Concatenating two multiplications
Today we'll explore the rules for a new (?) iteration
a) take any number N (say 10234567890)
b) replace all the zeros of N by ones (we get 11234567891)
c) make now the "O" multiplication (we multiply the odd digits; O = 1*1*3*5*7*9*1 = 945)
d) make now the "E" multiplication (we multiply the even digits; E = 2*4*6*8 = 384)
e) form the new number N using the concatenation OE (here N = 945384) and iterate;
f) if this leads to a single-digit N, or a 2-digit N like 12 or 21 (one odd digit, one even), square N and iterate.
Example with the avatars of 12
12 --> 144 (we have squared 12)
144 --> 116 (we did 4*4 = 16)
116 --> 16 (we did 1*1 = 1)
16 --> 256 (we have squared 16)
256 --> 512 (we did 2*6 = 12, concatenated to 5)
512 --> 52 (we did 5*1 = 1)
52 --> 2704 (we have squared 52)
2704 --> 2714 (we have replaced 0 by 1)
2714 --> 78 (we did 7*1 = 7 and concatenated 8 =2*4)
78 --> 6084 (we have squared 78)
6084 --> 6184 (we have replaced 0 by 1)
6184 --> 1192 (we did 6*8*4 = 192)
... Etc.
I guess this sequence will enter into a loop, sooner or later. Or not? Some early birds:
0,1,1,1,...
3,9,81,6561,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96,...
____________________
Next morning update
Jean-Marc Falcoz was quick to compute... the journey of the first 10000 integers (which all end in a loop).
Here is the beginning of his mail (in French – then my Google-translation):
> Trajet d’un grand nombre pris au hasard :
> (Journey of a large number taken at random)
{76542776538687687632757567653465412932444765465476467476546754746547654765476547658776467574903448873975000287563247654323,76542776538687687632757567653465412932444765465476467476546754746547654765476547658776467574913448873975111287563247654323,256920017870399904805387641225814819335937514917582143430010944835413914332109471744,256921117871399914815387641225814819335937514917582143431111944835413914332119471744,39740672015302387829765625324259173170675712,39741672115312387829765625324259173171675712,3191303758584375169869312,3191313758584375169869312,1085025375147456,1185125375147456,918751536,472548,35256,7512,352,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
> Tous les débuts de cycles pour les entiers <10000 :
> (All cycle starts for integers <10000)
{14,56,92,96,156,196,212,536,732,748,768,912,3136,6561,8464,9216,9999}
> Les trajets des 20 premiers entiers jusque à, et y compris la première répétition:
> (The journey of the first 20 integers up to and including the first repetition)
{1,1}
{2,4,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{3,9,81,6561,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{4,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{5,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{6,36,1296,912,92,8464,768,748,732,212,14,196,96,9216,912}
{7,49,2401,2411,18,324,38,1444,164,124,18}
{8,64,24,8}
{9,81,6561,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{10,11,1,1}
{11,1,1}
{12,144,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{13,3,9,81,6561,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{14,196,96,9216,912,92,8464,768,748,732,212,14}
{15,5,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{17,7,49,2401,2411,18,324,38,1444,164,124,18}
{18,324,38,1444,164,124,18}
{19,9,81,6561,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{20,21,441,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
[more after the second Disney picture]
____________________
Giorgos Kalogeropoulos confirmed the previous results by JMF shortly after [Giorgos squares an integer like 10 before using the replacement (b) rule (rule saying that 0 --> 1); this doesn't affect the fate of the integers]:
> Here are the first 20 loops
{1,1}
{2,4,16,256,512,52,2704,78,6084,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{3,9,81,6561,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{4,16,256,512,52,2704,78,6084,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{5,25,625,512,52,2704,78,6084,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{6,36,1296,912,92,8464,768,748,732,212,14,196,96,9216,912}
{7,49,2401,18,324,38,1444,164,124,18}
{8,64,24,8}
{9,81,6561,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{10,100,1,1}
{11,1,1}
{12,144,116,16,256,512,52,2704,78,6084,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{13,3,9,81,6561,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{14,196,96,9216,912,92,8464,768,748,732,212,14}
{15,5,25,625,512,52,2704,78,6084,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{16,256,512,52,2704,78,6084,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{17,7,49,2401,18,324,38,1444,164,124,18}
{18,324,38,1444,164,124,18}
{19,9,81,6561,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{20,12,144,116,16,256,512,52,2704,78,6084,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
> Here are the loop-lengths of the first 100 integers:
1, 11, 11, 11, 11, 11, 6, 3, 11, 1, 1, 11, 11, 11, 11, 11, 6, 6, 11, 11, 11, 11, 3, 3, 11, 11, 6, 11, 6, 11, 11, 6, 11, 11, 11, 11, 11, 6, 6, 11, 6, 3, 3, 11, 11, 3, 3, 6, 6, 11, 11, 11, 11, 11, 11, 11, 11, 3, 11, 11, 11, 11, 11, 3, 11, 11, 11, 6, 11, 3, 6, 11, 11, 3, 11, 11, 6, 11, 11, 6, 11, 11, 6, 6, 11, 6, 11, 3, 6, 6, 11, 11, 6, 3, 11, 11, 11, 3, 11, 1
> It seems that the max loop length is 11. I checked the first 100000 integers. I also checked 100000 random 100-digit integers and didn't get a bigger loop.
____________________
Many thanks, Jean-Marc and Giorgos! The hunt for the ultimate interesting/chaotic iteration is still open!-)
> Les trajets des 1000 premiers entiers jusque à, et y compris la première répétition:
> (The journey of the first 1000 integers up to and including the first repetition)
{1,1}
{2,4,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{3,9,81,6561,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{4,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{5,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{6,36,1296,912,92,8464,768,748,732,212,14,196,96,9216,912}
{7,49,2401,2411,18,324,38,1444,164,124,18}
{8,64,24,8}
{9,81,6561,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{10,11,1,1}
{11,1,1}
{12,144,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{13,3,9,81,6561,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{14,196,96,9216,912,92,8464,768,748,732,212,14}
{15,5,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{17,7,49,2401,2411,18,324,38,1444,164,124,18}
{18,324,38,1444,164,124,18}
{19,9,81,6561,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{20,21,441,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{21,441,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{22,4,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{23,529,452,58,3364,924,98,9604,9614,924}
{24,8,64,24}
{25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{26,12,144,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{27,729,632,312,32,1024,1124,18,324,38,1444,164,124,18}
{28,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{29,841,132,32,1024,1124,18,324,38,1444,164,124,18}
{30,31,3,9,81,6561,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{31,3,9,81,6561,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{32,1024,1124,18,324,38,1444,164,124,18}
{33,9,81,6561,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{34,1156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{35,15,5,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{36,1296,912,92,8464,768,748,732,212,14,196,96,9216,912}
{37,21,441,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{38,1444,164,124,18,324,38}
{39,27,729,632,312,32,1024,1124,18,324,38,1444,164,124,18}
{40,41,1681,148,132,32,1024,1124,18,324,38,1444,164,124,18}
{41,1681,148,132,32,1024,1124,18,324,38,1444,164,124,18}
{42,8,64,24,8}
{43,1849,932,272,74,5476,3524,158,58,3364,924,98,9604,9614,924}
{44,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{45,2025,2125,54,2916,912,92,8464,768,748,732,212,14,196,96,9216,912}
{46,24,8,64,24}
{47,2209,2219,94,8836,3384,932,272,74,5476,3524,158,58,3364,924,98,9604,9614,924}
{48,32,1024,1124,18,324,38,1444,164,124,18}
{49,2401,2411,18,324,38,1444,164,124,18}
{50,51,5,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{51,5,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{53,15,5,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{54,2916,912,92,8464,768,748,732,212,14,196,96,9216,912}
{55,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{57,35,15,5,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{58,3364,924,98,9604,9614,924}
{59,45,2025,2125,54,2916,912,92,8464,768,748,732,212,14,196,96,9216,912}
{60,61,3721,212,14,196,96,9216,912,92,8464,768,748,732,212}
{61,3721,212,14,196,96,9216,912,92,8464,768,748,732,212}
{62,12,144,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{63,3969,2436,348,332,92,8464,768,748,732,212,14,196,96,9216,912,92}
{64,24,8,64}
{65,4225,516,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{66,36,1296,912,92,8464,768,748,732,212,14,196,96,9216,912}
{67,4489,9128,916,96,9216,912,92,8464,768,748,732,212,14,196,96}
{68,48,32,1024,1124,18,324,38,1444,164,124,18}
{69,4761,724,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{70,71,7,49,2401,2411,18,324,38,1444,164,124,18}
{71,7,49,2401,2411,18,324,38,1444,164,124,18}
{72,5184,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{73,21,441,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{74,5476,3524,158,58,3364,924,98,9604,9614,924}
{75,35,15,5,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{76,5776,2456,548,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{77,49,2401,2411,18,324,38,1444,164,124,18}
{78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{79,63,3969,2436,348,332,92,8464,768,748,732,212,14,196,96,9216,912,92}
{80,81,6561,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{81,6561,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{82,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{83,6889,9384,2732,214,18,324,38,1444,164,124,18}
{84,32,1024,1124,18,324,38,1444,164,124,18}
{85,7225,354,154,54,2916,912,92,8464,768,748,732,212,14,196,96,9216,912}
{86,48,32,1024,1124,18,324,38,1444,164,124,18}
{87,7569,3156,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{88,64,24,8,64}
{89,7921,632,312,32,1024,1124,18,324,38,1444,164,124,18}
{90,91,9,81,6561,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{91,9,81,6561,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{92,8464,768,748,732,212,14,196,96,9216,912,92}
{93,27,729,632,312,32,1024,1124,18,324,38,1444,164,124,18}
{94,8836,3384,932,272,74,5476,3524,158,58,3364,924,98,9604,9614,924}
{95,45,2025,2125,54,2916,912,92,8464,768,748,732,212,14,196,96,9216,912}
{96,9216,912,92,8464,768,748,732,212,14,196,96}
{97,63,3969,2436,348,332,92,8464,768,748,732,212,14,196,96,9216,912,92}
{98,9604,9614,924,98}
{99,81,6561,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{100,111,1,1}
{101,111,1,1}
{102,112,12,144,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{103,113,3,9,81,6561,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{104,114,14,196,96,9216,912,92,8464,768,748,732,212,14}
{105,115,5,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{106,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{107,117,7,49,2401,2411,18,324,38,1444,164,124,18}
{108,118,18,324,38,1444,164,124,18}
{109,119,9,81,6561,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{110,111,1,1}
{111,1,1}
{112,12,144,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{113,3,9,81,6561,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{114,14,196,96,9216,912,92,8464,768,748,732,212,14}
{115,5,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{117,7,49,2401,2411,18,324,38,1444,164,124,18}
{118,18,324,38,1444,164,124,18}
{119,9,81,6561,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{120,121,12,144,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{121,12,144,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{122,14,196,96,9216,912,92,8464,768,748,732,212,14}
{123,32,1024,1124,18,324,38,1444,164,124,18}
{124,18,324,38,1444,164,124}
{125,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{126,112,12,144,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{127,72,5184,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{128,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{129,92,8464,768,748,732,212,14,196,96,9216,912,92}
{130,131,3,9,81,6561,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{131,3,9,81,6561,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{132,32,1024,1124,18,324,38,1444,164,124,18}
{133,9,81,6561,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{134,34,1156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{135,15,5,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{136,36,1296,912,92,8464,768,748,732,212,14,196,96,9216,912}
{137,21,441,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{138,38,1444,164,124,18,324,38}
{139,27,729,632,312,32,1024,1124,18,324,38,1444,164,124,18}
{140,141,14,196,96,9216,912,92,8464,768,748,732,212,14}
{141,14,196,96,9216,912,92,8464,768,748,732,212,14}
{142,18,324,38,1444,164,124,18}
{143,34,1156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{144,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{145,54,2916,912,92,8464,768,748,732,212,14,196,96,9216,912}
{146,124,18,324,38,1444,164,124}
{147,74,5476,3524,158,58,3364,924,98,9604,9614,924}
{148,132,32,1024,1124,18,324,38,1444,164,124,18}
{149,94,8836,3384,932,272,74,5476,3524,158,58,3364,924,98,9604,9614,924}
{150,151,5,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{151,5,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{153,15,5,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{154,54,2916,912,92,8464,768,748,732,212,14,196,96,9216,912}
{155,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{157,35,15,5,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{158,58,3364,924,98,9604,9614,924}
{159,45,2025,2125,54,2916,912,92,8464,768,748,732,212,14,196,96,9216,912}
{160,161,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{161,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{162,112,12,144,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{163,36,1296,912,92,8464,768,748,732,212,14,196,96,9216,912}
{164,124,18,324,38,1444,164}
{165,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{166,136,36,1296,912,92,8464,768,748,732,212,14,196,96,9216,912}
{167,76,5776,2456,548,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{168,148,132,32,1024,1124,18,324,38,1444,164,124,18}
{169,96,9216,912,92,8464,768,748,732,212,14,196,96}
{170,171,7,49,2401,2411,18,324,38,1444,164,124,18}
{171,7,49,2401,2411,18,324,38,1444,164,124,18}
{172,72,5184,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{173,21,441,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{174,74,5476,3524,158,58,3364,924,98,9604,9614,924}
{175,35,15,5,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{176,76,5776,2456,548,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{177,49,2401,2411,18,324,38,1444,164,124,18}
{178,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{179,63,3969,2436,348,332,92,8464,768,748,732,212,14,196,96,9216,912,92}
{180,181,18,324,38,1444,164,124,18}
{181,18,324,38,1444,164,124,18}
{182,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{183,38,1444,164,124,18,324,38}
{184,132,32,1024,1124,18,324,38,1444,164,124,18}
{185,58,3364,924,98,9604,9614,924}
{186,148,132,32,1024,1124,18,324,38,1444,164,124,18}
{187,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{188,164,124,18,324,38,1444,164}
{189,98,9604,9614,924,98}
{190,191,9,81,6561,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{191,9,81,6561,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{193,27,729,632,312,32,1024,1124,18,324,38,1444,164,124,18}
{194,94,8836,3384,932,272,74,5476,3524,158,58,3364,924,98,9604,9614,924}
{195,45,2025,2125,54,2916,912,92,8464,768,748,732,212,14,196,96,9216,912}
{196,96,9216,912,92,8464,768,748,732,212,14,196}
{197,63,3969,2436,348,332,92,8464,768,748,732,212,14,196,96,9216,912,92}
{198,98,9604,9614,924,98}
{199,81,6561,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{200,211,12,144,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{201,211,12,144,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{202,212,14,196,96,9216,912,92,8464,768,748,732,212}
{203,213,32,1024,1124,18,324,38,1444,164,124,18}
{204,214,18,324,38,1444,164,124,18}
{205,215,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{206,216,112,12,144,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{207,217,72,5184,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{208,218,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{209,219,92,8464,768,748,732,212,14,196,96,9216,912,92}
{210,211,12,144,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{211,12,144,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{212,14,196,96,9216,912,92,8464,768,748,732,212}
{213,32,1024,1124,18,324,38,1444,164,124,18}
{214,18,324,38,1444,164,124,18}
{215,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{216,112,12,144,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{217,72,5184,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{218,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{219,92,8464,768,748,732,212,14,196,96,9216,912,92}
{220,221,14,196,96,9216,912,92,8464,768,748,732,212,14}
{221,14,196,96,9216,912,92,8464,768,748,732,212,14}
{222,8,64,24,8}
{223,34,1156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{224,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{225,54,2916,912,92,8464,768,748,732,212,14,196,96,9216,912}
{226,24,8,64,24}
{227,74,5476,3524,158,58,3364,924,98,9604,9614,924}
{228,32,1024,1124,18,324,38,1444,164,124,18}
{229,94,8836,3384,932,272,74,5476,3524,158,58,3364,924,98,9604,9614,924}
{230,231,32,1024,1124,18,324,38,1444,164,124,18}
{231,32,1024,1124,18,324,38,1444,164,124,18}
{232,34,1156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{233,92,8464,768,748,732,212,14,196,96,9216,912,92}
{234,38,1444,164,124,18,324,38}
{235,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{236,312,32,1024,1124,18,324,38,1444,164,124,18}
{237,212,14,196,96,9216,912,92,8464,768,748,732,212}
{238,316,36,1296,912,92,8464,768,748,732,212,14,196,96,9216,912}
{239,272,74,5476,3524,158,58,3364,924,98,9604,9614,924}
{240,241,18,324,38,1444,164,124,18}
{241,18,324,38,1444,164,124,18}
{242,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{243,38,1444,164,124,18,324,38}
{244,32,1024,1124,18,324,38,1444,164,124,18}
{245,58,3364,924,98,9604,9614,924}
{246,48,32,1024,1124,18,324,38,1444,164,124,18}
{247,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{248,64,24,8,64}
{249,98,9604,9614,924,98}
{250,251,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{251,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{252,54,2916,912,92,8464,768,748,732,212,14,196,96,9216,912}
{253,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{254,58,3364,924,98,9604,9614,924}
{255,252,54,2916,912,92,8464,768,748,732,212,14,196,96,9216,912}
{256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{257,352,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{258,516,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{259,452,58,3364,924,98,9604,9614,924}
{260,261,112,12,144,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{261,112,12,144,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{262,24,8,64,24}
{263,312,32,1024,1124,18,324,38,1444,164,124,18}
{264,48,32,1024,1124,18,324,38,1444,164,124,18}
{265,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{266,72,5184,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{267,712,72,5184,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{268,96,9216,912,92,8464,768,748,732,212,14,196,96}
{269,912,92,8464,768,748,732,212,14,196,96,9216,912}
{270,271,72,5184,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{271,72,5184,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{272,74,5476,3524,158,58,3364,924,98,9604,9614,924}
{273,212,14,196,96,9216,912,92,8464,768,748,732,212}
{274,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{275,352,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{276,712,72,5184,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{277,492,98,9604,9614,924,98}
{278,716,76,5776,2456,548,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{279,632,312,32,1024,1124,18,324,38,1444,164,124,18}
{280,281,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{281,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{282,32,1024,1124,18,324,38,1444,164,124,18}
{283,316,36,1296,912,92,8464,768,748,732,212,14,196,96,9216,912}
{284,64,24,8,64}
{285,516,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{286,96,9216,912,92,8464,768,748,732,212,14,196,96}
{287,716,76,5776,2456,548,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{288,128,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{289,916,96,9216,912,92,8464,768,748,732,212,14,196,96}
{290,291,92,8464,768,748,732,212,14,196,96,9216,912,92}
{291,92,8464,768,748,732,212,14,196,96,9216,912,92}
{292,94,8836,3384,932,272,74,5476,3524,158,58,3364,924,98,9604,9614,924}
{293,272,74,5476,3524,158,58,3364,924,98,9604,9614,924}
{294,98,9604,9614,924,98}
{295,452,58,3364,924,98,9604,9614,924}
{296,912,92,8464,768,748,732,212,14,196,96,9216,912}
{297,632,312,32,1024,1124,18,324,38,1444,164,124,18}
{298,916,96,9216,912,92,8464,768,748,732,212,14,196,96}
{299,812,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{300,311,3,9,81,6561,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{301,311,3,9,81,6561,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{302,312,32,1024,1124,18,324,38,1444,164,124,18}
{303,313,9,81,6561,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{304,314,34,1156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{305,315,15,5,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{306,316,36,1296,912,92,8464,768,748,732,212,14,196,96,9216,912}
{307,317,21,441,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{308,318,38,1444,164,124,18,324,38}
{309,319,27,729,632,312,32,1024,1124,18,324,38,1444,164,124,18}
{310,311,3,9,81,6561,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{311,3,9,81,6561,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{312,32,1024,1124,18,324,38,1444,164,124,18}
{313,9,81,6561,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{314,34,1156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{315,15,5,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{316,36,1296,912,92,8464,768,748,732,212,14,196,96,9216,912}
{317,21,441,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{318,38,1444,164,124,18,324,38}
{319,27,729,632,312,32,1024,1124,18,324,38,1444,164,124,18}
{320,321,32,1024,1124,18,324,38,1444,164,124,18}
{321,32,1024,1124,18,324,38,1444,164,124,18}
{322,34,1156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{323,92,8464,768,748,732,212,14,196,96,9216,912,92}
{324,38,1444,164,124,18,324}
{325,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{326,312,32,1024,1124,18,324,38,1444,164,124,18}
{327,212,14,196,96,9216,912,92,8464,768,748,732,212}
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{332,92,8464,768,748,732,212,14,196,96,9216,912,92}
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{336,96,9216,912,92,8464,768,748,732,212,14,196,96}
{337,63,3969,2436,348,332,92,8464,768,748,732,212,14,196,96,9216,912,92}
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{340,341,34,1156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
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{342,38,1444,164,124,18,324,38}
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{347,214,18,324,38,1444,164,124,18}
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{352,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{353,45,2025,2125,54,2916,912,92,8464,768,748,732,212,14,196,96,9216,912}
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{358,158,58,3364,924,98,9604,9614,924}
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{368,348,332,92,8464,768,748,732,212,14,196,96,9216,912,92}
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{372,212,14,196,96,9216,912,92,8464,768,748,732,212}
{373,63,3969,2436,348,332,92,8464,768,748,732,212,14,196,96,9216,912,92}
{374,214,18,324,38,1444,164,124,18}
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{376,216,112,12,144,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
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{378,218,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{379,189,98,9604,9614,924,98}
{380,381,38,1444,164,124,18,324,38}
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{383,98,9604,9614,924,98}
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{385,158,58,3364,924,98,9604,9614,924}
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{388,364,324,38,1444,164,124,18,324}
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{393,81,6561,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{394,274,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{395,135,15,5,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{396,276,712,72,5184,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
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{404,414,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{405,415,54,2916,912,92,8464,768,748,732,212,14,196,96,9216,912}
{406,416,124,18,324,38,1444,164,124}
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{410,411,14,196,96,9216,912,92,8464,768,748,732,212,14}
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{413,34,1156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
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{415,54,2916,912,92,8464,768,748,732,212,14,196,96,9216,912}
{416,124,18,324,38,1444,164,124}
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{423,38,1444,164,124,18,324,38}
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{428,64,24,8,64}
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{432,38,1444,164,124,18,324,38}
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{434,316,36,1296,912,92,8464,768,748,732,212,14,196,96,9216,912}
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{436,324,38,1444,164,124,18,324}
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{441,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{442,32,1024,1124,18,324,38,1444,164,124,18}
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{444,64,24,8,64}
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{451,54,2916,912,92,8464,768,748,732,212,14,196,96,9216,912}
{452,58,3364,924,98,9604,9614,924}
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{460,461,124,18,324,38,1444,164,124}
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{463,324,38,1444,164,124,18,324}
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{467,724,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{468,192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{469,924,98,9604,9614,924}
{470,471,74,5476,3524,158,58,3364,924,98,9604,9614,924}
{471,74,5476,3524,158,58,3364,924,98,9604,9614,924}
{472,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{473,214,18,324,38,1444,164,124,18}
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{475,354,154,54,2916,912,92,8464,768,748,732,212,14,196,96,9216,912}
{476,724,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{477,494,916,96,9216,912,92,8464,768,748,732,212,14,196,96}
{478,732,212,14,196,96,9216,912,92,8464,768,748,732}
{479,634,324,38,1444,164,124,18,324}
{480,481,132,32,1024,1124,18,324,38,1444,164,124,18}
{481,132,32,1024,1124,18,324,38,1444,164,124,18}
{482,64,24,8,64}
{483,332,92,8464,768,748,732,212,14,196,96,9216,912,92}
{484,128,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{485,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{486,192,92,8464,768,748,732,212,14,196,96,9216,912,92}
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{488,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{489,932,272,74,5476,3524,158,58,3364,924,98,9604,9614,924}
{490,491,94,8836,3384,932,272,74,5476,3524,158,58,3364,924,98,9604,9614,924}
{491,94,8836,3384,932,272,74,5476,3524,158,58,3364,924,98,9604,9614,924}
{492,98,9604,9614,924,98}
{493,274,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{494,916,96,9216,912,92,8464,768,748,732,212,14,196,96}
{495,454,516,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{496,924,98,9604,9614,924}
{497,634,324,38,1444,164,124,18,324}
{498,932,272,74,5476,3524,158,58,3364,924,98,9604,9614,924}
{499,814,132,32,1024,1124,18,324,38,1444,164,124,18}
{500,511,5,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{501,511,5,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{502,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{503,513,15,5,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{504,514,54,2916,912,92,8464,768,748,732,212,14,196,96,9216,912}
{505,515,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{506,516,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{507,517,35,15,5,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{508,518,58,3364,924,98,9604,9614,924}
{509,519,45,2025,2125,54,2916,912,92,8464,768,748,732,212,14,196,96,9216,912}
{510,511,5,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{511,5,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{513,15,5,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{514,54,2916,912,92,8464,768,748,732,212,14,196,96,9216,912}
{515,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{516,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{517,35,15,5,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{518,58,3364,924,98,9604,9614,924}
{519,45,2025,2125,54,2916,912,92,8464,768,748,732,212,14,196,96,9216,912}
{520,521,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{521,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{522,54,2916,912,92,8464,768,748,732,212,14,196,96,9216,912}
{523,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{524,58,3364,924,98,9604,9614,924}
{525,252,54,2916,912,92,8464,768,748,732,212,14,196,96,9216,912}
{526,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{527,352,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{528,516,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{529,452,58,3364,924,98,9604,9614,924}
{530,531,15,5,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
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{532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{533,45,2025,2125,54,2916,912,92,8464,768,748,732,212,14,196,96,9216,912}
{534,154,54,2916,912,92,8464,768,748,732,212,14,196,96,9216,912}
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{537,105,115,5,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
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{540,541,54,2916,912,92,8464,768,748,732,212,14,196,96,9216,912}
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{546,524,58,3364,924,98,9604,9614,924}
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{552,252,54,2916,912,92,8464,768,748,732,212,14,196,96,9216,912}
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{559,225,54,2916,912,92,8464,768,748,732,212,14,196,96,9216,912}
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{563,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
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{565,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{566,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
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{568,548,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
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{572,352,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{573,105,115,5,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{574,354,154,54,2916,912,92,8464,768,748,732,212,14,196,96,9216,912}
{575,175,35,15,5,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{576,356,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{577,245,58,3364,924,98,9604,9614,924}
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{580,581,58,3364,924,98,9604,9614,924}
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{583,158,58,3364,924,98,9604,9614,924}
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{585,258,516,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
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{587,358,158,58,3364,924,98,9604,9614,924}
{588,564,524,58,3364,924,98,9604,9614,924}
{589,458,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{590,591,45,2025,2125,54,2916,912,92,8464,768,748,732,212,14,196,96,9216,912}
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{592,452,58,3364,924,98,9604,9614,924}
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{594,454,516,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{595,225,54,2916,912,92,8464,768,748,732,212,14,196,96,9216,912}
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{598,458,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{599,405,415,54,2916,912,92,8464,768,748,732,212,14,196,96,9216,912}
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{601,611,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{602,612,112,12,144,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{603,613,36,1296,912,92,8464,768,748,732,212,14,196,96,9216,912}
{604,614,124,18,324,38,1444,164,124}
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{606,616,136,36,1296,912,92,8464,768,748,732,212,14,196,96,9216,912}
{607,617,76,5776,2456,548,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
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{610,611,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{611,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{612,112,12,144,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{613,36,1296,912,92,8464,768,748,732,212,14,196,96,9216,912}
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{615,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{616,136,36,1296,912,92,8464,768,748,732,212,14,196,96,9216,912}
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{618,148,132,32,1024,1124,18,324,38,1444,164,124,18}
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{624,48,32,1024,1124,18,324,38,1444,164,124,18}
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{626,72,5184,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{627,712,72,5184,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{628,96,9216,912,92,8464,768,748,732,212,14,196,96}
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{630,631,36,1296,912,92,8464,768,748,732,212,14,196,96,9216,912}
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{632,312,32,1024,1124,18,324,38,1444,164,124,18}
{633,96,9216,912,92,8464,768,748,732,212,14,196,96}
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{636,336,96,9216,912,92,8464,768,748,732,212,14,196,96}
{637,216,112,12,144,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{638,348,332,92,8464,768,748,732,212,14,196,96,9216,912,92}
{639,276,712,72,5184,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
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{642,48,32,1024,1124,18,324,38,1444,164,124,18}
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{647,724,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{648,192,92,8464,768,748,732,212,14,196,96,9216,912,92}
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{652,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{653,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{654,524,58,3364,924,98,9604,9614,924}
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{656,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{657,356,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{658,548,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{659,456,524,58,3364,924,98,9604,9614,924}
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{662,72,5184,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{663,336,96,9216,912,92,8464,768,748,732,212,14,196,96}
{664,144,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{665,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
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{667,736,216,112,12,144,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{668,288,128,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{669,936,276,712,72,5184,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{670,671,76,5776,2456,548,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{671,76,5776,2456,548,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{672,712,72,5184,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{673,216,112,12,144,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{674,724,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{675,356,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{676,736,216,112,12,144,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{677,496,924,98,9604,9614,924}
{678,748,732,212,14,196,96,9216,912,92,8464,768,748}
{679,636,336,96,9216,912,92,8464,768,748,732,212,14,196,96}
{680,681,148,132,32,1024,1124,18,324,38,1444,164,124,18}
{681,148,132,32,1024,1124,18,324,38,1444,164,124,18}
{682,96,9216,912,92,8464,768,748,732,212,14,196,96}
{683,348,332,92,8464,768,748,732,212,14,196,96,9216,912,92}
{684,192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{685,548,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{686,288,128,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{687,748,732,212,14,196,96,9216,912,92,8464,768,748}
{688,384,332,92,8464,768,748,732,212,14,196,96,9216,912,92}
{689,948,932,272,74,5476,3524,158,58,3364,924,98,9604,9614,924}
{690,691,96,9216,912,92,8464,768,748,732,212,14,196,96}
{691,96,9216,912,92,8464,768,748,732,212,14,196,96}
{692,912,92,8464,768,748,732,212,14,196,96,9216,912}
{693,276,712,72,5184,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{694,924,98,9604,9614,924}
{695,456,524,58,3364,924,98,9604,9614,924}
{696,936,276,712,72,5184,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{697,636,336,96,9216,912,92,8464,768,748,732,212,14,196,96}
{698,948,932,272,74,5476,3524,158,58,3364,924,98,9604,9614,924}
{699,816,148,132,32,1024,1124,18,324,38,1444,164,124,18}
{700,711,7,49,2401,2411,18,324,38,1444,164,124,18}
{701,711,7,49,2401,2411,18,324,38,1444,164,124,18}
{702,712,72,5184,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{703,713,21,441,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{704,714,74,5476,3524,158,58,3364,924,98,9604,9614,924}
{705,715,35,15,5,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{706,716,76,5776,2456,548,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{707,717,49,2401,2411,18,324,38,1444,164,124,18}
{708,718,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{709,719,63,3969,2436,348,332,92,8464,768,748,732,212,14,196,96,9216,912,92}
{710,711,7,49,2401,2411,18,324,38,1444,164,124,18}
{711,7,49,2401,2411,18,324,38,1444,164,124,18}
{712,72,5184,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{713,21,441,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{714,74,5476,3524,158,58,3364,924,98,9604,9614,924}
{715,35,15,5,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{716,76,5776,2456,548,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{717,49,2401,2411,18,324,38,1444,164,124,18}
{718,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{719,63,3969,2436,348,332,92,8464,768,748,732,212,14,196,96,9216,912,92}
{720,721,72,5184,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{721,72,5184,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{722,74,5476,3524,158,58,3364,924,98,9604,9614,924}
{723,212,14,196,96,9216,912,92,8464,768,748,732,212}
{724,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{725,352,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{726,712,72,5184,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{727,492,98,9604,9614,924,98}
{728,716,76,5776,2456,548,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{729,632,312,32,1024,1124,18,324,38,1444,164,124,18}
{730,731,21,441,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{731,21,441,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{732,212,14,196,96,9216,912,92,8464,768,748,732}
{733,63,3969,2436,348,332,92,8464,768,748,732,212,14,196,96,9216,912,92}
{734,214,18,324,38,1444,164,124,18}
{735,105,115,5,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{736,216,112,12,144,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{737,147,74,5476,3524,158,58,3364,924,98,9604,9614,924}
{738,218,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{739,189,98,9604,9614,924,98}
{740,741,74,5476,3524,158,58,3364,924,98,9604,9614,924}
{741,74,5476,3524,158,58,3364,924,98,9604,9614,924}
{742,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{743,214,18,324,38,1444,164,124,18}
{744,716,76,5776,2456,548,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{745,354,154,54,2916,912,92,8464,768,748,732,212,14,196,96,9216,912}
{746,724,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{747,494,916,96,9216,912,92,8464,768,748,732,212,14,196,96}
{748,732,212,14,196,96,9216,912,92,8464,768,748}
{749,634,324,38,1444,164,124,18,324}
{750,751,35,15,5,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{751,35,15,5,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{752,352,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{753,105,115,5,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{754,354,154,54,2916,912,92,8464,768,748,732,212,14,196,96,9216,912}
{755,175,35,15,5,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{756,356,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{757,245,58,3364,924,98,9604,9614,924}
{758,358,158,58,3364,924,98,9604,9614,924}
{759,315,15,5,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{760,761,76,5776,2456,548,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{761,76,5776,2456,548,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{762,712,72,5184,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{763,216,112,12,144,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{764,724,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{765,356,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{766,736,216,112,12,144,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{767,496,924,98,9604,9614,924}
{768,748,732,212,14,196,96,9216,912,92,8464,768}
{769,636,336,96,9216,912,92,8464,768,748,732,212,14,196,96}
{770,771,49,2401,2411,18,324,38,1444,164,124,18}
{771,49,2401,2411,18,324,38,1444,164,124,18}
{772,492,98,9604,9614,924,98}
{773,147,74,5476,3524,158,58,3364,924,98,9604,9614,924}
{774,494,916,96,9216,912,92,8464,768,748,732,212,14,196,96}
{775,245,58,3364,924,98,9604,9614,924}
{776,496,924,98,9604,9614,924}
{777,343,94,8836,3384,932,272,74,5476,3524,158,58,3364,924,98,9604,9614,924}
{778,498,932,272,74,5476,3524,158,58,3364,924,98,9604,9614,924}
{779,441,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{780,781,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{781,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{782,716,76,5776,2456,548,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{783,218,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{784,732,212,14,196,96,9216,912,92,8464,768,748,732}
{785,358,158,58,3364,924,98,9604,9614,924}
{786,748,732,212,14,196,96,9216,912,92,8464,768,748}
{787,498,932,272,74,5476,3524,158,58,3364,924,98,9604,9614,924}
{788,764,724,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{789,638,348,332,92,8464,768,748,732,212,14,196,96,9216,912,92}
{790,791,63,3969,2436,348,332,92,8464,768,748,732,212,14,196,96,9216,912,92}
{791,63,3969,2436,348,332,92,8464,768,748,732,212,14,196,96,9216,912,92}
{792,632,312,32,1024,1124,18,324,38,1444,164,124,18}
{793,189,98,9604,9614,924,98}
{794,634,324,38,1444,164,124,18,324}
{795,315,15,5,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{796,636,336,96,9216,912,92,8464,768,748,732,212,14,196,96}
{797,441,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{798,638,348,332,92,8464,768,748,732,212,14,196,96,9216,912,92}
{799,567,356,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{800,811,18,324,38,1444,164,124,18}
{801,811,18,324,38,1444,164,124,18}
{802,812,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{803,813,38,1444,164,124,18,324,38}
{804,814,132,32,1024,1124,18,324,38,1444,164,124,18}
{805,815,58,3364,924,98,9604,9614,924}
{806,816,148,132,32,1024,1124,18,324,38,1444,164,124,18}
{807,817,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{808,818,164,124,18,324,38,1444,164}
{809,819,98,9604,9614,924,98}
{810,811,18,324,38,1444,164,124,18}
{811,18,324,38,1444,164,124,18}
{812,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{813,38,1444,164,124,18,324,38}
{814,132,32,1024,1124,18,324,38,1444,164,124,18}
{815,58,3364,924,98,9604,9614,924}
{816,148,132,32,1024,1124,18,324,38,1444,164,124,18}
{817,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{818,164,124,18,324,38,1444,164}
{819,98,9604,9614,924,98}
{820,821,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{821,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{822,32,1024,1124,18,324,38,1444,164,124,18}
{823,316,36,1296,912,92,8464,768,748,732,212,14,196,96,9216,912}
{824,64,24,8,64}
{825,516,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{826,96,9216,912,92,8464,768,748,732,212,14,196,96}
{827,716,76,5776,2456,548,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{828,128,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{829,916,96,9216,912,92,8464,768,748,732,212,14,196,96}
{830,831,38,1444,164,124,18,324,38}
{831,38,1444,164,124,18,324,38}
{832,316,36,1296,912,92,8464,768,748,732,212,14,196,96,9216,912}
{833,98,9604,9614,924,98}
{834,332,92,8464,768,748,732,212,14,196,96,9216,912,92}
{835,158,58,3364,924,98,9604,9614,924}
{836,348,332,92,8464,768,748,732,212,14,196,96,9216,912,92}
{837,218,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{838,364,324,38,1444,164,124,18,324}
{839,278,716,76,5776,2456,548,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{840,841,132,32,1024,1124,18,324,38,1444,164,124,18}
{841,132,32,1024,1124,18,324,38,1444,164,124,18}
{842,64,24,8,64}
{843,332,92,8464,768,748,732,212,14,196,96,9216,912,92}
{844,128,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{845,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{846,192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{847,732,212,14,196,96,9216,912,92,8464,768,748,732}
{848,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{849,932,272,74,5476,3524,158,58,3364,924,98,9604,9614,924}
{850,851,58,3364,924,98,9604,9614,924}
{851,58,3364,924,98,9604,9614,924}
{852,516,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{853,158,58,3364,924,98,9604,9614,924}
{854,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{855,258,516,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{856,548,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{857,358,158,58,3364,924,98,9604,9614,924}
{858,564,524,58,3364,924,98,9604,9614,924}
{859,458,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{860,861,148,132,32,1024,1124,18,324,38,1444,164,124,18}
{861,148,132,32,1024,1124,18,324,38,1444,164,124,18}
{862,96,9216,912,92,8464,768,748,732,212,14,196,96}
{863,348,332,92,8464,768,748,732,212,14,196,96,9216,912,92}
{864,192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{865,548,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{866,288,128,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{867,748,732,212,14,196,96,9216,912,92,8464,768,748}
{868,384,332,92,8464,768,748,732,212,14,196,96,9216,912,92}
{869,948,932,272,74,5476,3524,158,58,3364,924,98,9604,9614,924}
{870,871,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{871,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{872,716,76,5776,2456,548,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{873,218,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{874,732,212,14,196,96,9216,912,92,8464,768,748,732}
{875,358,158,58,3364,924,98,9604,9614,924}
{876,748,732,212,14,196,96,9216,912,92,8464,768,748}
{877,498,932,272,74,5476,3524,158,58,3364,924,98,9604,9614,924}
{878,764,724,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{879,638,348,332,92,8464,768,748,732,212,14,196,96,9216,912,92}
{880,881,164,124,18,324,38,1444,164}
{881,164,124,18,324,38,1444,164}
{882,128,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{883,364,324,38,1444,164,124,18,324}
{884,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{885,564,524,58,3364,924,98,9604,9614,924}
{886,384,332,92,8464,768,748,732,212,14,196,96,9216,912,92}
{887,764,724,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{888,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{889,964,924,98,9604,9614,924}
{890,891,98,9604,9614,924,98}
{891,98,9604,9614,924,98}
{892,916,96,9216,912,92,8464,768,748,732,212,14,196,96}
{893,278,716,76,5776,2456,548,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{894,932,272,74,5476,3524,158,58,3364,924,98,9604,9614,924}
{895,458,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{896,948,932,272,74,5476,3524,158,58,3364,924,98,9604,9614,924}
{897,638,348,332,92,8464,768,748,732,212,14,196,96,9216,912,92}
{898,964,924,98,9604,9614,924}
{899,818,164,124,18,324,38,1444,164}
{900,911,9,81,6561,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{901,911,9,81,6561,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{902,912,92,8464,768,748,732,212,14,196,96,9216,912}
{903,913,27,729,632,312,32,1024,1124,18,324,38,1444,164,124,18}
{904,914,94,8836,3384,932,272,74,5476,3524,158,58,3364,924,98,9604,9614,924}
{905,915,45,2025,2125,54,2916,912,92,8464,768,748,732,212,14,196,96,9216,912}
{906,916,96,9216,912,92,8464,768,748,732,212,14,196,96}
{907,917,63,3969,2436,348,332,92,8464,768,748,732,212,14,196,96,9216,912,92}
{908,918,98,9604,9614,924,98}
{909,919,81,6561,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{910,911,9,81,6561,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{911,9,81,6561,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{912,92,8464,768,748,732,212,14,196,96,9216,912}
{913,27,729,632,312,32,1024,1124,18,324,38,1444,164,124,18}
{914,94,8836,3384,932,272,74,5476,3524,158,58,3364,924,98,9604,9614,924}
{915,45,2025,2125,54,2916,912,92,8464,768,748,732,212,14,196,96,9216,912}
{916,96,9216,912,92,8464,768,748,732,212,14,196,96}
{917,63,3969,2436,348,332,92,8464,768,748,732,212,14,196,96,9216,912,92}
{918,98,9604,9614,924,98}
{919,81,6561,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{920,921,92,8464,768,748,732,212,14,196,96,9216,912,92}
{921,92,8464,768,748,732,212,14,196,96,9216,912,92}
{922,94,8836,3384,932,272,74,5476,3524,158,58,3364,924,98,9604,9614,924}
{923,272,74,5476,3524,158,58,3364,924,98,9604,9614,924}
{924,98,9604,9614,924}
{925,452,58,3364,924,98,9604,9614,924}
{926,912,92,8464,768,748,732,212,14,196,96,9216,912}
{927,632,312,32,1024,1124,18,324,38,1444,164,124,18}
{928,916,96,9216,912,92,8464,768,748,732,212,14,196,96}
{929,812,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{930,931,27,729,632,312,32,1024,1124,18,324,38,1444,164,124,18}
{931,27,729,632,312,32,1024,1124,18,324,38,1444,164,124,18}
{932,272,74,5476,3524,158,58,3364,924,98,9604,9614,924}
{933,81,6561,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{934,274,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{935,135,15,5,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{936,276,712,72,5184,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{937,189,98,9604,9614,924,98}
{938,278,716,76,5776,2456,548,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{939,243,38,1444,164,124,18,324,38}
{940,941,94,8836,3384,932,272,74,5476,3524,158,58,3364,924,98,9604,9614,924}
{941,94,8836,3384,932,272,74,5476,3524,158,58,3364,924,98,9604,9614,924}
{942,98,9604,9614,924,98}
{943,274,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{944,916,96,9216,912,92,8464,768,748,732,212,14,196,96}
{945,454,516,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{946,924,98,9604,9614,924}
{947,634,324,38,1444,164,124,18,324}
{948,932,272,74,5476,3524,158,58,3364,924,98,9604,9614,924}
{949,814,132,32,1024,1124,18,324,38,1444,164,124,18}
{950,951,45,2025,2125,54,2916,912,92,8464,768,748,732,212,14,196,96,9216,912}
{951,45,2025,2125,54,2916,912,92,8464,768,748,732,212,14,196,96,9216,912}
{952,452,58,3364,924,98,9604,9614,924}
{953,135,15,5,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{954,454,516,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{955,225,54,2916,912,92,8464,768,748,732,212,14,196,96,9216,912}
{956,456,524,58,3364,924,98,9604,9614,924}
{957,315,15,5,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{958,458,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{959,405,415,54,2916,912,92,8464,768,748,732,212,14,196,96,9216,912}
{960,961,96,9216,912,92,8464,768,748,732,212,14,196,96}
{961,96,9216,912,92,8464,768,748,732,212,14,196,96}
{962,912,92,8464,768,748,732,212,14,196,96,9216,912}
{963,276,712,72,5184,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{964,924,98,9604,9614,924}
{965,456,524,58,3364,924,98,9604,9614,924}
{966,936,276,712,72,5184,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{967,636,336,96,9216,912,92,8464,768,748,732,212,14,196,96}
{968,948,932,272,74,5476,3524,158,58,3364,924,98,9604,9614,924}
{969,816,148,132,32,1024,1124,18,324,38,1444,164,124,18}
{970,971,63,3969,2436,348,332,92,8464,768,748,732,212,14,196,96,9216,912,92}
{971,63,3969,2436,348,332,92,8464,768,748,732,212,14,196,96,9216,912,92}
{972,632,312,32,1024,1124,18,324,38,1444,164,124,18}
{973,189,98,9604,9614,924,98}
{974,634,324,38,1444,164,124,18,324}
{975,315,15,5,25,625,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{976,636,336,96,9216,912,92,8464,768,748,732,212,14,196,96}
{977,441,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{978,638,348,332,92,8464,768,748,732,212,14,196,96,9216,912,92}
{979,567,356,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{980,981,98,9604,9614,924,98}
{981,98,9604,9614,924,98}
{982,916,96,9216,912,92,8464,768,748,732,212,14,196,96}
{983,278,716,76,5776,2456,548,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{984,932,272,74,5476,3524,158,58,3364,924,98,9604,9614,924}
{985,458,532,152,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{986,948,932,272,74,5476,3524,158,58,3364,924,98,9604,9614,924}
{987,638,348,332,92,8464,768,748,732,212,14,196,96,9216,912,92}
{988,964,924,98,9604,9614,924}
{989,818,164,124,18,324,38,1444,164}
{990,991,81,6561,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{991,81,6561,536,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{992,812,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
{993,243,38,1444,164,124,18,324,38}
{994,814,132,32,1024,1124,18,324,38,1444,164,124,18}
{995,405,415,54,2916,912,92,8464,768,748,732,212,14,196,96,9216,912}
{996,816,148,132,32,1024,1124,18,324,38,1444,164,124,18}
{997,567,356,156,56,3136,96,9216,912,92,8464,768,748,732,212,14,196,96}
{998,818,164,124,18,324,38,1444,164}
{999,729,632,312,32,1024,1124,18,324,38,1444,164,124,18}
{1000,1111,1,1}
{1001,1111,1,1}
{1002,1112,12,144,116,16,256,512,52,2704,2714,78,6084,6184,1192,92,8464,768,748,732,212,14,196,96,9216,912,92}
...
[and for those who like such data avalanches, what about snow?]
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