# Computed by Robert Israel using Maple, May 19 2024
1 1
2 11
3 101
4 111
5 1001
6 1101
7 1011
8 1111
9 10001
10 11001
11 10101
12 11101
13 10011
14 11011
15 10111
16 11111
17 100001
18 110001
19 101001
20 111001
21 100101
22 110101
23 101101
24 111101
25 100011
26 110011
27 101011
28 111011
29 100111
30 110111
31 101111
32 111111
33 1000001
34 1100001
35 1010001
36 1110001
37 1001001
38 1101001
39 1011001
40 1111001
41 1000101
42 1100101
43 1010101
44 1110101
45 1001101
46 1101101
47 1011101
48 1111101
49 1000011
50 1100011
51 1010011
52 1110011
53 1001011
54 1101011
55 1011011
56 1111011
57 1000111
58 1100111
59 1010111
60 1110111
61 1001111
62 1101111
63 1011111
64 1111111
65 10000001
66 11000001
67 10100001
68 11100001
69 10010001
70 11010001
71 10110001
72 11110001
73 10001001
74 11001001
75 10101001
76 11101001
77 10011001
78 11011001
79 10111001
80 11111001
81 10000101
82 11000101
83 10100101
84 11100101
85 10010101
86 11010101
87 10110101
88 11110101
89 10001101
90 11001101
91 10101101
92 11101101
93 10011101
94 11011101
95 10111101
96 11111101
97 10000011
98 11000011
99 10100011
100 11100011
101 10010011
102 11010011
103 10110011
104 11110011
105 10001011
106 11001011
107 10101011
108 11101011
109 10011011
110 11011011
111 10111011
112 11111011
113 10000111
114 11000111
115 10100111
116 11100111
117 10010111
118 11010111
119 10110111
120 11110111
121 10001111
122 11001111
123 10101111
124 11101111
125 10011111
126 11011111
127 10111111
128 11111111
129 100000001
130 110000001
131 101000001
132 111000001
133 100100001
134 110100001
135 101100001
136 111100001
137 100010001
138 110010001
139 101010001
140 111010001
141 100110001
142 110110001
143 101110001
144 111110001
145 100001001
146 110001001
147 101001001
148 111001001
149 100101001
150 110101001
151 101101001
152 111101001
153 100011001
154 110011001
155 101011001
156 111011001
157 100111001
158 110111001
159 101111001
160 111111001
161 100000101
162 110000101
163 101000101
164 111000101
165 100100101
166 110100101
167 101100101
168 111100101
169 100010101
170 110010101
171 101010101
172 111010101
173 100110101
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175 101110101
176 111110101
177 100001101
178 110001101
179 101001101
180 111001101
181 100101101
182 110101101
183 101101101
184 111101101
185 100011101
186 110011101
187 101011101
188 111011101
189 100111101
190 110111101
191 101111101
192 111111101
193 100000011
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195 101000011
196 111000011
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200 111100011
201 100010011
202 110010011
203 101010011
204 111010011
205 100110011
206 110110011
207 101110011
208 111110011
209 100001011
210 110001011
211 101001011
212 111001011
213 100101011
214 110101011
215 101101011
216 111101011
217 100011011
218 110011011
219 101011011
220 111011011
221 100111011
222 110111011
223 101111011
224 111111011
225 100000111
226 110000111
227 101000111
228 111000111
229 100100111
230 110100111
231 101100111
232 111100111
233 100010111
234 110010111
235 101010111
236 111010111
237 100110111
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239 101110111
240 111110111
241 100001111
242 110001111
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244 111001111
245 100101111
246 110101111
247 101101111
248 111101111
249 100011111
250 110011111
251 101011111
252 111011111
253 100111111
254 110111111
255 101111111
256 111111111
257 1000000001
258 1100000001
259 1010000001
260 1110000001
261 1001000001
262 1101000001
263 1011000001
264 1111000001
265 1000100001
266 1100100001
267 1010100001
268 1110100001
269 1001100001
270 1101100001
271 1011100001
272 1111100001
273 1000010001
274 1100010001
275 1010010001
276 1110010001
277 1001010001
278 1101010001
279 1011010001
280 1111010001
281 1000110001
282 1100110001
283 1010110001
284 1110110001
285 1001110001
286 1101110001
287 1011110001
288 1111110001
289 1000001001
290 1100001001
291 1010001001
292 1110001001
293 1001001001
294 1101001001
295 1011001001
296 1111001001
297 1000101001
298 1100101001
299 1010101001
300 1110101001
301 1001101001
302 1101101001
303 1011101001
304 1111101001
305 1000011001
306 1100011001
307 1010011001
308 1110011001
309 1001011001
310 1101011001
311 1011011001
312 1111011001
313 1000111001
314 1100111001
315 1010111001
316 1110111001
317 1001111001
318 1101111001
319 1011111001
320 1111111001
321 1000000101
322 1100000101
323 1010000101
324 1110000101
325 1001000101
326 1101000101
327 1011000101
328 1111000101
329 1000100101
330 1100100101
331 1010100101
332 1110100101
333 1001100101
334 1101100101
335 1011100101
336 1111100101
337 1000010101
338 1100010101
339 1010010101
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341 1001010101
342 1101010101
343 1011010101
344 1111010101
345 1000110101
346 1100110101
347 1010110101
348 1110110101
349 1001110101
350 1101110101
351 1011110101
352 1111110101
353 1000001101
354 1100001101
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356 1110001101
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359 1011001101
360 1111001101
361 1000101101
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363 1010101101
364 1110101101
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366 1101101101
367 1011101101
368 1111101101
369 1000011101
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372 1110011101
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375 1011011101
376 1111011101
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378 1100111101
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380 1110111101
381 1001111101
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384 1111111101
385 1000000011
386 1100000011
387 1010000011
388 1110000011
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390 1101000011
391 1011000011
392 1111000011
393 1000100011
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395 1010100011
396 1110100011
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399 1011100011
400 1111100011
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402 1100010011
403 1010010011
404 1110010011
405 1001010011
406 1101010011
407 1011010011
408 1111010011
409 1000110011
410 1100110011
411 1010110011
412 1110110011
413 1001110011
414 1101110011
415 1011110011
416 1111110011
417 1000001011
418 1100001011
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420 1110001011
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422 1101001011
423 1011001011
424 1111001011
425 1000101011
426 1100101011
427 1010101011
428 1110101011
429 1001101011
430 1101101011
431 1011101011
432 1111101011
433 1000011011
434 1100011011
435 1010011011
436 1110011011
437 1001011011
438 1101011011
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440 1111011011
441 1000111011
442 1100111011
443 1010111011
444 1110111011
445 1001111011
446 1101111011
447 1011111011
448 1111111011
449 1000000111
450 1100000111
451 1010000111
452 1110000111
453 1001000111
454 1101000111
455 1011000111
456 1111000111
457 1000100111
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459 1010100111
460 1110100111
461 1001100111
462 1101100111
463 1011100111
464 1111100111
465 1000010111
466 1100010111
467 1010010111
468 1110010111
469 1001010111
470 1101010111
471 1011010111
472 1111010111
473 1000110111
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476 1110110111
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480 1111110111
481 1000001111
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483 1010001111
484 1110001111
485 1001001111
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487 1011001111
488 1111001111
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491 1010101111
492 1110101111
493 1001101111
494 1101101111
495 1011101111
496 1111101111
497 1000011111
498 1100011111
499 1010011111
500 1110011111
501 1001011111
502 1101011111
503 1011011111
504 1111011111
505 1000111111
506 1100111111
507 1010111111
508 1110111111
509 1001111111
510 1101111111
511 1011111111
512 1111111111
513 10000000001
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515 10100000001
516 11100000001
517 10010000001
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519 10110000001
520 11110000001
521 10001000001
522 11001000001
523 10101000001
524 11101000001
525 10011000001
526 11011000001
527 10111000001
528 11111000001
529 10000100001
530 11000100001
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532 11100100001
533 10010100001
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536 11110100001
537 10001100001
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539 10101100001
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545 10000010001
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552 11110010001
553 10001010001
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559 10111010001
560 11111010001
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563 10100110001
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567 10110110001
568 11110110001
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571 10101110001
572 11101110001
573 10011110001
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575 10111110001
576 11111110001
577 10000001001
578 11000001001
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580 11100001001
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582 11010001001
583 10110001001
584 11110001001
585 10001001001
586 11001001001
587 10101001001
588 11101001001
589 10011001001
590 11011001001
591 10111001001
592 11111001001
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596 11100101001
597 10010101001
598 11010101001
599 10110101001
600 11110101001
601 10001101001
602 11001101001
603 10101101001
604 11101101001
605 10011101001
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607 10111101001
608 11111101001
609 10000011001
610 11000011001
611 10100011001
612 11100011001
613 10010011001
614 11010011001
615 10110011001
616 11110011001
617 10001011001
618 11001011001
619 10101011001
620 11101011001
621 10011011001
622 11011011001
623 10111011001
624 11111011001
625 10000111001
626 11000111001
627 10100111001
628 11100111001
629 10010111001
630 11010111001
631 10110111001
632 11110111001
633 10001111001
634 11001111001
635 10101111001
636 11101111001
637 10011111001
638 11011111001
639 10111111001
640 11111111001
641 10000000101
642 11000000101
643 10100000101
644 11100000101
645 10010000101
646 11010000101
647 10110000101
648 11110000101
649 10001000101
650 11001000101
651 10101000101
652 11101000101
653 10011000101
654 11011000101
655 10111000101
656 11111000101
657 10000100101
658 11000100101
659 10100100101
660 11100100101
661 10010100101
662 11010100101
663 10110100101
664 11110100101
665 10001100101
666 11001100101
667 10101100101
668 11101100101
669 10011100101
670 11011100101
671 10111100101
672 11111100101
673 10000010101
674 11000010101
675 10100010101
676 11100010101
677 10010010101
678 11010010101
679 10110010101
680 11110010101
681 10001010101
682 11001010101
683 10101010101
684 11101010101
685 10011010101
686 11011010101
687 10111010101
688 11111010101
689 10000110101
690 11000110101
691 10100110101
692 11100110101
693 10010110101
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695 10110110101
696 11110110101
697 10001110101
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699 10101110101
700 11101110101
701 10011110101
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703 10111110101
704 11111110101
705 10000001101
706 11000001101
707 10100001101
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710 11010001101
711 10110001101
712 11110001101
713 10001001101
714 11001001101
715 10101001101
716 11101001101
717 10011001101
718 11011001101
719 10111001101
720 11111001101
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722 11000101101
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725 10010101101
726 11010101101
727 10110101101
728 11110101101
729 10001101101
730 11001101101
731 10101101101
732 11101101101
733 10011101101
734 11011101101
735 10111101101
736 11111101101
737 10000011101
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739 10100011101
740 11100011101
741 10010011101
742 11010011101
743 10110011101
744 11110011101
745 10001011101
746 11001011101
747 10101011101
748 11101011101
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750 11011011101
751 10111011101
752 11111011101
753 10000111101
754 11000111101
755 10100111101
756 11100111101
757 10010111101
758 11010111101
759 10110111101
760 11110111101
761 10001111101
762 11001111101
763 10101111101
764 11101111101
765 10011111101
766 11011111101
767 10111111101
768 11111111101
769 10000000011
770 11000000011
771 10100000011
772 11100000011
773 10010000011
774 11010000011
775 10110000011
776 11110000011
777 10001000011
778 11001000011
779 10101000011
780 11101000011
781 10011000011
782 11011000011
783 10111000011
784 11111000011
785 10000100011
786 11000100011
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790 11010100011
791 10110100011
792 11110100011
793 10001100011
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800 11111100011
801 10000010011
802 11000010011
803 10100010011
804 11100010011
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806 11010010011
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809 10001010011
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812 11101010011
813 10011010011
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816 11111010011
817 10000110011
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820 11100110011
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825 10001110011
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830 11011110011
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832 11111110011
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838 11010001011
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840 11110001011
841 10001001011
842 11001001011
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850 11000101011
851 10100101011
852 11100101011
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855 10110101011
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940 11101010111
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