A = [
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
];
B = [
0 0 0
 19379 15652 3727
 31264 26571 4693
 33259 27523 5736
 28900 24248 4652
 37606 32512 5094
 43476 37645 5831
 73391 63875 9516
 83673 74004 9669
 201012 175948 25064
 270363 235707 34656
 86203 74180 12023
 79687 67727 11960
 67406 56285 11121
 43888 36502 7386
 57124 48211 8913
 15283 12552 2731
 17127 14145 2982
 21962 18064 3898
 43472 35981 7491
 57433 47674 9759
 51353 43415 7938
 33370 28375 4995
 189066 165462 23604
 52115 44416 7699
 94455 81062 13393
 271739 236874 34865
 174744 144904 29840
 82980 71457 11523
 48416 41474 6942
 56024 47897 8127
 67658 57706 9952
 45295 38620 6675
 100083 84840 15243
 49068 42090 6978
 144055 124139 19916
 56055 48053 8002
 67060 57224 9836
 202299 174415 27884
 89287 74554 14733
 48521 41738 6783
 65112 55696 9416
 56573 48691 7882
 65616 56364 9252
 54143 46520 7623
 40587 34484 6103
 150066 128865 21201
 43157 36479 6678
 118781 96648 22133
 89108 76530 12578
 38474 32856 5618
 192682 165462 27220
 46102 39470 6632
 53422 45681 7741
 178806 146672 32134
 36752 31383 5369
 92160 78713 13447
 35280 30158 5122
 108396 92635 15761
 76572 65071 11501
 44537472 37724417 6813055
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 0 0 0
 
];
D = [
481 225 64 114
117 39 13 26
202 36 28 14
232 102 22 34
197 277 29 45
205 608 182 178
263 433 57 88
231 120 104 121
249 95 212 233
269 115 305 345
388 160 581 593
25752 265 849 857
126587 389 1223 1249
493708 785 2679 2750
1529940 1497 2665 2650
3560665 3841 4132 4150
4584179 8275 7315 7345
2263247 13189 11581 11699
301392 16160 16316 16093
37968 17881 20221 20467
30576 21544 24052 23797
33905 26833 28073 28260
38989 32646 32506 32238
47167 37654 37114 37228
55789 42701 42102 41855
63369 47561 46794 47295
70845 52273 52927 52379
80203 55488 56957 57105
83699 61956 62890 62672
88132 70928 71341 71863
94682 78048 79919 80874
100293 88554 88955 89600
108021 97506 98587 99027
114502 106774 108108 107878
121988 116528 116813 117660
129125 125981 127505 126856
140884 136956 137401 137964
148628 147514 148542 147711
163154 158981 158955 159074
174540 170405 170234 170496
184153 181704 181979 181526
195347 194168 193388 193426
207347 207658 206900 207303
219976 219118 219287 218998
234335 234425 234698 234136
247925 247818 248361 248934
261437 260768 260836 261749
273167 270999 272366 272499
284512 284773 284337 284191
290706 289525 290254 289711
288672 288040 288917 288968
286879 286328 286049 286883
280083 279620 279863 280499
262967 263608 263101 263396
243479 244302 243309 243971
224340 223343 223276 224577
201546 200849 201253 201502
178135 177705 177309 177642
158651 160219 158603 159551
129370 129264 129140 129277
100918 100252 101139 100582
95135 95184 94402 95459
72193 72203 71869 72466
67401 66817 66975 66567
61360 60054 60839 60575
41312 41377 40927 40536
35414 35288 35442 35723
20531 20558 20479 20539
19584 19314 19254 19569
29916 30132 29590 29738
83047 82941 83028 83381
73406 73449 72810 73996
76710 76432 76884 77098
10193 10051 9979 9968
233 265 254 230
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0

];x = [
10 12 15 19 23 28 35 43 53 66 81 100 123 152 187 231 285 351 433 534 658 811 1000 1233 1520 1874 2310 2848 3511 4329 5337 6579 8111 10000 12328 15199 18738 23101 28480 35112 43288 53367 65793 81113 100000 123285 151991 187382 231013 284804 351119 432876 533670 657933 811131 1000000 1232847 1519911 1873817 2310130 2848036 3511192 4328761 5336699 6579332 8111308 10000000 12328467 15199111 18738174 23101297 28480359 35111917 43287613 53366992 65793322 81113083 100000000 123284674 151991108 187381742 231012970 284803587 351119173 432876128 533669923 657933225 811130831 1000000000 1232846739 1519911083 1873817423 2310129700 2848035868 3511191734 4328761281 5336699231 6579332247 8111308308 10000000000 
];
