, 371982337, 743964683, 80, 4227072, 1585152, 8454144, 777781251,
1717 68, 130, 768, 16908288, 541065347, 743964679, 760872963, 913047555, 792576, 33816576, 811597890, 917340162,
1718 160, 67633152, 405798945, 72, 132, 257, 8192, 396288, 135266304, 913047552, 1536, 270532608, 811597954,
1719 913047558, 260, 198144, 405798977, 727056387, 136, 456523776, 541065475, 743964691, 193, 386, 99072, 514,
1720 3072, 405799041, 541065216, 929955842, 144, 320, 513, 16384, 49536, 743964707, 921501698, 997588994, 264,
1721 520, 772, 541065315, 676331522, 811598082, 7, 24768, 270532611, 456523779, 458670081, 913047562, 385, 6144,
1722 228261888, 338165761, 541065221, 541065411, 541065731, 743964739, 811597825, 13, 1028, 1544, 12384,
1723 270532641, 541065222, 541065282, 676331521, 14, 259, 270532613, 270532673, 405799169, 541065346, 811597874,
1724 904593410, 913047570, 946864131, 25, 272, 517, 770, 1025, 1040, 6192, 202899457, 541065473, 743964803,
1725 879230979, 11, 26, 131, 640, 1026, 1033, 3088, 12288, 405798914, 456523781, 541065226, 541065231, 541065281,
1726 676331539, 811597828, 811597859, 811597922, 811598338, 28, 49, 528, 2065, 3096, 101449729, 270532617,
1727 405798928, 464977921, 473432064, 541065225, 676331555, 710148099, 811597831, 913047586, 946864128, 161, 288,
1728 518, 1540, 2056, 4129, 32768, 114130944, 202899458, 202899464, 405798937, 439615488, 460750849, 498794497,
1729 541065243, 541065735, 541066243, 676331527, 811597955, 879230976, 22, 52, 97, 133, 1034, 1548, 6176, 8257,
1730 50724865, 101449732, 405798916, 456523785, 541065234, 541065299, 541066251, 769327106, 811597856, 811598080,
1731 21, 50, 56, 262, 322, 2066, 2080, 16513, 24576, 50724866, 101449730, 236716032, 270532625, 405798961,
1732 405799040, 405799425, 541065267, 541067283, 642514947, 811597835, 811597838, 879230986, 913047618, 946864146,
1733 1014497282, 19, 774, 2049, 3080, 4130, 33025, 25362433, 202899460, 202899520, 219807744, 541065287,
1734 541069347, 676331531, 743964931, 811597832, 811597866, 879230994, 980680706, 44, 98, 104, 137, 644, 1036,
1735 8258, 12352, 66049, 101449760, 405798919, 405798920, 456523793, 541065233, 541065250, 541073475, 591790083,
1736 769327105, 811597850, 811598342, 811598850, 946864134, 946864194, 112, 266, 387, 2052, 2068, 4112, 16514,
1737 132097, 12681217, 50724880, 118358016, 371982336, 405798933, 452296705, 541065239, 541081731, 743964672,
1738 811597843, 811598858, 879230982, 896139266, 913047682, 35, 41, 194, 524, 544, 1056, 1280, 2050, 4132, 6160,
1739 33026, 264193, 25362434, 25362440, 57065472, 109903872, 405798925, 405798931, 405800961, 439615493,
1740 473432067, 473432073, 541065291, 541067267, 541073411, 541098243, 545357827, 566427651, 770400259, 811597862,
1741 811599890, 811601922, 42, 88, 100, 145, 208, 4160, 8260, 16385, 24704, 66050, 528385, 6340609, 12681220,
1742 50724868, 405799171, 439615491, 439615497, 456523809, 541065249, 541131267, 743964682, 743964687, 811601954,
1743 946864138, 38, 224, 274, 2072, 16516, 132098, 1056769, 6340610, 12681218, 59179008, 101449736, 185991168,
1744 405799429, 405799937, 473432097, 507248641, 539017219, 541065410, 541197315, 743964681, 805355522, 811597840,
1745 811606082, 862322690, 37, 67, 196, 532, 576, 1288, 4097, 4136, 12320, 33028, 49152, 65536, 264194, 2113537,
1746 3170305, 25362436, 54951936, 202899472, 405798923, 405799945, 473432069, 490340353, 541065259, 541329411,
1747 743964677, 743964699, 743965187, 743965699, 765165571, 769327111, 777781250, 811597846, 811614338, 81, 176,
1748 388, 1048, 8224, 8264, 49408, 66052, 528386, 4227073, 50724872, 384663553, 402677761, 405798944, 405800977,
1749 456523841, 541593603, 743964678, 760872962, 782073859, 811598018, 811599874, 811630850, 815890434, 836960258,
1750 70, 290, 16520, 32770, 132100, 1056770, 1585153, 4227074, 8454145, 29589504, 92995584, 101449744, 270532705,
1751 270532737, 371982341, 405803041, 448069633, 536903683, 541065603, 542121987, 743964802, 760872961, 811597891,
1752 811597986, 811663874, 913047810, 917340163, 69, 84, 200, 548, 769, 4098, 4104, 4144, 8320, 24640, 33032,
1753 264196, 2113538, 3170306, 8454146, 16908289, 27475968, 28532736, 202899488, 371982339, 405799009, 405807169,
1754 541065255, 541065539, 541069315, 543178755, 544235523, 676331587, 743964929, 769327115, 771440643, 777781249,
1755 809517058, 810573826, 811729922, 76, 82, 416, 1064, 2112, 8272, 66056, 528388, 792577, 6340612, 8454148,
1756 16908290, 33816577, 404758529, 405798976, 405798993, 405815425, 456523905, 541065345, 777781255, 811862018,
1757 913047553, 913047556, 913048066, 946864162, 134, 448, 641, 2096, 2560, 2576, 16528, 132104, 1056772, 1585154,
1758 12681224, 14794752, 16908292, 46497792, 67633153, 405799105, 405831937, 407945217, 431161345, 542650371,
1759 549519363, 760872967, 811597888, 812126210, 879231010, 913047559, 917340160, 73, 392, 580, 776, 1088, 4100,
1760 8193, 16448, 33040, 65540, 98304, 264200, 396289, 2113540, 3170308, 13737984, 16908296, 25362448, 33816580,
1761 135266305, 371982401, 388890625, 405864961, 473432081, 541065987, 557973507, 676331651, 727056386, 742404099,
1762 743965191, 758824963, 769327123, 777781267, 807436290, 811598210, 812654594, 74, 140, 352, 1096, 1537, 8288,
1763 66064, 98816, 528392, 792578, 4227076, 6340616, 33816578, 33816584, 50724896, 380436481, 403718145,
1764 405286913, 405931009, 418480129, 439615505, 541065474, 541857795, 574881795, 727056385, 743964690, 743965707,
1765 162, 168, 261, 1538, 2128, 16544, 132112, 198145, 1056776, 1585156, 7397376, 12681232, 23248896, 33816592,
1766 67633154, 67633160, 101449792, 270532865, 405798947, 405798953, 406063105, 456524033, 541065379, 608698371,
1767 676331571, 743444483, 743964723, 743966739, 794689539, 811597906, 811597952, 879231042, 913047566, 152, 832,
1768 1152, 4192, 8194, 24577, 33056, 49280, 131072, 264208, 396290, 2113544, 3170312, 6868992, 14266368, 25362464,
1769 67633168, 135266306, 202899584, 371982345, 406327297, 541065351, 541461507, 743964715, 743968803, 756711427,
1770 769327139, 786235395, 813182978, 820051970, 915259394, 917876738, 929955843, 138, 896, 1160, 1282, 5152,
1771 8208, 66080, 99073, 131080, 528400, 792580, 4227080, 6340624, 50724928, 67633184, 135266320, 270532610,
1772 405799297, 439615521, 456523778, 458670080, 541066755, 541077507, 743964689, 743964706, 743964771, 743972931,
1773 811597894, 811598594, 828506114, 913047683, 917340166, 921501699, 923713538, 929955840, 946864258, 997588995,
1774 164, 268, 400, 515, 645, 784, 1290, 1552, 2192, 2580, 3073, 4224, 5160, 10320, 16576, 16640, 20640, 41280,
1775 49154, 82560, 132128, 165120, 198146, 330240, 660480, 1056784, 1320960, 1585160, 2641920, 3698688, 5283840,
1776 8454152, 10567680, 11624448, 12681248, 21135360, 42270720, 67633156, 84541440, 101449856, 135266336,
1777 169082880, 338165760, 405798949, 405798979, 405803009, 541065314, 541065479, 541065601, 541263363, 725008387,
1778 742924291, 743964695, 743981187, 777781259, 811598083, 812390402, 845414402, 879231106, 913047808, 921501696,
1779 991346690, 997588992, 321, 3074, 4256, 8196, 33088, 49537, 196608, 264224, 396292, 2113552, 3170320, 3434496,
1780 25362496, 135266308, 135266368, 270532640, 270532657, 363528193, 371982353, 410025985, 473432129, 541065355,
1781 541065537, 541065729, 676331779, 743964867, 743966723, 743997699, 745037827, 748257283, 760872971, 769327171,
1782 811603970, 912267266, 913047563, 195, 265, 280, 521, 704, 773, 3076, 5120, 8384, 66112, 99074, 197632,
1783 528416, 792584, 4227088, 6340640, 50724992, 270532612, 270532672, 405799168, 414253057, 439615553, 541065220,
1784 541065730, 541164291, 727056419, 743964705, 743964738, 744030723, 811597898, 811597958, 811606018, 811994114,
1785 912787458, 913047560, 917340170, 148, 209, 324, 522, 1664, 24769, 32896, 132160, 198148, 262160, 1056800,
1786 1585168, 1849344, 5812224, 8454160, 12681280, 270532736, 270532801, 270533121, 405798981, 405799043,
1787 405799681, 405801985, 422707201, 541065313, 541068291, 541089795, 676331520, 722894851, 727056391, 741916675,
1788 743708675, 744096771, 811599362, 913047578, 913048070, 913048578, 918396930, 929955850, 146, 225, 418, 1546,
1789 2176, 2564, 6145, 8200, 10304, 16386, 33152, 49538, 98560, 264256, 396296, 1717248, 2113568, 3170336,
1790 7133184, 16908304, 25362560, 135266312, 202899712, 228261889, 371982369, 405799057, 406591489, 456523780,
1791 473432193, 541065363, 541081603, 541114755, 735510531, 744228867, 760872979, 769327235, 811597875, 811598019,
1792 811598086, 811598208, 811795970, 879231002, 904593411, 913047571, 913047574, 913048586, 197, 336, 1029, 1545,
1793 1568, 1792, 12385, 49153, 66176, 98308, 99076, 792592, 4227104, 270532615, 270532616, 456524289, 464977920,
1794 541065409, 541065472, 541065602, 541065991, 676331547, 743964737, 811597962, 811597987, 811598336, 811610114,
1795 912527362, 913049618, 917340178, 946864386 };
1797 static int cbest_31[1023] = {
1798 1, 2, 1073741828, 4, 536870914, 8, 268435457, 16, 32, 1207959556, 64, 128, 603979778, 256, 512, 301989889,
1799 1024, 2048, 4096, 1224736772, 8192, 16384, 32768, 612368386, 65536, 131072, 262144, 306184193, 524288,
1800 1048576, 2097152, 4194304, 1226833924, 8388608, 16777216, 33554432, 67108864, 613416962, 134217728,
1801 268435456, 306708481, 536870912, 3, 1073741824, 1073741829, 5, 536870915, 1073741830, 6, 9, 18, 36, 72, 144,
1802 288, 576, 1152, 2304, 4608, 9216, 18432, 36864, 73728, 147456, 294912, 589824, 1179648, 2359296, 4718592,
1803 9437184, 18874368, 37748736, 75497472, 150994944, 301989888, 1610612742, 10, 17, 268435459, 536870918,
1804 603979776, 1073741836, 1227096068, 1342177285, 12, 33, 268435461, 536870922, 805306371, 1073741844,
1805 1207959552, 1207959557, 20, 34, 65, 268435465, 536870930, 1073741860, 1207959558, 24, 66, 129, 268435473,
1806 536870946, 603979779, 1073741892, 1744830470, 40, 68, 130, 257, 268435489, 536870978, 1073741956, 1207959564,
1807 1476395013, 1677721606, 48, 132, 258, 513, 268435521, 536871042, 603979782, 613548034, 1073742084,
1808 1207959572, 80, 136, 260, 514, 1025, 268435585, 301989891, 536871170, 603979786, 872415235, 1073742340,
1809 1207959588, 1375731717, 96, 264, 516, 1026, 2049, 268435713, 301989893, 536871426, 603979794, 838860803,
1810 1073742852, 1207959620, 160, 272, 520, 1028, 2050, 4097, 268435969, 301989897, 306184192, 536871938,
1811 603979810, 612368384, 1073743876, 1207959684, 1224736768, 1224736773, 1811939334, 192, 528, 1032, 2052, 4098,
1812 8193, 153092096, 268436481, 301989905, 536872962, 603979842, 1073745924, 1207959812, 1224736774, 320, 544,
1813 1040, 2056, 4100, 8194, 16385, 76546048, 268437505, 301989921, 306774017, 536875010, 603979906, 1073750020,
1814 1207960068, 1509949445, 1761607686, 384, 1056, 2064, 4104, 8196, 16386, 32769, 38273024, 268439553,
1815 301989953, 536879106, 603980034, 612368387, 1073758212, 1207960580, 1224736780, 1493172229, 640, 1088, 2080,
1816 4112, 8200, 16388, 32770, 65537, 19136512, 268443649, 301990017, 536887298, 603980290, 905969667, 1073774596,
1817 1207961604, 1224736788, 1686110214, 768, 2112, 4128, 8208, 16392, 32772, 65538, 131073, 9568256, 268451841,
1818 301990145, 536903682, 603980802, 612368390, 1073807364, 1207963652, 1224736804, 1280, 2176, 4160, 8224,
1819 16400, 32776, 65540, 131074, 262145, 4784128, 268468225, 301990401, 536936450, 603981826, 612368394,
1820 880803843, 1073872900, 1207967748, 1224736836, 1536, 4224, 8256, 16416, 32784, 65544, 131076, 262146, 524289,
1821 2392064, 268500993, 301990913, 306184195, 537001986, 603983874, 612368402, 1074003972, 1207975940,
1822 1224736900, 1379926021, 1828716550, 2560, 4352, 8320, 16448, 32800, 65552, 131080, 262148, 524290, 1048577,
1823 1196032, 268566529, 301991937, 306184197, 537133058, 603987970, 612368418, 843055107, 1074266116, 1207992324,
1824 1224737028, 1227128836, 1820327942, 3072, 8448, 16512, 32832, 65568, 131088, 262152, 524292, 598016, 1048578,
1825 2097153, 268697601, 301993985, 306184201, 537395202, 603996162, 612368450, 1074790404, 1208025092,
1826 1224737284, 1526726661, 5120, 8704, 16640, 32896, 65600, 131104, 262160, 299008, 524296, 1048580, 2097154,
1827 4194305, 268959745, 301998081, 306184209, 537919490, 604012546, 612368514, 1075838980, 1208090628,
1828 1224737796, 1226833920, 1226833925, 6144, 16896, 33024, 65664, 131136, 149504, 262176, 524304, 1048584,
1829 2097156, 4194306, 8388609, 269484033, 302006273, 306184225, 538968066, 604045314, 612368642, 613416960,
1830 1077936132, 1208221700, 1224738820, 1226833926, 1514143749, 10240, 17408, 33280, 65792, 74752, 131200,
1831 262208, 524320, 1048592, 2097160, 4194308, 8388610, 16777217, 270532609, 302022657, 306184257, 306708480,
1832 541065218, 604110850, 612368898, 914358275, 1082130436, 1208483844, 1224740868, 1763704838, 12288, 33792,
1833 37376, 66048, 131328, 262272, 524352, 1048608, 2097168, 4194312, 8388612, 16777218, 33554433, 272629761,
1834 302055425, 306184321, 545259522, 604241922, 612369410, 910163971, 1090519044, 1209008132, 1224744964,
1835 1226833932, 1495269381, 18688, 20480, 34816, 66560, 131584, 262400, 524416, 1048640, 2097184, 4194320,
1836 8388616, 16777220, 33554434, 67108865, 153354240, 276824065, 302120961, 306184449, 553648130, 604504066,
1837 612370434, 613416963, 613564418, 1107296260, 1210056708, 1224753156, 1226833940, 9344, 24576, 67584, 132096,
1838 262656, 524544, 1048704, 2097216, 4194336, 8388624, 16777224, 33554436, 67108866, 134217729, 285212673,
1839 302252033, 306184705, 570425346, 605028354, 612372482, 1140850692, 1212153860, 1224769540, 1226833956,
1840 1687158790, 1837105158, 4672, 40960, 69632, 133120, 263168, 524800, 1048832, 2097280, 4194368, 8388640,
1841 16777232, 33554440, 67108868, 76677120, 134217730, 302514177, 306185217, 606076930, 612376578, 613416966,
1842 1216348164, 1224802308, 1226833988, 2336, 49152, 135168, 264192, 525312, 1049088, 2097408, 4194432, 8388672,
1843 16777248, 33554448, 67108872, 134217732, 268435458, 303038465, 306186241, 335544321, 608174082, 612384770,
1844 613416970, 671088642, 881852419, 1224867844, 1226834052, 1342177284, 1830813702, 1168, 81920, 139264, 266240,
1845 526336, 1049600, 2097664, 4194560, 8388736, 16777280, 33554464, 38338560, 67108880, 134217736, 268435460,
1846 304087041, 306188289, 402653185, 536870913, 612401154, 613416978, 805306370, 1224998916, 1226834180,
1847 1241513988, 1530920965, 584, 98304, 270336, 528384, 1050624, 2098176, 4194816, 8388864, 16777344, 33554496,
1848 67108896, 134217744, 268435464, 306192385, 306708483, 612433922, 613416994, 620756994, 1225261060,
1849 1226834436, 1275068420, 1380450309, 1528823813, 1610612740, 1821376518, 292, 163840, 278528, 532480, 1052672,
1850 2099200, 4195328, 8389120, 16777472, 19169280, 33554560, 67108928, 134217760, 268435472, 306200577,
1851 306708485, 306782209, 310378497, 536870916, 536870928, 612499458, 613417026, 637534210, 843579395,
1852 1073741825, 1225785348, 1226834948, 146, 196608, 540672, 1056768, 2101248, 4196352, 8389632, 16777728,
1853 33554688, 67108992, 134217792, 268435488, 306216961, 306708489, 318767105, 536870920, 612630530, 613417090,
1854 805306369, 918552579, 1073741826, 1073741831, 1073741856, 1226835972, 1476395012, 7, 19, 37, 73, 145, 289,
1855 577, 1153, 2305, 4609, 9217, 18433, 36865, 73729, 147457, 294913, 327680, 557056, 589825, 1064960, 1179649,
1856 2105344, 2359297, 4198400, 4718593, 8390656, 9437185, 9584640, 16778240, 18874369, 33554944, 37748737,
1857 67109120, 75497473, 134217856, 150994945, 268435520, 306249729, 306708497, 612892674, 613417218, 738197506,
1858 1226838020, 1228931076, 1610612738, 1610612743, 11, 38, 74, 290, 578, 1154, 2306, 4610, 9218, 18434, 36866,
1859 73730, 147458, 294914, 393216, 589826, 1081344, 1179650, 2113536, 2359298, 4202496, 4718594, 8392704,
1860 9437186, 16779264, 18874370, 33555456, 37748738, 67109376, 75497474, 134217984, 150994946, 268435584,
1861 301989890, 306315265, 306708513, 369098753, 536870919, 536870944, 603979777, 613417474, 872415234, 915406851,
1862 1073741832, 1073741837, 1073741846, 1073741900, 1073741972, 1073742116, 1073742404, 1073742980, 1073744132,
1863 1073746436, 1073751044, 1073760260, 1073778692, 1073815556, 1073889284, 1074036740, 1074331652, 1074921476,
1864 1076101124, 1078460420, 1083179012, 1092616196, 1111490564, 1149239300, 1226842116, 1227096064, 1227096069,
1865 1233125380, 1342177281, 1375731716, 1514668037, 1744830468, 13, 22, 76, 148, 580, 1156, 2308, 4612, 9220,
1866 18436, 36868, 73732, 147460, 294916, 589828, 655360, 1114112, 1179652, 2129920, 2359300, 4210688, 4718596,
1867 4792320, 8396800, 9437188, 16781312, 18874372, 33556480, 37748740, 67109888, 75497476, 134218240, 150994948,
1868 268435712, 301989892, 306446337, 306708545, 436207617, 536870923, 536870950, 536870976, 536870986, 536871058,
1869 536871202, 536871490, 536872066, 536873218, 536875522, 536880130, 536889346, 536907778, 536944642, 537018370,
1870 537165826, 537460738, 538050562, 539230210, 541589506, 546308098, 555745282, 574619650, 613417986, 614465538,
1871 687865858, 838860802, 1073741838, 1073741840, 1073741845, 1207959553, 1226850308, 1227096070, 1342177287,
1872 1677721604, 14, 21, 26, 35, 44, 152, 296, 1160, 2312, 4616, 9224, 18440, 36872, 73736, 147464, 294920,
1873 589832, 786432, 1179656, 2162688, 2359304, 4227072, 4718600, 8404992, 9437192, 16785408, 18874376, 33558528,
1874 37748744, 67110912, 75497480, 134218752, 150994952, 268435463, 268435475, 268435493, 268435529, 268435601,
1875 268435745, 268435968, 268436033, 268436609, 268437761, 268440065, 268444673, 268453889, 268472321, 268509185,
1876 268582913, 268730369, 269025281, 269615105, 270794753, 273154049, 277872641, 287309825, 301989896, 306708609,
1877 343932929, 419430401, 536870931, 536871040, 603979780, 603979792, 613419010, 613548032, 616562690, 910688259,
1878 1073741861, 1207959554, 1207959559, 1207959584, 1226866692, 1258291204, 1610612750, 1763966982, 1839202310,
1879 1879048199, 25, 52, 67, 88, 304, 592, 2320, 4624, 9232, 18448, 36880, 73744, 147472, 294928, 589840, 1179664,
1880 1310720, 2228224, 2359312, 2396160, 4259840, 4718608, 8421376, 9437200, 16793600, 18874384, 33562624,
1881 37748752, 67112960, 75497488, 134219776, 150994960, 268435467, 268436480, 301989904, 306708737, 307232769,
1882 536870926, 536870947, 536871168, 603979784, 613421058, 805306375, 872415233, 1073741862, 1073741888,
1883 1073741893, 1226899460, 1227096076, 1291845636, 1342177293, 1495531525, 1610612758, 1744830466, 1744830471,
1884 1838153734, 41, 50, 69, 104, 131, 176, 608, 18464, 73760, 147488, 589856, 1179680, 1572864, 2359328, 4325376,
1885 4718624, 8454144, 9437216, 16809984, 18874400, 33570816, 67117056, 75497504, 134221824, 301989920, 306708993,
1886 306774016, 308281345, 536870934, 536870979, 629145602, 805306379, 1073741894, 1073741952, 1207959560,
1887 1207959700, 1207959844, 1207960708, 1207961860, 1207964164, 1207968772, 1207977988, 1207996420, 1208033284,
1888 1208107012, 1208549380, 1209139204, 1210318852, 1212678148, 1217396740, 1226964996, 1283457028, 1342177301,
1889 1476395009, 1509949444, 1610612774, 1677721607 };
1891 static unsigned int cbest_32[1023] = {
1892 1, 2149580803, 2, 4, 3224371202, 8, 1612185601, 16, 32, 2955673603, 64, 128, 256, 3627417602, 512, 1024,
1893 2149580802, 1074790401, 1813708801, 3, 2149580801, 2048, 3224371203, 6, 2686976003, 5, 12, 1612185600,
1894 3224371200, 2149580807, 9, 24, 806092800, 3761766402, 10, 1025, 4096, 3493068802, 48, 2050, 403046400,
1895 2149580811, 2149581315, 17, 4100, 3056435203, 3224371206, 96, 8200, 201523200, 20, 16400, 1612185603,
1896 2149580819, 3224371458, 18, 33, 192, 32800, 100761600, 1880883201, 2955673602, 3224371210, 8192, 65600,
1897 1746534401, 384, 131200, 50380800, 1612185605, 2149580835, 34, 40, 65, 262400, 1612185729, 2955673601,
1898 3224371218, 768, 524800, 25190400, 1049600, 1612185609, 2149580867, 36, 66, 129, 1536, 2099200, 12595200,
1899 1477836801, 3224371234, 80, 16384, 4198400, 3090022403, 6297600, 8396800, 1612185617, 2149580931, 2955673607,
1900 2955673667, 3022848003, 3627417603, 68, 130, 257, 16793600, 3224371266, 3677798402, 3148800, 33587200, 160,
1901 3072, 67174400, 1612185633, 2149581059, 2955673611, 3627417600, 72, 132, 258, 513, 1574400, 134348800,
1902 3224371330, 32768, 268697600, 2888499203, 787200, 537395200, 1612185665, 2955673619, 136, 260, 320, 514,
1903 6144, 1074790400, 1813708800, 3627417634, 393600, 3627417606, 3694592002, 2149581827, 2955673635, 3661004802,
1904 3963289602, 144, 264, 516, 1026, 1537, 3074, 196800, 2149580800, 3224371714, 640, 12288, 65536, 3627417610,
1905 98400, 1612185857, 2149581571, 2686976002, 272, 520, 1028, 2049, 6148, 906854400, 3224372226, 7, 49200,
1906 1074790403, 1813708803, 1838899201, 2149580805, 2149582339, 3224371201, 3593830402, 3627417618, 1280, 2052,
1907 3073, 24576, 1343488001, 1612186113, 1813708817, 2149580806, 2149582851, 2686976001, 2955673731, 13, 288,
1908 528, 1032, 12296, 24600, 3224371586, 3761766403, 14, 131072, 1074790405, 1813708805, 3493068803, 25, 4098,
1909 6146, 12300, 806092801, 1612186625, 1847296001, 2149580810, 2149580815, 2149581314, 2955673859, 3224371204,
1910 3224371970, 11, 26, 544, 1040, 4097, 24592, 49152, 453427200, 1074790657, 1612185602, 1830502401, 1981644801,
1911 2149580809, 2149581826, 2821324803, 3056435202, 3224371207, 3224373250, 3761766400, 28, 49, 2051, 2056, 4104,
1912 6150, 403046401, 1074790409, 1074790913, 1813708809, 1880883200, 2149580827, 2149582849, 2686976007,
1913 3493068800, 3627417666, 4101, 12292, 806092802, 1612185793, 1746534400, 2149580818, 2149581313, 2149584899,
1914 2686976131, 2955674115, 3224371459, 22, 52, 97, 576, 1027, 1056, 2560, 3075, 8201, 49184, 201523201,
1915 1612185604, 2149580851, 2552627203, 2686976259, 3056435201, 3224371211, 3224371214, 4030464002, 21, 50, 56,
1916 8196, 16401, 98304, 262144, 403046402, 940441600, 1074790417, 1612185728, 1612185985, 2149584903, 2686976011,
1917 3224371208, 3224372227, 3627417730, 3896115202, 19, 193, 4102, 24584, 32801, 100761601, 806092804, 806092864,
1918 873267200, 1612187649, 1796915201, 2149580817, 2149580834, 2149580899, 2149582338, 2149589003, 2351104003,
1919 2955674627, 3056435211, 3224371226, 3224371456, 3224373248, 3761766406, 44, 98, 104, 1029, 1088, 2064, 8193,
1920 8202, 8208, 65601, 98368, 201523202, 226713600, 403046432, 1612185607, 1612185608, 2149580823, 2149597203,
1921 2955673600, 3224371219, 3224375298, 3493068806, 3493068866, 3560243202, 3761766530, 112, 385, 2054, 8194,
1922 16402, 131201, 50380801, 201523216, 403046404, 470220800, 1074790433, 1477836800, 1612186624, 1813708833,
1923 2149580995, 2149581319, 2149613603, 2250342403, 2686976019, 3224371250, 3493068930, 3627417858, 35, 41, 194,
1924 1281, 4112, 32802, 49168, 196608, 262401, 100761602, 100761608, 436633600, 806092808, 806093312, 1612185613,
1925 1880883203, 2149580833, 2149580866, 2149581443, 2149588995, 2149646403, 2955673699, 3056435207, 3224375302,
1926 3761766410, 3761766914, 42, 88, 100, 208, 769, 1033, 1152, 2080, 8204, 16392, 65602, 196736, 524801,
1927 25190401, 50380804, 201523204, 403046656, 1074791169, 1612185616, 1746534403, 2149581187, 2149712003,
1928 2199961603, 3069030403, 3224371216, 3224371235, 3224371298, 3224379402, 3425894402, 3493068810, 38, 224, 386,
1929 2058, 2562, 5120, 16404, 131202, 524288, 1049601, 25190402, 50380802, 201523328, 235110400, 403046408,
1930 738918400, 1074790465, 1528217601, 1612185625, 1813708865, 2015232001, 2149580843, 2149581323, 2149843203,
1931 2686976035, 2955673605, 2955673795, 3073228803, 3090022402, 3224371222, 3224371462, 3224371522, 3224387602,
1932 3627418114, 37, 67, 196, 4108, 16416, 32804, 98336, 262402, 2099201, 12595201, 100761604, 100761664,
1933 218316800, 806092816, 1612185611, 1612185731, 1612189697, 1746534433, 1880883205, 1880883265, 1948057601,
1934 2147485699, 2149580865, 2149580930, 2150105603, 2174771203, 2955673606, 2955673666, 2955675651, 3022848002,
1935 3064832003, 3140403203, 3224371394, 3224404002, 3325132802, 3761766418, 81, 176, 416, 770, 1041, 2112, 5124,
1936 16385, 65604, 393216, 393472, 524802, 2099202, 4198401, 50380832, 113356800, 201523208, 1612185632,
1937 1612185649, 1612187651, 1746534405, 1746534465, 2150630403, 3223323650, 3224371232, 3224371267, 3224379394,
1938 3224436802, 3493068818, 3677798403, 70, 388, 448, 2066, 16408, 131204, 1049602, 4198402, 6297601, 8396801,
1939 25190416, 117555200, 369459200, 403046416, 1074790529, 1612185761, 1612189701, 1780121601, 1813708929,
1940 1880883457, 2149580839, 2149581331, 2151684099, 2162176003, 2686976067, 3090022401, 3224371466, 3224502402,
1941 3274752002, 3627418626, 69, 84, 131, 200, 1538, 4116, 16388, 32784, 32808, 196672, 262404, 4198404, 8396802,
1942 12595202, 12595208, 16793601, 109158400, 806092832, 1477836803, 1611661825, 1612185697, 1612185733,
1943 1612193801, 1880883209, 2149580883, 2149580929, 2149581058, 2149597187, 2153779203, 2686976387, 2955673610,
1944 2955673615, 2955673665, 3022848001, 3056435219, 3224371242, 3224633602, 3627417601, 3761766434, 76, 82, 352,
1945 772, 832, 1057, 2176, 4128, 8216, 8224, 16386, 65608, 524804, 786944, 3148801, 6297604, 8396804, 25190404,
1946 33587201, 1612185621, 1612185664, 1612202001, 1746534409, 2148535299, 2157977603, 2955673609, 2955674626,
1947 3221228546, 3222276098, 3224371264, 3224371331, 3224896002, 3249561602, 3493068834, 3677798400, 134, 161,
1948 392, 896, 2082, 32832, 131208, 786432, 1048576, 1049604, 3148802, 6297602, 8396808, 16793604, 50380808,
1949 58777600, 67174401, 184729600, 1477836833, 1612185619, 1612218401, 1712947201, 1813709057, 2149580871,
1950 2149581347, 2166374403, 2888499202, 2955673627, 2955675649, 3048038403, 3224371474, 3627417650, 3677798406,
1951 73, 133, 259, 1540, 4132, 10248, 32816, 262408, 393344, 1574401, 2099204, 12595204, 16793602, 16793608,
1952 54579200, 100761616, 134348801, 1477836805, 1545011201, 1611138049, 1612185737, 1612193793, 1612251201,
1953 1880883217, 2149581057, 2183168003, 2955411715, 2955673618, 2955673683, 2955677699, 3022848019, 3056435235,
1954 3090022435, 3224371238, 3224372738, 3226474498, 3236966402, 3761766466, 74, 140, 704, 776, 1089, 1664, 2304,
1955 3076, 4160, 8232, 10240, 32769, 65616, 524808, 1573888, 16793616, 25190408, 33587202, 33587208, 56678400,
1956 201523232, 268697601, 1511424001, 1610614273, 1612316801, 1662566401, 1746534417, 2149580963, 2149583875,
1957 2216755203, 2955673651, 3022848035, 3090022407, 3157196803, 3224371282, 3224371328, 3224372482, 3224387586,
1958 3228569602, 3627417604, 3627417635, 3627417698, 162, 168, 262, 400, 1792, 2114, 16432, 65568, 131216, 787201,
1959 1049608, 29388800, 33587216, 50380816, 67174402, 92364800, 403046464, 537395201, 1612185635, 1612185641,
1960 1612448001, 1813709313, 2149580875, 2149580935, 2149581379, 2149583363, 2151155203, 2283929603, 2888499201,
1961 2955673671, 2955677703, 3022848007, 3090022531, 3123609603, 3223848450, 3224371490, 3232768002, 3627417607,
1962 3627419650, 3694592003, 137, 152, 261, 321, 515, 1544, 4164, 6145, 262416, 786688, 1572864, 1574402, 2099208,
1963 27289600, 33587232, 67174416, 100761632, 134348802, 806092928, 1477836809, 1477837313, 1612185745,
1964 1612186369, 1637376001, 1880883233, 2149613571, 2418278403, 2955149827, 2955673617, 2955673634, 2955681803,
1965 3056435267, 3224371270, 3241164802, 3661004803, 3963289603, 138, 268, 784, 1153, 1408, 4224, 8264, 32770,
1966 32776, 65632, 65664, 393601, 524816, 3147776, 3148804, 4198408, 33587204, 67174432, 201523264, 268697602,
1967 1612185856, 1612186241, 2150368003, 2913689603, 2955673623, 2955690003, 3039641603, 3090022411, 3224371715,
1968 3257958402, 3493068994, 3627417632, 164, 518, 2178, 5121, 16448, 16464, 20496, 131232, 787202, 1049616,
1969 6297608, 14694400, 46182400, 67174404, 67174464, 134348832, 403046528, 537395202, 1074791425, 1612185637,
1970 1612185667, 1612187137, 1613237249, 1614284801, 1624780801, 1813709825, 2149580939, 2149581063, 2149581123,
1971 2149586947, 2686976515, 2888499219, 2954887939, 2955673675, 2955706403, 3022848011, 3224371362, 3224374274,
1972 3291545602, 3627286658, 3627417611, 3627417614, 3694592000, 145, 265, 280, 322, 517, 1552, 3080, 4228, 6152,
1973 32864, 196801, 262432, 1573376, 1574404, 2097152, 2099216, 12595216, 13644800, 134348804, 134348864,
1974 806093056, 1074790402, 1444249601, 1477836817, 1612185681, 1612201985, 1616384001, 1813708802, 1838899200,
1975 2149581570, 2149581825, 2149583873, 2149974403, 2955673633, 2955681795, 2955739203, 3056435331, 3224371274,
1976 3224371334, 3358720002, 3627417608, 3627417642, 3627418627, 3661004800, 3677798410, 3679901698, 3686195202,
1977 3761766658, 3963289600, 266, 336, 524, 641, 800, 3328, 4352, 5125, 8256, 8328, 10250, 12289, 20500, 32772,
1978 41000, 65537, 82000, 131136, 164000, 328000, 393602, 524832, 656000, 1312000, 2624000, 3148808, 4198416,
1979 5248000, 10496000, 20992000, 25190432, 28339200, 41984000, 83968000, 134348928, 167936000, 268697604,
1980 268697664, 335872000, 671744000, 1343488000, 1611924225, 1612186112, 1618483201, 1620582401, 1813708816,
1981 2149583361, 2955673987, 2955804803, 3006054403, 3090022419, 3224371712, 3224403970, 3493069058, 3627417626,
1982 3627419648, 3681996802, 3719782402, 148, 304, 2306, 3584, 12290, 16528, 98401, 131264, 787204, 1049632,
1983 3145728, 6297616, 8396816, 23091200, 50380864, 67174408, 268697728, 1074790785, 1612185669, 1813708825 };
