World!Of
Numbers

WON plate
218 |

[ May 6, 2022 ] [ Last update May 27, 2024 ]
Minimal primes in other bases
A hard problem by Xinyao Chen (email)

A string a is a subsequence of another string b, if a can be
obtained from b by deleting zero or more of the characters in b.
For example, 514 is a substring of 251664.
The empty string is a subsequence of every string.

Two strings a and b are comparable if either a is a substring of b,
or b is a substring of a.

A surprising result from formal language theory is that every set
of pairwise incomparable strings is finite. This means that from
any set of strings we can find its minimal elements.

A string a in a set of strings S is minimal if whenever b
(an element of S) is a substring of a, we have b = a.

This set must be finite! See

For example, if our set is the set of prime numbers (written in radix 10),
then we get the set {2, 3, 5, 7, 11, 19, 41, 61, 89, 409, 449, 499, 881, 991, 6469, 6949,
9001, 9049, 9649, 9949, 60649, 666649, 946669, 60000049, 66000049, 66600049},
(A071062)

and if our set is the set of composite numbers (written in radix 10),
then we get the set {4, 6, 8, 9, 10, 12, 15, 20, 21, 22, 25, 27, 30, 32, 33, 35,
50, 51, 52, 55, 57, 70, 72, 75, 77, 111, 117, 171, 371, 711, 713, 731}
(A071070)

and if our set is the set of powers of 2 (written in radix 10), then we get the set
{1, 2, 4, 8, 65536}
(A071071)
(This set is conjectured to be complete, but not proven, and is
complete if all powers of 2 which are > 65536 contain at least
one of the digits {1, 2, 4, 8}, and this is extremely likely,
since it is conjectured that 2^n contain at least one digit 1 if
n > 91, 2^n contain at least one digit 2 if n > 168, 2^n contain
at least one digit 4 if n > 107, 2^n contain at least one digit 8 if
n > 78, see a071071.pdf for more information)

and if our set is the set of squares (written in radix 10), then we get the set
{1, 4, 9, 25, 36, 576, 676, 7056, 80656, 665856, 2027776, 2802276, 22282727076,
77770707876, 78807087076, 7888885568656, 8782782707776, 72822772707876,
555006880085056, 782280288087076, 827702888070276, 888288787822276,
2282820800707876, 7880082008070276, 80077778877070276, 88778000807227876,
782828878078078276, 872727072820287876, 2707700770820007076,
7078287780880770276, 7808287827720727876, 8008002202002207876,
27282772777702807876, 70880800720008787876, 72887222220777087876,
80028077888770207876, 80880700827207270276, 87078270070088278276,
88002002000028027076, 2882278278888228807876, 8770777780888228887076,
77700027222828822007876, 702087807788807888287876,
788708087882007280808827876, 880070008077808877000002276,
888000227087070707880827076, 888077027227228277087787076,
888588886555505085888555556, 7770000800780088788282227776,
7782727788888878708800870276, 5000060065066660656065066555556,
8070008800822880080708800087876, 80787870808888808272077777227076,
800008088070820870870077778827876, 822822722220080888878078820887876, ...}
(A130448)
(This set is currently not known, and might be extremely difficult to find, but by the
theorem above, this set must be finite, it is known that no repdigits (numbers whose all
digits are same) are squares, and for some families like {7}6 we can prove that they
contain no squares, by quadratic residue
(since all numbers in the family {7}6 are == 6 mod 7 and == 6, 10 mod 11,
but squares are == 0, 1, 2, 4 mod 7 and == 0, 1, 3, 4, 5, 9 mod 11), but we still cannot
prove that the family {5}6 contains no squares, since {5}6 can be
quadratic residue mod first few primes simultaneously, and (5^^n)6 == 4 mod 8 if
n ⩾ 2 (thus, (5^^n)6 is quadratic residue mod 2^r for all r if n ⩾ 2), e.g.
(5^^11)6 is quadratic residue mod all primes < 29 (in fact, mod all numbers < 29),
(5^^389)6 is quadratic residue mod all primes < 67 (in fact, mod all numbers < 67),
(5^^27719)6 is quadratic residue mod all primes < 97 (in fact, mod all numbers < 97), and
(5^^196559)6 is quadratic residue mod all primes < 103 (in fact, mod all numbers < 103),
maybe a theorem like Catalan's conjecture (i.e. b^r+-1 cannot be square if r > 1
unless b = 2 and r = 3) and Ramanujan–Nagell equation (i.e. 2^r-7 cannot be square
if r > 15) also exists for the family {5}6
(the smallest such square (if exists) must be in this set)?
e.g. the element 5000060065066660656065066555556 in the set of squares
is the smallest square containing only the digits 0, 5, 6,
see Squares containing at most three distinct digits and
Perfect squares consisting of only 3 different digits ,
and we still cannot prove that no squares (besides 676) contain no digits
other than {6, 7, 8} (see Squares containing at most three distinct digits and
Perfect squares consisting of only 3 different digits, the smallest
such square (if exists) must be in this set if it does not contain 676 as substring.
Since all squares containing no digits other than {6, 7, 8} end with 76
(since 66, 67, 68, 77, 78, 86, 87, 88 cannot be the final two digits of a square),
thus a square containing no digits other than {6, 7, 8} does not contain 676 as
substring if and only if it is of the form {7,8}*76 (using the notation in Shallit's
article), thus the smallest square in the family {7,8}*76 must be in this set,
and we cannot find a square in this family nor can prove that this family
contains no squares).

Besides, if our set is the set of prime numbers written in radix b, then we get these sets:

bwe get the set
2{10, 11}
3{2, 10, 111}
4{2, 3, 11}
5{2, 3, 10, 111, 401, 414, 14444, 44441}
6{2, 3, 5, 11, 4401, 4441, 40041}
7{2, 3, 5, 10, 14, 16, 41, 61, 11111}

These are already researched in
Minimal Elements for the Prime Numbers (bases 2 ⩽ b ⩽ 30),
Minimal Slides for the Prime Numbers (bases 2 ⩽ b ⩽ 30) and
The Kernel of the Primes for Bases Two through Ten (bases 2 ⩽ b ⩽ 10).
For the data of these sets and the unsolved families see
https://github.com/curtisbright/mepn-data/tree/master/data (bases 2 ⩽ b ⩽ 30)
and https://github.com/RaymondDevillers/primes (bases 28 ⩽ b ⩽ 50)
using A–Z to represent digit values 10 to 35, and using a–n to represent digit values 36 to 49.

Now, let's consider: if our set is the set of prime numbers   > b
written in radix b, then we get the sets:

(using A−F to represent digit values 10 to 15)

bthe set for base b
2{11}
3{12,
21,
111}
4{11,
13,
23,
31,
221}
5
{12,
21,
23,
32,
34,
43,
104,
111,
131,
133,
313,
401,
414,
3101,
10103,
14444,
30301,
33001,
33331,
44441,
300031,
100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000013}
6
{11,
15,
21,
25,
31,
35,
45,
51,
4401,
4441,
40041}
7
{14,
16,
23,
25,
32,
41,
43,
52,
56,
61,
65,
113,
115,
131,
133,
155,
212,
221,
304,
313,
335,
344,
346,
364,
445,
515,
533,
535,
544,
551,
553,
1022,
1051,
1112,
1202,
1211,
1222,
2111,
3031,
3055,
3334,
3503,
3505,
3545,
4504,
4555,
5011,
5455,
5545,
5554,
6034,
6634,
11111,
11201,
30011,
30101,
31001,
31111,
33001,
33311,
35555,
40054,
100121,
150001,
300053,
351101,
531101,
1100021,
33333301,
5100000001,
33333333333333331}
8
{13,
15,
21,
23,
27,
35,
37,
45,
51,
53,
57,
65,
73,
75,
107,
111,
117,
141,
147,
161,
177,
225,
255,
301,
343,
361,
401,
407,
417,
431,
433,
463,
467,
471,
631,
643,
661,
667,
701,
711,
717,
747,
767,
3331,
3411,
4043,
4443,
4611,
5205,
6007,
6101,
6441,
6477,
6707,
6777,
7461,
7641,
47777,
60171,
60411,
60741,
444641,
500025,
505525,
3344441,
4444477,
5500525,
5550525,
55555025,
444444441,
744444441,
77774444441,
7777777777771,
555555555555525,
44444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447}
9
{12,
14,
18,
21,
25,
32,
34,
41,
45,
47,
52,
58,
65,
67,
74,
78,
81,
87,
117,
131,
135,
151,
155,
175,
177,
238,
272,
308,
315,
331,
337,
355,
371,
375,
377,
438,
504,
515,
517,
531,
537,
557,
564,
601,
638,
661,
702,
711,
722,
735,
737,
751,
755,
757,
771,
805,
838,
1011,
1015,
1101,
1701,
2027,
2207,
3017,
3057,
3101,
3501,
3561,
3611,
3688,
3868,
5035,
5051,
5071,
5101,
5501,
5554,
5705,
5707,
7017,
7075,
7105,
7301,
8535,
8544,
8555,
8854,
20777,
22227,
22777,
30161,
33388,
50161,
50611,
53335,
55111,
55535,
55551,
57061,
57775,
70631,
71007,
77207,
100037,
100071,
100761,
105007,
270707,
301111,
305111,
333035,
333385,
333835,
338885,
350007,
500075,
530005,
555611,
631111,
720707,
2770007,
3030335,
7776662,
30300005,
30333335,
38333335,
51116111,
70000361,
300030005,
300033305,
351111111,
1300000007,
5161111111,
8333333335,
300000000035,
311111111161,
544444444444,
2000000000007,
5700000000001,
7270000000007,
88888888833335,
100000000000507,
5111111111111161,
7277777777777777707,
8888888888888888888335,
30000000000000000000051,
1000000000000000000000000057,
56111111111111111111111111111111111111,
7666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666662,
27777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777707,
300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011}
10
{11,
13,
17,
19,
23,
29,
31,
37,
41,
43,
47,
53,
59,
61,
67,
71,
73,
79,
83,
89,
97,
227,
251,
257,
277,
281,
349,
409,
449,
499,
521,
557,
577,
587,
727,
757,
787,
821,
827,
857,
877,
881,
887,
991,
2087,
2221,
5051,
5081,
5501,
5581,
5801,
5851,
6469,
6949,
8501,
9001,
9049,
9221,
9551,
9649,
9851,
9949,
20021,
20201,
50207,
60649,
80051,
666649,
946669,
5200007,
22000001,
60000049,
66000049,
66600049,
80555551,
555555555551,
5000000000000000000000000000027}
11
{12,
16,
18,
21,
27,
29,
34,
38,
3A,
43,
49,
54,
56,
61,
65,
67,
72,
76,
81,
89,
92,
94,
98,
9A,
A3,
10A,
115,
117,
133,
139,
153,
155,
171,
193,
197,
199,
1AA,
225,
232,
236,
25A,
263,
315,
319,
331,
335,
351,
353,
362,
373,
379,
391,
395,
407,
414,
452,
458,
478,
47A,
485,
4A5,
4A7,
502,
508,
511,
513,
533,
535,
539,
551,
571,
579,
588,
595,
623,
632,
70A,
711,
715,
731,
733,
737,
755,
759,
775,
791,
797,
7AA,
803,
847,
858,
85A,
874,
885,
887,
913,
919,
931,
937,
957,
959,
975,
995,
A07,
A1A,
A25,
A45,
A74,
A7A,
A85,
AA1,
AA7,
1101,
11A9,
1305,
1451,
1457,
15A7,
175A,
17A5,
17A9,
2023,
2045,
2052,
2083,
20A5,
2333,
2A05,
2A52,
3013,
3026,
3059,
3097,
3206,
3222,
3233,
3307,
3332,
3505,
4025,
4151,
4157,
4175,
4405,
4445,
4487,
450A,
4575,
5017,
5031,
5059,
5075,
5097,
5099,
5105,
515A,
517A,
520A,
5301,
5583,
5705,
577A,
5853,
5873,
5909,
5A17,
5A57,
5A77,
5A8A,
6683,
66A9,
7019,
7073,
7079,
7088,
7093,
7095,
7309,
7451,
7501,
7507,
7578,
757A,
75A7,
7787,
7804,
7844,
7848,
7853,
7877,
78A4,
7A04,
7A57,
7A79,
7A95,
8078,
8245,
8333,
8355,
8366,
8375,
8425,
8553,
8663,
8708,
8777,
878A,
8A05,
9053,
9101,
9107,
9305,
9505,
9703,
A052,
A119,
A151,
A175,
A515,
A517,
A575,
A577,
A5A8,
A719,
A779,
A911,
AAA9,
10011,
10075,
10091,
10109,
10411,
10444,
10705,
10709,
10774,
10901,
11104,
11131,
11144,
11191,
1141A,
114A1,
13757,
1411A,
14477,
144A4,
14A04,
14A11,
17045,
17704,
1774A,
17777,
177A4,
17A47,
1A091,
1A109,
1A114,
1A404,
1A411,
1A709,
20005,
20555,
22203,
25228,
25282,
25552,
25822,
28522,
30037,
30701,
30707,
31113,
33777,
35009,
35757,
39997,
40045,
4041A,
40441,
4045A,
404A1,
4111A,
411A1,
42005,
44401,
44474,
444A1,
44555,
44577,
445AA,
44744,
44A01,
47471,
47477,
47701,
5057A,
50903,
5228A,
52A22,
52A55,
52A82,
55007,
550A9,
55205,
55522,
55557,
55593,
55805,
57007,
57573,
57773,
57807,
5822A,
58307,
58505,
58A22,
59773,
59917,
59973,
59977,
59999,
5A015,
5A2A2,
5AA99,
60836,
60863,
68636,
6A609,
6A669,
6A696,
6A906,
6A966,
70048,
70103,
70471,
70583,
70714,
71474,
717A4,
71A09,
74084,
74444,
74448,
74477,
744A8,
74747,
74774,
7488A,
74A48,
75773,
77144,
77401,
77447,
77799,
77A09,
78008,
78783,
7884A,
78888,
788A8,
79939,
79993,
79999,
7A051,
7A444,
7A471,
80005,
80252,
80405,
80522,
80757,
80AA5,
83002,
84045,
85307,
86883,
88863,
8A788,
90073,
90707,
90901,
95003,
97779,
97939,
99111,
99177,
99973,
A0111,
A0669,
A0966,
A0999,
A0A09,
A1404,
A4177,
A4401,
A4717,
A5228,
A52AA,
A5558,
A580A,
A5822,
A58AA,
A5A59,
A5AA2,
A6096,
A6966,
A6999,
A7051,
A7778,
A7808,
A9055,
A9091,
A9699,
A9969,
AA52A,
AA58A,
100019,
100079,
101113,
101119,
101911,
107003,
140004,
144011,
144404,
1A0019,
1A0141,
1A5001,
1A7005,
1A9001,
222223,
222823,
300107,
300202,
300323,
303203,
307577,
310007,
332003,
370777,
400555,
401A11,
404001,
404111,
405AAA,
41A011,
440A41,
441011,
451777,
455555,
470051,
470444,
474404,
4A0401,
4A4041,
500015,
500053,
500077,
500507,
505577,
522A2A,
525223,
528A2A,
531707,
550777,
553707,
5555A9,
555A99,
557707,
55A559,
5807A7,
580A0A,
580A55,
58A0AA,
590007,
599907,
5A2228,
5A2822,
5A2AAA,
5A552A,
5AA22A,
5AAA22,
60A069,
683006,
6A0096,
6A0A96,
6A9099,
6A9909,
700778,
701074,
701777,
704408,
704417,
704457,
704484,
707041,
707441,
707708,
707744,
707784,
710777,
717044,
717077,
740008,
74484A,
770441,
770744,
770748,
770771,
777017,
777071,
777448,
777484,
777701,
7778A8,
777A19,
777A48,
778883,
78A808,
790003,
7A1009,
7A4408,
7A7708,
80A555,
828283,
828883,
840555,
850505,
868306,
873005,
883202,
900701,
909739,
909979,
909991,
970771,
977701,
979909,
990739,
990777,
990793,
997099,
999709,
999901,
A00009,
A00599,
A01901,
A05509,
A0A058,
A0A955,
A10114,
A555A2,
A55999,
A59991,
A5A222,
A5A22A,
A60609,
A66069,
A66906,
A69006,
A79005,
A87888,
A90099,
A90996,
A96006,
A96666,
A97177,
A97771,
AA0A58,
AA5A22,
AAA522,
1000501,
1011141,
1030007,
1070047,
111114A,
1111A14,
1111A41,
1144441,
14A4444,
1700005,
1700474,
1A44444,
2555505,
2845055,
3030023,
3100003,
3333397,
4000111,
4011111,
41A1111,
4411111,
444441A,
4444771,
4470004,
4505005,
4744417,
4774441,
4777404,
4777417,
4777747,
4A11111,
4A40001,
5000093,
50005A7,
5005777,
5050553,
5055503,
5070777,
5222222,
5222AAA,
52AAAA2,
52AAAAA,
5505053,
5552AAA,
5555599,
5555A58,
5558A0A,
5558A55,
5558AAA,
55A0009,
55AAA52,
580000A,
5822222,
58AAAAA,
5A2222A,
5AA2222,
6000A69,
6000A96,
6A00069,
7000417,
7000741,
7000835,
7000857,
7007177,
7008305,
7014447,
7017444,
7074177,
7077477,
7077741,
7077747,
7100447,
7174404,
717444A,
7400404,
7700717,
7701077,
7701707,
7707778,
7774004,
7777104,
777741A,
7777441,
777774A,
7777A47,
7779003,
777A008,
777A778,
777A808,
77A4777,
7900399,
8305007,
8500707,
8555707,
8883022,
8AA5222,
9000035,
9007999,
9009717,
9009777,
9009997,
9090997,
9099907,
9355555,
9790099,
9900991,
9900997,
9907909,
9909079,
9979009,
9990079,
9990091,
9990907,
9999771,
9999799,
9999979,
A000696,
A000991,
A001091,
A006906,
A010044,
A040041,
A0AAA58,
A141111,
A5222A2,
A600A69,
A906606,
A909009,
A990009,
A997701,
AA55A52,
AAA5552,
AAAAA52,
10004747,
10005007,
17000744,
22888823,
28888223,
30010111,
30555777,
31011111,
33000023,
40A00041,
45000055,
47040004,
50377777,
50555553,
5282AAA2,
55505003,
555A5A52,
555AAA2A,
55A5A552,
5AAAAA2A,
60A99999,
70000057,
70070474,
70074704,
70174004,
70700078,
70700474,
70704704,
70710707,
70771007,
70777177,
71074004,
74470001,
77000177,
77070477,
77100077,
77470004,
77700404,
77710007,
77717707,
77748808,
7774A888,
77770078,
77770474,
77774704,
77777008,
77777404,
77777778,
80555055,
88828823,
88888326,
88888823,
8A522222,
90097909,
90700999,
90977777,
97000001,
97000717,
97770007,
99000001,
99000771,
99077001,
99090097,
99777707,
99900097,
99970717,
99999097,
99999707,
A0000058,
A0004041,
A00055A9,
A000A559,
A1900001,
A5555009,
A5A55552,
A9700001,
A9909006,
A9990006,
A9990606,
A9999917,
A9999966,
100000507,
100035077,
100050777,
100057707,
101111114,
15A000001,
170000447,
300577777,
40000A401,
447771777,
44A444441,
474000004,
477700004,
477777774,
505000003,
55555AA2A,
5555A5A2A,
700000147,
700017004,
700044004,
700077774,
700170004,
701000047,
701700004,
704000044,
704040004,
707070774,
707077704,
707770704,
707777004,
717000004,
717700007,
770000078,
770004704,
770070747,
770070774,
770700008,
770700084,
770707074,
777000044,
777000774,
777717007,
777770477,
777770747,
7777777A4,
77A700008,
888888302,
900000091,
900090799,
970009099,
990990007,
997000077,
999999997,
A0000AA58,
A00990001,
A05555559,
A44444111,
A44444777,
A44477777,
A66666669,
A90000606,
A99999006,
A99999099,
1000007447,
1005000007,
1500000001,
2888882883,
2888888883,
3555555509,
3577777077,
3700000001,
4000000005,
40000005AA,
5377777707,
5555505553,
555555580A,
600000A999,
7000100047,
7000704777,
7007777107,
7057777777,
7070007774,
7077707774,
7077777074,
7100000704,
7470000041,
7701000004,
7707077774,
7770707774,
7777707074,
8888822883,
9555555503,
9900000979,
9999770007,
A000144444,
A900000066,
A999999971,
10000000477,
33333333337,
44444444447,
44444444777,
55A55555552,
60000008883,
68888888306,
68888888883,
70000003999,
70000007717,
70004777777,
70477777777,
77007770004,
77700000477,
77707000704,
77707770074,
77707777774,
77777077774,
77777770004,
83000000006,
97000000999,
A0000000001,
A0014444444,
A4777777771,
100000000057,
305007777777,
305777777777,
370000000007,
377777770007,
377777777107,
700000007474,
707077000074,
707077777774,
707777777717,
770000010004,
771007000007,
777070700004,
777700000704,
A95555555555,
A99999777777,
1000000003007,
40000000A0041,
58A5555555555,
7004400000004,
7700000000104,
7707000007047,
7707707000004,
7777007000004,
7777700000004,
7777770077704,
7777777710077,
9977777777717,
A000000014444,
A044444444441,
A144444444411,
40000000000401,
45557777777777,
4555AAAAAAAAAA,
59077777777777,
70007777777771,
70077070000074,
70700000004777,
77000007700704,
77700000700047,
77777777770704,
88888888830006,
90900000000799,
A0000044444441,
300000000005777,
302000000000002,
55555555A555552,
700000000000174,
770000000000474,
771700000000007,
777070000000047,
777777777771777,
777777777777177,
990000000000799,
A00000000444441,
1000000000000073,
1000000000000404,
4700000000000404,
5777777770777777,
6000000000000083,
7077777777777771,
7707000700000047,
7770000000000084,
7770000000007047,
8888888888888306,
8888888888888322,
9707777777777777,
11111111111111111,
14444444444441111,
44444444444444111,
70000000000000004,
70000000000040044,
70000000007477777,
77777777777770044,
77777777777771007,
77777777777777717,
A1444444444444444,
A5555555555555509,
A9999999999999996,
320000000000000002,
597777777777777707,
707700700000000074,
770000000000077704,
805055555555555555,
888888888888888883,
997700000000000007,
1444444444444444444,
5077777777777777077,
7777777777777777771,
7777777777777777793,
8550555555555555555,
8555505555555555555,
9777777777777777773,
4000000000000000A041,
555555555555555550503,
5555555555555555A5552,
55AAAAAAAAAAAAAAAAA58,
855555555055555555555,
45AAAAAAAAAAAAAAAAAAAA,
5307777777777777777777,
7707777777777777777704,
7900000000000000000005,
9777777777777777777707,
A999999999999999999999,
10000000000000000000747,
970000000000000000000777,
999900000000000000000007,
3577777777777777777777777,
5555555555555555555555A52,
7000000000000000000777771,
7000000000000000077777771,
AAAAAAAAAAAAAAAAAAA000058,
10000000000000000000000044,
77700000000000000000000008,
500777777777777777777777777,
777777777777777777777770774,
855555555555555555555055555,
A44444444444444444444444441,
1500000000000000000000000007,
40000000000000000000000000041,
440000000000000000000000000001,
70000000000000000000000000007771,
999999999999999999999999999999991,
95555555555555555555555555555555553,
1900000000000000000000000000000000001,
7777777777777777777777777777777777474,
7777777777777777777777777777777777704,
10000000000000000000000000000000000000307,
50777777777777777777777777777777777777707,
475777777777777777777777777777777777777777,
555555555555555555555555555555555555555A2A,
5900000000000000000000000000000000000000003,
A477777777777777777777777777777777777777777,
90000000000000000000000000000000000000009799,
444444444444444444444444444444444444444444441,
577777777777777777777777777777777777777777707777,
9700000000000000000000000000000000000000000000000007,
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA0058,
8055555555555555555555555555555555555555555555555555555555555,
A9997777777777777777777777777777777777777777777777777777777777,
44777777777777777777777777777777777777777777777777777777777777777,
99777777777777777777777777777777777777777777777777777777777777777,
577077777777777777777777777777777777777777777777777777777777777777,
835000000000000000000000000000000000000000000000000000000000000000007,
74700000000000000000000000000000000000000000000000000000000000000000000000001,
100000000000000000000000000000000000000000000000000000000000000000000000000035,
555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555558A,
10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000037,
57777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777077,
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA058,
55555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555053,
3266666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666,
10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000051,
500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000057,
555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555552A,
5077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777,
8555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555505,
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA58,
77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777744,
55777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777,
5(7^^62668)}
12
{11,
15,
17,
1B,
25,
27,
31,
35,
37,
3B,
45,
4B,
51,
57,
5B,
61,
67,
6B,
75,
81,
85,
87,
8B,
91,
95,
A7,
AB,
B5,
B7,
221,
241,
2A1,
2B1,
2BB,
401,
421,
447,
471,
497,
565,
655,
665,
701,
70B,
721,
747,
771,
77B,
797,
7A1,
7BB,
907,
90B,
9BB,
A41,
B21,
B2B,
2001,
200B,
202B,
222B,
229B,
292B,
299B,
4441,
4707,
4777,
6A05,
6AA5,
729B,
7441,
7B41,
929B,
9777,
992B,
9947,
997B,
9997,
A0A1,
A201,
A605,
A6A5,
AA65,
B001,
B0B1,
BB01,
BB41,
600A5,
7999B,
9999B,
AAAA1,
B04A1,
B0B9B,
BAA01,
BAAA1,
BB09B,
BBBB1,
44AAA1,
A00065,
BBBAA1,
AAA0001,
B00099B,
AA000001,
BBBBBB99B,
B0000000000000000000000000009B,
400000000000000000000000000000000000000077}
13
{14,
16,
1A,
23,
25,
2B,
32,
34,
38,
41,
47,
49,
52,
56,
58,
61,
65,
6B,
76,
7A,
7C,
83,
85,
89,
9A,
A1,
A7,
A9,
B6,
B8,
C1,
C7,
CB,
10C,
119,
11B,
122,
133,
155,
157,
173,
179,
17B,
188,
197,
1B1,
1B5,
1CC,
209,
212,
218,
229,
272,
274,
281,
287,
292,
296,
298,
29C,
2C9,
311,
313,
331,
33B,
355,
371,
373,
379,
397,
3A6,
3AA,
3B3,
3B9,
3BB,
3CA,
43C,
445,
44B,
45A,
463,
4A3,
4A5,
4B2,
4B4,
4BA,
50C,
511,
515,
533,
54A,
551,
559,
571,
575,
57B,
595,
599,
5B3,
5B9,
5CC,
607,
629,
63A,
643,
674,
704,
715,
724,
728,
731,
737,
739,
742,
751,
75B,
773,
775,
779,
782,
784,
791,
793,
797,
7B1,
812,
818,
874,
878,
8AB,
8B4,
902,
919,
922,
926,
92C,
937,
93B,
946,
95B,
962,
968,
971,
977,
979,
982,
98C,
9B3,
9B5,
A03,
A3C,
A45,
A4B,
A54,
AA3,
AAB,
B02,
B0C,
B11,
B15,
B17,
B24,
B33,
B39,
B42,
B57,
B59,
B71,
B93,
B9B,
BA4,
BAA,
BB1,
BB9,
BC2,
BCC,
C29,
C43,
C98,
CA3,
1013,
1031,
1037,
105B,
1075,
10B7,
10BB,
1105,
1112,
1121,
1127,
113C,
1172,
1187,
1208,
1211,
1277,
12C8,
1307,
1309,
131C,
139C,
151C,
1721,
1727,
1787,
1901,
1909,
1912,
1918,
193C,
1981,
198B,
199C,
19B2,
19C3,
1B29,
1BB2,
1BBC,
1C28,
1C39,
2021,
2078,
2117,
2201,
2221,
2267,
2278,
2627,
2678,
2711,
2771,
2788,
3037,
3053,
306A,
3077,
3091,
309B,
30AC,
3305,
353C,
35AB,
35BA,
35BC,
3677,
3905,
390B,
39C5,
3A0C,
3AB5,
3B5C,
3C35,
3C59,
3C95,
403A,
40AB,
4333,
435B,
4403,
44C3,
4535,
4544,
454C,
45B5,
45BB,
480B,
4B35,
4B5B,
4C36,
5057,
5077,
509B,
50A4,
5107,
5305,
530B,
539C,
53AB,
53C9,
5444,
5455,
54C4,
5503,
5545,
55AB,
5774,
5794,
590B,
594B,
5974,
59B4,
5A4C,
5A53,
5AA4,
5AB5,
5ABB,
5ACA,
5B4B,
5B5A,
5BA5,
5CA4,
6227,
6278,
6667,
6698,
6733,
6872,
6928,
6944,
694C,
6973,
6986,
6997,
69C8,
6AC3,
6C92,
6C94,
7019,
7057,
70B5,
7103,
710B,
7118,
7127,
7129,
7172,
7178,
7192,
7211,
7217,
7219,
7271,
7303,
7408,
7433,
7444,
7505,
7507,
7574,
770B,
7774,
7778,
7787,
7871,
7877,
7888,
794B,
7994,
79B4,
7B43,
7B74,
7B94,
7BB2,
8027,
8072,
8081,
80BA,
8171,
8207,
821C,
848B,
8687,
8711,
8722,
87BB,
8867,
88B2,
88BA,
8B22,
8B2A,
8BAC,
9004,
9017,
9031,
9053,
9055,
9073,
9091,
90BB,
90C8,
9107,
9118,
913C,
9181,
91C3,
9284,
935C,
93C5,
9424,
9428,
9448,
9509,
959C,
96C4,
9703,
9743,
9745,
974B,
97B2,
9811,
981B,
987B,
98B1,
991C,
9967,
9998,
9B12,
9B74,
9B92,
9BBC,
9C55,
9C86,
9CC4,
A0BA,
A306,
A436,
A535,
A5B5,
A636,
A6C3,
A80B,
AB04,
AB22,
AB35,
AB3B,
AB4C,
AB55,
ABAC,
ABB5,
AC36,
ACA5,
B044,
B04A,
B0B7,
B129,
B1B2,
B219,
B222,
B291,
B299,
B2CA,
B35A,
B3A5,
B404,
B44C,
B45B,
B4B3,
B501,
B51C,
B55A,
B5A5,
B5AB,
B5C3,
B707,
B792,
B794,
B905,
B912,
B9C5,
BA5B,
BAB3,
BB03,
BB45,
BB72,
BBA5,
BBB2,
BC44,
BC53,
BC95,
BC99,
C30A,
C36A,
C395,
C454,
C535,
C553,
C593,
C944,
C953,
C964,
CC94,
10015,
10051,
10099,
10118,
10291,
10712,
10772,
10811,
10877,
10921,
10B92,
11111,
11135,
11171,
111C8,
11531,
11C03,
13001,
13177,
13777,
13915,
13951,
13991,
159BB,
17018,
17102,
17111,
17117,
17171,
17177,
17708,
17711,
17801,
18071,
18101,
18271,
18B27,
19003,
19153,
19315,
19351,
19591,
19913,
19951,
1C099,
20171,
20177,
20207,
20227,
20777,
21011,
21077,
2111C,
21707,
22207,
30017,
300B5,
301C9,
3033A,
303A3,
303C5,
3050B,
305C9,
3095C,
30B05,
31007,
3159B,
31999,
31C09,
3330A,
33353,
33593,
33757,
33C5C,
33CC5,
35003,
3591B,
39353,
39539,
39935,
39995,
3ACCC,
3C5C3,
3CC53,
40043,
40306,
405C4,
408BC,
40BBB,
40C54,
43066,
4366A,
4443A,
45055,
45505,
45554,
4555C,
455BC,
455C3,
45C04,
488BC,
4B03B,
4B0B5,
4B55C,
4BB0B,
4C003,
4C054,
4C5C4,
50053,
500B1,
5035A,
504B5,
5053A,
50554,
505B4,
50A35,
50B07,
50BBA,
5139B,
519BB,
51BB7,
535AC,
53A5C,
53AC5,
53BAC,
54004,
54035,
5403B,
545C3,
54B05,
54B5C,
54BBC,
54C53,
55357,
5535B,
553AC,
554BC,
55537,
55544,
5554C,
55577,
555A4,
555BB,
55A5C,
55B04,
55B55,
55B77,
55BB5,
55BC4,
55C54,
55C5A,
57403,
591BB,
59443,
59BB7,
5A044,
5AC04,
5AC35,
5B001,
5B007,
5B0AB,
5B0B4,
5B4C5,
5B544,
5B555,
5B5BB,
5B744,
5B777,
5BA0B,
5BB44,
5BB55,
5BBC4,
5BC54,
5C039,
5C35A,
5C53A,
60098,
60964,
60988,
60A63,
66094,
66377,
66692,
66694,
669C2,
669C4,
66A36,
67022,
67099,
67222,
67277,
67772,
68627,
69088,
690C4,
69808,
69994,
6A663,
7007B,
70181,
70222,
70277,
70772,
70808,
70B0B,
70B29,
71113,
71711,
71908,
71999,
7199B,
71BB7,
71BBB,
74035,
74305,
7430B,
74503,
75443,
75454,
75535,
77072,
77108,
77177,
77717,
77BBB,
78011,
79BBB,
7B007,
7B7B7,
7B7BB,
7BBB3,
7BBB7,
80117,
80221,
80771,
80777,
80807,
8084B,
80B7B,
80BBB,
81107,
8400B,
86267,
87107,
87277,
87727,
87B27,
88111,
88201,
88702,
88771,
8888B,
88B77,
88BBB,
8B1BC,
8B727,
90035,
90059,
90088,
90095,
9009B,
90101,
90103,
90305,
90488,
904CC,
90574,
90644,
9064C,
90806,
908B7,
9090B,
90994,
90B09,
90C35,
90C59,
90C64,
91111,
91135,
91315,
9180B,
92008,
92408,
92488,
93359,
93395,
944C2,
944CC,
94505,
9455C,
94804,
94888,
94C0C,
94C33,
94C4C,
95045,
95504,
95573,
955C4,
95C54,
96044,
97BBB,
98066,
98408,
98444,
98804,
98848,
99001,
99005,
9900B,
99074,
990BC,
99113,
99175,
99278,
99335,
99454,
994C3,
99517,
99593,
9984B,
99881,
99904,
99917,
99935,
99955,
99973,
999BB,
999C2,
999C4,
99B99,
9B00B,
9B04B,
9B0B4,
9B1BB,
9BB04,
9C059,
9C244,
9C404,
9C44C,
9C488,
9C503,
9C5C9,
9C644,
9C664,
9CC88,
9CCC2,
A00B4,
A05BB,
A08B2,
A08BC,
A0BC4,
A3336,
A3633,
A443A,
A4443,
A50BB,
A55C5,
A5AAC,
A5BBA,
A5C53,
A5C55,
AACC5,
AB05B,
AB0BB,
AB40A,
ABBBC,
ABC4A,
ACC5A,
ACCC3,
B0053,
B0075,
B010B,
B0455,
B0743,
B0774,
B0909,
B0BB4,
B2277,
B2A2C,
B3005,
B351B,
B37B5,
B3A0B,
B3ABC,
B3B0A,
B400A,
B4035,
B403B,
B4053,
B4305,
B4BC5,
B4C0A,
B504B,
B50BA,
B530A,
B5454,
B54BC,
B54C5,
B5544,
B55B5,
B5B44,
B5B4C,
B5BB5,
B7403,
B7535,
B77BB,
B7955,
B7B7B,
B9207,
B9504,
B9999,
BA055,
BA305,
BABC5,
BAC35,
BB054,
BB05A,
BB207,
BB3B5,
BB4C3,
BB504,
BB544,
BB54C,
BB5B5,
BB753,
BB7B7,
BBABC,
BBB04,
BBB4C,
BBB55,
BBBAC,
BC035,
BC455,
C0353,
C0359,
C03AC,
C0904,
C0959,
C0A5A,
C0CC5,
C3059,
C335C,
C5A0A,
C5A44,
C5AAC,
C6692,
C69C2,
C904C,
C9305,
C9905,
C995C,
C99C5,
C9C04,
C9C59,
C9CC2,
CA50A,
CA5AC,
CAA05,
CAA5A,
CC335,
CC544,
CC5AA,
CC935,
CC955,
100039,
100178,
100718,
100903,
101177,
101708,
101711,
101777,
102017,
102071,
103999,
107081,
107777,
108217,
109111,
109151,
110078,
110108,
110717,
111017,
111103,
1111C3,
111301,
111707,
113501,
115103,
117017,
117107,
117181,
117701,
120701,
13C999,
159103,
170717,
177002,
177707,
180002,
187001,
18C002,
19111C,
199903,
1B0007,
1BB077,
1BBB07,
1C0903,
1C8002,
1C9993,
200027,
207107,
217777,
219991,
220027,
222227,
270008,
271007,
277777,
290444,
300059,
300509,
303359,
303995,
309959,
30B50A,
3336AC,
333707,
33395C,
335707,
3360A3,
350009,
36660A,
3666AC,
370007,
377B07,
39001C,
399503,
3BC005,
400366,
400555,
400B3B,
400B53,
400BB5,
400CC3,
4030B5,
40B053,
40B30B,
40B505,
43600A,
450004,
4A088B,
4B0503,
4B5C05,
4BBBB5,
4BC505,
500039,
50045B,
50405B,
504B0B,
50555B,
5055B5,
505B0A,
509003,
50A50B,
50B045,
50B054,
539B01,
550054,
5500BA,
55040B,
553BC5,
5553C5,
55550B,
5555C3,
555C04,
55B00A,
55BB0B,
570007,
5A500B,
5A555B,
5AC505,
5B055B,
5B0B5B,
5B5B5C,
5B5BC5,
5BB05B,
5BBB0B,
5BBB54,
5BBBB4,
5BBC0A,
5BC405,
5C5A5A,
5CA5A5,
600694,
6060A3,
609992,
637777,
6606A3,
6660A3,
667727,
667808,
668777,
669664,
670088,
679988,
696064,
69C064,
6A6333,
700727,
700811,
700909,
70098B,
700B92,
701117,
701171,
701717,
707027,
707111,
707171,
707201,
707801,
70788B,
7080BB,
708101,
70881B,
70887B,
70B227,
710012,
710177,
711002,
711017,
711071,
717707,
718001,
718111,
720077,
722002,
727777,
74BB3B,
74BB53,
770102,
770171,
770801,
777112,
777202,
777727,
777772,
778801,
77B772,
780008,
78087B,
781001,
788B07,
79088B,
794555,
7B000B,
7B0535,
7B077B,
7B2777,
7B4BBB,
7BB4BB,
800021,
800717,
801077,
80BB07,
811117,
870077,
8777B7,
877B77,
880177,
88071B,
88077B,
8808BC,
887017,
88707B,
888227,
88877B,
8887B7,
888821,
888827,
888BB7,
8B001B,
8B00BB,
8BBB77,
8BBBB7,
900097,
900BC9,
901115,
903935,
904033,
90440C,
908008,
908866,
909359,
909C05,
90B944,
90C95C,
90CC95,
91008B,
91115C,
911503,
920888,
930335,
933503,
935903,
940033,
94040C,
940808,
94CCCC,
950005,
950744,
95555C,
9555C5,
95C003,
95C005,
96400C,
96440C,
96664C,
966664,
966994,
969094,
969964,
97008B,
97080B,
975554,
97800B,
97880B,
980006,
980864,
980B07,
984884,
986006,
986606,
986644,
988006,
988088,
988664,
988817,
988886,
988B0B,
98B007,
990115,
990151,
990694,
990B44,
990C5C,
991501,
993059,
99408B,
994555,
995404,
995435,
996694,
9978BB,
998087,
999097,
999103,
99944C,
999503,
9995C3,
999754,
999901,
99990B,
999B09,
99B4C4,
99C0C5,
99C539,
99CC05,
9B9444,
9B9909,
9C0484,
9C0808,
9C2888,
9C400C,
9C4CCC,
9C6994,
9C90C5,
9C9C5C,
9CC008,
9CC5C3,
9CC905,
9CCC08,
A0055B,
A005AC,
A0088B,
A00B2C,
A00BBB,
A0555C,
A05CAA,
A0A5AC,
A0A5CA,
A0AC05,
A0AC5A,
A0B50B,
A0BB0B,
A0BBB4,
A0C5AC,
A3660A,
A5050B,
A555AC,
A5B00B,
AA0C05,
AAA05C,
AAA0C5,
AAC05C,
AB4444,
ABB00B,
AC050A,
AC333A,
B0001B,
B00099,
B0030B,
B004B5,
B00A35,
B00B54,
B030BA,
B05043,
B0555B,
B05B0A,
B05B5B,
B07B53,
B09074,
B09755,
B09975,
B09995,
B0AB0B,
B0B04B,
B0B535,
B0BB53,
B4C055,
B50003,
B5003A,
B500A3,
B50504,
B50B04,
B53BC5,
B54BBB,
B550BB,
B555BC,
B55C55,
B5B004,
B5B0BB,
B5B50B,
B5B554,
B5B55C,
B5B5B4,
B5BBB4,
B5BBBC,
B5BC0A,
B5C045,
B5C054,
B70995,
B70B3B,
B74555,
B74B55,
B99921,
B99945,
BAC505,
BB0555,
BB077B,
BB0B5B,
BB0BB5,
BB500A,
BB53BC,
BB53C5,
BB5505,
BB55BC,
BB5BBA,
BB5C0A,
BB7BB4,
BBB00A,
BBB74B,
BBBB54,
BBBBAB,
BC5054,
BC5504,
C00094,
C00694,
C009C4,
C00C05,
C03035,
C050AA,
C05309,
C05404,
C0544C,
C05AC4,
C05C39,
C06092,
C06694,
C09035,
C094CC,
C09992,
C09994,
C09C4C,
C09C95,
C0CC3A,
C0CC92,
C33539,
C35009,
C4C555,
C50309,
C50AAA,
C53009,
C550A5,
C555CA,
C55A5A,
C55CA5,
C5AC55,
C60094,
C60694,
C93335,
C95405,
C99094,
CA05CA,
CA0AC5,
CA555C,
CAC5CA,
CC05A4,
CC0AA5,
CC0C05,
CC3509,
CC4555,
CC5039,
CC5554,
CC555A,
CC6092,
CCC0C5,
CCC353,
CCC959,
CCC9C2,
1000271,
1000802,
1000871,
1001771,
1001801,
1007078,
1008002,
1008107,
1008701,
1010117,
1027001,
1070771,
1077107,
1077701,
1080107,
1101077,
1110008,
1111078,
1115003,
1117777,
1170008,
1170101,
1700078,
1700777,
1800017,
1877017,
18B7772,
18BBB0B,
1999391,
1999931,
1BBBB3B,
2011001,
2107001,
2110001,
2700017,
2700707,
300000A,
3000019,
3000A33,
3003335,
3003395,
3009335,
300A05B,
3010009,
30A3333,
3335C09,
3339359,
3353777,
336A333,
3393959,
33AC333,
3537007,
3577777,
3636337,
3757777,
395C903,
3AC3333,
40003B5,
400B0B3,
400BBC3,
403B005,
405050B,
40B5555,
40BB555,
40CC555,
4436606,
4444306,
45C5555,
4BC5555,
4C55555,
4CC5004,
4CCC0C3,
500001B,
50003A5,
50005BA,
500B55B,
501000B,
505004B,
505B05B,
50B50B5,
50B550B,
50BB004,
5300009,
5400B0B,
54B000B,
5500BBB,
550B05B,
553000A,
5537777,
555054B,
55505BA,
5550B74,
5555054,
5555BAC,
5555C05,
555B005,
555C00A,
555CA55,
55AC005,
55AC555,
55B005B,
55CA0A5,
5A00004,
5AA5C05,
5B05B05,
5B50B05,
5B5C004,
5BBBBB5,
5BBBBCA,
5C00093,
5C003A5,
5C00A0A,
5C0A055,
5C505AA,
5C5555A,
6000692,
600A333,
606A333,
6363337,
6720002,
6906664,
7000112,
7000712,
7001201,
7001777,
7005553,
70088B7,
7009555,
7010771,
7070881,
7088107,
709800B,
70B9992,
7100021,
7100081,
7100087,
7101107,
7110101,
7120001,
7170077,
7200202,
7270007,
74BBB05,
7700027,
7700201,
7700221,
7700881,
7701017,
7701101,
7707101,
7707701,
7711001,
7770101,
7771201,
7777001,
7777021,
7777102,
77777B7,
777B207,
777B777,
7780001,
77881BB,
788001B,
798000B,
7B00955,
7B00995,
7B55553,
7B55555,
7B77722,
7BB777B,
7BBB40B,
800000B,
8000BB7,
8001B0B,
8010011,
8010101,
8020111,
80B100B,
81B000B,
8677777,
8770001,
8777071,
8801B07,
88040BC,
8822177,
8880007,
8882777,
8887772,
8888087,
8888801,
888B07B,
888B10B,
8B0B00B,
8B777B2,
8BB000B,
9000008,
9000013,
9001151,
9086666,
9088864,
9094003,
9097808,
9099905,
90B99C9,
9151003,
9170008,
91BBBB7,
9244444,
9290111,
940C444,
9430003,
944404C,
94444C4,
944C044,
944C444,
9555005,
9555557,
9644404,
964444C,
96640CC,
9800008,
98800B7,
98884BB,
9888844,
9888884,
98BBB0B,
990888B,
9909C95,
990C94C,
9939953,
9944443,
9955555,
9988807,
998BB07,
99905C9,
9990C95,
9991115,
9994033,
9996644,
9997B44,
999B201,
999CC95,
99CCC5C,
9B20001,
9BBBB44,
9C03335,
9C04444,
9C08888,
9C640CC,
9C80008,
9C99994,
9CC9959,
A00AA5C,
A00AAC5,
A00C50A,
A00C555,
A00C5AA,
A05C00A,
A0C005A,
A0C0555,
A0C555A,
A30000A,
A33500A,
A55553A,
A55555C,
A5C00AA,
A5CAAAA,
A8BBB0A,
AA00AC5,
AA00C5A,
AA05C0A,
AA5CAAA,
AAAC5AA,
AAC0555,
AC005AA,
AC0555A,
AC5000A,
AC5505A,
AC5550A,
AC66663,
ACC0555,
B00007B,
B0003AB,
B000435,
B0004BB,
B000A3B,
B000B5A,
B000BA3,
B003777,
B005054,
B005504,
B0055BB,
B00777B,
B007B3B,
B00A0BB,
B00AB05,
B00B0BA,
B00B555,
B00B55B,
B00BB5B,
B00BBB3,
B040B0B,
B04B00B,
B050054,
B0500B4,
B0554BB,
B05B055,
B070005,
B073B05,
B0B00AB,
B0B0A0B,
B0B50BB,
B0B550B,
B0B554B,
B0BABBB,
B0BB305,
B1BBB3B,
B30000B,
B377B77,
B400B0B,
B4C5005,
B5000B4,
B5003B5,
B505505,
B550004,
B550055,
B555555,
B555C05,
B5B005B,
B5C5505,
B70000B,
B7B300B,
B7BB777,
B7BBBBB,
B920001,
B99545C,
B99954C,
B999744,
BA000BB,
BABBB0B,
BB000AB,
BB0055B,
BB05B0B,
BB074BB,
BB0BABB,
BB4000B,
BB4430A,
BB500BB,
BB540BB,
BB5555B,
BB5BBBB,
BB74B0B,
BB77B44,
BB7B40B,
BBB005B,
BBB0077,
BBB00B5,
BBB3007,
BBB4444,
BBB4B0B,
BBB500B,
BBB7B3B,
BBB7BB5,
BBBAB0B,
BBBB375,
BBBB3B7,
BBBBB7B,
BBBC40A,
BC05045,
C000092,
C0000C5,
C0005A4,
C000C5C,
C005AAA,
C009095,
C00940C,
C00955C,
C00C5A4,
C050039,
C0505A5,
C050A55,
C055555,
C05AA55,
C05C044,
C05C554,
C05CAAA,
C0C5A04,
C300035,
C33333A,
C3333C5,
C550555,
C55500A,
C555505,
C555A55,
C5A0055,
C5A0505,
C5C0044,
C995554,
C999992,
C9C0C95,
C9C40CC,
C9C9995,
C9CCC35,
CA05055,
CA055A5,
CA0A555,
CA50505,
CAAC555,
CC00005,
CC00995,
CC00C3A,
CC00C5C,
CC5A004,
CC5A505,
CC69992,
CCA0C5A,
CCA5A55,
CCAC555,
CCC005C,
CCC0539,
CCC5309,
CCC5A55,
CCC5C39,
CCC9095,
CCCAAC5,
CCCC692,
CCCCC3A,
10001081,
10002107,
10007717,
10107781,
10210007,
10500001,
11000177,
11000771,
11117008,
12000071,
12700001,
18001007,
18010007,
1C000082,
20007017,
27070007,
30003935,
30333935,
40000036,
40000553,
4000503B,
4050003B,
40BC0055,
40CCCCC3,
44300006,
44366666,
4B0000B3,
4B050005,
4CC0C555,
4CCCC555,
4CCCCC03,
50000035,
50000A5B,
50005BBB,
5000B454,
5000BBB5,
50050BBB,
500B0BB5,
500BB0B5,
50B0BB05,
5350000A,
5400005B,
5500B50B,
5505005B,
5550005B,
55555004,
55555B05,
55555B07,
55555B5C,
555A350A,
555C0505,
55B000BB,
55B0500B,
55C00A05,
55C50505,
5A00005B,
5AAA5AC5,
5B005004,
5B0B00BB,
5B5000B5,
5BB00B05,
5BB5000B,
5BBB0005,
5BBBC005,
5BC00045,
5C0050A5,
5C050555,
5C05500A,
5C055505,
5C0A000A,
5C0AAAAA,
5C5000A5,
5C5A0555,
5CA05005,
5CA0A00A,
5CAA000A,
5CAAA0AA,
60000092,
600066A3,
60009C04,
66666A63,
67999009,
7000001B,
70001087,
70007771,
70010102,
70011101,
70017071,
70070021,
70077701,
7008BBBB,
70177777,
701B7777,
70700021,
70707071,
70710002,
70801007,
7090008B,
70955555,
71007071,
71110007,
71170001,
71770001,
74BB5555,
75555554,
77000021,
77771011,
77777071,
77777101,
77777701,
7900800B,
7BBBBB4B,
800004BC,
80000887,
8008080B,
80088887,
80170007,
80211001,
80700017,
8080080B,
87700007,
8777771B,
8800001C,
88000087,
8808000B,
88100077,
88222777,
88271777,
8870001B,
888001B7,
8880B01B,
88881017,
88881707,
8888881C,
9000018B,
90000866,
904C4444,
90888808,
90900007,
90999959,
90999C5C,
90C44444,
90C9CCC5,
91BBBB0B,
92999111,
9440000C,
95555543,
95555554,
96664444,
99094433,
99099959,
9918BBB7,
99964444,
999664CC,
99990995,
99999121,
99999433,
9999953C,
99999644,
99999943,
99999B21,
99999BC9,
99C0940C,
99C9994C,
9BBBBBB4,
9BC00009,
9C888808,
9CCC095C,
9CCCCC95,
A000B5BC,
A0CC5055,
A0CC5505,
A0CCC555,
A350000B,
A5C0A00A,
A5CA000A,
AA000A5C,
AA5C000A,
AC666333,
ACC55555,
B000003B,
B0000095,
B0000974,
B0000ABB,
B0000BAB,
B000540B,
B0050B55,
B0055055,
B005BB0B,
B0099545,
B00A5555,
B00BBABB,
B00BBB05,
B00BBB5A,
B00BBBBA,
B04BBB05,
B0500555,
B0505B0B,
B0555054,
B05B5005,
B07B40BB,
B07BBBB5,
B0B005BB,
B0B00B0A,
B0B55BBB,
B0B5B00B,
B2900007,
B40000B5,
B4000505,
B4BBB005,
B5000B55,
B505BBBB,
B50BB00B,
B550005B,
B550050B,
B5505005,
B555543B,
B74B00BB,
B777B277,
B7B400BB,
B7BB400B,
BA0B0005,
BAB0000B,
BB007B4B,
BB05005B,
BB3B0007,
BB755554,
BBA0000B,
BBBB4443,
BBBB7B05,
BBBBB075,
BBBBB50B,
BBBBB53A,
BC005405,
BC055554,
BC540005,
C000333A,
C00033C5,
C000A0A5,
C000AAA5,
C0040555,
C00455C5,
C0045C55,
C005055A,
C0055504,
C00AAA5C,
C00AC555,
C00C55A5,
C00C5A55,
C00CA555,
C055050A,
C05CA505,
C094000C,
C0A00A5C,
C0A50055,
C0C0005C,
C0C00692,
C0C0333A,
C505050A,
C555055A,
C5555504,
C55C5055,
C5A55055,
CA000A5C,
CA0C5505,
CA555AAA,
CA5AAA55,
CACC5505,
CC0009C2,
CC055AC5,
CC5005A5,
CC555055,
CC5A5555,
CC5C0A55,
CCA50055,
CCC0003A,
CCC0A555,
CCC55AC5,
CCC5C5A5,
CCCA0555,
CCCAC05A,
CCCC0995,
CCCC35C9,
CCCCC05C,
100000082,
100008017,
100077071,
101070071,
101700071,
108100007,
110007101,
110080001,
110700071,
118000001,
120001007,
170007071,
170070701,
177010007,
177070001,
181770007,
200001101,
300000035,
30000005B,
30333335C,
333333067,
3333336A3,
333333995,
33333AC33,
3366666A3,
377777777,
4000000C3,
40000BC55,
40005C053,
4000BC055,
40B000055,
444444443,
4B0000505,
4BBC00005,
500000B54,
5000400BB,
50005B50B,
5000B4005,
500B0B0BB,
500B40005,
500BB00BB,
50540000B,
505B0BBBB,
50B0005B5,
50B00B0B5,
50B500004,
50BB0B005,
50BB0BBBB,
5400000B5,
5400000BB,
55000055B,
5500005B5,
5500050B5,
555555553,
555555A3A,
5555A300A,
5555AAAC5,
555CAAAAA,
55AAAAAC5,
55C000555,
55C550005,
59C000003,
5B0000504,
5B000B0B5,
5C0000AAA,
5C000550A,
5C0055A55,
5C00A5555,
5C050A005,
5C500005A,
5C500050A,
5C500500A,
5C5050505,
5C5055005,
5C50A5505,
5C5550005,
5C55AAAAA,
5C9000003,
5CA000505,
5CA000A55,
5CA00AAAA,
5CA055AAA,
5CA0AAA0A,
5CA55AAAA,
5CAAAAA55,
6000000A3,
60A366666,
6A3666666,
7000000B7,
700001021,
700007221,
700077101,
700080107,
700700012,
700B77777,
701001101,
701007077,
701700701,
702000002,
707100017,
707200007,
707710001,
710000117,
710100011,
711100777,
717100007,
74B000003,
770001011,
770077771,
770200001,
770700071,
771000011,
771000107,
771070001,
777000701,
777070771,
788001007,
799090999,
799099909,
799909099,
7B0000005,
80000877B,
800011001,
800110001,
870007001,
877700002,
8800700B7,
881070007,
887000B07,
8880001BB,
909990007,
90999995C,
909CCCCC5,
911500001,
928888888,
940444444,
944444044,
955500007,
988666666,
990944444,
99909995C,
9990999C5,
999929444,
99999095C,
99999640C,
99999664C,
99999994C,
999999B44,
99B290007,
99C909995,
99CC99995,
9BBBBB40B,
9CC999995,
9CCC9CCC5,
9CCCCC53C,
A000005CA,
A00000A5C,
A00000C5A,
A0A00005C,
A0C500055,
A0C500505,
A3333335A,
A8BBBBBBB,
AAAC55555,
AAC555AAA,
AC000005A,
AC0005505,
AC0055005,
AC0550005,
AC05AAAAA,
AC5005555,
AC5500005,
AC5550055,
ACCC50505,
ACCCCC555,
B000000B3,
B000005BA,
B0000A0B5,
B0000BB3B,
B00050BBB,
B00500405,
B00555005,
B00B3000A,
B0400B005,
B0540000B,
B09555554,
B0AB00005,
B0BBB05BB,
B0BBBBBA3,
B40050005,
B44444444,
B45000005,
B50000BBB,
B500BBBBB,
B505B000B,
B50B00055,
B50B00505,
B5BB0000B,
B5BC00505,
B5C400005,
B90000009,
BA000B005,
BB00000BA,
BB00050BB,
BB7BBB005,
BBBBBB443,
BBBBBBBB3,
BC0000545,
BC5000045,
C0000003A,
C000005AA,
C00050044,
C000555AA,
C000555C4,
C00055AC5,
C0005A505,
C0005C55A,
C000A5505,
C0550005A,
C0555AAAA,
C055A0005,
C055AAAA5,
C05C0055A,
C05C0505A,
C0A005505,
C0A0AAAA5,
C0AAAA555,
C0AC00555,
C50000404,
C5000550A,
C550005AA,
C555555C5,
C55555AAA,
C55C55555,
C5A500005,
C5A5555AA,
C5A5AA555,
C5A5AAAA5,
C5AAAAA55,
C5C505004,
CACCC5055,
CC0005A55,
CC000A555,
CC005A055,
CC00A0555,
CC00A5505,
CC00C0692,
CC0A55005,
CCA550005,
CCAAAA555,
CCC00333A,
CCC55C555,
CCCC0C092,
CCCC333AC,
CCCC9CC95,
CCCCC5AC4,
CCCCCA5CA,
1000000091,
1010008001,
1071000008,
1099999999,
1100710001,
1110000077,
1201000007,
1707000077,
2700000077,
3033333335,
333333359C,
4000000054,
400000008B,
4000005004,
400000505B,
4036666666,
4044443666,
455555553B,
48BBBBBBBC,
50000040BB,
500000540B,
50000BB50B,
50B500005B,
50BB0000B5,
5550000004,
555555535C,
55CA000005,
55CA005505,
5B000000BA,
5B00000BB5,
5B000BBBBB,
5B00B0000A,
5B0B0000B5,
5B5005000B,
5BB000000A,
5BB00000BB,
5C0000055A,
5C000A5005,
5C500A0005,
6679000009,
70000008BB,
7000007881,
7000008017,
7000008817,
7000710107,
7000880017,
7010001011,
707B777777,
707B77777B,
7100000009,
7100007077,
7100007107,
7100700107,
7400B00003,
7455555553,
74BB000055,
7700007071,
7720000001,
7720000007,
7771000001,
77B0777777,
7900000009,
7909000099,
7909990099,
7BBBBBBB0B,
8117777777,
8777777777,
8817000007,
8888870707,
9000000011,
900000011C,
900000B999,
9044444444,
9088888888,
9090999907,
90999999B9,
909999C9C5,
90999CCCC5,
99099CCCC5,
9999999B29,
999999C05C,
99CCCCC359,
A00000A0C5,
A000A0005C,
A000A000C5,
A55555555B,
AA0AAAC555,
AAAAAC5055,
AB0000000A,
AC50000055,
AC63333333,
B000050405,
B000054005,
B0000B05BB,
B000504005,
B000777777,
B050004005,
B055500005,
B077777777,
B0A5000005,
B50000055B,
B500004005,
B50000505B,
B50005500B,
B50B500005,
B555000005,
B55500000B,
B5BC500005,
BA5C000005,
BBABBBBBBB,
BBB0B00005,
BBBB7BBB0B,
BBBBB07777,
BBBBB4440A,
BBBBBBB44A,
BC50004005,
C000000935,
C000009505,
C00005A055,
C0000A0555,
C000A00555,
C00A055005,
C00AAAAAC5,
C0A00000A5,
C0AAAAAA5C,
C5005A0005,
C99940000C,
C999400CCC,
CA05500005,
CCAAAAAC5C,
CCC00055A5,
CCC5C05555,
CCCCCA005A,
CCCCCCA555,
CCCCCCC359,
17070007001,
17077000001,
17700000107,
19999999399,
21700000001,
26666666999,
33000000067,
333333333AC,
33333337777,
33933333335,
4000000053B,
4000000055B,
4000005500B,
4000055000B,
4055000000B,
4500000050B,
50000000B45,
500000B0BBB,
504BBBBBBBB,
50B00000BBB,
5400500000B,
550B500000B,
55555CAAA0A,
55BBBBBBBBB,
5B040000005,
5B50000005B,
5BB0000BBBB,
5BBBBBBBBBB,
5C05A000005,
5C55A555555,
5CA0000000A,
5CA00005555,
5CAAAAAAA0A,
5CAAAAAAAAA,
70101100001,
70880000017,
71000000717,
71000017001,
71000701007,
77100000071,
77B7777777B,
78000001007,
79090009999,
7BBBBB00005,
86670000002,
88888817777,
8BBBBBBBBBC,
90000000B9C,
909999999BC,
9099999CCC5,
9444444400C,
98888888888,
99399999991,
99999969664,
999999909C5,
9999999CC59,
999999B2907,
999999CCCC5,
999CCCCCC59,
A0A000000C5,
A5C0000000A,
AAAAAAAAA5C,
AAAAAAAC50A,
AAAAAAAC5AC,
AAAAAC55005,
AAC50000505,
AC050000505,
B0000000305,
B000000054B,
B0000000554,
B0000000AB5,
B0000005BBB,
B000005B505,
B0000A50005,
B0000BBBBB5,
B40B0000005,
B4BBBBBBBBC,
B5000005B0B,
B500000B05B,
B55B000000B,
B5B5C000005,
B5BBBBBBB0A,
B7B77777777,
BB0007B0BBB,
BB05050000B,
BB55000000B,
BB77777777B,
BBB07000BBB,
BBBBBB0BBBA,
BBBBBBB5B0A,
BBBBBBBB5BB,
BC000000554,
C0000005C44,
C00000A5055,
C0003333335,
C0009999995,
C0550500004,
C05AAAAAAAA,
C50000A5005,
C555AAAAAAA,
C5C55000004,
CA0000000A5,
CCAAAAAAAA5,
CCCCCCC0005,
CCCCCCC0C92,
CCCCCCCAC5A,
CCCCCCCC539,
CCCCCCCCCC5,
100000000028,
100000000817,
100000001117,
100000001717,
100770000017,
177000000077,
1C9999999999,
40000000B5C5,
5000000BB0BB,
5505000000B5,
555555555C0A,
55C050000055,
5B0000000054,
5B0000000BBB,
5BB000000004,
5C0000000404,
5C0000005A05,
5C00005A0005,
5C5050000055,
5C50A0000005,
5CA000000055,
5CA550000055,
668888888887,
700000000202,
700000101011,
708000000017,
710000000771,
710110000001,
717000000071,
790990099999,
810000010001,
888888888872,
94444444444C,
94C444444444,
994000000003,
9999999999B2,
999999999B9C,
999999999C53,
9999999CCC53,
999CCCCCCC53,
99C999999959,
9C9999999995,
A0500000005B,
A0C555555555,
A0C5AAAAAAAA,
A5000000005B,
AA0C5AAAAAAA,
AAAAA555C0AA,
ABBBBBBBBBBB,
B00000005045,
B0000000BB0A,
B0000000BBB5,
B00000055505,
B000005BBBBB,
B050000005BB,
B055BBBBBBBB,
B05BBBBBBBBB,
B0BBBB0B0005,
B1BBBB00000B,
B2200000000A,
B50000005055,
B54000000005,
BBBBBBBBB40A,
BBBBBBBBBB5A,
BBBBBBBBC50A,
C0000000AA5C,
C00000095555,
C50000000A55,
C555555555C4,
C99999999959,
CA0000005A55,
CA555555555A,
CCCCCC0055A5,
CCCCCC55A005,
CCCCCCCC5A04,
CCCCCCCCC5A4,
1000000000217,
1500000000001,
1700000770001,
1999993999999,
1B0000000000B,
1BBBBB000000B,
3333333335777,
3333363333367,
500000004BBBB,
5000000BBBBBB,
5005B5000000B,
504500000000B,
55500000000B5,
555C500000005,
5B00000400005,
5B50000000004,
5C55555555554,
5CA5000000005,
6333333333637,
7000000010111,
7000000017701,
7007700000071,
7010000000777,
7070777777771,
7090999999999,
7100007000017,
7170000001007,
7222222222022,
74000000B0003,
7700000000012,
7710100000007,
777777777777B,
7801000000007,
7880000000107,
8088888888887,
8880000000001,
8888888810077,
8888888888881,
9100000000001,
9664444444444,
9733333333333,
9929999999444,
9994444444444,
9999940000CCC,
9999993999991,
9999999995744,
9999999999694,
9999999999911,
999999999C95C,
9CCCCCCCCC035,
A36666666666A,
AAAAAAAAAAC5A,
AAAAAAAAC555C,
ABBBBBBBBB444,
B0BBBBBBBB0B5,
B4B0000000005,
B500000000555,
BBBB0BBBBBBBA,
BBBBBB0000005,
BBBBBBBBB7744,
BBBBBBC000005,
C05000000055A,
C0C9099999995,
C333333333509,
C50050000005A,
C505A00000005,
CCCCCCC55555C,
CCCCCCCCC0092,
10001110000007,
29999999999111,
4BC00000000055,
50000000000743,
500000BBBBBBB7,
57777777777707,
5C5A0000000005,
60A33333333333,
63333333333377,
68888887777777,
70000000007021,
7000000000BB3B,
72000000000022,
74000000000053,
77770777777771,
88000000000001,
88888888881077,
8BB00000000007,
99909999999995,
99999999999059,
999999999997B4,
999999999C9CC5,
99999999C99959,
9BBBBB4BBBBBBB,
9C333333333335,
A0AAAAAAAAAAC5,
AA0AAAAAAAAAC5,
B0000000000077,
B000BBBBBBBBB5,
B0BBBBBBBBBB0A,
B1BBBBBBBBBB0B,
B540000000000B,
B5BC0000000055,
BBBBBBB7000005,
BBBBBBBBBBBC0A,
C0000000005039,
C000000005550A,
C000000005A55C,
C3333333333359,
C55A0000000005,
CA000000055005,
CCCCCCCCCCC092,
107700000000071,
170000000077001,
170700000000071,
177000000007001,
177700000000001,
1BBBBB777777777,
310000000000009,
333363333333637,
363333333333367,
4000000000B0055,
40005000000005B,
4B5000000000005,
50000000000BB5B,
55555555555CAAA,
5C5000000050055,
5C550000000000A,
666666666A33333,
666A33333333333,
701000000000111,
710000000000171,
710007000000017,
710070000000017,
800000000017007,
810000100000001,
888888888777077,
90400000000000C,
944444444444444,
999999999995944,
AAAAAAAAAAAC005,
AB500000000000B,
B0000000000A505,
B0BBBBBBBBBB05B,
BA5000000000005,
BB000000000040B,
BBBBBBBBBBB7777,
C00000000000539,
C0000000000555A,
C5500000000005A,
CCCCCCCAAAAAA5C,
1100000000000801,
1700000000000072,
3333336333333337,
4366666666600006,
550000000000BB74,
5555555555555554,
55B500000000000B,
7077000000000071,
7700000000000771,
7900000999999999,
8BBBBBBBBBBB0B0B,
9099999999999CC5,
99999999999999BC,
999999999C999995,
9BBB000000000007,
AC00000000005055,
B000000000050555,
B000050000000045,
B0400000000000BB,
B0BBBBBBBBBBB005,
BB5000000050000B,
C00A000000000555,
C00A550000000005,
C0A5500000000005,
C940000000000CCC,
CA55000000000005,
CA5AAAAAAAAAAAAA,
10000000000000778,
11700000000000071,
19999999999999915,
29999999444444444,
33333333333333377,
33333333333933335,
5540000000000000B,
5555555555555555B,
55555555555555AC5,
59000000000000003,
5C500000000000555,
600666666666666A3,
70000010000000111,
70999999999990009,
77700000000000002,
77700000000000071,
79099999099999999,
79999999909000009,
79999999999990909,
7BBBBBBBBBBBBB005,
88888888888887707,
88888888888888807,
9999940000000000C,
9999999999999C905,
AAAAAAAAAAAAAAAC5,
AAAAAAAAAC0000005,
AC555555555555555,
BB50000000000500B,
BBBBBBBBBBBBBBBCA,
C0000000000000AA5,
C0000000000005A55,
333333333363333337,
430000000000000006,
436666000000000006,
4A000000000000000B,
700000000000000013,
771000000000000002,
790009999999999999,
800200000000000001,
955555555555555505,
B000000000000B5B0B,
B40B0000000000000B,
BBBBBBBBBBBBBBB077,
C0000000000000005C,
CA0AAAAAAAAAAAAAA5,
1011100000000000007,
1B77777777777777777,
400500000000000005B,
4366666660000000006,
50000000000000B05B5,
7000000000000071017,
7007777777777777771,
7108000000000000007,
7777777777777777111,
7800000000000000017,
7BBBBBBBBBBBBBBBBB5,
800000000000000111C,
8BC000000000000000A,
9400000000000000CCC,
999999999999999C9C5,
AC00000000000000555,
C000000000000000335,
C000000000000000544,
C000000000000033335,
CC99999999999999995,
CCCC999999999999995,
33633333333333333337,
60000000000000000094,
67777777777777777777,
67999999999999999999,
71000000000001100001,
71110000000000000001,
7BBBBB0BBBBBBBBBBBBB,
87000000000000000002,
9BBBBBBBBBBB00000007,
B0500000000000000045,
B0A00000000000000B05,
B0BBB000000000000005,
C00000000000000055A5,
43B000000000000000005,
500000000000000000BB4,
6066666666666666666A3,
699999999999999999992,
709999999000009999999,
709999999990000099999,
7400000000000000000B3,
757777777777777777777,
870000000000000000071,
9BBBBBBBBBBBBBBBBBBBB,
B00000000000000005405,
B0B50000000000000005B,
BA00000000000000000B5,
BBBBBBBBBBBBBBBBBBB44,
BBBBBBBBBBBBBBBBBBB75,
C5000000000000005005A,
4366666666666666660006,
5B000000000000000005B5,
7700000000000000000111,
7940000000000000000005,
7999999999099999999999,
8020000000000000000001,
8700000000000000000017,
9099999999999999999995,
C090999999999999999995,
C50000000000000500005A,
17000000000000000007701,
17700000000000000000071,
33333333333333333363637,
33333333333333336333637,
4500500000000000000000B,
555555555555555555555CA,
5B000000000000000000405,
70000000000000000000721,
78810000000000000000007,
91000000000000000000003,
AAAAAAC0000000000000005,
AAAAAC00000000000000005,
AC333333333333333333333,
117100000000000000000001,
120000000000000000000107,
181000000000000000000007,
5A5C00000000000000000005,
5C5500000000000000000505,
74BBBBBBBBBBBBBBBBBBBBBB,
770777777777777777777771,
820000000000000000000111,
909999999999999999999007,
9BBBBBBBBBBBBBBBBB000007,
B0000000000000000000B5BB,
BBBBBBBBBBBBBBBBBBBBB05B,
CCA555555555555555555555,
CCAAA5555555555555555555,
1100000000000000000000003,
7099999999999999999990999,
7099999999999999999999909,
7170000000000000000000017,
999400000000000000000000C,
9999999999999999999999959,
B000000000000000000000B4B,
C000000000000000000005554,
CCCCCCC5C5555555555555555,
20000000000000000000000717,
4505000000000000000000000B,
79999999999999000999999999,
79999999999999999900099999,
79999999999999999999990009,
79999999999999999999990999,
88888888888888888888888777,
99999999999999999999999994,
436666666666666666666666606,
50B400000000000000000000005,
999999999999999999999999CC5,
BBBBBBBBBBBBBBBBBBBBBBB0B05,
BBBBBBBBBBBBBBBBBBBBBBBBC05,
4000000000000000000000000BB3,
7999999999999999000009999999,
8000000000000000000000001011,
9866666666666666666666666666,
CA0000000000000000000000005A,
19999999999999999999999999999,
77170000000000000000000000001,
8BBBBBBBBBBBBBBBBBBBBBBBBB0BB,
A3666666666666666666666666666,
BB500000000000000000000000055,
45000000000000000000000000003B,
C555555555555555555555555555AC,
7B77777777777777777777777777777,
9999999999999999999999999999C05,
A000000000000000000000000000AC5,
C55555555555555555555555555555A,
1500000000000000000000000000000B,
17100000000000000000000000000008,
71000000000000000000000000011001,
79999999999999999999999999999909,
90999999999999999999999999999997,
BB50000000000000000000000000050B,
BBBBBBBBBBBBBBBBBBBBBBBBBBBBB5BC,
269999999999999999999999999999999,
333333333333333333333333333393335,
933333333333333333333333333333335,
CCC55555555555555555555555555555C,
8000000000000000000000000000001707,
9455555555555555555555555555555555,
BB5B00000000000000000000000000000B,
1BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB7,
27700000000000000000000000000000007,
40BB0000000000000000000000000000005,
5000000000000000000000000000000054B,
754000000000000000000000000000000003,
B1000000000000000000000000000000000B,
C0AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA5,
3333333333333333333333333333333336367,
4000000000000000000000000000000000B55,
4055555555555555555555555555555555555,
940000000000000000000000000000000000C,
33333333333333333333333333333333336337,
79099999999999999999999999999999999999,
B01BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB,
C0000000000000000000000000000000000955,
50000000000000000000000000000000000043B,
C00000000000000000000000000000000099995,
405000000000000000000000000000000000005B,
4366666666666666666666666666666666666666,
8BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB00B,
BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB000005,
CA00000000000000000000000000000000005505,
33333333333333333333333333333333333339335,
BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB4A,
1000000000000000000000000000000000000000781,
4BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBC,
8000000000000000000000000000000000000000177,
BB5000000000000000000000000000000000000005B,
BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB05,
B00000000000000000000000000000000000000005555,
B00BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB5,
7100000000000000000000000000000000000000010011,
CA5A555555555555555555555555555555555555555555,
5CA55555555555555555555555555555555555555555555,
71000000000000000000000000000000000000000001011,
C0A000000000000000000000000000000000000000000555,
1BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB0000B,
B04BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB,
C500000000000000000000000000000000000000000005A05,
C0000000000000000000000000000000000000000000004555,
99999999999999999999999999999999999999999999999999C5C,
810001000000000000000000000000000000000000000000000001,
888888888888888888888888888888888888888888888888888887,
666666666666666666666666666666666666666666666666666A333,
AC5AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA,
BB000000000000000000000000000000000000000000000000005BB,
BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB5,
99999999999999999999999999999999999999999999999999999C95,
500000000000000000000000000000000000000000000000000000903,
517777777777777777777777777777777777777777777777777777777,
33333333333333333333333333333333333333333333333333333335C9,
4555555555555555555555555555555555555555555555555555555555,
8200000000000000000000000000000000000000000000000000000001,
B5000000000000000000000000000000000000000000000000000000054,
3333333333333333333333333333333333333333333333333333333333959,
B500000000000000000000000000000000000000000000000000000000405,
8BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB0A,
A055000000000000000000000000000000000000000000000000000000000B,
CA00000000000000000000000000000000000000000000000000000000000555,
C5A5555555555555555555555555555555555555555555555555555555555555555,
20000000000000000000000000000000000000000000000000000000000000000111,
C05000000000000000000000000000000000000000000000000000000000000000044,
333333333333333333333333333333333333333333333333333333333333333333333367,
B000000000000000000000000000000000000000000000000000000000000000000005B4,
1777777777777777777777777777777777777777777777777777777777777777777777777,
BBBBC0000000000000000000000000000000000000000000000000000000000000000000005,
B500000000000000000000000000000000000000000000000000000000000000000000000045,
722222222222222222222222222222222222222222222222222222222222222222222222222222,
AAAC000000000000000000000000000000000000000000000000000000000000000000000000005,
210000000000000000000000000000000000000000000000000000000000000000000000000000071,
99999999999999999999999999999999999999999999999999999999999999999999999999999939991,
6A3333333333333333333333333333333333333333333333333333333333333333333333333333333333333,
CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC9992,
5B400000000000000000000000000000000000000000000000000000000000000000000000000000000000005,
9000000000000000000000000000000000000000000000000000000000000000000000000000000000000000B9,
BBBBB7777777777777777777777777777777777777777777777777777777777777777777777777777777777777777,
7BBB0BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB,
708BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB,
C5AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA,
B50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000B5B,
710000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777,
BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBA,
B4B0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000B,
C0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000995,
C000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000005,
66666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666A3,
5405000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000B,
3A50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000B,
81BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB0B,
BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB40B,
5B5050000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000B,
800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001101,
C0333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333335,
707777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771,
CCCCCC55555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555,
81001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001,
33333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333335,
4550000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000B,
400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003,
9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999913,
577777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777,
BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB77,
500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000044,
9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999095,
100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007771,
999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991,
BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBC4,
8BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB,
7100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111,
75555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557,
9B00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009,
7B0BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB,
100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000093,
810100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001,
8110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001,
B777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777,
BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBC,
1BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB,
800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000087,
CC55555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555,
BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB74,
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999B,
100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000181,
9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995,
77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771,
930000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001,
72000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002,
17700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000017,
39000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001,
B000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000BBA,
(C^^10631)92,
C(5^^23755)C,
8(0^^32017)111,
9(5^^197420),
A(3^^592197)A}
14
{13,
15,
19,
21,
23,
29,
2D,
31,
35,
3B,
43,
45,
4B,
51,
53,
59,
5D,
65,
6D,
73,
75,
79,
7B,
81,
91,
95,
9B,
9D,
A9,
AB,
B3,
B9,
BD,
C5,
CB,
CD,
D9,
DB,
101,
111,
11D,
161,
17D,
1A1,
1D1,
205,
22B,
255,
26B,
285,
2BB,
30D,
33D,
349,
389,
3D3,
40D,
41D,
44D,
469,
471,
499,
4C1,
4D1,
50B,
525,
52B,
55B,
585,
58B,
60B,
61B,
683,
689,
6A3,
701,
71D,
741,
771,
77D,
7DD,
803,
80B,
825,
82B,
833,
839,
84D,
86B,
88D,
893,
8BB,
8D3,
983,
9A3,
A0D,
A1D,
A25,
A41,
A4D,
AC1,
AC3,
B05,
B41,
B5B,
B6B,
B85,
BA1,
BB1,
C49,
C61,
C83,
C89,
CC1,
D01,
D03,
D33,
D4D,
D61,
D71,
D7D,
D83,
DA1,
DA5,
DC3,
DD1,
10BB,
10DD,
128B,
18DD,
1B71,
1B8B,
1C41,
1D8D,
2BA5,
33A3,
347D,
3863,
3A7D,
40A1,
478D,
4809,
48C9,
48DD,
4C09,
4D8D,
56BB,
6049,
60C1,
6171,
61C1,
628B,
6409,
6461,
64A1,
6711,
6761,
67A1,
6A11,
6A71,
6B71,
6B8B,
708D,
748D,
7611,
780D,
7CA1,
8009,
8055,
807D,
8089,
80C9,
80DD,
837D,
8505,
88A3,
89C9,
8A05,
8A85,
8C63,
8C99,
8CC9,
9489,
94C9,
9869,
9899,
A063,
A071,
A0A1,
A0A3,
A303,
A603,
A611,
A633,
A663,
A83D,
A883,
A8A5,
AA01,
B02B,
B061,
B08B,
B10B,
BC01,
C0A3,
C141,
C171,
C401,
C441,
CCA3,
D005,
D055,
D08D,
D18D,
D1C1,
D225,
D80D,
D885,
DC11,
1062B,
11BBB,
1668B,
1B00B,
1BBBB,
1D00D,
1DD0D,
1DDDD,
2B225,
30083,
308A3,
33383,
338C3,
37A8D,
38883,
38AA3,
38DDD,
3A033,
3A8DD,
3AA83,
3AAA3,
3CA63,
40061,
400C9,
40601,
40641,
44141,
444C9,
44601,
44661,
44849,
44A01,
44AA1,
46061,
46411,
48489,
5B555,
5BA55,
5BBB5,
60A01,
60AA1,
64401,
66411,
66601,
66649,
6666B,
666B1,
66949,
66B11,
6BC11,
766C1,
7A661,
7AA11,
80649,
80669,
80699,
80885,
80949,
80AA5,
84409,
84849,
84889,
85A55,
86099,
86449,
86609,
86999,
86C09,
8700D,
884C9,
88805,
88809,
88899,
88B55,
89069,
89099,
89449,
89609,
89889,
89999,
8A5A5,
8AA55,
8AAA3,
8B555,
8BAA5,
8CAA3,
908C9,
90989,
94449,
98C09,
99089,
99409,
99949,
A0085,
A0A85,
A7A11,
A7A61,
A8005,
AA383,
AA711,
AA7A1,
AA855,
B011B,
B07C1,
B0C71,
B11BB,
B2225,
B5555,
B5AA5,
B67C1,
B76C1,
B7C11,
BB2B5,
BB88B,
BBB55,
C04A1,
C0A01,
C0AA1,
C3A03,
D3DDD,
DA8DD,
DD38D,
DDA63,
DDD25,
DDD55,
10006B,
11088B,
116B2B,
166B2B,
20008B,
300A33,
30A363,
3CA003,
400041,
400489,
401441,
404001,
404089,
404411,
404441,
404CC9,
406611,
40CCC9,
440001,
440409,
444041,
444611,
444641,
460011,
460041,
466401,
4A0001,
4A6AA1,
5BAAA5,
600411,
604041,
640011,
660441,
6666C1,
666A61,
6A0061,
6A0601,
6A6061,
6AAA61,
76A6A1,
8000A5,
85B5A5,
869669,
884049,
8885A5,
888669,
8886C3,
888BA5,
888C69,
889849,
896669,
898049,
900049,
900649,
908449,
940009,
969649,
988849,
990649,
A08555,
A33333,
A3A333,
A3A363,
A6A6A1,
A6AAA1,
A88855,
AAA085,
AAA3A3,
B0001B,
B000C1,
B00711,
B2000B,
B2AAA5,
B60071,
B66011,
B66071,
B666C1,
B66C11,
BA5A55,
BAA5A5,
BAAA55,
C00A11,
C00A71,
C3A333,
CA0333,
CA3AA3,
CAAA03,
CAAA11,
CAAAA1,
D1000D,
D3DA8D,
DDAAA3,
100008B,
100020B,
3000A03,
3000CA3,
308CCC3,
38CCCC3,
4000011,
4000449,
4040449,
4400089,
4440009,
4440011,
4440449,
4440889,
4444441,
4664441,
4666AA1,
46AAAA1,
4A66A61,
4CCCCC9,
6000001,
6000141,
6000441,
6000A61,
60A6661,
6666441,
6666661,
66A0001,
66A0661,
6AA6661,
6AA6AA1,
6B60001,
6B66661,
8884449,
8888849,
88888C3,
888CCC3,
9008409,
9008849,
9088049,
A000001,
A000383,
A006601,
A600601,
A660661,
A766AA1,
A7AAAA1,
AA6AA61,
AAA66A1,
AAAA661,
AAAAAA1,
BBB2AA5,
BBBB20B,
CA00011,
CAA3A33,
D144441,
DDDD0D5,
DDDD8DD,
1000002B,
1000800D,
1102000B,
1688888B,
30000A63,
40008849,
40400009,
444446A1,
46144441,
46666611,
4AA6A661,
60066141,
66614441,
666BBB2B,
6A600001,
80008005,
84444449,
866666C3,
90008889,
99999809,
999998C9,
A8DD5555,
AA6A6661,
AAAAA003,
C0000411,
CA000033,
10000080D,
11888888B,
300A00003,
3DDDDDD8D,
400000409,
400088889,
400444409,
440448889,
4AA666661,
600006661,
601444441,
606644441,
80000D805,
8D000000D,
8DD555555,
8DDDDD00D,
A00066661,
A88888885,
AAAAAA805,
AAAAAAA85,
C00000711,
CAAA33363,
CAAAAA363,
DD8555555,
DDDDDDD3D,
100000004D,
108000000D,
85555555A5,
8888888A55,
8C66666669,
8D85555555,
A8DDDDDDDD,
AAA7666661,
AAAAAA8A63,
B18888888B,
BBBBBBB2A5,
CAAAAAAA33,
D555555555,
D8D5555555,
300000000A3,
40888888889,
7000000004D,
88888885555,
8888888885B,
A0000000333,
AAAAAAAA8A3,
AAAAAAAAA63,
800000000085,
800000000D85,
808000000005,
866666666C69,
86CCCCCCCCC3,
A85555555555,
AAA000000003,
B00000000171,
8666666666699,
8885555555555,
8DDDDDDDDD085,
B88888888888B,
1088888888888B,
44444444444049,
AAAAAAAAAAA333,
404444444444009,
644444444444449,
8555AAAAAAAAAA5,
855555AAAAAAAAA5,
1000000000000000D,
40444444444488889,
66BBBBBBBBBBBBBBB,
BBBBBBBBBBBBBBB8B,
9888888888888888C9,
112000000000000000B,
4000000000000000889,
4044444444444444889,
85AAAAAAAAAAAAAAAA5,
99999999999988888889,
888888888888888888855,
4000000000000000000000849,
44448888888888888888888889,
99998888888888888888888889,
4444444444444444444444444489,
4444444444888888888888888889,
9999999988888888888888888889,
30A00000000000000000000000003,
888888888888888888888888888889,
8DDDDDDDDDDDDDDDDDDDDDDDDDDD805,
AAAAAAAAAAAAAAAAAAAAAAAAAAAAA03,
DD0DDDDDDDDDDDDDDDDDDDDDDDDDDDDD5,
4444444444444444444444448888888889,
8A55555555555555555555555555555555,
40444444444444444444444444444444409,
DD8DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD,
8555555555555555555555555555555555555,
99999999999999999999999999999999999989,
3A000000000000000000000000000000000000003,
888888888888888888888888888888888888888B5,
C000000000000000000000000000000000000000000007A1,
CA0000000000000000000000000000000000000000000000000003,
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA3,
44444444444444444444444444444444444444444444444444444444444444409,
6BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB2B,
18888888888888888888888888888888888888888888888888888888888888888888888888888888B,
8CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC3,
40000000000000000000000000000000000000000000000000000000000000000000000000000000000049,
88888888888888888888888888888888888888888888888888888888888888888888888888888888888888B,
8DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD85,
34DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD,
4(D^^19698)}
15
{12,
14,
18,
1E,
21,
27,
2B,
2D,
32,
38,
3E,
41,
47,
4B,
4D,
54,
58,
5E,
67,
6B,
6D,
72,
74,
78,
87,
8B,
92,
94,
9E,
A1,
A7,
B2,
B8,
BE,
C1,
CB,
CD,
D2,
D4,
E1,
ED,
111,
11B,
131,
137,
13B,
13D,
157,
15B,
15D,
171,
177,
197,
19D,
1B7,
1BB,
1D1,
1DB,
1DD,
234,
298,
311,
31B,
337,
33D,
344,
351,
357,
35B,
364,
377,
391,
39B,
39D,
3A4,
3BD,
3C4,
3D7,
3DB,
3DD,
452,
51B,
51D,
531,
53B,
551,
55D,
562,
571,
577,
5A2,
5B1,
5B7,
5BB,
5BD,
5C2,
5D1,
5D7,
634,
652,
681,
698,
717,
71B,
731,
737,
757,
75D,
77D,
79B,
79D,
7B1,
7B7,
7BD,
7D7,
7DD,
801,
852,
88D,
8D8,
91D,
93B,
93D,
95B,
95D,
971,
977,
97B,
97D,
988,
991,
9BD,
9C8,
9D1,
A98,
AAB,
B1D,
B31,
B3B,
B44,
B51,
B57,
B7B,
B7D,
B97,
B9B,
BB7,
BC4,
BD1,
BD7,
BDD,
C07,
C34,
C52,
C7E,
C98,
CC7,
CE7,
D0E,
D1D,
D31,
D51,
D5B,
D68,
D77,
D7B,
D91,
D97,
DA8,
DAE,
DCE,
DD1,
EB4,
EEB,
107B,
1091,
10B1,
1107,
110D,
1561,
1651,
1691,
1B01,
2052,
2502,
2522,
303B,
307D,
3097,
30BB,
30D1,
3107,
3361,
3701,
3907,
3B01,
3B0B,
3C97,
4434,
4498,
4834,
4898,
49A8,
4E34,
5037,
507D,
5091,
509B,
5107,
5161,
5202,
53C7,
5552,
570B,
590B,
590D,
59C7,
5A5B,
5C97,
5D0D,
5DAB,
6061,
6151,
6191,
6511,
6601,
6911,
707B,
7091,
7097,
70AE,
70BB,
70CE,
70DB,
7561,
760E,
7691,
76CE,
7907,
7961,
7A0E,
7A3B,
7AEE,
7B0B,
7BAB,
7C0E,
7C77,
7CAE,
7D0B,
7D61,
7DAB,
7E5B,
7E6E,
7E7B,
7EBB,
8098,
811D,
8191,
835D,
853D,
8881,
8908,
8951,
8968,
899D,
8D3D,
8D5D,
8D6E,
8DDD,
8E98,
9011,
9037,
9097,
90D7,
9301,
93C7,
95C7,
9611,
9631,
96A8,
9811,
9851,
989D,
990B,
990D,
998D,
99AB,
99C7,
99D8,
9A08,
9A9B,
9AA8,
9ABB,
9B61,
9BC7,
9D0B,
9DAB,
9DC7,
9DD8,
A052,
A304,
A502,
A55B,
A9BB,
AB04,
AB64,
B09D,
B107,
B10B,
B161,
B1AB,
B1C7,
B30D,
B3C7,
B50B,
B664,
B691,
B6A4,
B707,
B761,
B90D,
B961,
BA5B,
BABB,
BBAB,
BBB4,
BC37,
BC77,
C777,
C937,
C997,
D011,
D03D,
D05D,
D09B,
D0B1,
D0BD,
D101,
D10B,
D30D,
D3AB,
D507,
D50D,
D66E,
D761,
D7DE,
D811,
D85D,
D86E,
D89D,
D8C8,
D8E8,
D9AB,
D9D8,
DA3B,
DA9B,
DABB,
DB01,
DB61,
DBAB,
DC88,
DD07,
DD0B,
DD7E,
DD8D,
DDE7,
DE6E,
E252,
E33B,
E522,
E57B,
E7AE,
E7CE,
E898,
E997,
E9A8,
E9BB,
EA34,
EB5B,
EE98,
EEC7,
10017,
10B0D,
170AB,
17A0B,
19001,
19601,
1A09B,
1D0C7,
22E52,
2EA52,
30017,
3001D,
300B1,
301C7,
30334,
30631,
307AB,
3300B,
3333B,
36031,
36301,
37A0B,
37BBB,
39997,
3A30B,
3B0C7,
3D001,
3D601,
40034,
40968,
43334,
49668,
49998,
50022,
5009D,
501C7,
50222,
50507,
505C7,
50611,
50C57,
53007,
53997,
55537,
5555B,
5557B,
5599B,
56101,
56691,
56961,
5700D,
5755B,
59001,
59557,
59997,
5999D,
599DB,
59DDD,
5D99B,
5DD3D,
5DD9D,
60931,
63031,
65691,
66951,
69031,
69361,
69561,
70011,
70051,
7005B,
7006E,
7030D,
703AB,
70501,
70701,
707C7,
71601,
71951,
7300D,
7333B,
75001,
7555B,
75911,
76011,
76051,
766EE,
76EEE,
7700B,
77191,
77661,
7776E,
77771,
777BB,
77911,
77BBB,
79001,
7A05B,
7A66E,
7AA6E,
7AAAE,
7ACCE,
7C6EE,
7CCEE,
7CECE,
7CEEE,
7D3BB,
7E7C7,
7EECE,
80034,
80304,
80434,
809DD,
80A34,
84A34,
850DD,
85961,
86661,
88151,
88331,
88511,
88591,
88898,
890DD,
89998,
89D0D,
8D90D,
8E434,
90017,
90051,
900A8,
900DB,
901C7,
90C57,
90D8D,
91007,
91061,
9199B,
95997,
96068,
96561,
99397,
99537,
9999B,
999B7,
999D7,
999DB,
999DD,
99BBB,
99DBB,
99DD7,
99DDD,
9B007,
9B00B,
9B0AB,
9BB11,
9BBBB,
9D007,
9D08D,
9D537,
9D9BB,
9D9DB,
9DD57,
9DDB7,
9DDDB,
9DDDD,
A0A34,
A0B5B,
A0BBB,
A0E34,
A2E52,
A330B,
A8434,
A8834,
A8E34,
A909B,
AAA34,
AAE52,
AB0BB,
AB334,
ABB34,
AE034,
AE834,
AE99B,
AEA52,
AEE52,
B0011,
B0071,
B0077,
B00B1,
B0611,
B0A64,
B500D,
B599D,
B6101,
B7771,
B7911,
BA064,
BAAA4,
BAB34,
BB061,
BB304,
BB53D,
BB601,
BBB91,
BBB9D,
BBBBD,
BDA0B,
BDBBB,
D0088,
D00D7,
D0307,
D05C7,
D070D,
D0888,
D0B07,
D0BC7,
D0C08,
D0DC7,
D0DD8,
D1661,
D59DD,
D5D3D,
D5DDD,
D6611,
D700D,
D8D0D,
D900B,
D9908,
D999D,
D9BBB,
D9D9D,
D9DDB,
DB007,
DB00D,
DB1B1,
DB53D,
DB59D,
DB99D,
DBBB1,
DD0D8,
DD33B,
DD3B7,
DD3BB,
DD57D,
DD898,
DD9DD,
DDB37,
DDBDB,
DDD08,
DDD3D,
DDD5D,
DDD7D,
DDD88,
DDD9D,
DDDB7,
DDDC8,
DDDD7,
DDE98,
DE037,
DE998,
DEB07,
E0098,
E00C7,
E0537,
E0557,
E077B,
E0834,
E0968,
E3334,
E37AB,
E39C7,
E4034,
E5307,
E55AB,
E705B,
E750B,
E766E,
E76EE,
E8304,
E8434,
E9608,
E9C37,
EAE52,
EBB0B,
EC557,
EC597,
EC957,
1000BD,
1009AB,
10A90B,
1900AB,
190661,
19099B,
190A0B,
1A900B,
222A52,
2AAA52,
31000D,
330331,
333334,
3733AB,
373ABB,
3BBB61,
430004,
490068,
490608,
5000DB,
500D0B,
505557,
505A0B,
50D00B,
50DDDB,
50DDDD,
522222,
5500AB,
5500C7,
550957,
550A0B,
555A9B,
559057,
560011,
590661,
633331,
666331,
666591,
666661,
7050AB,
705A0B,
706101,
70A50B,
7300AB,
761661,
76666E,
777011,
777101,
77750B,
777A5B,
777CEE,
779051,
791501,
7E7797,
7ECCCE,
7EEE97,
800D9D,
808834,
836631,
83D661,
843004,
856611,
884034,
884304,
888E34,
88A434,
88AE34,
8A4034,
8AEE34,
8E8034,
8E8E34,
8EEE34,
9000BB,
9001AB,
900B07,
900D98,
903661,
905661,
906651,
9080DD,
9099A8,
909D9B,
90A668,
90DD9B,
90DDBB,
910001,
9100AB,
91A00B,
930007,
950001,
956661,
9909A8,
995907,
999068,
999507,
999907,
9B0B1B,
9B0BB1,
9BB01B,
9C5597,
9C5957,
9D09DD,
9D0D9D,
9D800D,
9DB307,
9DD09D,
A00034,
A0033B,
A033B4,
A2A252,
AAAA52,
ABBBBB,
B00004,
B0001B,
B0003D,
B00A04,
B0555B,
B07191,
B07711,
B07777,
B0B911,
B0BDBB,
B77011,
B777C7,
BB0001,
BB0034,
BB035D,
BB055B,
BB0BDB,
BB9101,
BBB0DB,
BBB50D,
BBBB01,
BBD0BB,
C55397,
C55557,
C55597,
D0003B,
D00057,
D0007D,
D000B7,
D000C8,
D008DD,
D00DAB,
D0333B,
D05537,
D099DD,
D09DDD,
D0DDBB,
D555C7,
D5C537,
D88008,
D88088,
D888EE,
D909DD,
D9D0DD,
D9DD0D,
DB0BBB,
DBBB0B,
DBBB0D,
DC0008,
DC5537,
DDDDD8,
DDDEBB,
DDE99B,
DE0808,
DE0C57,
DE300B,
DE5537,
DE8888,
DEE088,
DEE307,
DEE888,
DEEE37,
DEEE57,
DEEEC8,
E0000B,
E007BB,
E00A52,
E03BC7,
E07ABB,
E09B07,
E0A99B,
E0C397,
E0E76E,
E50057,
E55007,
E55597,
E55937,
E730AB,
E73A0B,
E80E34,
E88834,
E8E034,
E90008,
E95557,
EA099B,
EE4304,
EE5057,
EE5507,
EE8E34,
EE9307,
EEE434,
100001D,
1000A9B,
1000DC7,
22AA252,
3000BC7,
3033301,
3076661,
333B304,
33B3034,
3B33304,
3D66661,
50007AB,
5005957,
5500597,
5550057,
5559007,
5559597,
5595007,
5966661,
5DDDDDB,
6366631,
7010001,
7066651,
7100061,
733BBBB,
766A6AE,
77505AB,
7776501,
777775B,
777AACE,
777ECCE,
777EEAE,
7CCCCCE,
7E30A0B,
7EEEEAE,
8300004,
8363331,
8693331,
880E834,
8833304,
8888034,
8888434,
888A034,
88A3334,
88E8834,
88EE034,
88EE304,
8AA3334,
8D0009D,
8EE8834,
9000361,
9000668,
9003331,
9005557,
9006008,
9008D0D,
9083331,
9090968,
90BBB01,
90D0908,
9500661,
9555597,
9555957,
9660008,
9900968,
9995597,
9996008,
9999557,
9999597,
9999908,
9A66668,
A003B34,
A003BB4,
AA22252,
B00B034,
B00B35D,
B033334,
B0B6661,
B0BB01B,
B100001,
B333304,
B777777,
B99999D,
BA60004,
BAA0334,
BBB001B,
BBB6611,
BBBBB11,
BBBD00B,
BD000AB,
D0000DB,
D009098,
D00CCC8,
D00D908,
D00D99D,
D03000B,
D0BB0BB,
D0D9008,
D0D9998,
D1000C7,
D800008,
D8DDEEE,
D90080D,
DBBBBBB,
DD09998,
DDD5557,
DDDDBBB,
DDDDDBD,
DDDE8EE,
DECC008,
DECCCC8,
DEE0CC8,
DEEC0C8,
E000397,
E0003BB,
E000434,
E00076E,
E000937,
E007A5B,
E00909B,
E0090B7,
E009307,
E00B077,
E00E434,
E00E797,
E00E937,
E05999B,
E09009B,
E0900B7,
E0E0937,
E0E7E97,
E0EAA52,
E0EEA52,
E555057,
E5555C7,
E7777C7,
E77E797,
E88EE34,
E999998,
EA5999B,
EB000BB,
EB0BBBB,
EE00434,
EE0E797,
EEE076E,
EEE706E,
EEE8834,
EEEE557,
EEEE797,
30333331,
30B66661,
33000034,
33030004,
33B33004,
500575AB,
55000007,
5500075B,
55500907,
55555057,
55555907,
55559507,
60003301,
60033001,
60330001,
7000003D,
70106661,
70666611,
77000001,
7777770B,
777777C7,
77777ACE,
77777EAE,
777E30AB,
777E3A0B,
7CCCC66E,
800005DD,
88AA0834,
90000008,
900008DD,
90099668,
90500557,
90555007,
90666668,
90909998,
90990998,
90996668,
9099999D,
90D00098,
90D90998,
95500057,
99099098,
99555057,
99900998,
99966608,
99966668,
99999668,
99999998,
9D009008,
9D090998,
A0803334,
A2222252,
AAA52222,
B00005AB,
B000B55B,
B0BBBB5B,
B3330034,
BB0BBB1B,
BBAA3334,
BBB0BB1B,
BBB0BB5B,
BBDB000B,
D000BBBB,
D00100C7,
D8888888,
D900008D,
D9000098,
DBB000BB,
DC0CCCC8,
DCC0CCC8,
DCCCC008,
DD000908,
DD09009D,
DDDDDDAB,
DDDDDEEE,
DDDEEE8E,
DDDEEEE8,
DEE80008,
E0777E97,
E0E0E397,
E0E77797,
E0EE0397,
E7777797,
E9066668,
EE00E397,
EE077797,
EE0E0397,
EEE00797,
EEE07E97,
EEE0AA52,
EEE55397,
EEE55557,
EEEAAA52,
EEEEE834,
EEEEEA52,
300003331,
300007661,
300330031,
333000004,
333300001,
333B00034,
3700000AB,
3B3300034,
500000057,
555555007,
555555557,
5DDDDDDDD,
600000331,
7500000AB,
75000A00B,
75A00000B,
761000001,
77000E0C7,
777700EC7,
7777730AB,
7777777AE,
77777EE97,
7777E7E97,
777999997,
7A500000B,
7BBBBBB5B,
88888A834,
900000031,
900666608,
909990098,
90D009998,
950000557,
966666008,
990000007,
990555507,
999999997,
A000000B4,
A0005999B,
AAEEEEE34,
B000AA334,
BBBBB005B,
BBBBBBB5B,
D09999998,
D0D90009D,
D800000DD,
D90009998,
DCCCC0CC8,
DE88EEEEE,
DEEEEEE88,
E000B7777,
E000BBBBB,
E003ABBBB,
EE0000797,
EE0EEE397,
EE5555557,
EE777EE97,
EEEEEE537,
EEEEEE937,
2222222252,
3000000071,
3330030001,
3333303001,
3333330001,
500000007B,
5555555097,
7000000071,
77000000C7,
8333333331,
8888883334,
8888888834,
888888AA34,
900000009B,
900000009D,
900000DD9D,
9000099998,
9955555507,
9D0000099D,
9D05555557,
AB0000005B,
B000000DAB,
B00000BBDB,
BB00BB0B5B,
BB0BB00B5B,
D000099998,
D00090008D,
D0D000909D,
D0DDDDDDDB,
D300000007,
D88EEEEEEE,
D900999998,
DD00900008,
DDD6EEEEEE,
DDDDDDD6EE,
DDDDDDDDDE,
DDDEEEEEEE,
DEEEEE8008,
E000000797,
7777777CCCE,
88888830004,
90000009D9D,
99955555557,
9999999999D,
B00000D00AB,
BB000BBB05B,
BBBB0000B5B,
D000009080D,
D000090800D,
D090800000D,
DDDDDDD999B,
DDDDDDDDD9B,
EEEEEE00397,
EEEEEEE0397,
333000000301,
5000000000DD,
73A00000000B,
9000000000B7,
903333333331,
ABB00000000B,
D000000001C7,
DCCCCCCCCCC8,
E0EEEEEEE397,
19A000000000B,
3333333333331,
3BBBBBBBBBBBB,
9333333333331,
A00000000099B,
B00000000050D,
EEEEEEEEEE76E,
1000000000999B,
71000000000001,
908D000000000D,
BBBBBBBBBB6661,
77777777777777B,
BB00000000BBB5B,
DEEEEEEEEEEEEEE,
7777777777777E97,
B0BBBBBBBBBBBB1B,
BB0000000000DB0B,
D000000000000998,
D908000000000000D,
DDDDDDDDDDDDDDDDB,
E9666666666666668,
3330000000000000031,
D00000000000000908D,
E0BBBBBBBBBBBBBBBBB,
2EEEEEEEEEEEEEEEEE52,
77777777777777777ECE,
5000000000000000005AB,
777777777777777777997,
7BBBBBBBBBBBBBBBBBBBB,
BB0000000000000000DBB,
DD000000000000000909D,
D900000000000000000DDD,
DD0000000000000000099D,
BBBBBBBBBBBBBBBBBBBBBB1,
B00000000000000000000005B,
B0700000000000000000000001,
B70000000000000000000000001,
705000000000000000000000000B,
633000000000000000000000000001,
EBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB,
500000000000000000000000000000000017,
77777777777777777777777777777777777777777777777777777777777CCE,
7777777777777777777777777777777777777777777777777777777777777777777777777CE,
96666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666608,
EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE397,
7777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777797}
16
{11,
13,
17,
1D,
1F,
25,
29,
2B,
2F,
35,
3B,
3D,
43,
47,
49,
4F,
53,
59,
61,
65,
67,
6B,
6D,
71,
7F,
83,
89,
8B,
95,
97,
9D,
A3,
A7,
B3,
B5,
BF,
C1,
C5,
C7,
D3,
DF,
E3,
E5,
E9,
EF,
F1,
FB,
14B,
15B,
185,
199,
1A5,
1BB,
1C9,
1EB,
223,
22D,
233,
241,
277,
281,
287,
28D,
2A1,
2D7,
2DD,
2E7,
301,
337,
373,
377,
38F,
3A1,
3A9,
41B,
42D,
445,
455,
45D,
481,
4B1,
4BD,
4CD,
4D5,
4E1,
4EB,
50B,
515,
51B,
527,
551,
557,
55D,
577,
581,
58F,
5AB,
5CB,
5CF,
5D1,
5D5,
5DB,
5E7,
623,
709,
727,
737,
745,
74B,
755,
757,
773,
779,
78D,
7BB,
7C3,
7C9,
7CD,
7DB,
7EB,
7ED,
805,
80F,
815,
821,
827,
841,
851,
85D,
85F,
8A5,
8DD,
8E1,
8F5,
923,
98F,
99B,
9A9,
9EB,
A21,
A6F,
A81,
A85,
A99,
A9F,
AA9,
AAB,
ACF,
B1B,
B2D,
B7B,
B8D,
B99,
B9B,
BB7,
BB9,
BCB,
BDD,
BE1,
C0B,
CB9,
CBB,
CEB,
D01,
D21,
D2D,
D55,
D69,
D79,
D81,
D85,
D87,
D8D,
DAB,
DB7,
DBD,
DC9,
DCD,
DD5,
DDB,
DE7,
E21,
E27,
E4B,
E7D,
E87,
EB1,
EB7,
ED1,
EDB,
EED,
F07,
F0D,
F4D,
FD9,
FFD,
1069,
1505,
1609,
1669,
16A9,
19AB,
1A69,
1AB9,
2027,
204D,
2063,
207D,
20C3,
20ED,
2221,
22E1,
2327,
244D,
26C3,
274D,
2E01,
2E0D,
2ECD,
3023,
3079,
3109,
3263,
3341,
36AF,
3941,
3991,
39AF,
3E41,
3E81,
3EE1,
3EE7,
3F79,
4021,
40DB,
440B,
444B,
44A1,
44AB,
44DB,
4541,
45BB,
4A41,
4B0B,
4BBB,
4C4B,
4D41,
4DED,
5045,
50A1,
50ED,
540D,
5441,
555B,
556F,
5585,
560F,
56FF,
5705,
574D,
580D,
582D,
5855,
588D,
5A01,
5AA1,
5B01,
5B4B,
5B87,
5BB1,
5BEB,
5C4D,
5CDD,
5CED,
5DD7,
5DDD,
5E0D,
5E2D,
5EBB,
68FF,
6A69,
6AC9,
6C8F,
6CA9,
6CAF,
6F8F,
6FAF,
7033,
7063,
7075,
7087,
70A5,
70AB,
7303,
7393,
74DD,
754D,
7603,
7633,
7663,
7669,
7705,
772D,
775D,
77D5,
7807,
7877,
7885,
7939,
7969,
7993,
79AB,
7A05,
7A69,
7A9B,
7AA5,
7B77,
7BA9,
7D4D,
7D75,
7D77,
8077,
808D,
80D7,
80E7,
8587,
86CF,
8777,
8785,
8885,
88CF,
88ED,
88FD,
8C6F,
8C8F,
8E8D,
8EE7,
8F2D,
8F8D,
9031,
9041,
90AF,
90B9,
9221,
9319,
9401,
944B,
9881,
9931,
9941,
9991,
99AF,
9A0F,
9A1B,
9A4B,
9AFF,
9BA1,
9BB1,
9CAF,
9E81,
9EA1,
9FAF,
A001,
A05B,
A0C9,
A105,
A10B,
A4CB,
A55B,
A6C9,
A88F,
A91B,
A9B1,
A9BB,
AA15,
AB01,
AB0B,
AB19,
ABBB,
AC09,
AF09,
B041,
B04B,
B069,
B07D,
B087,
B0B1,
B0ED,
B1A9,
B201,
B40B,
B40D,
B609,
B70D,
B7A9,
B807,
B9A1,
BA41,
BAA1,
BB4B,
BBB1,
BBDB,
BBED,
BD19,
BD41,
BDBB,
BDEB,
BE07,
BEE7,
C0D9,
C203,
C24D,
C6A9,
C88D,
C88F,
C8CF,
C8ED,
C9AF,
C9CB,
CA09,
CA4B,
CA69,
CAC9,
CC0D,
CC23,
CC4D,
CC9B,
CD09,
CDD9,
CE4D,
CEDD,
CFA9,
CFCD,
D04B,
D099,
D405,
D415,
D44B,
D4A5,
D4DD,
D50D,
D70B,
D74D,
D77B,
D7CB,
D91B,
D991,
DA05,
DA09,
DA15,
DA51,
DB91,
DBEB,
DD7D,
DDA1,
DDED,
DE0B,
DE41,
DE4D,
DEA1,
E02D,
E07B,
E0D7,
E1CB,
E2CD,
E401,
E801,
EABB,
EACB,
EAEB,
EBAB,
EC4D,
ECDD,
ED07,
EDD7,
EE7B,
EE81,
EEAB,
EEE1,
F08F,
F0A9,
F227,
F2ED,
F3AF,
F485,
F58D,
F72D,
F763,
F769,
F787,
F7A5,
F7E7,
F82D,
F86F,
F877,
F88D,
F8D7,
F8E7,
F8FF,
FCCD,
FED7,
FF85,
FF8F,
FFA9,
100AB,
10BA9,
1A0CB,
1BA09,
200E1,
2C603,
2CC03,
30227,
303AF,
30AAF,
32003,
32207,
32CC3,
330AF,
33169,
33221,
33391,
33881,
33AFF,
38807,
38887,
3AFFF,
3F203,
3F887,
3FAFF,
400BB,
4084D,
40A4B,
42001,
44221,
44401,
444D1,
4480D,
4488D,
44CCB,
44D4D,
44E8D,
4804D,
4840D,
4A0CB,
4A54B,
4CACB,
4D0DD,
4D40D,
4D44D,
5004D,
50075,
502CD,
5044D,
50887,
50EE1,
5448D,
548ED,
55A45,
55F45,
5844D,
5A4A5,
5AE41,
5B0CD,
5B44D,
5BBCD,
5D4ED,
5E0E1,
5EB4D,
5EC8D,
5ECCD,
5EE41,
5F06F,
5F7DD,
5F885,
5F8CD,
5FC8D,
5FF75,
6088F,
60AFF,
630AF,
633AF,
660A9,
668CF,
669AF,
66A09,
66A0F,
66FA9,
6886F,
6A00F,
6A0FF,
6A8AF,
6AFFF,
7002D,
7024D,
70B0D,
70B7D,
7200D,
73363,
73999,
7444D,
770B7,
777D7,
77B07,
77D7D,
77DD7,
79003,
79999,
7B00D,
7D05D,
7D7DD,
8007D,
800D1,
8074D,
82CCD,
82E4D,
8448D,
8484D,
8704D,
8724D,
87887,
88001,
8800D,
880CD,
88507,
88555,
8866F,
8872D,
8877D,
888D1,
888D7,
88AA1,
88C2D,
88D57,
88D75,
88D77,
8AFAF,
8C2CD,
8C40D,
8C8CD,
8CCED,
8CE2D,
8CFED,
8E007,
8E20D,
8E24D,
8F6FF,
8FAAF,
900CB,
901AB,
90901,
909A1,
90AB1,
90AE1,
90EE1,
910AB,
93331,
940AB,
963AF,
966AF,
99019,
99109,
99A01,
9AAE1,
9B00B,
9B0AB,
9B441,
9BABB,
9BBBB,
9E441,
A00BB,
A0405,
A044B,
A08AF,
A0A51,
A0B91,
A0C4B,
A1B09,
A54A5,
A5B41,
A6609,
A904B,
A94A1,
A9C4B,
A9E01,
A9E41,
AA0A1,
AA441,
AA501,
AA8AF,
AAEE1,
AAF45,
AAF8F,
ABBA1,
ACC69,
AE0BB,
AE0EB,
AEAE1,
AEE0B,
AEEA1,
AEECB,
AF045,
AF4A5,
AFA8F,
B00A1,
B00D7,
B044D,
B0777,
B0A0B,
B0A91,
B0BBD,
B0BCD,
B0C09,
B0DA9,
B0EAB,
B2207,
B4001,
B6669,
B7707,
B7D07,
B8081,
B9021,
BA091,
BA109,
BA4BB,
BB001,
BB0EB,
BB8A1,
BBBEB,
BBE0B,
BBEBB,
BC009,
BCECD,
BD0A9,
BE44D,
BEB0D,
BEBBB,
BEEBB,
C0263,
C02C3,
C02ED,
C040D,
C0CA9,
C0CCD,
C2663,
C2CED,
C32C3,
C3323,
C400D,
C40ED,
C44CB,
C44ED,
C480D,
C484D,
C4CAB,
C60AF,
C686F,
C6A0F,
C86FF,
C8C2D,
CAA0F,
CAFAF,
CBCED,
CC0AF,
CC44B,
CC82D,
CC8FF,
CCAF9,
CCAFF,
CCCFD,
CCFAF,
CD00D,
CD4CB,
CD4ED,
CDDDD,
CF2C3,
CFC8F,
CFE8D,
D0045,
D07DD,
D09BB,
D0D4D,
D0DD7,
D0EBB,
D0EEB,
D1009,
D1045,
D10B9,
D1BA9,
D54BB,
D54ED,
D5AE1,
D5D07,
D5EE1,
D70DD,
D7707,
D7777,
D77DD,
D7DD7,
D9441,
D9AE1,
D9B0B,
DA9A1,
DA9E1,
DAA41,
DAAA1,
DBB0B,
DBBA1,
DC4CB,
DD227,
DD44D,
DDDD7,
E0081,
E00E1,
E010B,
E088D,
E08CD,
E0B0D,
E0BBD,
E100B,
E4D0D,
E777B,
E77AB,
E7CCB,
E844D,
E848D,
E884D,
E88A1,
EB0BB,
EBB4D,
EBBEB,
EBEEB,
EC8CD,
ECBCD,
ECC8D,
ED04D,
EE001,
EE0EB,
EE4A1,
EEEBB,
F0085,
F09AF,
F0C23,
F0CAF,
F2663,
F2C03,
F3799,
F3887,
F4A05,
F4AA5,
F506F,
F5845,
F5885,
F5C2D,
F5ECD,
F5F45,
F66A9,
F688F,
F6AFF,
F7399,
F777D,
F8545,
F8555,
F8AAF,
F8F87,
F9AAF,
FA0F9,
FA405,
FA669,
FAFF9,
FC263,
FCA0F,
FCAFF,
FCE8D,
FCF23,
FD777,
FDDDD,
FDEDD,
FEC2D,
FEC8D,
FF545,
FF6AF,
FF739,
FF775,
FF9AF,
FFC23,
100055,
100555,
10A9CB,
1A090B,
1A900B,
1CACCB,
1CCACB,
20DEE1,
266003,
3000AF,
300A0F,
300AFF,
308087,
308E07,
3323E1,
333A0F,
339331,
33CA0F,
33CF23,
33CFAF,
33F323,
380087,
3A00AF,
3A0F0F,
3AA0FF,
3AAF0F,
3C33AF,
3C3A0F,
3C3FAF,
3CCAAF,
3F0FAF,
3F32C3,
3FF0AF,
3FFAAF,
4004CB,
400A05,
4048ED,
404DDD,
40AA05,
40D04D,
40DD4D,
40E0DD,
40E48D,
440041,
44008D,
44044D,
4404DD,
44440D,
4448ED,
4484ED,
448E4D,
44E44D,
48888D,
4AA005,
4DD00D,
4DD04D,
4DDD0D,
4E048D,
4E448D,
4E880D,
5000DD,
500201,
50066F,
5008CD,
500C2D,
500D7D,
50C20D,
520C0D,
544EDD,
54AA05,
54AAA5,
54ED4D,
566AAF,
57D00D,
580087,
5A5545,
5C20CD,
5C8CCD,
5CC2CD,
5D000D,
5D070D,
5F666F,
5FAA45,
5FFF45,
60008F,
600A0F,
603AAF,
6060AF,
6066AF,
60A0AF,
63AA0F,
6663AF,
66668F,
666AAF,
668A8F,
66AFF9,
68888F,
693AAF,
7007B7,
70404D,
70770B,
70770D,
707BE7,
70DD0D,
733339,
733699,
74004D,
74040D,
77007B,
770CCB,
777B4D,
777BE7,
777CCB,
77ACCB,
77B74D,
77D0DD,
7A0CCB,
7B744D,
7CACCB,
7DDD99,
80044D,
800807,
80200D,
8044ED,
80C04D,
80CC2D,
80E44D,
8404ED,
84888D,
84E04D,
84E40D,
86686F,
8668AF,
8686AF,
86F66F,
86FFFF,
87000D,
87744D,
880807,
886AFF,
88824D,
88870D,
888787,
88884D,
88886F,
88887D,
88888D,
888C4D,
888FAF,
88AA8F,
88CC8D,
88F6AF,
88F8AF,
88FA8F,
88FF6F,
88FF87,
88FFAF,
8A8FFF,
8C0C2D,
8C802D,
8CCFFF,
8CE00D,
8CE0CD,
8CFCCF,
8E00CD,
8E044D,
8E0CCD,
8EC0CD,
8F68AF,
8F88F7,
8FCFCF,
8FF887,
8FFCCF,
8FFF6F,
9002E1,
9004AB,
9008A1,
900919,
900ABB,
900B21,
90B801,
90CCCB,
9332E1,
944441,
94ACCB,
990001,
9900A1,
9A4441,
9A4AA1,
9AA4A1,
9AAA41,
9AAAAF,
9B66C9,
9BBA0B,
9BC0C9,
9BC669,
9BC6C9,
9C4ACB,
A0094B,
A00ECB,
A09441,
A0A08F,
A0E0CB,
A0ECCB,
A0F669,
A40A05,
A4AAA5,
A50E41,
A5AA45,
A60069,
A8FAFF,
A9AA41,
AA5E41,
AAA4A5,
AAA545,
AC6669,
ACCC4B,
ACCCC9,
AEAA41,
AFF405,
AFF669,
AFFA45,
AFFFF9,
B00921,
B00BEB,
B00CC9,
B00D91,
B08801,
B0D077,
B70077,
B70E77,
B77E77,
B88877,
B88881,
B94421,
BAE00B,
BB00AB,
BB0DA1,
BB444D,
BB44D1,
BB8881,
BBBBBD,
BBBC4D,
BBCCCD,
BC0CC9,
BC66C9,
BCC669,
BCC6C9,
BCCC09,
BE000D,
BE00BD,
BE0B4D,
BE0CCD,
BEA00B,
BECCCD,
C0084D,
C00A0F,
C0608F,
C0668F,
C0844D,
C0A0FF,
C0AFF9,
C0C3AF,
C0C68F,
C0CAAF,
C0CDED,
C0D0ED,
C0E80D,
C0EC2D,
C0EC8D,
C0FA0F,
C0FAAF,
C2CC63,
C30CAF,
C333AF,
C3CAAF,
C3CCAF,
C4048D,
C40D4D,
C4404D,
C4408D,
C4440D,
C44DDD,
C4ACCB,
C4DCCB,
C4DD4D,
C6068F,
C66AAF,
C68AAF,
C6AA8F,
C8044D,
C8440D,
C8666F,
CA00FF,
CA0FFF,
CAAAAF,
CAAFFF,
CAFF0F,
CBE0CD,
CC008F,
CC0C8F,
CC3CAF,
CC4ACB,
CC608F,
CC66AF,
CCBECD,
CCC4AB,
CCCA0F,
CCCC8F,
CCCE8D,
CE0C8D,
CF0F23,
CF0FAF,
CFAFFF,
CFCAAF,
CFFAFF,
D0005D,
D00BA9,
D05EDD,
D077D7,
D10CCB,
D22207,
D4000B,
D4040D,
D4044D,
D40CCB,
D70077,
D7D00D,
D90009,
D900BB,
DB00BB,
DB4441,
DD400D,
DDD109,
DDD1A9,
DDD919,
DDD941,
DED00D,
E00D4D,
E00EEB,
E0AAE1,
E0AE41,
E0AEA1,
E0B44D,
E0BCCD,
E0BEBB,
E0D0DD,
E0E441,
E4048D,
E4448D,
E800CD,
E8200D,
EA0E41,
EAA0E1,
EBB00B,
ECCCAB,
EDDDDD,
EEBE0B,
F00263,
F0056F,
F00A45,
F02C63,
F03F23,
F05405,
F060AF,
F08585,
F0A4A5,
F0F2C3,
F0F323,
F2CCC3,
F33203,
F33C23,
F5F66F,
F5FF6F,
F68CCF,
F6AA8F,
F888AF,
FA0F45,
FAA045,
FAA545,
FAFC69,
FC0AAF,
FC66AF,
FCCCAF,
FCFFAF,
FF0323,
FF056F,
FF3203,
FF7903,
FFA045,
FFA4A5,
FFAA45,
FFC0AF,
FFF4A5,
FFF575,
FFFA45,
FFFCAF,
10A009B,
20000D1,
2CCC663,
30A00FF,
30CCCAF,
30FA00F,
30FCCAF,
3333C23,
333C2C3,
33C3AAF,
33FCAAF,
33FFFAF,
3A0A00F,
3AAAA0F,
3AF000F,
3AFAAAF,
3C0CA0F,
3CCC3AF,
3CFF323,
3F33F23,
3FAA00F,
3FF3323,
4004441,
400DDD1,
400E00D,
400ED0D,
404404D,
404448D,
404E4DD,
440EDDD,
4440EDD,
44444ED,
4444E4D,
44DDDDD,
4A000A5,
4CCCCAB,
4D0CCCB,
4E4404D,
4E4444D,
4E4DDDD,
5000021,
5004221,
5006AAF,
500FF6F,
5042201,
508CCCD,
5400005,
5400AA5,
5555405,
5808007,
5AA4005,
5C0008D,
5CCC8CD,
5D4444D,
5EEEEEB,
5F40005,
5F554A5,
5F6AAAF,
60000AF,
60006A9,
600866F,
6008AAF,
600AA8F,
600F6A9,
606608F,
606686F,
608666F,
60AA08F,
60AAA8F,
66000AF,
66666A9,
6666AF9,
6866A8F,
6AAAAAF,
70070D7,
70077DD,
700DDDD,
707077D,
707D007,
70D00DD,
770077D,
770400D,
770740D,
7777775,
77777B7,
77777DD,
7777ACB,
77B88E7,
77DD00D,
77DDDDD,
7D0D00D,
7DD0D07,
7DDD00D,
800002D,
8000CED,
80C0E0D,
80CECCD,
840400D,
844000D,
844E00D,
868688F,
880444D,
884404D,
887D007,
8888801,
8888881,
8888E07,
8888F77,
8888FE7,
88A8AFF,
88AAAFF,
88FAFFF,
8A8AAAF,
8A8AAFF,
8AAA8FF,
8C00ECD,
8C8444D,
8E4400D,
8FCCCCF,
900BBAB,
90CC4AB,
9908AA1,
99E0E01,
9B00801,
9B6CCC9,
A000FF9,
A006069,
A00A8FF,
A01CCCB,
A05F545,
A0BEEEB,
A0E4AA1,
AA0008F,
AA08FFF,
AA40AA5,
AA8FFFF,
AAAA405,
AE04AA1,
AE44441,
AE4AAA1,
AECCCCB,
AF40005,
AFA5A45,
AFFFC69,
B000BAB,
B000EBB,
B0D0007,
B222227,
B6CCCC9,
B8880A1,
BA000EB,
BA0BEEB,
BAEEEEB,
BB000CD,
BB00C0D,
BB0B00D,
BC6CC69,
BC6CCC9,
BCCCC69,
BCCCCED,
C0000A9,
C00068F,
C000CFD,
C000E2D,
C000FAF,
C004D4D,
C00E20D,
C00E8CD,
C00F68F,
C033A0F,
C0802CD,
C086AAF,
C0A00AF,
C0AFFFF,
C0C086F,
C0C0F8F,
C0CA00F,
C0CC08F,
C0D044D,
C0F0AFF,
C0FF023,
C0FFFAF,
C33FA0F,
C33FAAF,
C3CA00F,
C3FFCAF,
C8002CD,
C8200CD,
CCC668F,
CCCAA8F,
CCCC0A9,
CCCC3AF,
CCCCCA9,
CCCDC4B,
CE0008D,
CE2000D,
CE8CCCD,
CF000AF,
CFF0AAF,
CFFF0AF,
D0000EB,
D0005EB,
D000775,
D000EDD,
D007077,
D00DDD9,
D00ED0D,
D0AAA45,
D0AAAA5,
D0EDDDD,
D19000B,
D4404ED,
D4440ED,
D5BBBBB,
DCCCC4B,
DD00DD9,
DD07077,
DD0DD09,
DD0DDD9,
DD99999,
DDD0D09,
DDDD0D9,
DDDD9E1,
DDDDD09,
DDDDD99,
DE0DDDD,
DEEEEEB,
E00001B,
E0004A1,
E000CAB,
E00A041,
E00BB0B,
E00BBBB,
E00C80D,
E00CCCB,
E044DDD,
E0AA4A1,
E0AAA41,
E0BBB0B,
E0D444D,
E40444D,
E4DDD4D,
E88CCCD,
E8C000D,
E8CCCCD,
EA04441,
EA0A4A1,
EBB000D,
EBCCCCD,
ED0D00D,
EEAAA01,
EEBBBBB,
EEE000B,
F0002C3,
F002CC3,
F003323,
F005545,
F00F4A5,
F033323,
F0400A5,
F0A5545,
F333323,
F333F23,
F6660AF,
F733333,
FA00009,
FA004A5,
FAAAA45,
FC6668F,
FCC668F,
FD00AA5,
FEE7777,
FF0F263,
FF26003,
FF3F323,
FF5F887,
FFAFF45,
FFFF263,
FFFF379,
2CCCCC63,
30CCA00F,
33333319,
3333FCAF,
3333FFAF,
33FFA00F,
3C00CCAF,
3C00FCAF,
3CF3FF23,
40000441,
40000CAB,
4000DAA1,
400440DD,
400ACCCB,
400CCCAB,
400E44DD,
4040D00D,
404400DD,
40444EDD,
4044D00D,
40ACCCCB,
40DDDDDD,
440000D1,
44000DDD,
4400DD0D,
44E400DD,
4A00004B,
4A0AAAA5,
5000C08D,
52000CCD,
555400A5,
55540A05,
58800007,
58888087,
5A540005,
5C00020D,
5F5400A5,
5F888887,
60006AAF,
600093AF,
600AAAAF,
608CCCCF,
6600686F,
6606866F,
6688AAAF,
7000077D,
70000D5D,
7000707B,
7000707D,
7000740D,
70500D0D,
7070040D,
707007DD,
7070777B,
7077744D,
7077777B,
77007D0D,
7700B44D,
7707000B,
7707D00D,
7770700D,
7770777B,
7777740D,
7777770B,
7777777D,
77777CAB,
7777B887,
778888E7,
788888E7,
79333333,
7ACCCCCB,
7D0000DD,
7D00D0DD,
7DD00D0D,
7DDDDDA9,
80000081,
80000087,
8000E0CD,
80400E4D,
80A0AAA1,
80EC000D,
84000E4D,
8404444D,
84400E4D,
868AAAAF,
86AAAA8F,
8884044D,
88FFFE77,
8C44444D,
8CCCCAAF,
8E40004D,
900000BB,
90000B0B,
90100009,
90800AA1,
93333AAF,
94AAAAA1,
980000A1,
998AAAA1,
A00000F9,
A0000EEB,
A0005A45,
A0055545,
A00AAA45,
A0666669,
A0AAA045,
A0AAAA45,
A0AAE4A1,
A0B44441,
A4A00005,
A6066669,
A8AAFFFF,
AA055545,
AA0AA045,
AAA00A45,
AAAAA045,
B00000AB,
B000EEEB,
B00EEE0B,
B0900081,
B0BBBBAB,
B7777787,
B9000081,
B9008001,
B9800001,
BA00000B,
BBBB0ABB,
BCCCCCC9,
C000004D,
C000086F,
C0000AFF,
C0000E8D,
C0000FDD,
C00033AF,
C0003CAF,
C000448D,
C000AFFF,
C000CF8F,
C004444D,
C00663AF,
C00F00AF,
C00FCCAF,
C0FFCCAF,
C844444D,
CC3A000F,
CCCCCBED,
CCCCCE2D,
CCCCD999,
CCDCCC4B,
CD44444D,
CFAF000F,
CFFFF023,
D00400ED,
D004404D,
D00777A5,
D00E00DD,
D0444E0D,
D40000ED,
D444E00D,
D7DDDDDD,
DD00D007,
DD0D0077,
DD0D0707,
DDD0040D,
DDDDDD19,
DDDDDDD1,
E0000CCB,
E0044441,
E00A4AA1,
E888820D,
E8888CCD,
E888C80D,
E8AAAAA1,
EB00C0CD,
EBBC00CD,
ECCCCCCB,
F00006AF,
F00040A5,
F00066AF,
F06666AF,
F0F004A5,
F33FFF23,
F60006AF,
F6AAA0AF,
F88888F7,
FE777777,
FF33F2C3,
FF3FFF23,
FF588887,
FFFF02C3,
FFFF5F6F,
FFFFF887,
FFFFFF79,
10CCCCCAB,
266666603,
333333AAF,
333333F23,
3333FF2C3,
333CCCCAF,
333FFCCAF,
3A000000F,
3FA00000F,
40000048D,
4000004DD,
4000040D1,
40000ACCB,
4000400D1,
4040000DD,
404D0000D,
40A000005,
40E00444D,
40ED0000D,
444E000DD,
444ED000D,
48444444D,
4A0000005,
4AAAAAAA5,
500000C8D,
500000F8D,
50CCCCC8D,
50FFFFF6F,
5AAAAAA45,
5C020000D,
5E444444D,
666666AFF,
70000044D,
70000440D,
700007CCB,
700007D07,
70044000D,
70070007D,
77070007D,
77700040D,
77700070D,
77707044D,
77770000D,
77777777B,
777888887,
7D0DDDDDD,
7DD0000D7,
8008880A1,
800888A01,
800C000ED,
888800087,
88888AF8F,
888CCCCCD,
88CCCCCCD,
8AAAAAFFF,
8AAFFFFFF,
8CECCCCCD,
8CFFFFCFF,
8EC00000D,
900010009,
908A0AAA1,
9800AAAA1,
9B0CCCCC9,
A00000669,
A00005545,
A0000A545,
A000FFF45,
A0AAAAA8F,
A4000004B,
A55540005,
A5F554005,
AA0A0AA45,
AA0AAA8FF,
AA4000005,
AAA0AA8FF,
AAAA0A8FF,
AAAA0AA8F,
B00000881,
B00009801,
B00090081,
B00BBBABB,
B0EB0000B,
B4444444D,
B77777777,
B7E777777,
BB00000BD,
BB0C0000D,
BBBBBA00B,
BBBBBBABB,
BE0EEEE0B,
BE7777777,
C00000CAF,
C00006AAF,
C000082CD,
C00063AFF,
C000820CD,
C00F00023,
C0444444D,
C66666AFF,
CCCD99999,
CF0000023,
CF66666AF,
D00000009,
D0000044D,
D0044000D,
D040E000D,
D0440000D,
D0DD000D9,
DAAAAAA45,
E004044DD,
E004444DD,
E044400DD,
E0C00008D,
E0C08000D,
E0EAAAAA1,
E2000000D,
E400044DD,
EAAA4AAA1,
EAAAAEAA1,
EAAAEA041,
EBBBBC00D,
EEEE00CCB,
F00000545,
F02600003,
F066AAAAF,
F0FF5666F,
F3FFF3F23,
F60AAAA0F,
F77777777,
FFEEEEEE7,
FFFF33323,
FFFF5666F,
FFFFF2CC3,
FFFFF7777,
FFFFFEEE7,
FFFFFFF77,
2222200007,
2222222207,
2666666663,
3000000887,
33333CCCAF,
333FFFF2C3,
333FFFFF23,
3AAAAAAAAF,
3FFFF3FF23,
400000000D,
4000000DD1,
4000044E4D,
4000044EDD,
40004000DD,
40004444DD,
440D00000D,
500000006F,
5000000F6F,
5020000001,
5888880007,
5FFFF88887,
700000077B,
70000050DD,
700000D0DD,
700070B44D,
7070000D07,
707400000D,
770000070D,
77000007DD,
770000D007,
770D000007,
777700044D,
777770044D,
77CCCCCCAB,
8000000AA1,
80000EC00D,
800AAAAA01,
8880888887,
8886888AAF,
88888888AF,
8888888A8F,
888AAFFFFF,
9000000019,
9000000109,
900B000081,
908AAAAA01,
90B0000021,
90B0000081,
91A000000B,
A00000A045,
A0000A0045,
A000A00545,
A00A004AA5,
A0A000AA45,
AA0000AA45,
AAA0A00045,
AAAAAAAAA1,
AAAAAAAE41,
B00E000B0B,
B0E0000B0B,
B0E00B000B,
BE0000B00B,
C000CC866F,
C00CCCCCAF,
C6666666AF,
CCCCCCCAAF,
CFFFFFFAAF,
D00000B0BB,
D00044444D,
D1000000CB,
D1CCCCCCCB,
DA44444441,
DD00000D77,
DDD4444441,
DDDD444441,
E00000484D,
E0004000DD,
E0C800000D,
E0DD00000D,
E444444441,
E4444444DD,
EAAAAAA4A1,
EB000000BD,
ED00000D0D,
EEE0CCCCCB,
EEEEEECCCB,
F0555554A5,
F0A0000045,
F0AFFFFF45,
F0FFFFF56F,
F260000003,
FEEEEEEEE7,
FFFF793333,
FFFFFFF56F,
FFFFFFF733,
22000000007,
4000000004B,
400000000A5,
4000000E88D,
40000AAAAA5,
4E4400000DD,
5066666666F,
52C0000000D,
52C000000CD,
52CCCCCCCCD,
7700700000D,
770070000DD,
7DDDDDDDD0D,
8040000004D,
80AAAAAAA01,
80ECCCCCCCD,
87000000007,
88888800887,
88888888E77,
88888888FF7,
8888F888887,
88F88888887,
9B000000021,
9B800000001,
A0000000A45,
A00EEEEEEEB,
A0444444441,
A0A00000045,
A0AAAAAEA41,
A0EEEEEEEEB,
AFA55555545,
B0000022227,
B7788888887,
BE0EEEEEEEB,
BEEEEEEEEEB,
C0006666AFF,
C000CCCC6AF,
C00FFFFFF23,
C0AF000000F,
CCCCCCCCDED,
CE08000000D,
D0000040E0D,
D000040E00D,
D0000B0BBBB,
DD00000004D,
E000000400D,
E000000DD0D,
E00000DD00D,
E00004440DD,
E044444444D,
E0EEECCCCCB,
EAAAEAAAAA1,
EB00000CCCD,
EC80000000D,
ED44400000D,
F3FFFFFF323,
F3FFFFFFF23,
F566666666F,
FA055555545,
FAAAAAAAA8F,
FEEEEEEE777,
FF56666666F,
1A000000009B,
1B00000000A9,
333333332C03,
333333333CAF,
33FFFFFFF2C3,
3C3FFFFFFF23,
400000E0444D,
44444444448D,
4DCCCCCCCCCB,
588888888887,
5BC00000000D,
5CCCCCCCCC2D,
77000070000D,
77700000000B,
7B8888888887,
800AAAAAAAA1,
880088888887,
888888AFFFFF,
88AFFFFFFFFF,
8CCCCCCCCFCF,
8E444444444D,
A00000000F45,
A0000000AA8F,
A40000000005,
A44044444441,
AA0000004AA5,
AAAAAAA00A8F,
BE0B0000000B,
C00000000C8F,
C00000000D0D,
CA0F0000000F,
CCCCCCCCC6AF,
CCCCCCCCCD99,
D00000002227,
D02222222227,
D0B0BBBBBBBB,
D10000000005,
DDDDDDDDD40D,
E0000DD0000D,
E0A04AAAAAA1,
EC000000800D,
F00000003203,
1A0000000000B,
33333333332C3,
5BBBBBBBBBBBB,
5F55555555545,
66666666006AF,
707000000007D,
7A0000000000B,
7CCCCCCCCCACB,
8088000000007,
80C00000000ED,
8888888800007,
88888888888E7,
88888888888FF,
88888888FFFFF,
888888F88888F,
88F888888888F,
8C00000000E0D,
A000000000A8F,
A055555555545,
A0FFFFFFFFF45,
AF55555555545,
B000000000221,
C000000000023,
C0000000063AF,
CCECCCCCCCC2D,
D00400000004D,
DD00000000D07,
E0EEEEEEEECCB,
EB0C0000000CD,
FA55555555545,
FFFFFFF33FF23,
FFFFFFFF33F23,
4000000044444D,
777777777788E7,
77CCCCCCCCCCCB,
800000ECCCCCCD,
86666666666F6F,
91ACCCCCCCCCCB,
A1CCCCCCCCCCCB,
AA000000000045,
AAAA0000000045,
BBBBBBBBB0BBAB,
BBBBBBBBBB0BAB,
BBBC000000000D,
C00000000000AF,
C00000006666AF,
C0A0000000000F,
C444444444444D,
CCCCCCCCCCC2ED,
CCD99999999999,
CFF0A00000000F,
D000000000007B,
DE0000000000DD,
F00000000004A5,
F5555555555545,
3000000000008E7,
500000000000885,
68666666666666F,
68CCCCCCCCCCCCF,
70007CCCCCCCCCB,
77070000000000D,
77700000000007D,
8000000000000A1,
80000000000EC0D,
808000000000007,
88444444444444D,
888888888870007,
888888AAAAAAAAF,
900000000000B81,
9B0000000000009,
9B0000000000081,
AAAAAAAAAAAAA45,
CFFFFFFFFFA000F,
D00000000000AA5,
D00000000200007,
D99999999999009,
DDDDDDDDDDDDDD9,
E000000000C008D,
E0BBBBBBBBBBBBB,
EEEEEEEEEEEECCB,
FFFFFFFFFF332C3,
3FFFFFFFFFFF3F23,
4ACCCCCCCCCCCCCB,
58CCCCCCCCCCCCCD,
800000000000ECCD,
866666666666666F,
8ECCCCCCCCCCCCCD,
A000000000000009,
B0E00000000000BB,
DDDDDDDDDDDDDD4D,
E0000000000444DD,
F000000000000323,
33333333333333FAF,
3FFFFFFFFFFFA000F,
80000888888888887,
80888888888888087,
80888888888888807,
88888888888888087,
8CFFFFFFFFFFFFFCF,
90000000000B00081,
933333333333333AF,
A5555555555555545,
D00000000BBBBBBBB,
D0200000000000007,
33CCCCCCCCCCCCCCAF,
40000044444444444D,
5C200000000000000D,
7000000000000005DD,
88FFFFFFFFFFFFFFF7,
B00000000000000981,
CFFFFFFFFFFFFFA00F,
D99999999999999909,
700000000000005D00D,
7777777777777788887,
8888800000000000007,
8888888888888888807,
AAAAAAAAAAAAAA008FF,
BBBBBBBBBBBBBBBBBAB,
C0FFFFFFFFFFFFFFF23,
CCCCCCCCCCCCCCCCCD9,
3FFFFFFFFFFFFFFFF323,
4D000000000000000CCB,
5C00000000000000002D,
A0000000000000000045,
CD999999999999999999,
CFFA000000000000000F,
10ACCCCCCCCCCCCCCCCCB,
40000444444444444444D,
7000000000000000007D7,
777777777777777777787,
C00000000000000000DED,
E00000000000000000441,
E0000000000000044444D,
ED444444444444444444D,
EEEEEEEEEEEEEEEEEEE0B,
77D0000000000000000007,
CFFFFFFFFA00000000000F,
DB0BBBBBBBBBBBBBBBBBBB,
40000000000000000000085,
55555555555555555554AA5,
80000000000000000000ECD,
8044444444444444444444D,
8AAAAAAAAAAAAAAAAAAAAFF,
BBC0000000000000000000D,
D00000000000000000040ED,
D054444444444444444444D,
8D0000000000000000000007,
D00000000000000000002007,
DD0D00000000000000000007,
3333333333333333333333331,
4444444444444444444444DDD,
66666666666666666666666AF,
E00000000000000000000040D,
EB0000000000000000000000D,
4044444444444444444444444D,
7DDDDDDDDDDDDDDDDDDDDDDDDD,
B0000000000000000000000227,
1A9CCCCCCCCCCCCCCCCCCCCCCCB,
D000000BBBBBBBBBBBBBBBBBBBB,
D0044444444444444444444444D,
E0000000000000000000000C08D,
32222222222222222222222222227,
D2222222222222222222222222227,
ED0000000000000000000000000DD,
84444444444444444444444444444D,
EDD00000000000000000000000000D,
FDAAAAAAAAAAAAAAAAAAAAAAAAAAAA5,
7DD0000000000000000000000000000D,
8CCCCCCCCCCCCCCCCCCCCCCCCCCCCCFF,
A094000000000000000000000000000B,
A8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAF,
AAAAAAAAAAAAAAAAAAAAAAAAAAAAA8FF,
222222222222222222222222222222227,
800088888888888888888888888888887,
CFA00000000000000000000000000000F,
D000000000000000000000000000BBBBB,
EC000000000000000000000000000008D,
8AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA8F,
CFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFAF,
40444444444444444444444444444444441,
EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEB,
910000000000000000000000000000000009,
2C00000000000000000000000000000000003,
C0000000000000000000000000000000000DD,
1ACCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCB,
26000000000000000000000000000000000003,
7700000000000000000000000000000000007D,
D00000000000000000000000000000000000A5,
4DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD,
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA8F,
D444444444444444444444444444444444444441,
CAF0000000000000000000000000000000000000F,
FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF323,
800000000000000000000000000000000000000C4D,
D94CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCB,
88088888888888888888888888888888888888888887,
3FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFA00F,
D00000000000000000000000000000000000000000207,
88AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAF,
C0CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCAF,
D00000BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB,
B0000000000000000000000000000000000000000000000C9,
BEB000000000000000000000000000000000000000000000B,
FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF2C3,
AF666666666666666666666666666666666666666666666669,
CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCD4B,
7070000000000000000000000000000000000000000000000D7,
888888888888888888888888888888888888888888888888888887,
CA000000000000000000000000000000000000000000000000000F,
77000000000000000000000000000000000000000000000000000D07,
E44444444444444444444444444444444444444444444444444444444D,
CAFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF,
D4CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCB,
A8AFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF,
DD00000000000000000000000000000000000000000000000000000000000000D7,
500000000000000000000000000000000000000000000000000000000000000008D,
F8CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCF,
A015555555555555555555555555555555555555555555555555555555555555555555555,
52000000000000000000000000000000000000000000000000000000000000000000000001,
C2CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC3,
5666666666666666666666666666666666666666666666666666666666666666666666666666666666666666F,
E0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000041,
A9400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000B,
D000BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB,
8CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC2D,
77000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000D7,
CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCAF,
5FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF66F,
C00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000CD,
EBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB,
3FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF23,
94A00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000B,
8888FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF,
BE0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000B0B,
ECCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC2D,
4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000ACB,
54444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444D,
880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007,
D44444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444D,
E0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000004DD,
8C00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000ED,
DAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA5,
CE800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000D,
5FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF6F,
88FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF,
BE000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000BB,
D99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999,
FAFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF45,
F88888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888F,
2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000321,
300FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFAF,
90000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000091,
5BCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCD,
D0(B^^17804),
D(B^^32234),
(4^^72785)DD,
(3^^116137)AF}

I have solved bases b = 2 up to 16 i.e. I have found all such primes
(elements in the minimal set of the primes > b in base b) and proved
that these are all such primes.

For 8 families only strong probable primes are known:

bfamily
(base b form)
family
(algebraic form)
strong probable
prime (base b form)
strong probable
prime (algebraic form)
115(7^^n)(57*11^n-7)/105(7^^62668)(57*11^62668-7)/10
138(0^^n)1118*13^(n+3)+1838(0^^32017)1118*13^32020+183
139(5^^n)(113*13^n-5)/129(5^^197420)(113*13^197420-5)/12
13A(3^^n)A(41*13^(n+1)+27)/4A(3^^592197)A(41*13^592198+27)/4
13C(5^^n)C(149*13^(n+1)+79)/12C(5^^23755)C(149*13^23756+79)/12
16(3^^n)AF(16^(n+2)+619)/5(3^^116137)AF(16^116139+619)/5
16(4^^n)DD(4*16^(n+2)+2291)/15(4^^72785)DD(4*16^72787+2291)/15
16D(B^^n)(206*16^n-11)/15D(B^^32234)(206*16^32234-11)/15

It can be noted that the now solved family A(3^^n)A in base 13
is "Plateau and Depression" family
( see http://www.worldofnumbers.com/deplat.htm (only base 10) ).
Also
two large primes in the base 13 set (when written in base 13)
are also Plateau and Depression Primes (PDP's):
7(5^^375)7 (proven prime) and C(5^^23755)C (probable prime).
These two primes are the first primes in families
7(5^^n)7 and C(5^^n)C in base 13, these two families
(as well as the now solved family A(3^^n)A in base 13) are
"Plateau and Depression" families that have no small primes,
like the status of the family 7(1^^n)7 in base 10, its first
prime is 7(1^^10905)7, see deplat.htm#pdp717.

 “ To find the sets of various bases, we have to determine whether family x(d^^n)y in base b (where x and y are base b strings (may be empty), and d is a base b digit) contains a prime (only count the numbers > base) or not.” a quote from Xinyao Chen. ``` Why some families only contain composites Example 1: base 10, family 4(6^^n)9 (n⩾0) All numbers are divisible by 7 Example 2: base 9, family 5(1^^n) (n⩾1, since we only consider the numbers > base) (the same as WONplate 219, base 9 appending 1's with k = 5) n == 1 mod 2: factor of 2 n == 0 mod 2: factor of 5 Example 3: base 11, family 2(5^^n) (n⩾1, since we only consider the numbers > base) n == 0 mod 2: factor of 2 n == 1 mod 2: factor of 3 Example 4: base 8, family 6(4^^n)7 (n⩾0) n == 1 mod 2: factor of 3 n == 0 mod 4: factor of 5 n == 2 mod 4: factor of 13 Example 5: base 13, family 3(0^^n)95 (n⩾0) n == 1 mod 2: factor of 7 n == 2 mod 4: factor of 5 n == 0 mod 4: factor of 17 Example 6: base 16, family (4^^n)D (n⩾1, since we only consider the numbers > base) n == 0 mod 3: factor of 13 n == 1 mod 3: factor of 7 n == 2 mod 3: factor of 3 Example 7: base 9, family (1^^n) (n⩾2, since we only consider the numbers > base) (the same as WONplate 219, base 9 appending 1's with k = 1) The formula is (9^n-1)/8, which can be factored as (3^n-1) * (3^n+1) / 8, and since if n⩾3, 3^n-1 ⩾ 3^3-1 = 26 > 8, 3^n+1 ⩾ 3^3+1 = 28 > 8, this factorization is nontrivial if n⩾3, and this only remains to check the case n=2, but for n=2, (9^n-1)/8 = 10 and 10 is not prime, thus no number of this form is prime. Example 8: base 9, family 3(8^^n) (n⩾1, since we only consider the numbers > base) (the same as WONplate 219, base 9 appending 8's with k = 3) The formula is 4*9^n-1, which can be factored as (2*3^n-1) * (2*3^n+1), and since if n⩾1, 2*3^n-1 ⩾ 2*3^1-1 = 5 > 1, 2*3^n+1 ⩾ 2*3^1+1 = 7 > 1, this factorization is nontrivial, thus no number of this form is prime. Example 9: base 8, family 1(0^^n)1 (n⩾0) The formula is 8^(n+1)+1, which can be factored as (2^(n+1)+1) * (4^(n+1)-2^(n+1)+1), and since if n⩾0, 2^(n+1)+1 ⩾ 2^1+1 = 3 > 1, 4^(n+1)-2^(n+1)+1 ⩾ 4^1-2^1+1 = 3 > 1, this factorization is nontrivial, thus no number of this form is prime. Example 10: base 16, family (4^^n)1 (n⩾1, since we only consider the numbers > base) The formula is (4*16^(n+1)-49)/15, which can be factored as (2*4^(n+1)-7) * (2*4^(n+1)+7) / 15, and since if n⩾1, 2*4^(n+1)-7 ⩾ 2*4^2-7 = 25 > 15, 2*4^(n+1)+7 ⩾ 2*4^2+7 = 39 > 15, this factorization is nontrivial, thus no number of this form is prime. Example 11: base 12, family (B^^n)9B (n⩾0) The formula is 12^(n+2)-25 n == 1 mod 2: factor of 13 n == 0 mod 2: let n = 2*m, 12^(n+2)-25 = 12^(2*m+2)-25 = (12^(m+1)-5) * (12^(m+1)+5), and since if n⩾0, then m is also ⩾ 0, and 12^(m+1)-5 ⩾ 12^1-5 = 7 > 1, 12^(m+1)+5 ⩾ 12^1+5 = 17 > 1, this factorization is nontrivial, thus no number of this form is prime. Example 12: base 14, family 8(D^^n) (n⩾1, since we only consider the numbers > base) The formula is 9*14^n-1 n == 1 mod 2: factor of 5 n == 0 mod 2: let n = 2*m, 9*14^n-1 = 9*14^(2*m)-1 = (3*14^m-1) * (3*14^m+1), and since if n⩾1, then m is also ⩾ 1, and 3*14^m-1 ⩾ 3*14^1-1 = 41 > 1, 3*14^m+1 ⩾ 3*14^1+1 = 43 > 1, this factorization is nontrivial, thus no number of this form is prime. ``` “ Some families x(d^^n)y could not be ruled out as containing no primes > b, but no primes > b could be found in the family, even after searching through numbers with over 50000 digits. Many families x(d^^n)y contain no small primes (only count the numbers > base) even though they do contain very large primes.” by Xinyao Chen. ``` Examples for families that cannot be ruled out as only contain composites but contain no small primes (only count the numbers > base) Example 1: base 10, family 5(0^^n)27 (n⩾0) The smallest prime is 5(0^^28)27 Example 2: base 5, family 1(0^^n)13 (n⩾0) The smallest prime is 1(0^^93)13 Example 3: base 8, family (4^^n)7 (n⩾1, since we only consider the numbers > base) The smallest prime is (4^^220)7 Example 4: base 9, family 3(0^^n)11 (n⩾0) The smallest prime is 3(0^^1158)11 Example 5: base 14, family 4(D^^n) (n⩾1, since we only consider the numbers > base) The smallest prime is 4(D^^19698) (this prime can be easily proven prime using N+1 primality test, since N+1 is trivially factored) Example 6: base 13, family 8(0^^n)111 (n⩾0) The smallest (probable) prime is 8(0^^32017)111 (this PRP has 35670 decimal digits, and because of its size and neither N-1 nor N+1 is trivially factored, this number is not easily proven prime) Example 7: base 16, family D(B^^n) (n⩾1, since we only consider the numbers > base) The smallest (probable) prime is D(B^^32234) (this PRP has 38815 decimal digits, and because of its size and neither N-1 nor N+1 is trivially factored, this number is not easily proven prime) Example 8: base 11, family 5(7^^n) (n⩾1, since we only consider the numbers > base) The smallest (probable) prime is 5(7^^62668) (this PRP has 65263 decimal digits, and because of its size and neither N-1 nor N+1 is trivially factored, this number is not easily proven prime) Example 9: base 16, family (4^^n)DD (n⩾0) The smallest (probable) prime is (4^^72785)DD (this PRP has 87644 decimal digits, and because of its size and neither N-1 nor N+1 is trivially factored, this number is not easily proven prime) Example 10: base 16, family (3^^n)AF (n⩾0) The smallest (probable) prime is (3^^116137)AF (this PRP has 139845 decimal digits, and because of its size and neither N-1 nor N+1 is trivially factored, this number is not easily proven prime) Condensed table: ( '^^' is symbol for concatenation ) base bnumber ofelementsin theset ofbase bthe largestelement inthe set ofbase b in'base b' formthe largestelement inthe set ofbase b in'algebraic' formlength ofthe largestelementin the setof base b 211132 33111133 45221413 5221(0^^93)135^95+896 6114004152095 771(3^^16)1(7^17-5)/217 875(4^^220)7(4*8^221+17)/7221 91513(0^^1158)113*9^1160+101161 10775(0^^28)275*10^30+2731 1110685(7^^62668)(57*11^62668-7)/1062669 121064(0^^39)774*12^41+9142 133197A(3^^592197)A(41*13^592198+27)/4592199 146504(D^^19698)5*14^19698-119699 151284(7^^155)97(15^157+59)/2157 162347(3^^116137)AF(16^116139+619)/5116139 Note: The data for base 11 assumes that the PRP 5(7^^62668) is actual prime. The data for base 13 assumes that the PRP's C(5^^23755)C, 8(0^^32017)111, 9(5^^197420) and A(3^^592197)A are actual primes. The data for base 16 assumes that the PRP's D(B^^32234), (4^^72785)DD and (3^^116137)AF are actual primes. Primality certificates for primes > 10^299 in these sets: Base 9: 7(6^^329)2: http://factordb.com/cert.php?id=1100000002359003642 2(7^^686)07: http://factordb.com/cert.php?id=1100000002495467486 3(0^^1158)11: http://factordb.com/cert.php?id=1100000002376318423 (These enabled us to complete the classification of the minimal elements of primes > b in base b, for all 2 ⩽ b ⩽ 10) Base 11: (A^^713)58: http://factordb.com/cert.php?id=1100000003576826487 (7^^759)44: http://factordb.com/cert.php?id=1100000002505568840 55(7^^1011): http://factordb.com/cert.php?id=1100000002361376522 ( 5(7^^62668) is only PRP, it is strong PRP to bases 2, 3, 5, 7, 11, 13, 17, 19, 23 and trial factored to 10^11, verified by PFGW ) Base 13: 5(0^^270)44: http://factordb.com/cert.php?id=1100000002632397005 (9^^271)095: http://factordb.com/cert.php?id=1100000003590431654 1(0^^286)7771: http://factordb.com/cert.php?id=1100000003590431633 (9^^308)1: (proven prime by N-1 primality test, factorization of N-1 (equivalent to factor the number 13^308-1) (B^^341)C4: http://factordb.com/cert.php?id=1100000003590431618 8(B^^343): http://factordb.com/cert.php?id=1100000002321018736 71(0^^371)111: http://factordb.com/cert.php?id=1100000003590431609 7(5^^375)7: http://factordb.com/cert.php?id=1100000003590431596 9B(0^^391)9: http://factordb.com/cert.php?id=1100000002632396790 7B0(B^^397): http://factordb.com/cert.php?id=1100000003590431574 1(0^^414)93: http://factordb.com/cert.php?id=1100000002523249240 8101(0^^415)1: (can be easily proven prime with the N-1 primality test, since its N-1 is trivially 100% factored) 811(0^^435)1: (can be easily proven prime with the N-1 primality test, since its N-1 is trivially 100% factored) B(7^^486): http://factordb.com/cert.php?id=1100000002321015892 (B^^563)C: (proven prime by N-1 primality test, factorization of N-1 (equivalent to factor the number 13^564-1) 1(B^^576): (proven prime by N-1 primality test, factorization of N-1 (equivalent to factor the number 13^576-1) 8(0^^693)87: (proven prime by N-1 primality test, factorization of N-1 and primality certificate of large prime factor of N-1) CC(5^^713): http://factordb.com/cert.php?id=1100000002615627353 (B^^834)74: http://factordb.com/cert.php?id=1100000003590430871 (9^^968)B: http://factordb.com/cert.php?id=1100000000258566244 1(0^^1295)181: http://factordb.com/cert.php?id=1100000002615445013 (9^^1362)5: http://factordb.com/cert.php?id=1100000002321017776 (7^^1504)1: http://factordb.com/cert.php?id=1100000002320890755 93(0^^1551)1: (can be easily proven prime with the N-1 primality test, since its N-1 is trivially 100% factored) 72(0^^2297)2: http://factordb.com/cert.php?id=1100000002632396910 177(0^^2703)17: http://factordb.com/cert.php?id=1100000003590430825 39(0^^6266)1: (can be easily proven prime with the N-1 primality test, since its N-1 is trivially 100% factored) B(0^^6540)BBA: http://factordb.com/cert.php?id=1100000002616382906 (C^^10631)92: http://factordb.com/cert.php?id=1100000003590493750 ( C(5^^23755)C, 8(0^^32017)111, 9(5^^197420) and A(3^^592197)A are only PRPs, they are strong PRP to bases 2, 3, 5, 7, 11, 13, 17, 19, 23 and trial factored to 10^11, verified by PFGW ) Base 14: The base 14 primes 4(D^^19698) and 34(D^^708) can be easily proven prime with the N+1 primality test, since their N+1 are trivially 100% factored. Base 16: 88(0^^246)7: (proven prime by N+1 primality test, factorization of N+1 (N+1 has no prime factors > 10^299) D(4^^263)D: http://factordb.com/cert.php?id=1100000002468170238 E(0^^261)4DD: http://factordb.com/cert.php?id=1100000003588388352 8C(0^^290)ED: http://factordb.com/cert.php?id=1100000003588388307 D(A^^305)5: http://factordb.com/cert.php?id=1100000003588388284 CE8(0^^422)D: http://factordb.com/cert.php?id=1100000003588388257 5(F^^544)6F: http://factordb.com/cert.php?id=1100000002604723967 88(F^^545): (can be easily proven prime with the N+1 primality test, since its N+1 is trivially 100% factored) BE(0^^792)BB: http://factordb.com/cert.php?id=1100000003588387938 D(9^^1052): http://factordb.com/cert.php?id=1100000002321036020 FA(F^^1062)45: http://factordb.com/cert.php?id=1100000003588387610 F(8^^1517)F: http://factordb.com/cert.php?id=1100000000633744824 2(0^^1713)321: http://factordb.com/cert.php?id=1100000003588386735 300(F^^1960)AF: http://factordb.com/cert.php?id=1100000003588368750 9(0^^3542)91: http://factordb.com/cert.php?id=1100000000633424191 5B(C^^3700)D: http://factordb.com/cert.php?id=1100000000993764322 D0(B^^17804): http://factordb.com/cert.php?id=1100000003589278511 ( D(B^^32234), (4^^72785)DD and (3^^116137)AF are only PRPs, they are strong PRP to bases 2, 3, 5, 7, 11, 13, 17, 19, 23 and trial factored to 10^11, verified by PFGW ) Proof for Base 10 Chen has a proof for base 10, using the notation in Shallit's article. He left it as an exercise for the reader to write the proof for bases 2 ⩽ b ⩽ 9 and base b=12. The proof for base b=9 is more complex, e.g. we need to show that (3^^i)(0^^j)5 cannot be prime (only count the numbers > base, i.e. i cannot be 0), since it is divisible by 2 if i is odd and divisible by 5 if i is even. For other bases b such as b=11 it is almost impossible to write the proof, since for base b=11 there are too many (1068) minimal primes. Theorem: If S = {primes > 10 (i.e. primes with length 2 or more)}, then M(S) = {11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 227, 251, 257, 277, 281, 349, 409, 449, 499, 521, 557, 577, 587, 727, 757, 787, 821, 827, 857, 877, 881, 887, 991, 2087, 2221, 5051, 5081, 5501, 5581, 5801, 5851, 6469, 6949, 8501, 9001, 9049, 9221, 9551, 9649, 9851, 9949, 20021, 20201, 50207, 60649, 80051, 666649, 946669, 5200007, 22000001, 60000049, 66000049, 66600049, 80555551, 555555555551, 5000000000000000000000000000027}. Proof: Assume p is a prime > 10 (i.e. p is a prime with length 2 or more), and the last digit of p must lie in {1,3,7,9}. Case 1: p ends with 1. In this case we can write p = x1. If x contains 1, 3, 4, 6, or 7, then (respectively) 11 ◁ p, 31 ◁ p, 41 ◁ p, 61 ◁ p, or 71 ◁ p. Hence we may assume that x ∈ {2,5,8,9}{0,2,5,8,9}*. Case 1.1: p begins with 2. In this case we can write p = 2y1. If 5 ◁ y, then 251 ◁ p. If 8 ◁ y, then 281 ◁ p. If 9 ◁ y, then 29 ◁ p. Hence we may assume y ∈ {0,2}*. If 22 ◁ y, then 2221 ◁ p. Hence we may assume y contains zero or one 2's. If y contains no 2's, then p ∈ 20*1. But then, since the sum of the digits of p is 3, p is divisible by 3, so p cannot be prime. If y contains exactly one 2, then we can write p = 2z2w1, where z,w ∈ 0*. If 0 ◁ z and 0 ◁ w, then 20201 ◁ p. Hence we may assume either z or w is empty. If z is empty, then p ∈ 220*1, and the smallest prime p ∈ 220*1 is 22000001. If w is empty, then p ∈ 20*21, and the smallest prime p ∈ 20*21 is 20021. Case 1.2: p begins with 5. In this case we can write p = 5y1. If 2 ◁ y, then 521 ◁ p. If 9 ◁ y, then 59 ◁ p. Hence we may assume y ∈ {0,5,8}*. If 05 ◁ y, then 5051 ◁ p. If 08 ◁ y, then 5081 ◁ p. If 50 ◁ y, then 5501 ◁ p. If 58 ◁ y, then 5581 ◁ p. If 80 ◁ y, then 5801 ◁ p. If 85 ◁ y, then 5851 ◁ p. Hence we may assume y ∈ 0* ∪ 5* ∪ 8*. If y ∈ 0*, then p ∈ 50*1. But then, since the sum of the digits of p is 6, p is divisible by 3, so p cannot be prime. If y ∈ 5*, then p ∈ 55*1, and the smallest prime p ∈ 55*1 is 555555555551. If y ∈ 8*, since if 88 ◁ y, then 881 ◁ p, hence we may assume y ∈ {ε,8}, and thus p ∈ {51,581}, but 51 and 581 are both composite. Case 1.3: p begins with 8. In this case we can write p = 8y1. If 2 ◁ y, then 821 ◁ p. If 8 ◁ y, then 881 ◁ p. If 9 ◁ y, then 89 ◁ p. Hence we may assume y ∈ {0,5}*. If 50 ◁ y, then 8501 ◁ p. Hence we may assume y ∈ 0*5*. If 005 ◁ y, then 80051 ◁ p. Hence we may assume y ∈ 0* ∪ 5* ∪ 05*. If y ∈ 0*, then p ∈ 80*1. But then, since the sum of the digits of p is 9, p is divisible by 3, so p cannot be prime. If y ∈ 5*, since if 55555555555 ◁ y, then 555555555551 ◁ p, hence we may assume y ∈ {ε,5,55,555,5555,55555,555555,5555555,55555555, 555555555,5555555555}, and thus p ∈ {81,851,8551,85551,855551,8555551, 85555551,855555551,8555555551,85555555551,855555555551}, but all of these numbers are composite. If y ∈ 05*, since if 55555555555 ◁ y, then 555555555551 ◁ p, hence we may assume y ∈ {0,05,055,0555,05555,055555,0555555,05555555,055555555, 0555555555,05555555555}, and thus p ∈ {801,8051,80551,805551,8055551,80555551, 805555551,8055555551,80555555551,805555555551,8055555555551}, and of these numbers only 80555551 and 8055555551 are primes, but 80555551 ◁ 8055555551, thus only 80555551 is minimal prime. Case 1.4: p begins with 9. In this case we can write p = 9y1. If 9 ◁ y, then 991 ◁ p. Hence we may assume y ∈ {0,2,5,8}*. If 00 ◁ y, then 9001 ◁ p. If 22 ◁ y, then 9221 ◁ p. If 55 ◁ y, then 9551 ◁ p. If 88 ◁ y, then 881 ◁ p. Hence we may assume y contains at most one 0, at most one 2, at most one 5, and at most one 8. If y only contains at most one 0 and does not contain any of {2,5,8}, then y ∈ {ε,0}, and thus p ∈ {91,901}, but 91 and 901 are both composite. If y only contains at most one 0 and only one of {2,5,8}, then the sum of the digits of p is divisible by 3, p is divisible by 3, so p cannot be prime. Hence we may assume y contains at least two of {2,5,8}. If 25 ◁ y, then 251 ◁ p. If 28 ◁ y, then 281 ◁ p. If 52 ◁ y, then 521 ◁ p. If 82 ◁ y, then 821 ◁ p. Hence we may assume y contains no 2's (since if y contains 2, then y cannot contain either 5's or 8's, which is a contradiction). If 85 ◁ y, then 9851 ◁ p. Hence we may assume y ∈ {58,580,508,058}, and thus p ∈ {9581,95801,95081,90581}, and of these numbers only 95801 is prime, but 95801 is not minimal prime since 5801 ◁ 95801. Case 2: p ends with 3. In this case we can write p = x3. If x contains 1, 2, 4, 5, 7, or 8, then (respectively) 13 ◁ p, 23 ◁ p, 43 ◁ p, 53 ◁ p, 73 ◁ p, or 83 ◁ p. Hence we may assume that x ∈ {3,6,9}{0,3,6,9}*, and thus p ∈ {3,6,9}{0,3,6,9}*3. But then, since the digits of p all have a common factor 3, p is divisible by 3, so p cannot be prime. Case 3: p ends with 7. In this case we can write p = x7. If x contains 1, 3, 4, 6, or 9, then (respectively) 17 ◁ p, 37 ◁ p, 47 ◁ p, 67 ◁ p, or 97 ◁ p. Hence we may assume that x ∈ {2,5,7,8}{0,2,5,7,8}*. Case 3.1: p begins with 2. In this case we can write p = 2y7. If 2 ◁ y, then 227 ◁ p. If 5 ◁ y, then 257 ◁ p. If 7 ◁ y, then 277 ◁ p. Hence we may assume y ∈ {0,8}*. If 08 ◁ y, then 2087 ◁ p. If 88 ◁ y, then 887 ◁ p. Hence we may assume y ∈ 0* ∪ 80*. If y ∈ 0*, then p ∈ 20*7. But then, since the sum of the digits of p is 9, p is divisible by 3, so p cannot be prime. If y ∈ 80*, then p ∈ 280*7. But then p is divisible by 7, since for i ⩾ 0 we have 7 ⋅ 4(0^^i)1 = 28(0^^i)7. Case 3.2: p begins with 5. In this case we can write p = 5y7. If 5 ◁ y, then 557 ◁ p. If 7 ◁ y, then 577 ◁ p. If 8 ◁ y, then 587 ◁ p. Hence we may assume y ∈ {0,2}*. If 22 ◁ y, then 227 ◁ p. Hence we may assume y contains zero or one 2's. If y contains no 2's, then p ∈ 50*7. But then, since the sum of the digits of p is 12, p is divisible by 3, so p cannot be prime. If y contains exactly one 2, then we can write p = 5z2w7, where z,w ∈ 0*. If 0 ◁ z and 0 ◁ w, then 50207 ◁ p. Hence we may assume either z or w is empty. If z is empty, then p ∈ 520*7, and the smallest prime p ∈ 520*7 is 5200007. If w is empty, then p ∈ 50*27, and the smallest prime p ∈ 50*27 is 5000000000000000000000000000027. Case 3.3: p begins with 7. In this case we can write p = 7y7. If 2 ◁ y, then 727 ◁ p. If 5 ◁ y, then 757 ◁ p. If 8 ◁ y, then 787 ◁ p. Hence we may assume that y ∈ {0,7}*, and thus p ∈ 7{0,7}*7. But then, since the digits of p all have a common factor 7, p is divisible by 7, so p cannot be prime. Case 3.4: p begins with 8. In this case we can write p = 8y7. If 2 ◁ y, then 827 ◁ p. If 5 ◁ y, then 857 ◁ p. If 7 ◁ y, then 877 ◁ p. If 8 ◁ y, then 887 ◁ p. Hence we may assume y ∈ 0*, and thus p ∈ 80*7. But then, since the sum of the digits of p is 15, p is divisible by 3, so p cannot be prime. Case 4: p ends with 9. In this case we can write p = x9. If x contains 1, 2, 5, 7, or 8, then (respectively) 19 ◁ p, 29 ◁ p, 59 ◁ p, 79 ◁ p, or 89 ◁ p. Hence we may assume x ∈ {3,4,6,9}{0,3,4,6,9}*. If 44 ◁ x, then 449 ◁ p. Hence we may assume x contains zero or one 4's. If x contains no 4's, then x ∈ {3,6,9}{0,3,6,9}*, and thus p ∈ {3,6,9}{0,3,6,9}*9. But then, since the digits of p all have a common factor 3, p is divisible by 3, so p cannot be prime. Hence we may assume that x contains exactly one 4. Case 4.1: p begins with 3. In this case we can write p = 3y4z9, and we must have 349 ◁ p. Case 4.2: p begins with 4. In this case we can write p = 4y9, where y ∈ {0,3,6,9}*. If 0 ◁ y, then 409 ◁ p. If 3 ◁ y, then 43 ◁ p. If 9 ◁ y, then 499 ◁ p. Hence we may assume y ∈ 6*, and thus p ∈ 46*9. But then p is divisible by 7, since for i ⩾ 0 we have 7 ⋅ (6^^i)7 = 4(6^^i)9. Case 4.3: p begins with 6. In this case we can write p = 6y4z9, where y,z ∈ {0,3,6,9}*. If 0 ◁ z, then 409 ◁ p. If 3 ◁ z, then 43 ◁ p. If 6 ◁ z, then 6469 ◁ p. If 9 ◁ z, then 499 ◁ p. Hence we may assume z is empty. If 3 ◁ y, then 349 ◁ p. If 9 ◁ y, then 6949 ◁ p. Hence we may assume y ∈ {0,6}*. If 06 ◁ y, then 60649 ◁ p. Hence we may assume y ∈ 6*0*. If 666 ◁ y, then 666649 ◁ p. If 00000 ◁ y, then 60000049 ◁ p. Hence we may assume y ∈ {ε,6,66}{ε,0,00,000,0000}, and thus p ∈ 6{ε,6,66}{ε,0,00,000,0000}49, and of these numbers only 66000049 and 66600049 are primes. Case 4.4: p begins with 9. In this case we can write p = 9y4z9, where y,z ∈ {0,3,6,9}*. If 0 ◁ y, then 9049 ◁ p. If 3 ◁ y, then 349 ◁ p. If 6 ◁ y, then 9649 ◁ p. If 9 ◁ y, then 9949 ◁ p. Hence we may assume y is empty. If 0 ◁ z, then 409 ◁ p. If 3 ◁ z, then 43 ◁ p. If 9 ◁ z, then 499 ◁ p. Hence we may assume z ∈ 6*, and thus p ∈ 946*9, and the smallest prime p ∈ 946*9 is 946669. ```

A000218 Prime Curios! Prime Puzzle
Wikipedia 218 Le nombre 218
```

```