TopCoder Statistics - Problem Statement

Problem Statement

Your task is to find n positive integers. We will label them x[0] through x[n-1].

We will give you some information about these integers. Namely, for some pairs of integers we will tell you their greatest common divisor (GCD), and for some pairs we will tell you their least common multiple (LCM).

You are given the int n. You are also given a String type and three int[]s: A, B, and C. These int[]s will all have the same number of elements, and type will contain the corresponding number of characters. Their meaning is as follows: For each valid i, we have some information about the integers x[ A[i] ] and x[ B[i] ]. If type[i] is 'G', the greatest common divisor of these two integers must be C[i]. If type[i] is 'L', the least common multiple of these two integers must be C[i].

Return "Solution exists" (quotes for clarity) if there is at least one way to choose x[0] through x[n-1] so that all requirements are satisfied. Otherwise, return "Solution does not exist".

Definition

Class:: GCDLCM
Method:: possible
Parameters:: int, String, int[], int[], int[]
Returns:: String
Method signature:: String possible(int n, String type, int[] A, int[] B, int[] C)
(be sure your method is public)

Constraints

n will be between 1 and 200, inclusive.
A will contain between 1 and 200 elements, inclusive.
A and B will contain the same number of elements.
A and C will contain the same number of elements.
The number of elements in A will be the same as the number of characters in type
Each character in type will be 'G' or 'L'.
Each element in A will be between 0 and n-1, inclusive.
Each element in B will be between 0 and n-1, inclusive.
For each i, A[i] and B[i] will be different.
Each element in C will be between 1 and 1,000,000,000, inclusive.

Examples

4

"GLGLGLGL"

{0,0,1,1,2,2,3,3}

{1,1,2,2,3,3,0,0}

{6,12,6,12,6,12,6,12}

Returns: "Solution exists"

We have 4 unknown integers: x[0], x[1], x[2], and x[3]. The given A, B, C, and type encode the following information: The GCD of x[0] and x[1] must be 6 and their LCM must be 12. The GCD of x[1] and x[2] must be 6 and their LCM must be 12. The GCD of x[2] and x[3] must be 6 and their LCM must be 12. The GCD of x[3] and x[0] must be 6 and their LCM must be 12. There are two valid solutions. In one of them, x[0] = x[2] = 6 and x[1] = x[3] = 12.
5

"GLGLGLGLGL"

{0,0,1,1,2,2,3,3,4,4}

{1,1,2,2,3,3,4,4,0,0}

{6,12,6,12,6,12,6,12,6,12}

Returns: "Solution does not exist"

This time we have no solution.
11

"GGGGGGGGGG"

{0,0,0,0,0,0,0,0,0,0}

{1,2,3,4,5,6,7,8,9,10}

{2,3,5,7,11,13,17,19,23,29}

Returns: "Solution exists"

One possible solution is: {6469693230,2,3,5,7,11,13,17,19,23,29}. Note that the numbers in our solution can be very large.
12

"GLLGGGLGLLGL"

{0,1,2,3,4,5,6,7,8,9,10,11}

{1,2,3,4,5,6,7,8,9,10,11,0}

{1000000000,1000000000,1000000000,1000000000,1000000000,1000000000,1000000000,1000000000,1000000000,1000000000,1000000000,1000000000}

Returns: "Solution exists"

One possible solution: each x[i] is equal to 1000000000.
12

"GLLGGGLGLLGL"

{0,1,2,3,4,5,6,7,8,9,10,11}

{1,2,3,4,5,6,7,8,9,10,11,0}

{1000000000,1000000000,1000000000,1000000000,1000000000,1000000000,1000000000,1000000000,1000000000,1000000000,1000000000,999999999}

Returns: "Solution does not exist"
200

"G"

{11}

{20}

{19911120}

Returns: "Solution exists"
200

"LGLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLGLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLGLLLLLLGLLLLLLLLLLLLLLLLLLLLLLLGLLLLLLLGLGLLLLLLLLLLLLLLGLLLLLLLLLLLLLLLLLLLLLLLLLLLGLLLLLL"

{198,86,141,183,101,22,102,83,22,149,68,126,180,103,184,36,162,131,44,136,55,69,189,146,90,88,36,54,78,111,28,79,119,4,121,59,142,186,168,136,186,184,65,87,48,22,132,46,108,4,44,140,64,168,93,120,157,136,68,130,96,96,31,189,40,53,106,52,101,178,12,28,91,178,98,179,111,143,43,151,25,122,68,88,147,179,68,113,145,107,27,100,163,15,63,85,55,14,183,10,50,46,108,1,192,92,173,193,10,114,179,21,1,125,52,165,48,55,115,110,55,105,152,5,5,164,197,31,53,57,41,12,141,175,112,109,107,37,99,186,194,16,20,9,156,78,133,43,24,114,42,136,181,19,84,149,191,112,152,35,147,38,95,99,30,20,160,49,171,128,55,26,79,163,40,138,0,41,193,13,126,41,187,12,47,170,102,6,65,81,115,35,115,179,73,172,110,26,144,107}

{177,98,173,120,2,172,161,197,92,23,146,33,8,93,103,120,38,138,163,128,25,4,45,103,18,119,77,33,97,91,1,133,89,159,112,106,178,122,197,108,12,16,104,107,106,170,192,142,124,57,181,116,89,117,149,139,12,137,164,13,46,90,89,24,172,88,29,37,153,195,118,100,46,98,69,181,159,121,5,178,74,193,156,77,115,117,166,164,19,105,87,20,66,158,104,69,177,148,101,170,37,191,117,156,32,134,60,47,57,16,93,118,86,25,186,115,103,59,80,178,6,128,198,135,182,111,6,20,18,5,111,80,191,159,105,189,3,101,194,177,166,153,128,143,88,40,103,143,5,161,164,108,7,180,18,125,34,125,76,30,37,66,108,24,118,177,179,14,54,147,79,117,168,95,164,181,69,58,183,90,81,40,95,127,90,89,115,111,35,194,142,134,99,147,45,100,25,167,194,182}

{536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912,536870912}

Returns: "Solution exists"
79

"GGGGLGGGGLGGGGGLGLGGGGGGLGGGGGGGGLLLGLGGGGGGGGGGGGGLLLGGGLGGLLGGLGGLGLGGLGGGGLGLLLGGGGGGGGLGGLGGLLGGLGGGGGGGGGGLLG"

{2,34,11,22,36,65,73,70,14,51,12,16,54,71,73,27,72,36,69,36,55,44,62,53,28,1,76,40,19,48,74,2,38,10,72,12,20,45,61,22,48,2,38,57,78,17,15,25,3,45,5,36,37,21,54,33,6,13,77,34,24,9,55,1,62,33,23,24,26,10,71,26,11,12,4,4,27,58,22,34,69,47,30,43,57,24,6,44,13,0,73,77,72,36,51,9,30,54,69,78,22,28,62,18,10,67,64,47,9,35,39,71,7,37}

{11,59,26,24,28,16,8,73,3,66,14,51,0,50,12,25,24,3,2,61,7,27,24,15,17,56,40,24,10,69,23,57,65,37,55,49,41,58,2,5,74,21,50,72,2,46,36,78,74,75,65,59,27,59,11,52,32,68,55,2,18,55,43,57,46,5,7,26,45,39,5,22,25,10,51,42,78,28,58,6,51,1,37,18,34,43,0,12,5,37,75,9,23,25,67,77,71,14,36,68,15,15,26,71,52,17,25,4,33,15,53,26,25,30}

{1,1,3,1,31651074,4,1,1,1,23012220,1,1,1,1,1,24438920,1,298606014,1,6,1,1,1,1,558275822,1,1,1,1,3,2,1,1,252830085,443642591,14745614,1,338712696,1,1,2,1,1,1,1,2,1,1,2,1,1,65779938,755542920,43841080,3,2,1,15631153,1,1,87357331,357704327,1,1,62370742,1,2,105006420,1,11423670,1,5,659055,1,1,1,8,327563496,1,134459985,12952065,361897088,1,1,1,1,1,1,1,1,34325223,1,1,89308170,1,1,431600985,813085875,3,1,27907085,1,2,1,1,1,1,1,1,1,1,20755260,80263780,1}

Returns: "Solution exists"
91

"LLGGGGGGLGLGGGGLGLLGGGGGGLLG"

{16,75,77,24,78,31,72,65,80,33,4,42,39,63,79,48,84,23,46,82,89,65,73,22,69,82,25,88}

{65,5,88,35,38,69,70,46,68,16,58,56,71,9,85,58,51,55,85,0,67,17,32,8,61,44,33,0}

{139862706,31452204,1,2,30,1,1,2,28949502,1,2719040,1,1,1,1,79260480,2,164419048,47282680,2,1,1,1,1,1,614448010,85954830,4}

Returns: "Solution exists"
183

"GLGGLG"

{54,138,172,57,33,174}

{35,85,21,117,61,149}

{10,9763606,1,1,25547744,1}

Returns: "Solution exists"
111

"LGGLLLLLLLLLLLLLLGGLLGLLLLLLLGLLLLLLLL"

{49,68,54,73,66,48,106,20,56,109,51,5,17,48,68,43,70,56,88,15,34,96,59,103,66,87,20,37,40,41,61,105,11,5,60,41,29,76}

{51,31,50,93,42,102,18,84,17,0,1,89,57,76,88,75,37,104,12,69,87,5,70,32,96,29,76,53,105,33,70,69,77,106,97,27,98,40}

{54492170,1,3,776976501,27897990,416601005,24334716,40695720,74180561,5653180,57719030,51740868,62728965,158389326,91639744,209256390,7014114,1,1,190098597,536056,1,37811718,553520790,400026755,416080872,29966040,69382413,14413490,3,283332582,33164170,167999850,192833844,203784924,121495941,158643756,129721410}

Returns: "Solution exists"
199

"LLGLLLLLLLLLLLGLLLLLGLLLLGLLLLLLLGLLLLLLLLLLLLGLLGGLLLLLLLLGGGGLLLLLLLLLLLLLLLLLLLGLLLLLLLGLLLGLLL"

{181,196,143,185,63,113,189,163,83,93,126,34,93,66,187,30,140,53,19,85,59,53,177,177,189,51,55,99,62,191,198,168,180,10,176,176,86,170,148,95,95,6,23,48,198,165,196,92,41,185,196,35,8,186,13,162,21,13,178,85,117,74,175,197,157,5,22,61,155,3,167,18,77,54,21,131,179,117,82,34,188,76,160,106,61,177,98,44,161,122,25,156,190,119,20,72,118,126}

{167,198,121,12,168,74,105,196,123,89,72,100,70,117,117,52,180,165,161,135,146,198,144,156,100,191,148,39,123,104,97,149,93,128,132,20,64,163,33,116,118,147,142,82,104,122,161,191,111,188,39,96,111,16,96,92,37,136,75,54,138,96,30,191,79,38,23,56,38,97,11,178,182,10,128,197,89,35,47,142,68,4,74,96,181,60,127,67,186,27,195,77,163,177,23,166,146,145}

{18476552,35633370,1,4181538,1185954,158212248,411897794,5924874,327004680,33141344,197769045,274650436,368702320,276332469,1,9969512,64934340,663429602,5250960,102008676,25,148267790,41521004,21054432,20101004,1,399871127,78220305,2338813,226805540,147817110,4410021,76077104,11,7013774,100583568,303417853,4238814,539662383,76439373,438343062,36708030,18540192,388370488,10098790,81910458,2,107023448,10559034,1,3,10371130,88184863,73350614,81235,55753768,51173144,2862215,5888594,2,1,1,1,334361708,301129647,395751785,2176680,28239948,408923476,742326060,143848152,293660029,3159860,301065674,214549698,725889778,26986912,722773478,116659464,201092448,9429508,50730552,3,1433355,34204308,264328988,117253680,611030196,263432,8939952,1,136318368,12479802,50438388,2328,21249540,15504850,145409576}

Returns: "Solution does not exist"
87

"GGGGGLLGGGLGGGLGGGGGGLGLLLLGLGGGGGGGGLGGLLGGLGGGGGGGLGGGGGGLLGGGGLGGGLGGLGGGLGGGG"

{17,78,16,64,61,68,18,19,84,59,38,45,3,64,13,0,17,71,43,73,14,17,75,38,15,42,19,85,45,43,41,18,8,57,83,72,74,28,35,38,73,52,58,43,68,49,2,57,65,15,24,58,51,27,55,59,75,36,22,48,71,40,41,9,31,85,10,7,6,83,82,0,68,0,82,54,33,13,7,77,65}

{3,42,46,14,41,48,0,62,25,58,45,51,1,10,47,73,44,85,8,37,86,11,73,26,16,34,64,23,37,57,42,26,34,47,81,77,11,48,33,28,7,64,28,9,71,27,3,11,11,72,54,85,86,74,85,46,31,59,66,37,84,7,19,28,66,72,34,3,38,17,20,35,61,43,48,15,43,82,18,81,32}

{152,1,1,2,5,317394948,105651039,1,5,1,387907254,1,8,1,4682310,1,4,1,1,2,2,76413288,1,746032406,253912208,2847100,147120562,3,32792886,1,5,1,1,1,1,1,2,74694280,1,2,168140070,324969726,1,1,16933956,1,1,2,3,1,1,1,8888630,1,79,43,1,1,2,435846698,70394580,1,1,8,1,137525649,1,1,2,121990184,4,1,104598780,1,1,1,129138243,2,1,2,339}

Returns: "Solution exists"
119

"GGGLGGGLGGLGGLGGGLGLLGGLGLGGLLLLGLGGGLLLLLGLGGGLGLLGGGLGLLGGLLLLLGGGGGLGLGGGGLGLGLGGGLLGLGGGLGGLGLGLGGLGGGGLGLLLGGGLGLLGGLLGLGLGLLGLLLGGLGLGLGGGLLGGGGGGGGLLGLLGGG"

{55,46,5,15,27,35,91,104,97,3,7,104,109,38,88,36,91,114,48,48,102,92,105,27,18,56,113,112,48,68,5,43,58,42,55,89,58,29,62,27,78,88,68,118,88,80,61,78,54,88,113,40,39,21,48,7,99,0,31,39,9,77,116,73,57,15,61,48,71,46,81,102,42,28,0,96,74,59,2,91,11,8,38,84,47,7,30,36,8,104,21,4,72,29,5,73,40,81,80,107,28,113,118,35,85,97,64,60,85,116,31,70,109,11,86,38,83,76,11,32,71,2,53,17,11,33,2,38,107,100,53,106,71,43,61,75,23,93,105,30,25,92,109,3,67,3,114,64,59,108,45,112,9,61,19,70,84,113,111,54,80,68}

{8,59,9,20,16,116,16,55,53,112,84,69,90,97,48,20,22,57,92,4,24,104,12,51,80,0,19,94,63,51,77,92,59,116,35,58,56,63,53,114,90,52,49,113,73,3,106,55,84,104,57,9,36,61,92,77,62,47,44,51,34,4,51,35,18,113,59,12,6,3,71,65,73,18,60,50,37,13,93,60,23,78,109,50,106,11,69,38,99,54,44,19,39,47,32,108,47,83,70,105,101,112,73,19,107,13,110,76,118,58,23,26,1,97,0,90,80,91,57,36,16,33,84,5,5,0,87,54,115,111,31,27,76,44,95,106,94,81,88,7,109,53,106,108,66,77,73,94,29,36,106,114,53,115,61,108,66,62,105,106,2,94}

{4,2,2,752523091,1,1,1,13097240,1,1,22374028,1,1,504316943,1,1,1,846777888,1,9863840,529697590,1,1,26795834,2,191775810,1,2,567840,178175062,33546084,329714915,6,647661617,1,12,3,82347447,163013946,62338201,157456938,2864274,2,7134101,1,1,1,49544520,1,64058748,629744544,2,1,1,15174880,1,121545366,193808410,1,1,32616166,77624898,340992626,786895405,311379552,1,1,20,1,1,302502297,5,640242035,1,1,7,1,186551496,1,114273247,2,95804628,1,41,1,11120904,710550885,1,183410412,4,6,2,184326231,1,2,656929995,5,348361165,2,496472685,1,1,8528815,1,3,1,1,77860233,1,667668156,272988458,1964430,2,1,1,336416133,1,216340479,7327584,2,1,38550088,221711354,3,35213112,1,23994872,1,118892010,278214076,1,6700008,92793663,58696020,1,1,250445270,1,128295969,1,269793036,1,4,1,14918253,1925859,1,19,1,1,1,1,2,1,13338600,18161670,1,302282682,698569046,8,8,2}

Returns: "Solution exists"
132

"LGGGGLGGGGLGGGGGGGGGGGGLGGGLGLGGGGGGLGGGGGGGGGLGGGGGLGGGGLGGGGLGGGLGGGLGGGGGGGLGLLGLGGGGGGLGGGGLGGGGLGGLGGLGLLGGGGGGLGGGGGGLG"

{40,27,107,37,52,13,18,74,55,62,14,76,103,82,63,47,126,78,25,32,93,68,113,25,72,107,25,32,43,47,5,6,5,122,122,110,15,7,103,6,23,123,21,71,117,109,3,55,30,96,70,34,100,44,77,18,129,102,17,97,24,0,116,23,88,49,35,28,67,20,81,118,103,54,8,39,42,21,22,90,8,127,5,10,40,24,11,15,47,107,5,49,120,42,61,22,95,49,86,84,1,27,40,58,72,40,20,34,84,62,56,23,61,89,130,40,62,14,22,41,109,66,42,81,48}

{119,49,8,14,95,26,102,81,60,107,65,13,27,99,124,56,114,48,68,126,110,79,57,36,35,23,113,36,38,31,3,129,78,27,110,72,21,104,21,131,87,19,10,89,119,49,78,11,125,41,31,14,9,113,62,61,102,37,2,53,130,116,129,6,0,57,88,92,105,49,9,119,52,82,49,82,36,116,79,70,16,33,4,105,114,127,82,21,119,41,54,36,106,98,86,113,74,30,12,20,37,57,57,9,98,94,116,109,110,123,77,81,11,90,5,116,41,84,87,3,21,91,37,88,15}

{27206888,1,7,1,3,341500278,51,4,1,1,243184071,2,1,1,1,1,2,4,1,1,1,1,5,10307880,1,1,1,160144920,1,211061356,1,1,6,1,3,1,1035120,1,1,1,3,1,1,12,1,1,70820388,1,1,1,4,1,8027800,1,1,2,15,52141125,54,1,1,8,19999920,1,1,1,4191187,1,6,1,3435400,8,1,7,7,1,3,4,12210800,4,210254072,456704656,2,54243138,2,1,1,4,1,2,10343298,1,2,1,1,9929850,3,61,1,1,21813393,1,1,56728600,5,4,34524912,1,6769812,329526441,1,1,1,4,1,4,63481752,1,5,1,1,7,1,22626548,4}

Returns: "Solution exists"
141

"LLGGLLLLGGLLGLLLLLLLGLLGLLGGGLGLLLLLGGGLLLLLLLLGGLLGLGLLGGLLLLGGLLGLLGLGGLGLGLGLLGLGLLLLLGLLLLLLLLGLLLLGLL"

{94,112,20,131,33,112,44,100,119,2,65,60,131,71,53,20,68,103,119,44,113,125,62,54,64,28,122,119,85,127,129,71,116,122,84,69,48,47,116,7,34,129,133,77,26,50,122,74,137,122,102,107,63,104,29,64,138,36,75,95,106,77,14,128,93,124,128,27,45,63,76,75,27,140,17,50,6,127,83,75,85,124,140,33,122,77,77,54,117,100,31,32,54,47,50,24,65,5,41,88,41,82,96,136,99,19}

{128,48,127,124,42,2,9,17,60,3,6,61,51,101,46,102,116,105,120,90,42,135,6,80,8,95,14,38,48,109,111,66,98,117,85,17,23,54,35,24,115,64,95,29,54,72,70,96,71,84,78,50,42,98,61,50,26,0,82,13,39,39,82,19,97,26,47,23,138,30,9,24,66,0,124,10,37,53,92,130,19,119,0,45,71,11,126,67,56,101,139,40,53,34,84,25,127,126,132,41,15,62,71,118,91,74}

{110564804,11785200,2,1,267865158,70009700,256117160,414892826,1,1,186137471,11966540,1,255483303,172744960,1770828,3270670,616854749,492939006,45555640,2,357240755,431140944,1,724574032,251087688,2,1,2,133695272,3,250802212,18701755,248918712,184434222,51414662,7,1,1,23649376,348904325,50341776,145060632,137246025,580580319,180356820,712196296,1,1,96386808,68611908,3,74863410,1,222496789,487467120,1,1,1243755,111049704,30453556,297235050,1,1,331430616,747546679,1,106929599,28439733,1,267874074,1,1,689244850,1,59354610,1,50658560,6,31123845,150040446,1,689244850,1,318096968,7521150,4179525,310172748,154044375,1,2643234,264136061,531075840,199561901,20618115,139624992,144693512,127399883,1,369307005,35204358,1669296,298210477,1,1015290,279353346}

Returns: "Solution exists"
40

"GGLGGG"

{1,27,34,7,36,16}

{17,10,24,11,16,9}

{59,1,46972959,1,1,1}

Returns: "Solution exists"
122

"LLLLGGGLLGLLLLLLLLLLLLLGLLLGLGGLLLLLLLLLLLLLLLLGLLGGGGGGLGLLLLLLLLLLLLGLLLLLGLLGGLLGGGGLGGGLLLGLLGGGGGLLLLLGGLLGLGLGLLLLLGGLGLLGGLGGLGLLLLLLLLLLLLGGGLGGGLLLLLLLLGLLLLLLL"

{66,3,2,53,116,92,91,65,50,32,29,80,65,4,98,41,80,91,96,61,90,87,110,1,73,28,22,66,16,61,66,21,18,65,54,20,58,39,70,6,22,51,18,9,14,13,27,91,118,30,116,11,71,104,97,93,112,101,38,112,60,53,53,22,2,84,78,56,34,114,104,84,119,33,65,84,102,96,90,57,34,93,100,41,89,35,116,51,56,85,106,29,49,104,30,62,84,116,12,68,111,13,65,101,31,26,2,45,111,106,53,107,102,25,49,16,89,27,35,113,94,34,17,107,38,28,52,61,108,43,72,3,121,114,15,55,106,113,39,41,7,36,109,104,12,63,57,55,104,10,88,18,20,76,117,95,8,15,32,50,98,17,80,53,1,25,45,62,121}

{16,66,69,89,51,106,41,101,66,98,107,51,14,91,12,37,73,44,18,79,25,70,17,2,89,57,112,99,79,10,40,115,71,17,80,112,30,114,59,52,54,15,16,98,93,53,38,96,14,75,44,79,80,66,105,97,74,52,58,58,29,24,108,62,113,56,4,76,65,30,63,107,67,100,63,93,98,85,15,74,69,111,30,119,75,118,41,52,114,82,29,38,41,31,72,115,46,12,22,4,23,16,7,86,99,19,41,110,81,38,60,34,90,81,3,121,41,94,46,0,9,21,57,119,50,6,105,117,10,21,27,18,113,112,111,97,13,98,74,69,75,32,46,2,86,14,106,58,59,8,82,27,43,92,114,55,121,81,2,95,53,75,93,106,121,62,8,54,70}

{193923639,1422603,32287554,2394089,1,1,1,242888877,1864863,2,29127528,82540146,193056369,235109322,78605958,55129827,3448689,23650776,85688130,444849489,134656588,213351972,59644914,1,2740197,3491922,28178213,7,416392543,1,7,56727552,111584880,324268098,2596033,48596414,11001000,14372550,280514274,61350273,5086697,46913334,633783810,89193086,36568576,8820807,144065201,1,144573138,432430500,1,17,1,3,1,1,32604140,1,33040056,8749848,241045650,11751973,109554605,34786444,12863390,575399760,239555834,385658736,33330693,47908500,15,145709720,35628356,9958340,3419295,113850880,2,33272178,149489196,1,3,50175488,24424500,1,1,1,1,281013798,3,1,6,57648906,123693241,193836900,60,8357888,20235215,1,1,2,2,1,118932,474308478,293729954,8006480,149669326,2,1,45109092,271496975,1,64765984,1,18458713,1,4421819,362940090,210094885,34763810,138674490,3,7,21112232,7,336114,542406913,1,1,56145873,1,1,8430130,1,231295458,49130293,120156,16701310,14757300,121961502,182076,16930254,2134132,70770900,131626554,2240085,3,1,1,7450276,2,1,1,644525930,299226405,47466998,35394878,485982678,6756618,95269174,105212474,1,42876416,57567372,20903222,2478916,104206792,72292,79931634}

Returns: "Solution exists"
146

"LLLLLLLLLGGGGLLGGLLLGGGGGGGGGGLLLLGLLLGLGLGGLGGGGGLGGGLGGGLLGGGGLGGGLGLLLG"

{139,63,14,40,85,121,36,98,42,73,122,125,39,58,28,26,70,27,104,86,17,72,61,85,121,107,0,85,128,21,128,52,3,0,4,7,90,4,113,16,119,80,109,128,9,104,127,129,10,90,131,33,112,109,11,29,58,36,47,11,133,54,24,77,59,19,42,56,136,113,143,99,121,70}

{68,50,140,9,14,11,24,31,59,139,69,43,95,69,74,124,2,103,123,29,78,124,39,41,7,21,2,45,47,12,86,14,40,81,97,92,11,85,10,77,102,33,78,13,98,129,95,99,41,8,12,112,85,96,38,112,69,52,85,142,14,88,31,55,122,103,43,12,106,17,73,107,34,5}

{14639476, 147695434, 50877740, 519808124, 154501020, 763435, 11457726, 12571806, 69760196, 2, 3, 2, 1, 12291321, 417489234, 1, 2, 1, 131876360, 6724521, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1902, 390540, 302479804, 2193642, 4, 95473836, 74048930, 52301052, 1, 7022024, 1, 60593754, 1, 2, 279603012, 2, 1, 2, 1, 1, 544156106, 1, 3, 262052409, 48339510, 3, 1, 138, 600888861, 499005, 1, 2, 1, 1, 105740844, 3, 1, 2, 265569466, 1, 54386892, 2308320, 4775541, 1}

Returns: "Solution does not exist"
173

"LGLGLGLLGLGLLLLGGGLLLLGGLLLGLLGLGGLGLGLLGLGGGLLLGLLGLGGLLLGLGGLLGGGGLLGLLLLLGLLGGLLGGLLLLLLGGLGLLLGGGLLLGLGGLGLGLGLLLGGLLGLGGGLLGGGGLLGLGLGLGGLLGGLLLGLLGLGGLLLGGLLLGGLLGGLGGL"

{158,46,133,163,18,65,82,163,49,106,12,83,14,146,23,162,50,137,17,169,31,137,40,81,63,138,49,100,66,48,10,8,89,22,111,43,11,130,92,134,6,14,139,110,156,47,162,126,142,71,74,0,17,0,131,118,21,12,18,9,6,46,33,165,169,104,84,167,93,73,151,54,162,129,92,78,46,131,11,140,102,128,126,39,159,14,87,155,23,143,84,101,57,89,160,30,138,12,166,62,116,166,132,89,102,144,126,138,75,160,111,164,6,47,141,93,113,154,12,77,117,9,158,112,136,12,109,80,133,0,156,143,87,167,117,115,58,8,88,33,159,81,40,162,143,58,123,83,90,62,108,129,10,163,129,98,69,29,137,78,53,112,22,31,145,67,141,46,131,37,21,71,134,161}

{30,63,89,99,25,56,92,19,151,151,162,158,0,107,117,116,69,2,126,112,95,51,27,64,44,13,107,21,102,4,143,28,50,111,50,45,114,138,77,140,102,122,89,59,41,107,69,73,163,87,85,148,53,160,62,147,94,111,163,8,19,41,72,142,18,79,151,51,57,14,45,70,122,5,164,23,107,139,122,107,60,85,106,20,169,51,100,112,113,167,152,113,76,170,52,128,40,16,105,58,141,68,102,139,116,112,171,3,145,137,84,148,73,71,146,141,125,54,116,126,76,77,74,163,117,5,107,157,124,100,42,23,22,168,81,168,17,18,84,28,9,22,94,108,72,140,19,137,95,110,163,135,70,2,76,91,124,167,41,10,104,59,11,113,58,140,169,98,70,92,126,167,53,8}

{142419215,2,10200204,2,27627304,1,41688214,34885598,1,611627562,8,37893440,659038950,38508788,12946010,4,1,1,157396137,28741356,54733238,271130,1,10,82349716,470322120,83216150,1,100534920,407030921,3,21932900,1,28,215673836,1,103124996,1,13836220,151989915,2,25086150,1,9,1,154505632,59969832,225882311,1,5576436,38890305,1,32516163,1,4,39755353,57957471,30188760,1,57407050,2,4,380328047,76486665,1,2,117,1,322233830,269956150,1,1244320,24275304,63022883,77514518,320047882,2,33188980,43140474,1,15,408094894,626075231,2,1,494950,55477860,653107732,4406468,340868808,262684890,2,1,1489761,1,214105690,231141288,37758360,2,1,4,16602950,8515920,5504940,4,5447708,1,2,133955250,1,285120108,2,301210958,4,36773568,187462080,68444652,2,4,57108140,1466710,2,11887245,2,5,1,313986590,452859930,1,1,1,2,9546180,275461442,5,102813518,1,30701350,1,126361444,1,20,63881818,470608152,1,1,57140986,5936320,51484580,1,258341622,234640942,1,82765078,1,1,41696733,39925110,18003032,1,9,53376804,373167340,26839396,1,1,2673216,14403620,44,1,519662277,1,1,60884600}

Returns: "Solution exists"
20

"LGGGGGGGGGGGGGLGGLGGGGGGLGGLGGGLGGGLGGGGGLGGGGGGLGLGLGGLGLGGGGGGLGLGGGGGGGGGLGGGGGGGGGGGGLGGGGGGGGGGGLGLGGGGGGGGGGLGGGGLLGGLLGLGGGGGGLLGGGGGGGGGGGLGGGGGGGGLGGGGGGGGGLLGG"

{10,6,8,18,5,10,5,15,9,2,16,9,13,4,13,9,9,12,13,7,10,0,9,1,10,7,7,7,13,3,7,3,10,18,1,17,8,17,16,14,12,3,5,13,6,8,6,13,10,15,5,8,6,17,5,15,1,3,6,12,14,4,15,3,2,11,11,9,4,13,9,12,19,8,19,2,18,17,14,4,8,6,0,5,5,17,12,9,6,16,13,0,8,1,12,10,14,9,4,14,7,12,8,9,13,12,7,6,8,16,7,16,18,14,11,16,18,15,14,12,14,11,11,19,12,2,10,1,5,10,19,4,3,11,5,2,9,6,5,19,11,1,10,19,16,14,11,8,1,19,1,12,13,0,6,10,13,1,7,15,5,11,4,17,3,5,6,19,4}

{16,4,19,14,14,16,9,4,2,13,5,8,18,7,9,17,15,17,2,5,8,14,14,16,1,18,13,4,18,10,2,2,3,4,12,13,0,10,13,1,1,13,14,11,10,1,3,12,0,4,16,19,9,4,12,7,0,16,14,13,19,2,6,18,11,7,14,10,6,17,17,1,13,16,10,1,16,7,2,9,2,10,12,13,14,1,14,12,9,14,14,7,2,4,2,14,5,8,3,1,1,5,11,13,11,18,5,16,5,3,8,2,5,17,2,2,17,18,2,17,15,5,18,2,1,10,1,5,16,3,10,18,19,14,2,10,5,0,12,8,0,16,16,12,14,8,17,9,3,18,0,3,12,15,17,18,8,2,10,16,12,2,1,9,1,8,16,4,9}

{57486264,1,1,1,1,4,1,1,2,1,1,1,1,3,126892250,1,2,18416077,1,1,1,5,2,4,99528140,1,1,46559646,1,4,42,19176696,4,1,1,10247375,1,1,1,10,1,84169000,1,1,4,1,8,1,477246460,1,316742712,1,194127760,1,1,96124686,5,12480072,10,1,1,9,2,1,171858456,1,260081610,2,1,1,1,1,1,1,1,4,22416504,1,6,1,1,4,1,1,1,1,1,1,2,45406680,5,1,1,1,1,2,1,1,1,10,2,479883937,1,126892250,1,1,1,8,1,8,163,264,1,1,171858456,264,1,19,6,18416077,353411970,1,1,35642376,307317260,4,99528140,1,1,4,1,1,1,260081610,486702216,4,1,5,1,1,1,4,4,1,6,1,11603959,1,4,1,5,1,1,1,1,483959564,1,4,2,2,1,1,1,1,4,290962009,37775760,1,1}

Returns: "Solution exists"
129

"GGGGGGLGGGGLGGGGLGLGGGGGGGLGGLLGGGGGGGLGGLGLLGGGGLLGGGLLGGGLLGLGGGLGLGLLGGGLLGGGGGGGLLGGGGLLGGGGGGGLGGG"

{71,25,76,77,3,10,2,42,16,124,66,36,118,43,48,100,93,83,44,120,8,98,76,38,33,81,63,16,109,125,0,58,13,50,65,26,21,65,114,125,113,80,97,7,90,91,66,43,18,116,7,61,108,52,20,14,93,29,123,55,60,33,97,127,96,43,89,121,43,116,29,83,75,78,12,105,56,100,99,33,56,113,4,17,112,113,82,121,77,122,96,42,75,5,122,79,87,112,113,30,116,10,124}

{104,53,63,44,119,16,98,38,42,49,43,7,59,7,29,67,4,19,121,112,30,121,7,6,39,118,11,11,73,17,79,9,120,20,0,40,125,112,39,121,76,79,5,46,54,93,19,69,122,6,4,2,55,79,124,33,90,87,62,48,115,91,59,106,28,48,44,2,86,2,122,97,2,95,98,123,108,92,107,105,120,93,45,28,111,42,117,114,7,23,59,51,38,60,43,105,65,8,118,84,57,66,56}

{4,1,1,1,1,1,44141688,1,1,1,18,9012432,1,2,1,10,4061725,1,4609290,1,1,2,1,1,2,1,80160850,1,7,749577831,209698074,1,1,1,1,33,1,2,19153290,1,1,59319790,2,3842384,478408982,5,1,6,1,230082270,25842128,1,1,1,27697465,26989352,1,36,1,281842260,350869090,2,7851618,1,1,1,15014244,2,117967086,2,98656452,333126,1,2,3,32307606,164860752,3,5,2,1,1,1,1,852589630,6112680,1,1,8,1,310617325,4678845,1,1,3,2,2,1,1,40152210,6,1,1}

Returns: "Solution exists"
136

"LLGLGLLLGLLGGLLGLGLGGLLGLGLLGLLLLLLLLGGGLGLLLLLGGLGGLGLLGGGGL"

{131,22,96,37,4,63,128,87,75,113,74,14,62,13,37,81,69,126,86,55,51,18,29,123,114,28,111,102,98,63,101,70,108,117,22,23,18,48,65,41,9,7,62,42,90,53,94,4,54,118,39,97,129,35,37,37,24,119,134,116,38}

{80,68,28,124,108,13,3,107,69,110,62,59,130,110,95,60,37,78,30,32,5,110,85,8,9,78,42,134,91,60,124,35,59,49,73,10,5,34,55,108,92,60,33,30,128,31,20,8,22,14,97,7,94,126,60,86,74,134,14,57,92}

{10974000,2225166,1,4951098,1,4402125,26783020,399895131,4,41614094,156920354,1,1,86628875,17289786,34,20106876,1,447894357,2,1,221125240,192857301,1,50027987,1,464487,107562702,1,506101050,99665424,414323078,73368712,392721378,10018356,7394235,15242920,1,2,1,287599844,1,175814296,8759769,2487820,426593112,183812216,1,1,38969606,3,1,280811240,1,20540658,9092802,1,2,26,1,65183020}

Returns: "Solution exists"
63

"GLGLLGLLLGGGGGGGGLGLGGGLLLGGLLGLLGLL"

{17,61,15,55,13,39,23,45,28,44,5,21,33,31,5,9,37,27,41,11,58,11,14,46,26,37,61,55,6,29,60,1,21,45,60,0}

{5,36,25,52,37,31,54,36,36,1,43,43,6,12,41,55,3,13,18,0,39,61,52,16,40,13,50,45,0,5,58,38,36,43,20,54}

{16,50119530,3,12384212,41201901,1,5694424,48834750,243308490,3,1,1,2,5,16,1,1,8057673,5,14525468,1,1,1,1641658,340917306,41201901,5,1,12461252,444765168,2,475823988,241315770,1,2829410,584191}

Returns: "Solution exists"
34

"GGLGGGGLGGGGGGGGGGGLGGGGGGLGGGGGGLGGGGGGGGGGGGGGGGGGGLGGLGGGGGGLGGGGGGGLGGGLGGGGGGGGGGGGGLGGLGGGGGGGGGLLGGGGGGGLGGGGGGGGGGGLGGGG"

{28,33,5,29,8,21,0,2,15,13,2,7,6,17,7,6,28,1,31,0,28,2,1,2,25,9,20,3,10,17,17,20,8,12,21,16,3,21,26,26,11,18,9,5,21,9,10,31,6,27,14,31,19,28,13,18,17,13,33,28,23,30,23,4,29,8,31,14,10,5,5,1,30,10,21,21,15,7,24,1,12,6,4,8,6,12,27,24,25,31,0,28,19,21,12,4,13,18,22,10,4,5,11,4,9,23,27,33,20,20,17,33,6,11,14,32,22,9,16,18,13,13,24,28,25,10,29,3}

{0,26,26,26,19,4,11,20,14,12,18,15,31,11,18,12,13,28,1,22,11,28,15,6,9,19,23,21,22,2,14,19,33,14,6,9,25,16,20,3,31,21,32,24,12,13,21,0,1,16,30,6,31,13,2,22,33,26,27,23,29,23,8,25,16,26,23,13,17,25,16,11,13,24,13,19,30,8,2,19,21,7,26,12,1,7,21,23,10,12,2,26,9,18,14,8,27,12,16,16,1,24,31,14,32,33,22,9,6,19,19,23,7,1,28,6,30,6,31,6,16,12,20,15,14,33,7,1}

{1,2,43562524,2,1,1,1,15410815,1,1,1,1,1,1,2,1,1,1,1,390565277,3,1,1,1,2,1,7303135,1,1,1,1,1,2,258437555,1,2,1,2,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,9060141,1,147505392,29374056,1,1,1,1,7,1,367937372,2,2,7,1,1,4,2,1,1,1,1,172593024,1,2,1,1,1,1,1,1,1,1,1,7,1,516116615,1,1,149433774,2,1,1,1,5,1,1,1,1,250234173,157275877,1,1,1,2,1,1,1,148431906,1,1,1,1,1,1,1,1,1,1,7,43619493,1,3,2,1}

Returns: "Solution does not exist"
142

"GGLGGGLGGLGGGGGLGGGLLGLLGGLGGGLGGLGLGLLGLLLGGGGGGGGGLGGLGLGLLGGGGGGGLLGGGGGGGGGGGGG"

{48,3,10,89,34,36,52,68,20,41,42,95,26,86,67,36,126,117,18,61,140,117,28,95,42,132,87,56,28,105,34,109,88,5,109,99,95,55,117,48,113,66,95,0,86,122,15,28,39,103,39,48,140,23,71,111,128,42,111,57,15,107,28,9,71,11,10,16,19,82,58,107,14,11,3,119,127,114,128,111,30,48,101}

{71,7,109,117,81,2,20,36,114,141,73,91,118,117,141,5,70,41,60,68,11,58,72,135,109,23,134,129,37,15,83,93,5,14,130,40,5,78,118,102,129,71,29,118,123,132,125,36,48,66,100,58,60,53,108,51,119,23,95,76,86,60,101,64,38,66,88,86,129,49,107,53,109,56,129,87,85,111,86,66,70,81,6}

{1,1,233586222,1,2,1,241159777,1,1,4995160,1,1,114350088,1,2,20122976,67,1,32,265697014,108078642,1,1101782,755763900,3,3,49357392,1,11,1,251255376,1,2,73793568,1,969146,1,9577134,355016441,1,573407694,1192501,27657525,1,10,1,3,1,1,1,1,1,10353600,1,1,60068484,1,34219038,3,98475810,673380510,16,2,2,1,1,2,2,4208004,1,1,1,3,1,1,16,1,18,1,1,3,1,2}

Returns: "Solution does not exist"
64

"LGLLGGGGGLLLLGGLLGLGGGGGLGLGGGGLGLLLGLGGLLLGGGLGLGLLGGLGGGGGLLLLLLLLLGGGGGGGGGLGLGGGLLLGGGGLLLLGGGGGGLLLGGGGGLLGLGGGGGLGGGGLLGGLGGGGGGGGGGGLGGGLLLL"

{8,48,24,14,27,40,25,22,23,61,30,50,49,50,5,12,33,59,32,41,21,25,63,33,18,58,61,27,45,17,13,13,43,50,5,51,52,48,42,14,63,58,62,32,57,52,7,37,55,19,33,20,29,59,6,23,15,28,28,7,24,11,63,44,24,29,15,51,50,9,61,49,54,63,18,24,12,4,63,55,34,16,43,55,23,42,58,19,40,2,26,24,25,15,20,30,39,42,16,6,46,43,40,53,22,3,49,16,3,27,31,1,40,28,58,56,57,23,30,9,7,48,52,3,48,41,17,6,15,20,42,25,60,49,15,4,26,51,63,44,5,19,56,32,56,21,7}

{49,61,9,8,0,15,29,25,58,34,1,33,50,31,11,13,40,27,55,2,13,62,5,40,54,50,19,54,30,16,55,63,33,7,32,61,55,13,46,28,46,10,15,9,43,2,27,60,35,3,51,3,21,16,22,17,10,12,4,6,16,42,22,63,51,19,30,32,62,25,60,33,49,28,1,22,3,58,8,3,26,59,17,31,9,60,31,39,9,27,21,38,59,36,14,3,30,60,58,11,13,11,0,63,59,46,16,32,49,29,57,60,43,24,9,26,29,51,14,53,35,17,6,11,22,35,29,49,17,30,36,63,23,61,12,41,33,60,16,4,44,61,20,48,52,31,33}

{173320152,1,214199730,748343704,1,1,1,1,3,9090471,29294042,20600375,151974750,5,1,154198944,170426690,1,73650855,1,1,1,1,1,3939312,1,657750002,1,1,2,1,130489888,1,72834875,96321081,396362187,3,136255008,1,1,202919888,753806526,2125428,1,1,3,125744531,1,23298090,7,114453135,56813610,1,1,36940075,1,1,1,1,1,314235090,6758340,44182300,303611082,36848655,291615394,2507046,245922669,232169500,1,2263,1,2,1,2,5,3,1,200312408,3,8384097,1,4,5,9476478,83803416,762893805,2,2,1,1,17107425,312215313,54723,447285270,491,2,1,1,1,16,2873280,42832370,161403012,1,1,2,1,3,546058238,322399165,2,78964032,1,3,1,1,9,611154574,3,1,1,1,15054060,11533575,1,2,536938076,1,2,3,1,1,1,3,1,1,1,2,137570459,1,1,1,138047439,581752671,733377345,51029465}

Returns: "Solution does not exist"
143

"GGGGGGGGGGG"

{131,41,123,32,80,87,100,20,4,50,92}

{20,47,2,76,118,102,111,61,53,115,89}

{1,1,7,2,1,1,19,1,1,2,2}

Returns: "Solution exists"
125

"GGGGGGGGGGGGGGGGLGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGLGLGGGGGGGGGGGGGGGGGGGGGGGGGGGGLGGGGLGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG"

{75,111,75,22,25,36,87,104,44,92,17,46,96,1,34,1,47,88,78,21,81,46,79,37,7,114,47,124,37,41,15,78,78,33,22,15,98,108,114,124,60,111,108,14,35,30,90,85,42,0,51,76,31,44,56,46,17,39,104,65,106,45,59,81,107,82,46,81,116,96,82,29,87,8,94,71,42,54,118,52,77,58,81,45,106,34,93,64,53,14,106,105,4,91,72,62,12,123,106,55,98,76,70,50,72,82,62,69,28,15,123,124,107,45,110,107,8,100,11,109,20,9,44,118,64,86,44,39,70,15,19,24,1,109,47,71,35}

{19,95,28,54,40,76,84,77,61,81,14,66,14,84,101,101,6,92,115,72,116,36,0,40,74,69,11,85,100,88,102,45,93,29,104,51,72,19,92,49,50,3,68,99,91,65,74,81,33,105,55,67,44,102,38,50,16,20,12,37,63,12,107,123,6,4,17,117,15,83,121,82,59,100,84,93,41,22,91,55,41,95,33,106,16,27,72,113,56,67,19,82,3,3,97,56,0,23,59,111,109,42,31,88,8,75,6,62,29,98,105,9,22,28,116,84,107,124,94,30,121,34,78,108,108,31,46,121,83,122,109,23,120,36,5,106,110}

{1,1,1,1,2,2,12,1,3,1,1,1,1,2,2,2,6537448,1,1,2,1,1,1,2,1,1,1,1,2,1,3,1,1,1,1,1,15,1,1,2,1,1,1,2,6,1,1,1,1,2,1,1,3,3,6,2,3,3,128532510,2,1607039,3,2,1,2,1,1,1,3,1,45,1,2,1,12,1,1,1,1,1,1,1,1,1,1,2,1,5,1,100788374,1,15,1,1,230782530,2,31,1,1,1,1,1,18,1,3,1,8,2,1,3,1,1,1,1,3,2,1,1,1,1,9,1,1,1,9,1,1,3,1,337,1,1,2,1,4,1,6}

Returns: "Solution does not exist"
73

"GGLLGGGGLGGGGGGGGGGGGGGGLGGGGGGGGGGGGGGGGGGLGGLLGGGGGGGGGGGGGLGGGGLGGGGGGGGGLGGGGGGGGLGGGLGGG"

{61,48,20,55,58,7,17,21,13,42,60,40,3,3,41,42,15,34,63,61,31,5,19,9,13,62,60,49,63,17,3,19,28,71,37,9,49,64,59,47,31,53,36,71,71,31,56,45,31,38,12,28,49,59,8,25,27,8,56,62,65,54,12,0,61,24,3,63,30,16,22,0,43,53,68,6,13,14,22,66,13,32,47,12,12,37,22,45,55,72,20,59,54}

{27,8,39,72,59,51,54,9,27,31,11,49,60,65,51,37,25,65,9,20,61,10,44,49,11,51,35,42,28,38,54,71,13,23,11,32,43,56,33,19,46,51,22,58,61,14,20,63,0,8,65,11,3,0,61,6,35,43,57,11,39,64,57,65,21,65,67,49,15,7,20,9,62,10,18,69,14,20,31,32,19,43,60,57,63,10,42,69,0,38,0,24,6}

{2,1,869814811,53169621,3,1,1,1,21538932,104,3,2,3,1,1,13,46,5,1,1,2,1,3,3,4907016,1,1,52,1,1,1,2,1,2,1,3,2,4,1,78,26,1,1,7673118,2,8,635237332,39833614,1,1,1,1,6,3,2,1,1,2,4,8,1,339911104,4,1,1,1,71886030,1,30,2,1,3,10,1,3,1,9596976,1,1,3,3,5,3,4,1,365041391,47,2,3,570455147,1,1,1}

Returns: "Solution exists"
145

"GGGLGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGLLGGLGGGGGGLGGGGGGGGGGGLLGGGLGGGGGLGGGGLGGGGLG"

{55,17,129,9,32,75,18,77,105,129,104,7,16,83,32,49,117,93,91,108,105,7,15,6,71,46,42,66,13,128,9,133,29,9,92,15,118,33,5,118,72,142,111,86,103,113,96,23,113,14,138,45,95,44,49,15,42,76,4,125,98,78,110,126,49,1,115,21,53,33,74,60,117,77,123,144,143,33,108,39,120,75}

{22,125,32,115,141,33,0,122,22,51,139,64,88,13,138,137,87,28,138,94,88,57,51,50,33,15,129,90,32,52,15,2,22,46,106,109,36,123,28,31,69,70,34,124,19,62,0,115,144,111,118,89,58,85,98,112,33,30,101,28,40,32,126,17,108,56,13,32,90,57,107,114,83,35,80,69,73,7,56,135,52,31}

{4,2,1,169374645,1,1,3,3,2,3,6,1,4,2,1,1,1,1,1,3,2,1,2,49,1,2,1,1,1,14,5,1,1,9,1,2,121470000,288708006,6,1,7465119,3,1,4,37,2,1,40642311,1,1,1,3,3,1,1,1,1,2,2,22337478,4347000,1,3,1,4644603,1,1,1,1,1,580620606,1,6,1,2,204742779,1,1,3,1,3751020,1}

Returns: "Solution exists"
102

"GGGGGGGLGGGLLGGGGLGLLGLGGLLLLGGLGGGGLGGLLGLGLLLLGGGGGLGGGLGGLGLLGLGGLGLGGGLGGGLGLGLGGLGGGGLGGLGGGLGGGLGGLGLGGGGGGGGGGGGLLGGGLGLLLGGLGLLGGGGGGGGGGLLGGLLGLGGGGL"

{62,78,73,33,88,8,100,18,26,44,32,85,42,22,37,10,47,73,52,65,23,70,83,49,65,100,11,10,0,6,23,24,35,88,65,2,64,14,62,60,4,95,29,87,41,50,91,61,9,56,8,15,9,38,23,0,31,41,83,16,22,33,90,0,30,16,31,31,72,68,59,47,31,79,17,7,18,66,94,1,36,25,39,80,93,51,10,2,94,78,36,63,78,68,34,5,64,17,4,17,42,91,70,39,50,79,10,23,29,55,81,2,17,11,6,89,80,94,77,60,75,14,79,55,55,33,14,59,75,45,89,64,87,8,3,99,38,57,51,81,68,46,92,47,53,89,32,4,34,53,72,58,79,64,51,72,52,98}

{89,52,2,43,30,41,94,16,40,81,2,42,8,7,84,83,98,14,59,72,95,69,47,89,33,22,95,5,24,65,73,95,2,9,87,87,35,30,9,49,74,44,96,42,13,43,36,27,87,37,13,63,62,56,88,60,55,52,76,24,1,32,1,82,34,73,88,92,3,15,52,91,91,56,68,49,65,39,77,25,58,16,62,92,45,27,92,13,92,85,82,27,86,12,79,96,49,41,54,8,62,96,0,6,81,11,0,62,16,11,74,38,90,85,48,43,24,23,79,28,51,82,29,75,96,53,65,55,101,20,2,31,63,19,52,29,69,1,23,7,79,21,87,4,78,14,62,26,21,41,34,20,33,73,52,47,60,25}

{10,2,3,1,1,1,1,1996275,1,1,9,32442752,9463217,1,1,1,1,731424,1,334630274,94431634,1,44557042,2,1,54317901,15627864,269839983,27348513,2,19,109155846,9,1,1,1,1038960,16,1,397948404,406396568,1,333205360,1,357893085,16308678,270541551,103775022,1,1,1,1,1,249838316,19,1,1,424181406,1,1,113263392,1,132081760,90196155,16,24571275,1,2,117210632,1,266138814,1,1,1,265442744,1,1,1,102974542,1,398134037,25,105918730,1,1,234103064,1,1,2,4,26507565,1,4,340130056,2,41,4,335842584,1,1,1,401615664,1,1,9648533,2,61988631,38,5,7,1,1,2,8,2,2,1,374,1,73348356,239251864,3,29,1,443995888,29,26099616,312364731,21152006,1,1,21681556,1,7079482,93233224,5,2,8,2,1,67,1,1,1,6,3930720,46534230,1,1,99193050,163889088,1,1138598,1,2,2,1,8239475}

Returns: "Solution exists"
142

"GGLGGGGLLGGLGGGLGGGLGGLLGGLGLGGGG"

{83,133,70,11,122,78,13,123,100,131,141,55,25,85,88,39,59,110,103,63,18,141,69,61,87,45,88,50,80,94,137,133,107}

{80,24,74,102,32,115,16,74,25,111,107,114,137,122,138,29,14,14,98,72,61,70,97,72,140,101,86,63,96,35,89,16,66}

{4,1,359737220,2,2,1,1,14715152,29653320,1,1,8722626,20,6,2,723832728,1,1,1,152597575,2,1,103349490,4638740,1,1,208889478,1,152954912,1,4,1,1}

Returns: "Solution exists"
31

"GGLGGGGGLLGGLLGGGGGLGGLGGLGGLGGGLGGGLLGLLGGGGGLGGGGGGLGGLGLLGGLGGGGLGGLGLGGLGGLGLLLGGLLGGGGGGG"

{29,14,7,18,2,30,30,15,19,8,16,23,27,10,0,19,30,25,12,1,24,0,19,7,23,25,5,16,7,12,9,21,9,4,20,23,18,0,19,5,25,22,26,15,1,11,10,19,26,2,28,14,23,8,3,20,15,7,27,30,13,16,17,10,3,30,7,24,2,3,9,15,5,0,0,24,2,25,24,9,28,11,21,8,25,1,2,28,20,22,25,4,3,19}

{25,4,14,12,4,24,22,25,0,1,12,22,8,29,12,12,10,8,6,2,19,8,30,15,24,0,12,19,23,27,26,14,23,12,11,19,14,25,25,3,5,28,28,3,3,21,26,5,25,10,20,5,15,3,23,29,7,0,6,27,17,10,8,9,18,18,29,28,20,4,2,19,3,17,29,2,28,22,22,3,7,17,11,26,29,12,1,13,18,20,3,18,15,26}

{3,18,56931012,12,1,1,2,9,6787286,102567548,3,1,164975548,42894204,1,2,4,29,2,176880044,1,1,77721992,1,1,14303322,1,1,3033028,4,1,1,5062551,12,1,1,16471512,14303322,2,118506920,154981278,10,5,1,4,1,186888460,1,1,1,1,1,1,146346760,1,1,40860396,1,315929972,70592024,3,31,148211199,1,8,8,1,65166150,1,8,142184757,1,118506920,1,1,330822723,1,2,587478990,1,25169700,183321351,807823929,1,3,31989084,176880044,3,1,1,2,72,1,1}

Returns: "Solution exists"
97

"LLLLLLLLLLLLGLLLLLLLLLGLLLLLLLLLLLLLLLLGLLLLLLLLLLLGLLLLLLLLLLLLLGLLLLLLLLLLLLLL"

{23,24,40,81,43,24,81,64,70,92,48,69,42,66,24,41,54,38,2,56,88,59,83,91,28,81,76,87,61,73,94,32,48,76,67,95,31,89,50,18,87,35,52,3,77,41,95,58,51,76,38,20,8,57,81,58,78,51,9,57,32,18,63,57,22,21,19,55,82,68,26,44,1,53,1,13,3,39,16,17}

{60,45,6,47,54,5,89,69,28,51,46,13,87,55,60,24,80,86,74,77,76,49,20,83,72,43,11,13,53,23,60,48,63,12,93,2,55,94,48,34,67,86,34,44,12,89,30,18,84,19,94,92,13,5,44,54,8,41,64,6,76,26,24,61,18,70,42,16,5,49,6,91,37,57,63,77,84,62,38,12}

{13122906,9730008,146439496,250263310,97399217,1149318,64922990,579929953,3816358,607203515,10726584,272018838,29,1564484,1716138,1881963,587500708,432205485,20619578,374241752,15407388,22967352,1,50008766,2279641,32161690,44425756,37510746,105924,2314722,8728682,10028436,657558,17107252,12469864,191804494,59928,45827114,549318,2,79645368,805561895,47129614,19389370,145352104,46633982,386463994,17808646,650130584,43463764,88973670,1,44367414,74293974,9063670,79529974,6020232,77397679,437390501,92345582,9583716,314768702,2002563,8822247,48428674,2,119172397,9827284,134024202,20144328,569446654,13256530,813450,675636,25405650,91974792,243677720,2079320,156987615,269478911}

Returns: "Solution exists"
74

"LLLLLLGLLLLLLLLLLGLLLLGLLLLGLLGGLLLLLLLLLGLLGLLLLLLLLLLLLLGLLLLLLLLLLLLLGGLLLGLLLLLLLLLLLLGLLLLLLLLLLLGGLLLLLLLLLLLLLLLLLLLGLLLLLLLLLLLGLLLLLLLLLLLLLLGLLLLLLLLLLGLLGLLLGLLLLGLGLLLLLGLLLLLLG"

{60,49,47,57,15,54,14,69,42,6,67,25,3,35,36,12,23,39,28,70,60,18,38,65,48,36,15,41,64,21,57,49,62,15,27,15,31,7,20,61,35,63,20,36,66,15,22,32,48,51,36,3,26,44,38,51,62,64,12,67,67,44,37,11,41,32,52,21,26,16,34,24,34,40,30,37,72,9,65,6,73,36,42,11,26,68,68,29,42,23,9,0,7,4,69,36,37,55,5,4,1,23,50,59,51,24,66,4,65,50,57,59,29,37,16,0,0,5,43,9,13,27,61,39,61,42,1,51,36,16,46,6,66,23,57,59,22,59,32,1,35,58,49,36,31,5,5,7,11,65,19,30,68,57,29,43,1,43,62,39,62,71,34,49,54,23,32,47,44,44,14,69,23,23,9,46,41,71,15,69,26,45,62,12,18,32,17,8,60}

{51,31,58,4,48,27,52,24,61,42,40,39,16,69,60,50,11,23,5,48,9,19,40,14,24,37,4,56,16,33,68,24,24,18,42,24,28,10,25,35,50,15,67,18,19,36,39,34,71,26,22,16,15,24,66,72,14,63,3,8,16,51,42,48,21,52,18,67,34,5,10,20,19,43,42,46,35,69,29,26,14,27,16,13,66,12,15,32,57,20,7,48,12,24,14,52,5,11,64,5,14,70,0,63,63,41,29,34,47,17,20,38,8,1,15,72,67,37,15,29,8,51,58,32,64,63,68,35,71,43,16,63,40,22,40,44,56,55,16,73,40,10,45,8,16,54,29,9,47,70,33,54,59,21,36,33,41,66,54,49,6,35,23,15,67,73,11,40,8,35,70,46,5,13,50,68,45,4,56,11,44,49,42,55,51,73,34,29,38}

{170571060,15322460,310947446,277771885,22552210,522355734,1,40801466,374688336,43571504,588514311,99157324,182843640,186801242,295013356,79097268,560480,2,632083530,376684902,166438492,4584636,9,495183330,57123866,152961105,10058905,1,116289705,255990,1,2,86322826,6051990,401685712,4057930,174792540,76887300,89737996,467864562,133640004,5,500078194,145781958,6,19295305,285575276,130162802,11641476,196909605,451272988,182843640,14138315,56960642,143977158,61876260,327661190,403488750,2,25313750,415854285,313195590,117947280,14236870,9585156,20974701,10825962,6439818,470845382,120150285,105066150,55981298,14,9,67177584,126227145,257606780,1,2618343,41403937,489572870,520930117,341373840,8234310,430025934,121004814,17629710,3576573,410862160,61241120,2,319661828,95707940,50957626,154872790,103547877,41512845,24691630,497013195,328796945,28843960,74147040,4,95,59208750,19523404,571662,334989634,667130778,221196804,610312210,197464815,1023750,23782440,3675765,157433260,513808372,41512845,5670720,19922994,9108750,301191795,604541058,1,127638357,197410000,165069240,258748470,19920516,43369920,365338185,62248750,263699514,25955680,718242615,1,169946908,271935695,89676345,476771720,603248238,661832850,4102404,26948750,66451260,632434590,23959845,189499540,13100090,95583906,7,9706482,245141610,55015590,17656821,5100480,36084280,28746432,411585102,51679684,49901219,2,73918880,3390260,1,141097120,4934710,673808346,2,260782754,257272290,160101209,29020960,2,156610788,1,9326796,10384836,7266505,10168870,396915422,2,316504336,268461386,28096110,124228049,512037274,1023750,1}

Returns: "Solution exists"
63

"LLGGLLGGLGGGGLLGLLGGGGGLLGGGGLGLLLGLLGLLLGLGGGGGGGGLGGGLLGG"

{34,48,50,29,53,42,49,25,21,55,1,59,15,37,1,13,18,46,12,20,37,4,12,10,4,14,45,34,60,47,7,27,19,5,3,35,45,17,58,57,27,56,61,30,6,15,46,29,26,49,4,29,4,36,32,54,30,7,1}

{4,28,21,15,47,56,19,29,58,51,45,14,31,38,18,25,53,14,39,51,6,25,35,28,32,16,9,5,5,35,12,13,9,28,22,28,29,50,18,28,61,35,58,6,17,5,27,11,60,35,1,11,16,9,4,52,51,27,10}

{14153980,21907350,1,1,333431886,55879130,4,4,51357789,1,1,1,1,9209704,61853350,1,25655950,162853215,1,5,2,2,1,9271575,392274,1,1,2,1,34983384,1,14156925,176802924,105451650,4,50142600,1218872,1,36405950,73271475,10707400,2,233946328,12,2,1,1,4,1,4,1,1445976,1,3,62,283634970,411740760,1,1}

Returns: "Solution exists"
108

"LGLLLLGGGGGGLGGLGLGLGGLLGLLGGLGGLGGGGGLGGLLGGGGLLLGGGGLLLGLGLGLGLLGGGGGLGLGGLLLLGGGLGLLGLLLLLGLLLLLLGGGGGGGG"

{84,62,53,20,49,107,84,50,44,9,6,7,27,102,66,107,4,82,23,20,73,75,58,86,8,93,23,50,62,70,83,86,107,31,1,20,13,45,59,59,33,11,18,2,98,83,89,85,15,74,2,6,24,80,46,93,100,40,107,85,65,104,6,72,36,4,42,52,91,58,66,65,52,85,46,44,12,57,50,13,36,37,47,87,63,10,94,10,6,92,77,47,75,51,52,11,106,12,24,14,1,36,38,41,84,41,10,64}

{104,11,100,16,56,35,107,53,12,47,105,80,31,57,24,64,22,53,36,66,53,84,62,44,106,8,18,26,65,50,10,87,61,61,55,47,43,100,107,68,49,50,21,79,29,56,61,77,23,7,64,30,67,67,27,20,79,35,21,51,85,78,22,88,12,77,74,65,4,103,11,92,47,86,6,90,93,83,76,29,51,52,64,99,16,75,27,30,52,90,27,29,69,82,20,41,46,93,93,97,18,87,58,85,17,55,82,77}

{220260601,1,427573080,43216688,45379180,108237616,1,1,1,1,1,2,31804302,1,2,244045366,3,181645244,2,67749184,1,1,169499979,431982007,2,84078488,5983404,1,1,554218272,1,1,102034568,2,1,1,19,2,2739370,1,2,93600567,44613100,1,3,1,1,7697276,4847052,55664640,1,1,2,2,30055596,1585498,58232520,2,55251700,1,134257722,1,230269116,16,47187650,5640828,1,1,2,1,1,483323934,1,206728826,4,1,50563258,19468267,447634170,66133452,1,1,1,165822,1,111343859,3686586,1,125623036,428554224,2556156,103415451,678965953,1,124912558,1331931,22499356,50563258,3751822,295722985,1,2,1,1,1,1,1,1}

Returns: "Solution exists"
51

"GGGGGGGGGGGGLGGGGGGGGGGGGGLLGGLGGGGLGGGGGGGGLGGGGG"

{11,22,20,46,17,24,26,24,32,41,50,36,40,14,48,26,16,10,10,5,39,11,0,47,46,3,18,27,7,9,41,46,33,8,32,23,15,0,21,33,14,15,10,26,18,19,6,6,34,33}

{20,15,39,22,49,44,44,49,35,1,20,9,34,48,39,22,36,20,24,34,29,37,18,13,5,40,50,32,1,42,43,1,25,34,29,7,12,43,44,0,23,41,32,23,19,36,29,7,41,27}

{1,1,1,1,1,33,3,3,1,1,1,1,3531380,2,2,3,1,1,11,2,8,1,1,17,1,1,3527860,23471296,1,1,26415069,5,1,1,8,4857384,1,3,2,1,2,1,2,1,541476112,2,1,7,1,2}

Returns: "Solution exists"
92

"LLLLLLLLLGLLLLLLLLLLLGLLLLGLLLLLLLLLLLLLLLLLGLLLGLLLLLLLLLLLLLLLLLLLLLLLL"

{64,88,34,9,88,47,74,37,9,78,61,70,91,82,34,51,43,53,91,14,51,4,1,65,4,66,30,69,26,63,70,37,41,9,58,64,1,33,34,0,72,2,16,33,40,44,14,54,15,40,42,26,68,34,8,22,68,47,60,7,9,36,65,11,18,47,30,47,11,69,39,23,74}

{48,74,56,20,62,64,72,61,86,60,74,22,42,10,48,39,19,44,14,43,24,56,28,91,85,77,86,50,83,75,3,91,64,83,29,17,67,62,5,20,42,49,76,82,53,19,34,16,24,83,80,29,70,48,9,52,27,18,57,20,20,75,62,61,72,3,35,29,69,64,58,48,64}

{24951339,51806673,8268260,739429176,182696462,145195371,27045702,63036610,353127729,13,96997698,29987910,71619080,159117556,3269721,227944444,5204328,54056400,180155938,320967799,1273937,20,112633800,151200818,62285180,150739303,1,13358356,706273512,1694794,86222664,22068670,460853514,769240311,228400472,91008297,235800,174171998,7407686,508313400,57040360,80738982,226295107,213955588,1,383952,21570341,273907279,1,6152398,45077760,167779848,69077761,3269721,767629662,111379770,21001817,234500571,312282542,522234776,739429176,22834058,441234482,438109014,144687618,216118584,18339562,160426869,124790916,91517508,40744132,29832474,10342251}

Returns: "Solution does not exist"
189

"LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLGLLLLLLLLLLLGLLLLLLGLGLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLGLLLL"

{23,183,168,4,72,5,4,62,129,27,183,63,87,115,26,138,23,104,127,20,2,30,110,53,11,30,64,37,177,186,182,41,58,22,135,186,15,135,68,117,27,54,19,171,26,38,99,94,69,96,188,106,69,181,182,10,24,13,49,119,48,183,100,15,4,53,149,32,81,109,107,51,121,156,158,35,178,182,143,137,173,128,105,2,72,97,54,73,43,25,149,94,164,6,52,171,161,136,170,112,126,38,39,52,168,107,67,24,48,142,31,34,80,57,139,165,145,106,116,17,135,165,51,78,15,18,163,85,57,168,70,31,150,77,176,1,147,110,156,91,36,125,185,159,44,184,89,51,175,87,124}

{145,156,106,52,56,82,29,74,79,34,88,171,97,187,160,123,14,5,153,111,22,12,80,131,87,188,4,68,60,128,151,54,167,162,125,74,53,179,37,3,65,147,42,3,58,106,75,133,58,43,76,176,73,87,22,144,49,60,102,132,101,76,180,162,61,29,32,151,129,166,188,183,102,167,143,150,76,84,66,59,139,49,57,4,135,153,131,61,33,102,146,47,33,139,19,126,55,99,151,82,73,146,0,44,146,54,186,161,57,18,173,33,174,40,128,44,42,177,6,150,130,31,115,12,128,61,36,174,95,139,123,39,75,127,165,45,55,151,149,109,124,101,36,54,0,179,91,154,21,51,86}

{171136476,202551138,3111136,332599005,2388321,286272,185253255,9467436,94865680,492537841,603882,7739760,162821880,23522658,185584758,11101860,218423275,31230912,125607543,8349427,95602526,55555626,506436503,13811910,78569675,106704291,38795130,38508660,498088695,1459566,2169212,288723580,512736269,97692820,41058844,227826,96905070,122448036,38508660,883964,489435369,491048740,30887826,13134828,567886127,13918240,13310854,32471010,203734032,19837776,115624408,160992,138371568,201613845,3970684,90901096,85079190,356068570,55309875,14803104,290314418,123100776,207465644,292944420,63778815,173513505,174400088,1,9527570,5476368,149373165,82914138,206812125,11181733,24362001,348439600,623628488,13880596,17072010,1,84829382,252315715,87649328,258736770,162181422,99080280,2,18155541,8,3880875,68516888,4307602,458523032,48597142,165751494,1104054,1134360,2217178,14185882,14616,501845117,212071090,9064068,155465796,94808252,111994980,22086,628866,166667756,113287860,545734386,448450504,253378893,10925704,117143686,39371244,103504068,31971360,329572496,708324400,112380626,198436194,214773378,37051014,708862554,159568290,64521670,66083103,279295924,19598348,525379932,33402636,825389200,14571448,6661512,3221658,402434760,128036066,116190472,999990,151611285,143547692,26589955,327118420,6975852,697825524,9,70841595,13958028,253174107,27862632}

Returns: "Solution exists"
24

"GGLGLLGLGGGGLGLLLGGLLGGGGGLGGGGGGGGGGGGGLGGGGLGLGGGLGGGGGGGGGGLGLGGGGGLLGGGGGLGGGGLGGGG"

{14,1,5,8,22,16,14,12,19,10,15,10,21,21,8,6,0,4,19,10,22,17,15,5,14,9,12,9,21,22,8,21,23,18,23,20,10,13,17,18,0,2,12,14,13,2,12,10,12,17,19,21,20,13,22,3,22,2,9,7,23,21,12,19,15,10,18,8,21,18,8,12,0,11,10,13,4,10,14,18,20,6,10,18,14,19,7}

{23,17,10,5,15,6,16,5,6,22,3,3,2,23,19,23,8,19,9,1,10,19,2,3,3,17,5,1,12,2,0,11,2,8,14,17,1,5,9,8,5,13,6,19,22,5,23,4,9,23,17,20,14,19,9,22,2,13,23,20,13,1,23,9,16,6,13,6,14,20,0,13,12,23,21,17,3,8,21,6,17,23,22,10,6,3,9}

{1,1,333066596,4,375862158,20754188,1,10407516,2,1,1,1,200225500,2,84581104,13738396,142220720,1,1,265761197,235702971,1,2,1,1,1,10407516,1,2,1,1,1,2,4,1,3,1,1,1,4,523375460,1,14,1,1,132219796,2,206691803,1,1,1,411017250,1,1,1,3,1,1,1,3,1,1,10582278,1,407911946,1,19,4,1,1,142220720,798,1,1,1,1,1,90506672,1,148,3,2,235702971,1,1,1,1}

Returns: "Solution exists"
53

"LLGGGGLLGGLGGGGL"

{50,35,8,47,44,32,26,7,22,29,35,22,37,10,11,7}

{6,48,50,42,6,36,48,30,44,36,17,16,52,25,52,3}

{470959690,1,2,1,1,8939116,122327444,102816945,2,2,24709658,2,1,1,1,198587730}

Returns: "Solution exists"
197

"GGGGGGLLLGGGGLGGGGLLLLGGGGGGGGGLLGGLGGGGGGGGLGGGGGGGGGGGLGGLGGGGGLLLGGGGLGGGGGGGGGGGGGGGGGGLGGLGGLGLLGGGGGGGGGLGLGGGGGGGGGGGGGGGGGGGGLGGGGGGLG"

{154,2,139,32,112,22,0,84,121,53,54,23,94,136,70,27,187,46,11,39,60,10,114,84,93,188,126,1,135,152,162,44,143,22,159,157,138,126,13,183,14,36,54,42,107,11,69,110,191,150,19,172,16,115,192,143,46,71,131,7,79,122,192,70,100,122,4,18,130,41,184,50,89,69,85,93,168,54,71,16,163,68,192,81,115,71,80,29,177,196,6,18,20,22,169,129,26,68,146,127,191,52,146,81,31,61,93,47,4,141,176,194,10,193,99,126,188,17,168,196,113,143,139,46,37,75,194,39,132,155,107,33,77,155,189,0,128,55,191,120,115,188}

{83,189,33,40,76,158,20,17,77,119,105,36,137,32,29,142,189,83,1,119,161,129,2,8,18,192,121,57,41,161,161,57,95,20,155,119,110,143,42,151,63,73,15,30,177,79,119,73,150,80,3,21,162,30,185,69,183,183,78,32,112,115,38,154,132,73,5,19,28,33,10,185,91,156,59,193,190,96,132,187,146,150,167,194,51,88,49,157,14,166,67,104,188,141,78,113,140,146,82,63,128,38,185,136,138,141,79,17,151,77,107,77,7,53,91,103,20,28,153,46,126,37,116,124,39,43,192,165,25,156,136,111,172,188,109,56,9,42,154,108,158,162}

{1,1,1,1,1,1,286054314,525770005,125067908,1,1,1,1,109408260,1,1,1,1,396354427,2858415,147491490,29817216,3,1,1,1,2,1,1,1,5,4304350,498989022,2,3,8765806,1,1,1,1,23,11,1,3,1782976,1,1,1,1,1,1,6,1,3,1,1,545098478,1,1,253024720,1,3,1,1,2,40045005,115391565,368777239,1,1,1,1,71207030,2,3,16,3,4,2,3,1,8,1,1,2,2,1,2,1,1,1,139576,2,1,321827922,1,2,67744160,1,43135764,211332240,26,1,1,1,3,1,1,1,1,641927078,1,25276288,4,1,1,2,1,3,1,1,1,1,2,1,30,1,1,4,1,1,1,2,17881626,1,1,1,69,1,3,504040740,7}

Returns: "Solution exists"
169

"LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLGLLLLLLGLLLLLLLLLLLGLLLLLLGLL"

{93,149,24,158,31,88,148,130,71,87,145,162,62,10,161,66,154,42,155,79,73,69,62,96,158,122,68,138,128,107,65,68,81,109,35,93,125,22,53,83,36,7,149,141,123,102,151,31,115,107,74,164,150,35,23,2,114,93,112,21,107,35,105,168,103}

{67,76,22,4,120,13,58,82,53,1,104,25,55,126,82,166,97,81,159,72,69,110,53,53,22,95,76,12,35,98,123,119,129,91,137,114,51,35,127,10,83,12,39,42,77,63,56,18,156,132,141,150,98,142,105,29,62,166,5,155,113,161,164,45,54}

{414223887,9971384,2698087,179690115,550672,219503040,178061796,1127406,32310752,29339640,212884785,186691586,11636528,116302514,1117932,18468466,478263093,6387310,299628663,131730586,7511994,23610258,84280096,78097248,112012915,54372164,52165768,22344300,444850855,112598968,165471180,353710716,121317006,127228800,627251387,93411345,1,199667839,317891488,27560850,70924200,38865540,289511768,1,218973252,448661990,1871532,8115908,152347548,11273306,275851982,390433260,344427288,140602180,273331938,1,76753070,23133702,704240936,121726518,10995544,15037212,2,274255762,181605791}

Returns: "Solution does not exist"
104

"LGLGLLLLLLGLLGLLLLGLLLGGLGLLLGLLLLLLLLLGLLLLLLLGLLGLLLLLLLGLLLLGLLGGLLLLLG"

{88,47,46,42,67,41,39,16,66,50,100,103,98,30,33,53,92,49,26,84,89,7,21,78,37,49,35,87,21,18,85,35,76,65,85,65,34,57,82,56,14,24,96,72,46,20,32,91,21,83,20,101,29,100,55,41,45,26,27,45,29,80,10,40,23,74,1,98,8,98,97,12,88,18}

{1,93,83,30,22,59,29,86,21,77,24,17,26,72,87,36,66,68,94,7,13,44,17,32,10,69,49,88,11,86,40,100,26,87,31,39,43,5,52,21,84,37,9,91,34,31,90,14,45,61,31,58,69,77,90,37,5,68,34,99,64,99,56,43,100,14,97,34,44,99,30,46,89,56}

{680622738,1,19656780,5,148103956,1981200,114049375,5624640,3298230,441637561,36,4868829,186378570,1,105951924,114032627,990990,9207324,1,711825,500684067,642493245,1,1,124753889,1,38611917,473578404,66319794,706859748,2562,57907836,317216107,77521236,1838662,94029375,103029213,23769695,249984532,1,253225,693914292,242482370,18629994,34359780,34004482,38278110,1,13725711,33859716,1,418546408,156484037,6,22735170,45397547,804467,17487372,21,2583816,305005354,32557992,15017470,1,705769596,4801146,1,21,17352485,13539960,33921305,166415340,714628809,2}

Returns: "Solution does not exist"
39

"LLLGLLLLLLLLGLLLLLLLGLLLLLLLLLLLLLLLLLLLLLLLLLLLLLGGLLLGLLLLLLLLLLLLLLGLLLLLLLLLLGLGLLLLLLGLLGLGGLLLLLLLGGLLLGLLLLGLLLLLLGGLGLLLLLLGLLLLLLGLGLLLLLGLGGGGLLLLLGLGLGGLLLLLGLLLLLGGGLLLLGLGLLL"

{25,17,30,16,20,6,3,26,10,0,0,38,21,28,24,25,32,21,0,22,25,0,15,36,6,15,3,19,18,9,26,19,35,18,31,38,20,18,2,38,8,10,33,35,12,30,11,1,26,33,2,16,3,37,16,2,13,33,13,5,32,36,14,37,32,19,23,26,14,14,26,26,10,29,10,15,3,15,13,20,18,4,33,19,34,1,8,24,12,12,27,1,37,32,28,6,33,18,23,30,20,32,10,14,38,18,38,16,22,8,37,15,9,5,16,36,25,8,4,28,8,30,1,37,0,35,13,15,34,2,12,37,4,25,22,12,36,24,31,12,18,4,27,21,6,32,9,18,8,4,38,15,21,0,15,7,8,35,21,27,26,34,30,10,12,8,5,18,28,17,29,17,11,17,18,30,15,33,27,13,24,29,0,33,4,28,20}

{27,19,15,28,6,18,35,27,24,33,27,37,19,11,22,17,36,9,16,28,24,17,7,9,3,30,20,2,17,22,11,32,20,6,10,15,10,8,21,2,6,18,38,24,36,3,5,0,38,11,23,2,32,16,8,23,18,38,10,7,10,13,23,19,13,0,29,3,2,5,20,33,3,36,15,0,37,22,21,15,21,30,23,32,15,19,20,14,28,34,7,6,31,30,27,15,18,36,27,14,11,14,11,0,16,32,12,20,3,16,22,6,2,12,28,32,8,28,10,4,27,28,32,12,21,9,8,4,23,20,31,14,38,1,33,2,17,28,4,5,22,1,9,9,31,5,38,34,15,14,31,26,6,4,32,18,36,28,17,15,7,28,19,22,10,9,6,38,20,9,3,14,26,27,4,18,27,0,21,33,4,20,5,37,20,7,24}

{31327056,5837285,1404818,1,5300640,4483458,9640126,66312144,175174725,211634360,33307344,26190588,1,24932961,254038425,303361260,48272688,204524697,147577304,155623003,3,215025160,23287087,64090416,20885994,1404818,36767520,6179185,121650795,251587401,6574797,29279790,22019040,4483458,38156987,42870004,152111520,125717697,65020063,131064508,168862194,64330497,609300740,25357575,3282352,75197522,9509049,139381256,67247612,59571315,1,1,63168642,14303787,349399321,1,487809,609300740,3133779,52831537,261336042,1157712,466426818,1234785,1981674,12739720,247589394,13680014,122347863,8253729,1,52668295,66595738,221136,18039769,14890456,5327886,26161277,3694479,19919520,75840597,2,391331330,1,39102817,18918905,297263520,129534075,13842502,38517674,1,105917094,3052689,2,251469072,1,1,23765616,246353328,690136722,1308960,64415538,32006799,252246456,1,9,21114244,197419680,96577154,1,15982719,11315394,69455919,5279318,1,48272688,313502916,209712991,198613514,154717846,630859248,1,1,1421646,1,25112919,6124179,26009114,35057698,60899040,4922014,3,235994212,196641516,371823745,7114286,96237520,136459275,1,5279318,1,243456814,135512208,204524697,23933862,77641542,1,139442121,1,1,1,1,101867994,81970168,34222842,83042631,99454832,1,307112215,1,36529061,1,1,199775477,17769818,339031797,25671294,152876052,1,328064295,78420354,577891215,6574797,610451280,1,29,1,211634360,380572848,5832615,252560850,3,33782056,1,109654560,138525593,12895200}

Returns: "Solution exists"
122

"GLGGGGGGGLGLGGGLGGGGLLLLGGGGGLGLLLGLLLGGLGGGGGGLLLLLGGGGGGLGGGGGLGLLGLLLLGLGLGGGGLLLGGGGGGGGGLGGGLGGLLGLLGGLGGGLLGLLLGLGLLGGG"

{78,26,17,52,12,46,43,47,73,99,103,6,7,87,11,114,65,43,25,18,38,13,14,59,101,52,80,95,105,31,107,20,85,29,97,121,56,6,30,49,120,64,20,47,115,93,30,2,36,82,121,9,55,57,64,119,71,69,61,78,89,114,36,83,7,5,58,92,89,42,27,46,110,87,103,18,22,94,103,7,99,39,0,118,5,83,66,56,88,27,87,16,79,80,9,53,59,50,45,84,19,68,104,22,42,113,76,93,107,107,96,13,14,87,17,63,106,59,1,5,91,7,44,52,72}

{36,23,103,118,75,120,10,17,54,66,60,118,115,78,108,26,83,88,62,111,26,6,29,25,82,108,60,121,83,68,116,100,32,37,114,59,41,12,107,81,112,106,84,26,9,75,117,42,26,72,24,16,54,88,1,101,88,20,21,37,5,102,31,1,68,115,92,86,48,67,79,37,69,75,26,15,26,27,12,114,59,52,59,116,87,72,28,30,40,16,31,17,12,51,95,13,65,114,59,34,49,105,32,66,73,45,50,107,89,56,28,54,66,116,86,36,21,117,106,71,29,45,87,5,16}

{1,442868676,2,3,1,3,2,45,1,407893614,2,54651747,1,1,2,37940748,2,1,1,3,31456044,8325755,270550363,30594579,2,1,2,1,2,9549378,1,20175687,226557070,60833550,1,2895268,3624915,623959418,1,1,841983,1,1,3,1,1,1,10695440,708166284,224731514,10504652,615648,1,1,1,2,1,7,32447976,1,1,1,1,1,96674598,1,205209200,11991840,4,31785040,157475409,18248400,458537695,1,301669476,3,18408192,7,2,1,1,36056310,2669345,44426397,1,7,3,1,1,3,1,6,1,139558700,1,1,1,82039540,1,2,66845533,39793212,1,41048832,55026640,1,5,8865912,1,1,1,1429445,359804091,1,10588320,636883828,156202148,1,362086985,1,263064,221702716,1,1,1}

Returns: "Solution exists"
9

"GLGLL"

{1,2,4,2,4}

{0,5,5,6,7}

{1,846643630,2,170908821,16418534}

Returns: "Solution exists"
89

"GGGGGGGGGLGGGGGGGGLGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG"

{58,25,52,33,73,34,28,32,18,5,66,54,12,86,18,24,72,11,69,29,3,45,40,79,26,62,62,70,21,1,76,55,3,10,57,8,68,20,27,72,24,15,50,87,15,59,44,34,17,3,62,1,46,84,17,86,47,9,12,30,77,74,31}

{38,13,38,26,4,0,57,3,24,4,39,66,21,7,88,67,79,87,67,43,34,7,48,64,15,76,36,10,83,82,56,70,56,87,2,49,50,81,46,7,77,82,41,65,76,74,49,29,84,78,58,86,79,38,75,1,88,8,13,2,21,5,32}

{6,2,74,1,7,1,1,11,1,12630051,11,1,1,1,1,3,1,1,330372,1,1,2,3,1,4,3,1,4,1,1,1,4,1,2,1,1,1,2,1,16,1,1,1,1,3,1,1,1,1,11,3,1,1,74,5,1,1,9,4,1,1,1,1}

Returns: "Solution exists"
193

"GGGLGGGLLGLLGLLLLGLLLLLGLLLLGGLLGLLGLGLLGLLLLLLLLLLLLGLLGLGLLGLLGLLGGLLGGLLLGLLLGLLGLLLLLLLLLGLLLGLLGLLLLLGLGLGGLGLLGLGLGLGGGLLLGLGLLLLLLGLGLLLLLLLLGGLLLLLLGLLLLGLLLLLLLLGGLLLLLGLLLGG"

{110,133,165,41,179,68,143,18,132,9,151,34,63,68,178,175,191,134,186,116,58,78,135,54,178,72,58,96,109,101,150,89,190,170,131,86,26,29,189,161,76,28,164,192,191,39,172,125,21,60,76,113,164,96,176,48,7,134,12,176,56,55,98,98,31,164,92,148,191,97,113,96,37,18,9,124,93,65,159,191,181,175,177,38,11,156,124,31,7,24,183,87,65,172,186,171,91,88,70,129,90,39,164,38,11,83,180,173,182,66,153,3,9,93,164,40,109,102,98,83,51,126,102,130,78,148,19,89,102,156,82,45,35,142,57,126,143,3,160,127,147,30,75,110,58,75,104,184,178,73,137,139,22,88,63,103,170,5,148,126,109,180,120,75,173,170,151,25,179,130,73,101,78,191,70,0,177,34,131,124,97,143,38}

{56,141,85,124,120,62,17,4,147,75,47,159,164,138,21,186,37,130,59,48,183,59,45,0,179,26,95,72,128,135,60,133,72,107,21,5,13,105,98,129,142,146,44,121,151,50,145,162,78,56,30,29,83,64,83,70,58,139,23,186,158,91,31,32,75,133,10,164,183,171,186,77,163,188,163,54,84,4,42,153,77,167,51,143,141,35,165,97,37,30,50,115,108,88,20,126,109,71,91,160,171,45,189,96,138,144,0,135,140,158,183,2,150,118,192,161,121,99,33,65,91,77,98,159,143,127,118,30,187,166,165,100,170,74,71,158,108,89,21,7,191,79,175,106,132,30,132,189,89,171,149,187,33,90,90,122,190,54,45,59,163,136,84,79,94,128,144,101,35,155,66,14,5,111,69,58,46,63,129,168,69,153,117}

{2,1,1,8890140,1,1,5,14863380,17188440,1,155177674,26110206,3,21040492,3371510,266959366,98120960,1,192930646,5116420,60747300,119518888,126839269,15,123819790,258905138,165994300,186677340,3,1,622937980,42570823,1,226263290,2988458,1,39205964,2,9559277,5605652,3,415707664,226188,58240080,134182370,100451694,85782620,27521514,3871528,14096320,142491297,7761482,409734,20,9299238,69801032,1,53172120,1,564308058,47804480,1,4497311,61022598,1,2045889,279152104,1,5,1841554,748843418,1,32,63805980,8515488,49933380,1,656823132,1602966,19718790,1,266272609,17796186,1,168282012,81319732,62692140,9100234,335223552,149190841,70261695,206152940,29130066,1,197248988,3296494,2764044,1,328204632,60679428,1,92610346,17341389,11976780,12776588,38454,1,162445117,1,74482464,3,1,54512553,1,4375440,16439072,27,161139390,1,12598326,3,515672722,1,1,1,52505634,23678952,142950779,1,57078021,1,241090255,250897460,21352932,180467532,231909556,18319350,1,5639532,3,41166440,57301852,115544377,130677414,20566200,86034299,33859320,96528120,1,1,273670369,9285720,35337957,21288522,808986,26818740,5,246831105,94619834,173077966,277344,1,166839750,89760788,122802025,25102605,105453686,78841307,233743012,288384906,8,1,420866664,129550330,283243688,17168700,4831164,3,64309564,281820,22837958,3,1}

Returns: "Solution exists"
79

"LGGLGGGGLGGGLLLLLGGGGGLLLLGGLLGLGGGGGGLGGGLGGGGLGGGGGGLGGLGGLGLLL"

{25,20,29,20,64,67,15,2,34,62,39,63,72,46,26,8,5,3,60,76,66,3,40,55,3,39,68,67,29,50,60,74,9,0,30,47,12,32,38,33,65,44,38,18,2,78,9,61,73,66,63,24,1,62,61,8,73,20,19,11,11,31,59,57,65}

{53,36,75,40,32,19,30,22,23,57,35,31,14,23,47,54,65,48,18,62,63,60,35,18,11,8,37,2,48,57,57,38,32,53,5,54,32,25,11,60,3,39,69,27,5,68,52,28,71,23,30,17,29,42,34,51,65,28,5,68,44,8,61,6,51}

{582414007,1,10,6439073,1,1,4,1,40467276,1,1,1,15274340,138253149,31239182,127361845,642507316,1,1,1,1,2,215120318,63294938,20966848,708326515,1,1,111361130,350811513,1,864854,1,1,1,1,2,1,44923454,2,4,23,76515102,1,1,1,1,81054790,1,1,1,1,2,1,198764,65,2,8721085,1,1,54707616,5,24903960,227950736,179006100}

Returns: "Solution exists"
87

"LGGGGGGGGLGGGGGGGGGLGGGGGGGLGGGGGGGGGLGGGGLGGGGLLGGGLGGLGGGGGLGGGGGGLGGGGGGGGGGGLLGLGGGLGGGGGLGLGGLGGGG"

{6,61,23,19,0,79,62,8,47,48,41,61,35,57,56,57,36,6,81,48,21,9,31,43,10,46,64,60,74,30,25,62,85,0,82,59,63,28,86,65,14,66,11,32,83,65,20,7,19,59,54,67,36,63,0,42,9,42,37,7,78,17,13,10,30,72,45,19,13,76,4,84,13,22,40,73,1,8,53,68,1,10,50,52,73,45,13,83,7,59,80,40,68,42,7,58,35,45,74,77,47,2,40}

{72,57,37,68,84,12,66,79,35,40,66,82,20,33,42,56,82,26,46,10,84,32,37,36,68,39,62,59,19,7,66,20,28,22,10,67,75,76,1,18,71,58,20,10,6,49,39,57,77,71,86,8,47,17,61,24,64,85,47,68,71,21,7,43,1,80,80,40,66,70,10,10,62,73,6,52,10,52,74,29,23,71,72,5,79,54,23,46,10,43,17,80,38,58,28,29,25,12,51,27,69,14,60}

{4531995,3,1,4,1,2,30,26,1,442995175,2,11,1,6,1,1,11,3,1,260216439,1,1,2,1,1,1,1,48827607,1,1,5,5,1,2,1,1,2,247652580,1,1,1,15,26439805,1,3,1,5,169735044,728627692,1,1,1,222499156,1,1,312586611,1,1,2,2,1,165113772,2,1,1,3,1,1,73367880,1,3,1,2,4,1,4,1,52,5,2,333437609,7408569,1,725235732,2,1,1,41527923,1,1,3,1,1,89193945,1,364376010,1,2,62143215,1,2,2,1}

Returns: "Solution exists"
18

"LLLGGGLGLLGLLGLGLGLGLLGGGGGGLLLGLLLGGLLLGL"

{9,2,14,4,5,9,9,11,14,7,16,17,17,14,6,8,0,0,10,0,7,9,3,4,13,15,7,8,5,1,17,15,12,13,15,15,0,8,3,1,9,13}

{2,3,11,2,1,14,17,4,4,9,3,6,5,11,16,17,14,12,6,16,8,10,10,0,5,17,5,16,2,11,9,10,1,8,2,13,10,4,16,16,16,15}

{45554828,159023110,2764080,2,2,4,7436484,18,9611460,104850900,1,40997511,151920,12,8117464,1,133094640,7,474202385,8,4765950,86014940,5,2,1,3,5,2,930640,1474704,7436484,1,4716446,52298358,152089842,3,1,245106,2569960,350056,4,37659657}

Returns: "Solution exists"
88

"LLLGGLLGLLLLLLGGLLLGLLLGGGLLLGLLLLLLLLLLGGLLLGGGGLLLLLGLLLGLLLGLGGLLLGLLLGLLLLGGLGGLLLLLLLLLLLLLGGGLLLLGGLLL"

{33,86,70,85,86,44,22,50,47,53,84,42,32,82,81,34,35,51,11,56,65,33,77,37,59,85,38,11,42,81,68,79,76,6,41,25,2,22,62,42,48,11,54,53,60,67,5,64,86,12,15,18,3,30,10,17,12,28,39,77,67,26,59,46,80,35,56,75,70,25,1,16,8,0,15,28,58,65,1,31,19,82,65,85,17,76,54,42,4,62,73,67,36,33,64,81,14,31,31,58,86,46,15,60,44,53,82,44}

{83,21,16,76,19,12,53,22,68,33,53,22,43,22,50,54,11,85,48,6,84,32,67,51,55,24,54,13,0,20,53,61,27,60,37,86,82,13,59,17,45,55,67,31,63,38,18,9,38,19,7,61,65,27,72,81,61,15,40,13,61,24,54,11,40,29,36,45,74,8,61,80,74,55,41,87,5,42,11,18,86,77,53,77,48,71,42,80,5,36,70,44,48,31,59,25,10,3,38,72,38,68,35,84,75,62,44,29}

{98824052,93217320,31065678,1,1,299060280,1923570,1,2259048,12327030,276660,91044558,264474064,95979510,1,1,22037874,30810899,19571010,1,76339716,119463562,160295467,1,1,1,2840166,18712608,446616588,2,2469060,408560179,158587760,144853747,56597269,39997170,6656200,89359776,82882674,396523551,1,1,1224594,1106640,143639485,1,1,1,1,166432504,31944598,84036173,440737276,147306820,1,270396360,603470776,16381914,1,222193696,244462007,197075106,14,14965086,1,1,41344,1764623,114304086,1,41250920,4438700,778311105,1,340871484,288226542,309032660,14199539,2,1,162637965,1,1,38906987,407038965,46486128,864738,35001300,166736555,16558272,2522376,121147335,436902720,12015312,78809066,11976120,1,1,1,595534548,528473745,30576612,31962057,1,1,2206755,36073710,269892180}

Returns: "Solution does not exist"
66

"L"

{24}

{15}

{5318901}

Returns: "Solution exists"
42

"GLLLGGLLLLLLLGL"

{26,8,39,9,17,31,3,36,5,11,40,15,7,30,35}

{37,2,33,26,32,5,1,23,9,35,15,27,14,18,1}

{22,805604085,531752080,2269190,1,3,71862805,85637370,154160517,316730274,617408,1659328,3082860,3,74224290}

Returns: "Solution exists"
119

"LLGGGGLGLLGLGLGGLGGGGGGLGGGGGLGGLGGLGGGGLLLGGGLLGGGGGLGGGLGLGLGGLGGLLGLLGGGGGGGGGLLLLLGLGGLLGGGLGGGGGLGGGLGGGGGGGGLGGGGLGGLGGLGLGLGGGGGLLLGLLLGGLGGGGGGGGGGGGGGLGGLGGLGGLGLGGL"

{81,106,69,109,47,12,79,20,79,11,75,45,76,2,106,25,104,105,46,39,14,57,25,70,3,89,23,83,24,40,82,54,80,107,70,34,44,93,21,114,20,43,55,28,97,6,101,23,54,65,103,51,107,98,56,47,55,30,8,59,34,43,77,72,38,24,8,78,109,97,80,97,63,2,80,77,26,66,55,69,104,47,117,2,93,37,98,112,50,46,97,11,113,1,23,81,93,56,77,94,30,86,99,93,41,105,13,36,79,42,109,26,68,66,100,107,94,63,38,37,9,81,31,93,16,68,33,106,62,118,36,71,58,40,68,95,18,75,33,64,51,7,117,53,49,47,49,0,82,37,12,20,91,80,76,68,85,117,59,100,21,63,0,86,51,21,21,51,46,112,86,90,109,106}

{31,97,96,40,60,102,43,90,30,20,18,43,96,45,68,57,49,51,101,80,107,44,63,50,83,31,67,62,67,80,118,117,27,110,40,99,9,1,54,43,18,56,66,56,86,112,21,13,67,9,112,20,114,39,17,5,90,29,87,43,26,36,109,49,37,13,60,22,9,92,19,15,62,55,114,33,77,12,15,20,101,32,42,117,51,36,12,72,61,87,60,58,9,23,27,27,26,10,103,75,74,29,50,85,25,95,102,108,91,52,73,85,101,23,69,113,31,71,40,99,83,24,18,66,115,27,118,91,88,82,3,38,75,105,65,58,39,63,62,69,26,63,24,80,92,35,72,91,65,55,2,99,59,36,65,79,67,85,23,117,101,40,30,69,49,86,30,30,49,28,8,101,25,105}

{398733360,329273780,2,1,1,2,4687378,1,12774776,792237057,2,23506249,1,336169964,1,2,35978436,3,1,2,2,2,2,59264942,1,48,4,1,3,156548476,1,4,232822380,2,1,257863866,2,2,2,1,528394872,47399618,172754,1,1,1,88039314,60848924,4,1,2,3,2,199912180,1,1,1,29057560,1,719398,2,2877592,1,2,177104487,1,1,396033627,7835158,1,182889644,2226260,2,1,4,2,2,2,1,1,3,127759163,346882880,66804928,208656024,31988904,2,67910682,2,1,17597380,771247573,1,2,1,262949745,2,2,74,2,1,758114120,1,1,10,286416,2,1,1,5,1,1,1,2,397507058,3,2,1,1,144936273,1,1,62068560,2,2,319529580,1,606044879,6,199832690,1,1,1,1,1,586117296,132470936,80708306,2,175521562,135302118,339664394,1,1,153165044,1,2,1,1,1,2,3,1,4,1,2,1,1,2,173331392,3,1,3912440,1,1,414439542,2,1,155354084,1,41891253,1,1,415679121}

Returns: "Solution exists"
17

"GGGGGGGGGGGLGGGLGLLGGGGGGGLLGGGGLGGGGGGGGGGLGGGGGG"

{9,5,16,11,4,13,9,1,15,7,6,0,1,4,12,6,4,7,2,5,15,8,16,6,8,0,12,7,7,4,8,1,1,0,5,16,2,14,0,9,16,9,5,16,15,7,12,3,16,6}

{5,8,9,13,10,11,2,4,7,13,16,2,3,2,9,7,1,0,6,13,14,5,7,5,14,16,5,10,6,8,1,2,2,13,11,6,9,3,9,0,0,6,11,11,6,16,8,14,4,15}

{2,1,2,4,1,4,1,1,1,1,1,247714630,1,1,6,528256183,1,336914422,388397695,4,4,1,1,1,3,2,456660,561640703,1,1,1,1,325390210,2,4,1,1,3,2,2,2,7,4,14629984,1,1,3,3,1,1}

Returns: "Solution exists"
88

"LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLGLLLLLLLLLLLLL"

{48,77,67,46,41,15,21,81,23,22,40,53,30,61,63,75,29,69,79,86,53,15,82,57,35,75,38,66,3,1,29,23,62,54,38,71,5,16,52,11,30,28,45,63,70,78,46,59,81,66,86,30,38,27,41,12,55,82,38,54,24,16,3,66,61,38,55,44,1,68,33,53,76,0,71,50,14,81,66,72,18,19,24,44,56,63,86,11,86,80,67,27,21,45,42,81,17,33,75,61,35,14,10,9,47,82}

{51,80,15,32,10,23,71,80,59,76,27,49,43,36,28,10,2,78,12,32,39,70,44,43,14,31,11,9,46,48,87,57,15,9,56,3,43,22,43,62,19,51,84,50,13,65,78,24,36,16,7,86,16,53,47,40,22,30,9,28,11,28,52,52,12,65,67,26,81,51,27,39,59,63,44,77,82,73,44,54,3,64,85,52,78,58,50,14,58,56,7,64,61,42,6,46,71,9,4,47,52,4,69,67,83,7}

{42455528,1816080,244631562,88199738,602024173,14761950,169332072,129352272,9383150,33286407,215256356,231775110,301009895,45132220,156914739,324676729,325882282,184811802,144220672,103156550,32973246,426064611,65269233,207213361,19049970,205783981,12141080,9006608,276273074,154838856,154599241,13133350,305277126,456952432,71011416,26606216,56326200,4641882,232546740,11513590,19729155,178124484,67396050,198278361,28826275,156404626,293013886,14151998,161690340,1678118,61934600,65202725,1464344,193898268,432598045,240948736,811242327,195877515,37331504,529982007,839710,2952546,192872820,184168140,129936896,17553592,388956718,7852950,71187981,146268540,6143412,32973246,37521561,69199677,375685128,5430990,31504470,462267276,476606754,538660473,212627268,17149290,26730982,129685860,180777228,186690501,114326275,1418730,322934325,20166384,210219464,165093620,2,236925,71409,610344174,77976808,5848656,271540724,213520670,30501060,98098140,339341226,113476816,73591320,260483496}

Returns: "Solution exists"
94

"GGLGLGGGGGGGGGGGGGGGGGGGGGLGLGGGLGGGGGGGGGGGGGGGGGGGGGGLGGGGGGLGGGGGGGGGLGGGGGLGGGGGGGGGGGGGGGGGGGG"

{58,68,65,53,69,66,11,42,50,39,2,43,92,31,46,66,27,62,7,15,6,13,92,71,22,13,48,93,71,19,38,88,61,9,13,11,54,27,31,24,54,74,8,47,48,38,69,27,87,48,49,47,52,61,64,75,7,54,51,80,38,33,65,29,2,62,41,68,47,48,83,89,21,57,15,2,64,20,55,39,22,8,53,69,74,49,93,84,35,9,48,22,41,13,66,78,21,88,88}

{50,88,57,42,44,28,67,78,87,23,41,31,55,20,45,82,3,52,31,31,50,71,93,76,62,60,75,5,82,41,89,89,8,20,78,17,69,5,5,9,48,28,26,8,50,73,49,70,21,5,40,91,45,49,54,2,46,67,18,12,27,90,77,46,55,88,77,83,15,91,14,76,61,89,55,1,24,44,44,69,66,50,33,39,42,9,55,79,37,79,53,72,85,56,19,81,67,78,17}

{1,1,31296790,2,6609252,1,1,2,1,2,1,1,60,1,1,1,1,1,1,1,5,1,3,4,1,3,436261488,1,456878620,1,12,2,19569720,1,1,1,4,1,1,36,3,1,1,1,1,16,4,1,1,1,1,1,1,1,2,33656272,2,6,5,1,3,2,19675045,1,1,1,1,1,1,3,2,4,369716935,2,1,1,2,1,253500,2,1,1,2,2,1,4,3,1,2,1,1,1,5,3,2,2,1,2,1}

Returns: "Solution exists"
16

"GGGGLLGGGLGLGGGGGGGGGGGGGGGGGGGGLGGGGLGLGGGGGGGLGGGL"

{4,15,9,12,4,3,5,0,13,9,6,13,7,11,5,14,3,6,10,1,6,10,12,3,1,10,7,7,0,10,13,8,9,14,6,1,9,15,14,1,10,3,7,8,15,7,4,13,4,0,4,2}

{9,1,0,10,5,6,3,4,8,12,0,0,8,3,11,1,4,5,15,6,2,6,7,5,2,1,0,1,15,6,5,11,15,12,14,0,1,9,8,14,13,6,9,5,1,5,6,12,3,12,13,0}

{8,1,2,1,48200760,64478790,5,2,1,123857648,2,239216694,1,5,5,1,1,5,1,5,2,9,1,5,1,1,1,1,2,9,1,5,21044176,31,2,1,1,21044176,1,502973450,3,5,1,5,1,1,18,229483731,1,1,3,70348286}

Returns: "Solution exists"
91

"GGLGGGLGGGGLGLLGGLLLLLGGLLLLGLLLLGGGLGLGLLGGLGLGLLLLLLLLLLLLLGLGLGGGLLLGGGGLLLLLLGLLLLLLLLLGLLLLGLLLLGLGLLLLLLLLLLGLLGGLLGLLLLLLLGGLGGGLLGGLLLGGLGLGGGGLGLGLGLGGLGLGGGLGGGGGLLLGGLG"

{69,38,0,43,43,36,62,42,78,65,9,62,62,13,20,87,40,12,11,52,29,26,31,46,83,13,21,74,13,55,0,12,52,71,47,47,18,45,51,32,80,0,47,65,78,76,68,27,83,77,52,6,75,27,31,71,39,82,42,77,24,11,22,10,22,21,27,58,51,12,29,63,81,47,14,67,1,8,67,47,40,11,82,30,67,71,46,20,12,22,6,24,25,60,68,57,41,90,4,42,82,44,47,73,67,43,52,70,30,59,2,48,58,74,26,10,81,82,30,26,90,31,38,2,18,6,56,15,9,78,53,21,39,27,26,36,12,56,83,10,58,29,2,25,42,21,59,27,19,26,32,30,0,31,20,25,38,27,38,9,16,41,13,78,61,53,57,3,34,19,2,5,35,27,66,82,2,50,82}

{34,52,53,28,83,10,39,64,76,19,26,30,22,89,80,70,61,15,4,20,16,51,90,14,70,89,29,27,62,80,77,66,14,19,8,24,22,44,12,72,38,89,78,54,23,56,14,70,61,24,62,42,68,74,20,74,20,74,85,64,36,30,72,12,52,41,62,77,87,70,86,89,46,19,59,45,87,82,62,58,76,10,42,84,73,5,42,44,1,44,71,66,54,82,74,40,9,47,60,30,12,2,72,87,70,19,26,58,47,87,21,16,40,23,62,24,64,85,82,36,58,63,57,82,23,77,52,69,8,77,69,1,16,54,28,85,69,57,23,15,79,8,14,9,28,24,70,2,47,62,1,80,75,73,55,66,3,80,31,11,14,5,5,28,14,66,15,67,4,70,11,35,26,71,32,0,12,0,48}

{1,4,95623647,1,1,1,11355744,1,2,5,1,157406658,2,1783236,386268550,1,6,25880356,221631795,167196572,29691942,211246212,1,1,26880015,1783236,71159907,161561911,1,202135025,247255617,8669662,272506092,1,1,2,43914400,1,158459297,1,42767200,15647268,2,1,15429246,2,26001873,1,275790,262091332,121436516,14361435,2020941,161561911,71135726,30510107,15634848,73587215,93363325,68263188,271077796,3,375726440,1,152486296,1,1,1,75564746,218143617,297528,2,2,10,1,111509511,73822690,332002645,80035366,89503050,286700772,1,72423065,80371356,105502579,100545524,764655430,109174858,154806205,199138888,13756095,2,4120732,8899280,38451951,133567716,1,74014850,16369584,428407485,166382905,1,13235950,1,131957979,30872970,101224644,111200163,69628650,172874522,284576487,106007522,163426668,129464573,2,131704396,1726536,5,1,335191956,319988157,2,42014560,174894135,309495200,48475935,16079772,4130636,173893925,1,1,253300645,2,7,2,325946225,26407739,1,1,19107964,545673540,86780127,3,1,526809910,1,477955497,1,10,2,1,417389325,3,136213714,1,882266,8,774582725,2,5,101353062,4,363392484,2,3,1,10782308,1,1,3,3,4,54444900,152303837,3234526,1,1,182534016,1}

Returns: "Solution exists"
26

"GLGGLGLGLGGLLLLLLLLLLGLLLLGGLGLLLGLLGLGLLLLLGLGLLGGLLLLGLLLGLLLGGLLLLGGLLLLLGGGLLLGLGGLGGGGLGLLLGLGLLGLLLGLGLLLGLLLLLLLLLLLLGLLLLL"

{17,0,19,8,24,5,11,0,10,5,8,25,3,8,20,18,7,15,8,22,11,6,22,25,3,9,12,7,4,16,16,21,2,1,13,5,10,6,23,18,21,9,24,7,18,16,14,6,14,19,19,18,5,23,21,16,1,10,4,2,4,4,8,9,20,22,7,24,14,20,13,4,24,13,14,9,11,23,1,21,14,23,8,21,11,1,25,24,3,24,3,11,6,0,4,12,17,1,3,8,7,5,14,5,19,22,17,13,19,16,10,14,23,11,18,9,17,5,22,20,14,3,12,10,25,8,19,25,6,24}

{8,8,9,4,0,1,21,13,0,9,19,18,4,24,13,4,16,4,17,2,22,12,5,18,15,7,24,11,10,17,14,22,15,9,4,4,7,24,20,25,19,12,7,16,13,20,15,15,6,11,12,12,19,16,10,15,14,2,19,16,1,14,1,7,22,21,18,13,22,5,9,0,3,21,10,15,17,9,9,25,13,4,14,19,19,21,3,8,18,22,23,2,13,12,19,25,9,13,4,19,18,16,8,18,23,15,5,6,5,21,4,4,21,24,3,2,9,19,20,19,23,4,3,20,2,24,5,5,21,22}

{5,64491600,5,1,46098480,1,166276626,5,462160880,1,25,136071988,46090880,53319300,215178935,173285996,550410,139686792,73322400,28194784,185429778,1,4305058,136071988,18775680,66127830,1,3,627752548,10,522690,223082306,6742176,1,739418180,5054284,1,136220052,1,136071988,189268925,14978210,25067244,550410,1,1600410,1,303888648,354508270,1,1,3626116,3652525,1061970,239733971,42,132402355,60598688,495607900,2,278614132,325909660,177937275,1,1,223082306,208117884,270039540,14610430,1,5,126226160,16832640,282378235,298319095,89717880,2,1,1,205660564,70276915,132432716,5,189268925,1,1,36192640,3,4,2,1,21015264,1,34337680,495607900,36624484,10,300392165,4,12660825,208117884,1,41628525,5108324,95703725,2,4230560,1,3652525,2100210,627752548,1,50575057,26501844,46583680,10630240,18434720,3652525,169994026,144227425,62934365,46090880,12538240,182682991,4,53319300,3652525,3968852,284888486,106667292}

Returns: "Solution exists"
176

"LGG"

{6,53,155}

{129,87,113}

{154430060,1,1}

Returns: "Solution exists"
33

"LGLGLLLGLGGGGGGGGGGLLGGGGGGGLLLGLLGLLGLGGGLGGGGGLLGGLGLLGLLGLGGGLGGGLLGLLLGLGGGGLLGGLLGGGGGLGGGLLGGLLGGLGGGGGGLGGGLGLGGLGGLGGG"

{7,7,31,12,17,13,11,6,27,15,18,23,29,20,12,5,22,20,32,12,15,30,19,15,26,30,21,23,17,31,6,28,4,29,0,14,29,31,6,26,28,8,32,28,30,31,7,26,8,31,23,28,11,14,4,6,28,29,24,1,15,3,16,2,9,18,30,0,23,16,13,24,27,23,15,14,29,0,5,6,29,27,17,11,23,32,19,23,28,12,4,32,14,12,24,15,6,28,4,9,23,6,26,17,10,31,11,9,6,29,4,24,32,15,12,14,22,11,8,28,23,6,3,2,25,24}

{4,2,12,5,0,11,16,1,28,7,5,30,5,23,4,18,7,21,30,21,7,15,12,10,25,25,25,19,30,11,8,29,32,25,13,31,22,13,9,13,29,13,24,10,23,2,24,24,9,4,19,27,20,21,13,22,14,7,10,14,9,0,13,8,6,21,9,10,5,5,8,2,8,10,10,11,32,23,9,22,16,20,3,25,21,0,5,2,9,8,7,1,21,6,28,13,27,4,17,23,21,15,14,14,17,11,15,11,29,5,27,31,4,25,15,29,16,6,31,10,27,29,20,3,15,0}

{57400,5,17211600,3,175033586,277662070,267136638,1,276451690,2,1,4,1,1,8,1,1,1,1,119170800,122792950,2,1,1,49,4,2,1,361992124,46767742,8505345,1,773752,75967444,7,106640205,48757191,7,1307737,7,1,5,70486920,5,4,1,10,1,13169865,1568168,1,1,12217718,3,9310280,1701069,5,53999050,43176600,3,24353222,14,1,15,1307737,3,1,1,10499972,53061387,5,17001720,120148410,39043900,1,218187510,7,14,1,1,719346369,16214518,2,2,76666548,4392458,1,1,1,15,82,828009,1,1,5,485780890,11930458,1,2,7689892,76666548,1,1,599067690,1,1,2,1,1,1,2129048,1,1,2,215636400,1,16849653,1,1,30771275,2,1,839328,3,2,2}

Returns: "Solution does not exist"
76

"GLGGGGLLGGLLLGGLGGGGGGLGGLGGGGGGGGGGGGGGGGGGGGGGLGGLGGLGGLGLGLLGGGGGGGGGLGGL"

{0,27,12,75,10,38,17,39,39,20,13,64,19,1,4,35,3,38,27,5,19,51,20,2,40,39,68,59,24,15,24,1,56,10,22,34,73,4,72,58,7,36,7,4,0,36,29,0,47,22,43,29,10,63,20,36,12,9,35,40,44,17,32,5,57,69,69,75,27,26,16,47,62,33,55,65}

{67,53,34,25,48,1,21,59,58,10,29,72,42,4,57,58,54,9,60,13,68,41,59,25,34,43,42,71,37,73,49,18,28,44,58,6,4,13,39,69,48,13,32,49,48,19,27,37,70,27,11,62,34,43,74,53,22,51,25,55,49,22,16,73,30,74,42,1,10,70,31,73,10,13,36,6}

{1,37373499,2,6,1,4,8696520,15041754,1,1,187241340,343025010,7644780,4,1,153981080,1,4,1,12,1,1,442962,6,1,170773190,4,39,1,1,1,1,1,1,4,2,4,4,1,2,2,2,27,4,7,1,3,1,2518762,1,2,12293160,1,2,65558376,1,2,49963308,2,56738266,4,26365640,150058062,76,1,2,2,2,1,1,1,1,3542424,1,2,1510190}

Returns: "Solution exists"
92

"LLLGLGLLLGLLGLLLLLLLLLLLLLLLLLLLLGLLLLLLLLLLLLLLLLGLGLGLLGLLLLLLLLLLLLLGLLLLLLLLLLGLLLLLLGLLLLLLLLGLLGLLLLLLLLLLLGLGLLLLGLLLLGLLGLLLLLGLLGLLLLLGLLLGGLLLLLGLLLGLLLLLLLGLLLLLLGLLLGLGLGLLLLLLLLLLLLLGLLL"

{86,85,84,64,80,91,36,33,3,78,79,12,0,89,83,9,91,7,69,64,58,45,2,24,33,48,63,3,11,81,9,91,7,35,60,4,32,85,83,39,58,77,19,66,72,51,23,28,5,8,87,78,19,45,5,14,3,52,29,51,25,79,79,60,33,80,86,24,18,47,25,36,56,71,47,41,42,41,61,64,6,37,53,55,21,87,81,46,86,46,1,43,34,7,46,26,49,32,72,48,59,57,61,84,89,11,62,83,29,80,6,81,48,15,57,12,75,37,19,41,0,27,86,32,66,91,40,4,44,27,91,89,52,25,12,88,55,90,9,85,90,39,33,78,19,90,19,16,58,36,1,90,70,38,20,66,49,74,87,25,8,0,10,21,87,65,40,86,31,6,51,62,53,77,78,8,15,36,27,11,52,14,79,19,33,62,35,48,62,25,29,6,86,16,14,28,86,51,13}

{33,9,5,60,53,59,85,88,4,85,19,45,60,56,68,35,85,0,44,75,42,69,47,45,49,19,2,82,88,74,16,2,39,12,19,20,76,71,20,9,4,48,68,56,62,23,68,12,54,62,54,74,26,66,88,83,2,31,46,65,8,53,87,4,15,15,20,51,65,72,41,3,24,60,89,63,32,35,33,34,2,89,52,33,60,22,89,49,29,23,9,63,90,12,67,77,17,15,21,16,78,22,20,38,80,29,63,39,81,67,1,31,68,37,63,63,14,59,20,36,40,38,25,2,64,64,12,34,33,20,24,40,36,38,36,73,50,26,51,7,65,18,55,90,5,80,58,44,6,62,80,24,26,18,57,75,55,77,13,27,51,90,57,84,26,25,24,84,36,33,86,69,76,86,11,41,5,44,44,53,3,54,54,31,28,10,24,5,32,8,18,33,50,63,70,55,44,68,70}

{168444770,3910725,180932180,1,2691381,2,3316131,437494558,827112,9,10508816,6240269,1,146253660,541856900,33453650,23384088,6328959,39591420,301494242,10395242,846491052,65206050,35975007,293347914,19039792,371313150,1770912,257487151,31299753,44135325,473249400,141938160,31,19082672,19898888,2276208,606060,282093572,5118800,40570904,159618107,21252400,19235314,4696695,172938,180447150,4552660,37791156,710955,4,23054049,4,54235702,1,91808188,364650,1,304932969,1237052,16673643,123576618,117322304,34320328,171882942,817278,135514730,974529,14309468,100966110,112173346,1,25517898,13172740,28206780,175654082,1173744,54934046,637011166,540304330,320958300,37785900,3,588979390,396392668,10232640,34401660,554569098,165083490,1,8060200,21998764,68657200,820911,652987772,25343340,170488896,964656,1,164164923,69580926,5,512478934,2872870,67354980,189864873,61493490,36624880,30162627,126462028,8171608,7194601,352111825,2,76502830,1,86951074,172935050,11064112,63496418,1,15974686,93918890,2386800,21966242,2,2478791,44719960,1,258830038,35718552,163805820,45113958,9112922,1,336893658,108829655,20,3719725,79443,5875600,48298960,588979390,1,1654096,69515600,22558096,3,1,11114505,7928536,18514800,64411620,11480014,1,24410498,524889030,117253389,2,89691467,1815849,3537200,59253665,652786420,8437440,11358964,1,5921630,12142951,248420756,10228270,26933940,3019137,1,80050401,36554742,41346228,1,50594865,1,1593306,1,240095076,3214928,269152420,47628495,8764506,109620892,131760,16673643,226590606,248420756,62249330,207061686,76722919,5,10595910,15443675,570248406}

Returns: "Solution exists"
122

"GGGLLGLGGGLGGG"

{61,104,101,23,109,23,100,8,27,87,41,6,34,76}

{60,70,105,107,37,12,58,18,90,84,39,1,75,120}

{3,1,1,351593193,116171,3,753395254,1,2,10,72023348,2,1,1}

Returns: "Solution exists"
105

"LLLGLLGGLLLLLLLLLGLLGLGLLGLLGLLLGLLGLGLLLLGGGGLLLGLLLLGLLGGLLLLLLLLGGLGLLLGLGGLGLLGGLLLLLLLLLLGLLGLLGGLLLLLLGGLLGLGGGGLLGGGLGLLLLGLGLLLLGLL"

{6,77,32,12,75,19,6,90,68,47,87,55,18,65,32,20,54,72,61,67,28,21,98,92,101,15,16,61,10,31,17,38,51,12,37,63,48,39,58,8,5,27,59,51,65,64,97,60,77,80,5,94,96,51,74,21,88,87,42,81,79,47,25,64,14,52,23,96,97,70,7,92,78,92,35,96,42,73,37,92,16,51,24,31,37,91,100,13,30,10,91,23,62,36,60,65,58,20,59,44,82,35,46,85,79,2,72,8,54,29,53,45,44,52,61,80,31,6,33,42,39,96,12,56,41,67,85,3,22,50,79,50,55,31,30,23,13,88,100}

{64,82,96,25,45,62,54,39,45,41,10,45,67,26,17,3,49,53,73,68,3,79,34,79,80,89,45,70,91,39,28,74,63,95,20,21,13,53,97,32,54,3,3,24,51,28,16,98,27,37,29,38,101,1,83,92,66,93,8,95,25,78,6,92,53,44,92,29,13,75,48,21,70,90,34,47,65,11,24,20,62,86,84,1,3,42,8,11,52,0,14,26,63,0,64,104,39,26,17,5,51,47,74,38,52,10,43,63,90,53,9,96,83,60,91,90,47,20,3,69,38,43,49,15,86,85,14,15,76,89,103,73,0,85,83,77,36,92,36}

{362224821,88331562,91052517,1,13680634,25333893,1,1,143934307,64464400,370897423,122130437,4695693,34307325,1909461,26969259,708710502,1,80939540,54566439,1,29220820,1,1842620,13609545,1,67562742,185330530,1,14991810,540492,93478155,32,66332640,219134982,4,369618566,1,53306376,148170686,307451661,23507753,1,2,1,3,135867546,74816560,194091978,3,267850264,156056214,60350097,447392,17,19349980,100011765,1,1,1792480,16950985,62655450,166755883,97530420,366236752,12770415,1200420,1,1,17195318,2,19349980,71630286,38744420,1,66051975,1,1,86071590,1,195563898,28033504,6,2,26213286,31849702,202585474,352992439,7465437,161191953,74891642,17082900,351744992,18128979,1,316327960,2383496,3,407121,224011865,1,1,8384910,241675230,8342145,180209718,3135825,234653152,1,8,389844944,60078579,1,15387120,2,1,5,1,4164592,216623828,1,3,1,2156730,1,19650810,202391630,3338103,158808832,2,34853120,2,234813969,11379630,26301771,26353836,1,25277980,19538519}

Returns: "Solution does not exist"
107

"LLLLLLLLLLLLLLLLLLLGLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL"

{2,31,52,29,69,0,41,59,83,76,50,18,62,65,16,66,48,9,80,2,41,7,82,40,16,2,86,36,99,8,14,90,90,62,91,14,104,84,92,41,105,50,35,106,29,43,78,24,74,71,10,86,73,42,12,92,83,8,28,68,94,77,65,34,21,89,65,91,29,85,31,27,12,26,103,89,84,6,44,102,101,15,47,15,89}

{51,93,20,82,13,75,17,32,45,53,78,14,104,52,43,27,77,68,58,87,53,32,103,74,80,4,59,82,10,5,103,53,106,75,90,51,51,73,85,74,17,97,106,29,19,84,39,45,50,77,19,91,44,41,20,101,41,36,32,45,54,14,82,96,48,72,38,59,60,58,30,101,39,62,41,9,24,12,3,5,36,96,22,56,97}

{451428255,8715000,358773030,365190,45159516,18351956,167640,145367892,375433838,23107380,90135108,69004040,37242450,149324821,177993010,140831240,3481912,52592288,63409317,1,896620,712252467,76842710,186501006,258291690,258501310,118880508,17091410,9485073,35406800,98026376,15544708,34381107,7315700,46105692,90367704,15398613,7129980,28384122,26586180,5030520,3107250,16651836,1467810,39278370,19601010,18644892,137000501,28909854,78423786,596446227,31841364,1773908,566420,2349270,6022822,20175220,34314800,92514447,652790726,31982717,2117864,22411270,33986706,339112,712851546,231614851,5456964,12883170,23391993,1758750,676661128,36605898,52251150,75359260,341010208,6782490,83377728,46033553,21468777,192934963,269443902,156444822,276649359,9594750}

Returns: "Solution exists"
142

"LLLGGLLLLLGGLGLLLLLGLGLGGLGLGGGGLGLLLLGLGLLLGGLLGGLGLLLGLGLGLGGLLGGGLLGGLLGGLGGLLGLLLLLGLLLGLLGLLLGLLLGLLGLGLLGGLGLGLLLLGLGLGLLLGLGGGLGLLLLLLLGGGLGGGGGGLLLL"

{141,121,62,132,89,11,107,54,34,139,3,76,68,5,74,8,82,109,6,30,125,126,87,49,132,3,8,134,109,29,133,59,49,133,90,92,5,119,82,91,115,84,93,39,81,1,59,103,21,7,43,21,53,64,127,70,135,52,134,62,70,111,101,9,114,73,106,101,44,30,41,66,108,119,121,25,0,138,88,39,79,78,103,105,106,139,43,38,42,34,57,138,136,44,31,134,114,123,105,105,135,20,105,12,72,62,96,128,86,25,115,72,41,87,23,94,70,43,55,41,97,64,75,54,97,131,68,30,74,50,97,61,123,45,29,139,80,107,24,60,44,129,9,104,32,13,68,35,21,48,64,76,111,79,15,102}

{21,30,138,45,102,115,99,129,122,68,52,59,51,17,136,9,112,73,130,128,21,25,125,21,61,61,118,29,140,52,90,99,113,129,139,36,105,36,137,117,89,127,121,37,54,68,88,74,61,101,34,62,54,100,52,24,53,11,124,10,121,69,74,21,11,52,127,124,114,53,39,102,30,51,110,94,82,54,97,104,119,22,117,96,102,73,118,100,101,26,115,24,113,36,14,26,111,75,102,61,18,104,29,49,33,17,43,34,14,33,137,63,127,1,45,52,137,30,4,65,99,138,63,68,59,2,40,129,117,39,138,74,12,18,107,131,48,97,30,123,1,69,113,80,102,20,120,87,83,40,17,38,105,37,108,95}

{518345687,9183390,22714500,1,4,19303527,22512402,825300,99962100,1159574,1,1,222131598,2,341770280,18374330,83652813,386760909,15195222,2,38238466,1,4480728,1,1,140736652,2,135451400,1,1,2,1,97604310,7,8446,69820377,41054508,260283804,1,343800255,1,179167286,84750330,40041170,3,1,11730180,206628520,1,5,890028,797,2617380,314970201,270816218,7,2252745,1,57656900,2,273415170,1,5,120507994,15429252,1,1,1,50230120,6903090,2,1,453012690,538498452,6,1,7414947,60,6,249509910,3547960,1,266063637,156436236,33782112,4404486,6382956,1,1783320,371952,286873946,4,481417305,95751480,2,86800,90754420,60147832,36,95203548,328799295,66743010,4,78935784,9889845,4,7386348,2,4389190,40188505,1,1,324541454,1,332930710,1,574624463,2777820,79867665,255563810,6,33715500,1,132731820,1,29101824,26107302,2176650,1,1930994,6,4,1,223022966,1,448256,29981058,3037914,41501460,148768797,73783960,2507400,1,3,3,61158150,2,24,1,1,1,1,77221980,424840,376658308,174676320}

Returns: "Solution exists"
194

"GLGLLGLLLLLLLGLGLLLLGLLLLGGGGLLGLLLGLGLLLLLLGLGGLLGLLLLLLGGLLLLLLGGLLLGLLLLLLGLLLLLLLGLLLLLLLLLLLLLLLLLLLLGLLLLGLLLLLLLLGLGLLLLGLLLLLGLLGGLLLLLLLLGLLL"

{163,77,104,11,69,164,94,111,15,193,35,56,85,119,173,31,52,89,51,136,74,79,117,106,180,104,61,110,135,82,54,68,115,192,139,74,16,94,156,28,172,46,10,24,86,100,111,2,43,117,130,168,111,181,115,83,2,190,88,44,40,136,175,60,70,179,94,82,74,136,69,178,4,140,153,183,141,142,106,31,182,119,154,124,132,159,106,192,94,159,12,154,39,21,163,144,52,164,148,90,126,19,14,115,7,42,187,169,0,116,92,128,34,134,101,183,118,54,28,44,2,182,12,112,68,112,9,90,139,136,82,12,160,94,129,127,114,103,20,92,137,162,60,16,171,120,140,167,135,87}

{34,162,17,160,22,74,153,40,173,167,173,144,36,45,90,2,43,163,38,140,24,93,80,47,150,75,164,124,165,62,37,63,61,58,27,27,179,42,185,162,32,184,170,18,127,65,70,176,134,171,77,147,2,80,101,72,40,160,44,21,98,31,40,59,17,170,175,18,96,45,146,92,25,158,17,150,132,140,11,163,70,15,20,35,48,65,27,118,2,40,35,34,155,106,147,25,192,131,95,95,119,43,35,103,15,111,170,104,174,172,181,64,192,60,24,175,92,112,176,104,0,7,111,124,167,51,81,165,150,101,168,111,150,190,65,132,72,46,49,177,165,153,112,46,64,52,127,89,165,149}

{1,30562026,1,3282147,377400,1,291343774,198062714,120262860,102271790,368044344,98274759,8932812,1,164682990,1,235430036,82794175,848476,1567092,1,80695546,31377260,336849714,41598600,1,1,1,1,44070464,72353673,3,28362402,59513400,239311242,1,13529568,1,75997995,23467582,182676235,24449642,49269726,556540830,2,578409524,2,1,66592036,155540395,2,263013504,455220370,31206468,101777886,380463354,368313605,1,1,162540,264990847,109847635,115905804,36147984,13467944,3,1,53818542,252743278,2678900,1,72102522,2903722,27314778,128028376,235315400,10666650,1,335902842,165857326,43272276,400598340,117903716,33266488,2044775,1,784246734,70234155,609918485,5924412,308314120,10981496,5248635,1420308,390317798,541068133,281145195,8406644,13728,7194720,271014451,32009356,84905560,171925758,214533180,5554330,2,318314810,2050560,99989519,34329819,2,55953720,24517353,602536515,262749732,38473467,79199015,57074814,57959055,1,125687907,1,8991815,162986685,162611855,719091966,5,98719800,4468044,50817408,187204390,23181400,1,19047809,44192950,1,1,34833225,204706875,160518660,121426826,29858955,5208416,28922848,385293264,1,15725525,32551780,84582663}

Returns: "Solution does not exist"
171

"GLGLGGGGGGLLGLGGGGLGGGGGGLGLGGGGLGGLGGLLGLGGGLGGLLGGGLGLGLLLGGGLGGLGGLLLGGGGGLGGLLLGGGLLLGLGGGLGLLLGLGLGGGGGGGGGGLLGLLLLLLGLGLGGLLLGLLGLLGLLGG"

{64,158,21,106,38,2,124,28,9,101,36,51,155,43,80,9,80,100,83,9,135,121,4,82,151,136,163,93,85,93,23,94,49,165,157,142,122,156,135,38,131,40,92,20,163,101,23,35,131,98,79,119,45,54,104,87,39,120,98,105,86,142,129,88,6,160,149,147,147,106,22,50,52,92,131,142,64,43,129,12,82,120,43,53,42,47,79,39,109,136,78,122,73,72,43,134,131,44,128,37,134,99,150,72,38,49,137,153,19,27,70,151,112,15,62,153,83,139,163,132,65,83,77,41,109,142,19,84,138,62,35,154,144,53,65,78,150,22,35,64,105,114}

{42,20,120,42,117,55,161,31,106,151,162,11,5,29,95,120,52,9,35,138,150,46,34,131,89,127,29,106,53,60,21,142,125,106,150,84,2,93,112,9,3,33,106,140,46,70,100,83,111,108,5,113,104,125,8,133,127,123,29,38,73,98,11,83,159,59,109,17,3,170,58,128,60,123,8,99,106,149,141,17,62,112,32,157,40,25,95,157,40,10,91,45,14,53,44,27,80,106,8,64,94,157,31,31,114,102,61,158,141,25,23,74,130,3,14,27,44,70,168,153,154,150,92,32,104,38,54,32,101,24,20,161,129,147,129,32,43,9,128,91,9,40}

{24,96050966,2,9323832,1,2,1,2,1,2,60737060,102570,1,192050601,1,1,1,1,93570535,1,1,1,3,1,4,90426000,3,25994508,1,1,3,1,31778362,2,86,223649327,2,6,31824788,197286453,1,214346619,1,1,438,311176430,3,1,563596432,1426805,1,10,6,48633872,1,68426933,1,90381536,55821705,19212858,1,1,2,59361859,1,6,90081600,1,1,10210068,466271775,14012505,1,1,1,1,4,215111950,2,1,12291848,56444768,16153054,1,3,1,51532404,268320,32711616,10,48690194,2,1,1,232691595,1,549860129,36209820,282494637,3,53498299,2,117444352,1,1,1,2,1,1,4,1,1,4,111645292,559430,1,89882385,750039315,252043596,217141830,35938188,84705958,1,3930054,12,104917617,1,1,85605370,31830266,81235355,1,18080818,392524650,2,2425906,219290626,1,273465765,96283632,1,1}

Returns: "Solution exists"
40

"LLGLGGGLLLLLLGGLGGLLLLGLLLGLLLLLGLGLLLLLLL"

{9,7,21,15,14,11,36,38,35,35,0,12,27,11,4,30,21,12,34,2,13,9,3,26,8,38,4,8,32,14,37,31,37,28,2,5,16,18,35,5,14,22}

{38,18,13,20,23,9,9,13,2,3,21,39,14,24,11,19,16,30,5,17,12,0,23,15,7,39,21,30,13,2,10,39,28,3,22,4,2,13,2,29,1,39}

{1542540,11506770,1,127593638,1,3,5,2910804,93920481,19121724,400588209,127810618,598401,1,63,21088150,1,2,437775851,289119351,130439114,148526910,4,59135906,166387185,2852148,1,427895662,124617506,10697541,9836750,111911410,14,67269636,1,213949008,307139082,100484670,93920481,112966513,15403884,47525686}

Returns: "Solution exists"
32

"GLGGGLLLLGGGGGGGLGLGG"

{18,19,8,25,4,0,14,17,2,8,17,17,2,17,22,21,13,30,12,1,30}

{16,15,2,29,28,21,21,30,5,13,8,2,27,24,0,10,15,29,30,20,2}

{1,227625825,1,1,2,529083248,26565424,2337296,10272216,1,1,136,2,16,1,1,26963475,2,39437904,1,8}

Returns: "Solution exists"
84

"GGGGGGGGGGGGGGGGGGGGGGGGGGLGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG"

{19,30,37,50,65,38,35,58,18,52,41,74,11,0,79,43,66,42,57,66,82,57,52,34,61,20,3,74,43,41,49,50,42,40,34,49,5,26,70,1,65,43,17,6,56,53,80,0,20,70,27,71,36,80,36,68,26,39,75,6,66,52,30,65,81,8,67,22,12,66,43,79,34,1,58,9,48,4,18,81,20,43,81,60,76,74,18,77,7,57,19,58,63,14,58,18,74,80,5,72,47,19,28,27,60,3,26,50,67,38,25,0,76,13,23,21,16,56,55,53,40,1,49,35}

{75,23,75,13,11,18,50,70,28,32,57,9,67,1,72,61,22,48,72,34,13,65,20,46,2,64,29,64,55,74,18,69,24,46,63,12,73,17,12,8,9,62,9,12,75,0,60,18,12,25,10,83,29,38,62,7,31,35,55,28,17,51,40,40,41,67,41,55,49,49,64,33,55,17,46,76,64,5,60,32,52,61,75,49,10,6,83,16,26,71,39,17,51,18,44,75,55,22,80,75,54,73,43,57,63,67,68,47,42,61,14,68,59,39,60,27,7,21,40,68,8,51,34,19}

{2,1,1,1,1,12,5,2,9,2,5,1,14,1,2,1,1,1,1,1,1,1,10,3,1,2,424125825,1,4,1,3,1,1,3,1,3,1,1,1,1,1,8,1,3,6,1,4,1,5,1,1,2,1,4,2,1,2,1,2,9,1,1,1,1,1,1,1,1,3,1,2,1,1,1,3,1,1,1,4,1,10,1,1,1,1,1,4,3,1,1,2,3,1,2,6,18,1,1,2,6,1,1,1,1,17,1,1,1,11,15,1,1,1,11,2,1,1,1,1,1,3,1,3,1}

Returns: "Solution exists"
112

"GLLLLLLLLLGGLLGGLGLGLLGGGGLLGLLLGLLLGLGGLLLGLGLGGLLGLLGLGLGGLGGGLGGLGLLGGLGLGLGLGLGGGGGLLLLGLLLGGGLLLGLLLLLGGGLLLGGLLGLLLLLLLGLLLGG"

{20,3,3,77,81,109,18,43,83,15,3,17,60,70,51,89,95,36,68,78,79,89,95,73,105,95,91,76,95,43,30,61,22,18,85,37,82,57,31,25,17,82,46,39,22,35,65,36,103,87,44,101,26,26,89,92,43,81,52,69,33,82,80,37,96,94,29,81,34,10,64,87,66,36,56,69,2,110,95,55,62,4,107,23,29,30,24,36,101,102,84,50,85,43,91,82,94,71,20,82,2,13,75,39,47,102,33,42,14,108,82,32,39,24,85,29,72,25,73,91,54,6,30,55,3,21,3,12,65,60,31}

{93,101,102,37,111,44,66,108,60,9,39,78,111,83,84,15,43,39,93,28,57,4,10,45,4,71,18,29,18,72,7,86,85,37,5,49,99,61,7,12,3,63,74,12,24,85,102,6,17,59,25,25,49,69,69,78,60,33,108,35,51,33,17,66,31,1,50,4,22,86,103,6,24,82,105,110,21,71,86,69,52,75,13,80,105,90,43,33,2,65,101,46,7,57,87,48,18,1,108,110,76,63,29,107,42,8,30,94,7,61,54,97,67,89,79,44,28,57,47,67,91,108,5,45,33,28,71,87,3,59,43}

{1,2113408,188514656,36993888,76950,79506112,6408796,7549822,558164252,11498928,4,4,10518660,132642452,3,3,47770002,1,200669820,2,509757708,202713798,9,12,1,1,14836148,137321170,1,64243802,360162,122058804,1,34778336,15643855,10290656,10,527073204,6,3,4527776,174765600,8089119,1,357435234,1,603117239,1,1,181255510,67517478,2,5933224,19068676,1,160543340,2,27619350,2,1,14158551,1,1,4,5547516,2,2,7266550,1,511990812,8704293,1,34,80327200,1,60825083,1,45805852,1,471325756,106,30917258,1,1,1,2,2,94167447,123457408,603117239,153105792,1,55138446,87845534,108255380,1,2,2,127663018,60437600,95291245,9,35557474,83538712,112209800,619550260,6221622,2,102,14,301791200,78564141,11503836,3,1,212201234,178788998,1,28928100,9737388,151333684,6392358,2248070,52346448,17676384,2,31426912,14232675,143103136,2,2}

Returns: "Solution exists"
200

"GLLLGLGLLLGLGLL"

{91,183,150,8,136,114,76,16,54,157,124,133,1,187,184}

{24,157,139,178,184,172,167,112,141,64,22,118,136,125,88}

{2,29737047,645452923,2271931,13419722,61246248,21,470041078,89014317,2371554,1,1,2,394010095,409457201}

Returns: "Solution does not exist"
132

"GGL"

{81,35,105}

{118,40,125}

{4,1,5497184}

Returns: "Solution exists"
165

"LGGGGGGLLGLGGGGGGGGGGGGLLLLLGGGLGGGLGLGGGGGLGLLGGGGGGGLGLGGGLLLLGGLLGGGGGGGLLLLGGLLGGGLGGLLGLGLLGGLLLLGGGGLGGGLGGGG"

{78,48,84,100,111,64,115,104,110,20,105,84,90,108,35,110,77,46,51,27,55,13,125,113,89,7,127,95,19,56,24,158,25,108,117,84,73,147,49,28,5,120,110,106,83,136,142,150,42,95,60,88,44,25,124,36,85,113,36,138,86,13,145,40,84,150,83,131,78,49,93,132,41,26,44,50,153,5,43,137,163,23,48,51,6,4,5,41,117,50,22,93,0,67,79,85,151,13,57,135,51,116,52,105,51,0,128,150,35,135,16,30,123,145,149}

{75,15,60,93,24,164,89,95,36,86,59,9,29,158,158,159,73,21,58,135,116,110,95,87,150,17,24,140,123,43,28,104,156,119,25,6,89,95,33,25,149,29,66,70,110,75,21,42,67,58,81,6,107,7,96,38,121,6,160,108,57,122,137,36,18,82,124,102,15,89,127,110,52,3,50,6,56,114,88,3,129,128,100,61,159,143,136,122,135,41,49,112,53,144,59,120,101,125,32,141,82,80,127,150,134,15,122,5,153,55,105,148,49,25,137}

{1502280,1,2,5,49,1,1,237492300,526132049,1,593747743,1,15,1,2,1,1,1,1,1,5,1,1,25142488,160057351,154967757,214883914,105068525,1,2,1,76576524,1,1,1,170162062,1,308726700,6,1,1,1,1,101349549,41,52468520,298452,1,2,1,1,1,1,1,13096200,1,2523330,7,1,3,308867610,134185058,343868118,487862623,1,1,8532264,272140560,1,1,1,1,1,1,2,169999802,56111310,93219126,607422572,6,1,633410260,33986170,1,2,1,34594898,2,1,85890446,119830554,1,792984822,2,611403328,290968515,2,1,70492560,1800162,212238229,51136960,1,1,1,2,21142618,1,2,6,618952685,9,2,1,2}

Returns: "Solution exists"
30

"LLLGLLLLGGGLLLLLLLLLGLLLLLLLLGLLLLLLLLLLLLLLLLLLLGLLLLLLGLLLGLLGLLLLGLLLLLLLLLLLLLGLLGLLLLLLLLLLLLLLLLLGLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLGLLLLLLLGLLLL"

{10,9,23,17,9,26,3,8,13,29,15,1,9,5,14,11,1,29,26,14,10,19,23,10,29,25,0,29,22,12,29,2,18,6,26,6,14,11,27,6,29,7,12,19,15,3,11,19,22,13,17,13,13,22,2,13,12,28,5,14,21,4,10,17,25,13,0,15,3,11,16,5,23,2,21,19,14,0,25,26,15,1,8,17,17,25,26,9,12,24,3,2,18,2,27,12,5,29,19,21,10,25,17,7,22,28,22,2,4,22,5,17,9,17,28,1,10,15,26,0,23,13,15,2,10,9,13,12,5,18,26,26,13,22,2,10,15,11,5,10,28,2,2,11,11,19,23,3,3,23,10,2,15,12,26,25,11,26,2,7,1,10,15,18,10,17,10,4,23,9,5}

{28,6,29,22,4,1,11,17,2,4,4,6,27,27,2,26,25,6,13,11,12,24,4,2,4,23,1,23,23,19,5,20,17,8,1,22,0,28,22,23,3,18,15,9,1,0,20,5,8,9,0,21,15,7,21,10,0,18,10,23,19,15,2,14,23,17,8,23,5,28,4,8,17,1,27,25,2,23,0,23,9,19,15,9,6,5,23,13,16,6,5,28,26,24,2,21,29,17,12,7,28,9,6,27,14,7,17,28,8,23,20,7,1,24,14,29,26,10,9,5,7,14,1,20,21,15,17,0,1,24,2,9,11,16,15,4,17,18,6,27,23,19,14,19,5,23,9,26,26,11,17,27,18,21,0,28,22,5,19,13,2,11,28,25,18,6,27,18,8,23,22}

{9312204,31379130,1393308,4,5193180,760804973,14412502,115092052,1,9,4,548247090,252595395,215747805,24245242,40903174,447619784,43571430,69072341,8492614,6,2373270,121068,1864716,4326588,8959032,620962237,1393308,10340028,3,5469345,96882618,232725116,171483630,760804973,215568420,149311001,13536094,231370724,7315380,127829898,100362301,2534436,7283655,77610668,506780386,33936006,6221145,161590652,1,347802812,44934370,7046156,124785796,37982770,2205996,1,159240653,5939220,12646476,5,4823604,1864716,1,8959032,33406412,388455718,1553364,1,13536094,13126320,301359030,7364628,100832354,221659490,86708760,24245242,49713804,423100328,60909516,66631140,127257915,2,315903780,153537420,1,60909516,51205635,6896880,5112210,393153810,38643682,481191113,14103390,45158386,16162470,5469345,904428,2770470,119548210,9312204,384295320,153537420,1,124221428,60814193,72339884,38643682,51084324,10340028,154288155,88877996,564010155,51466260,60539149,156631041,28139484,717636,653174415,65049495,12703932,14341301,77610668,96882618,9152940,66631140,33406412,40555998,481734645,116232870,116772922,653174415,246662,124564080,5956076,503388,10867492,1718366,26801670,10882092,1060884,19532310,24245242,6841770,25899510,3396060,1672380,620908994,620908994,1413828,3402372,45158386,49086908,16162470,719130041,171548872,13887484,557891985,1,14406457,100832354,653172,29744044,283108904,15368028,153537420,1,103296492,16450884,1672380,378832020}

Returns: "Solution exists"
26

"LGGLGGLGGLLGGLGGGGGLGGGGGGGGGGLLLGLGLGGGGGLGGGGGGLGGGLGLGGGGLGGGGGGGGLGGGGLGLGLGGGL"

{13,19,6,22,5,21,18,11,6,13,10,16,20,10,23,15,19,23,12,16,5,6,16,11,14,8,0,21,24,1,25,10,15,2,17,15,4,23,19,25,9,7,14,21,18,12,21,0,11,16,24,17,21,21,25,14,20,16,11,16,13,11,0,16,7,17,2,3,3,7,18,0,20,18,20,11,3,23,6,2,7,14,13}

{5,17,14,2,12,13,24,0,21,15,5,13,4,0,2,7,3,6,14,8,11,20,22,6,24,2,18,14,20,18,3,2,23,14,11,1,7,5,25,7,3,19,25,10,8,1,17,5,15,5,3,3,4,10,15,10,7,6,7,3,23,20,2,11,23,22,10,17,8,12,3,9,10,7,11,1,19,16,13,8,5,12,19}

{334716318,3,1,4053325,1,1,391778685,2,1,5464818,580214751,1,1,739943718,1,1,9,4,1,262300278,1,1,1,2,45,1,1,5,1,1,462544335,291406305,26975364,5,12570060,1,6208354,1,1,1,1,1,165264255,1,1,1,5,1,1,380110201,45,15,1,30045945,1,66520935,1,1,1,1,188528652,1,1,1,1,5,1,15,3,63040903,1,23,1,1,18715058,2,61236945,1,93219804,1,1,1,43552026}

Returns: "Solution exists"
151

"GLGLLLLLLLLGLLLLLLLLLLLGLLLLLLLLLLLLLLLLLLLLLLLLLGLLLLLLLLLLLLLLLLLLLLLLGGLLLLGLLLLLLLLLLLLLLLLLLLLLLLLLLLLLGLLLLLLLLLLLLLLGLLLLLLLLLLLGLLLLLLGLLLLLLLLLLLLGLLLLLLLLLLLLLLLLLLGLLLLLLLLLLLLLLLLLLLL"

{111,65,99,8,123,79,53,72,118,141,95,116,58,52,126,71,16,130,55,148,111,117,74,113,118,129,74,40,111,90,46,35,100,25,66,35,9,82,38,23,77,75,82,74,59,146,68,27,25,52,146,98,83,18,112,116,4,32,37,87,14,87,138,18,114,118,116,83,58,77,129,64,3,16,8,76,144,105,13,136,114,14,55,141,74,139,74,75,45,34,148,56,14,4,20,29,96,144,86,84,85,91,40,148,116,95,117,26,117,38,56,59,32,22,121,37,52,76,62,115,93,22,39,24,31,62,21,1,76,136,0,41,76,96,92,9,24,116,30,33,72,48,107,150,91,44,70,112,80,65,137,107,111,148,24,38,63,133,16,32,85,92,114,140,84,20,86,93,87,32,61,80,69,78,5,107,39,108,85,108,42,23,141,16,103,20,117,16,96,141,74,138,53,40,104}

{87,28,79,40,133,78,63,16,132,24,77,109,34,39,55,101,75,35,36,109,54,89,66,127,35,110,120,51,45,39,95,145,104,121,139,21,106,111,28,12,127,122,122,144,1,58,113,44,88,30,0,4,56,13,99,89,40,30,16,37,144,66,128,14,40,16,73,3,85,111,43,43,92,136,107,62,110,14,18,30,89,87,40,72,75,27,82,52,67,3,114,110,137,19,46,108,89,136,97,110,7,72,118,139,78,112,107,121,115,49,105,79,46,17,9,134,143,91,80,60,113,137,124,72,84,58,68,36,22,126,66,111,20,63,143,41,99,139,81,103,2,113,3,0,47,32,84,88,25,68,17,13,102,89,128,50,94,77,78,62,15,109,74,21,88,123,75,32,91,8,104,24,9,43,8,57,54,12,131,62,39,15,35,123,134,89,43,99,74,109,22,42,69,87,136}

{1,89121116,1,649584,116591310,296386738,322025106,190820758,22845519,673323244,15570919,1,38583830,452541580,111372100,300604128,378691574,13396180,288354612,117974284,873174690,227573752,158990950,1,1259587,2066265,88061150,11829168,239998468,47818402,33339173,1514821,179429874,23505280,373659150,19975305,2740335,508633783,94490348,27395891,114068682,851110,2255890,54086978,17770221,71924270,8207680,357969228,19662720,4,38716535,357483690,46796872,125353526,203937355,113586641,3435120,226953856,373832846,185501026,1376694,379583950,3150768,1808154,34963344,50524987,53317394,21006248,461063190,370754839,456210,2410378,2,1,3622680,59900370,11166518,117963,1,135897728,249319273,2195703,10915632,179049926,78708034,127538556,208617766,124785820,85278020,7931018,81207596,5935703,2645370,42889455,593496862,99252390,4325076,55220726,89682888,5727215,143571855,38156234,3270384,61424196,244897529,14992349,22247640,169214820,2,126138900,33189237,205846722,277573667,239661240,34678020,97332780,263961940,25688086,369246270,186054,540090993,3527160,284916,2,6401005,56340330,1773120,21981414,31715880,58608350,59486050,314213920,48670994,2573532,378936338,5,415476940,120206643,421245312,158918440,52856578,609958869,2,51243465,63445293,270922066,128938485,19693443,166482560,701120,22321390,110737080,559722856,58041452,158896048,1,368285138,164044881,832375301,138207765,142865583,742413146,224534894,131432520,7462455,295510290,375418074,215813193,82991833,7112806,96000918,339701092,6763380,7885994,2,76180680,707303970,548061555,110355,552885,24384061,314607219,19565777,779999370,9548040,292529986,2335576,484282145,1947564,736308221,85837080,1010568,13703196,26865072,42603054}

Returns: "Solution exists"
124

"LLGLLLGLLGGLGLGLGLGLLLLGLLLLLGLGLGLGLLLLGLLLGLLGLLLLLLLLLLLLLLLLLGLGLLLLLLLLLLLLLLLGGLLLLLGLLGLLLLLLGGLLGLLLLLLLGGLGLLLLLLLLGLGLGLGLLLGLLGGLGGLGGLLLLGLGLLLLLGLGLLLLLLLGLLGGLL"

{92,40,78,21,7,97,90,66,4,54,41,104,113,108,93,38,97,31,24,97,2,107,84,83,118,3,47,10,54,11,37,99,109,85,77,10,75,35,94,11,19,19,30,72,74,91,63,0,41,6,112,98,3,67,102,83,63,117,57,80,15,99,5,68,14,5,28,33,118,47,13,13,101,65,117,38,65,27,46,93,109,101,104,76,75,82,63,111,79,121,107,33,110,100,73,15,107,1,80,36,104,114,34,10,77,72,86,44,121,111,61,46,8,69,22,123,23,66,86,77,35,20,35,95,39,84,5,65,26,22,68,99,46,56,44,52,97,73,39,93,84,91,7,104,73,123,121,122,20,0,68,109,6,122,105,97,32,68,119,49,76,103,114,102,5,109,80,60,28,17,36,75,20,121}

{87,6,91,86,71,50,97,80,105,61,46,118,107,86,45,103,28,6,31,74,117,8,98,108,28,55,34,66,60,85,3,40,39,47,102,21,113,97,91,40,20,63,48,43,21,48,77,46,62,115,11,110,121,92,93,119,69,120,20,107,14,39,98,49,58,61,38,117,5,67,45,60,96,69,112,87,90,53,73,87,120,85,68,40,43,3,4,115,54,16,93,56,80,56,58,48,108,121,62,54,119,46,67,93,102,117,75,66,84,93,64,54,7,118,100,92,87,92,85,27,107,67,104,50,58,95,73,17,78,11,118,42,77,50,79,89,14,55,71,61,33,90,14,61,34,0,108,84,7,82,86,115,57,105,84,30,123,8,111,108,45,55,112,26,16,39,73,105,106,14,15,7,76,5}

{617483729,26567596,2,88960008,5913000,945165,1,35562037,106557195,1,15,217255138,1,97961646,1,198137782,1,330501922,1,19481010,3955572,20942676,64457772,1,22005514,18990538,131896930,33656077,9933132,1,3788106,1,125680464,1,184472555,1,115682380,11605945,13269384,9843680,1,57948252,602772185,140687001,2,464175288,241190692,1,24500175,260460078,73932320,715496,88001578,63909147,16423690,404527760,573457092,310419874,4414435,59505903,25248168,216348496,89878924,19821525,32670792,1,23027803,1,41095562,23949255,596205934,332828332,37928541,183304602,44910778,244868011,4089816,108797600,281190,21060254,433342494,10145829,140960697,2,1,295309742,312057660,57091584,39641052,29465254,1,217878200,304504,5,18671016,79034776,231671709,202469796,22714655,6001116,1,2,34890654,1835054,1,179978526,52043178,52207421,86241828,2438656,338009620,94380,3,1,186757935,1,668796819,403285253,86970882,241229600,470917863,1089861,400077301,36603138,56,155392116,1,63653706,1,281430240,1,106284256,3793530,288600,1,606390,4603995,7,8,21242114,1,8,64139625,1,1,305145486,368153778,49853388,11853375,1,23386278,6,261950330,68904446,103737684,3588745,172885392,3,92764672,1,685516730,209236174,1157134,28163025,17878406,125680464,62958441,1,49202518,18816633,2,1,12111010,60127138}

Returns: "Solution exists"
58

"LLGLGGGGGGGGGGGGGGGGGGGGGGGGLGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGLGGLGLGGGGGGGGGGGGLGGGGGGGGGGGGGGGGGGGLGLGGGGGGGGLGGGLGGGGGGGGGLGLGGGGGLLLGGGGGGGGGGGGGGGGGGGGGGGGLGGGGGGLGGGGGGGGGGGGGGGLG"

{16,27,23,17,49,24,37,5,29,28,11,45,4,50,41,9,50,53,54,18,18,19,38,36,44,31,25,11,33,48,3,23,7,19,23,42,42,42,57,18,16,31,2,10,27,49,38,5,23,30,23,21,20,29,22,23,40,7,4,8,55,50,24,0,3,41,56,10,4,0,2,47,27,40,14,34,25,38,43,25,53,10,7,13,49,33,42,37,4,18,17,11,10,28,2,52,27,21,2,34,51,39,28,16,26,27,33,20,17,11,56,6,28,38,34,11,15,39,42,9,23,4,3,28,33,50,51,38,6,10,37,40,5,39,47,38,55,15,0,31,21,52,7,10,31,46,24,23,56,26,12,0,36,19,16,2,21,40,27,1,7,56,14,30,19,23,34,16,1,2,13,48,45,43,0,33,19,35,16,34,42,34,6,25,16}

{27,1,26,14,51,12,25,56,20,1,37,10,12,9,44,50,21,38,51,25,33,51,35,25,37,27,44,48,20,30,21,50,11,17,45,6,15,43,7,28,30,30,33,42,48,14,19,1,11,5,0,0,0,8,42,32,17,56,34,47,54,34,2,15,34,18,52,11,50,31,8,34,6,18,13,22,4,35,7,13,22,35,12,24,0,54,45,36,44,16,41,35,32,30,40,54,20,27,47,23,25,13,53,2,46,54,53,53,33,13,43,44,38,33,48,17,55,31,15,55,9,17,13,21,2,34,24,8,56,4,8,7,57,44,0,42,9,39,26,53,23,39,41,51,17,10,39,0,31,38,36,6,24,54,42,55,33,22,22,19,41,18,4,26,24,3,8,3,31,38,56,44,38,28,8,56,30,25,48,14,12,29,32,6,5}

{8670246,93153399,1,120705520,1,1,1,26,2,1,3,1,1,1,1,1,1,2,2,13,1,14,8,1,1,3,1,2,6966190,1,1,1,1,5,1,2,2,28,1,52,1,1,1,4,1,1,4,3,1,1,1,1,1,3,4,1,1,1,1,1,3,1,327829917,1,1,49428028,2,155988456,1,9,1,2,1,1,4,18,1,8,1,1,13663692,8,5,1,1,1,77,1,1,26,1,6,2,1,1,6,1,1,1,1,53386606,2,21743540,1,4,3,7,14,5,2,4,496480070,4,1,2,28411890,1,2,2,3,1,1,1,5,1,336979566,1,7538856,2,1,3,1,1,508950302,11318040,8359736,3,2,3,2,1,2,1,2,1,4,1,1,4,8,1,1,1,6,2,1,5,1,3,3,23106515,52,1,1,3,1,3,14765582,3,1,4,1,1,4,3,1,1,1,2,2,1,18,2,70965310,26}

Returns: "Solution exists"
67

"LGLLLLGLLLLLLLLLLLLLLLLGLLLLLLGLGLLLGLGGGLLLLLLLLLLGLLLLLLLLGGLLLLLLLGLLLGLLLLLLLLLLLLLLLLLLGGLLLLGLLLLLLLGLLLLLL"

{46,64,25,34,40,5,34,28,33,16,32,47,61,58,45,48,15,5,61,3,1,42,39,10,48,8,34,30,64,43,1,15,10,27,22,11,45,2,58,21,36,65,37,32,43,1,65,47,31,2,27,4,9,58,56,61,1,20,11,48,56,4,28,18,51,34,14,17,17,39,17,33,49,65,30,9,25,30,36,43,66,8,13,59,58,53,3,59,24,59,31,7,15,8,14,7,38,50,25,44,40,22,33,63,5,47,27,36,24,45,27,13,60}

{62,62,58,45,48,36,31,26,31,46,24,3,42,36,28,34,57,25,43,8,0,7,40,55,52,9,55,66,29,58,28,42,26,61,55,53,32,42,19,50,0,47,55,60,8,34,1,20,38,4,36,38,36,37,13,3,66,62,17,52,27,14,14,16,26,22,62,52,53,28,53,49,1,28,10,18,27,23,37,56,42,33,5,18,23,54,62,31,55,9,59,22,16,28,34,14,27,17,61,55,19,63,7,65,42,51,23,23,6,19,44,55,1}

{184157532,79,120780,524212087,39974184,30371198,7,1998360,174325844,4250844,20139306,75799464,4733844,2940444,92104632,430148376,52772778,1020690,23895788,148146024,1740765,297192,15443304,1,97586568,267618624,136433626,9591894,271709598,58828644,3,25654038,5,3634900,80953056,140103141,1,99086997,9,3,1,408260678,10768634,185196,410327113,385078785,401254035,229200902,210242508,40814806,21825700,1,1799616,4332708,1239768,2156856,10583235,510605914,336232608,97586568,4,1,11124936,159588,32760,741511008,23412519,102168736,405738336,6,405738336,16133744,26866320,61,79885910,192192,1613700,52362154,5283694,43076712,47396817,141697567,209853864,51436,24707196,347026089,12989496,3146948,72411286,2917824,3146948,207648,2,1,569856609,1276632,181859100,43292448,2,63896806,158056920,39186144,1554168,103224261,60186687,17116008,2,30130178,397744660,178358355,190824100,50497416,41347020}

Returns: "Solution exists"
75

"GGGGGGGGGGGGGGGGGGLGGGGGGGLGGGGL"

{1,29,0,7,33,45,28,28,63,49,35,50,67,38,9,5,10,7,31,60,3,23,11,34,69,32,43,8,44,27,29,60}

{39,3,49,25,67,34,49,16,28,72,6,72,18,64,47,20,1,57,74,44,10,40,48,47,3,2,7,50,2,32,73,29}

{1,1,10,1,1,2,6,16,6,2,2,1,2,1,56,1,1,1,241208,1,1,1,1,104,2,1,60730080,1,1,3,1,303285927}

Returns: "Solution exists"
37

"LGLLLLLLLLLLLLL"

{25,12,10,23,25,20,13,0,20,1,11,9,35,6,34}

{8,35,18,24,26,24,28,29,17,12,16,29,22,1,19}

{209171345,1,8448660,294991873,100818090,245991768,212352161,665306190,347383032,630032835,51658712,229234212,353017098,114299925,3134562}

Returns: "Solution exists"
126

"GGGGGGGGLLLGGGLGGGGLLLGGGGLGGGGGLGGGGGLGGLGGGLLLGGGGGGGLLGGGGGGGGGLGLGGGLLGLLGGGLLGGG"

{100,25,120,53,77,99,19,90,114,49,52,10,108,121,17,47,109,13,40,12,12,26,100,53,69,112,70,32,37,15,31,124,99,3,37,95,68,0,86,87,96,19,66,113,1,30,98,11,112,19,51,5,0,20,72,78,14,23,106,64,59,28,80,41,21,46,27,75,57,39,125,74,65,87,38,94,83,59,60,84,98,110,21,3,56}

{80,56,12,21,100,49,51,93,97,87,42,52,3,66,38,110,16,10,9,114,44,72,98,118,36,76,33,71,53,51,110,67,22,8,35,1,23,65,23,50,18,87,119,116,73,70,59,100,64,28,43,99,64,12,110,94,13,57,15,7,122,13,58,32,71,79,41,30,79,4,48,84,4,120,92,108,90,5,41,10,44,79,111,75,65}

{36,5,1,1,1,1,1,1,63959084,126810827,7091484,3,1,1,36420600,1,1,1,1,2295020,18123560,121972236,18,5,2,1,11039490,3,1,1,44,4,806412,2,11,1,1,3,201460455,1,1,182209235,1,1,1,23730894,61214436,129535236,1,5,1,1,13,7,2,262825371,35219138,1,2,1,1,17,1,3,3,5,16670610,3,326870860,1,3,1,36892755,43477811,3,13947363,166490160,1,1,1,48671640,163663940,477,1,5}

Returns: "Solution exists"
28

"GGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGLGGGGGGGGGGGGGGGGGLGGGGGGGGGGLGGGGLGLGGGGGGGGGGGGGGGGGGGGGGGGGGLGGGGGG"

{18,20,4,15,8,8,6,13,21,11,5,19,11,25,15,9,14,2,20,24,7,15,21,11,22,20,15,0,13,0,21,6,25,3,11,8,4,7,12,17,9,27,21,13,17,3,3,1,0,14,20,16,14,25,7,12,1,14,14,11,7,7,21,25,11,6,10,5,6,18,24,4,5,12,11,2,4,11,11,14,18,5,22,13,16,16,27,6,7,24,17,16,3,10,9,7,4,24,20,24,19,26,24,27,5,21,12,10,7,26}

{16,7,22,13,20,20,17,24,24,7,8,12,8,12,4,0,6,12,21,18,9,1,17,14,12,8,19,7,9,27,12,1,19,18,5,24,1,17,17,12,5,22,18,0,6,0,0,6,10,19,14,8,23,13,10,13,18,23,16,13,18,21,10,4,9,3,3,8,23,9,9,10,0,23,17,7,26,3,21,10,20,27,11,16,1,6,21,23,12,26,3,19,10,15,2,19,5,14,15,23,20,8,14,2,15,15,15,14,6,13}

{2,1,1,1,1,1,2,2,1,1,1,2,1,2,1,2,2,2,1,2,1,1,1,1,1,1,1,1,2,2,1,2,6,5,1,1,2,1,50,50,233148824,1,1,2,2,5,5,2,2,2,1,1,2,6,1,2,2,2,28767508,1,1,3,1,2,1,1,1,1,2,139141480,8,2,1,2,561616250,339,556015218,1,1,4,1,1,1,2,4,2,1,2,1,1,5,14,1,1,2,3,1,4,1,2,1,1,4,142014558,1,1,1,4,1,3}

Returns: "Solution exists"
185

"GGGGGGGGGGGGGGGGGLGGGGGGGGGGGGGGGGGGGGLGLGGGGGGGGGGGGGGGGLGLGLGGGGGGGGGGGGGGGGGLGLGGGGGGGGGGGGGGGGGGLLGGLGGGLGGLGLGGGGLGGGGGGLGGGGGLGGGGLLLGLGGGGGLGGGGGGGGGLGGGGGGGGGGGGGGGGGGLGGGGGGGGGGGLGGG"

{47,160,49,12,182,162,177,72,56,131,89,20,3,76,50,136,90,12,35,145,52,143,56,148,94,24,142,172,143,44,58,137,84,150,104,116,99,31,66,4,21,113,21,115,167,27,93,158,118,44,116,117,151,110,164,67,122,100,67,149,46,159,36,177,20,52,42,102,147,153,120,169,184,12,133,124,114,33,47,67,159,79,172,16,107,26,57,104,18,32,166,44,13,124,64,75,14,85,44,183,87,140,70,17,64,130,150,149,132,106,26,103,105,172,161,126,55,67,93,122,63,36,137,41,163,91,155,146,36,24,8,20,150,178,92,126,34,67,22,17,7,75,154,174,29,158,32,182,117,19,148,98,74,156,134,146,183,165,51,56,78,159,144,47,95,112,110,124,70,34,176,167,115,69,92,140,26,70,52,111,147,13,147,71,3,150,25,140,71,37,52}

{74,184,46,132,167,117,184,128,44,159,47,85,163,46,182,5,3,29,5,20,128,17,87,138,44,52,110,76,27,153,105,99,136,46,32,102,138,159,130,34,12,133,58,65,105,139,157,50,70,149,150,45,101,83,158,135,156,97,92,1,1,122,158,106,81,74,106,184,17,112,43,156,22,56,103,84,41,168,128,49,126,86,115,72,73,94,166,42,107,110,156,91,106,62,122,177,30,12,63,156,170,53,96,99,56,31,142,44,7,160,16,111,146,62,113,5,23,88,1,50,19,81,162,135,29,184,63,50,180,121,71,76,53,170,14,18,169,122,161,82,11,140,99,108,62,147,127,55,136,129,29,21,91,127,82,110,145,117,57,6,133,164,65,51,43,52,42,172,10,149,52,61,125,132,23,180,2,75,1,66,80,114,6,175,89,140,52,89,15,139,125}

{9,1,1,13,1,1,1,1,1,1,3,18,1,1,4,1,1,55542214,1,1,1,1,1,1,5,1,1,5,1,15,1,1,1,1,1,2,1,1,8307724,2,131098604,1,1,1,1,1,1,4,1,1,1,2,2,2,1,1,2,542246124,1,228688852,1,53660794,4,1,1,1,2,1,1,30,1,9,1,1,10,1,1,1,7,621675947,1,610336567,5,1,1,1,1,1,1,2,4,3,2,6,1,1,1,1,3,4,7073880,9671030,1,1,364898366,1,1,1,5805228,2,1,502845070,1,351080280,1,1,1,1,69171137,2,1,1,1,8,1,223748328,31,1,4,1,1,33514830,1,1,1,1,39818340,675088318,27948711,1,157798443,1,1,1,2,4,13810500,1,1,1,1,1,24,1,3,1,272602396,1,1,1,1,1,21,1,1,1,2,5,1,4,1,1,1,1,4,12539960,1,1,1,1,1,1,5,3,1,5,11,70126890,1,1,1}

Returns: "Solution exists"
57

"GGLGGLGGGLGGGGGGGGGGGGGGGGLGGLGGGGGGGGGGLGGGGGGGGGGGGGGGGGGGGGGGGGGGGGLGGGGGGGGGGGGGGGGGGLGGGGLGGGGGLGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGLGLGGGGGGGGGGGGGGGGGGLLGGGG"

{17,19,5,34,51,20,39,54,27,2,56,43,45,3,12,36,40,47,31,32,37,18,28,25,19,9,38,15,13,3,54,50,13,7,7,38,0,8,30,28,47,54,17,56,25,45,50,21,6,41,20,9,40,55,22,8,45,17,53,3,49,10,11,50,40,12,19,53,13,16,8,17,52,52,7,14,10,41,15,11,41,15,44,41,38,28,11,45,36,32,14,51,29,27,38,34,12,40,54,14,36,48,4,34,55,13,9,48,47,12,50,47,25,3,3,5,2,6,21,14,21,16,49,40,10,44,38,38,34,46,46,37,47,34,1,35,21,44,14,9,43,45,17,31,20,3,24,12,30,15,11,51,15,12,17,39,12,22,5,36,25,48,4,24,9,22,38,44,24,48,56,8,46,0,9,47,2,27,24,12,56,44,3,52,27,46}

{49,8,31,39,2,21,21,2,33,9,19,2,5,50,13,3,51,51,51,3,26,19,39,21,2,46,49,1,9,14,0,17,31,26,32,3,39,15,38,0,20,35,2,17,51,53,37,49,55,0,8,17,34,40,40,5,33,43,20,39,52,19,6,12,42,21,45,7,14,36,12,21,37,2,11,16,40,50,41,12,51,54,43,8,55,42,34,37,3,30,2,33,56,5,15,5,46,13,17,19,10,27,53,12,13,22,48,22,18,53,6,19,28,54,35,31,46,33,23,17,14,45,17,1,11,19,11,52,30,15,37,50,51,33,54,17,38,36,54,4,33,31,31,13,38,45,54,2,22,1,9,23,16,52,22,17,1,6,15,43,8,40,43,44,38,44,37,5,5,2,0,18,52,30,38,20,32,56,28,46,28,11,14,42,9,11}

{1,2,16283454,12,349,143720910,3,1,1,38584742,2,1,3,1,1,2,1,3,1,1,4,35,8,3,1,2,2793183,1,1,91233722,1,1,11,2,1,1,75,1,1,1,88997820,2,53,1,3,15,1,3,2,1,2,1,2,2,2,1,3,1,15,2,3,1,1,1,2,1,15,1,1,1,185876276,1,1,1,1,1,1,1,1,1,7,1,1,2,1,4,1,1,2,265534673,1,3,2,1,5543341,3,4,1,1,2,568103960,1,1,4,1,11,1,1,1,1,11,6,4,2,2,1,1,1,9,1,1,1,1,1,1,2,1,1,1,1,4,1,3,3,1,1,1,8,2,149,1,1,1,11,1,1,4,1,1,1,7,9,1,1,1,1,1,22,1,243364520,2,50637322,1,8,1,8,1,1,3,1,1,1,3,1,1,6,1,1,8,4,52809664,336767536,2,1,1,1}

Returns: "Solution exists"
167

"LGLGGGLLLLGGGGLGGLGLLLLGLLGGGGGGLLLGLLGGGGLGGGLLGGLLLLLGGGGLGLLLGGLLLGGLLLLGLLGLLGLGGGLGLGLLGLLGLLGLLLGGLLGLLLLGLLLGGGGGLLGLLGGGGGGLGGGLGLGGGLGLLGLLGLLLLLGLLLGLLGLGLLLLLGLGLGLLGLLLLGLGGLGLL"

{134,151,25,84,53,21,106,161,81,134,120,27,120,71,51,58,150,18,146,144,138,103,47,155,73,146,28,161,155,77,60,25,142,121,55,126,147,2,157,156,65,88,58,161,92,9,156,38,82,103,32,29,23,55,88,97,122,79,148,28,75,32,48,14,38,162,32,123,138,104,148,17,101,10,112,129,92,152,93,71,1,109,25,107,95,83,99,165,164,77,161,95,57,97,81,130,118,5,138,110,81,31,153,89,125,95,132,84,59,59,15,48,47,16,37,12,7,164,56,34,59,5,9,99,64,123,63,8,94,9,48,81,60,166,104,98,87,65,4,105,37,112,113,10,136,130,89,100,145,122,49,7,84,149,63,112,143,21,102,23,111,19,58,88,5,91,85,144,66,160,105,148,75,68,21,32,111,155,114,60,89,56,124,146,99,125,29,116,49}

{91,100,165,119,128,71,88,44,121,108,12,16,122,89,65,111,79,139,159,114,106,43,82,80,113,18,7,24,123,56,39,46,101,8,82,123,40,47,114,3,68,135,73,36,77,22,151,139,28,14,35,74,82,2,107,158,2,6,34,83,151,56,60,1,51,119,45,128,150,42,89,138,88,116,123,90,98,134,53,84,59,146,163,15,97,153,87,119,52,85,117,64,38,130,63,40,109,7,24,23,156,114,74,40,65,79,13,5,112,10,12,19,51,26,5,3,149,88,141,117,140,70,46,155,43,107,163,161,67,46,166,17,151,94,40,162,131,105,141,0,29,71,147,93,48,143,36,54,10,153,80,117,128,84,103,148,44,120,19,155,73,155,159,61,80,49,35,21,44,51,101,125,72,83,69,65,133,99,21,56,40,155,73,89,38,165,20,60,152}

{349369800,1,25028667,1,1,17,28483498,168873189,145588323,280595640,1,1,3,4,165622710,1,2,10535530,1,485596438,129401522,136658697,40220820,1,61663854,82318970,1,1,1,1,1,3,26723940,668191494,10369728,1,35083842,17078340,1,1,3,2,292291223,17,1,2,571574724,107038180,2,1,774907535,196831448,12447486,1467712,130599978,1,2,1,1,14265040,4,382303369,718900,329495397,2,1,571738254,12386491,369030506,1,6,566242728,96660660,40601946,20606118,1,103966891,122107128,1,51725696,23045043,1,616066806,1,1,8,28405106,1,14137995,1,50132337,73349892,1,19853230,91103703,2,19049118,38750602,1,37632390,445554753,88241378,8,2,54165678,16972452,1,50537146,258510966,16587186,390590242,2,11001540,499686334,19223292,2,1,1,1,1,267777062,591455326,3,3926491,611397732,1,1,1,1,3,5,121491672,4,5,1,136444499,1,327814800,1,2,2,283138944,57,3134670,3290350,2,12846900,578889568,7,398519160,294711476,14414243,30731581,5944911,1,68868438,9142536,719591997,1,2793534,31344369,1,73357715,1,331543322,495274100,542543535,767101999,160844167,2,16150800,2,236274492,1,207848936,559324473,1,3926491,543113722,677404,34407708,1,742386113,2,1,9796374,1,1390844,173101676}

Returns: "Solution exists"
121

"LLLGLLLLLLGGGLGLLLLGLLGLLLLGGLLLGGLLLGLLLLGGLGLLLLLLLLLGGLLLLLLLLGGLGGLLLGLLLGLGGLLLGGLGLGLLLLGLGGGLGGLLGLGLLGLLGLGLGGLGLGGLGLLLLLLLLLGLLLGLLLLLGLGGGLLLLLLGLLLLLLGGLGLGLGGLGGLGLLLGLGGLLGG"

{84,55,52,18,40,55,17,33,38,77,79,10,22,88,18,71,14,27,32,91,65,52,68,71,103,89,88,34,65,68,52,54,1,11,14,1,77,76,4,4,87,37,67,67,8,4,106,56,63,69,5,80,47,10,40,28,84,28,61,59,39,3,66,89,64,18,71,48,49,29,108,105,0,70,4,89,78,47,107,101,76,54,40,111,41,27,61,58,120,63,67,43,28,4,58,115,28,43,99,116,26,56,110,71,72,31,91,97,44,71,26,28,114,99,46,44,71,92,57,101,92,4,80,102,112,116,4,88,15,66,117,85,107,21,3,96,32,4,64,15,16,38,7,44,74,46,75,2,73,43,90,101,55,43,84,89,16,5,69,34,108,31,87,36,42,68,92,42,48,40,20,111,62,99,92,20,77,87,76,113,62,42,51,99,97,113,68}

{94,35,54,10,92,7,72,39,25,4,52,119,96,58,54,14,103,8,31,88,94,56,22,86,26,116,12,112,36,85,39,11,34,44,32,39,38,9,34,44,119,91,78,112,13,120,27,3,60,105,1,55,22,82,22,67,23,110,5,94,26,25,116,37,31,13,25,101,44,77,23,58,97,28,88,75,107,29,114,61,10,99,57,120,65,7,25,4,16,99,79,64,86,6,15,114,90,84,29,80,58,89,81,89,65,94,68,102,83,111,71,83,30,37,21,42,16,14,105,111,91,52,119,65,6,81,8,77,120,14,102,49,77,103,66,72,35,45,42,90,86,48,109,15,81,69,41,109,78,107,77,61,18,17,46,63,87,48,119,97,31,57,119,6,54,11,97,76,95,8,50,76,115,114,39,34,70,15,62,74,47,118,44,85,30,6,62}

{8913375,41337352,14318535,14,336838680,13313489,416686890,40056123,95956749,143841621,1,2,1,33831204,7,812782080,461626880,128145050,402078810,3,16905375,482790,12,288052740,442611000,526134,1274196,2,1,134930388,41144235,184160816,2,16,537377280,16911074,81356121,1,19916904,117567744,21454656,38765475,1,1,592537,1,58893950,10094700,2827194,147719852,656480,60120886,15518940,6038998,12738780,1,1,143752756,49771040,1393875,612063000,532742100,184002,662051950,210131110,1,3,25577071,6,1,96133,91197498,139538180,2,209514228,346396604,488295225,1,155432025,1,133,35831838,16539300,557567940,1,1,595470903,1,589721860,1,22906589,180680841,67035660,156587795,3,211104572,2,1,1,483546,3,2,474387305,723133602,5,14222250,3,17073668,84385536,3,28863000,51792548,29,120022350,21,428464896,1,8,164730300,1,196589736,1,2,46258115,1,1241310,57518923,14068164,247725180,370106880,17757058,184758330,111134925,136668441,2,340669590,302122056,45167542,1,276315606,781942980,26344017,66980464,53362944,1,128248092,4,1,1,37592775,449645658,375347167,3389078,525338649,133938315,1,656894784,3391520,10785332,5712792,8069810,29708700,2,23,231644707,4,44241784,1,13392650,1,1,279154365,2,1,433975336,2,498705702,91980864,314120730,1,397061940,1,4,40955214,120366124,1,6}

Returns: "Solution exists"
148

"GLGGGLGGGLLGGLGGLGLGLGLGLLGLLGGGLGGLGGGLLLLLGLLGGGLGLLLGGGLGG"

{69,47,88,128,132,29,106,18,96,80,11,74,133,56,52,130,112,107,39,91,60,132,147,10,103,70,81,72,39,124,119,17,141,147,60,81,12,22,32,111,130,117,105,86,8,27,6,143,119,33,111,4,77,130,11,64,63,79,32,69,112}

{144,72,27,78,72,11,116,34,111,123,81,100,43,34,39,58,84,62,113,112,27,56,59,143,146,32,129,93,125,135,123,90,108,17,37,142,123,45,58,128,87,115,92,8,117,41,57,118,32,8,27,81,38,37,28,76,80,117,33,8,60}

{1,185220522,2,1,6,648469416,4,1,1,13752060,724084410,1,1,192306358,1,4,104663354,1,99369468,1,14441430,2,152856990,1,80645796,96924649,30,692699802,194190108,1,6,7,758830311,15,2,195258390,28,1,1,39204011,60288948,441602616,38300060,325185,7,85245630,14654840,16059708,1,7,158461710,1,115277784,1,244369167,4,1,1,73470068,1,1}

Returns: "Solution does not exist"
171

"GGGGGGGGGGGGGGGGGGGGGGGLGGGGGGGGGGGGGGGGGGGGLGGGGLGGGGGGLGLGGGGGGGGGLGGGGGGG"

{137,12,122,35,110,136,95,16,152,52,35,71,92,161,10,17,149,14,134,52,136,41,149,82,106,159,118,96,70,33,101,142,124,59,147,157,66,47,129,20,117,13,43,165,165,43,133,131,56,162,28,6,64,69,12,132,111,13,21,4,149,46,162,96,33,130,107,82,89,129,156,134,139,59,139,72}

{61,130,31,57,150,18,23,126,2,147,125,62,159,135,145,102,117,151,128,53,106,93,30,12,123,115,112,100,2,150,54,52,26,87,149,105,133,36,134,124,124,150,170,15,154,100,159,115,88,91,47,158,67,151,147,95,145,81,144,19,101,128,106,143,97,11,23,149,49,167,49,84,32,157,86,22}

{1,1,1,17,1,1,1,1,3,5,7,1,2,2,2,1,8,2,1,7,1,1,2,760836598,1,8,1,1,3,2,1,1,10,4,1,1,1,1,6,2,2,1,1,12,102423084,1,1,8,1,12018492,1,2,1,2,1,1,468828738,1,699777852,1,1,1,4,1,2,3,1,1,420444904,2,2,2,1,1,2,2}

Returns: "Solution exists"
164

"GLLLLLLLLLLLLLGLLLLLLLG"

{14,62,57,80,11,127,129,159,84,114,37,52,86,125,37,31,56,82,126,149,37,146,55}

{29,65,63,69,24,67,109,89,141,102,60,34,155,24,50,15,153,70,62,69,43,69,73}

{1,476591988,200207280,40632312,299013429,14313756,15247505,16870269,2198644,14083580,579973170,8622980,299714386,59158528,1,332564676,8359860,128648868,141691012,727312,145007470,3539400,3}

Returns: "Solution exists"
65

"GGLGLLGGLLLGLGGLLGGGGLLLLLGLGLG"

{17,34,48,35,2,38,6,40,15,47,8,40,2,32,48,34,0,29,58,25,31,43,9,39,61,17,41,17,32,25,17}

{38,44,54,55,51,26,17,14,21,12,13,8,5,39,15,46,28,10,56,63,15,2,60,51,52,51,58,61,15,48,32}

{5,1,140629830,1,527131325,134968240,1,1,83035854,360346911,242433139,1,99722714,1,2,603365939,111278027,1,1,2,1,300539379,136384998,315753600,751211685,1777175,13,1962765,1,235164710,1}

Returns: "Solution exists"
42

"GLLGLLLLLLLLLLGLLLLL"

{16,40,3,0,8,3,21,41,25,14,23,38,25,16,23,32,27,35,13,30}

{7,29,40,14,13,16,23,27,0,26,31,39,9,32,35,21,41,34,25,20}

{4,168907832,558525144,1,598374498,435057924,161054828,5294376,2798322,64160984,465100,7533504,829326,38410204,2,22793881,5294376,138857890,4732746,128703448}

Returns: "Solution exists"
93

"LLLLLGLLLLLLGLLLLLLLLLLLLLLLGLLLLLLLGLLLLLLLLLLLLLGLLLLLLGGLLLLGLGGLLLGLLLLLLLGLLLLLLLLLLGLLLLLLLLLLLLLLLLLGLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL"

{32,36,82,60,50,47,79,65,24,69,1,14,28,84,44,75,18,24,12,87,15,86,55,92,21,8,64,85,2,76,51,53,5,28,19,66,92,58,15,6,15,9,6,42,75,10,90,85,11,28,36,12,45,70,62,5,66,66,86,31,14,44,74,71,4,55,60,8,52,57,54,79,76,73,33,34,19,11,8,63,1,36,73,25,57,1,69,44,5,78,91,67,30,80,83,30,83,63,58,59,72,12,22,57,21,45,61,37,42,58,85,78,91,58,68,62,33,6,8,50,60,63,28,80,41,62,47,90,52,78,65,14,74,27,81,80,30,4,29}

{91,56,19,63,19,20,53,1,71,70,2,86,73,51,88,84,67,29,83,7,89,32,70,47,80,47,51,2,1,84,11,10,54,36,24,26,54,22,67,77,85,43,4,36,25,45,17,86,19,22,10,31,41,38,28,59,85,57,46,92,47,81,45,56,13,46,26,23,13,37,23,41,49,28,0,61,37,75,55,22,16,59,17,21,24,71,51,82,59,81,26,12,49,50,49,2,81,56,20,1,44,62,65,5,8,26,7,63,43,39,71,53,31,41,79,81,88,13,35,28,27,70,37,37,43,66,68,79,65,18,75,68,34,64,69,41,49,36,69}

{5345900,332102047,13043264,8226060,2088640,1,240750965,94308977,7716704,108986928,2336568,49388768,1,73507524,134881384,33090708,631296732,21572276,15600780,36077404,321783917,18541600,146925347,362352599,389735125,503819519,36901407,7970664,1,23569008,19607256,281061820,4686363,291508459,6234688,86640246,1,65323476,481176267,1951872,481893061,465090860,153786464,270532493,16465596,92143344,18052848,386679392,2916288,94900388,1,175087692,263472,111924026,161477965,109944,174792574,2,1,286505403,78504517,112206622,92430768,1,60032655,1,2,373671204,88758540,267868370,3,6959568,56854288,6851933,391116770,80919048,71072320,8826552,1,123159180,209609621,2821176,3846096,205669452,46996516,36186848,65987472,47555794,109944,2,27630666,234784836,125355058,72332000,30534860,1447368,17815580,736493055,7220610,1617624,101830036,199772820,53545436,202214502,386340509,101101392,23772364,5,366847943,436063392,123443104,402487540,41508186,2703888,48202917,114067010,197612504,35736480,569511436,382101280,4170540,156961335,36937945,76916125,9351408,49501870,87983763,170944389,299260052,136336732,10628492,83529537,2685864,110108130,158542896,11154000,125355058,209929453,67918224}

Returns: "Solution exists"
65

"LGGLGLGLLGLGGLLLGGLGLGLGGGLGLGGGLLGGGLLLLLLGLGGGGLLGGLGGGGGGGLGGGLLLGGLLGGLGGGGLGGLGGGGGLGGGLLGLLLL"

{4,1,0,54,44,36,42,26,53,26,39,61,16,44,23,44,0,63,50,47,13,11,26,26,15,23,53,19,48,20,5,27,42,20,37,17,20,53,38,12,44,25,19,49,34,60,64,53,3,0,46,44,53,46,17,58,34,43,51,6,48,42,27,8,33,4,3,11,5,22,54,47,17,39,21,32,20,5,59,3,48,56,58,5,27,29,24,5,44,48,62,19,60,11,46,26,29,38,50}

{28,42,44,34,42,5,17,40,38,28,64,59,31,59,47,31,56,34,54,24,16,22,22,17,16,58,64,63,36,25,28,52,57,12,1,26,18,19,46,22,55,37,54,24,24,32,10,49,10,35,10,27,7,21,51,13,59,19,1,9,6,24,23,48,16,43,48,18,36,31,48,9,50,21,24,62,18,44,19,30,24,9,55,63,16,43,49,32,19,17,21,7,52,9,58,23,62,64,5}

{7188704,1,1,117227556,1,611793,6,36891513,22690179,1,3960522,2,2,440887162,658162813,594854210,7,1,28781100,1,2923648,3,167237997,1,16,1,2872773,3,1717443,1,1,1,14184822,22743672,1,1,1,603477,13486827,75301176,401196343,631029532,2648268,1,96969205,4,1,9,19,5654565,635854,1,1,9521831,2,2,1,3,1,1,1,24490470,1,7,28,162174048,2881977,158839902,273,1,6634908,552255956,1,1,58150565,1,1,1,1,9623082,1,1,83543912,3,1,1,1,1,119072457,1,1,1,425874708,561133644,1,171883987,19798703,25284741,160312425}

Returns: "Solution exists"
92

"GGLGGGLGGGLLGGGGLGLLLLLLGGLGGGGGGGLLGGGLGGGLGGGGGGGLGLLGGGGGLGLGG"

{87,12,59,28,13,67,0,54,40,78,38,38,56,80,33,55,44,36,22,37,11,50,22,74,7,6,27,70,54,4,89,68,42,31,84,53,88,13,37,68,36,11,16,32,70,58,10,55,58,83,28,90,74,9,5,80,61,22,17,84,63,75,66,62,64}

{83,58,36,3,69,24,43,6,26,44,81,26,68,76,80,65,66,66,67,13,91,26,85,84,80,39,2,30,55,56,27,33,20,83,74,40,31,18,31,83,86,74,41,70,77,53,28,36,21,41,5,71,36,46,27,84,53,84,53,69,85,81,27,83,9}

{1,5,131688132,1,1,1,86716380,1,1,2,253925560,214276328,1,1,1,1,558875434,1,76828437,167670825,14214768,97708634,199070709,2745488,1,1,6800728,1,1,1,1,2,1,1,2745488,151418942,2,1,1,118926690,4,16,18,5700485,1,1,3,1,2,1,1,453478626,4,71846572,165447986,1,1,1,1,1,459496111,1,230593033,1,28}

Returns: "Solution exists"
186

"GLGGGLGGLLGLGLGGLGGLGGGGGGGGGGGGGLGGGLLGGGGGLLGGGLGGGGGLLGGGGGGGGLLGGGGGGGLGLGGGGGLGGGGLLGGLLLGGGGGGLGGGGGGGGGGGLGLGGGLL"

{133,170,14,21,33,18,152,124,180,162,101,145,146,70,88,26,14,75,54,150,12,3,154,125,144,95,100,167,129,26,173,173,109,125,123,42,157,74,57,24,18,93,24,57,36,117,121,160,20,5,21,101,115,55,84,2,77,152,168,165,54,50,145,94,75,68,20,142,153,42,99,156,99,3,155,157,55,59,166,90,143,44,125,180,76,26,146,44,93,103,103,64,15,102,122,129,145,170,40,1,109,122,147,111,117,119,176,139,163,0,143,141,146,129,16,111,83,55,41,77}

{183,29,149,117,63,33,57,43,87,95,86,45,101,178,76,34,60,162,153,42,74,146,13,139,96,74,106,160,83,107,122,103,39,148,106,63,118,130,130,14,93,171,56,1,62,169,159,60,131,23,135,61,37,129,126,85,64,32,173,107,136,5,72,4,82,26,47,28,112,3,89,24,85,140,85,41,69,61,10,26,53,18,89,69,60,86,104,6,173,43,120,72,140,163,132,43,135,161,23,119,46,78,50,96,38,63,171,41,98,59,128,72,35,37,82,126,140,7,112,130}

{1,100800060,1,1,1,1015095,2,1,47197720,393814877,3,77437020,2,275376982,5,1,75288915,1,2,28844937,1,1,3,1,2,1,1,9,1,1,1,3,2,12321985,1,3,2,312611439,12056898,3,1,1,1,2,234846211,289139361,5,9,1,135452436,6,6,25,1,1,1689730,13802070,1,1,1,2,1,1,2,3,43904070,31395790,9,2,1,1,32,1,1,17399200,1,500540229,2,2,18,1,1,20067565,1,1,3,4,109731010,512670837,2,6,163534485,183263760,181853553,4,1,2,1,1,2,10355824,6,1,1,1,2,1,1,1,2,1,1,79706172,5,104588403,3,1,1,66682,11306274}

Returns: "Solution does not exist"
187

"LLGLLL"

{112,81,63,94,174,97}

{28,106,8,90,3,131}

{88700,3976686,1,625298940,13719860,52613250}

Returns: "Solution exists"
186

"GLGLLGLLGGGGLGLGGLGLGLLGGLGLGLGLGLLGGLLGLLGLGGGGGGGLLLGLLGLLGLGLGLLLGGGLGLGGLGGLGLGGGLGLLGLGLGGLLGGLLLGLGGGLGLLLLLLLGGLGGLGGGLGL"

{88,58,69,98,113,98,92,78,98,34,100,5,126,75,17,160,16,177,23,76,99,93,177,124,107,96,165,31,56,168,50,4,109,89,184,178,39,101,52,8,110,37,63,124,44,25,148,57,15,158,185,163,124,109,163,9,82,184,22,23,2,112,100,182,62,128,120,145,65,99,115,125,8,161,90,14,119,170,9,154,183,35,139,159,128,148,57,69,41,77,101,35,10,38,67,28,180,17,8,52,48,83,177,161,160,182,20,178,24,146,86,106,126,13,165,60,30,40,41,116,169,14,144,103,75,73,126,163}

{103,34,104,66,21,48,14,83,124,64,177,43,166,46,170,54,41,141,26,85,44,106,124,118,22,76,171,115,181,72,134,144,29,74,148,153,7,114,171,35,58,138,60,125,134,71,25,160,56,185,33,43,1,75,55,145,25,171,151,78,145,167,137,70,161,45,58,2,71,117,54,40,183,130,38,106,153,53,3,99,98,119,116,154,61,156,14,86,122,91,109,102,104,29,115,171,152,178,164,103,47,114,143,167,144,46,91,151,70,184,184,175,37,109,3,11,174,16,77,55,120,184,34,141,42,164,86,18}

{2,83468583,1,616968,13547920,9,326077107,62648673,1,1,1,8,11777829,1,120403407,1,1,3682158,4,296400,2,22198940,4027226,1,3,1647490,1,273990512,1,736735506,1,198270482,1,274613910,189368886,1,1,347449437,6054336,1,42471,29687065,1,15662892,1,1,1,1,1,1,1,182086640,57751995,10505320,5,36941408,9319788,6,753204333,439895372,1,5045643,1,119878752,19,44549530,95768838,171913056,1,1,2,5461356,1,5817876,12,1,35498386,1,1,277020,1,97672982,1,1,2,20473358,1,29905063,258256849,1,360835672,1,693350,3,2,2715840,130685471,1,3,10064968,144277812,20180187,1,587016324,1,2,2,455703283,1,141671922,78395646,5666540,50411195,39143352,32913765,13669889,4,2,360504385,1,1,94640406,1,2,1,545675790,1,189669180}

Returns: "Solution exists"
132

"LGGGLGGG"

{33,123,102,126,43,103,49,27}

{90,127,29,47,19,39,88,81}

{14635780,2,4,1,4047204,1,2,1}

Returns: "Solution exists"
183

"LLGLLLGLLLLLLGLLLGLLLGLLLLGGLLLLLGLLLLGLLLLGLGLLGLGLGGLLLGLLLLGLLLLLGLL"

{32,94,44,153,155,8,151,82,31,98,109,35,45,1,27,93,113,28,22,56,62,37,122,95,63,57,146,116,177,122,40,105,39,13,47,102,98,103,174,27,82,56,12,64,58,163,134,70,36,112,79,126,126,69,17,174,152,158,49,5,176,170,53,28,16,135,86,33,40,3,178}

{21,4,99,72,55,160,110,67,102,93,173,6,59,90,74,145,33,108,30,18,128,69,119,84,78,59,69,57,173,95,136,109,9,124,177,8,73,29,163,162,24,107,155,20,160,169,2,18,18,164,56,21,135,38,178,159,89,93,31,146,115,151,107,5,148,153,108,19,61,107,147}

{10150876,28097615,1,13661856,35676927,6985,1,447965890,7103067,17735124,55280841,360082341,8511993,1,20954150,6134502,160902090,1,87245610,69641670,209356,1,4763748,1907244,372592280,9334143,1,1,8367702,463419,15181398,66078496,61031553,1,23762174,1650365,1795796,139538364,1,34588550,376451885,99912351,36963765,5,47850,1,272877708,144532430,7,18452973,3,6606180,3,1,757157694,73326378,20784517,1,4982259,50226645,7153468,45924204,1,324503760,146550809,97324704,243806601,14355635,2,136346100,214795286}

Returns: "Solution exists"
124

"LLLLLLLLLLLLLLLLLLLLLLLLLLLLGLLL"

{11,4,37,5,34,15,47,68,82,47,75,112,16,73,113,69,55,63,45,87,73,96,47,20,116,23,59,111,39,53,113,65}

{23,119,57,14,112,5,21,86,19,114,100,65,84,106,82,25,20,107,98,65,29,109,48,58,83,34,43,78,18,91,6,21}

{321433815,1827724,11976408,146729550,84428208,240401067,39411125,150368592,174515568,17041570,459074,21953250,5291352,652106,16842864,3617328,77035368,6702045,20108634,31451750,701910205,520681560,7702630,25631544,214886382,276044176,27244572,456606359,2,2585878,39938608,217250}

Returns: "Solution exists"
187

"LLLLLGLLLGGLLLLLLLLGLLGLLLLLLLLLLLLGGLLGLLLGLLGGLGLLGGLGLLLLLGGLLGLLLGLLGLLGLLLLLLLLLGLLLLLLLLGLLLLLLLLLLLLLLLLGLGLLLLLLLLLLLLLLLGLLLGLLLGLLGLLLGGLLLLLLLLLLLL"

{103,139,111,101,14,175,107,61,97,4,34,47,64,43,126,3,65,106,166,54,78,31,183,78,50,101,150,123,186,71,79,134,98,174,11,50,32,73,55,2,78,126,55,141,59,28,73,26,80,86,44,125,44,116,21,17,156,166,108,158,56,147,169,160,161,157,144,153,24,170,126,58,19,90,141,17,11,155,56,53,6,17,55,168,133,181,68,121,130,91,64,139,78,92,46,27,43,31,16,79,25,39,116,135,149,180,171,28,184,114,115,101,49,102,66,89,27,182,41,154,171,121,183,122,48,138,163,56,161,115,128,113,167,179,181,70,79,39,182,21,91,89,106,90,23,133,4,165,164,82,77,81,1,90,44,62,145,5}

{55,161,119,25,177,11,60,73,18,115,170,167,154,116,104,16,17,99,55,73,146,166,100,159,76,178,54,27,1,86,114,22,137,40,177,49,173,117,66,90,143,68,2,83,26,26,124,18,83,125,136,44,57,77,119,89,83,2,19,23,164,108,97,127,51,27,177,83,20,134,83,51,169,79,27,115,97,49,80,82,143,158,103,100,151,103,155,113,141,59,28,11,100,102,146,24,44,121,13,164,164,30,173,122,84,37,133,124,84,102,117,28,131,54,119,43,96,8,12,157,144,174,181,146,172,42,79,9,28,85,73,4,16,69,73,174,103,70,156,103,105,175,73,24,86,102,7,53,107,97,21,20,170,76,93,26,110,115}

{115628436,4437675,189849885,134660526,1704258,1,488598220,72459989,36886876,1,1,32888022,206842974,416791504,63204,3583230,24644656,188229416,22966812,1,254872030,190935954,1,598786370,24875,20789769,21369036,3050685,114541924,10502968,10245579,2589650,274529595,206261120,22208531,1,7,142592856,546694236,6,52785740,130642668,79741332,2,204413420,152614085,7,1,10082334,1,59614054,188054742,1,2,577497423,1,109890822,221428614,490133644,146005793,19073544,1,1,607643036,15055425,1,16305884,79496740,41816544,1,77467036,81625565,2,25515762,199607244,1,54468263,179411029,3630408,48876378,101915860,328374301,115628436,10938395,28159866,3,496055196,50688050,69169972,67085948,19473766,13955245,125508110,5848110,1,45556896,187661042,150428502,98624442,14967834,46142418,13919965,226347184,288133902,517778919,27625107,224515098,93939300,454881758,21240594,12393960,13,164420488,6,566981169,481259769,428464086,2441073,70331109,271400691,55429948,184283008,192152292,107977401,2364765,3325200,2304502,4324184,405951975,1,14601146,347215225,9773022,1,274651881,158194816,30852066,1,9877323,707697102,1,175295433,254891938,30255456,1,9,331909411,15797832,364399770,63537294,75359946,267225366,23707679,24435210,202668886,166441570,508424800,85966540}

Returns: "Solution exists"
108

"GGGGGGLGGGGGLGGGLGGGLGGLLLGGLLGLLGGGLLLGGLGLGLLLGGLGLLGGLGGGLLLGGLGLLLGGGGGLLLGGLLLGGGLGLLGGGLGLGGGGGLLLGGLLLGLLGGGGLLLGGGLGG"

{3,105,47,46,6,82,30,37,37,10,103,66,100,106,2,66,20,70,18,54,5,24,61,81,16,57,41,73,78,104,28,93,76,0,42,97,43,92,101,17,46,69,78,19,86,43,75,88,62,80,33,58,52,105,55,24,78,18,31,57,20,24,27,64,62,14,87,71,101,48,2,39,95,26,94,65,39,68,100,91,97,36,15,44,3,86,99,84,59,44,50,42,9,85,71,59,12,23,18,86,60,0,74,47,94,99,78,80,6,22,4,25,19,79,46,63,91,98,101,102,21,85,13,63,13}

{39,48,80,40,34,74,80,36,74,75,64,38,1,35,86,99,47,56,2,10,10,54,69,38,61,15,23,66,92,53,89,37,77,9,75,64,65,78,107,5,48,79,2,53,1,26,15,41,56,34,5,96,34,50,56,77,106,94,72,27,13,102,45,0,91,105,15,51,87,24,25,80,94,51,71,106,63,35,12,59,10,10,60,11,37,19,79,78,90,69,35,102,67,98,19,16,74,103,64,67,50,96,15,27,19,14,35,13,46,4,21,18,12,3,74,57,16,69,25,4,3,49,95,56,26}

{1,2,293,1,1,2,11158026,1,1,2,2,1,345414784,1,1,5,59628723,2,1,1,162788790,1,8,45840130,36918200,9237536,1,4,492239222,2080052,9,450625131,356499528,11,2,1,380862798,492239222,26966772,15,2,20377696,1,473200,16,711297678,10783102,133496160,3,2,99286710,1,37162024,334933810,6,1,622286406,2,1,4,129126752,228813390,2291408,2,1,474952522,2,194739272,50544900,151404578,1,6,7,1,14,409359762,338475372,154804975,1,2,207617970,91182854,79899666,1,1,16,49665840,1,543036002,588759840,1,6,1,84703990,56,648149150,8,3,2,1,1,114961418,4059352,45031756,14,1,620536793,7097046,423765996,1,56834070,214580168,8,1,4,4,670716200,10669791,683794188,10,1,1,65702175,4,1}

Returns: "Solution does not exist"
63

"LLLLLLLGLLGLLLLLLLLLLLLLLGLLLLLLLLLLGLLLLL"

{3,48,15,5,27,49,49,48,13,44,15,15,53,4,19,8,50,18,44,48,37,23,42,35,59,60,18,44,34,42,13,27,31,22,16,24,34,2,54,30,7,55}

{31,53,28,19,45,17,57,54,21,37,44,14,54,18,25,58,34,54,27,46,32,49,15,56,29,53,44,26,1,3,59,36,33,53,50,40,24,9,39,5,51,33}

{23214300,10266138,51193764,52892196,439161338,42082968,4696968,2,5014506,148914295,1,90031248,41928744,13985940,366815028,34810959,171269799,295718280,108505331,161959104,634180280,271752,68153364,100629444,28730955,3,161981130,129763494,17308305,11713332,9552774,329598841,147648300,42356982,240499408,79584498,3,282732984,456456,303455796,3642786,34177602}

Returns: "Solution exists"
113

"GGGGGGGGGGGGLGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG"

{63,96,6,11,40,89,108,74,30,102,99,13,38,84,18,43,79,29,90,30,60,105,105,46,46,2,5,31,99,52,96,50,45,60,109,9,104,95,7,50,70,90,91,41,75,39}

{81,56,111,98,7,84,81,100,44,110,32,38,68,72,41,70,93,79,97,95,68,96,109,25,27,99,35,35,15,23,12,42,70,83,42,18,14,71,81,38,99,51,72,8,88,85}

{2,1,1,1,1,1,2,1,13,35,1,4,42886788,1,1,1,1,2,1,1,1,1,1,1,3,2,1,1,2,1,1,1,1,1,1,12,1,2,1,1,1,1,2,1,1,1}

Returns: "Solution exists"
76

"LLGLLGGLGGLGLGGLGLLGGGLLLLGLLGGGLGLGLGLGLLGGLLLLLGLLGGLGGLGGGLLGLGLGLGLLLGGGLGGLLLGLLGGGLGGLLLGLGLGGLGLGLLGLLGGLLGGLGLLLGGLLLLGG"

{2,30,10,58,34,14,20,23,37,0,69,12,66,43,20,29,12,45,38,25,43,27,18,17,39,39,50,32,75,72,74,25,37,63,15,65,55,14,66,57,7,24,17,74,75,12,2,38,16,60,41,16,60,64,24,63,19,33,31,70,20,42,1,35,2,58,19,5,6,11,60,5,12,34,29,22,70,27,38,75,25,43,20,26,6,75,44,44,10,27,21,24,41,66,18,39,40,44,66,47,6,2,16,71,41,63,71,45,37,47,15,15,54,6,20,20,38,55,67,32,16,16,57,62,70,35,0,50}

{68,71,12,23,0,65,58,4,59,68,70,35,10,13,37,61,74,21,64,50,53,65,21,72,25,18,11,55,10,23,13,57,74,19,3,68,0,21,24,11,59,13,25,69,23,60,17,0,59,16,32,46,0,21,73,9,38,43,30,34,19,15,71,29,52,49,18,75,30,0,1,4,60,44,73,62,10,0,66,65,21,1,59,41,44,69,32,14,7,48,53,75,47,27,62,5,42,34,36,65,15,4,25,15,33,33,3,72,19,49,49,46,29,9,51,32,48,58,50,48,58,22,59,64,7,41,11,14}

{163197558,4516452,1,253000777,14611779,2,1,496960890,5,1,194117040,1,483382064,4,1,22991260,14,30530520,9475356,1,4,2,439517016,2054441,22744131,467175237,1,23297598,3484041,1,2,1,3150840,4,45443972,1,101800746,2,50090640,1,552810420,7247820,1,186,5870919,19383910,2885166,18055092,4977855,1,13495676,2785237,1,3,608505,2,4,41106080,19,13,1,14065548,69827364,1,82584306,1,741270468,3,30136185,1,24450505,19851030,19383910,87693250,5,1,237094715,1,4,676914,21397608,476443360,1,44770740,64996605,3,1,1,437778748,1,4,120345,56094812,105825712,1,40950594,3,9363627,2,1,63512820,6,294743,4,23372012,56671708,2,106485135,35704680,1,38,6148324,1,1,1,30988609,1,157126122,99207613,40613601,1,1,140392035,117280938,387944180,168165444,1,1}

Returns: "Solution does not exist"
57

"LGLGLGLGLLLLLLLGLLLLGLLLGLL"

{28,1,38,51,46,25,33,50,1,28,44,36,29,0,4,22,22,3,21,38,5,38,8,23,36,8,32}

{27,48,49,56,42,11,56,3,52,23,43,28,22,29,17,12,51,51,49,1,31,31,53,47,6,45,19}

{6595908,1,115583320,2,72828364,1,38064642,1,40416980,26185896,138690816,167976732,362916655,314077466,150630172,1,85813930,224596870,3315080,133744630,157,97983700,332044090,132264360,1,101234865,18477275}

Returns: "Solution exists"
67

"LGGGLLLGGLGGLLGLLLLLLGGLGLLGGLGLLGLGLLGGLLLLLGLLLLLLLGLGGLLLLGLLG"

{38,34,60,3,4,7,17,25,25,52,38,11,50,7,23,47,64,33,11,35,24,28,11,33,15,64,29,12,28,48,57,55,9,62,4,23,43,31,45,52,45,0,30,44,11,50,27,20,59,48,43,19,33,29,64,7,8,22,44,47,34,10,27,54,19}

{46,13,32,66,42,8,65,38,16,37,27,29,46,44,56,22,20,13,36,13,49,4,37,46,63,9,5,6,32,13,29,38,50,11,10,30,25,4,40,1,8,30,65,32,63,1,11,51,5,15,45,42,58,65,44,47,61,34,14,46,58,63,6,11,4}

{57820332,3,2,7,305214408,112450826,7490640,4,1,23974012,3,1,227050572,25955928,1,311215365,9437072,923115,11693510,5925948,350738377,1,1,17005980,3,472539063,38961792,1,1,1494996,1,21637668,81132891,2,682082577,1,151907580,240549849,2,1,22551678,71305882,5553552,21082536,10050,3,13509210,431568,115488640,918312,4661910,25563992,3639570,3,33284808,1,1,58346793,2720664,795133260,159519690,1,85047534,8415870,1}

Returns: "Solution exists"
80

"LGLLGLGLGGGGL"

{24,71,28,27,56,12,39,63,24,67,41,21,10}

{57,61,1,58,15,74,76,45,28,65,65,45,62}

{31123872,1,36215136,323747254,2,141179944,1,62639353,8,2,3,1,16642248}

Returns: "Solution exists"
123

"LLGGLLLLLGLGLLLLLLLLLGGLLLGGGLLLGLLGLLLLLGLGGLGGGLLGLLLGGLGLLGGLGLLLLLLLLLLGGLGLLLLLLLGLLGLLGGGGLLLGLLLGLGLLLLGLLLGLLLGGGGGGGLGLLLLGLGGGLLL"

{27,114,47,70,59,31,95,22,93,48,102,73,6,47,33,43,106,39,16,44,15,11,19,116,115,15,8,111,18,46,0,31,116,49,99,119,70,65,27,35,3,47,100,0,87,82,103,91,8,16,119,31,23,94,9,106,107,70,7,20,97,115,81,121,70,89,111,109,50,34,5,67,0,40,7,54,26,1,61,87,81,0,65,80,18,106,41,109,67,73,83,66,108,54,5,6,9,56,13,118,68,73,50,27,113,95,101,111,82,23,115,15,121,41,39,13,35,108,47,118,118,46,53,11,13,109,12,5,114,21,21,78,30,72,101,115,21,114,85}

{20,110,0,106,117,33,60,77,85,60,70,67,29,78,48,20,44,101,28,17,102,35,96,36,37,27,103,77,1,101,4,35,31,71,63,121,90,10,68,25,88,43,107,93,71,41,62,52,38,32,84,73,47,52,67,65,110,30,97,9,4,100,60,77,21,119,66,91,55,111,109,81,65,24,33,101,94,9,115,39,87,31,49,5,73,56,47,115,34,107,31,59,67,34,104,25,75,102,71,82,59,34,97,14,47,15,25,0,81,63,93,97,72,110,36,81,120,110,22,11,52,70,31,70,42,75,2,29,39,0,96,99,35,11,119,98,118,122,62}

{190548644,7053268,1,1,74291058,3403400,585870180,7353450,72163122,1,455083497,1,156349930,486693957,7376600,108292476,51539912,30195789,4103954,230233912,65775150,2,1,557757060,183819380,93543450,1,18,1,115596426,80708810,19890,5,148216250,14361594,2,17917207,1523970,158552966,23450310,471374572,3,23042128,1,2,215772136,1,1,1,177567662,170954650,5,566246013,85792249,91403685,2,4,265859484,1,134074260,23115274,1,1,14496300,1,101796650,285561576,792360,23508912,483790248,35724360,194923079,10557090,42580902,308754600,1,1,251572815,1,2040636,9701276,3161405,5996250,93227162,22559600,196595890,1,27408840,223400609,8,15919735,342896098,1,1,1,1,182431260,778697235,138237876,4,165330118,214492600,27990704,1,132493029,30,159525774,316197720,195094952,80762546,1,30112950,19824,193721812,1,289434132,49267530,11373280,5,4,1,11,1,1,2,43392360,1,69645730,6178146,5893660,9428620,1,51992460,4,1,1,610996,4824706,114780162}

Returns: "Solution does not exist"
132

"GGGLGLGLGGLLGLGLLLLGGGLLGGGLLLLLGGGGGGGGGGGGLGLLLGGGGLLGGLGGLLLLLGLGGGGLLGGLLGGGLLLLLGGLLLGGLGGLGGLLLGGLLGGGLLLLGLGGG"

{54,67,93,32,109,30,43,109,20,35,107,2,15,119,110,119,91,9,111,15,104,22,1,83,100,90,110,68,81,91,41,108,99,52,22,58,45,71,9,42,62,43,29,63,104,21,29,8,45,76,88,56,68,70,105,86,1,42,22,131,128,127,34,61,11,47,129,64,32,36,26,48,13,129,29,71,96,57,6,103,98,40,106,46,102,111,49,104,56,129,32,105,111,62,45,32,15,11,55,120,96,26,43,89,17,51,55,73,37,76,29,128,109,78,84,37,95}

{66,68,10,44,87,122,67,65,68,65,115,76,14,118,23,33,12,67,66,103,57,41,5,12,63,15,126,26,77,98,30,91,57,125,81,17,63,60,57,125,83,120,130,79,101,66,81,70,130,103,86,97,32,66,51,118,30,32,82,98,130,100,42,81,36,79,65,42,4,85,45,3,6,69,93,126,111,66,82,7,131,120,129,20,9,114,39,25,123,87,114,110,39,82,118,22,81,45,37,105,51,46,118,93,121,105,45,1,69,40,94,33,95,13,63,9,84}

{1,1,1,55845,1,6408444,1,776832,1,4,1548672,483363720,1,23709035,3,71437365,757209036,31633090,42555543,1,1,1,193373058,38282419,1,1,1,489088634,326812016,109594968,50147797,5373372,3,1,1,1,1,13,1,3,7,5,6,1,43019113,1,6481296,142220442,50394750,17,9,1,1,154246326,128232258,1,1,103995,1,7,19615722,108868638,18108996,224711600,32326630,1,10624,3,1,1,1,186239095,65022274,1,18,176883629,29092785,1,2,1,55207320,254734120,472436,16257888,3065270,1,3,5367487,73205241,3633740,1,1,20975775,4,5,1189395,1,5,188500870,114849185,220415370,2,5,26200710,598271322,1,29,1,1703035,2596104,53504712,7797186,1,49843150,1,5,1}

Returns: "Solution exists"
117

"LLGLGGGGGL"

{42,19,34,40,30,94,6,89,103,12}

{111,15,69,89,95,97,73,0,105,6}

{617761946,75691895,6,702566702,170,3,3,2,1,4245516}

Returns: "Solution exists"
62

"GLGLGGGGLGLGGGGGLLGGGGGGL"

{15,61,55,17,12,48,31,43,54,8,23,13,15,27,40,57,27,9,50,38,50,11,23,52,22}

{56,48,1,16,48,20,52,59,50,2,20,46,19,23,9,41,2,25,12,22,20,44,15,23,53}

{1,3768618,1,7183477,6,6,4,1,8569188,1,499693392,29,1,11,1,1,370018,321595514,8,6,36,3,1,1,139307400}

Returns: "Solution does not exist"
100

"GGGGGGGGGGGGGGGLGGGGGGGGGGGGGGGGGGGLLLGGGGGGGGGGGLGGLGGGLGGGGGGLGGGGLGGGGGGGGGGGLGGGGGGGGGGGLGGGLGGGGGGGGGGGGGGGGGGGGGGGGGLLGLLGGGGLGGGGGLLGLGGGGGGGGGLGLLLGGGGGGLGGGGGGLGGGGLGGGGGGGLGLGGGGGGGGGGGGGGG"

{37,75,77,41,23,7,83,95,53,65,65,96,74,69,58,59,82,70,53,29,30,52,86,68,50,62,56,79,48,99,36,95,70,47,81,1,90,61,81,0,54,23,23,97,40,30,17,88,50,87,5,29,36,93,35,71,20,63,93,68,87,21,66,81,39,7,91,36,25,14,43,59,60,11,85,43,9,55,43,94,5,35,94,88,45,44,68,32,20,19,9,26,42,40,82,12,99,55,65,82,22,54,45,65,52,96,41,55,40,86,51,72,28,92,24,23,84,43,49,60,10,52,60,65,18,64,36,15,91,6,89,27,5,65,3,73,97,91,13,4,19,57,97,50,50,9,55,97,10,84,15,30,61,64,27,54,86,56,20,59,70,86,66,16,3,90,42,47,40,88,8,18,66,1,42,97,52,17,44,62,82,60,72,23,93,69,80,43,83,14,66,43,9,97,64,40,72,3,56}

{53,66,13,82,18,19,98,10,16,69,52,6,54,87,42,99,47,21,87,81,64,46,23,40,10,50,80,48,68,48,58,92,82,43,83,9,86,13,36,92,9,21,64,60,82,78,86,61,15,7,86,42,65,17,3,36,50,62,36,36,56,23,3,50,15,9,54,62,42,47,41,76,82,60,91,11,44,39,92,69,73,34,34,61,91,16,95,13,61,9,79,67,82,24,27,39,91,31,57,78,83,33,65,32,31,89,60,5,13,57,27,85,12,50,91,39,68,42,55,23,48,94,85,11,35,42,80,83,63,10,54,95,35,94,34,62,2,12,92,0,31,33,65,23,84,38,81,90,62,80,82,42,35,22,22,79,45,18,63,58,41,9,99,99,69,7,18,84,97,66,71,91,12,15,60,25,21,46,23,0,41,30,53,71,32,93,17,19,75,11,84,0,84,29,73,12,82,96,70}

{1,2,2,1,1,7,1,1,1,1,1,1,3,1,6,254916042,1,1,1,1,1,6,1,1,1,1,3,1,65,1,2,1,2,1,1,3724604,208128655,37040808,1,1,1,1,1,1,1,10,1,1,5,79470230,1,1,125866960,2,2,1,190942380,1,16,5,1,1,2,209073015,2,1,1,1,102629934,1,3,1,1,1,4,2,1,4,1,1,85377487,3,1,1,2,1,1,2,1,13,1,1,93435804,3,1,1,14178380,10,1,2,1,3,1,1,2,3,1,1,1,1,1,12,1,1,2,1,1,6,1,1,1,8,47565852,158345626,3,93091482,509769360,5,1,1,3,51335691,1,1,1,13,4,1432180,64635368,5,4211480,3,1,1,1,1,1,1,1,1,373564660,2,52138074,35935396,25104156,3,1,3,1,3,1,630661759,2,1,1,1,9,1,249045708,34,1,1,1,2401780,1,1,1,30,1,1,1,654753790,3,39860417,2,1,9,4,1,2,4,1,1,1,1,1,4,1,1}

Returns: "Solution exists"
149

"GGGGGGGGGGGGGGGGGGGGGGLGGGGGGGGGLGGGLLGGGGGGGGGGLGGGGGGGGGGGGGGGGGGGGGGGLGGGGGGGLGGGGGGGGGGGGGGGGLLGGGGGGGGGGGGGGGGGGGGGGGGGGGGGLGGGLGGGGGGG"

{50,35,6,134,60,56,33,45,50,80,98,22,17,98,119,136,9,70,65,136,58,106,137,123,84,131,140,140,63,95,111,96,64,104,105,35,112,70,119,132,116,72,4,129,77,102,35,71,11,14,94,99,111,136,78,53,141,90,32,38,135,41,47,97,116,52,9,139,9,30,89,17,95,63,98,9,61,57,100,147,18,22,116,55,76,40,69,5,90,144,87,65,116,61,118,49,114,13,1,72,135,44,100,29,106,77,30,1,6,12,67,130,68,101,138,98,43,136,148,7,134,139,117,143,66,12,84,81,76,28,75,101,97,11,122,0,41,147,37,99}

{88,7,85,94,86,122,41,81,60,128,40,116,19,55,140,37,28,127,148,26,72,131,147,57,135,140,58,72,7,108,139,145,104,6,109,105,76,143,16,41,78,137,52,144,81,142,100,32,130,43,37,92,39,41,93,66,88,144,84,110,55,69,18,63,101,104,75,69,25,85,11,71,52,21,70,27,101,33,145,121,117,109,22,127,37,138,122,120,121,16,39,10,28,87,106,18,84,45,58,11,72,53,138,105,132,52,121,61,18,63,143,35,26,108,32,82,101,10,105,45,38,57,70,111,137,35,20,96,22,100,23,3,95,134,57,96,127,65,98,17}

{1,1,3,2,1,8,1,1,1,1,8,1,3,4,2,5,1,1,2,1,9,1,6040808,2,1,1,1,2,1,1,1,1,186302565,1,1,1,699385638,1352266,1,1,8,8,1,4,4,1,1,9,277461246,3,2,1,1,1,8,1,1,4,1,1,1,1,1,1,1,1,1,4,1,1,1,15,66919599,1,2,6,1,64,2,1,367908800,1,1,1,42,16,4,1,1,1,1,6,1,1,3,1,1,34766243,1619964,1,45,5,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,1,1,1,64,2,1,1,1,1,1,35078106,1,1,1,33405646,1,16,11,1,1,8,1}

Returns: "Solution exists"
29

"GGGGGGGGGGGGGGGGGGGGGGGGGGGGLGGGGGGGGGGGLGGGLGGGGGLGGGGGGGGLGGGGGGGGGGGLGLGGGGGGLLGGGLGGGGLGGGGGLGGGGLGGGGGGGGGGGLGGLGGGGGGGGGGGGGGGGGGGGGGLGGGGLGGGGGGGGGGGGGGGGGGGGGGGGGGLLGGGLGGGGGL"

{11,19,21,13,27,19,17,15,6,0,22,20,13,27,1,22,17,17,8,10,6,20,25,22,1,19,17,15,2,21,25,7,0,3,16,10,20,17,23,27,9,7,9,16,27,9,6,9,10,22,26,6,18,16,7,1,18,8,7,3,24,21,18,7,25,25,16,14,18,4,14,6,0,22,23,15,15,14,27,18,12,23,13,17,9,16,14,9,18,3,2,25,24,16,2,11,0,16,26,19,12,19,17,6,27,10,5,21,25,2,21,16,10,7,21,5,27,26,5,4,27,8,2,15,7,11,10,22,7,21,2,24,1,18,22,25,22,7,10,28,9,5,26,28,1,12,7,25,5,18,8,22,19,9,18,25,10,14,7,23,19,14,19,7,1,8,28,14,28,26,4,8,9,19,10,17,19,5,3,13,0,25,28}

{12,0,4,0,5,22,0,2,26,5,24,10,12,19,11,7,23,7,2,14,28,5,18,28,23,9,1,17,9,12,23,18,9,8,14,24,11,12,21,11,28,10,12,18,10,4,27,20,7,9,7,3,15,10,20,7,21,26,19,23,2,19,24,11,4,1,6,20,26,18,15,22,26,0,20,21,21,24,28,28,15,21,9,21,18,8,10,22,11,5,16,17,15,27,6,16,8,17,24,26,2,21,19,11,8,25,15,27,0,8,11,2,16,16,9,10,21,19,4,14,16,7,27,26,15,20,11,15,25,12,13,6,28,0,11,18,11,13,28,24,5,21,1,2,23,18,14,9,8,22,16,17,0,3,3,8,6,4,6,14,20,13,11,3,19,27,5,13,8,20,19,17,17,0,13,9,1,7,12,9,9,11,10}

{1,1,1,1,35,1,1,1,7,1,1,1,1,1,1,1,1,1,3,1,1,3,2,1,1,1,9,1,95343930,3,1,1,1,1,1,1,1,3,1,1,396852390,7,2,1,38255735,1,7,1,7,1,66672515,1,1,1,1,5,1,1,1,354646685,3,3,1,1,1,1,1,1,1,29,1,45594794,1,72331993,1,1,1,1,1,1,73764642,37435341,1,3,1,461034516,1,1,1,5,86141871,1,1,1,1,1,175631052,1,1,1,3,4840191,9,1,1,1,1,1,1,3,1,1,1,355136215,1,7,22640415,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,9,1,1,1,1,1,1,99166365,10,3,1,9,366768180,2,1,1,12,1,1,1,1,5,1,1,7,1,7,1,3,1,1,5,9,1,201,1,3,1,1,54585756,144639990,1,1,1,15807060,35,1,1,1,1,556509303}

Returns: "Solution does not exist"
73

"GLLLGGGGGGGLGGGLGGGGLLGGLGGGGLGGGGGGGGGGGLGGGGGGLGGGLLLGLGGLGGGGGGLLGGGGGLGGLLGGGGLLGLLGLLLLGGGGGGGGGGGGGLGGGGLLGLGLLGGGLLGGGGGGGGGGG"

{15,68,14,22,3,10,44,62,0,0,24,11,32,42,47,70,19,18,17,62,15,30,21,5,2,18,7,42,34,68,35,0,64,25,42,1,68,39,0,63,28,34,19,46,17,52,36,13,38,1,39,38,25,23,43,25,58,49,70,24,38,17,53,11,18,18,0,28,67,53,16,7,35,48,69,41,22,19,0,33,38,69,47,49,63,23,54,45,41,58,12,4,18,26,67,35,12,32,34,53,56,52,6,35,72,26,48,13,6,21,62,12,62,3,37,28,16,59,72,30,5,72,3,43,36,62,63,29,60,38,8,41,29}

{2,72,12,26,65,4,69,71,69,64,46,23,68,60,49,24,32,12,47,18,29,47,9,36,41,21,60,24,64,15,28,27,11,16,17,43,27,56,7,31,16,50,40,15,38,44,68,3,32,55,2,37,1,49,4,6,27,1,28,9,6,42,26,47,11,41,32,12,38,30,61,18,48,41,28,44,12,65,59,70,67,30,61,70,69,1,57,55,72,48,3,55,15,57,36,58,63,27,7,0,41,20,42,13,58,14,46,41,2,6,4,34,22,19,53,35,35,1,34,64,48,14,2,7,21,41,36,47,28,12,6,25,58}

{3,99426327,13347918,37847288,3,1,1,1,1,3,1,110236700,1,1,3,5241900,4,18,3,1,125361990,5281464,1,3,27433932,9,2,1,1,42678405,1,3,1,1,1,2,21,1,2,1,1,527993011,1,1,3,1,3,4,52482504,5,1,2,60872390,34298796,518817642,1,74980332,2,1,3651756,1,1,1,1,1,4,11998104,112031334,46,1,135,26,1,20099308,1,4,9711432,204016716,2,1,46,1,8689545,22472700,1,100467220,377264970,1,33168772,135524916,8248356,72546695,9,1,1,3,1,1,169,1,1,1,1,1,1,52019362,1,4,1,1,57450929,234717678,1,21701532,1,174387201,118078965,10,13,3,311523117,67137434,3,2,3,1,1,1,1,186,1,1,2}

Returns: "Solution exists"
180

"GGGLGGGGGGGLGGGGGLLGGGGGGGGGGGGGGGLLGGGGGG"

{10,168,102,78,103,28,11,19,97,158,123,61,91,68,60,7,87,104,48,127,2,12,165,40,65,70,157,77,26,39,44,170,161,69,36,149,132,60,72,70,77,88}

{163,104,23,120,63,161,20,62,58,147,111,103,96,101,84,54,147,127,137,57,76,160,122,144,74,59,66,111,13,81,2,171,142,7,24,0,93,55,31,90,135,127}

{1,2,1,114003972,1,1,1,1,1,3,1,6556086,1,2,35,4,21,2172976,563015350,1,1,1,1,2,1,1,1,2,1,1,1,1,1,1,276984270,7203505,1,5,1,1,2,2}

Returns: "Solution exists"
53

"LLGLLLLLGLLGLGLGLLLLLLLGGLGLLLGLGGLLLLGLLLGGLLLLLLGL"

{31,25,16,37,36,38,0,38,52,0,23,1,52,4,10,24,47,40,29,20,27,49,24,43,33,21,24,4,12,9,18,50,42,38,23,26,15,29,26,34,0,40,16,15,8,47,7,40,22,7,43,21}

{8,17,33,47,42,3,45,48,47,30,37,47,11,32,38,28,29,43,6,7,23,6,51,38,18,38,2,0,8,15,0,34,0,10,48,38,44,8,44,10,18,35,3,44,14,3,9,35,4,17,35,1}

{71827839,1251790,1,51546362,134623899,122424192,7524080,319777920,1,7197498,39796862,1,412080,1,15041664,1,18893094,37614936,33772530,388391616,5410910,76438140,302544856,12,1,21960576,1,2207602,6141782,32267244,1,4642802,1,11,384631870,61649280,305045988,8243598,2,187681318,11727525,131011896,131011896,2,68916307,95363731,122415936,1,6224902,21115840,2,27812917}

Returns: "Solution does not exist"
33

"LLLLGLLLLLLLLLLLLLLLLLLGLLLLGLLLLLLLLLLLLLLLLLLLLLLLLGLLGLLLLLLLLLLLLLLLLLLLLLLGLLLLLLGLLLLLGLLGLLLLGLLLLLLGLLGLLLLGLLLGLLLLLLLLLLGLLLLLLGLLLLLLLLLLLGLLLLLLLL"

{28,9,27,23,18,30,18,26,6,7,30,25,10,29,4,26,1,26,13,3,27,2,24,3,32,19,32,32,5,29,7,14,6,22,27,26,1,27,19,24,14,27,24,31,29,31,25,23,5,21,13,25,11,7,12,5,7,20,7,24,1,31,13,16,25,31,18,29,19,27,22,14,16,28,23,5,22,27,28,20,17,29,16,31,14,11,4,23,2,8,19,32,22,12,19,10,26,32,27,20,30,14,17,7,4,23,14,10,31,29,1,1,28,13,31,6,5,23,15,15,14,0,2,4,16,26,11,26,16,0,26,20,15,10,17,0,8,16,20,6,31,1,32,8,12,21,32,22,9,12,28,14,16,19,19,10,27,4}

{10,0,21,24,7,4,0,6,18,30,2,20,30,26,21,0,18,7,26,6,19,29,15,11,8,27,15,29,15,16,28,11,8,23,29,14,28,1,22,29,28,28,7,9,1,3,26,27,19,23,18,1,1,13,25,25,29,18,17,4,0,3,16,19,6,9,21,13,8,24,0,17,27,3,32,7,27,31,14,25,16,9,24,9,26,9,28,1,6,11,13,2,5,15,28,18,11,5,30,16,2,25,28,12,19,15,17,24,27,20,13,15,32,30,14,1,9,11,20,6,10,26,16,17,13,32,6,22,19,18,25,8,28,28,5,1,2,19,12,7,32,26,27,12,21,11,5,2,25,28,22,21,24,9,6,14,9,28}

{6512745,96104205,132597308,8937120,1,293265568,468411675,18769806,56868075,56261408,41616544,9242030,48635680,150390174,287011474,154603374,380375725,54708402,141837378,57811644,25016,41142057,24893170,2,517210110,25016,100573006,374668998,1,184336119,37669485,121441616,975645,26051808,4540404,265768656,259334895,223630532,157875976,92735610,365990160,181428540,11245010,322778655,382914543,533108572,628040658,12908256,303969416,43760928,429733725,533026627,172103254,1,779788828,724515526,1,9233350,58053338,58615210,393641943,533108572,173852793,645938136,79690149,322778655,225536275,144200661,739598040,27079820,555797148,282018064,322969068,313714140,36107616,63112294,78937988,308309692,365990160,7,577202634,93485205,621943568,322778655,265768656,126052470,1,73804512,5134833,284592690,505298184,33605974,2,150370844,362857080,5,101390658,212569594,67743328,56031570,1,752241616,324244770,67927132,338641592,23731872,282018064,5,308309692,46474890,1,102786371,253750470,437591136,111804930,1,318234690,19868064,12475330,1,56645840,154603374,49602141,302606098,173852793,184264302,25730298,265895052,645938136,468411675,1,12831210,83389245,6512745,271623454,393641943,56794365,1,28379260,6941781,431209606,376639014,109407476,773302140,277279756,102045226,212569594,48493724,390401235,1,366164220,267484432,111804930,327584520,66867768,56645840,163792260,392708370}

Returns: "Solution does not exist"
94

"LLLLLLLLGLLLGLLGLLLLLGLLLLLLLLLLLLLLLGLL"

{89,35,72,59,75,36,91,25,39,39,61,11,10,67,21,58,32,48,45,79,28,70,60,41,59,88,47,85,68,24,15,23,12,54,30,58,57,81,86,77}

{21,31,17,38,80,73,3,20,35,8,16,55,7,46,70,47,69,40,14,58,41,25,17,80,75,93,52,29,61,65,46,67,67,58,62,35,22,74,22,12}

{162021237,30365478,183260979,276694929,334773075,203459824,717261682,289882200,1,27322973,657968211,37065735,1,47495084,168561521,1,9945978,43033872,4845555,60543480,80770080,1,234605547,325895115,107554725,708337044,803328614,415621418,234355815,80705695,11341810,112332948,23456524,464006244,1900767,247974948,200151555,7,384277470,91744156}

Returns: "Solution exists"
82

"GGGGGGGGGGGGGGGGGLGGGLGGGGGGGGGGGGGGGGGGGGGLGGGGGGGGGGGGGGGGGGLGGGGGLGLGGGGGGGGG"

{22,7,24,76,64,47,78,62,8,55,28,71,32,35,25,57,50,55,34,25,36,29,15,41,77,41,55,33,6,23,50,1,17,40,64,34,13,63,11,45,13,2,21,45,2,45,52,30,16,0,69,50,27,9,42,32,34,56,23,26,69,28,28,19,49,0,78,65,50,37,59,80,60,78,72,39,39,3,55,52}

{46,32,30,33,80,1,1,8,80,47,38,19,73,23,64,36,54,9,23,7,54,79,79,75,40,21,27,54,36,70,29,27,44,77,77,66,73,44,10,76,23,38,75,39,41,74,72,45,63,42,71,51,7,49,48,70,40,26,6,32,60,61,13,63,35,42,70,69,63,16,2,71,39,6,73,74,15,68,65,6}

{3,2,1,3,15,1,1,2,1,1,1,1,1,1,8,5,1,1802428,3,8,1,30116268,2,1,1,1,1,1,5,1,2,1,26,1,1,3,1,2,5,4,1,1,1,1688960,1,1,1,1,1,1,2,2,1,2,1,86,6,1,3,1,4,144,121347360,1,2,1,1,1,73135630,1,79444880,5,4,1,1,1,2,4,1,1}

Returns: "Solution exists"
84

"GLLGGGLGLGLLGLLGLLGGGLGLGLLLLGGGLLLLGGGLLLGLLLLGLGLGLGLGGGGLGGGLLGLGGLGGGLGLGGGLGLLGGGGGGGLLLLLGGGGL"

{29,71,71,45,71,9,14,12,40,60,54,82,80,28,33,5,49,34,66,43,77,32,78,5,62,53,82,63,70,42,2,66,64,43,18,59,73,54,61,8,51,41,20,11,37,9,25,55,48,83,68,46,56,52,69,0,36,67,53,79,14,44,10,44,36,4,20,6,6,14,76,3,61,1,52,44,72,25,11,75,44,47,31,9,37,32,42,62,36,83,44,48,44,69,76,53,82,14,2,34}

{0,46,8,14,24,30,31,79,57,5,46,66,31,16,28,55,68,3,25,61,19,53,55,17,2,32,32,13,40,7,7,59,23,10,68,16,62,20,21,5,53,5,23,7,39,55,40,31,80,10,65,83,50,42,52,30,18,41,65,55,71,51,78,43,40,66,46,13,66,45,57,62,5,43,60,56,4,55,44,45,16,68,20,79,32,49,30,32,82,31,12,18,76,75,35,30,21,0,79,70}

{1,22799280,6831840,1,4,1,5421526,5,8749280,1,5386416,29411526,1,119414277,64220218,1,27037856,312875010,1,1,18,45096140,1,255632250,12,45096140,55036815,79950,18554970,6,6,2,4734702,132084028,141476954,498609486,19,2,1,12908256,5769124,3470970,2,57278016,414689570,114967219,39420930,1,83199423,1,24026978,1,67741212,1,419264878,1,1,1,2,277007115,1,1,2,19428992,20761660,1,18464432,5,1,418510443,8,2,1,306282604,1,1854336,1,1,64,122696808,1,68443862,41842526,1,1,1,3,1,1,1,6878080,130674039,2538624,212665272,10803576,1,3,1,3,106323714}

Returns: "Solution exists"
198

"GGGGGGGGGGGLGGLGLGLGLGGGGLGGGGGGGGGGGGGGGGGGGGGLGGGGGGGGGLGGGGLGLGGGGGGGGGGGGGGGGGLGGGGGLGGGLGGGGGGGGGGG"

{177,108,136,178,30,184,168,113,30,46,107,151,164,91,106,133,173,166,85,139,117,59,35,132,90,194,144,47,18,97,130,137,160,17,184,15,145,191,35,143,165,89,127,88,63,130,37,139,145,193,193,12,67,53,158,58,161,172,48,39,31,93,106,27,147,41,184,139,148,115,161,25,99,189,121,106,165,195,72,141,111,96,34,173,14,161,86,61,95,75,181,188,95,75,161,136,57,141,174,6,57,172,81,193}

{185,142,11,181,185,158,160,61,112,70,61,140,83,60,50,95,131,131,190,193,46,103,163,43,6,132,89,61,27,157,71,11,61,128,148,66,111,100,42,142,140,187,90,70,34,127,175,37,78,56,12,178,78,153,72,68,122,181,155,192,176,91,149,68,99,111,194,8,90,95,82,190,139,79,109,185,84,185,55,11,155,182,39,79,40,188,46,36,87,48,154,125,117,146,172,113,174,24,94,93,140,14,95,109}

{3,2,4,7,1,1,1,4,1,4,1,360250602,1,1,8200272,1,18642302,1,292841805,1,12336492,1,1,4,1,38070096,1,8,3,2,1,17,1,1,295,1,3,1,1,19,1,1,1,2,1,1,1,299809712,1,1,1,1,1,1,1,1,1,482567358,2,1,9,4,1471460,1,10867296,1,3,1,1,2,1,1,1,1,2,4,2,1,1,2,1,1,177322915,1,1,1,4,1,107444960,1,13,1,180624864,1,1,4,1,2,1,4,1,1,4,1}

Returns: "Solution exists"
198

"LGGGLLGLGLLGGGLGGGLGLGGLGLGGLLLGLGLLLGGGLGGLLGGGLGLGGLLGGLGGLLLLLLLLLLGLLGGLGLLGLLGLLGLLLLLLLGGGLLLLGGLGLLLLLGLGGLGLLGGLGGGGGLLGGLGLGLGGGLLGLGLLGGLGGGGGLGGGGGLLLGLLGGLGLLGLGLLL"

{2,47,187,71,111,116,187,34,122,53,117,56,144,186,78,4,162,136,136,158,147,172,88,80,16,25,125,54,84,129,158,162,158,128,166,97,191,24,120,39,166,168,73,40,120,48,68,39,173,86,28,24,1,138,90,82,157,144,78,70,159,54,122,102,77,18,65,143,70,168,44,61,133,66,182,125,137,39,109,54,180,97,185,45,117,54,24,4,66,116,124,126,85,90,145,134,9,166,121,107,29,132,136,138,19,55,190,44,87,4,142,35,54,59,184,117,126,159,16,4,7,135,87,9,148,94,170,116,140,101,38,179,136,113,181,154,157,114,196,27,50,11,117,14,95,133,51,31,140,114,107,87,79,167,46,191,118,144,54,153,195,18,69,150,49,132,76,39,115,98,62,98,87,48,93,69}

{100,98,98,126,99,13,21,174,6,169,111,6,28,40,31,128,4,89,57,46,16,86,145,189,189,113,178,156,174,115,83,37,57,34,131,77,127,49,40,159,27,102,40,52,102,5,147,3,98,195,139,136,114,181,103,137,63,109,113,145,130,79,94,184,15,196,6,35,116,42,119,159,51,143,133,21,186,65,179,163,54,77,75,39,31,16,172,13,163,15,158,44,24,103,65,97,140,153,126,135,37,185,57,189,6,92,188,37,25,10,129,182,84,91,80,193,104,193,89,61,22,71,174,132,122,43,182,23,195,153,19,28,106,104,23,128,115,131,30,39,107,160,173,87,101,179,91,55,28,62,157,90,60,104,141,102,41,88,109,169,146,131,33,165,87,158,57,107,106,31,191,170,70,174,161,162}

{70268251,2,1,1,532031116,17068840,1,2005692,1,84398900,504918972,1,1,1,41802698,11,1,2,41285760,1,8911572,1,1,199680540,1,6554688,1,1,100724,13157590,8475750,1,24190875,1,391149145,339776010,2910364,58,1,1,3446059,1,1,17664306,18733988,1,4,1,24889376,1,213698604,30,1,278100739,2044240,1,1,3683811,7,1,13809729,65285475,67048,776435121,34109345,33646392,452976885,4278660,11658552,196206112,2,5639267,520411862,1,1,119130427,2,3133395,51000606,1,663050525,339776010,1,3576420,43987014,1,58938150,716575640,30411764,1164871,32144625,11294212,51695400,4,1,14,120916418,303910946,17612492,195855,1,1,41285760,1,359146883,40730900,252137047,228279086,19351936,1,8838790,87,1,380918258,3,288428328,2472304,1,2,14136727,4,1,4,2,1,809506,16138065,1,1,47205134,1,87179418,48,1087296,1,11,1,203548555,1646970,1,120736,2,74986848,892800,1,2,470881082,2,1,7,1,4,32211249,2,2,1,1,1,302319825,205101100,620406202,1,25403893,74588336,4,1,271002309,1,536294448,14600018,1,453462690,8,12585092,424806237,50867878}

Returns: "Solution exists"
33

"LLLLGGLLLLLLLLLLLLLGLGGLLLLLLLGLLLLLGLLLLLLLLLLGLLLGLLGGLLLLLLGGLGLLLLLLLLGLLLLLLLLGLLLLGGLLLLLGGGLLGLLLGLLLLLGLGGLLLLLLLLLLLLLLLGLLGLLLLLG"

{10,25,2,28,19,4,8,4,1,21,3,31,30,8,17,12,30,6,27,10,21,32,1,17,27,28,5,27,32,10,27,21,10,24,24,29,10,17,0,24,16,30,1,3,5,14,1,23,4,6,4,30,12,9,20,7,28,17,1,4,6,28,27,29,9,14,9,7,22,30,5,25,20,11,27,22,14,20,1,6,30,32,16,13,31,3,22,23,1,25,24,6,4,19,18,11,25,0,22,20,9,3,25,7,31,7,31,21,2,15,8,15,13,2,16,1,5,21,26,30,23,8,21,28,13,22,12,26,5,22,16,29,11,29,24,13,13,16,0}

{28,14,7,13,6,7,18,24,11,11,25,28,6,12,24,2,9,10,28,32,6,30,11,18,9,5,6,26,26,28,1,28,22,32,26,16,14,31,22,6,23,2,32,30,30,5,26,30,31,27,29,16,2,24,23,14,15,18,8,22,8,20,7,16,27,11,15,5,3,18,15,28,3,22,2,12,3,28,23,13,5,12,13,1,28,10,18,17,15,29,26,16,1,13,9,28,15,5,25,15,3,6,15,29,0,28,22,32,22,7,22,32,30,12,27,13,20,17,20,10,13,16,28,5,27,10,22,10,1,19,25,3,9,6,26,32,31,7,18}

{377293172,230958109,184940629,284065277,1,1,753159264,212830410,34588281,36947883,400786548,62580564,293644885,112860462,59543529,141361242,247150284,234253540,24836959,1,426443755,1,1,134948704,12979092,277802458,172481810,24950646,446217066,377293172,1,686838359,102558212,240455823,102792834,83022132,1,12138732,1061572,190593435,75016374,213763943,503649653,483098964,231698426,163522322,645917922,1,21694140,15420755,186794140,1,141361242,53471868,1,1,233938912,134948704,53542983,213738460,381142515,75487210,1,2,12979092,1,30562464,200456878,157449252,580258976,186656,392366801,38553540,33167652,1,170032764,340949508,75487210,276031223,176370265,231698426,244988502,87535002,1,62580564,96347364,189115168,47220037,1,1,102792834,108492330,34291270,3733777,90890976,1,1,2,426622484,15571040,12,359630340,161870048,388816924,4,409178779,17011044,538008479,278675596,168805792,1,183247072,1,1,7653534,322094929,18490610,133225817,37916370,314677684,121950167,63055434,686838359,277802458,12441947,102558212,170032764,189510084,314993666,1,120908226,137600868,183,334554980,102792834,222511637,31349412,126088854,4}

Returns: "Solution exists"
78

"LLLLLLLLLLLGLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLGLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLGLLLLLLLLLLLLLLLLL"

{36,37,30,67,32,19,6,5,45,46,60,3,13,69,56,60,63,33,58,28,75,22,21,4,39,11,14,70,15,70,44,62,75,76,22,46,4,13,14,77,71,25,51,67,23,6,4,42,23,76,42,27,30,44,67,68,0,76,75,42,63,4,34,76,5,52,53,18,37,50,77,41,5,40,43,7,52,69,70,53,15,27,32,22,37,26,25,5,57,55,30,62,0,48,21,68,63,16,67,8,38,45,38,50,43,44,57,65,59,26,23,26,69,61,9,31,16,66,21,18,46,77,26,69,20,40,14,5,29}

{48,47,62,48,34,71,59,40,43,57,54,10,73,54,59,53,65,36,63,21,55,73,77,10,36,51,20,9,68,45,30,4,64,8,60,14,60,27,3,75,18,24,37,14,20,34,20,70,73,38,20,5,60,32,47,40,12,60,71,43,10,51,42,64,20,38,30,19,72,74,1,10,45,44,1,10,50,0,30,72,59,23,54,7,1,63,34,39,38,24,47,3,16,14,16,41,62,64,26,27,33,32,15,32,4,3,74,15,69,43,60,34,62,22,5,4,3,59,48,56,4,9,33,60,33,12,6,51,21}

{352942704,41398660,64098851,268504960,27949600,15847299,9153793,1395180,17642667,162540833,787981101,18,41034248,624387225,35044548,500388175,297196614,15936048,370629810,152173852,639531783,245988120,134351942,1729224,48735216,144961678,320387496,38421040,294694239,386402905,215510965,974769,618519562,117273566,272173755,16110939,5852337,94851772,126489402,223275254,238177719,40760064,59506015,265100160,19971864,6863200,3218424,30187960,32822568,141393786,1690040,94070180,384837923,45463670,48311680,481068,81178776,470485138,188270433,6891720,303893352,5002617,202400,2,24762760,130961517,269658725,752887057,29621455,332445217,212877890,108467352,174613180,12391020,15142035,562092552,255873137,35065800,214790915,212921975,541202673,151740504,447907530,241679865,11584435,610583426,3974400,61650780,135876489,323426862,228860692,77474106,258652296,481387881,313118329,183567531,114203758,94249925,289371520,185935154,16013814,56218190,59035881,238346290,49713,260480790,358462853,170293266,47241425,16205757,290532456,1,591785386,48521340,4340560,951774,388380078,22209605,309862673,42130284,2103933,61656560,142353654,565859525,43955736,5798484,8131773,153961820,98399396}

Returns: "Solution does not exist"
146

"GGGGGGGGGGGGLGGGGGGLLLGGGGGLGGGGGLGGLGGLLLGGLGGGGGGGGGGLGG"

{83,109,133,134,63,83,84,86,55,22,87,34,60,11,31,52,127,110,7,127,58,55,66,90,27,116,6,27,136,123,49,39,132,51,51,116,19,103,49,126,83,8,119,144,23,98,55,3,140,113,122,41,61,120,129,63,97,27}

{127,31,98,41,7,106,40,131,39,109,23,143,18,12,129,44,21,88,14,4,61,49,115,35,18,38,88,111,26,91,62,1,96,57,134,92,85,139,39,77,88,59,123,37,36,117,70,52,125,83,1,64,138,52,44,121,40,88}

{1,6,1,1,2,1,1,1,7,3,10,3,468497970,1,2,1,1,1,1,48111,230698404,404173,1,5,5,1,2,81313375,115,3,1,2,1,355508076,3,1,4761099,1,7,43784515,227321810,2375325,13,1,282446270,5,1,1,3,1,26,1,4,1,2,1726452,1,1}

Returns: "Solution exists"
36

"LLGGGGGGGLLGLLLLLLGLGGGLLGGGLLGLGGGG"

{27,16,29,23,2,19,31,4,1,28,16,29,7,0,0,34,8,4,7,32,7,1,0,25,33,22,21,23,1,17,17,12,14,11,21,11}

{29,6,27,16,16,31,23,14,23,9,26,32,9,8,2,22,9,22,35,12,13,10,15,22,25,12,19,33,31,18,1,16,2,0,18,22}

{71324852,224881221,1,1,1,1,1,1,1,167849724,339006899,4,35509974,4416292,919652,56310426,283335828,40225743,1,140053560,1,2,1,562570911,512348165,1,9,5,139883362,137921476,2,274386353,1,4,11,3}

Returns: "Solution exists"
62

"LGGLLLGLLL"

{2,40,44,20,18,4,8,26,5,0}

{39,30,18,51,3,34,22,27,50,40}

{2712029,1,2,465903123,46463300,44679947,6,49409076,240740220,18879837}

Returns: "Solution exists"
187

"LLLLLGLLLLLLLLLGLGLLLLLLGLLLLGLLGLLLLLGGLL"

{116,31,2,33,91,21,90,94,50,77,74,37,27,130,2,2,91,158,136,31,37,153,134,44,71,166,136,164,106,116,148,89,41,94,118,128,105,170,146,122,53,33}

{37,45,176,126,29,112,44,1,87,170,85,179,14,114,169,7,28,46,4,72,159,70,109,111,94,43,125,111,62,185,105,163,33,67,177,138,6,62,34,185,156,67}

{8752624,170196918,389934940,8393322,428896620,2,854775,32611810,963380,241706070,64296306,53161366,446711755,126379374,208651195,1,88804245,1,33615478,269301394,80764606,19084626,215052397,377580,1,327107801,153121296,2542372,227678416,2,466854651,568209496,2,47781415,64900624,93080423,242099145,252390096,1,2,171274917,2834170}

Returns: "Solution exists"
130

"LLGLGLLLLLLLLLLLLLLLLLGLLLGLLLLLLLLLLLLLLLLLLLGLLLLLLLLLLLGLLLLLLLLLLLLGLGGLLLLLLLLLLLGLLLLGLGLLLGLLLLLLLLLLLLLLLLLGLLLLLLLGLLLGLLLLLLLLL"

{44,18,46,122,93,47,81,54,101,87,106,30,14,54,97,60,112,92,35,123,120,77,74,35,61,36,45,13,1,121,1,12,34,123,91,44,115,123,86,71,16,56,107,5,80,57,128,117,93,82,20,120,86,56,39,28,49,109,3,111,81,14,92,111,77,10,89,40,62,115,65,106,63,10,53,99,7,107,14,35,86,4,14,44,114,42,123,59,16,67,41,79,46,65,12,92,99,128,66,40,108,94,17,86,115,41,46,60,38,114,87,83,128,95,15,108,54,85,3,9,63,129,58,112,90,39,50,13,52,0,64,11,34,17,42,75,30}

{79,14,11,49,107,12,59,37,63,72,50,47,52,97,95,109,90,118,124,99,24,84,102,126,54,55,125,121,112,120,77,42,124,84,24,60,22,73,25,119,105,35,74,37,69,100,31,125,12,36,68,13,1,107,117,126,123,55,50,49,115,73,59,83,33,67,121,21,98,24,14,129,50,0,117,73,39,30,107,119,85,43,86,81,112,53,9,64,105,92,83,83,38,9,6,127,4,102,34,96,10,111,49,17,60,85,82,0,100,65,85,113,2,86,113,16,89,116,32,115,86,127,95,36,20,52,33,121,91,27,41,95,1,29,118,118,105}

{146663874,12094110,3,8468447,1,161795798,607236915,254330736,1985291,7725180,579472627,65813386,168311520,194800144,167121220,7063520,69952965,655578,35303712,7150143,173849364,12103014,1,127088160,302517776,3171561,1,127329058,167916471,141902748,456071546,373332362,2038214,61444086,538396190,10352930,507385725,721588241,632896,72991260,31864308,216999456,51422910,555984462,13378048,444597398,1,352410318,235350773,26334222,68685276,94432572,822793568,49295310,1623622,553460730,61627423,18990624,1,35713834,176138529,602540370,313838910,8818418,137677764,390354,33803136,541247490,181885418,429302958,3127410,1,2584589,1,2,82735653,187726,60453390,4308390,59602656,176088928,484294020,314578080,233130597,81624513,875914,1,496242595,31864308,11144826,17232460,1,347104398,1,331512901,371865186,20840820,1,3628832,346612098,982560,327343926,44977595,549900320,23466030,181548860,85816518,22438990,175908022,161038449,118808610,11703664,40528185,142257760,229742320,12,4980096,65555910,27908672,11804667,3826144,341181308,9435060,1,144183415,1185184,335569044,1,345781280,21651056,715013620,38036940,42958702,185759570,4468646,5483016,282688644}

Returns: "Solution exists"
100

"LGLLGGGGLLLLLGLGLLGLGLGLGGLGGGGLLGLGLGLLLGLLLGGLGLLGLLLGGLLGLLGGLGLLGLLGGLGLLGGLLGLLLLLGLLLLLLGGLLLLGLGLGGLGGLLLGLLLLLLGGGLGLLLLLLGGGLLLGLLGGGGLGGLGLLLGLGLGLLLLGLGLLLLLLLGLLLGGLGGGLLLGLLLLGLLLGGLL"

{83,36,66,81,90,68,50,56,1,3,99,41,27,76,48,27,46,15,22,58,51,97,13,89,44,86,71,14,22,7,9,48,5,43,39,36,43,33,60,60,50,98,42,52,60,84,71,42,33,33,41,54,64,41,70,70,90,31,28,6,42,17,51,11,0,87,42,4,13,32,79,16,92,1,4,72,3,41,20,13,67,28,17,62,76,73,68,93,23,54,63,17,0,92,97,53,13,64,97,99,41,83,61,94,91,99,56,66,2,62,35,15,4,78,15,68,36,66,20,69,71,9,69,11,88,1,68,26,54,2,23,39,11,83,36,28,19,79,33,37,0,12,47,8,59,45,52,28,18,79,27,70,28,54,68,37,36,55,59,94,75,68,1,78,19,94,21,83,77,59,35,12,45,17,16,90,67,18,85,92,87,0,12,17,20,46,64,7,98,84,3,46,75,32,94,0}

{51,1,73,97,37,41,12,11,71,91,23,40,98,24,98,53,11,35,6,95,41,78,24,50,46,1,43,48,44,15,69,93,90,58,91,82,82,14,55,15,56,82,14,58,27,11,35,76,22,35,95,27,26,4,17,18,71,1,91,67,44,85,42,91,3,64,11,14,41,94,27,19,64,14,3,30,37,80,64,34,97,58,31,63,47,97,56,91,16,49,95,24,54,53,28,73,39,24,25,63,15,58,5,3,45,6,10,76,26,46,39,91,74,91,3,40,58,54,4,99,86,70,80,3,61,11,25,74,10,50,95,37,64,6,22,38,63,71,68,20,5,6,72,41,96,53,65,74,30,75,14,50,31,65,6,89,5,86,25,60,69,5,75,36,76,42,29,32,48,87,91,21,76,27,25,37,50,51,97,28,8,67,52,57,78,72,67,20,10,72,16,75,88,61,81,91}

{27662082,1,27124325,265407708,1,2,1,8,1224132,530016114,41336820,343758578,425267600,1,153775632,1,83342600,10949040,1,359713455,2,313184460,1,408898128,2,1,382452,6,1,1,1,191556714,563014114,1,74985590,2,313009644,2,79856112,62373360,428640656,4,74846244,423399240,171014550,10,12,89504583,1,93965940,529693446,1,35465216,312066866,46027410,1,1,6455839,243682754,1,178130154,48382620,1,2,108717759,1,69995400,339028932,1,6940624,45435600,7,1,21159996,1,10468710,89790003,2,8,428828855,21290188,1,950235,19213776,10414159,439729300,58220272,1,11525780,271695304,156067038,3193905,327878424,84579868,2,1,10548895,3049472,145853676,41637330,2,337363935,2,22510788,1,1,172746032,1,1,16590992,11008980,149154640,2,456037590,213424080,174519004,60254030,22571128,247254680,1,3,1,71162520,1,421545042,125327800,100596276,438050832,187205288,509580275,1,29,8,136608429,70631210,387253062,1,3024,60631076,1,1,1,1,354119330,1,1,29290536,2,513590,15552432,414509700,1,103120654,8,90024836,3,46375862,300607536,99987642,6578796,1,171115516,1,58541970,36631007,9408684,209521511,469825008,85917462,17535959,2,249714580,26689719,6445725,2,1,54054662,7,4,1,76334930,38154222,175915080,5,67422120,99952974,2332672,170154840,2,142900470,181293630,299044878,3,2,16414044,455874282}

Returns: "Solution exists"
128

"LLGLGLLLLGLGGGLGGGLLGLLLGLGGGGLLGLLGLGGGGLGGGLLLGGLLLGGLLGGGGLGGLLGGLLGLLGLLLGGGLLLGGLLLGLGGLGLGGGGGGGLLGGGLGLLGGGGGLLGGGLGGGG"

{102,38,100,86,57,70,85,124,64,12,80,6,123,28,115,53,4,55,118,30,93,63,25,74,124,105,75,14,20,67,22,43,37,105,82,40,70,3,9,111,49,2,40,38,15,27,103,80,4,2,122,35,125,107,120,43,57,61,10,31,21,24,88,3,28,10,48,126,78,12,120,124,47,67,85,7,19,116,28,98,40,71,120,103,68,63,92,34,111,121,43,45,51,35,38,78,35,64,21,78,41,26,56,27,20,6,112,33,97,95,41,100,72,60,10,97,9,115,95,38,120,83,69,48,70,28}

{65,118,103,53,69,60,55,36,41,97,98,15,30,108,56,38,5,3,64,23,9,120,111,58,123,20,42,124,109,34,122,12,17,63,13,68,83,96,117,89,52,36,27,70,104,91,4,117,51,85,72,47,0,111,78,69,66,91,76,127,15,47,126,68,122,49,38,11,48,96,67,1,85,69,21,123,32,123,80,29,53,124,30,75,66,46,90,80,92,45,11,76,26,90,30,99,115,35,104,34,84,20,91,52,5,30,6,70,61,38,82,55,3,80,122,4,71,13,75,114,64,98,30,124,8,122}

{5593842,1953079,1,27129849,1,18779150,179398908,137263048,336807045,1,120402525,1,2,1,1091740,1,2,3,220191021,200216,1,3840970,10524501,6219414,1,92117462,1,1,1,2,201333550,100776929,1,3406886,307402618,1,252986550,1,1,3,1,493147112,1,1,1,629007500,5954918,7301225,2,1,92559424,113410332,57828662,1,1,205771335,2462746,2,17,1,1,525276115,2,1,98908482,221777937,1,1,218017194,285703877,2,99116043,576972129,1,721163559,31031434,482772290,1,1,1,102338596,34421634,51193160,1,1,493136,521980634,128389650,1,818333619,1,3,64032,7,15375208,1,4,9,1,1,1,2,6077500,148308532,2,1,1,14981800,2,2280448,336921070,1,1,1,17,2,137920626,267245108,1,1,1,130061409,1,1,10,2}

Returns: "Solution exists"
59

"LL"

{29,9}

{52,34}

{67360986,6749838}

Returns: "Solution exists"
172

"LLGGGLLGGGGGGGLGLGLLLGGLGGGGLGGLGLLGLGLGGLLGLGLLLLGGGLLGLGGLGLLGGLGGGGLLLGGLLLLLGLLGLLLLGLLLGGGGLLGGLLGLGGGGGGLLLLGGGGGLLG"

{12,78,128,79,81,25,115,62,102,90,5,51,12,72,164,45,37,152,53,163,166,111,137,148,137,98,118,166,9,50,148,1,12,164,24,53,105,61,86,114,154,93,31,117,132,158,139,126,148,164,151,141,40,59,94,161,47,51,32,72,166,90,155,127,60,119,90,25,88,111,167,150,132,65,48,100,32,10,20,62,96,145,91,152,30,32,120,27,135,88,21,69,52,93,77,148,85,81,13,70,121,125,140,155,8,70,36,151,53,98,96,70,131,66,124,141,94,50,114,94,46,57}

{150,10,59,139,10,124,109,97,156,72,88,47,67,32,92,14,24,25,38,95,73,39,162,118,76,80,87,136,114,163,16,19,81,19,106,56,127,1,9,136,43,146,4,160,93,137,163,151,70,60,56,136,166,161,118,24,137,139,148,124,16,13,50,27,143,66,128,143,2,2,140,145,53,88,101,162,124,105,47,123,52,168,125,128,98,10,113,100,29,133,167,157,30,72,85,166,90,149,6,65,16,162,8,142,68,120,71,16,152,58,163,31,141,169,57,65,132,120,82,162,14,154}

{327590106,56802801,1,1,3,871396974,313360608,1,1,7,1,33,2,6,210452418,1,595191956,1,153803250,71564776,42543725,1,33,26103,96,8,1,7,52937031,2,1,26776785,6,173605530,122876819,1,1522503,1,37136445,21,1,64473213,33739896,3,204662205,1,516042536,31009566,85611,203283114,2,7,1,92417083,85844066,1,6841824,1,1,49046956,1,160511981,17478840,1,1,559748679,7,1,1,2,26102885,449520445,9887625,1,1,1948716,13282318,616869,514380768,3231675,2,41160570,21546,14,82769760,992739,67722654,11005280,10,559526516,175651660,6927444,1,1,1,1,99778630,19977990,1,1,160470270,118503,1,23915320,1,1,5,1,17,4,65273632,299296056,123625362,258035649,2,1,1,1,1,129905622,212380504,1}

Returns: "Solution does not exist"
187

"LGGGGGGGGGLGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGLGGGGGGGGLGGGGGGGGGLGGGGGGGGGLGGGGGLGGGGLGGGGGGGGGGGGGGGGGGGLGLGGGGGGG"

{172,128,91,43,74,22,54,4,42,117,140,11,35,54,163,33,154,112,39,154,59,147,64,146,115,12,44,114,16,70,158,38,144,165,157,127,42,61,148,49,4,36,48,115,143,169,74,1,144,79,186,56,69,181,85,44,135,172,25,179,55,59,95,109,72,113,138,20,89,29,27,21,159,157,161,163,36,56,178,119,129,2,177,141,124,184,41,159,109,142,26,3,10,135,165,96,43,75,140,144,86,142,107,1,96,168,30,7,171,156,186,147}

{153,124,185,150,6,110,158,127,88,69,21,81,70,160,110,103,62,72,63,29,186,109,124,18,21,13,135,135,183,27,151,75,158,159,16,139,44,107,110,157,181,95,52,40,81,88,52,148,101,119,28,52,121,172,138,162,142,52,99,160,115,135,173,47,7,80,150,12,111,70,48,117,70,89,4,116,49,40,108,184,146,163,22,49,178,50,116,139,41,67,117,101,90,85,62,105,72,85,181,159,77,48,11,69,186,100,109,27,67,89,127,11}

{66723345,223,1,1,1,6,1,2,1,1,13019702,2,1,1,4,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,3,1,72,30,1,2,3,1,4,1,1,1,62127492,1,2,7,1,2,1,6,1,27107262,1,145,1,1,2,3,1,1,16,73610864,1,1,1,3,1,2,1,3,1,125563486,3,13,1,1,1,8325954,3,6,1,1,7314294,1,1,2,1,2,1,2,1,1,2,2,1,1,1,1,1,6,1,2,141057350,1,249007731,5,1,1,1,1,1,1}

Returns: "Solution exists"
51

"GGGLLGGLGGLGLLLGGGGLGLGGLGGGGLGLLGGGGGGLGLGGGGGGGGGGGGLGLGGGGGGGLLLLGGGGLLGGLLGGLGLGLGGGGLGLLGGGLLGGGGLGLGGGLGGGLGLGLLLG"

{26,48,1,37,19,42,24,10,32,15,17,6,45,39,31,13,39,40,48,33,2,49,45,49,0,43,32,24,8,8,12,1,18,50,40,40,50,22,42,19,6,45,21,44,34,40,30,33,3,41,6,15,15,37,35,22,13,7,7,28,23,18,50,13,30,35,27,42,39,3,19,31,19,36,5,27,35,7,0,16,37,0,24,32,26,26,37,45,38,11,13,27,20,9,43,11,1,7,13,2,29,32,32,47,20,36,46,43,10,27,28,35,19,4,13,13,35,15,36,35}

{24,17,39,11,39,41,8,33,11,25,13,43,24,17,49,32,23,12,31,5,17,35,19,0,43,26,50,2,5,32,2,37,5,30,34,37,19,39,4,41,43,0,31,3,3,5,28,49,44,29,44,23,6,42,46,46,48,39,30,26,26,20,3,16,12,21,9,35,37,25,34,14,45,41,40,40,25,22,6,34,0,22,33,25,6,29,21,29,29,48,7,40,35,7,20,39,47,6,32,3,14,43,29,18,0,10,15,2,49,37,41,4,0,29,23,46,42,36,3,39}

{1,10,2,9215388,1545154,2,1,5271240,1,1,24426060,1,149865056,108622020,159499730,1,1,1,2,139505394,1,336427570,1,10,11196640,1,1,1,1,29780651,1,116480,33455422,1,1,4,1,26,3,1250086,1,269520160,2,1,1,2,4,2,1,2,3,1,1,2,250333310,2,147567630,2,2,1,1,1,1,2,179707204,114112392,532910907,196996866,26,1,1,2,1240237,265764552,2,1,12404173,196504958,1,1,14560,26,82069152,1,376536261,1,4,1,6,480263490,2,561420544,245308645,1,1,1,21989120,8,1,1,228641394,1,52491600,1,47625760,24,5,1,3499080,1,38,1,975520,3,10532766,2,196996866,754789560,648700248,1}

Returns: "Solution does not exist"
110

"LLGGGGGLGGLGGGGGGLLLLGGLGLGGGLLLLLGGGGGGLGGGGGGLGLLGGGGGLLLGLLGLGGLLGLLGGGGLLLLLGGGLLLGLGLGLGLGGGGGGGLGLLLGLLGGLLLGGGGLLLGGLGGGGGGGGLLGGLLGLGGGLGLLGGGLGLGLLLLGGGLG"

{90,105,8,48,40,78,55,58,30,9,31,67,62,85,45,76,33,78,70,56,86,65,86,87,16,22,62,8,40,44,28,30,56,88,27,54,61,73,62,41,77,4,64,2,101,100,56,49,52,100,21,67,36,55,94,77,70,94,13,108,82,9,52,44,46,44,87,2,15,107,74,29,105,16,51,15,99,35,69,102,60,0,102,10,41,74,6,84,76,10,93,68,15,97,66,99,108,62,97,85,59,83,22,82,76,32,53,3,32,58,9,83,43,46,77,72,40,59,55,82,29,49,20,94,5,59,5,29,109,103,47,37,57,102,89,18,45,81,57,108,33,21,75,20,38,95,65,83,101,71,56,74,63,109,47,104,83,85,79,13,91,31,49}

{104,55,13,71,51,93,3,63,53,84,96,95,6,45,27,84,81,86,17,79,31,2,68,12,68,28,57,25,47,45,5,24,25,15,103,68,89,45,107,103,57,23,50,86,102,68,32,103,106,42,66,74,80,104,72,30,101,63,70,87,83,8,15,42,40,71,16,21,2,57,44,96,16,13,85,85,98,42,106,108,102,108,4,51,51,82,99,104,56,33,26,108,101,18,50,21,11,83,27,51,81,109,101,45,69,44,27,7,4,36,50,10,53,3,87,35,4,101,103,27,68,41,22,93,44,90,6,87,100,76,101,66,30,69,15,54,28,68,71,109,79,69,18,62,81,83,100,27,38,94,88,19,38,54,93,84,82,109,64,50,24,55,51}

{335600235,1800198,1,55,1,1,2,25021102,1,4,51945152,7,1,3,1,1,1,515332209,15255762,59017072,86729664,2,21,61685,42,108165849,1,1,1,8778495,18544773,78388557,10033290,313921971,1,3,1,1,1,1,50687331,1,1,1,7,1,1,24922645,1,7401238,3052560,1,2,9,1,3,96995738,13843217,143869876,1,3872736,95683868,1,13928930,1,5,119693574,2999108,1,295842137,16483315,1,1,2,1,859104,53461740,795318,345429245,714689675,1,1,7,15308770,216968631,183065085,1,416975940,1,3908070,1,123176046,1,370378580,2,1,1,1,1,1,1,1,1,6499647,365188635,34892835,1,208769644,9678543,2,2,470560,13807808,313469828,73,1,1,1,369630,82388187,3743502,11,1,106223510,1,1,3,1,1,895968,2,24,155986563,16766225,1,1,46563,47272386,1,361140984,2,7,1,4211445,1,1511776,39523224,1,2,1,56675971,1,1421170,3,3637210,416975940,3872736,52704,1,2,3,21034944,1}

Returns: "Solution does not exist"
115

"GGGGGGGGGGGGGGGGLGLGGGGGLLGGG"

{94,12,27,3,85,33,79,108,52,113,39,72,113,81,78,62,53,66,105,20,64,8,14,111,91,13,80,86,80}

{6,20,101,40,62,59,11,94,84,72,94,99,90,32,38,43,8,111,28,112,31,100,103,37,113,74,48,88,31}

{1,1,1,1,1,2,1,1,1,1,1,1,2,1,1,1,373697255,2,2149509,1,1,1,1,1,22197654,9386401,5,1,1}

Returns: "Solution exists"
140

"LLLLLLLLL"

{124,84,109,7,136,93,13,12,66}

{128,91,35,54,9,76,9,126,139}

{95308872,178668512,30328152,263055748,169866876,228519806,146665284,484353825,264514806}

Returns: "Solution exists"
157

"LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLGLLLLLLLLLLLLGLLLLLLLLLLLLLLLLLLLLLLGLLLLLLLLLLLLLLLLLLLLLLLLLLLLGLLLLLLLLLLLLLLLLLLLLLLLGLLLLLLLLLLG"

{15,75,92,110,88,41,87,140,127,140,11,44,54,116,69,23,113,150,111,44,11,133,2,49,151,46,53,96,1,114,17,7,156,145,0,145,32,12,65,129,130,68,115,115,141,143,140,153,73,151,19,108,22,66,117,76,85,60,91,131,133,34,52,78,96,40,48,77,44,87,84,19,25,34,7,68,68,132,31,123,137,124,61,48,43,9,131,144,126,40,24,49,8,2,16,104,128,7,128,117,150,21,40,22,56,81,86,117,79,61,104,120,42,17,128,93,14,50,71,132,82,110,132,72,81,111,27,99,87,84,137,55,94,126,114,107,148,130,94,52,59,60,98,54,66,27,20,24,97,148,156,68,33,155,126,154,95}

{102,40,116,26,139,138,140,34,70,129,112,5,19,71,126,111,0,149,27,136,19,22,62,120,64,155,46,23,58,29,3,10,150,72,139,83,57,89,87,40,128,140,56,61,69,31,25,151,106,35,86,96,89,91,0,23,150,123,73,16,69,121,12,135,6,152,111,23,22,67,11,4,127,44,28,100,119,134,88,117,26,62,120,72,42,20,13,86,76,148,102,27,98,98,60,72,137,118,32,71,68,55,101,109,15,60,3,54,48,119,103,31,155,0,1,54,115,62,10,129,48,52,134,153,10,31,155,67,46,93,98,26,39,9,18,70,49,34,4,139,148,95,107,154,26,127,62,92,109,44,56,119,34,143,117,2,110}

{2620440,108871458,40739224,59458938,27650025,256010520,50680408,49447608,347802121,27454456,423928252,257394348,141541908,113478264,204645560,140056875,13475016,95995498,339771754,256631075,121503756,36112998,1858917,159559208,9863460,9203840,5924480,104276250,13212258,32643670,28884105,24246838,467864678,277769828,213251400,144285870,416383499,70555016,94076124,76617708,45320548,30265240,63212313,45947454,110067867,55202874,166834824,4413380,52967961,38760732,11388036,250503994,596857947,39267574,406736696,11463750,1,100141109,12612263,181725705,18737698,1584345,25152712,396696198,168769952,102300294,727025901,29064375,386885949,4,115084904,19156884,536908242,62479347,49908706,46919960,14052420,193028518,16146546,774831037,41380878,2083470,185172344,726821508,849661285,9212742,220979493,4484139,16181720,70915245,40440618,127003322,2,464360816,80577485,1891792,81899394,54388970,276969098,752060178,143656780,4357692,130726599,25979502,34474040,102150284,3461931,489854773,635224245,30912462,96272848,77713752,836830390,152538280,66041134,394848324,15061287,1612608,154496034,57251716,665678802,1,193028518,18544540,162367436,225734334,196243126,229755944,2631040,48356568,173272272,15316686,136241615,55881720,238020930,36468640,460417290,3962868,15661805,133002675,29508855,25158698,3604640,385187212,91324002,1,2470083,244845654,3009342,385297095,475236529,14052420,11619867,525395454,470222680,389937148,1}

Returns: "Solution exists"
160

"GGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGLGGGGGGGLGGGGLGGGGGGGGGGGGGGLGGGGGGGGGGGGGGGGLGGGGLGG"

{134,100,111,39,79,148,98,105,107,131,148,148,60,154,18,23,11,26,119,88,35,7,6,156,141,117,70,120,46,82,93,55,30,148,48,13,11,36,59,27,14,74,140,34,12,25,133,77,112,94,82,25,7,101,103,72,124,140,126,38,21,43,80,154,142,66,18,80,149,133,50,70,102,70,146,117,40,1,5,130,39,77,136,69,20,32,35}

{64,34,90,88,17,136,100,72,148,94,20,99,17,121,16,105,156,36,23,59,37,69,114,23,128,114,93,19,146,46,144,24,125,9,18,1,13,87,127,148,66,111,56,96,32,135,139,120,85,110,68,16,106,139,84,150,77,116,64,82,125,82,109,1,55,147,105,79,96,16,125,20,115,1,49,48,76,126,31,42,54,55,92,37,49,54,68}

{1,1,1,1,1,17,1,1,1,1,1,1,1,1,5,4,1,1,2,1,3,1,1,1,1,1,1,1,9,1,12,1,2,1,42838300,1,1,1,1,1,7,1,28118997,1,1,7,1,343206966,2,1,1,7,1,1,1,1,6,1,1,2,1,1,13151781,1,1,1,1,1,1,12,14,1,2,1,1,1,2,1,5,273060,1,1,6,2,213603878,5,1}

Returns: "Solution exists"
104

"GGLLLLLGGLGGLLLGLLLGLLLLGLGLLGLGGGGLGLGGGLGLLGLGLGGGLGGGLLLGGGLLGLLLLGLGGGLGGGLGGGGGLGLGLGGGGGGGGLGGLGGGGGLLLGGGLLLGLGGGLLGG"

{49,24,71,41,8,35,44,51,96,61,6,9,11,100,96,80,81,5,20,94,47,54,51,29,76,40,27,77,101,27,12,13,50,89,69,102,60,47,80,3,71,77,60,32,74,79,3,56,78,36,77,10,59,101,45,62,57,50,51,4,78,81,1,13,3,32,35,29,92,20,64,40,64,66,94,28,54,21,62,38,90,56,100,65,6,62,43,4,60,32,46,18,19,94,41,88,72,8,9,49,32,87,18,53,75,103,16,83,28,55,1,92,70,3,97,73,1,17,77,31,101,10,21,9}

{87,102,45,94,55,75,96,90,83,2,57,31,19,82,45,50,88,51,99,6,42,73,28,35,72,75,51,58,44,10,18,15,28,77,62,99,6,78,74,66,20,2,32,72,22,57,25,88,79,90,62,37,18,59,31,61,5,0,3,51,13,75,89,36,60,83,86,68,48,7,87,66,101,93,80,10,69,55,53,58,86,62,73,103,76,10,44,73,95,88,18,44,80,85,40,97,79,99,17,28,0,33,58,64,71,40,82,72,9,27,102,23,4,71,19,19,32,20,44,70,96,35,93,30}

{2,12,5552281,41902527,51704180,110755255,39340708,1,2,14662638,1,3,153670,583721,113854268,1,1337436,1087170,351730295,3,1243668,25060278,1437870,276526029,1,112640130,1,33598833,181966500,2,182850072,1,7,1,1,25562460,1,3375618,1,1,1,377825577,1,117192753,185607640,1,118337598,4,283026201,1,1,1,277799798,2,1,107,1688136,95928364,83799765,3,1,1,112176696,372064075,1,51017454,391876316,182527332,24579465,1,20599722,2,9,1,1022451,2,2,1,34218600,1,4,1,1,3,308034,1,30911840,3,325702946,9,1,1,1,1,1,1,1,457413110,3,6,483510132,1,1,3,1,6,8113467,63938586,6154428,4,1,3,31512,6121899,35016190,1,250112817,1,1,3,88654500,425589866,1,4}

Returns: "Solution exists"
132

"LLLLGLLLLLLLLLLLLLLLGLLLLLLGGLLGGGLLGLLLGLLLLGLLLLGGLLLL"

{82,6,31,119,50,24,77,81,57,81,24,71,130,34,113,102,75,40,119,0,112,37,88,9,36,19,84,98,98,22,85,53,98,20,47,121,77,58,109,87,29,80,44,100,113,128,3,68,115,104,34,90,127,50,87,40}

{116,39,115,104,57,46,81,105,80,17,36,24,47,122,39,87,44,29,11,63,53,41,83,14,21,46,48,39,24,45,106,107,44,103,70,50,65,27,104,44,71,7,16,10,46,120,5,40,19,100,60,84,81,88,22,30}

{642342684,7100730,73632187,123421967,1,958848,33103350,590649192,73053575,4655826,37448576,15419008,211765840,354171700,54469275,89244000,877952488,2209830,90028783,2857980,5,216379752,27723501,25325496,244479624,10964100,60210117,1,4,14480480,13590537,5,4,2,71570160,3774100,10,89989380,33568402,39309984,1,65765950,66136392,51895848,12223950,1,16931865,1373430,161531300,248030446,5,1,7090524,36043020,2610720,1949220}

Returns: "Solution exists"
183

"LLLLLLLGLLLLLLLLLLLLLGLGLLLGLLGLGLGLLLGLLLLLGLLLLLLLLLLGGGLLLLGLLGLLLGGLLLLLLLLGLLLLLGGLGLLLGGLLGLLGGLLLLLLLLLLLLLLLLGLLLGLGGLLLLLLLLGLGLLLGLLLLGLLLLLLLLLLLLLGLGGLLLLLLLLLLLGLLGLLLGL"

{181,150,11,49,141,72,166,151,57,40,79,160,169,152,127,105,98,112,12,126,86,176,37,172,140,148,158,166,31,69,155,122,66,131,129,130,84,143,61,140,106,88,105,68,34,162,86,150,30,24,23,158,154,6,104,40,177,166,30,123,38,14,168,138,146,4,0,65,139,26,41,37,80,27,42,37,135,10,28,96,52,28,173,29,55,114,122,54,102,147,97,67,137,135,150,63,140,119,73,133,59,125,23,4,10,42,141,30,29,162,177,150,131,96,2,139,34,163,103,177,133,81,23,173,68,111,94,16,16,99,35,123,138,110,29,122,135,82,7,150,14,149,1,4,32,68,173,56,153,114,170,163,105,49,137,88,117,24,42,29,65,182,56,137,157,19,88,153,56,26,138,116,1,64,119,173,104,66,24,84,106,139}

{36,17,92,8,153,163,0,173,100,138,42,104,179,2,5,129,32,143,35,0,74,170,79,74,60,129,98,115,45,39,88,41,71,114,157,14,178,167,70,53,152,111,116,101,9,138,128,118,80,123,112,90,88,38,174,64,76,24,37,171,65,82,23,143,176,46,78,86,4,125,182,163,151,160,132,123,111,116,8,138,147,42,72,69,14,67,31,1,177,87,96,87,59,144,80,130,50,120,2,146,161,53,163,152,58,109,43,159,55,64,88,106,31,51,169,73,57,67,95,120,116,91,132,159,111,97,60,111,92,52,69,125,76,28,115,106,2,153,81,109,125,17,117,57,176,3,33,119,12,49,48,158,63,179,108,25,134,116,51,97,100,60,126,58,74,59,176,178,172,136,0,113,114,100,165,138,76,96,65,86,137,66}

{110146620,82139353,50775228,44006452,5071077,544117154,20344877,15,74072218,343574805,105736889,2933450,476175070,70284864,4565625,33139185,44119380,151233644,3526410,13485619,134973069,1,466768643,3,168353828,54189527,221900790,19,52275556,888090,2,13195650,3,329544,1,213586562,97383888,303917584,4,70272640,7790016,7131432,7094460,49847980,4,79940042,1156287,110915520,261496746,515819525,19107860,123033606,171813576,279056449,13710494,3,1,1,519218194,133906552,40267934,191302279,1,366461599,10043880,1,18675216,25146638,204630816,2,2,478493246,2444715,3078725,51388207,489620417,20697432,9034500,13649258,7,515424,10392677,832650405,9240,34510574,6,1,5635625,3,3130540,5866560,76929420,1,1,46725399,3821372,1,15595604,736780235,1,13,28466560,48919990,17793984,4674000,26164960,6568713,305966002,416680,5971446,51118584,34895901,3302604,377737920,520096730,250346720,699556,2,3176520,40928646,7819756,1,23192585,1,28,12466440,148318295,22856568,71090649,32768736,12810,92090258,71189209,1,3837240,1,816273092,62710527,38228532,1,85310722,384205887,10185000,575438622,20,51180220,103511385,585017492,115099710,4919976,165448216,160292258,3647940,306381404,51105501,133140040,115229016,33253300,1,1152360,1,1,541629331,173611056,16118508,218285184,2097480,34117776,567618594,163549180,1764721,259940,1035000,1,295329684,535147095,1,167670720,63307150,59199811,3,238731168}

Returns: "Solution exists"
128

"LLLGLLGLLLLLLLGGLGLLGLLGLLLGGGLGLLLLGGLGLLLGLGL"

{92,119,125,102,60,65,42,64,50,19,109,35,30,22,91,104,14,63,73,59,46,111,86,86,117,78,56,5,12,100,74,85,1,120,86,30,45,45,31,52,99,89,50,105,89,40,109}

{20,117,47,4,52,58,44,97,100,111,115,66,58,13,117,15,56,32,103,53,10,118,24,111,126,11,20,84,68,51,127,33,102,8,42,72,9,22,122,56,101,69,122,110,2,6,62}

{527992,25157660,171390416,1,22391511,4568550,2,46382400,17293800,289691985,27500288,4058920,63228732,809354580,22,1,17261020,1,40507994,13425214,1,52421622,56984048,1,45595880,69371755,241304,2,1,2,199842894,2,53139945,22080128,184332592,5459188,2,1,13668543,1,11152516,1044758,3729852,1,65652840,1,19631872}

Returns: "Solution exists"
189

"LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLGLLLLLLLLLLLLLLLLLLLLLLLLLLGGLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLG"

{88,162,115,89,87,31,81,41,125,72,80,97,99,160,114,185,174,99,26,100,2,102,106,100,96,128,94,54,20,144,168,142,95,73,90,130,86,154,140,154,152,64,68,91,162,25,20,170,152,121,55,74,88,65,163,2,129,93,79,103,59,138,184,164,131,7,106,170,75,60,58,135,25,109,103,186,102,23,99,142,3,54,127,179,101,96,131,185,150,120,106,68,53,166,137,70,160,97,146,99,170,56,22,176,125,177,21,78,40,17,30,83,29,99,85,51,12,13,162,91,31,113,138,29}

{61,150,108,49,0,104,172,182,110,93,78,108,142,139,69,60,138,98,142,44,188,70,120,117,82,132,129,8,150,158,45,45,48,33,93,153,73,133,21,113,126,134,130,159,175,8,109,140,169,79,166,144,182,134,47,54,4,55,26,140,61,32,17,16,181,186,163,113,70,146,134,94,150,133,169,34,121,43,56,147,104,141,55,154,106,137,59,187,22,79,39,2,23,102,174,66,120,132,44,160,42,181,151,73,21,165,149,135,103,156,138,165,82,3,2,109,56,32,76,61,186,50,68,126}

{38751685,303060160,395695734,280034115,19890,60765738,138152508,55626108,166154296,208696279,95680260,384120807,9233420,90810926,83191680,260898529,224633684,116655,380581460,76321182,38483970,200016561,31190950,9692430,1908856,963035,32353244,141015,222757860,422941083,49150002,45096180,224960835,175828103,76540048,1595286,208977032,234354810,63372912,80329580,13183590,408294098,10676676,55846282,67782464,276080,7843848,781695618,274041390,96673962,1,223616238,134768220,223222524,44038188,128887710,431110834,99809326,114757258,6389331,97353312,58420494,13606791,111226410,50327559,875944,17323950,246532484,29122998,405224675,504302937,84361480,142023440,67460136,12913251,6150340,415099041,1,1,243059660,71592400,378484260,66985178,103984430,105350,94149704,649350048,12439405,103996880,50134678,884450,29673924,127835937,3703071,6984472,186637962,182842622,51830353,60084752,5076967,364688544,27283518,61543280,426632162,12996368,49505764,5223536,69493320,1847118,54101740,145130312,10152912,6105512,14988400,282516486,740512,146902086,58538106,32973888,15416471,4012662,31292976,27645572,1}

Returns: "Solution does not exist"
177

"GLLLGGGGLLLLGLLGGLLLLGLLGGGLLLLGGGLLGGGGLGLGLGLLGLGGLGLGGGGGLGGGGGGGLLLGGLGGGLLG"

{95,27,61,133,40,164,88,89,165,20,174,58,12,125,111,48,88,51,4,99,165,58,28,129,10,98,68,138,3,47,52,95,173,153,148,29,152,38,152,136,32,87,104,104,33,58,124,165,54,84,73,114,139,2,71,29,162,160,138,124,79,83,104,80,2,13,157,60,125,113,30,166,163,132,102,139,154,5,12,147}

{27,167,85,127,27,127,71,66,159,118,0,12,99,65,83,133,100,154,167,24,146,110,152,10,74,11,107,79,139,46,147,127,158,5,164,124,118,30,86,94,4,98,27,176,48,152,78,148,141,55,63,0,119,165,55,86,157,62,91,62,160,52,119,125,167,27,171,146,4,134,138,34,62,77,42,142,115,87,3,53}

{1,211465920,196788345,576745,1,1,2,1,11456148,127429728,613850,615494208,1,44055,118359890,1,2,406967911,11502912,55599134,68028180,48,154435770,72854236,4,1,1,249108470,39735306,123651374,391646850,1,1,1,317203646,88617576,1,1,1,2,38701182,1,3304155,5,376385811,3,46614030,136500276,174,205544644,1,2,286974036,1,538228502,8,6,2,1,2,119077660,1,1,1,1,1,1,3,109230,498576330,211791154,2,2,223673706,6,1,1,5451012,201163638,2}

Returns: "Solution exists"
125

"GGGGLGGLGGGGLGGGLLGG"

{26,97,72,122,117,3,108,123,49,105,8,60,85,34,49,9,3,80,33,5}

{104,60,53,97,14,101,56,42,10,100,11,39,32,87,3,59,86,41,28,80}

{1,1,2,1,23524600,13,1,49534600,1,2,5,11,306020810,1,1,1,9118785,429347672,4,2}

Returns: "Solution exists"
195

"GGGGGGGGGGGGGLLGGLLGGGGGGLLGGGGGGLGGGGGGGGLGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGLGGGGGGLGGGGLGGGGGLGGGGGGGGGL"

{153,23,159,154,50,91,30,94,5,108,42,6,66,192,128,54,4,192,126,93,27,117,74,166,3,48,52,29,92,2,162,59,128,111,49,32,136,131,160,170,118,116,158,191,191,107,7,113,25,109,159,129,37,37,41,193,162,169,174,191,12,92,105,3,178,79,26,164,68,4,170,98,14,68,184,36,176,116,73,185,17,35,166,114,118,107,102,59,32,122,86,19,137,91,123,147,142,114,29,152,161,91}

{120,66,162,26,83,126,140,24,150,63,159,113,31,187,16,40,156,1,36,101,102,148,30,110,110,7,79,44,28,64,154,125,131,123,131,99,183,102,123,90,133,115,77,39,124,45,32,121,62,112,113,67,145,13,103,27,129,3,51,142,10,174,107,11,86,65,13,25,76,78,154,136,21,188,122,120,93,156,69,13,33,91,18,183,92,67,8,190,93,129,124,1,170,161,25,164,52,124,140,172,181,93}

{1,1,1,1,5,4,1,1,1,1,1,3,1,17774980,460251099,1,1,27221230,407248044,1,1,1,1,1,1,574460934,338986934,1,1,105,7,1,1,8039046,1,1,1,1,6,7,16,5,198809676,6,12,1,57,3,1,10,3,1,1,15,3,1,1,1,1,12,1,1,1,1,3,1,1,7,1,28,49,73,7,52489494,1,1,1,1,3,1,3501828,2,1,1,2,87047182,1,1,1,1,3,596846270,5,1,1,7,22,6,1,2,1,157828}

Returns: "Solution exists"
197

"GGLLGLGLGGLGLLLLLLLGGLLLLGGLLLLLGLLLGLLGLGLG"

{46,35,131,170,115,8,70,38,18,122,3,81,28,28,31,128,34,59,189,88,86,100,116,144,141,178,168,171,131,186,110,164,79,82,140,191,18,20,76,113,110,150,77,133}

{80,59,67,46,133,149,133,161,145,109,39,190,172,70,136,18,104,165,77,170,104,58,172,157,61,163,193,160,145,104,66,20,174,50,167,112,25,176,149,162,111,54,157,12}

{1,4,23336211,47651195,1,363193332,1,2430212,37,8,19893020,1,6563040,62645088,67149054,410951933,277208103,47118580,70378290,1,1,413689928,1306280,55058360,491195475,1,2,61129722,24429953,187981036,12314770,516657557,1,303806076,107312424,13783099,1,10960625,8131194,3,4052750,4,45567615,1}

Returns: "Solution exists"
131

"GGGGGGGGGGLGGGLLGLGGGGGGLGGGGGLGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGLLGGGGGGGGGGGGGGLGGGGGGLGLGGGGGLGGGGGGGGGGGGGGGGLGGGLGGGGGLGGGGGGGGGGGLGGGGGGGGGLGGGGGGLGGGGGGGLGGG"

{22,39,75,112,15,34,15,25,88,26,97,63,50,7,41,50,2,1,92,27,110,3,27,99,73,74,59,83,41,101,119,109,96,97,46,117,24,130,95,81,25,52,68,71,19,5,33,61,50,47,101,40,92,113,105,14,46,52,92,123,55,92,52,39,37,33,112,20,37,42,94,124,72,48,126,91,117,64,44,125,84,85,45,97,74,61,43,120,68,60,22,30,19,3,14,25,61,26,54,129,32,118,27,117,12,12,111,104,43,51,106,45,64,100,121,18,112,130,86,76,40,130,92,40,103,90,90,64,119,12,116,53,113,43,62,92,63,99,75,66,117,124,85,21,32,115,27,122,2,39,66,105,119,8,64,93,31,51,47,122,14,8,89,35,45}

{97,37,9,123,96,38,107,70,49,108,26,33,107,85,43,96,33,108,114,48,17,99,119,115,129,80,76,82,1,44,7,58,3,115,88,93,87,106,66,114,20,31,38,9,60,52,30,70,11,63,112,120,77,83,88,123,75,72,91,72,60,65,8,61,63,10,108,29,102,129,20,99,78,103,67,126,116,44,2,114,100,28,48,56,27,5,72,10,17,22,130,37,96,54,26,14,58,125,65,109,86,21,60,29,108,23,72,34,92,67,105,72,74,53,72,104,99,33,103,112,45,93,64,2,109,18,118,29,87,42,16,62,34,124,99,16,99,57,65,119,98,87,52,7,34,91,99,75,33,44,33,107,35,115,18,37,2,68,130,7,32,84,17,11,89}

{2,1,1,1,1,1,17,1,2,1,161103878,2,1,1,131321821,21974572,2,605387762,1,7,2,2,1,1,54121438,18,2,1,1,1,414527940,2,4,1,2,3,1,1,3,7,1,1,1,1,1,2,1,1,1,4,1,1,1,1,2,1,1,4,3,1,1,23,1,1,1,2,168751908,127953670,1,7,2,1,1,1,1,1,1,1,2,1,2,1,413750631,1,1,2,1,2,2,62527558,1,222836001,1,2,1,61,2,57219279,2,2,1,2,1,1,1,1,1,1,1,1,1,1,1,2,265823348,1,2,1,211135080,6,1,1,1,1,71074302,1,1,1,1,7,1,2,1,1,2,23,790876,2,1,4,3,1,1,3,1,3,67944982,1,2,1,6,2,1,240706941,1,3,1,1,1,3,1,237103770,2,1,1}

Returns: "Solution exists"
160

"GGGLGGLGGGGGGGGLGGGLLLGGGGGLGLGLGGGGGGGGLGLGGLGGGGGLGLGGGGGGGGG"

{25,107,22,107,111,138,79,2,11,157,105,157,135,16,40,131,140,139,97,103,102,37,101,137,137,43,18,45,131,113,151,26,67,88,136,86,137,34,66,96,143,18,96,111,87,40,95,10,86,27,78,39,129,23,26,40,151,25,23,50,111,138,50}

{105,106,117,144,101,61,32,103,74,135,61,154,159,143,146,39,20,116,46,1,26,153,106,91,96,143,68,120,15,66,121,113,136,5,98,136,157,65,112,108,78,123,74,45,37,69,39,66,52,40,103,56,45,15,23,94,67,55,38,46,128,149,1}

{2,1,1,600494926,1,2,33640497,1,3,1,2,1,1,1,1,37684530,1,1,1,235373918,178543090,475790060,3,1,1,1,5,10936818,2,82960507,1,307099870,1,5,1,3,1,13,1,1,103263004,5,209176506,1,1,4567329,1,1,6,3,1,3977610,1,121775000,5,1,1,2,1,1,2,2,2}

Returns: "Solution exists"
167

"LLGLGGGGGLLLGLGLGLLGGGLGGGGLGGGLGGLLLGLGGLGGGGGLGLGLG"

{2,158,76,69,96,75,6,159,131,56,58,98,98,149,13,99,88,103,61,105,94,114,102,97,136,92,11,147,129,63,115,39,27,78,113,36,102,143,10,108,123,115,14,5,2,142,47,57,18,27,81,160,137}

{133,112,159,122,159,133,57,163,149,133,2,145,25,110,0,15,152,56,70,77,75,84,55,40,31,138,100,126,2,29,165,116,101,22,77,109,66,130,72,18,43,107,130,98,152,75,91,80,30,138,15,22,123}

{108601270,17082296,2,226072494,1,1,2,4,16,297785940,121937450,279235744,1,4992816,2,177823812,3,30967692,28397172,2,3,1,37970010,1,1,9,2,2343954,2,1,1,14104779,1,1,81879898,95632,217674970,2,479753538,5,1,306437570,12,2,1,3,7,172546560,1,537795,3,5198391,11}

Returns: "Solution exists"
189

"LLLGGLGGLGGGLLGLGGLLLGGLGGGGGGGLGGGGLGGGLGGGGGLLGGLGGGGLGGGLGLLGGGLGGGGGGGGGLLGGGGGGGLGGGGGGLLLGGGGLGLLGGGGGGGGGGGGGGLLGGGLLGLGGLGGGGLGLGGLGLLLGLGGGGLGGGLGGGGGG"

{28,3,48,161,76,119,124,105,186,118,79,95,140,105,186,140,100,91,21,97,107,149,31,81,147,10,6,28,133,115,6,129,61,113,56,17,8,105,92,62,15,78,71,9,54,188,156,72,89,67,94,64,29,155,174,170,164,38,151,106,180,116,52,49,24,115,64,7,57,126,6,136,144,113,39,16,52,119,148,153,5,17,45,76,61,69,119,62,18,161,70,109,126,109,161,138,72,31,155,37,104,49,15,41,121,131,146,153,182,53,122,63,121,143,30,145,96,36,1,73,28,83,177,50,40,118,34,102,101,59,180,103,142,114,72,61,88,171,67,4,82,124,34,173,171,165,166,37,60,109,185,172,18,58,20,169,4,97,98,173}

{178,173,172,69,23,131,71,147,119,164,141,83,158,49,57,177,186,159,80,6,43,168,150,159,40,61,141,163,94,41,95,143,32,180,41,136,167,181,46,155,96,40,150,151,62,104,144,172,108,74,163,65,85,70,30,57,185,145,134,159,103,40,78,50,66,11,39,21,52,155,24,152,123,56,123,91,94,167,51,137,116,118,98,88,14,29,124,114,78,121,5,32,75,44,27,11,109,175,47,9,12,88,156,179,47,139,142,53,90,12,42,114,130,111,177,169,69,152,57,141,143,180,97,84,24,150,46,86,170,131,62,27,170,185,182,171,84,36,150,163,78,170,159,106,14,146,56,115,120,7,106,146,40,80,116,120,64,3,87,150}

{164161613,8499564,42540819,16,2,65819563,1,3,42191246,1,1,1,207431916,13272651,2,183046812,2,5,60543480,27422604,93757230,1,1,53347140,6,1,3,1,8,8,1,268477638,73,1,6,2,57496418,1,4,158,60884208,15,1,1,1,3,121580910,8692208,2,1,38788248,1,1,2,2,71341266,1,5,1,177849460,1,4677300,168028095,21,2,1,36142680,1,1,2,3,2,2,1,2,1,195644248,24866954,1,11,1,3,2,1,1,415166384,1,2,3,36,2,1,19681662,8021933,18144,1,1,1,2,53319373,2,81526515,18167985,1,6,1,1,1,1,1,1,3,1,1,2,5,16,224557290,262516842,3,1,1,314629172,14793975,6,21596757,1,12,75458580,1,1,1,3,38184942,1,102676836,5,6,149611371,2,357995490,68012211,259191660,4,3046308,1,3,1,1,273704246,1,1,3,49683320,1,1,1,1,5,1}

Returns: "Solution exists"
135

"LLLLLLLGLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLGLLLGLLLLLLLLLLLLLLLLLLLLLLLLLLGLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL"

{82,6,68,127,132,98,36,99,97,122,57,89,26,50,102,96,44,117,94,117,45,18,108,10,90,116,46,72,9,2,101,104,49,28,17,122,17,77,132,22,49,9,93,86,0,65,72,88,85,93,117,97,54,83,61,47,55,108,79,29,75,38,37,7,30,48,104,62,30,131,77,38,13,47,97,73,62,55,91,21,94,21,98,6,11,91,128,88,94,11,118,30,53,103,81,68,55,111,36,49,72,127,62,57,35,46,18,30,57,8,55,118,55,78,97,9,73,123,12,30,58,10,93,65}

{30,83,119,58,80,132,51,54,91,18,15,26,84,130,88,98,112,23,110,48,11,128,7,36,7,74,51,95,94,120,51,100,98,11,49,86,29,113,112,128,28,31,129,15,16,28,7,4,25,123,88,69,69,12,82,111,22,25,113,125,124,20,15,0,14,21,109,81,3,57,74,85,52,116,39,86,67,81,6,115,65,65,133,28,98,50,43,71,73,52,62,127,124,99,36,8,11,112,78,59,122,42,131,81,11,17,121,38,64,77,52,102,61,7,116,46,83,119,73,26,96,103,79,83}

{56762720,2546187,32586588,53969082,18878595,31532682,49072026,7,53245479,37848939,381436727,10574980,6453746,1260000,94198758,30505380,22171938,13962102,489695790,113027826,215027180,22661120,1123564,32946549,138527220,263865563,134453450,112076992,363932549,572733070,247004224,405315638,12968054,4578420,190174974,1573476,408908778,216796995,4427121,1361920,1041810,219834956,18102238,4600644,26941628,1,55684928,44282376,526080474,2,9764598,78025563,311233923,2791383,45555552,8593569,752780,20738538,64296018,107416690,111863070,76098810,14568706,115288628,109681415,3544937,589474734,55121424,5695170,165215260,323112585,104423986,510144591,18720949,41634768,13248,4,89037460,209462853,2619650,315931466,1894618,28160622,20005755,25904740,5804640,156354560,53971044,267304896,368116860,5904240,31362090,443602215,48635685,27702291,245527083,5609060,3431817,22662309,11301158,139013184,57181962,6324720,359972473,581143665,92480775,19872740,25366270,34416032,79319640,105123180,125424660,19510020,20744828,269080539,87028525,649152,881220,251566272,4969315,443460,530568531,42767838,2301726}

Returns: "Solution does not exist"
56

"GLLGLGGGLLGGLGGLGGLGGLGLGGGGLGGGGLGLGLLLGGGGGGGGLGGLLGGGGLGLGGGGLGGGGLGLGGGLGLGLGGLGGGGGGGLLGGGGGGLGGGGGLGLGLGGLLGGLLGGLGGGLGGLLLGLGLLLLLGGGGGGGGGGLGLLLGLGLLGGLLGLGLGGGGGGGL"

{41,5,20,2,0,51,6,45,23,3,55,11,22,23,17,0,0,41,7,3,6,55,48,47,22,10,52,8,38,13,16,34,4,46,32,28,54,12,27,32,26,7,4,54,23,9,14,29,47,1,20,8,55,0,51,1,43,30,52,27,10,9,44,44,54,2,29,5,50,7,23,6,47,33,17,18,38,16,2,19,13,23,35,0,39,2,31,6,51,38,53,2,7,46,55,34,17,22,42,42,7,3,20,36,10,44,41,29,5,20,31,54,16,5,11,51,37,27,17,28,20,51,3,34,54,18,27,6,28,47,55,54,17,53,36,11,5,3,7,48,12,46,40,53,47,33,48,13,50,2,37,51,46,24,19,35,31,12,14,8,41,21,54,49,38,15,34,9,20,53,48,22,37}

{28,30,24,5,3,15,37,47,30,29,48,46,50,22,9,27,54,39,24,44,37,6,23,54,40,3,25,54,22,48,19,39,45,34,2,14,32,33,17,20,15,31,55,3,3,11,10,48,20,49,28,31,22,5,35,24,10,52,37,24,24,5,8,49,45,33,35,34,53,33,16,40,44,1,55,16,11,15,24,50,37,42,10,8,49,1,43,16,27,24,26,44,45,25,18,24,53,53,44,49,13,30,6,7,38,31,28,9,29,23,33,45,6,2,0,15,43,3,32,47,11,37,20,38,50,37,32,0,6,30,42,17,55,37,15,27,34,15,47,55,15,39,50,42,8,20,4,35,12,43,22,10,37,2,46,27,30,45,50,35,16,28,0,34,14,12,0,34,55,46,14,15,19}

{3,31442796,431555241,19,3084879,1,1,1,70686,5330325,1,7,88434805,1,6,424815356,1,3,152772127,3,1,430512862,7,159017814,5,1,1,3,115821395,3,1,1,1,2886289,1,63994770,1,4421280,356999772,160642014,1,1,1,3,1,8,1,7,178522734,1,3,108638976,518693885,1,1,1,1,8422029,1,622982348,1,4,3,3,197622981,1,13,1,1,173782880,1,83500560,3,2,1,131822990,5,19357065,1,68084879,3,1,14070238,1,33,1,1,13,1,1,559653100,91879725,1,1,1,1,2,5,59784675,1,1,3,13,1,2074345,1,14307111,1,378478100,1,32,197622981,17185090,19,7,37963233,82833051,1,2,119375382,1,1,3,42147955,1,1,115949396,305388538,286495482,3,107781343,3,496990614,260166900,27518274,108821720,27964276,3,1,1,3,7,1,1,6,1,1,197004054,1,177455649,288626205,183416233,7,516936021,1,303908852,28207872,61,1,165921054,2574585,3,262127817,1,64418670,3,1,1,1,1,9,1,222209799}

Returns: "Solution exists"
134

"GLLLGLLLLLLLLLGLLLGLLLLLLGLLLGLGLLGLLLLLLGGLLLLLGGLLLLLLGLLL"

{24,40,81,96,84,101,46,49,3,117,84,71,18,54,65,27,89,114,121,80,4,53,126,17,84,72,3,3,12,72,123,118,5,102,54,98,0,129,10,91,88,92,22,116,49,2,100,65,63,90,12,112,47,58,47,122,97,95,47,95}

{70,54,131,121,45,12,58,32,56,122,49,115,116,34,119,7,52,81,133,67,14,75,26,30,47,35,91,98,1,11,99,53,56,53,5,74,49,99,88,10,70,6,50,73,42,0,113,79,86,89,131,80,120,93,109,112,110,30,76,15}

{1,326897802,33927195,33890724,1,23732544,6828240,330909410,487900,9695145,297125465,91652979,247611886,87005394,1,611947470,361104920,24145497,1,77712432,571107222,498081736,11680022,63490126,38191335,14,989740,4718690,102003264,6,174853014,1,81020100,135453728,6,20221990,64356083,428140923,7746149,1844012,21117293,2,1,59147276,364293545,71850691,634312,414882705,2,1,173595840,6748800,49844874,4646172,1209378,3388800,1,2144331,6338100,465408}

Returns: "Solution exists"
182

"GGLLGLGLLGGGGGGLLGGGGGGLLGGGGLLLLLLGGGGGGLGGLLGGGGGLGGLGLGGGLGGGGLGLGLGLGGLGLGLLGGGGLLGGLGGGGGGGLLLGGGLGGGGGLGLGGGLGGGLGGGGGGGLGGGLGLLGLGGL"

{133,166,84,34,69,35,67,91,88,91,5,180,125,97,166,38,149,181,95,0,90,74,46,154,87,141,80,33,28,117,38,100,99,58,181,20,45,19,154,8,159,10,166,155,94,22,102,94,37,39,103,40,170,31,74,85,144,25,122,149,105,139,11,112,44,152,78,31,5,19,24,101,46,84,38,135,20,164,62,1,96,152,133,59,24,169,106,31,80,142,138,136,137,170,37,27,181,145,37,65,34,62,21,53,73,74,146,139,31,157,176,63,29,140,71,69,9,73,86,45,85,174,84,31,133,125,28,8,92,127,74,152,177,8,33,94,131,122,34}

{157,23,111,12,175,39,86,137,114,22,115,158,82,67,114,133,180,64,90,172,100,127,81,91,139,0,22,129,90,64,173,18,59,29,78,52,32,37,125,102,10,34,89,169,165,114,11,154,43,100,133,167,98,49,128,119,64,27,42,7,168,151,24,77,5,163,16,61,36,166,45,70,43,59,57,134,55,144,113,29,59,21,79,0,179,38,26,3,53,99,74,144,133,36,93,86,128,47,25,5,86,147,125,115,165,103,94,14,86,1,34,102,4,32,140,131,67,66,177,156,73,93,90,100,142,174,98,159,33,129,53,161,71,12,123,52,164,92,91}

{1,2,13836460,188667696,1,53984951,3,7772121,171627840,1,9,1,1,1,10,166325815,246462736,2,4,1,4,1,1,4326273,119120889,1,1,1,2,1037036,28659340,587541752,41289538,278929178,10753240,1,1,6,1,3,1,156549072,10,1,3917364,76595520,1,3,2,1,1,185265262,1,1,12321780,5,5873140,14,1,1,80428920,1,2,8,1,57084274,2,1101345,3,100236660,2,37141632,1,1,246294940,2,354097847,1,111136788,412170,1,13,1,1,295424610,12416390,1,3,523195277,1,1,7,1,4,2,1,116304780,109907077,4298994,3,3,9,174813106,1,4,1,3,1,1433355,3,23259120,1,2,1,61075336,2,1,5,55578039,1,5,2,4,7,1,2,266389018,1,2,3,27091427,1,354393631,45665718,2,21728091,1,2,21108528}

Returns: "Solution exists"
114

"LLLLGGLLLLGLGLLLLLGLLLGLGLLLLLLLLLLGLGLLLLLLLLLLLGLLLLGLGLLGLGLLLLLLLLLLLLGGGLLGGLLLGLLLLLLLLLLGLGLLLLGLLGLLGLLLLLLLLLLLGLLLGLLLLLLGGLLLLLLLLGLLLLGGLLL"

{15,22,8,20,36,30,89,105,105,65,81,5,69,75,83,96,58,82,29,19,92,70,74,11,23,101,98,27,65,85,86,109,63,78,91,80,63,2,39,12,88,76,76,100,90,81,61,7,19,81,41,56,0,57,54,110,45,38,26,99,106,90,48,62,94,64,34,113,25,18,85,8,7,16,50,36,23,94,96,88,107,15,23,55,5,54,74,98,79,104,41,2,40,9,101,3,27,93,52,59,43,69,14,0,66,89,46,29,40,15,44,86,4,99,32,51,3,88,14,25,45,84,39,60,3,2,7,71,4,28,3,14,55,80,21,93,104,91,17,4,5,2,99,28,80,60,16,40,109,89,2}

{20,80,68,89,110,45,24,65,25,63,70,21,107,72,73,30,25,22,91,113,35,20,100,15,7,4,3,22,39,21,83,1,20,18,108,94,19,9,50,63,84,39,14,32,59,43,81,111,88,83,54,80,7,84,14,68,2,64,104,26,76,11,15,12,9,56,75,51,104,36,14,82,72,106,82,56,109,103,13,28,11,42,11,106,15,112,31,97,0,61,61,56,63,28,56,83,74,99,95,79,98,66,31,56,57,19,92,25,75,96,75,41,22,63,109,35,97,106,95,54,91,83,103,61,36,64,36,52,56,92,92,85,11,28,18,66,69,60,43,43,75,80,102,39,1,81,55,2,21,11,75}

{277652760,21094252,281278660,26467000,1,1,131689000,16968608,58570514,34037792,2,79340094,2,35727492,210807380,540374835,601352047,27399084,59,75405420,44141792,20181784,2,9667020,1,3389836,176599774,78276684,95389152,471777183,99429120,46660206,26400136,4158910,9738127,1,214062840,9,50363454,44139208,207456123,41958480,15060560,44513326,2985300,347760,2478330,44259528,167414490,10,31944576,11253369,7180872,183139537,2,5119660,1,25283440,22822510,10,15528240,1,84486765,41684442,88487370,19372080,62354748,44081628,681843109,32256775,709347610,61263429,21501048,106162056,1,1,1,153643082,234554320,1,2,44548020,26559764,53877096,1,2156928,12100158,315200078,7190546,504789926,111745146,23046921,145835640,32365845,20361972,2,59099838,4,40924372,9677580,21898576,36194428,1,3677502,476131393,10,785066528,54131851,3,65750685,22586544,42073344,2209684,3316600,4028082,57285427,385129186,145670616,83452660,390403968,7,25566940,146283726,382782658,1,189156240,299029800,27111520,1178823,147072032,17616352,1,1,21572129,17766729,206104464,697433908,146394871,803712,1141168,43221804,1,2638300,33865539,113798161,5629770,1,9,9160722,20273000,149558148}

Returns: "Solution exists"
148

"GGGGGGGGGGGGGGGGGGGGGLGGGGGGGGGGGGGGGGGGGGGGGGGGLGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGLGGGGGGGGGGGGGGGGGGGGGLGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGLLGGGGGG"

{99,31,133,11,58,56,50,80,60,147,34,129,34,72,55,3,9,54,114,146,72,18,91,135,127,96,68,75,128,134,18,147,78,2,21,96,136,67,59,25,88,118,14,63,127,97,138,77,130,61,57,25,78,45,133,81,144,123,76,85,25,101,5,108,44,88,26,129,43,81,66,59,21,13,78,15,40,48,132,135,27,86,87,59,20,3,23,53,113,70,119,83,70,42,72,0,33,13,33,24,99,90,80,52,56,1,138,137,142,65,49,124,92,77,45,119,125,70,54,107,75,108,25,77,25,116,102,65,81,17,28,120,4,98,142,44,63,59,33,10,30,69,69,91,20,8,89,88,127,40,26,104,41,111,127,58,38,25,6,23,146,0,30,44,9,23,8,36,2,105,19,57,30,54,44,135,142,93,130,6,14,39,129,76,102,7,0,134,97,103,61,83,85,142,20,73,20,142,15}

{121,20,118,104,25,58,8,37,16,108,104,102,102,17,54,102,49,15,100,76,29,63,61,37,16,20,72,42,59,36,1,140,30,52,82,62,9,69,21,36,48,47,75,66,77,53,97,147,71,53,130,23,29,43,72,126,135,24,5,54,16,124,132,26,6,15,114,80,88,133,146,12,98,76,44,8,98,68,48,147,2,72,79,62,109,141,98,102,94,17,6,77,109,61,71,117,59,119,136,66,58,5,18,82,10,34,74,46,6,106,60,119,79,61,42,0,51,139,83,146,109,95,80,54,64,68,99,2,41,79,62,19,133,138,60,133,38,97,103,120,117,116,42,18,69,141,125,1,79,142,122,34,25,77,49,63,118,50,128,54,34,58,88,82,38,70,62,85,40,65,50,94,29,74,52,20,46,80,68,68,111,68,88,89,50,33,100,20,140,25,110,5,121,107,118,119,69,39,7}

{1,1,1,1,1,3,3,1,2,1,1,2,2,11,1,1,3,1,1,1,1,2601246,1,1,1,1,1,2,2,1,3,1,1,1,1,2,1,2,1,1,1,1,2,2,1,1,1,7,16596828,1,2,1,5,1,1,1,1,1,1,2,1,4,1,1,1,1,1,1,1,1,1,2,1,4,5,1,1,1,1,1,11,1,3,2,1,113446882,1,1,1,1,1,1,1,3,1,1,2,1,7,2,3,1,1,1,4,1,67,125934834,1,1,5,1,7,1,1,1,1,1,1,1,1,6,1,14,1,2,1,1,7,4,2,2,1,1,1,1,1,1,1,2,1,2,4,1,1,1,1,1,1,1,1,1,1,7,1,1,1,1,1,1,1,3,1,1,1,1,3,1,41,1,4,2,1,14,2,1,1,11,4,1,1,4,2,2,2,182,1,1,1,1,1,396407543,12073744,1,1,1,1,1,1}

Returns: "Solution exists"
99

"LGGGLLGLGGGGGGLGGGGGGGGGGGGGGGGGLGGGGGLLGGGGGGGLGGLGGGGGGGGGGGLLGLGGGGGLGGGGGGGGGGGGLGGGLGGGGGGLGGGLGGLGGGGGGGGGGGGGGGLGGGGGLLGGGGGLGGGLGGLGLGGGGG"

{55,57,47,55,96,33,47,47,31,23,75,20,77,70,76,56,28,67,88,71,49,65,96,51,76,6,65,13,33,55,60,42,20,87,80,2,7,49,8,75,75,89,2,53,60,96,35,86,7,75,17,55,9,58,85,55,56,56,11,54,32,51,4,32,5,35,71,33,54,90,2,67,69,37,33,79,62,12,76,20,40,29,62,39,62,82,66,40,39,45,28,2,33,18,58,70,44,52,20,8,28,96,98,53,94,0,75,97,25,45,50,0,6,32,53,53,57,27,63,10,18,19,80,64,33,88,1,24,6,71,10,24,67,61,76,78,97,51,50,43,58,62,33,58,5,3}

{25,2,59,45,58,93,79,54,73,14,85,76,9,9,53,59,62,19,19,79,59,66,84,29,16,70,76,65,64,43,45,1,40,91,29,89,68,90,76,2,82,30,15,1,98,18,2,65,69,47,31,28,55,93,16,94,35,55,36,13,80,6,72,52,37,76,12,69,19,34,47,1,63,55,38,89,64,88,97,65,14,96,32,81,91,60,9,52,26,81,51,67,8,30,4,2,87,19,89,35,15,84,97,90,95,12,64,27,28,63,63,13,27,34,34,20,32,22,2,81,7,73,95,47,23,73,17,53,55,23,41,56,86,31,38,8,40,98,2,86,27,53,61,70,57,29}

{230085813,1,1,3,243446842,46990508,1,228861344,1,1,7,15,3,9,123921075,1,5,5,11,1,1,2,1,1,5,4,3,8,1,1,1,1,13731300,1,1,1,1,7,27768480,295736553,7,1,1,5,2,2,1,5077104,2,1,28303134,3,3,1,1,3,1,1,9,8,1,1,8308340,76990986,4,595561935,5,1,1,7,1,4633720,1,1,1,4,1,4,1,12,1,2,1,2,6671685,14,1,1,2580666,1,3,1,1,1,1,43227396,1,1,4,553775520,10,1,19652298,5,3,2,1,1,1,1,1,2,1,1,1,25,1,1,439266627,1,2,1,1,1,621677319,28984824,1,1,1,1,1,32697184,152,3,3,105268320,1,3,266511672,1,461648191,5,1,1,1,2}

Returns: "Solution exists"
18

"GGLGLGGLLGLGGGGGGGGGLLGLGLGGGGGGLLGGLLGGGGGLLGGGGGGGGGGGGLLGGGGLGLLGGGGGGLGGGG"

{3,17,0,3,0,10,10,0,13,15,17,0,1,2,2,13,16,11,9,10,7,10,0,9,8,6,11,6,5,7,0,14,16,15,2,17,9,9,16,8,14,14,12,14,0,16,1,0,13,5,13,2,4,14,17,9,10,11,1,1,6,1,5,15,9,8,7,15,14,3,13,12,12,8,5,13,5,0}

{11,13,8,9,4,15,4,2,10,6,12,14,8,5,9,7,9,17,4,13,3,3,13,4,1,15,9,13,9,1,7,12,7,0,13,14,0,16,0,2,16,16,7,16,12,14,4,4,8,15,3,3,13,9,1,2,3,7,4,15,16,12,17,8,15,5,11,0,16,16,5,14,0,6,2,8,12,7}

{3,3,141645504,1,195605696,1,2,61005175,168478542,1,6849570,1,1,1,5,3,1,6,1,1,9598716,25626186,1,271560640,1,3733520,1,1,1,1,1,7,110215044,54049369,1,1,91244285,163996605,1,1,1,1,3,418231413,32857671,1,1,1,3,1,27,1,1,1,1,5,1,5264544,630054464,1,1,1,1,116485824,1,245429184,5264544,1,1,9,1,1,1,87360,1,3,1,1}

Returns: "Solution does not exist"
36

"LLLGGLLLLLLGLGGGGLLLLGGLGLGGLGGLLGLLGLGGLGLLLLGLGLLLLLLLLGLGLLLLLLLLLLGLLLGLLGLLLGLGLGLGGGGLLGGLLLGLLLLGLLLLLLLGGLLLLLLLLLGLLLLLLLGLLLGGG"

{24,12,0,12,13,20,12,9,29,31,16,27,28,4,4,35,11,34,24,30,7,35,12,2,17,7,34,4,33,17,15,30,7,16,0,24,4,34,32,21,5,35,17,7,9,34,1,7,30,9,13,33,4,14,11,18,0,24,33,13,13,24,4,12,0,6,19,0,16,28,1,0,13,24,9,26,0,28,34,15,21,11,3,26,31,20,24,28,23,23,29,0,30,5,30,35,11,12,15,19,9,12,8,31,34,19,10,23,12,22,35,27,27,34,19,31,7,19,1,2,18,25,34,25,9,5,8,3,21,22,17,3,20,31,32,19,7}

{12,13,34,3,11,21,20,33,10,19,7,18,11,5,8,6,24,24,18,11,29,6,15,23,26,27,28,7,1,0,8,3,15,9,16,12,34,13,28,33,0,8,24,13,3,8,10,28,5,35,29,21,18,8,35,19,34,8,11,34,28,34,1,22,34,18,1,13,28,23,22,7,4,4,2,20,11,27,6,22,19,7,0,27,23,2,5,13,2,12,14,4,20,23,18,2,6,7,9,30,13,16,13,27,4,24,18,8,16,18,26,2,29,16,18,10,1,4,20,19,30,32,21,3,33,13,20,20,4,19,35,23,8,15,5,25,2}

{26536034,373092826,147915657,1,1,164201466,633878718,71863776,135581271,59766390,110694852,1,55912824,1,1,1,2,16486974,43932686,55644120,24530436,1,2,62555160,1,224580564,1,1,215959052,1,1,5457060,71486460,2,444578842,26536034,1,115902243,1,2,34556371,1,13038718,197239932,333792,31493673,1,27956412,1,618336,115796541,72047638,271818155,88114309,5060592,233355141,147915657,1,294074136,1,43989649,16486974,254964220,56968820,147915657,236054915,218886084,396083011,49375678,11566104,4,251719668,273151585,5550790,1,631574031,503439336,1,88586235,6870260,73024146,11196,12343167,1,10398840,1,3851722,1,1,2,1,348598915,297514140,1,1,73251120,301508280,118554444,4,132311340,96400224,209386886,84332579,1,102007395,33357366,361611937,22173384,209386886,94316780,114451824,1,1,130093146,233355141,92615230,46026756,206387055,492185364,179765055,522774420,75142702,1,15543837,71863776,27077329,143279697,5477373,85060430,71613180,1,847656,143279697,11467460,1,1,1}

Returns: "Solution exists"
48

"LLGGGLLGLLGGGLGGGLGLGLLGGLGGLLLLLLL"

{17,34,34,29,42,2,1,19,3,35,44,12,32,25,6,32,37,2,32,44,19,7,6,46,5,21,7,19,19,41,44,11,4,30,10}

{24,24,38,31,33,34,16,27,28,13,33,16,34,38,21,37,5,30,6,33,17,26,0,45,38,44,31,43,25,24,16,6,41,2,9}

{42819882,319672326,1,3,2,431847670,137396488,5,71369848,5966436,6,274528770,1,117970500,9,1,1,211659630,1,31982466,1,46512648,81685170,1,1,80414748,9,1,1,315976854,424677444,46033875,40766838,211659630,17950554}

Returns: "Solution does not exist"
35

"L"

{7}

{2}

{2276256}

Returns: "Solution exists"
101

"LLLGLLGLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLGLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL"

{15,87,20,26,98,88,91,86,27,86,52,78,100,46,45,14,96,95,12,86,100,3,15,2,81,100,36,63,27,91,33,41,24,4,59,39,22,12,58,89,64,60,74,29,17,52,44,29,10,5,12,4,99,69,54,84,11,92,52,13,14,71,27,21,31,53,78,50,89,15,70,69,12,34,33,65,86,24,92,71,71,29,69,97,87,31,73,86,49,28,52,4,69,46,87,50,64,50,60,48,12,65,90,75,95,58,43,88,79,3,88,52,46,9,67,39,30,33}

{85,39,79,98,34,33,37,58,95,52,90,67,50,85,93,76,79,34,56,26,29,54,50,23,90,83,50,44,98,36,29,78,62,61,60,52,39,52,31,15,35,90,14,33,10,45,27,6,54,13,68,8,68,27,28,92,23,83,40,78,47,52,56,68,58,90,2,88,63,67,73,39,16,38,12,36,91,0,57,70,44,17,47,99,71,54,29,47,0,68,9,20,100,37,45,84,73,18,69,44,82,93,35,7,26,84,50,98,49,13,79,38,80,37,98,49,73,29}

{91470262,85879395,36836466,1,190835547,332813158,2,142026080,133330476,187838210,332493796,625379040,5879700,41747676,165971936,13307844,53367644,194355996,126927780,223756470,127555650,35290206,58510660,802957232,13869092,48835350,225180,208140064,130915407,1005210,263446142,334446588,87517530,560163046,242004864,47044863,19177659,332788505,149156704,556377445,199010373,365119388,5327916,263446142,416912,301875082,277464594,2,4881834,151928427,9654750,367133496,106517250,254130594,196031574,127862130,6942565,51051990,324567675,146586879,307322796,242421419,115036620,27531000,149156704,620550764,774507888,21180820,462718240,37042720,3121300,66064806,643521270,107892408,468598655,304560,15028510,277712442,464310,37525229,371688878,6851216,280181866,166917603,442535135,169174836,7840300,155770930,15389010,232107750,461498783,371139222,230344650,88010172,551066530,16076740,25567100,39445420,371012806,156842290,163615830,2404896,216910884,6384224,211155156,135646048,61652060,170985598,23595390,85368234,43900678,295205352,36790980,817790958,256736480,2760030,12543700,263446142}

Returns: "Solution exists"
115

"LLLLLLLLLLLGLLLLLLLLGLLLLLLLGGLGLLLLLLLLLGLLLLLLLGLLLLLGLGLLGGLLLLLLLLLLGLLLLLLLLGLLLLLLLLLLL"

{101,5,75,49,3,11,19,37,24,23,114,26,50,54,40,8,20,113,1,87,40,35,96,41,25,49,88,109,10,67,52,72,105,54,103,38,59,94,44,59,43,70,2,68,29,99,80,91,30,49,93,60,23,43,1,19,31,95,52,98,59,11,46,68,82,46,52,42,17,48,82,105,111,2,108,36,107,104,23,76,59,50,78,54,76,11,18,22,57,33,113,83,31}

{80,66,76,73,48,63,64,4,109,42,111,45,51,38,23,72,29,26,87,114,101,78,38,100,102,93,77,102,41,70,76,59,73,88,24,41,49,112,56,42,9,61,79,11,40,26,90,0,16,65,88,90,43,103,81,14,68,85,85,38,67,17,104,52,92,104,57,40,56,61,74,22,79,14,106,90,14,114,30,64,53,80,11,64,93,91,41,95,105,107,96,68,66}

{462094083,7669728,180153555,2723544,5524236,40985,448140,292517742,15495720,287493470,89072974,2,90593230,4597326,522717690,264434324,459857348,8584752,5046896,30208982,1,16835920,21538246,42253575,495735205,23794584,40548670,473054232,1,1,60516645,2,19301004,3814515,341940,72373938,6444600,59302680,327502524,13124950,293455908,12,67003999,22079205,605949951,62323800,33360318,254843050,26866224,12,136678740,9720654,293362740,4774860,11215216,2,1678095,2,224178290,118049762,1,1,13744415,55565685,23741004,13744415,81956070,473662326,509734056,1862700,36915322,40322948,1,416618446,7176624,134171202,222628704,48167290,12695760,3162390,1294900,1,4555190,547470,174383220,115220545,90920739,86951116,73629756,172220256,36614352,26547840,574584}

Returns: "Solution exists"
143

"LGGGGLGLGLGGGLGGLLGLGGLLGLGGLGGGGGLGGLGGGGGGGGLLLGGGLLGGGGGGGGGGGGLGLGLGGGLGGGLGGLLGLGGLGGGLGGLGGGLGLGGLLLGGGGGGGGLGGLGGGLGGGGGLLGGGGLLGLGLGGGLGLGGLGGLGGGGGGGGGGLGLLGGGGGGGGLGLGGGLGLLGGLGLGGLGL"

{127,106,62,127,45,128,38,53,9,94,13,46,4,25,62,129,1,104,112,61,134,46,95,38,111,97,20,24,21,82,94,64,130,84,69,27,130,104,129,83,82,102,111,82,132,51,59,85,117,26,92,27,131,112,126,44,43,37,8,104,74,13,129,115,70,62,34,54,100,120,114,124,2,59,24,60,115,36,1,16,97,72,51,5,98,122,70,111,40,107,51,88,87,21,33,104,69,86,56,19,73,18,117,84,83,64,124,26,91,106,130,58,104,108,120,132,113,24,42,27,93,127,81,120,57,77,81,98,24,89,94,115,48,78,20,32,53,107,67,118,18,57,137,72,104,71,5,14,31,42,27,2,94,74,7,135,119,131,104,22,123,4,32,10,136,96,28,112,15,23,138,18,37,80,79,89,77,3,90,123,140,56,0,133,0,123,31,10,59,109,38,11,35}

{131,67,14,73,40,82,85,137,139,14,95,120,135,130,84,21,10,139,85,69,40,37,112,108,100,120,0,69,28,28,21,72,120,10,22,132,123,91,128,68,48,133,75,35,41,117,77,107,109,111,108,22,13,102,93,27,18,127,54,74,130,1,84,75,61,78,142,113,5,51,85,34,113,139,97,53,119,35,7,118,124,116,126,4,115,94,105,15,121,83,97,101,142,132,35,9,105,17,53,8,131,118,50,17,43,123,49,78,37,113,2,81,120,42,54,139,31,25,87,24,54,140,87,86,135,54,110,75,67,123,105,117,78,20,50,141,72,56,100,77,63,5,30,79,139,4,45,93,63,36,57,29,133,135,112,85,105,2,98,59,63,47,37,44,41,97,26,87,108,88,103,41,104,122,132,49,36,54,10,115,27,106,41,72,25,56,80,65,1,49,129,10,26}

{715344,3,1,12,1,20790984,1,232050,1,323265129,5,3,2,401613872,2,1,6669039,66442584,1,137472608,1,1,25240,773420959,1,236599764,1,1,3952806,1,1,1,1,1,29022427,1,1,83746104,3,1,1,1,1,1,1,4,41218166,85404297,99605024,1,1,1,6006000,30452060,1,1,3,1,1,2,11,1,1,1,13,1,51986493,2,82893132,12,621456,9,1,1,2421584,70,1,1,14985619,7,2,632543268,100252524,2,242719,1,1,25107810,2,1,2,26674212,1,1,117810,2,1,1,4279800,1,201264,1,1,51831890,170241708,13102908,1,1,1,1,1,1,12,1,193025100,1,2,181808,3,1,1,53114292,6,4,1,2,6,13265121,1222320,4,1,1,1,75069150,125549814,3,29176350,1,394851030,1,1,1,12364950,1,66442584,2,1,261674603,1,1,9236027,1,3,2,1,1,1,1,1,1,1,338914910,1,267406269,127674148,1,1,4,1,2,4,1,1,492899078,1,10363408,2,1,1,36988692,1,41648568,339916156,1,1,53729832,1,307727004,1,1,675297357,3,35479}

Returns: "Solution exists"
62

"GGGGGGGLLLGLGGGLGLLLGGGGGGLGGGGGLGLGGL"

{13,55,12,57,32,41,46,44,12,3,18,4,48,36,47,2,14,3,45,12,19,9,27,1,60,21,8,55,27,25,19,55,22,47,6,2,54,11}

{17,44,42,7,53,40,5,3,36,37,12,5,43,15,48,56,40,60,41,27,20,17,24,37,36,6,39,39,31,52,47,56,25,6,7,60,4,30}

{1,14,1,1,1,1,1,18954964,538342196,123606518,1,22360140,1,1,1,129682834,3,103924345,32424768,224200624,1,1,34,1,1,3,179278404,2,8,1,1,2,12919388,3,10608213,1,2,92731260}

Returns: "Solution exists"
20

"GGGLGLGLLGGLGGGLLLLLGGGGLLGGLGGGGLGGGLGLGLLLLGLGLGGGLLGGGLLGGGGGGGGGGLLGGLGLLLGGGLLGGLGGGLGGLLGGGGLGGGLGGLGGGGGGGGLGLLLGLGLGGGLGGGGGLGG"

{12,12,14,16,13,5,10,6,18,9,1,11,13,4,3,19,15,1,1,10,5,7,17,16,16,4,0,4,2,5,4,15,8,0,4,6,3,6,17,13,4,17,12,3,0,4,9,9,5,2,2,10,6,5,4,14,4,4,9,16,13,10,5,18,14,14,9,10,8,9,18,15,16,9,15,19,4,4,4,16,7,10,14,1,12,4,4,6,8,10,6,10,13,6,15,5,0,8,4,16,13,7,10,3,17,17,3,3,11,15,8,10,0,3,1,12,8,15,6,16,2,1,1,11,10,4,17,18,4,18,9,6,16,3,1}

{13,15,11,6,4,16,1,14,7,19,13,7,19,6,4,17,8,19,13,7,13,8,5,3,4,1,2,13,15,15,5,7,5,14,7,5,6,5,12,1,19,0,19,6,14,0,12,6,18,16,7,6,16,7,19,9,3,18,19,13,3,9,11,12,7,19,5,18,6,19,8,7,19,16,19,10,3,11,10,7,0,4,13,16,17,16,13,2,2,5,8,7,18,18,7,11,1,15,19,8,9,16,3,7,15,19,4,17,9,17,17,19,12,0,12,2,7,6,15,7,8,13,2,7,18,13,16,5,10,5,13,0,14,8,19}

{1,1,1,521086890,3,24475215,1,577943730,56687046,1,1,1078428,1,2,6,208733,216004010,227906617,81971175,431840838,5,1,1,3,45280440,40171608,1,3,189788360,1,1,2,5,2551185,6,1,2,95467070,1,81971175,1,9345,839434669,43489434,2551185,3,713712303,1,92588190,5,2,1,521086890,82360590,1,9,6,17129304,756001107,15,3,1,1,1,39,1,1,1,1,756001107,326258490,2,1,218416095,1,740316313,3779064,36334728,1,3,3,130490712,1576575,1,1,45280440,3,2,5,117555845,1,1,69905550,197123874,2,1,1,1,156728664,5,3,3,107103678,6,1,208733,6,1,1,1,1,1,1,3,215158093,1,290218890,130508626,130508626,3,97840840,1,224092760,446,1,3,180915,1,1,5,3,1,49389795,1,1}

Returns: "Solution does not exist"
10

"LGLLGLLLGGLGLLLLLGGLLGG"

{4,0,0,0,2,7,8,5,7,2,0,4,6,6,2,7,6,6,8,9,8,9,7}

{1,1,3,6,0,9,6,8,4,0,2,9,9,0,0,0,9,0,1,4,3,8,5}

{415952365,1,14789928,1044824,1,189250009,37376328,23867142,1,1,35190040,1,1524952,1044824,35190040,33461944,1524952,8,1,304973071,44089818,1,67}

Returns: "Solution exists"
46

"GGLGLGGGGGLGGGGGGLGGGLGGLGGGGLGGGGGLGGGGGGGGGGLLGLLGLGGGLGGLGGGGGGGLGGGGGGLGGLLLGGGGLLGGGGGLGGGGGGGLLLGLGGGLLGGGGLLGGLGLGGLGLGGGGGLGGGGG"

{9,23,33,24,36,17,40,39,14,37,2,41,44,26,35,42,20,21,23,20,8,9,28,40,20,5,30,8,30,26,22,9,1,9,8,20,15,18,29,33,38,12,31,0,41,29,37,35,13,24,34,27,34,21,16,25,21,13,19,5,2,30,38,43,0,31,39,25,44,27,20,29,6,42,18,4,31,20,36,43,2,27,13,37,44,18,36,12,20,18,43,30,3,9,10,32,3,10,8,3,15,14,31,20,10,43,25,23,12,42,18,12,34,24,2,24,19,21,11,42,17,16,44,22,8,42,8,27,5,35,16,21,26,35,39,35}

{41,36,28,45,3,25,0,18,21,15,31,4,4,32,34,36,8,6,30,28,2,1,36,24,0,18,2,2,4,42,3,30,14,23,1,32,7,40,34,26,11,45,12,44,21,16,4,24,25,0,8,11,31,19,13,38,30,43,44,12,45,1,15,2,24,23,10,37,10,11,40,26,45,15,27,16,3,2,2,26,14,31,14,26,19,39,44,15,45,16,8,26,29,33,5,43,37,24,9,4,16,13,32,16,2,11,44,38,13,21,19,20,14,34,8,16,45,25,39,36,10,38,28,20,24,14,12,35,4,41,5,15,39,16,12,32}

{3,1,776127725,2,8049139,3,1,1,4,1,4054794,1,1,2,1,1,1,308807076,1,1,3,121246227,1,1,170490824,1,6,3,1,38935098,1,3,1,1,3,86978512,1,1,1,1,2,1,1,1,1,1,504709660,2062074,1,49963816,6028395,3,154980915,1,1,2,24415836,1,1,68970041,2,3,1,1,2,1,1,215781540,1,3,1,1,1,1,692654787,1,1,6724428,13049022,4199442,2,3,1,2,118924595,88814842,1,1,4,1,1,11762238,7,1,1,1,1,1,3,10401307,15602374,2966128,1,222830444,3,1,1,32843296,44711009,1,1,1,1,25107190,157722,2,1,162864276,2,137821887,3,2,44770925,4,2752818,1,1,3,1,3,501378142,1,2,1,1,1}

Returns: "Solution exists"
21

"LLGLGLLLGGLGGLLGGLGLLGLGLLGLLGGLLGLGLLLLGGLLLGGLLLLGLLLGLLLLGGLLLGLGLLGGGLGLGGLLGLLLLLLLGLGGLGLLLGLGLLLLGGLLLLGLGGLGLLLLGGLLLLLLGGLLGGLLGGGGLGLLLLLGLGLLLGLGLG"

{1,5,18,7,18,14,19,11,12,5,19,19,15,5,13,9,3,2,0,1,20,8,13,13,11,13,3,12,14,3,6,11,4,20,6,17,15,1,1,20,1,18,12,17,3,7,1,11,12,3,2,8,11,11,19,5,18,10,7,14,11,17,18,12,10,14,1,10,4,3,12,5,19,12,4,14,11,19,5,9,10,12,2,8,13,18,15,0,0,11,0,17,8,14,5,10,9,11,4,17,1,13,10,2,20,4,19,14,4,20,0,3,7,19,12,16,16,7,19,20,17,13,16,16,6,3,19,13,5,6,9,13,7,16,13,15,16,10,11,18,15,19,19,5,20,19,13,15,17,9,7,4,1,14,4,15,7,6}

{18,2,17,5,8,7,15,9,0,9,12,14,14,0,3,3,17,13,15,6,14,5,8,8,15,6,19,18,12,19,7,18,0,4,4,12,5,14,20,13,16,5,9,2,14,13,8,18,0,1,5,14,5,7,0,2,5,13,12,17,9,8,2,4,6,8,14,9,2,18,5,14,5,14,13,10,8,14,15,2,3,19,9,16,2,15,4,13,6,1,20,15,4,7,16,6,8,13,19,9,11,0,0,18,5,16,4,12,20,3,11,14,1,18,13,4,12,8,2,18,19,19,15,3,13,8,14,3,12,17,17,11,2,18,12,16,7,6,20,20,8,17,1,10,2,14,11,7,12,10,14,20,4,15,0,18,5,12}

{229839870,10081492,2,74648564,78,176215948,219769289,26463860,1,4,44533558,1,1,48283044,446994,1,1,363546,1,28864778,157007044,4,702468,6,236602390,393642,1,18165030,22186508,1,1,44340270,5004453,1,3394299,2,92763004,280723132,175872014,2398446,1,2,2168308,27863356,87783348,1,2,44340270,10090362,98330838,10081492,4,114708980,190399490,114389679,2,86920860,9197406,15600322,146708564,2,4,19484790,5844918,30953843,4,280723132,1,6269574,23957310,2,4,1,22186508,3,602080484,2,1,92763004,2325844,1,44533558,2325844,67054884,363546,179285730,28844169,580374,1,303318410,1,1,12114492,1,51602444,30953843,6741228,2,66261081,4,303318410,580374,136912263,19484790,2,1,66261081,22186508,41362674,54995946,1,87783348,1,1,338922,1,10784062,97002204,47769094,128548290,1,1,53218421,21334161,393642,16107468,503035972,446994,2,1,14337964,4136490,1,1,338922,53218421,1,1,2,2,120541044,1,563477582,255053212,14909638,503035972,4136490,1,25976092,1,176215948,41362674,73955022,1,5004453,1,74648564,1}

Returns: "Solution exists"
152

"GGGGLGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGLGGGGGGLGGGGGGGGGGGGGGGLGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG"

{69,45,62,95,52,94,64,26,0,42,14,104,98,129,7,118,29,63,27,33,62,69,68,131,143,48,93,116,79,8,57,123,132,68,87,92,26,60,100,84,63,56,64,51,55,135,12,130,117,66,131,78,91,58,57,85,35,16,57,94,94,12,99,29,148,120,124,119,100,46,71,91,6,32,4,99,62,151,112,82,59,46,12,126,88,151,9,7,42,22,4,121,131,70,46,39,21,57,7,105,130,36,74,119,91,34,100,55,7,8,25,108,126,137,54,143,53,44,133,3,44,11,62,100,126,37,19,136,128,88,140,24,143,20,92,111,110,146,55,11,0,75,108,89,73,40,6,13,93,43,91,107,0,139,124,31,149,77,20,63,40,29,116,139,25,25,128,113,19,6,92,82,11,116,15,24,66,136,10,87}

{54,131,38,145,98,23,31,109,13,147,138,43,60,48,111,31,31,47,41,128,97,73,16,148,17,117,151,77,139,146,78,44,67,108,129,101,51,139,41,106,74,34,18,67,111,141,5,46,151,134,134,11,4,41,120,99,135,45,64,137,72,117,56,80,44,72,38,46,30,101,132,128,81,34,1,72,12,13,145,28,7,52,72,104,94,2,85,110,140,130,148,12,19,32,148,38,137,61,132,149,93,99,96,39,145,82,32,16,26,121,147,1,63,56,8,87,31,124,110,119,55,35,84,143,82,115,27,24,10,14,32,109,109,14,49,144,39,102,47,66,27,15,89,150,150,41,91,123,112,69,120,50,118,87,55,64,15,22,47,16,2,24,38,125,121,61,82,74,130,19,104,91,30,140,55,12,104,21,3,123}

{4,2,1,6,58832708,1,2,3,6,1,1,3,1,2,1,3,1,1,8,1,3,3,1,8,1,2,1,1,1,1,10,1,1,2,8,2,15,1,1,24,3,1,7,5,1,8,1,5,2,2,2,3,1,2,1,5,4,1,2,14,2,3,5,1,1,1,2,2,1,4,2,1,2,2,1,5,3,4,1,1,1,25809520,3,237,14,2,27,1,382905,1,1,1,1,2,8,2,2,1,2,2,1,1,1,2,359878506,1,1,1,2,1,1,1,3,1,1,2,6,1,1,1,1,3,2,1,1,3,1,1,38,1,1,1,1,1,1,5,1,2,1,1,10,1,11,1,2,1,1,1,1,1,1,1,3,2,2,2,2,2,1,1,1,1,1,1,1,1,1,2,1,1,2,1,1,5,2,1,2,1,1,1}

Returns: "Solution does not exist"
93

"GGGGLGGGGLGGGGGLGGLGGGGGGGGGGGGLLGGGGGGGGGGGGGGGGLGGGGLGGGGGGGGGGGLGGLGGGGGGGGGGGGGGLGGGGGGGGGGGGGGGGGGGGGGGGGGLGGGGGGLGGGLGLGG"

{26,66,14,33,29,60,65,67,74,37,42,20,66,24,31,60,10,28,32,51,27,92,73,62,26,7,72,36,90,48,37,7,40,39,72,80,13,17,37,6,48,92,78,44,70,63,37,32,0,31,25,16,26,56,51,88,37,92,65,56,10,55,41,16,57,67,20,4,26,57,4,9,85,37,53,64,26,13,92,36,9,0,7,1,50,20,88,80,16,19,24,74,5,8,61,91,51,83,44,22,16,58,64,21,36,31,68,57,42,1,3,82,60,83,20,60,14,53,73,17,2,19,18,29,66,83,6}

{83,9,6,91,75,44,49,76,2,27,49,76,70,71,84,59,70,63,46,37,11,62,28,7,77,85,86,45,10,45,60,82,64,42,50,35,18,65,47,46,37,62,21,16,39,32,42,68,37,42,54,83,19,44,5,63,60,34,70,15,33,6,90,46,28,71,78,43,35,50,9,70,67,57,32,82,43,69,7,29,19,2,69,4,59,85,73,64,29,22,30,36,44,1,87,67,20,79,17,40,25,19,69,61,67,61,38,2,9,59,31,37,40,63,9,6,27,49,34,56,18,47,3,53,35,48,15}

{1,1,7,1,39061815,83,1,1,4,21971325,1,1,1,2,31,113807691,1,1,67897564,3,5,3,1,3,1,12,1,1,1,1,1,43832280,21551860,1,3,1,1,2,1,1,1,3,2,1,1,4,1,1,1,28124936,1,1,1,196,51562137,36,1,2,2,2,1,1,5,1,1,1,249099102,80,1,141759948,40,2,1,69,2,1,1,1,6,1,5,1,1,4,101435697,1,3,2,65,3,2,2,1,1,2,11,1,1,4,1,13,3,1,22,1,1,1,4,8,9,1,45232881,1,1,1,1,1,1,22389000,4,1,1,145257560,1,1068051,1,2}

Returns: "Solution exists"
182

"LGLGLGLLLGGGLLLLGLLLLGLLLLLLLLGLLLLLGLLGLLLLGLLGLLLGGLGLLLGGLLLGLLLL"

{81,95,150,116,98,84,73,99,64,6,104,102,83,162,164,125,154,107,148,80,53,31,144,114,7,127,140,111,84,176,152,172,70,26,170,83,135,155,58,146,108,1,19,109,89,33,36,168,150,22,180,137,61,95,35,0,1,61,41,121,60,33,119,137,141,45,143,32}

{5,65,122,113,35,56,175,57,8,18,163,110,117,172,43,146,77,2,121,67,11,156,29,106,176,172,123,55,12,32,29,65,58,136,95,113,90,19,153,138,170,175,45,4,159,156,151,15,2,174,161,181,101,171,131,31,89,131,20,102,169,47,143,42,21,164,168,149}

{156372520,1,217666407,2,193629040,1,218746810,10911131,22240953,2,1,1,484870977,46444820,130988128,610125387,1,176206437,25993100,127717724,179644446,1,684988025,106740,2935973,6545340,130032,33032276,621034369,15619949,1,5005260,63799254,28400580,94029160,171324938,1,429248064,572401773,1,77949230,23814790,139878501,277600920,2,329434506,33397987,1,645240057,302645904,312179904,12,1,92249896,80,189551713,13859488,212316000,3,1,354361660,61651800,299642442,1,57652836,216845472,195838594,278645226}

Returns: "Solution exists"
102

"GGGGGLGGLGGLGGGLGGGLGGGGGGLGGGGLLGGLGGLLGGGGGGGGGLGGGLGGLGGGGGLGGGGGGLGGGGLGGGLGGGLLGLGGGLGGLGLGLGGGGGGGGGGLGGGGLGGGGGGLLLGGGGLLGLGGGGGGGGLGLGGGGGLGGGLGLGGGGLLGGGLGL"

{39,56,2,81,43,56,90,92,98,76,47,49,57,38,100,21,50,45,79,97,31,64,64,18,76,48,5,49,6,91,95,87,50,29,81,5,27,97,48,20,69,73,90,87,75,66,14,15,27,6,57,24,15,56,56,12,24,97,43,17,93,16,23,65,20,79,35,82,44,83,1,87,1,77,91,2,89,58,32,4,16,29,94,24,44,8,92,93,97,59,53,11,15,5,68,91,21,72,86,9,27,100,23,28,54,91,51,67,65,38,77,58,7,67,87,4,36,57,89,21,80,56,74,19,71,100,37,44,35,45,10,80,11,59,33,36,72,58,79,36,99,11,93,15,52,36,16,7,40,91,13,37,2,54,56,38,50,64,11,2,34,52,70,62,55}

{15,45,95,76,10,5,96,31,101,24,22,67,26,88,53,60,48,48,71,42,61,57,39,7,73,47,70,82,80,60,54,79,96,7,18,88,66,89,60,70,5,101,78,63,62,17,54,44,73,32,32,94,91,84,65,17,35,92,24,77,47,101,11,89,71,23,17,9,85,41,39,51,64,59,58,28,61,73,21,62,8,73,48,22,23,26,86,33,89,38,94,35,70,75,19,5,0,27,0,79,87,35,79,72,44,89,7,71,88,43,23,26,58,51,66,3,42,99,30,56,6,63,95,36,87,84,65,37,4,3,2,101,87,23,18,10,80,53,99,38,30,12,70,60,6,54,84,74,73,23,23,41,27,92,51,3,60,14,51,70,11,39,65,48,50}

{1,6,1,1,1,30794484,1,1,61583913,1,1,39944046,163,1,2,19009445,2,6,1,307092970,2,1,1,1,1,1,69474348,2,5,1,1,112160910,227819438,7,1,22272740,2,2,5753202,454491,4,1,1,1,1,2,1,5,2,5233150,2,1,1,153594,21,1,48369204,1,9,1,1,1,27673605,1,9,1,2,1,1,2279130,1,3,1,1,58244931,3,2,1,82039690,2,1,2,11534160,118231434,1,193867962,1,1,2,653680794,2,1,4883895,1,808515178,1,54536880,27,1,1,3,4,1,3,1,1,1,21784401,7,3,1,1,18151245,3,1,2,1,1,1,11341470,255775,2145864,4,1,3,46,255012156,142591060,2,37289772,7,1,3,1,1,1,1,3,308252630,1,391736821,9,3,1,1,11,10804986,7,1,1,80662781,1,532224,1,3,2,7,7556133,34244055,3,1,1,6978069,2,187546590}

Returns: "Solution exists"
179

"LGLLLGLGLGLLLLLLGGLGGLLLGLLGLGLLGLLLLLLLLLGLLLLGLGLLLGLGLLLLLLLGLLLLLLLLLLLLLGLLGLLLLLLLLLLGGGLLLLLLGLLLGLLGLLLLLLLLGLGLGLLGLLLLGLLLLGGGLLGLLLLLLLLLLLGLLLLLGLLLLLLLGLGLLLLGLLLLLLGLLGLLLLLLLLLLLLGLL"

{107,68,132,4,135,139,147,31,45,53,99,47,39,5,102,66,94,55,147,177,119,161,131,41,115,119,152,47,25,123,178,106,57,112,130,31,28,8,149,116,137,44,149,53,86,167,124,51,48,44,85,159,36,14,43,75,130,68,114,10,45,89,2,162,62,146,173,150,76,149,132,58,127,108,6,136,72,139,104,63,8,120,178,28,119,118,61,155,87,145,95,42,72,173,56,138,135,162,83,152,150,161,31,80,44,47,74,178,14,40,136,11,9,161,158,58,44,54,22,42,159,45,51,43,105,25,11,79,10,165,157,10,144,51,132,43,2,69,148,58,170,71,66,7,67,81,118,118,172,20,147,4,140,155,29,109,128,178,161,95,28,147,147,141,8,45,158,47,103,34,138,74,116,155,178,69,116,90,106,81,104,86,126,56,100,59,26,5,15,112,97,113,159,155,62,132,17}

{37,139,63,51,138,156,33,143,22,134,124,138,31,36,128,174,39,104,113,120,90,33,41,149,62,118,31,62,154,26,67,71,108,175,62,167,90,101,93,85,105,141,112,4,52,80,143,88,118,128,87,149,100,156,25,164,151,143,127,1,43,38,130,41,91,147,139,119,81,102,9,175,135,140,125,80,97,102,47,81,29,15,37,72,15,86,87,46,18,165,66,51,33,20,62,35,80,157,132,131,131,59,142,62,94,52,72,83,102,134,92,95,125,40,118,55,127,133,120,13,127,172,71,11,144,164,58,99,40,106,11,88,123,142,38,96,99,115,154,59,5,128,17,30,155,23,157,132,58,122,7,26,121,101,82,51,109,53,60,22,38,74,132,91,0,7,46,89,178,47,135,127,83,125,59,51,24,86,83,53,46,94,75,19,142,143,50,174,159,163,173,68,87,141,26,65,153}

{373792,1,41629056,4217035,2190024,5,120504836,1,12582811,5,31289943,1442232,188882265,19583914,2743073,34062141,3,1,313127598,2,1,16357204,177931068,20860514,1,13828032,118927985,1,144922162,1,13368636,94909522,2,31959764,163206780,11284790,490947536,529634391,174272,10367115,2593482,25643010,1,79387065,81235,31553530,168484803,1,8336448,1,15551808,431790,317773226,12,64475488,1,104102460,756753332,126492086,104944266,84791776,273727794,2418020,1,731616600,108774676,220178835,605936680,9895020,16804022,30714240,17770532,274097726,134650142,162288,106058172,16013118,1,124599497,6504540,3,145019308,21024,513580848,350214116,4253760,21427392,28603100,4334784,21082616,302982639,1,1,1,447974472,65016,107899238,35757480,23076480,82943364,4,17153324,34234970,272233002,3,33385,713502933,1,258669624,109748740,18397236,31163764,225840,11311028,1493568,321348014,2,22382988,1,34760185,1,215711277,6319942,4,10932366,553590422,15838316,14527995,2,3604072,6260452,48610380,230134920,1,1,1,320959182,656024872,2,82002076,26135872,3504946,209338050,85354505,52396100,73440,1666368,19584,227606262,29994970,1,334729455,57564342,208461700,59973390,2506634,1,1573515,15392674,13061707,247289104,665393326,73629312,19762600,1,41549635,1,156922854,3009060,14936449,2190024,1,19364730,123600,7361028,5768968,68653035,170763355,2,1465740,207286388,1,113326352,144911800,105029218,293623228,108971115,5825162,8096340,26497119,13232718,400827756,3800640,7117300,3,2226048,61849200}

Returns: "Solution exists"
52

"LLGLLLGGGLGLGGLGGGGLGGGLLLLLLGLLGGLGGLLLLLLLGGLGLLLLLGGGLLLGLGLGLGLGGLGLGLLGLGGGLGGLLLLLLGLLLLLGLLLGGGLLLLGLGLLGGL"

{29,10,38,36,29,33,41,18,28,26,16,12,22,31,9,25,4,15,35,41,29,9,46,46,16,25,40,28,23,16,34,42,14,1,8,13,32,50,26,0,34,7,2,12,20,0,38,25,10,29,28,17,11,22,17,39,46,25,22,22,19,9,15,15,38,30,48,48,7,51,35,4,3,26,8,11,36,9,38,5,16,51,5,41,38,41,19,16,20,51,0,1,26,33,33,44,38,49,20,16,31,21,1,13,9,39,34,32,43,40,9,16,21,50}

{42,8,40,42,17,13,2,27,21,43,32,3,16,51,44,3,19,35,26,4,5,30,17,11,8,51,30,39,19,35,46,8,32,29,49,14,0,37,16,2,38,16,20,40,2,22,20,7,23,8,20,8,39,3,46,25,12,23,37,30,5,32,30,35,13,51,43,47,35,36,21,34,0,4,27,21,25,43,11,15,44,17,8,36,42,22,45,44,4,29,49,21,37,46,17,5,12,44,6,36,36,3,16,11,32,14,17,1,49,4,21,39,40,44}

{158301318,18016912,1,174387549,153482910,92680005,7,1,1,270085550,1,207408110,1,1,722126,1,1,1,5,1933659,1,2,15,195964650,75242544,24206766,1459380,19574713,327129433,41,9081450,31646544,1,2,46936976,11,1,577761977,765881025,733178075,7440062,128031930,304047975,792499470,1,1,41260989,1,128572277,19162864,16510791,30683280,262053469,1,15,1,19060650,198734933,42801967,1,433947883,2,882804,1,12135585,6,234962446,1,5,36698718,1,13613526,1,199563525,16793456,1,153460433,2,1,1,3642522,3,1,5353803,44257143,4071249,15915121,3642522,25165899,2,435845771,3711246,727788425,279370350,327705855,1,15615614,2272238,250049481,1,1,1,165653202,65010495,102391000,242845229,1,173679000,1,66261465,6563802,1,3,2997178}

Returns: "Solution exists"
16

"GGGGGGGGGGGLGGGLGGLLLGLGGGLGGLGGGLGGLGLGGGGGGGGGGLGLLGLGLGGGGLGLLGGGGGGGGGLGGLGGLGGGGLGLGGGGLGGGGGLGLGGL"

{2,9,14,2,1,2,6,4,12,2,4,8,4,5,2,5,14,11,13,11,11,12,1,2,12,1,11,2,9,7,0,11,13,7,4,11,12,12,1,7,3,12,3,10,2,8,8,6,2,3,15,8,9,9,5,9,2,9,11,0,2,4,4,12,10,7,15,14,3,3,5,1,5,6,14,8,13,12,1,6,13,9,11,13,0,2,9,5,5,3,13,12,2,5,6,15,15,10,14,12,13,2,4,2}

{0,3,13,5,12,1,10,8,10,6,2,7,6,9,9,11,0,10,6,5,4,1,14,4,8,5,2,1,5,8,7,14,14,13,7,13,0,4,14,1,6,11,7,3,6,15,15,11,13,0,0,5,4,7,15,7,6,8,1,10,1,0,11,8,4,14,6,13,14,4,0,6,12,4,11,14,3,13,10,9,2,3,10,4,4,4,13,15,6,13,5,0,4,13,12,12,10,13,4,11,11,5,14,3}

{4,6,2,8,1,4,1,1,1,1,1,36544730,83,28,4,302664712,20,1,176671310,302664712,406316623,1,5480280,1,1,4,626382392,4,28,36544730,1,1,2,21218482,1,1,512070900,1,5480280,1,1,1,1,2,1,5,5,1,2,48090900,5,12139960,430597692,17,128191560,17,174542360,2,1,4,4,300103100,1,55617270,201657796,1,5,2,78,1,4,1,1,83,132429960,10,2,548969406,4,1,247989608,6,1,1,1,317850824,34,128191560,1,2,2,1,317850824,2,1,3,1,2,67200120,1,634022582,8,1,50934936}

Returns: "Solution exists"
196

"LGLGGGGLGGGGLLLGLLGGGGGGGGGLLLGGLGGLGGGLGGGLLGLGGGLGGGLLLLLLGGGLGGGGGLLGLLGLLGLGLGGLLGGGGGLGLGLGGGGLLLGLGGLLGGLLLLLGGGLGGLGGLGLGGLGGGLGLLLGLLLGLGGLGGLGGGGLGGGGGGGGGLGGGGGGGGLLGGGGLLGLGGGGLGGGGGLGGGGLG"

{15,123,55,25,12,40,92,87,191,131,111,16,39,67,124,185,179,147,121,68,175,68,40,110,69,101,24,172,151,6,191,10,182,132,168,166,19,11,173,32,10,20,12,151,139,174,108,74,4,159,59,101,151,119,78,39,73,84,186,140,171,190,6,137,48,170,41,155,126,164,49,141,21,149,142,45,40,161,21,94,61,75,139,75,144,128,69,181,91,49,55,155,13,20,57,29,192,191,72,34,103,170,124,87,100,170,112,195,26,155,183,193,66,189,102,175,24,153,147,185,131,161,153,42,48,88,188,117,104,78,142,151,71,62,49,29,39,87,69,87,127,54,19,73,124,148,114,32,46,55,83,19,104,82,79,111,22,168,21,94,130,112,129,2,52,190,183,84,131,172,168,88,166,0,130,58,164,52,171,92,108,10,53,29,128,182,79,184,119,108,191,162,44,110,18,80,45,190,95,89}

{19,109,128,18,134,50,60,34,111,176,32,45,144,65,112,140,174,166,157,175,57,106,176,10,148,116,27,195,182,93,89,84,70,103,83,146,137,133,6,173,110,179,102,73,128,26,95,182,141,47,183,8,100,52,33,190,91,13,51,40,88,3,93,190,9,82,85,39,146,14,59,187,56,175,17,53,84,162,132,30,3,6,36,121,23,88,21,86,147,153,147,40,131,109,135,148,167,120,95,147,172,139,118,124,50,190,108,191,96,136,21,184,18,86,19,126,102,156,38,33,142,164,7,71,131,141,96,136,193,12,6,80,90,142,191,138,123,52,22,136,103,137,40,171,87,81,83,94,2,31,47,136,48,140,134,188,174,103,125,95,162,31,158,90,11,150,32,177,103,185,121,155,26,155,55,47,186,71,60,135,36,97,34,19,78,21,26,17,38,90,100,18,35,184,40,16,49,32,67,14}

{9441660,1,519338717,1,19,1,1,80257782,1,3,1,2,143266629,63104713,45223336,1,98690090,136668602,1,4,2,4,3,1,1,10,1,85175100,13183326,16166220,2,3,123437106,2,1,14076622,15,16,60,1982400,1,2,1,398705788,627819053,1,50471512,1,1,1,304617,1,1,1,97419954,9701241,154502460,114576,150188871,24481428,1,1,10,24356685,1,1,1,1,2,535750370,61888881,2,28418410,239753956,15,31628150,140496,2,63776650,1,8558514,4,1,120276836,405295670,1,1,6,1,1,309802739,1,177993816,1,49353810,2,1,2,1,386031138,2850304,540110225,1,49864782,1,1,21738808,32688450,1,4,457486,121027386,380403803,628398,13011420,4,1,3,360091067,1,3,209721180,1,1,68546634,1,6591003,2,1,6436326,15,1,5,12366255,1,24316080,29482332,10961742,1,23544444,151221760,242381730,3,605892,1,1,460020,1,1,463492973,1,3,2,12,35879752,1,1,4,1,1,1,1,10,1,15243216,1,59,1,2,1,1,1,1,83453192,377855203,1,1,1,3,72618425,46780552,3,60009150,1,1,2,1,75735030,1,13,1,1,1,160868802,1,2,1,1,58737662,2}

Returns: "Solution exists"
175

"LLLGLLGGGGGLGLGLLGLGGLLLLLLLLLLGGLLLLLLLLLGLLLGGLGGGGGLLLLGGLLLLLLLGGLLGLLGGLLGLLLGLLLGLLLLGGLLLLLLLGGGLGLLLLLLLGGLLGLGLLLGGLGLGGLLLGGLGLLLLGLGLLGLLGLGGLGLLLLLGLLGLLGGL"

{135,65,171,89,34,172,73,143,106,45,71,52,34,21,96,161,110,70,76,56,110,110,31,78,133,161,98,107,142,51,150,136,135,169,131,33,105,153,96,136,22,75,121,144,110,26,172,39,143,52,129,154,34,30,116,137,131,111,0,112,4,70,55,130,173,83,99,39,39,132,28,2,106,167,122,77,149,166,100,92,12,127,173,70,12,0,37,43,90,47,152,10,70,134,170,75,43,113,142,143,27,55,52,134,163,35,138,35,91,128,93,134,28,153,142,68,42,136,135,156,70,3,0,107,156,147,16,39,71,76,90,151,107,30,172,28,88,142,79,16,38,62,25,163,5,56,98,43,172,66,127,12,32,7,130,173,101,80,77,126,101,82,10,10,69,61,17,131}

{78,146,153,155,12,85,108,157,94,118,66,149,164,71,153,84,36,122,44,36,85,129,7,62,101,92,149,145,62,155,30,95,97,43,11,169,78,98,129,151,130,24,132,61,126,47,141,165,78,23,35,1,147,151,133,5,163,145,13,123,98,24,138,141,32,128,172,50,27,121,117,10,45,115,41,80,6,33,124,46,28,61,142,8,147,134,84,31,154,154,82,164,134,78,109,77,137,82,125,35,66,69,80,103,74,16,53,161,130,5,99,41,50,126,171,38,128,173,73,117,12,75,18,58,53,104,75,149,144,62,51,128,75,109,167,97,135,155,53,55,116,58,109,111,89,34,44,10,65,100,106,49,115,166,102,2,68,15,9,148,18,38,99,8,96,165,80,154}

{58711438,1288650,89911446,2,88594650,265147197,1,1,1,1,1,204464,30,66308372,6,108980340,368950,1,21670050,1,1,384272,104907300,4561770,9597075,586011810,503296,63663551,4576005,9844926,117371590,2,1,78607368,59061152,4014824,85573806,2293248,13024368,136474962,173631576,12515598,1,448129831,257278,218587905,1,1,64743806,8,1,1,1,1,61358860,192094984,18659606,132457973,1,1,10973696,191019155,44742414,198958632,293182314,50402430,346685640,1,1,41672958,493461822,3,38530681,48157431,3,39,26572456,58652,17,44322003,8268834,2703417,3,59201265,46063897,23825574,6,223190100,405585821,296339287,35336580,3,1,7386318,6411130,17420598,274366386,62739596,229778136,129223415,15,1,13,4625757,1,7932510,33679944,41358810,112498968,174484440,1124760,1629387,1,1,251667738,10814508,117,59220354,1,13691707,159337345,32751666,2,1,18946584,1,103986,1,1,10950,32770941,8059545,1,1,7208593,1,419252657,80512614,158008824,5459742,4,16031895,1,49956886,73567464,1,1013248,59390793,1,176715,1,1,387106509,4,16478280,182607918,13025700,471507582,120052959,1,24624600,26969892,3,12678501,528401286,1,3,101353766}

Returns: "Solution exists"
122

"GGGLLGGGGGG"

{31,114,119,49,61,42,97,30,61,100,51}

{12,107,25,91,79,82,31,82,51,36,67}

{1,1,12,41642006,238716854,1,2,1,1,9,5}

Returns: "Solution exists"
185

"LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLGLLLLLLLLLLGLLGLLLLLLLLLLLLLLLLLGLLLLLLLLLLLLLLLLLLGLLLGLLLGLLLLLLLLLLLLGLLLLLLLLLLGLLLLLLLLLLLLLLLLLLLLLLGGLLLLLLLLLLLLLLLGLLLLLLLLLLLGLGLLLLLLGLLLLLGGGLGLLLLLLLL"

{23,65,141,133,50,5,31,48,1,133,170,46,50,154,133,76,11,77,138,137,145,151,5,82,65,9,61,67,63,6,147,71,54,132,57,2,124,95,158,19,77,94,107,151,171,165,66,170,180,78,81,36,166,15,45,37,154,157,64,140,117,97,92,112,180,145,103,0,124,143,73,65,60,175,125,50,95,81,39,101,85,75,164,141,168,92,57,3,106,170,159,176,175,170,167,136,49,97,51,57,82,108,168,96,163,79,40,11,38,136,112,17,137,17,57,91,110,10,36,139,9,34,124,171,130,77,30,155,13,108,136,72,59,178,93,88,73,86,35,121,46,47,67,101,125,112,114,82,82,144,6,128,76,179,81,19,134,46,72,139,157,132,90,158,174,26,96,67,34,53,87,67,43,163,16,175,132,58,33,169,43,129,161,0,85,120,48,183,104,150,4,58,21,116,176,140}

{175,175,114,5,153,98,80,105,28,28,132,3,156,152,112,124,60,155,152,76,19,39,4,117,89,102,151,10,150,53,6,18,46,91,87,100,27,130,174,167,43,0,50,137,107,57,130,107,181,99,27,181,1,173,100,141,95,59,177,114,140,147,173,160,152,154,26,111,96,148,144,4,77,37,121,38,32,120,136,26,126,101,70,134,61,107,33,93,152,2,99,37,83,141,97,66,143,127,6,117,64,26,97,7,15,141,159,27,34,174,68,109,66,15,70,38,2,82,18,84,174,178,44,180,9,147,33,82,36,57,127,33,158,9,125,105,175,12,54,148,121,172,72,59,100,113,98,5,104,160,92,1,17,26,98,93,100,122,77,61,84,13,149,132,119,108,108,26,17,128,103,182,76,78,126,95,86,71,34,7,162,111,91,6,60,100,62,116,21,31,146,151,0,173,137,165}

{660331360,604059040,75911958,310157320,28355664,365222264,10366440,3818115,299148850,314155985,44518071,101343168,20304,85697109,11553455,2006226,65733201,93197780,16164526,136989,40092732,158425784,331665224,35881209,301486952,447348,534591068,757884672,310311565,102157224,85613544,18906330,32664728,1,1197684,258149827,27222294,42673017,74667224,277551282,49606820,264503646,12951696,8237196,1,12654,25141062,1,686990621,106010190,29560773,722190430,76107850,97349910,232744148,732234482,31735071,85134288,264840092,344706180,16519698,512383374,43299228,328219,136809089,81,568577218,16331678,3469014,225302,79697123,382080907,140517420,365556320,66943406,19358736,48292266,3626508,11783736,16075086,302846634,1974078,32755008,34307602,1,71165436,420831,135218880,1,26243061,176584806,65258370,8,49052913,470781266,578646,117572070,582733494,10601016,504621,264779788,567599266,329929035,178371504,118363890,1,108649660,539109351,541092117,9286884,2932041,4527320,9486,17948280,1564992,120605955,1,460133037,24083930,4492620,558228,364805764,975192,184356690,524766,226776780,493989147,26203996,97556290,4763889,1637118,600636582,29344272,572748,196295655,59243170,74201440,95561235,47276904,2,2,66712360,392234752,3496848,145744573,867697,528924620,344656312,55973281,554091593,22486344,5839400,5691672,419887766,27525669,207248190,1,23430754,260603980,451932613,1152540,159176998,183120314,428811272,218774628,567599266,212870619,294689536,1,382385640,1,306029312,11405439,54658890,453711267,47802080,133117047,1,465549831,82007472,147117,87184578,43907820,2,1,1,12214755,1,16884726,25603480,104127061,190665992,25584042,73566073,147870,2692638}

Returns: "Solution does not exist"
108

"LLLLLLLGLLLLLLLLGLLLLLLLLLLLGLLLGLGLGLLGLLGLLLLLGLGLLGLLLLLGGGLLLLLGLLLLLLLLLLGLGLLGLLLLLLGLLLLGLLLLLLLLLLLLLLLLLLLLLLLLLLGLLLGGLLLLLLLLGLL"

{15,47,97,72,14,75,103,47,40,96,94,6,31,92,32,49,71,85,22,85,79,40,96,98,105,81,52,49,21,71,92,66,72,71,12,2,66,65,80,59,46,46,2,60,10,97,39,99,54,87,0,105,68,77,27,17,52,100,62,76,81,95,64,44,44,89,66,102,7,80,96,100,85,6,52,62,45,89,42,97,84,60,73,91,19,104,17,34,68,69,46,39,100,86,40,32,54,67,64,44,2,57,71,14,85,74,76,61,67,9,62,91,60,0,35,99,104,61,99,4,105,62,96,15,75,21,58,16,103,27,23,28,79,68,80,102,85,66,34}

{50,90,105,50,103,82,87,13,85,14,88,8,13,65,59,44,35,70,71,80,102,63,68,6,107,74,79,89,31,49,2,92,23,80,42,95,59,19,65,68,45,48,44,107,36,84,15,65,5,45,99,90,9,25,85,38,23,89,17,45,44,72,50,82,4,49,2,0,75,39,25,6,76,40,77,98,36,20,33,53,27,63,10,29,47,65,98,49,102,20,88,76,1,67,55,101,45,78,55,99,82,69,100,97,17,5,16,0,14,45,4,10,73,72,82,73,105,15,10,81,27,46,17,79,1,59,77,47,83,86,55,23,12,62,94,64,4,40,85}

{589606059,27731648,45784530,81990384,152378954,13026027,60139030,14,244654594,302564353,8603409,45725415,308063630,392644116,108075854,173173988,4,88258884,251123196,75332994,53014745,168060455,58873395,1568035,108023310,63616991,59125080,149318971,1,297694604,83600339,109012864,24,103785924,6,76309311,2,65528820,23739012,1,509899650,84676312,1,530094970,25521122,121301840,233246518,31442400,1,36978825,1,40987305,15516105,1,107791340,131212536,16177080,49236711,312227643,1,1,3,70197834,326756404,39946452,149318971,12074624,1,7995099,42265806,277856355,14869515,7453174,51057365,504868056,38932495,72970950,92529079,6,9413734,20,47241365,9693948,3,2054080,233917164,7074795,167428202,104360745,6554180,1,4181626,45650118,137138166,348711284,2,646153950,83142486,35274076,79965600,82066667,1652420,98162364,206361298,301286622,129797093,4166343,3513503,162072378,85596225,51654099,203808198,646594860,289977744,744128648,62541600,75861045,615400121,18823200,7283073,13219020,356236246,7,56785435,4678338,270231838,1,1,153779402,252074020,73047720,17316120,14905170,63686355,191815602,84053402,1,64214144,88546126}

Returns: "Solution exists"
177

"LLLLLLLLLLLLGLLGLLLLLLLGLLLLLLGLLLLLLLLLLLLLLLLLLLLGLLLLLLLLLLLLLLLLLG"

{167,133,5,90,130,131,124,79,99,36,26,85,14,152,82,157,149,142,75,84,148,126,127,72,139,48,68,92,140,150,136,48,109,9,74,171,37,145,27,46,37,59,43,40,56,126,149,11,24,4,119,166,26,139,121,29,34,23,175,156,125,162,130,144,87,72,43,114,120,131}

{25,73,62,84,143,156,151,17,153,65,58,113,6,127,72,92,171,71,14,28,141,50,63,158,175,77,155,22,132,49,23,71,91,1,163,142,28,20,135,60,55,87,72,98,85,22,2,146,89,105,118,32,32,175,75,159,133,90,19,106,58,23,81,174,57,33,99,94,63,37}

{547860360,371023350,384633179,174564,197245388,53278862,220430392,367629105,415722,74429292,368024,243839856,35,451906506,30876664,7,22726716,316120970,141293390,145518490,120350664,34008039,452224638,166,90035331,92957925,18493680,46867401,160313076,61219550,1,145103550,83708540,96694584,14009896,271037580,340253380,49495080,6568983,5759595,179798004,10836759,47757038,145155186,29259498,11585457,8253169,599899763,205539777,245088,22649040,1,1766104,90035331,36194806,141141084,402077950,361736892,76145910,208375160,2586371,807873671,298476720,46078852,7041545,12166472,4563678,67792747,387668637,2}

Returns: "Solution exists"
66

"GLLLGLLLGLGLLLGLGGGGGLGLLLLLLLGLLLLGGLLGGLLLG"

{60,55,22,49,48,58,17,2,21,26,59,44,65,0,50,13,5,12,23,51,63,27,55,59,35,38,31,25,1,41,57,1,25,64,56,53,42,25,13,24,22,32,60,5,55}

{38,10,43,60,59,56,27,46,13,21,8,29,41,42,3,51,25,43,13,36,34,61,40,65,19,58,34,16,59,63,31,26,5,4,47,61,60,49,62,25,20,28,33,1,3}

{2,7465992,480372974,383142290,1,19711820,11974690,208706508,1,469058358,1,171521800,23443440,13180167,1,6915942,1,2,2,2,2,387453596,3,13640679,86937811,7099880,75751702,343546210,1541124,11648560,1,61464468,505210414,118010634,1380828,1,1,583911239,4424706,1,1,541229,90040940,59789132,6}

Returns: "Solution exists"
175

"LLGLLLLLLLLGLGLGLLLLLLGLGLLLLLLLLGLLLLLLLLLGLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLGLLGLLLLGLLLLLLLLLLLLLLLLLGLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLGLLLLLLGLLGLLLLLLLGLLLLLLLLL"

{3,19,57,71,59,135,40,129,1,34,24,85,80,8,124,25,47,166,155,80,92,65,133,82,36,79,31,79,29,117,58,107,154,115,170,82,112,35,13,76,135,136,89,120,15,1,16,0,78,172,16,150,148,21,46,139,109,119,48,74,3,99,10,95,112,84,130,85,18,22,76,133,102,1,136,170,62,34,125,67,12,174,173,160,45,98,52,107,32,107,143,163,74,59,12,104,16,24,100,102,111,1,142,20,20,152,26,64,119,114,78,106,47,1,79,167,23,84,140,159,112,70,13,68,60,17,47,53,84,1,63,160,67,27,157,77,74,70,125,81,6,30,119,4,135,135,156,53,39,65,128,37,133,107,111,88,4,6,82,106,110,85,2,70,107,31,97,130,118,105,151,67,157,36,64,110,31,97,166,72}

{83,83,152,84,67,58,171,16,150,93,108,131,39,18,98,14,128,59,108,109,34,13,28,121,133,2,148,133,131,22,88,27,92,27,4,133,49,72,96,17,127,101,40,32,2,136,160,154,126,125,88,78,72,154,77,140,103,26,136,20,154,164,164,48,165,146,50,154,128,109,60,143,12,168,10,76,123,157,37,52,53,81,67,38,85,126,173,44,169,77,67,69,140,122,7,32,60,131,92,71,128,173,66,3,62,6,115,141,173,89,64,76,2,132,143,65,109,124,102,104,54,88,172,41,28,149,126,93,159,68,91,137,157,91,123,30,40,60,34,112,148,174,4,153,138,139,114,165,143,38,68,19,49,135,83,0,134,81,24,57,87,59,165,94,87,159,162,35,84,174,158,36,140,9,123,3,42,1,65,163}

{412209334,44894276,1,8271265,388435232,89202744,7244800,245017005,8697868,122657920,537045834,6,7876610,1,31522722,1,2023584,470889738,128489418,7192360,34821110,20892399,1,10295840,1,12024190,304762892,4185880,52211400,118534110,4793016,947115,96272185,65,134642391,3378208,530037858,10697346,55916661,350633712,9832797,9239501,17228800,1,351376495,6053884,162506145,329499983,541171761,254590194,12933015,33257822,9237159,216918643,29730910,669025650,208868552,10703055,5295129,229657992,295450321,5181372,9382950,63780150,390878564,32526440,7850895,215446002,171522384,110133768,79725360,31919640,13429606,32651104,10371575,4966896,195258770,257337710,250841762,26701920,258226778,31785816,593912864,246106620,65449374,570390018,39725910,29695698,84163028,17630910,244555680,12736005,2,562939650,3345676,1,38858235,495567150,25643670,13482005,2,220531348,30011432,548760921,407627598,380174901,141056240,658416,7629897,67859936,38392926,106150704,90684640,154599620,3929370,19032134,97562248,3928785,1,48959460,562686595,12026240,51523986,37105238,143504335,669333886,92376096,162791552,18144610,97963804,368765608,603762905,292138784,5763810,253202110,31894390,28748800,36133760,343009090,371031032,244664339,409302552,1731873,51412296,369400860,220737753,84339666,284951284,114574890,22383108,88290672,42556276,2,39501981,138465622,10462217,123807450,316204184,139942816,1,66127452,215195538,1,54186880,64636956,82811036,206225580,227226890,27659595,92997192,1,529376160,254856350,163200585,23436930,213339046,5652220,93829956,3887829,594135}

Returns: "Solution exists"
191

"LLLLLLLGLGGLLGLLGLLGLLLLLLLLLGLGLLLGLLLLLGGGLLLGLLLGLLLLLLGLLLLGGGLLGGL"

{77,155,46,130,3,107,91,25,79,120,110,134,73,65,123,161,128,166,11,15,48,21,161,190,38,51,66,175,126,37,83,102,127,137,98,80,71,57,42,26,28,150,38,74,37,115,190,135,40,84,171,129,42,145,10,163,77,171,156,161,97,8,20,8,66,88,87,96,19,80,92}

{144,33,169,63,190,135,32,44,36,181,186,68,46,58,94,86,107,4,4,163,89,103,30,38,80,136,62,23,11,125,96,85,42,133,60,95,49,18,99,18,1,50,158,25,80,86,121,154,57,109,34,189,141,57,113,86,40,115,137,133,119,148,119,148,94,158,162,167,16,158,112}

{15537284,51682177,54348264,17651598,605280,534939840,206544960,1,70224100,2,1,2777775,21564744,2,150632850,196516936,40,9658254,3613236,12,16003862,24726040,104887880,3113760,31092690,518125356,13150374,481482528,15861956,1,137968540,71,1822144,298194450,2651640,1,71967987,332465781,221376,5143997,37807480,2,3,1,69699966,109030152,7344480,1,437350911,20609472,108528,1,112960,8264145,215487690,81450600,29615398,1312368,25,89154698,1743688,49599328,179403944,4,3,8,71036927,312007170,1,6,73112690}

Returns: "Solution exists"
119

"GLLLLLLGLLGLLGGGLLLLLLGGGLGLLGLLLLLLGLLLGLLGLLLLLLLGLGLLLLGLLLGLGLLLGLLLLGLGLLLLGLLLLLLLLLLLLGLGGLGLGLGLGGLLLLLGGGLLLLGLLLLLLGLGLGLLLLGLLLLLLLLGGLLLGLGL"

{104,68,112,64,63,105,39,54,26,99,9,100,80,63,9,105,11,75,82,39,79,63,48,103,21,81,10,84,113,55,76,104,12,18,100,115,0,56,51,27,113,102,54,46,83,40,8,65,114,50,12,94,24,25,98,28,22,96,70,27,28,114,22,90,17,13,38,84,19,106,116,37,92,63,13,118,67,31,116,98,56,0,81,21,10,53,98,102,9,57,19,5,91,0,98,64,84,92,30,80,113,118,19,99,56,25,104,84,60,51,115,38,99,46,40,78,111,35,59,41,41,83,117,29,49,40,27,34,102,56,29,100,4,2,45,61,34,84,67,13,4,57,62,64,21,23,85,54,116,55,56,91}

{110,48,18,92,70,88,2,77,81,37,12,14,118,91,41,73,83,3,41,75,112,22,108,100,69,58,79,104,73,28,67,82,19,59,28,114,91,90,12,112,9,21,94,41,73,48,118,21,55,79,1,79,72,5,58,49,53,116,28,107,69,99,8,111,83,49,68,40,88,104,110,117,117,48,101,0,29,48,110,105,32,91,58,4,37,96,108,54,103,55,3,44,85,68,111,45,19,78,99,68,10,83,106,106,93,72,48,41,88,111,116,5,49,30,28,25,8,13,0,47,55,71,42,54,75,96,85,13,13,94,1,89,55,0,14,15,40,7,117,103,16,97,85,97,35,28,15,60,74,107,96,55}

{2,315803472,274584252,461888938,50965296,567260100,215556,2,12836640,188608527,2,5153967,48725742,16,1,1,74055350,87920154,288283814,260958,100126884,345807600,6,13,2,452079840,4,181172446,11270913,3269,98266272,155560054,314489120,381222964,11856663,44384977,16,8638764,50116448,208803432,1,912268,26311740,1,19483455,327208494,158586558,5210604,18783674,27963364,626897062,52,29633516,2,80236156,101482836,170654900,6415178,3,207352936,27793038,281533889,1,1899711,1,243912708,135686576,126170233,55,188632366,9308530,249156189,432754693,6,127259829,2,57920096,203408454,9308530,20856836,3,1544752,452079840,872340,202202784,7061132,996996,425440596,5916924,54808054,695550240,73111698,310896080,16,1117116,1,1,395523702,1,138472176,1,127573030,1,127432897,6,2,234925314,23982049,31009275,14632992,13085303,1,1,2,141524817,97068186,16551117,314837847,1,123078410,17933734,64450280,544711315,56700354,58704204,1,597536360,27,693647388,4,116957962,5306301,13141380,4910928,1,111476328,202611240,78013789,546209248,28803762,3517500,171759287,20327415,1,1,56870793,418254360,823326150,1,8545166,2,38548048}

Returns: "Solution exists"
177

"GGGGGGGGLLGLGGGGGGLGGGGGGLGLGGGGGGGGGLLGGGGGGGGGLGGGGLLGGGGGGGGLGGGGGGGLLLGGLGGGLGLGLLGLGGGGLLLGGGLLGGLLGGGLGGLGGLGGLGLGGGGGGLGLLLLGGGLGGLGLLGG"

{71,78,29,101,126,60,22,7,15,138,72,2,100,67,148,45,42,45,29,21,67,120,86,156,161,27,71,6,95,122,12,16,27,29,166,69,106,91,43,17,20,109,34,130,165,65,40,111,151,70,82,142,126,96,28,142,25,103,1,81,13,48,160,85,175,115,102,115,113,149,148,8,139,119,90,83,173,157,3,82,103,86,151,77,92,22,140,162,2,151,124,10,31,144,39,1,38,25,59,47,48,33,173,43,57,5,152,49,42,22,14,149,30,11,136,96,5,8,42,133,66,139,104,140,150,149,172,112,157,39,170,64,137,163,122,70,83,154,62,4,14,33,143}

{70,1,60,27,72,159,38,5,26,113,67,118,67,34,163,140,89,150,164,6,115,45,119,105,17,157,63,42,64,77,146,176,49,77,98,65,176,174,98,55,122,73,154,171,6,42,12,106,175,15,22,69,6,7,110,72,70,1,83,42,149,169,1,116,63,120,137,48,52,175,126,169,138,47,163,116,19,56,101,66,158,11,170,175,174,6,82,142,142,165,10,44,114,13,40,18,168,41,168,163,105,102,28,135,127,6,91,69,82,58,35,172,147,2,121,19,49,41,149,4,122,52,174,16,77,100,173,146,122,13,48,143,76,117,100,55,132,19,120,95,39,123,139}

{1,1,1,2,1,1,1,1,11616870,108586180,1,4994380,1,1,1,1,1,1,101957060,1,2,1,1,20,1,243975490,73,683107029,1,1,1,1,1,1,1,3,177,772086,125730696,3,1,2,1,1,1,3,1,4,20220871,1,8,1,1,58469736,79052946,1,1,1,1,11,1,3,7,598600205,1,3,1,15,86,1,1,157831254,554885155,39876480,1,1,7102407,1,2,1,379350397,1,128069942,1,2540202,417554504,4,464865128,1,1,1,2,475936893,57047573,30490276,3,1,1,12670077,241231032,5,1,8061123,248196312,1,1,2,146447205,1,4,312408304,1,1,258550805,2,13,33477125,2,43685829,2,1,1,3,1,1,25665127,1,157008576,215994955,347377844,60914490,1,1,1,163928815,7,1,127728913,1,327454750,50646544,1,1}

Returns: "Solution exists"
15

"GGGLGGGGGGGGGGGGGLGGGGGLGGGGGLGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG"

{4,6,12,5,3,14,8,13,8,3,6,7,1,7,9,11,2,8,0,2,7,4,14,0,10,4,0,8,9,9,7,6,8,7,14,5,6,13,3,14,4,4,13,2,9,1,6,0,6,6,4,11,11,2,9,10,14,1,8,11,3}

{3,11,1,8,2,7,6,7,7,10,10,14,10,2,7,5,8,5,5,12,11,6,8,1,7,2,9,5,14,3,1,5,9,3,10,1,3,4,7,8,0,10,9,6,10,2,2,3,1,12,6,5,14,9,11,14,6,6,12,0,7}

{1,2,1,7076382,2,1,1,1,1,46,2,1,138,1,1,6,1,7076382,2,1,1,1,1,114116340,1,1,2,1,2,64755672,1,2,1,1,46,6,4,1,1,1,1,1,3,2,6,2,2,2,4,1,1,6,2,2,6,46,2,4,1,2,1}

Returns: "Solution exists"
71

"LLGGGGGLGGLLLGGGLGGLLLGGGGLLGLGGLGGGGLGGLGGGLLLGGGGGLLGGLLGGGGLGGGGGGGLGGGLLGLGGLLLGGLLLLLLLLGGLGGGLLGLGLGLGGGGL"

{33,28,47,22,43,14,46,58,53,68,44,60,69,62,19,37,33,18,70,69,70,33,53,17,20,29,67,10,15,37,14,63,22,58,47,20,39,34,70,30,30,65,67,33,24,68,34,39,3,70,46,52,42,27,53,45,54,44,7,29,34,46,26,23,22,39,5,25,1,37,59,17,43,22,11,31,55,7,32,69,34,56,31,36,68,43,52,31,24,32,15,27,18,16,40,1,54,59,51,49,13,24,55,42,24,21,61,59,65,38,15,41}

{61,48,69,57,13,70,66,37,42,3,27,44,68,46,64,40,35,47,63,48,37,53,48,40,5,37,62,44,26,29,56,47,0,28,0,40,27,10,53,39,37,63,70,66,62,51,39,38,2,0,34,60,17,30,54,58,7,19,10,34,8,36,14,9,67,49,70,38,34,67,36,15,27,45,46,2,10,8,42,52,59,12,25,24,42,53,16,70,52,26,17,30,27,22,14,70,52,39,3,4,35,66,50,40,3,60,38,36,69,9,42,32}

{34584001,422427524,1,1,2,1,1,13424433,2,1,90423828,81394749,17734893,1,7,1,546826186,1,1,347294156,1089211,8966954,2,1,4,1,45313267,22945554,1,3963268,1,1,408589258,1,1,1,1,37200504,1,1,9230521,1,1,1,121676947,441089616,16017672,3,10,1,3,1,614413098,450672772,1,1,20950110,61733133,6,4,2,1,20585302,4,1,1,1,1,2,1,541777590,1,4,1,89062092,27017270,1,16062030,1,1,55000440,17497845,218453926,1,3,3861724,80334490,27403231,326365823,35052010,140461791,450672772,135751968,1,1,34076450,1,51,8,336142378,206952850,1,36547180,9,459476920,1,27919695,1,1,1,3,60278540}

Returns: "Solution exists"
169

"LLGGGLLGGLGGLGLLGGLGGLLGGLGLLGGLGLLGGLLLLGLGGGLGGLLGLLGGLLGLGGLGLLGLLLLLGLLGLGLLLGLLGLGGGLGGLGGGGLGLLGLLGLGLLGGLGGLLLLGGLLGGLGGGLGLGLLLLGLLGGGGLLLLLGGLLG"

{95,153,48,40,10,134,43,86,145,150,27,116,117,154,90,101,108,20,19,97,109,30,65,97,85,85,141,168,9,164,105,64,59,167,153,144,49,9,14,160,40,119,165,17,167,128,165,18,65,110,69,10,103,68,88,7,117,133,92,60,160,102,33,162,41,44,49,100,18,62,146,64,159,53,33,15,55,134,25,87,157,116,65,154,30,127,98,133,106,8,2,150,163,4,92,1,95,91,165,70,86,137,11,158,24,113,147,9,26,134,164,160,87,110,8,50,0,37,56,2,55,134,155,44,9,35,103,131,114,161,127,154,62,88,110,58,143,160,88,141,153,101,124,93,87,14,9,23,47,166,142,11,94}

{27,3,166,56,162,137,120,18,165,86,106,166,6,49,35,44,23,98,15,8,94,111,153,142,106,165,69,6,92,160,35,40,40,159,104,55,4,120,28,144,23,55,53,126,143,20,19,93,128,36,157,16,21,18,17,47,15,136,18,113,131,65,57,15,153,90,149,61,85,43,128,139,54,109,14,32,22,76,143,60,62,55,114,73,41,13,40,49,60,75,104,125,104,10,73,141,48,97,18,167,105,144,51,119,105,18,102,87,108,25,73,158,97,164,108,109,155,94,89,80,108,167,91,146,128,155,127,79,41,49,46,158,34,123,90,91,97,156,12,53,140,25,80,153,86,128,166,123,109,152,69,35,0}

{21059401,841008,1,2,1,185004858,269159608,8,2,223250664,1,4,108841845,2,771660481,49861620,4,2,78678838,1,1,382833701,72551958,2,1,630589624,11,96470976,197246808,11,1,25519048,2,20446547,38243337,1,4,242613243,11713023,5251125,19902212,2,150320632,1,1,2,223129144,1,2,83281770,55589644,1,360873220,32806072,1,1,142082185,170838697,8,213821716,1,2,16566288,1,15618720,448406892,1,69519372,172736968,268058488,39301158,220163912,1,139529434,909936,1,617696,3,12686492,493814780,360955828,4,103992106,139488188,1,784992,2,1,1,462468338,1,1,44212333,1,4,11,1,26982330,8,7879828,379602408,1,23107490,33863902,1,97335608,4,243870435,4628200,2,1,464162875,5,1,48572008,308251288,116303893,311733877,4,3,2018656,15977874,1,3,19072926,1,4,1,22387040,1,17173920,1,371151165,159801557,204001870,47986796,2,736228625,414566493,11,1,2,1,53922129,607862760,1847106,330840,150269284,2,10,122921678,619166902,1}

Returns: "Solution exists"
98

"LLLLLGLGLLLLLLGGLLLGLLLLLLLLGLLGGGGLGLLGLLLGGLLLLGLLLLGLLLGLLLGLGLLGGLGLGGLLLLLLLGGLLGLLLLLLGLLLGGLGGLGLLLLLGLLGLGLLLLGGGLGGGLGLLGGGLLLGGGLLLLLLLLLGGLGLGLLGLLLLGLLLLLLGLGGLLLGLGLLGGLGLLLLLLGLLGLLL"

{11,56,35,31,85,78,62,6,21,54,70,18,83,3,91,9,77,52,9,71,46,86,78,53,89,20,30,41,61,91,33,34,73,68,53,86,18,18,36,82,83,45,58,7,32,18,15,39,76,10,30,17,64,73,40,16,86,1,38,77,58,52,83,16,78,16,50,4,66,1,43,39,89,34,35,9,51,94,43,22,39,7,5,90,13,67,6,46,95,32,81,31,72,79,21,81,11,65,90,5,26,25,36,53,45,88,44,16,35,33,48,28,55,32,44,64,72,17,37,12,16,15,82,20,4,37,34,94,57,13,63,24,38,33,10,69,49,82,55,70,39,31,96,47,33,73,3,78,50,76,97,3,5,91,25,80,59,9,81,53,27,96,40,55,62,26,13,62,65,68,76,63,77,22,0,65,6,54,49,76,89,32,65,80,73,18,80,14,21,6,93,22,77,2,82,55}

{50,59,63,59,43,33,29,7,3,22,14,90,71,42,25,2,13,14,15,83,89,13,39,37,61,3,82,82,70,92,2,15,67,36,23,65,34,84,9,40,23,28,47,97,14,44,4,43,0,91,59,73,24,1,87,21,42,22,18,61,79,97,63,95,52,33,77,64,3,29,51,16,79,16,63,93,23,8,78,33,88,67,3,16,55,56,7,88,26,47,58,27,10,18,71,21,72,74,23,40,4,44,80,77,33,97,69,33,12,47,31,40,80,79,8,28,39,62,39,30,43,94,81,34,2,42,15,8,16,63,46,2,68,80,85,43,55,94,28,40,1,58,64,48,0,55,26,87,28,2,91,2,61,4,47,61,17,36,3,28,19,25,73,29,44,51,82,39,52,2,54,77,14,81,24,79,30,42,90,9,70,52,56,29,47,69,24,30,87,77,53,69,25,10,77,19}

{59343957,38780143,464646983,57335893,35154318,1,38120868,2,342355156,116741275,214901806,447653885,766592,55927080,13,1,441847140,25229988,570670506,4,21680316,145429158,4803612,735899214,10746180,454723588,34039512,162874488,1,2587299,101785082,2,87,4,1,63060354,1,64732080,308919588,3,14605952,65092075,543678933,1,2,661264660,9046296,10978908,365856870,3,52747812,63615966,324924022,2864562,1,346525153,36320760,18024258,35,5559820,653252005,57974076,1,11907261,1,606988354,185884020,2,1,2503386,1,39300468,1,1,464646983,633468198,39339616,160856550,48187227,118912514,3850500,1,4,381574577,87679695,1,2176254,11275250,4049424,134981736,455473578,269055300,1,137377555,7221604,300719094,1,2,37877729,1,24,132434848,2,566488580,76261850,49595375,295873380,606988354,1,628761462,351002453,1,77582330,1,105901100,593974142,13613556,20698404,6,1,1,53329374,6,1,2,47783880,2,160856550,590873427,1,1,2,1223880,36969506,50216310,3,1,3,100205965,301279341,183012,504718543,330891862,378097143,541109310,118978590,118539696,1,1,68819314,1,77933636,20,35428536,457967328,2,6166007,308919588,201658908,640099939,3,38749984,269240466,51988635,59954316,25270176,148313496,12,2501388,2,1,431403980,30674140,559822746,1,489311370,18,57367800,169983566,1,1,3730968,1,229196142,212403018,115876530,241661098,194892516,422096363,2,723358218,677248110,28,188869410,112507080,12824115}

Returns: "Solution exists"
82

"LGLGGLGLLGGGGGGGGLGLGLLGLGGGGGGLLLGLGGGLGGGLGLGLGLGGLLGGGGLGGGGLGLGGGLGGGGLGLGGGGLGGGGGGGGGGGLGGGGGGLGLGGGGGLGGLGGGLGGGGGLGGGGGGGLGGGGGGGGGLGGGGGGGLGLGGLGLGGGGLGLLLGGGLLGGGGGGLGGLGGGGLLGGGGGGLGGLGGG"

{8,38,57,20,77,24,55,40,77,2,10,15,75,2,12,4,19,39,36,27,8,3,32,4,66,9,68,33,72,28,49,69,36,60,32,71,5,12,58,51,81,64,47,33,11,79,45,19,3,47,68,78,50,80,10,12,29,22,13,18,26,19,19,72,4,35,15,55,66,60,24,50,42,37,40,63,22,23,21,37,40,4,49,78,63,9,71,56,72,18,58,42,49,20,15,19,30,46,71,48,30,30,72,33,26,31,46,79,24,11,4,76,36,60,34,10,7,42,38,80,1,27,72,36,61,70,16,3,26,31,2,56,36,19,5,23,25,33,54,19,47,56,41,14,5,23,46,67,19,6,42,23,58,70,53,45,80,11,53,1,58,65,17,47,51,60,70,74,3,79,53,17,24,46,46,39,1,52,8,58,60,24,34,19,48,51,70,66,9,41,10,3,32,68,21,12,34,77}

{24,66,34,74,49,17,54,59,1,65,79,1,45,19,50,16,13,13,48,34,14,9,40,73,68,69,34,7,21,78,54,81,18,58,37,21,76,61,19,15,55,67,26,78,53,0,2,29,49,3,55,59,53,56,4,61,12,67,34,76,40,31,73,48,20,31,59,54,69,44,22,79,70,10,68,1,45,63,36,58,44,58,1,10,42,57,43,64,28,56,25,11,69,51,49,72,79,9,10,67,35,24,62,72,19,26,58,63,71,67,66,50,33,31,53,42,34,26,26,79,49,16,19,69,56,69,65,24,27,5,53,17,76,68,79,62,53,22,52,78,45,26,65,63,69,60,71,66,45,32,27,45,32,12,14,17,12,67,23,67,50,21,5,76,54,16,31,14,71,43,27,41,72,76,0,20,80,47,64,37,69,53,71,5,63,70,39,38,19,55,49,19,7,24,32,17,37,2}

{29550552,3,4281294,1,1,13651800,1,133927238,8848052,1,21,1,1,3,1,2,15,12727515,1,9369874,3,9696414,36419726,1,7391976,1,2,1,3,1,1,235718,297511152,447161851,2,572700,1,5,1,139835722,1,2,5,217924377,9,94185,1,779852730,2,146613230,1,1,40029345,562397,2,5,1,2,5796390,4,1,1,5,10933716,1,147594029,1,1,1,624098256,12,3,1,6,65928,1,152125248,1,3,1,2,30480838,4,3,1,3,4,1,1,1,1,1,2,10647850,1,3,1,3,4,2,3824546,2,20281461,1,15,1,1,1,5147400,1,1,45313572,1,1,1,23631636,2,1,3,1,4,13141334,3,1,1,1,2,2,1,565550439,3,1,1,3,3,1,1,11,9,218302185,1,1,2,1,1,1,5,384741318,1,128881018,1,1,229350142,1,5177790,1,1,1,1,65895076,1,19984740,42488025,74086780,1,1,1,123930918,5835100,3,1,1,3,1,3,29613525,1,1,59833926,1,1,3,2,257574945,304339228,1,3,3,3,1,4,3272730,2,24,16506210,5,2,1}

Returns: "Solution exists"
174

"GLGGGLGLLLGLLGGLLLGLGGLLLLLLLGGLGLGGGLLGLGGGLGGLGGGLGGLLGGGLGLGGGGLGLGGGLLLLGLLGLLLLGGLGGLGGGGGLLLLLLGGLGLGLGLGLGLGLGLGGGGGGLGLLGLGLGLGLLLGGLG"

{98,1,89,163,141,167,107,8,140,35,93,37,136,67,31,28,112,50,91,90,47,47,54,152,65,66,6,107,134,20,22,86,151,163,0,134,151,37,13,103,2,100,11,75,83,156,95,116,33,166,144,30,113,131,133,38,168,101,123,165,55,84,40,75,8,154,45,147,18,51,86,133,38,160,125,25,146,21,103,61,128,86,75,136,16,21,48,57,130,48,16,137,137,55,34,54,123,9,119,105,140,143,96,145,95,42,68,147,6,47,67,43,95,151,105,11,67,14,98,94,99,84,0,168,101,3,45,56,108,171,40,145,101,30,161,135,51,89,17,44,83,100}

{90,29,113,74,100,148,135,33,110,129,123,158,110,40,67,115,160,11,141,49,10,118,6,166,101,39,62,120,54,113,170,25,14,111,74,77,113,28,128,119,154,46,148,40,125,36,96,101,70,119,80,45,22,93,130,120,30,85,29,19,153,70,104,168,82,59,3,140,47,77,169,147,46,112,36,18,65,56,159,35,150,120,34,160,128,160,19,146,103,130,78,12,40,122,83,47,46,44,63,79,91,11,74,86,103,60,125,154,5,73,37,106,56,149,61,51,129,113,157,117,31,30,118,126,63,96,146,5,63,118,86,100,18,75,117,109,42,70,99,119,112,48}

{1,13602798,1,1,1,282557636,22,38764446,52049169,84136008,1,134226046,33940350,2,1,1222178,559251295,65041983,1,40949767,4,1,39376476,139012599,8092596,144314403,32360256,156310,50481742,1,2,31979744,3,492912266,1,1,1,14173454,16031442,1,17500412,1,1,2,25781760,4,4,123269190,1,3,1,41124401,1,1,47896110,23369766,1,2,1,612965046,2,747341439,2,1,3,17,40027709,1,17943056,1,1,1,32053254,559251295,47655972,29152,1,13479885,68246047,12,12003054,3117674,120342,42502550,2,1,398477472,1,1,195812640,1,2,2,6,2,117722992,6835143,332584752,537539028,53995690,38302978,1,1,38177794,1,64008320,1,28897042,1,82821680,1,171526614,1,1128552,5,2298723,1,316654845,34,3,1,1,1,3,143530764,1,34547347,68495895,4,156769749,2,498869269,2,34354406,2,375908676,13012608,227218473,1,1,10442240,1}

Returns: "Solution exists"
109

"LLLLGL"

{51,27,69,72,32,42}

{31,36,29,88,21,81}

{179910720,1,72397087,469850644,479487528,8380664}

Returns: "Solution exists"
22

"GGLLGGGGGGGGLLGGLLGGGGGGGGGGGGLGGLGGGGGGGGGGLGGGGGLGGLGGGGLLGGGGGLGGGLGGGGGGGLGGLLGGGLGGGGLGGGGLGGGGLGLGGGGLGLGGGGLLGGGGGLLGGGGGGLLLL"

{2,10,1,3,3,13,12,8,19,7,13,9,15,4,18,1,4,13,7,11,3,6,16,21,15,17,10,21,6,9,17,18,9,11,6,3,8,16,7,7,10,19,18,5,21,0,15,15,10,2,4,4,11,20,11,7,14,14,14,19,5,3,21,7,2,14,17,16,13,14,11,14,6,1,5,1,4,7,19,10,14,5,9,11,15,16,2,8,10,0,14,7,2,6,14,9,19,20,16,19,8,10,18,2,7,5,12,6,19,16,9,6,12,1,3,1,21,15,4,10,9,8,19,9,8,18,2,12,10,13,12,15,12}

{12,7,21,15,2,1,2,21,3,8,14,13,9,13,5,3,2,3,20,18,10,1,19,2,13,12,8,18,10,6,19,8,18,9,11,8,13,2,9,17,0,8,16,15,15,5,10,7,5,1,0,16,15,19,16,15,4,21,1,9,19,19,6,17,11,9,21,12,20,6,5,2,17,5,7,13,10,1,4,7,11,14,0,16,6,10,11,4,1,3,13,19,10,8,18,5,16,2,12,21,15,3,12,4,2,16,6,11,4,1,17,12,20,21,21,2,7,9,12,18,15,15,15,11,16,19,21,20,0,12,2,3,10}

{1,1,102959155,98395726,1,1,1,5,1,2,1,8,37035440,31532696,1,1,170245699,742260376,1,1,1,1,1,1,26,1,5,1,7,2,107300067,1,1,169995920,1,11,2,1,2,1,5,1,1,1,1181570,1,1,2,1,1,336998675,1,1,14263025,1,2,1,1,69565593,73210480,1,1,1,1,1,51222480,1,1,1,55996458,1,1,1,1,1,1,1,47104138,1,1,23818989,45620691,5,1,2,237716955,1,1,1,1,78291096,1,1,2,1,325594480,1,1,1,1,51349870,1,257109434,1,1,1,2,185839682,1,382571811,1,2,1,1,100707035,315161479,1,2,1,1,2,51349870,14833546,1,1,1,1,1,5,148370248,123239098,98395726,163834790}

Returns: "Solution exists"
62

"LLGLLLLLLLLLLLLLGGLLGLGGLLLLLLGLLGLLLLLLLLLLLLGLLLLLLGLLLLLGLLLLLGLLGLL"

{48,52,61,33,32,57,32,27,26,47,22,30,41,48,5,26,12,32,22,15,23,16,10,57,5,44,24,14,35,33,41,32,19,39,2,19,12,55,48,28,18,24,0,30,18,35,10,26,2,58,37,2,34,47,37,55,30,18,24,34,58,48,13,19,44,7,59,13,50,26,54}

{6,59,56,42,46,15,36,59,21,0,52,61,61,18,21,24,50,39,23,14,54,49,51,23,1,17,41,6,45,60,2,43,39,25,12,52,25,47,57,46,46,38,53,23,51,10,57,42,41,28,7,3,37,38,23,60,37,52,32,31,59,26,48,25,33,37,57,60,58,50,51}

{229497450,220976184,2,2658260,109599270,323423142,58096040,553964606,414623380,14083053,109860168,41583836,6565684,67732539,220262340,390425077,1,1,108009290,47967059,1,47629324,8,1,15602550,2752776,407565956,1649050,809775,87364024,1,264629445,520664232,1,10539736,5536344,4520,258528813,46819122,486221010,182385390,337694392,56036703,205906295,172305112,11752800,6,12321220,174372004,199656289,100561644,98495232,234510288,1,96766655,373056536,263545849,145908312,675416035,16,226847894,117638997,117409089,137720,62564931,1,213705258,404146936,1,329306095,64982568}

Returns: "Solution exists"
162

"LLLLLLLGLLLLLLGGGGGLGLGLL"

{81,28,145,85,75,70,160,28,149,148,158,42,89,38,92,149,155,104,152,151,31,142,144,83,84}

{69,65,136,39,147,67,33,119,107,49,104,50,7,115,0,7,129,156,136,145,6,81,159,160,28}

{22852573,283263084,105776920,6062670,172836885,536774099,128728200,1,35522670,82614626,9807450,299763200,426722916,50069712,1,3,1,5,2,1136655,1,66459375,1,200016584,145181673}

Returns: "Solution exists"
62

"LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLGLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL"

{45,47,19,11,41,55,58,43,39,44,19,46,27,54,48,21,12,18,42,29,57,44,51,46,25,51,40,30,52,22,35,39,28,61,52,3,28,30,28,48,4,28,10,34,27,21,38,23,20,21,37,41,3,25,6,5,33,7,36,57,36,41,37,20,24,12,48,3,46,6,33,36,28,4,1,0,25,42,13,53,28,6,28,17,56,34,47,15,6,13,29,4,43,23,37,31,7,53,4,46,50,57,1,22,58,52,53,60,5,19,25,19,25,42,7,25,13,19,59,57,23,23,28,16,44,29,15,5,15,39,19,11,16,1,31,28,39,6,54,24,51,37,36,40,46}

{13,37,8,40,5,5,7,7,25,6,47,24,36,10,22,32,15,26,5,17,48,46,41,26,47,3,51,14,22,3,20,18,60,15,4,61,23,8,56,49,50,51,6,28,0,31,58,35,50,30,5,28,61,59,47,17,44,52,31,61,43,52,29,58,25,51,52,8,37,45,35,56,61,49,52,15,29,2,5,43,6,60,54,10,20,46,56,4,8,41,2,16,3,2,52,54,21,47,33,31,54,16,23,52,7,35,24,25,28,28,26,57,19,56,8,51,32,42,52,46,20,11,29,46,11,0,27,57,21,60,7,12,39,27,37,0,56,41,10,46,22,33,27,58,18}

{8852188,679541,343665322,424553818,30213605,29704730,21840084,636829116,8194820,384713564,23646337,2252160,354610662,5604828,124161664,38069176,15429285,9641775,70910035,161785260,133355959,11249024,85359557,31574400,34827985,12440681,374293894,798769436,285231744,13540736,11006178,42127140,51328130,21630630,464814,9949170,385516922,468880118,561041026,48095982,5331914,495672002,76217788,732427850,12954622,70236552,81131652,37540862,195847026,274346456,3819955,115145674,9949170,478242770,30381397,203468580,70581512,56420217,41146959,343529970,132550572,60876963,3037385,7710444,8829630,41922603,81356121,11384758,1657472,270739276,23256248,391392183,28314510,961758,114904755,4649245,31134545,311188976,11168110,3196380,650871718,349751045,47863158,22700916,189675174,83388800,26188279,98770,441549682,7329638,160641520,3443860,1300596,443930384,7696773,8444262,296516696,11550990,2198168,20145792,82935906,648516460,250620290,285231744,21840084,34423578,30,80188045,175446530,506584078,61893975,439014719,565298305,226755347,72395834,19073155,12210028,204745541,226583154,65972096,130334478,38137222,139503910,21299840,332320012,3555305,138687190,152045065,72412520,3946180,565964399,47551941,2054740,165225490,3852609,17040422,30809740,112086463,5604828,2252160,399942016,10399736,354610662,51665796,87339648}

Returns: "Solution exists"
25

"LLLLLGGLGLLG"

{22,10,19,10,9,1,23,3,4,9,24,5}

{5,20,12,21,19,13,3,11,16,11,6,16}

{154570402,380573890,14312320,580883695,2833280,4,1,129922570,1,67798340,59730,1}

Returns: "Solution exists"
112

"LLGGGGGGLGGGGGGGGLGLGGLGGGGLGLGGGGGLGGLGGLGLLLGGGLGGLGGLLLGGGGGGGLGGLGGGLGGLLLGGLGGLGGGGGGGGGGGGGGGG"

{87,42,94,74,64,22,72,15,111,66,60,35,50,87,1,56,34,100,39,73,55,79,108,3,81,96,47,82,4,27,41,45,4,110,89,52,34,108,63,56,86,88,59,43,14,53,23,9,6,29,67,21,72,95,32,56,54,30,80,87,38,71,76,101,110,2,101,40,16,45,47,31,24,100,43,20,36,84,85,61,35,50,30,8,66,70,107,55,3,13,109,10,94,47,18,28,29,94,44,35}

{55,83,96,78,85,20,53,41,62,104,100,20,96,10,6,87,74,70,19,20,54,77,73,51,83,39,78,1,87,104,24,86,84,7,105,54,106,11,0,92,29,87,109,98,71,103,20,99,33,44,85,69,29,21,75,2,39,15,3,38,44,94,47,78,10,28,91,79,106,66,62,100,43,6,4,77,0,20,11,85,76,95,76,18,92,10,28,3,5,66,19,5,31,63,43,86,1,60,48,3}

{673812816,447452202,1,3,2,1,6,31,177674888,1,5,1,4,1,4,1,1,589900380,1,160408650,3,1,2287866,1,2,1,59,462859860,1,393878417,3,1,1,1,2,241910412,1,3,36523896,5,1,54435088,2,189820442,240752622,192583080,1,2,1,25274298,4,1,136540158,1,27,1656335,244996332,532506902,2,1,1,1,1,1,1,207590179,1,1,10678536,2,1,4,182186760,20,1,77341550,76113948,6415600,1,1,105648588,12,1,175424700,17,1,1,1,1,2,2,1,3,2,1,1,2,3,2,4}

Returns: "Solution exists"
184

"LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLGLLLLLLLLLLLLLLGLLLLLLLLLLLLLLLLLLLLLGGLLGLLLLLLLLGL"

{157,65,56,156,94,21,74,56,71,46,76,63,115,179,158,170,39,128,120,10,37,17,182,55,107,58,22,40,131,58,31,76,12,153,132,88,153,118,81,81,25,174,85,35,159,153,122,34,83,14,98,16,17,162,10,120,76,35,103,22,27,4,107,56,30,10,57,97,79,150,140,12,82,107,10,154,134,147,95,148,106,159,137,92}

{102,170,163,123,0,23,150,57,26,171,19,121,52,182,51,36,152,13,43,66,6,56,88,73,63,133,2,46,153,155,78,19,34,74,122,106,31,129,68,73,125,64,148,7,1,64,43,109,45,111,178,177,20,121,15,40,108,43,34,46,12,7,79,10,132,145,111,43,174,176,95,47,0,22,32,151,173,164,150,90,85,120,134,30}

{848996057,213670782,61836302,73109109,59853498,42499985,77487774,98108714,153232276,159577652,793247,12321320,137633552,10909402,84952774,396890897,19423950,211263194,147986644,180381630,93471609,172518786,375483206,246031739,4767340,142401213,4022312,174902260,34120152,59198499,246962874,793247,1,110292504,502453237,234883092,85940808,360520236,29369096,72422473,4118454,146006400,15649036,204635574,294782518,25848600,107532021,1,32272605,79816815,334410727,217824510,3273444,13908840,143514030,388907845,2975648,64174396,335897018,12875044,29794484,207439830,17373220,4746390,43614857,98821470,3357870,117143988,361601920,2,1,163515746,34688163,4,15593490,32033202,296543238,9155214,36353226,85212693,54778692,539080741,1,15254967}

Returns: "Solution does not exist"
83

"GLGGGGGLLGGGLGLGLLGGLGGGGLGGGGGGGGGLLGLLLGLGGLLLLGLLLGGLLGGGLLGLGGLGGGGLLLLLGLGGGGLLLGLLLGLLLLGLLLLGLLGLGLLLGLGGLGLGLLLLGGLGLGGLLGGLLGGLGGGLLLLGGGGLGGGGGGG"

{81,27,49,31,32,82,46,11,43,45,22,63,40,12,60,64,2,55,40,46,9,81,35,20,22,23,68,42,49,9,15,19,13,17,25,33,55,82,54,82,1,49,81,79,68,17,57,31,33,40,52,58,35,34,21,72,33,48,9,6,72,49,66,56,12,56,73,27,71,11,59,54,57,0,37,61,29,45,15,82,28,69,22,69,35,8,62,54,68,80,22,30,29,70,50,19,50,55,26,46,3,66,65,23,39,11,32,53,5,29,0,75,25,54,55,45,0,14,50,65,22,12,41,33,47,12,36,51,4,45,1,53,72,62,74,40,75,60,2,38,80,47,63,51,2,62,58,4,10,18,40,18,42,25,66}

{27,55,64,17,18,74,69,76,1,36,48,77,69,20,59,77,48,24,35,1,4,68,65,34,6,52,28,65,9,7,55,1,22,40,51,7,63,43,65,77,31,6,17,76,0,69,15,50,48,35,69,1,38,76,37,75,21,28,75,25,32,74,17,68,57,73,33,69,52,28,56,37,44,40,77,82,65,3,47,43,31,57,54,43,32,62,31,31,21,56,53,9,38,49,51,1,7,18,16,73,60,58,44,54,41,58,16,68,65,25,60,77,59,27,15,64,50,32,22,33,30,25,70,19,7,2,39,47,2,9,12,45,32,53,59,37,76,67,58,23,81,2,69,41,63,68,68,41,40,32,49,5,47,73,54}

{1,314522379,2,1,1,1,1,208278691,16823372,2,1,17,2596428,1,117591042,1,148966233,12929112,9,1,54592435,1,11,1,1,23496437,1,1,1,1,3,4,22,1,7,164415474,5079294,1,321265703,111016069,32543412,1,241461548,1,3,57274884,35863575,29837016,74951838,9,12117708,44514076,645638499,1,5,123194747,204268770,1,1,1,147489213,28638746,1,48595611,1,1,188942166,1,1,1,1,383366610,69167175,162560268,26540910,8248872,1,295974182,1,1,1,87,236297314,5396436,165230901,7,3266340,271719492,166540245,1,92172300,267881645,821126146,419380390,1,30795656,428111496,144447516,78297318,1,334510458,159191162,1,123773813,1,108166834,247697742,44567700,11,353029922,3,1,134866802,1,101789595,2,146284632,48469560,155684232,162579582,1,1,2252965,2,193746914,1,1,13357246,200446055,1,4,157044300,147489213,15,1,31186980,1,2,1,180847867,325016460,83048282,585684,1,1,3,1,4018895,1,1,2,4,1,7,1}

Returns: "Solution exists"
161

"LLLLGLLLLLLLLLGLLLLLLLLLLLLLLGLLLLLLLLLLL"

{75,148,16,113,101,64,23,95,54,69,1,4,25,60,150,3,83,51,119,131,116,52,129,133,160,81,33,125,110,15,55,111,130,124,101,41,154,28,82,24,92}

{84,71,91,97,75,91,142,20,91,113,112,44,145,5,129,142,103,123,153,80,147,114,108,118,47,132,140,79,134,11,160,121,54,57,157,77,138,95,71,19,147}

{396773151,23083214,2136670,13431888,1,6020,31029109,188478450,3193610,11442819,6103160,4469470,47958096,242228126,16,35949987,176236984,2966090,68019,92919774,7935928,5754318,2541104,12212688,108371826,236367684,19006060,129209710,28541040,1,215948874,15553164,112838411,42617572,119306940,191575338,148894340,526415582,112801062,8920240,83347064}

Returns: "Solution exists"
25

"LLGGGLGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGLGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGLGGGGGGGGGGGGGGGGGGGGGLGGLGGGGGGGGGGGGLG"

{22,14,18,7,21,6,1,13,14,18,12,18,8,10,3,16,6,1,20,0,6,10,4,20,15,7,4,12,10,2,3,23,12,17,0,16,15,24,18,3,24,17,14,13,7,23,5,17,15,23,24,19,14,1,11,20,22,24,10,21,9,6,17,23,14,12,23,18,13,22,21,0,18,16,22,15,11,18,11,7,14,12,1,20,17,8,10,0,21,7,15,3,23,6,1,5,5,22,6,14,14,6,1,14,12,17,9,13,24,3,3,19,20,12,7,9,24,1,21,3,3,4,17,9,13,16,14,17,14,7,20,14,11,17,12,10,9,2,15,6,16,24,14,3,2,4,9,3,24,0,9,20,16,16,13,3,11,10,24,7,10,15,22,12,13,18,15,0,8,0,1,19,14,21,10,1,23,3,1,17,13,9,14,7,16,16,8}

{10,11,6,6,24,12,7,12,24,2,2,6,6,17,17,24,20,9,3,20,10,24,7,24,19,1,12,17,7,20,14,19,16,23,9,9,22,22,0,2,15,15,20,14,19,20,24,4,8,24,23,22,20,24,23,24,21,18,13,0,3,5,23,4,7,8,1,20,17,6,19,3,12,18,1,6,13,4,3,3,12,17,21,17,19,18,15,24,1,20,0,24,8,11,4,12,6,2,3,22,22,0,15,24,4,24,3,0,3,16,2,23,23,11,2,7,0,5,5,0,17,5,2,5,19,17,15,15,6,23,16,0,8,19,2,22,15,12,0,7,3,5,12,14,0,0,5,10,7,18,0,2,12,5,10,11,15,3,4,4,6,8,21,11,16,5,22,1,6,22,11,4,15,5,18,9,11,16,0,20,15,2,5,21,12,5,12}

{62983215,81518070,3,6,1,61936800,1,1,3,3,1,3,1,1,1,1,400,1,4,2,1,1,2,1,1,1,1,1,1,2,1,1,1,1,1,1,1,3,1,2,1,1,5,3,3,1,3,1,1,1,1,9,5,1,1,1,1,3,1,1,1,3,1,1,3,1,1,1,27,15,1,2,1,1,1,1,6,1,2,2,1,1,1,7203600,9,1,1,1,1,2,1,1,1,6,1,1,3,3,4,15,15,2,1,3,1,69,1,2,1,4,2,1,1,1,6,1,1,1,1,2,1,1,3,1,9,1,1,1,15,1,4,1,1,9,1,1,1,1,1,6,4,3,1,1,2,2,1,47442028,3,1,1,2,1,1,1,2,1,1,1,2,1,1,1,1,2,3,1,1,1,178246530,1,1,81567435,1,1,1,1,4,1,1,1,1,3,1,1,225356172,1}

Returns: "Solution exists"
189

"LLLGGLGGLGGGGGGGGGGLLGLGGGGGLGGGGGGG"

{68,83,109,115,11,36,118,60,177,25,169,4,45,82,137,152,84,6,162,37,187,29,58,17,151,172,103,96,134,39,35,177,184,142,15,88}

{137,123,33,42,125,146,59,124,185,180,148,65,183,164,87,124,45,166,4,4,114,173,124,53,61,2,186,146,92,166,97,179,81,3,125,171}

{19003545,21018285,1433105,1,1,327279560,1,5,212376213,1,1,1,1,6,3,1,1,1,1,288914694,454815708,1,36561030,1,1,1,2,1,219896,1,3,1,1,2,1,1}

Returns: "Solution exists"
128

"LLLGLLLGGLGLLLLLGGLGLLGLLLLGLGGLLGGLGGGGGLGGGLGGLLLGGLLLLGLLGGLLGGGGGLLGGLLGLLGGGGLLLGLGGLGLGLLLLGLGGLLLLLGLLLGLGLLGLLLLLGGLLGLLGGLGLLL"

{89,79,20,42,26,36,33,88,26,58,118,43,74,5,3,6,98,89,120,57,96,87,95,17,64,26,120,34,124,34,84,83,70,0,52,43,4,66,35,90,11,33,81,11,32,105,50,103,43,39,87,108,61,25,12,112,68,82,50,112,12,44,93,29,121,114,48,40,3,78,120,79,53,68,0,105,98,33,80,71,112,34,90,27,104,41,118,40,22,24,40,117,98,37,23,53,111,92,74,117,121,116,36,6,107,86,34,45,63,106,82,8,26,36,22,67,39,79,81,60,54,42,110,63,49,34,33,76,70,37,10,126,14,96,124}

{113,66,102,96,107,23,71,78,25,60,26,25,25,7,124,75,49,46,78,32,89,122,101,99,11,76,112,7,74,85,41,9,112,17,62,4,59,4,1,21,26,56,78,112,52,118,61,67,58,67,9,74,109,30,63,51,113,119,41,51,84,113,124,105,89,92,65,114,9,109,1,113,111,8,29,89,127,83,15,87,67,79,73,12,19,8,43,90,125,2,28,93,52,84,25,44,62,1,122,80,93,25,6,4,61,16,58,47,95,94,85,30,69,87,38,6,94,76,124,51,24,19,115,10,93,57,117,16,54,6,9,34,68,109,66}

{203670612,41958840,310799598,2,98957628,307618424,404313211,27,1,14680214,12,35870998,32364356,107679479,18000950,59203770,1,1,120960,3,288342050,33969915,1,7569967,424910433,223076700,5122176,1,149092900,13,1,203019288,15513257,1,1,31011562,1,2,1,1,3,378351283,1,1,1,197112,10,2,18209822,25293066,28795641,1,1,29159774,25572954,92145812,365148,1,215847320,92145812,1,12,2390850,167323449,1,4,2,1,1,2855790,62592,3,1,12068406,61913547,1,287783356,235848232,8,1,1,5,12565309,109866210,657819348,1,59880792,1,6,2756150,1,32440716,1,128210280,30676939,799874580,161598591,1,327768660,4,1,6388569,266204280,45901290,154773630,130969902,1,10883184,1567236,47737800,13,96866518,2,33635224,187416,3,46541944,3321675,44964425,72748148,1453142,3,2,1655214,32960466,1,213665572,214335450,1,3,209785026,5,5807970,111587350,12093400}

Returns: "Solution exists"
163

"GLLLLLLLGGLLGLGGGGLGLLLLLGLGLLLLLGGLGLLLLLGLGLLLGLLLGLGGLLLGLLGLGGLLGLGLGLLGLGLGLLGLGLLLLGGLLGGGGL"

{46,3,78,27,127,12,146,95,142,140,102,139,122,43,148,105,102,5,76,51,47,12,75,42,82,116,108,93,143,73,19,30,156,17,25,94,135,133,91,33,143,36,40,128,62,128,141,28,63,156,152,105,40,11,141,108,110,63,41,90,3,58,66,47,43,162,111,53,149,104,17,97,14,15,147,105,93,53,151,96,151,103,66,128,131,128,4,0,130,93,79,18,134,101,94,145,103,157}

{67,29,56,115,120,41,161,101,73,119,21,37,124,102,31,22,137,128,127,73,18,143,0,71,91,143,58,66,61,12,145,95,117,161,18,4,7,36,0,51,85,103,48,42,114,143,43,110,119,134,56,115,136,97,137,39,118,25,119,154,29,116,89,28,36,31,92,86,146,24,51,47,114,133,100,58,12,64,6,124,51,118,23,20,29,101,46,45,92,28,61,134,136,144,71,152,77,92}

{1,329564937,272627212,348672686,25904144,444120649,116490735,581136017,1,3,38756732,9646140,1,63082318,1,1,1,1,32111856,1,22916470,716803,79597878,19265142,15186831,1,746303910,1,395117,455239837,17032404,90957230,14085448,1,1,359321152,1,9425232,23426259,666983702,724880,5792112,24,4559750,2,235750,169733746,114357470,6,52138736,34011588,334321422,2,188301,1,3,13834140,289939770,35970648,2,329564937,48182590,3,11267362,2,1,107849802,23222108,1,37302608,1,161598,1,2284084,21035844,1,209079197,1,498755379,1,291420111,3228936,1,160729750,1,117351750,732666028,46750982,476815524,1,1,12368240,356229328,3,2,1,2,17128758}

Returns: "Solution does not exist"
64

"LLLLLLLGLLLLLLLGLLLGGLLLGGLGLLGLGLLLLGGLGLLLLLLLLLLLLGLLLLLLLLLLGLLLLL"

{18,53,62,42,3,5,40,37,8,57,41,61,59,28,39,30,37,55,36,18,37,40,12,2,34,63,58,45,50,26,11,39,10,1,38,19,40,4,11,36,63,20,51,1,46,50,17,51,39,13,20,11,50,36,13,45,47,58,61,57,25,51,60,38,16,13,40,27,43,32}

{19,28,32,40,1,51,60,63,54,27,20,13,21,27,32,4,55,13,11,48,42,7,5,11,45,8,40,7,42,38,15,23,52,55,52,62,1,62,10,28,41,23,17,35,32,40,23,53,50,62,52,15,10,49,33,51,56,40,15,49,63,41,38,23,41,38,58,29,38,8}

{3918396,31327371,65699530,47660310,10604945,73340110,64066680,12,135881226,8465082,132374595,18623079,296170706,26255718,16866148,1,185935956,75217267,253142669,4,6,8603710,295452692,24182275,2,3187860,47212155,2,134439498,241287023,1,3752008,2,282084335,58854890,1,7796165,1,1,202093893,15,136797272,72747010,14367990,43583454,13221655,74093768,9891590,13655252,41816710,133087930,752866114,91324078,1,107316753,4105570,165148554,47212155,111707442,45624863,24181200,8560410,266712696,60495256,1,43271413,47212155,16503702,118043261,108151534}

Returns: "Solution does not exist"
82

"LLLLGLLLLLLLLGLLLGLLLGLLLLLLLLLLLLLLGLGGLLLLGLLLGLGLLLLLLLLGLLLGLGGLLLL"

{44,73,78,58,40,9,73,80,14,48,68,63,38,19,1,19,40,8,73,51,66,32,2,59,70,14,71,20,10,11,81,77,5,40,23,5,59,41,10,76,24,63,4,19,0,9,42,55,6,46,71,81,30,22,63,34,53,65,48,58,13,19,1,59,41,3,5,49,65,26,21}

{39,7,59,17,19,81,60,72,0,9,69,43,20,16,68,5,36,67,63,58,20,72,20,80,79,58,74,47,72,29,71,49,66,45,47,52,50,71,13,38,2,65,35,22,30,34,8,67,3,81,6,34,78,72,78,75,23,40,7,34,5,14,7,5,14,8,75,6,44,67,12}

{418618200,566077365,527281840,81425108,3,66809225,527315391,24319946,316556130,226754759,492535410,36028920,363229525,3,30595078,96042570,59160591,3,44198820,300718814,458838046,2,868525441,149255120,45239111,204040430,22760850,78268195,5448576,65614119,5249650,700675520,128715306,42440895,1385980,81947472,10,24912650,3,1,111709906,28794660,9722740,51735255,2,1227590,144403035,182942412,2,132528900,14,3495050,321667354,84594818,143688540,2348970,7681316,155720502,695056285,38,65561298,44480865,33199915,2,17210545,1,3,348565490,149400966,644676,8206900}

Returns: "Solution exists"
17

"LGLGGLLGGLLLLGLLLLLLGLLLGLLGGLLGLLLGGGLLLLLGGGGLLLGGGGGGGGLGGLG"

{6,0,3,13,13,16,4,8,6,16,4,3,9,12,15,9,3,3,0,15,11,5,6,3,2,2,4,15,6,11,1,1,5,12,15,3,12,14,3,4,2,16,12,15,7,12,16,9,16,15,9,13,6,16,6,2,6,14,12,10,12,7,16}

{16,16,14,0,11,6,9,7,9,12,11,14,14,15,5,7,4,14,8,7,16,3,3,9,7,14,13,5,10,1,4,3,1,11,8,2,15,2,15,0,16,11,13,3,11,2,0,8,11,0,5,9,1,5,5,7,15,11,10,0,2,2,3}

{4630497,1,250647,1,2,4630497,25865745,1,1,426393,32035290,250647,3340713,1,205830300,21879393,56278995,250647,538747,125918806,1,51878100,152492469,5205297,1,31369532,182016060,2,1,8448734,442527270,1,203961300,7993062,1033006,1,1,1,89871522,232907565,4452612,195762,45414468,1,1,1,1,179493,195762,123976138,3,3,1,3,1,1,1,1,9741996,1,1,205449052,3}

Returns: "Solution exists"
180

"GLLGLGGGLLLLLLLLGLLLLGLGGGLLLLGLLGLL"

{63,77,29,89,153,14,146,46,122,9,40,27,134,38,157,108,12,77,108,60,116,160,157,45,150,175,33,83,10,105,126,179,150,45,8,17}

{167,17,132,43,16,24,71,126,170,144,60,139,161,60,102,15,43,16,38,178,55,7,24,158,47,59,148,81,91,75,38,63,129,0,79,112}

{1,45851039,121183695,1,141137815,1,1,2,3777198,21778734,678723071,338700,30242338,142233400,338276337,26526910,1,28950883,17463800,314630090,239645770,1,40950581,1,1,1,134999274,11811787,11367356,93389526,8,75950736,11877288,2,33898042,216195811}

Returns: "Solution exists"
176

"LLLLLLLLLLLGLGLLLLGLLLGLGLLLLLL"

{80,41,92,10,105,51,83,2,121,91,171,172,117,13,144,106,156,148,103,66,85,9,155,29,73,93,120,162,67,134,104}

{75,167,72,171,159,82,105,138,107,150,159,57,145,126,132,151,84,7,119,128,142,70,88,104,161,89,66,26,18,146,56}

{17082385,249860046,340579445,8441162,79658040,68923616,331197384,220300997,201144450,232544334,4041510,1,65086980,1,56632294,78626940,8553294,41642564,1,5345700,22888580,57779760,2,27380787,1,129211254,120632900,38799912,196467150,53658774,23221317}

Returns: "Solution exists"
121

"LLLGLLLLLLGLLLLLLLLL"

{40,115,7,66,114,29,37,36,118,3,37,120,99,1,51,66,102,110,53,92}

{15,15,111,78,5,107,46,8,105,25,23,20,67,46,82,41,63,25,48,102}

{349903113,643206305,2914860,1,12517362,771047362,8222560,513270654,947830,66602760,1,59611508,264080757,1232160,203131079,41123430,256300,153163694,166415880,29248956}

Returns: "Solution exists"
4

"GLGLL"

{0, 0, 0, 0, 2}

{1, 1, 2, 3, 3}

{2, 2, 1, 4, 8}

Returns: "Solution does not exist"
123

"GGGGGGGGGGGGGLGGGGGGGGGGGGGGLLGLGGGGGLGGGGGGLGGGGGGGGLGLGGGGGGGGGGGGGGGGGLGGGGGGGGLGGGGLGGGGGGLLGGGGGGGGLGGGGLGGGGGGGGGGLGGGGGGGLGGGGGG"

{88,41,95,21,33,60,101,95,5,44,85,84,7,69,16,19,78,114,31,107,106,51,31,8,48,66,13,0,113,75,101,6,26,93,54,28,46,18,109,92,61,111,67,39,54,32,109,61,6,91,108,47,114,35,4,82,65,44,103,18,24,34,36,79,102,77,55,57,38,32,40,93,35,91,60,60,120,32,11,7,104,4,54,36,12,88,95,10,12,91,21,103,85,115,4,50,103,24,84,31,13,41,11,97,40,97,4,21,57,5,44,119,48,1,78,51,88,71,122,119,111,20,50,113,38,22,3,93,49,84,71,51,88,82,65}

{37,110,19,32,95,64,99,105,96,78,29,66,85,79,69,114,80,74,122,26,52,23,33,53,99,111,89,93,60,120,68,79,90,122,52,112,11,50,62,55,75,39,62,92,103,8,111,89,37,42,96,24,42,38,43,48,14,54,62,107,69,56,84,49,107,64,2,69,120,0,67,97,60,79,22,15,36,26,120,6,73,89,24,82,35,37,0,106,113,115,10,21,84,31,0,118,66,119,78,49,120,49,41,85,80,59,115,38,42,77,7,20,99,119,114,26,56,46,96,35,15,91,88,39,70,57,39,115,50,34,5,72,120,63,93}

{3,1,2,4,1,2,1,1,1,17,2,1,4,630476418,1,1,4,1,11,1,2,2,1,1,2,1,1,1,295267258,493951138,1,88344234,5,1,3,1,2,92677156,1,3,1,1,2,1,75087810,1,1,1,3,1,1,1,1,611354224,1,698440,1,1,2,13,1,4,1,1,1,1,3,1,1,36,1,1,2,121206954,1,2,1,1,2,2,1,1,11919555,1,1,3,2,102937310,1,1,2,2,41,1,3749040,85421153,1,1,17,5,1,5,2,1,12014700,3,1,13,1,203528835,1,3,2,1,1,5,8,1,1,16,105511812,1,1,1,31,1,1,1,91017515,1,1,1,2,38,1}

Returns: "Solution exists"
129

"GGGLGLLLGLGGGGLLLLGGLLGGLGLLGGGGGLLGGLLLLLGLGGGGGGLLLLGLLLGLLGGGLGGGGLGLGGGGGGGGGGLGLGGGGGGGGGLGLLLLGLLLGGGGLGGGGLLLGLLGGGGGGGGGGLLLGGGLGLLLLGLGGGLGGGGGGLLGLLGLLLLGLLGLGG"

{83,120,13,46,58,127,91,116,75,87,27,125,67,100,79,67,34,46,107,3,6,52,4,47,61,36,120,107,0,18,95,103,92,80,121,128,113,21,8,20,98,24,55,118,26,73,83,83,125,81,89,18,79,1,85,1,50,85,8,45,114,41,16,120,78,108,97,24,80,71,77,33,26,20,98,94,84,18,125,106,25,62,41,115,37,65,95,21,7,70,18,43,29,67,30,123,63,110,59,48,34,115,54,14,14,42,96,52,92,119,71,96,83,72,39,38,87,52,76,110,12,0,51,47,110,2,38,82,67,93,45,23,50,73,16,102,11,15,103,8,43,29,127,21,126,96,91,91,24,19,4,3,82,121,65,23,22,8,28,1,0,3,84,72,97,71,55,112,25,52}

{18,88,107,32,11,17,51,2,48,125,37,82,127,118,8,78,54,57,37,80,73,108,75,98,98,19,126,8,75,35,72,70,66,7,118,93,121,85,71,113,86,23,99,82,48,63,16,101,23,74,114,31,110,22,101,60,88,2,55,36,92,76,65,126,15,60,49,47,85,51,13,103,123,22,40,64,44,17,46,6,32,98,104,10,101,4,108,61,58,107,90,102,80,68,69,37,117,54,7,45,114,88,20,82,26,30,118,97,104,24,38,105,18,67,95,64,15,24,27,40,76,106,85,51,39,112,69,77,124,57,58,38,56,101,65,75,18,41,13,28,126,111,42,115,32,90,75,36,128,1,30,15,104,61,25,66,89,121,128,96,15,29,54,61,87,89,76,83,89,106}

{1,1,2,52168320,1,22411466,69456392,64498896,1,402887400,2,1,1,1,308868234,24308495,82609325,114335568,2,2,93977800,117100335,457,1,300216990,1,86075250,712308338,43,2,1,1,1,34606308,41236800,1,1,4558860,316828241,124353456,22590130,47919396,2,129054144,3,4,1,1,2,1,211231210,255924738,19024986,53709798,3,54980694,5096372,12467952,1,620137250,3356215,2,1,5,735165,3,1,3,3,122246716,2,99095388,3,6,2,2,3,2,3,1,1,2,11398674,1,8331888,1,1,3,4,1,1,1,1,1,83550516,6,11740160,15343871,34098636,3553500,5,104727506,92422614,12127227,3,7,3,5,5279295,3,1,15,1,86104180,310403587,37723068,5,162211620,95520920,1,5,1,1,1,1,2,6,1,1,96485232,11124000,2611098,1,1,1,53313163,1,21216510,5368524,548741423,495873510,1,9610832,1,10,1,567049256,1,4,3,1,1,1,51337275,502747471,34,257704386,75482825,1,30725355,19276470,124393594,32554563,1,14975000,293275306,88,20974738,1,1}

Returns: "Solution exists"
57

"LLLLLLLGGGLLLLLLGLLLLLGGLGLLLLLGGLGLLGLGGGLLLLGGLLLGGLLGLLGLLLLLLLLLLLLGLLGGGLLLLLGLLLGLLLLLLLLLGLLLLLGGLLLGLLGGGLGLLGGLLLGGGLLLLLL"

{21,18,34,7,25,22,42,45,56,24,21,32,41,48,11,20,28,26,20,32,14,11,4,9,28,8,38,49,56,50,18,18,54,7,5,50,3,37,2,43,54,33,17,32,2,24,3,14,13,24,24,53,51,22,30,15,42,1,29,21,16,45,41,14,56,46,11,10,23,47,25,42,13,3,33,34,54,51,17,55,36,2,8,0,23,34,28,6,50,2,52,46,34,21,29,14,54,7,14,17,40,23,9,32,30,5,10,19,51,5,14,26,36,50,52,7,46,44,15,36,46,54,14,13,50,33,48,33,20,23,55}

{25,6,55,54,12,36,34,50,36,41,45,36,1,29,38,43,14,18,47,7,52,26,20,27,17,15,46,35,41,17,14,56,39,54,46,44,56,28,28,55,3,14,41,48,16,6,50,8,6,12,45,51,52,39,19,36,38,25,15,19,56,11,38,38,15,48,37,13,9,2,12,7,24,0,26,25,46,10,4,25,37,44,2,15,9,11,36,33,5,29,19,39,3,13,20,45,39,18,47,2,41,41,20,30,3,54,52,50,19,52,52,35,41,35,7,42,23,34,23,23,44,3,15,26,26,24,24,51,32,17,44}

{99702668,587415972,728561545,10854690,28727136,7289870,181234774,1,1,1,161847036,365294405,95883333,287789120,752241,51425539,1,842458006,63712,45480215,170686590,190297002,1,2,140727480,6,1365492,42104720,488818581,3963520,188083922,1,10,10854690,1,184448,129853461,1,70013796,1,3,2,608422840,299990627,126056204,79628340,1,2,7035996,10355040,71874045,2,1,1273330,45573122,5,2187906,78667134,20,32286644,407128686,39922029,9158763,2163498,1085580,54067844,6424005,20688624,28971516,89632,28727136,1,186151020,513277509,2,1,2,1763568,539871960,575096870,3154585,11741792,2,699436260,28971516,186935217,1,237968148,34339712,60053440,95987805,11499940,604612011,34931468,42687040,114818562,10,59973485,102112,63078520,343602206,359542236,1,1,273400638,650454630,47499120,1,9503672,652283805,1,1,1,23013760,5,13133890,13401156,1,12,217519260,4221344,191410590,2,2,2,286177830,160874655,31614472,44496859,74924040,108761440}

Returns: "Solution exists"
142

"LGGLLGLGGGGGLLLGGGLLLGLLLGLLLLLGLLLLLLGGLLGGGLLLLGGGGGGLGLLLGGLGLGLLLLLLGGGLLLGLLGGL"

{81,30,114,2,40,109,9,86,43,55,38,83,104,131,63,129,17,135,83,8,7,39,31,36,114,38,90,128,100,97,137,79,97,85,121,86,71,122,124,119,14,141,3,129,54,104,28,34,111,88,135,11,109,141,52,34,32,13,134,116,89,25,53,78,86,98,133,29,107,86,78,85,36,25,121,124,135,64,131,12,36,97,32,10}

{125,18,16,54,122,75,79,85,113,95,137,55,26,72,40,111,60,75,139,84,48,56,21,107,140,122,28,53,85,36,10,114,9,96,60,10,86,3,137,15,132,101,127,96,100,108,15,136,129,103,67,91,10,128,96,22,24,137,7,104,25,93,132,56,141,73,11,46,81,137,105,48,138,16,67,133,82,118,138,97,109,102,13,90}

{34206720,2,1,701917290,210095456,4,281058778,2,1,1,2,1,607397370,140333160,432858145,3,1,1,16363100,75683024,35508378,1,3482016,601760926,310926759,2,9779400,5421357,164504676,531568752,673699474,1,59915856,346577316,135418516,307672498,57834374,209682272,1,1,191549494,27558276,1,1,1,101143884,4627800,72475608,797115,1,1,1,1,3,1,15091414,5,37221516,523235778,338412975,2,1,26268306,4,12254106,1,5150540,454245572,286191770,141735746,70226100,19920588,1,2,1,11648270,60523065,3318510,2,129208464,396990828,4,4,48971251}

Returns: "Solution exists"
165

"GGG"

{24,50,144}

{164,73,143}

{8,4,1}

Returns: "Solution exists"
62

"LLLLGGGLGLLGGLLG"

{19,43,8,51,20,13,50,42,55,1,52,23,52,17,60,30}

{58,31,57,53,3,36,2,0,12,11,28,53,29,41,17,44}

{21043824,37026000,17307515,29657065,1,1,1,263733892,3,3250126,47345429,1,1,124907147,28966047,1}

Returns: "Solution exists"
19

"LLLLLLGGLGLGLLGLLLLLLLLLLGLLGGLLGLGLLLGLGLLGLLGLLLLLLLGLLLLLGGLLGLGLGLLL"

{13,16,0,15,9,5,13,8,14,17,2,6,15,12,14,10,18,15,17,16,3,15,15,3,0,3,2,2,17,11,1,10,1,7,6,0,17,5,5,13,10,3,7,16,3,0,7,8,11,2,5,15,7,17,16,18,12,0,18,14,17,7,8,4,14,2,7,14,13,8,13,1}

{8,9,16,0,0,15,4,7,18,15,12,7,1,10,16,1,2,12,11,11,1,9,4,5,14,5,8,4,18,12,8,2,3,10,1,17,3,11,1,12,4,5,16,7,7,17,8,2,17,9,18,5,3,15,5,15,0,16,5,3,14,5,6,16,3,1,10,4,2,11,5,16}

{169177368,401489525,340283156,37140460,357052900,2382660,2,1,683106,2,35370870,1,623420,3125755,1,12146470,11915814,2246020,28386,1114977,30935940,35056700,14355740,7882308,4470772,12,180404886,45215538,6,1,102818310,63936546,2,70955827,1,12994812,3014892,148428,14,11056520,1,7882308,583915411,1,361435908,12994812,1,180404886,28386,552081450,3460716,2382660,361435908,6379380,31,11349660,22875740,340283156,3460716,3111756,1,1,599545437,65764082,1,68724390,1,864034,2,20121,16420824,99956710}

Returns: "Solution exists"
41

"GGGLGGGGLGGGGLGGGLLLGGGGGGGGLLGGGLLGGGLGGGGGGGGGGGGLLGGGGGGGGLGGGGLGGGGLGGGGGGLGLLGGGGGGGGGLGGGGGGGGGGGGGGGGGGGGLGGGGGGGGGGGGGGGLGGGGGGLGGLGGGGGGLGGLLGGGGLGGGGGGLLGGGGLGGGGGGLGLGGGGGGGGLGLLGGGGLGG"

{13,31,40,40,21,5,31,28,3,1,5,4,21,37,21,0,39,13,7,6,15,1,31,29,17,34,31,24,13,1,1,6,18,16,23,28,15,35,1,18,36,10,15,19,38,37,22,12,36,11,11,35,8,22,26,25,3,34,18,28,5,16,9,25,4,29,1,7,7,40,17,28,14,25,33,34,32,37,31,17,30,13,40,36,11,20,26,34,39,34,5,38,34,39,28,37,0,21,19,24,23,6,28,38,18,30,30,12,4,13,17,8,23,9,35,16,24,13,22,4,1,38,23,30,29,17,11,24,12,17,30,7,28,4,19,24,10,14,29,1,22,38,12,11,19,22,0,19,29,9,18,37,15,28,3,17,15,27,2,19,11,24,38,11,4,28,12,30,33,9,2,21,1,18,32,0,18,32,2,15,4,5,29,7,12,27,13,6,26,6,4,19,34,36,34,17}

{33,11,22,2,31,19,32,12,26,38,7,13,3,36,33,40,26,4,17,13,25,40,30,16,34,16,23,9,12,35,4,7,32,37,40,12,26,19,32,8,25,22,25,9,23,38,26,36,31,16,19,8,0,9,7,36,8,40,2,1,24,11,14,20,9,21,34,20,25,7,6,23,18,13,18,23,34,27,23,33,4,34,39,28,3,31,37,9,34,15,22,1,33,28,26,25,12,13,35,31,29,5,3,32,20,2,9,22,26,3,13,24,38,1,37,6,4,6,34,29,33,15,18,0,37,35,17,39,38,0,24,17,30,8,37,9,9,4,23,20,21,8,4,17,24,40,4,21,5,0,32,14,29,2,29,3,22,15,12,5,37,15,23,38,25,27,7,24,11,34,35,0,32,3,38,4,19,36,39,17,34,33,40,33,7,24,31,3,5,2,2,36,33,21,40,32}

{2,4,2,7385696,1,3,1,1,8870060,1,1,2,1,296137716,1,2,2,17715144,2602518,25068258,1,1,8,2,3,1,1,1,18377750,215385478,1,2,1,419343330,5704950,1,1,1,38961195,2,1,2,1,1,25,1,2,2,4,2,1,2150610,1228920,1,2,1,1,1,2,1,1,311774380,1,1,1,1,18067719,1,1,2,6,49674675,1,1,2,3,3,3,60487800,2,29308272,29321826,2,1,1,1,1,1,3,1,1,39246625,1,1,1,7,2,1,1,4,1,9,1,5,1,16,1,2,4,1,2,2,301125,1,7,2,4,2,1,8,1,1,1,392,7,2,2,2,200750,6,4,2,1,6,3,37194268,1,1,85234800,1,1,5,2,2,1,449102,24,1,303342480,28963704,1,7,1,1,117024656,1,1,1,2,3,1,367673396,301125,1,1,1,2,55351184,2,1,2,1,1,1,375375,24,201090282,1,2,1,3,1,2,2,2,53274684,2,187128198,4598460,2,8,1,1,27294332,1,3}

Returns: "Solution exists"
162

"LLLLLLLLLLLLLLLLLLLL"

{75,31,154,126,77,40,57,119,155,30,1,145,150,129,99,96,111,97,67,18}

{17,70,64,45,145,46,20,34,67,25,149,144,116,73,75,112,34,130,115,66}

{55471584,127040706,370022264,6364100,309278214,298129755,211462048,13516174,69741984,635420335,270867630,488231646,467737594,13945015,32266080,361888146,14897939,390042092,9028512,41180834}

Returns: "Solution exists"
113

"GGGGGGLGGGGGGGGGGGGLGGGGGGGGGGGGGGGGGGGGGGGLLGGGGGLGGGGGGGGGGGGGGGGGGGGGLGGLGGGGLGGGGGGGLGGGGGGLGGGLGGGGGGGGGGGGGGGGGLGGGGGGGGGGGGGGGGLGGGGGGLGGGGGGGGGGGGGG"

{71,37,89,17,83,59,4,104,13,24,62,49,74,90,76,53,72,104,68,105,30,20,4,48,45,94,51,109,78,38,18,79,96,72,92,46,4,10,84,106,58,85,42,27,18,65,87,39,46,11,54,59,40,29,55,83,73,103,111,5,108,8,81,33,62,88,35,66,108,79,81,102,112,106,108,51,21,91,37,101,15,64,93,105,81,94,40,33,19,19,89,110,109,92,79,56,74,90,61,41,99,79,97,71,80,84,100,18,88,78,101,67,65,83,33,68,18,32,88,108,12,60,71,73,51,95,66,70,19,92,3,76,108,97,19,69,18,59,6,57,10,16,90,24,109,12,7,72,86,43,24,41,102,40,102,83}

{46,41,55,9,13,38,53,63,20,112,3,16,32,109,36,34,5,26,9,71,83,70,107,110,26,31,104,56,63,40,84,34,90,41,60,61,57,106,61,100,30,48,75,101,73,31,60,107,13,58,3,44,63,107,74,19,22,90,47,0,13,22,30,53,112,84,111,108,27,42,68,95,50,37,103,6,92,5,67,22,1,59,39,55,88,20,111,31,89,28,43,29,59,47,43,111,47,109,42,29,60,52,28,65,49,96,48,65,45,11,50,72,28,53,79,107,31,92,41,6,72,62,58,31,96,45,21,6,67,4,69,45,48,89,28,78,78,81,83,9,31,12,85,51,49,90,48,38,30,9,77,10,20,111,6,107}

{2,1,1,1,1,1,25521462,1,1,2,1,1,34,8,1,1,1,1,1,106828188,1,1,1,16,1,8,1,1,2,1,1,2,1,1,2,2,2,2,2,14,1,6,3,447978276,165027215,1,6,1,1,1,343466599,2,1,1,2,1,1,1,1,1,1,1,1,1,2,1,1,1,4,1,2,1,16464510,2,1,201294180,1,1,2,1,2161140,1,5,1,1,1,1,2,38607492,1,1,41,2,1,2,462084,1,8,1,221833821,2,1,3,1,1,1,6,1,1,10,1,1,1,1,2,1,1,135565480,1,4,1,2,1,1,1,1,5,1,4,2,1,1,8,3,13763244,2,1,158,1,1,2,20992144,2,2,1,2,8,1,1,1,1,1,1,1,1,1}

Returns: "Solution exists"
191

"GGLGGLGGGLGGLGLGGGGGLLLLGLGGGGGGGGGGGGLGGGLGLGGLGGGGLLLGGLLLGLLLGLGGGGGLGGLGGGGGGGGGLLGGGGGGGGGGGGLGLGGGGLGGLGLLGGGLGGGLGGGGGGGGGGGLLGGGG"

{92,7,29,51,166,30,190,141,69,92,146,127,70,133,75,130,110,60,75,62,94,105,174,99,134,125,79,65,168,26,75,135,183,133,110,187,133,157,162,82,83,162,5,146,172,140,79,48,168,11,27,130,22,53,3,140,94,89,168,175,86,10,64,165,71,32,76,134,134,96,110,67,122,27,100,166,9,132,27,51,48,17,1,129,31,118,46,104,160,90,149,65,131,174,84,63,151,128,90,26,121,174,104,150,189,184,163,45,51,44,92,107,76,184,85,44,129,80,46,109,117,182,149,85,166,76,129,117,45,149,104,21,158,88,26,50,15}

{106,121,51,6,150,86,161,27,66,23,76,19,124,52,27,148,131,114,116,116,87,153,56,168,162,187,154,92,44,113,11,147,141,35,154,174,151,98,34,178,128,24,56,47,79,145,63,4,31,54,37,123,122,165,55,75,61,8,146,35,37,112,17,186,95,72,111,20,108,158,57,48,64,78,189,69,109,118,163,150,131,189,63,155,121,156,19,5,138,23,91,57,105,63,57,43,62,172,139,18,186,175,3,177,36,178,132,107,86,54,27,190,145,8,181,39,126,66,107,151,110,90,159,91,184,41,176,99,103,136,16,33,69,126,93,155,126}

{1,1,373319216,1,1,1222350,1,1,2,32258779,2,5,86074134,1,335663288,2,32,3,1,7,13854432,26919165,48528711,16841484,1,63000102,1,1,1,1,1,1,1,1,16,1,7,1,614900,1,3,1,321032448,2,42669922,1,1,8376333,4,2,2,1,70240,79964884,296333266,1,8,287997095,229112708,3865140,281,194220888,22590852,128418220,3,876645,10,1,1,1,1,212256653,4,2,520577141,2,1,1,4,1,1,1,1,1,14618400,384826570,1,4,11,1,1,1,1,1,1,4,7,1,174887492,1,176090810,1,1,3,1,6318450,1,1,6179471,3,198985528,246399429,1,1,1,328782726,1,1,1,38729418,2,1,2,1,2,2,1,6,1,1,1,381733635,258046530,2,1,1,2}

Returns: "Solution exists"
184

"LLGLLGLLGLLGGLGLLGLLGLGGGLGGLLLLLLGLLLGGLGLLLGGLLLLGLGGLGLGGGLLLLLLLGLLLLGLLLGGLGGGGLLGGLLGLLLLGLGGLLLGGLLLLGGG"

{17,133,127,128,100,29,141,41,29,149,44,115,96,144,121,98,68,163,100,95,159,174,48,78,130,51,147,54,134,78,175,135,166,6,162,31,159,3,66,37,109,81,60,42,151,84,78,156,93,133,99,62,56,84,118,149,146,71,154,76,87,58,168,155,90,79,26,27,164,41,24,110,179,123,160,29,135,86,50,177,57,4,139,102,111,38,162,133,83,61,17,146,51,16,109,182,61,57,129,45,123,141,159,51,181,20,80,155,86,173,53}

{134,0,18,95,3,84,23,74,52,32,19,27,41,6,21,61,138,91,160,96,17,155,151,158,103,76,76,88,45,133,28,60,28,144,29,17,103,164,26,93,168,183,110,109,104,123,80,46,163,112,103,83,131,146,166,47,125,147,106,102,25,60,169,126,62,143,21,10,173,64,162,98,141,140,108,4,104,65,30,103,76,136,55,65,76,168,101,15,88,12,150,132,122,167,61,149,171,118,26,91,7,22,150,65,164,175,94,177,40,32,157}

{210638484,20630540,1,311678677,317972508,2,91349788,19797498,1,577084222,93999160,7,1,64153444,2,114747771,121529730,1,164152884,464763713,1,9922408,1,6,1,484384970,2,5,18070596,28762098,92781740,39843431,32340555,64153444,2,42943236,52679913,123365490,2,85,102094146,1,106342110,29494080,11870914,4,1,202010910,14049310,22739088,571994889,1,1227170,1,3,262366104,1,82391352,2,5,1,205587407,9365470,298266504,440437949,62107415,960440,82349190,3,1869714,11855280,80405010,193415836,2,160722488,60749406,10331387,1,9,177894075,10,1,1,5,57943770,612670106,4,2,18768820,83295012,1,97003812,307183080,136583682,66875886,1,3287961,1,65,22985441,77627664,94353716,11,1,5132490,114269080,7490390,495670200,1,1,3}

Returns: "Solution exists"
57

"LL"

{30,54}

{5,44}

{14423553,3090780}

Returns: "Solution exists"
81

"GGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG"

{3,4,65,8,49,78,45,15,43,56,50,42,80,60,68,0,41,48,72,4,38,50,80,73,17,55,22,73,79,17,48,4,33,20,15,76,28,7,51,9}

{37,49,50,77,59,41,59,4,7,80,26,77,63,54,62,52,57,56,46,65,58,47,51,7,6,18,35,9,64,50,5,42,21,45,18,66,80,45,76,23}

{4,2,1,1,6,1,60,2,1,1,4,8,3,1,1,2,1,1,1,1,5,1,3,1,1,490,3,1,1,1,2,2,2,10,38,4,3,19,2,1}

Returns: "Solution exists"
173

"LLLLLLGGGGLGLLLLGLGGLLGLLGGLGLLLLGGGGLGLLLGLLLLLGGLLLLLLGGGLGGLGGGGGGLLGLLGLLLGGLLGLLLGGLGL"

{27,172,0,73,52,113,103,168,171,22,168,48,83,27,2,55,152,127,42,97,165,165,40,97,41,122,91,49,83,12,133,168,12,92,89,25,16,122,12,132,36,16,146,8,162,29,41,49,82,20,53,51,108,17,132,56,42,143,124,58,123,100,94,152,96,38,89,109,168,52,100,69,68,79,100,166,34,107,171,119,104,77,163,153,110,82,143,166,153,71,108}

{48,4,139,115,31,61,123,65,122,117,95,44,37,160,117,115,62,161,63,39,158,167,93,141,70,130,68,19,58,52,134,9,86,89,81,151,23,141,114,149,141,122,157,127,5,16,81,67,21,69,76,47,101,109,30,162,56,160,133,158,116,77,70,10,57,94,76,55,26,74,16,42,123,29,22,139,57,23,131,20,20,3,154,21,25,5,55,152,93,134,101}

{144532260,154709126,27027093,69133854,394349952,396180,1,1,1,3,66559892,5,1874514,12551940,64197276,105050715,4,351790582,11,1,270400,19205160,1,49662351,172176518,1,4,379302484,2,421694571,371905506,162450890,293941959,1,1,2,2,27417789,1,11493505,14241294,123375686,34,301306723,123581745,106725834,179975980,338832604,1,1,92633740,121919230,2401011,420608,3022570,6622515,1,1,1,756800,1,1,344330210,1,1,1,1,1,1,405316533,253323682,1,67592368,23211774,1,37349461,69168785,177438174,2,1,246933051,10475030,1,376680752,40338144,150131429,1,1,303273285,3,2401011}

Returns: "Solution exists"
102

"GGGGLLGGGLGGGLGGLLGGGLGGGLGLLGLGLLLGGLGLLLLGGGLGGGLGLLGLLGGGGLGGGGGGGGGLGLLGGGLLGLGLGGGGGGLGLLGGGLLGGGLLGLGLLGGLGGG"

{71,52,39,45,57,5,91,31,1,96,63,53,2,85,63,83,58,20,97,87,92,65,6,77,82,22,91,67,48,6,53,49,15,88,86,41,49,61,54,76,35,79,72,96,70,60,53,44,30,66,94,36,42,90,20,0,44,42,18,61,32,38,9,8,94,77,53,70,34,56,98,1,28,98,60,17,3,75,14,76,40,18,83,33,29,3,56,64,2,58,22,76,24,59,33,68,58,18,91,34,80,57,15,44,92,36,93,18,61,85,45,49,20,50,87}

{33,77,25,14,31,3,40,69,3,23,28,95,28,1,52,29,16,101,64,92,33,88,23,92,57,14,72,101,99,67,62,14,42,29,71,85,63,33,85,70,71,18,46,26,67,62,99,74,97,101,33,17,14,43,68,11,90,71,37,37,24,88,28,55,39,50,73,27,97,33,38,81,71,66,9,75,89,11,69,51,81,56,6,94,23,64,60,71,57,89,79,92,69,27,50,60,75,40,7,78,71,21,33,23,95,75,79,65,18,60,97,88,14,80,39}

{1,1,1,1,71240535,11117960,2,1,2,5295234,1,1,1,594288042,2,1,1353726,2516703,1,1,1,460944978,1,1,15,384851035,6,8855426,311594496,1,395900505,1,1272960,261102084,212081430,1,2,338103101,3,390799122,107842345,233273560,6544992,1,2,9,510374410,6,1,1,511349237,2,22222720,197364817,3,176219442,457756914,5,1,1,1,20122224,59,1,1,1,1,1,1,1,2,418569502,1,27008366,23342760,1,8,1,339110160,85373107,1,3416140,1,511349237,1,8,4,1,1,1,716275352,1,99917520,241864927,1,3,1,34048780,1208844,1,5,3,34114104,612026562,1,532513008,1,159948555,113849435,3,1,393952036,1,5,1}

Returns: "Solution exists"
81

"LGGLGGGLGLLGLGGGLGGGLGGGLGLGGGLGLLGLGGLGGGLGGGGGGLGGGGGGGGLGLLGGLLGGLLLGGGGGGGGLGGGLGLG"

{60,20,31,0,38,4,57,39,53,23,24,70,9,13,46,2,64,72,40,55,16,77,53,63,47,16,11,12,58,12,12,59,70,80,9,73,1,18,53,56,4,27,0,17,43,61,7,30,51,35,9,60,54,68,61,2,7,14,68,42,45,58,31,76,22,6,50,5,71,74,73,53,12,55,33,49,59,79,37,64,23,12,33,43,61,40,20}

{51,12,51,30,74,74,66,50,26,0,57,0,75,15,78,73,12,73,59,76,70,72,39,52,48,43,15,29,36,50,31,43,60,14,31,43,41,66,49,40,28,49,79,34,9,33,59,69,43,53,27,16,58,73,7,43,16,77,27,38,15,61,37,46,33,31,5,61,70,23,39,49,80,5,6,48,79,52,57,31,65,57,59,63,34,6,13}

{297220418,40,1,198521820,1,1,1,219029831,1,153402228,248468616,42,553536291,1,3,1,5280,1,1,1,502948866,1,1,1,21628236,1,33570834,1,1,1,4320480,1,118221978,99497832,3,116674740,1,3,2840994,1,23,2,80921484,2,1,1,1,1,1,586485198,1,1,1,1,2,1,1,1,199349326,2,6146058,1200990,1,2,147965251,195501720,1,2,21706986,410688915,284740668,19,24,1,1,1,1,2,1,1485165,3,1,1,11989250,2,11489880,1}

Returns: "Solution exists"
161

"LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLGLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLGLLLLLLLL"

{69,87,9,33,117,8,109,76,15,110,35,119,93,66,152,53,6,120,118,153,49,18,13,112,55,128,113,35,34,14,108,158,112,34,12,4,47,152,49,95,47,75,5,96,36,59,145,45,8,101,22,79,160,143,149,7,68,94,108,70,119,9,74,96,70,1,102,142,100,10,5,2,52,65,115,86,106,129,7,147,6,52,145,112,152,58,74,110,112,85,146}

{34,32,96,121,118,134,43,82,3,8,32,120,4,151,101,100,78,133,19,75,17,76,115,148,137,72,114,6,102,158,95,111,21,146,11,154,120,127,121,102,160,5,86,7,47,135,98,139,138,41,14,121,134,5,23,67,15,58,117,90,133,0,90,79,104,53,43,40,4,87,94,11,55,96,101,136,98,108,137,35,123,25,2,105,154,51,104,117,153,37,71}

{12211380,26150080,278547738,122791778,592463592,7395591,18295310,575784734,52585746,179195095,6640370,248222496,4798410,25564686,2109156,2113650,636395412,11293899,75529125,169427907,43394175,279933575,654030,13148180,356844971,35413102,9902872,83167971,4299580,13228720,393820812,30579770,29324340,2337740,40330380,30709824,17310450,24790812,144361206,216288090,664150,1,98302903,58883694,6293700,475155848,44274532,716334171,11172063,18434290,4254320,158972754,17716650,296429697,442550248,12214000,263689617,9983432,123291784,1012539,32019296,69882491,3143247,69027078,3359697,361159650,33856190,198903825,3610530,288266176,28826344,193477409,108895087,26872254,1407770,8903560,43013235,55391644,258680306,32488099,177203286,11271472,1,29530380,12437184,7707059,38241797,539331080,29324340,78100308,47650716}

Returns: "Solution exists"
59

"GLLLGLLLLLLLLLGLLGLLLLGGLLGLLLLLGGLLGGLGGLLGLLLGLLLLLGLLLGLLLLLLLGLLLLLLLLGLLGLLGLLLLLLLLLGLLLLLLLLLLLLLLGGLLLLGGLLLLGGLLLGGLGGLLGGLLLLGLLLLGLLLLLGLLLLLLLLGGLGLGLLGLGLLLGLL"

{42,6,40,34,50,33,15,5,36,22,45,38,13,6,36,39,32,45,49,50,39,48,47,18,19,40,43,44,41,11,50,51,36,39,22,1,45,10,20,14,43,53,55,35,49,0,54,22,54,8,46,25,8,58,11,31,5,54,52,29,1,41,20,56,26,53,48,38,48,31,3,52,6,36,2,18,48,7,32,50,0,39,54,20,52,50,3,35,39,36,49,10,30,15,20,50,53,27,55,37,34,48,34,51,46,31,13,16,50,6,34,6,13,37,4,21,7,16,43,58,15,9,27,35,51,14,10,17,34,11,36,21,7,24,31,2,25,16,39,56,46,19,34,21,14,32,47,4,7,23,48,14,24,6,48,42,37,58,58,17,21,27,18,15,58,27,58,48,13,58,30,54}

{45,43,16,15,25,25,48,47,9,43,1,57,10,13,16,23,13,28,0,6,17,16,53,6,13,4,16,43,40,15,58,35,55,18,32,15,8,28,34,33,32,9,9,46,44,2,13,50,29,31,31,20,23,31,17,17,44,13,28,55,12,46,35,33,37,49,35,54,30,22,56,50,21,47,19,49,1,19,39,20,8,27,4,51,27,22,1,19,46,40,45,27,24,18,41,42,26,31,20,16,24,19,13,40,22,5,31,38,13,15,7,42,11,56,37,22,9,22,57,32,49,53,6,32,23,43,15,24,21,27,33,5,4,26,29,32,17,38,1,21,48,43,28,10,26,31,48,22,10,54,19,10,54,49,50,28,11,14,32,55,58,42,35,25,24,39,42,42,42,55,43,39}

{1,4902953,522977968,540211,1,638346810,58368737,22435018,109970844,362984,414200,27513765,159613035,15678795,4,6498178,80647215,4,21696444,32096064,4907590,463584848,1,1,245697045,375066981,1,22053947,268383495,8322552,23709504,1435775,6,2,21846088,12856550,5,1,5453406,2,1,341312548,701543226,1,6246828,236364964,27081555,8,72004889,16968595,103669090,556223598,651399215,1,536273640,16264535,130274458,1,45680140,647975922,77210150,266162430,150623550,118803510,348723309,4,156499475,34411185,158726345,8658440,171606519,203810880,46075634,6369348,1,484596,1237150,1,2135474,9906624,1,2282826,42635601,59463558,235656330,5049408,71716550,16552525,3128066,124938588,4,377797602,174988370,3024238,76323870,432449472,14211516,10808070,113330826,277686256,6246662,712276741,1954515,69698761,32000392,1,5,203191920,49707840,4333483,1755285,1,3,193280661,199149777,28994792,188321385,8,1,102578344,254772,341312548,1,11,71796241,1,1,592341770,5743778,42,6,197721406,34331535,27905394,84985285,1,507197255,203191920,615850,327094362,1,76832503,896764,469058482,201267066,35386505,1,31066344,143343165,91233269,712276741,159968354,86553094,1388772,432309696,1,1,46431112,1,620050110,2,500019702,8108650,1,6437608,2,268696856,612413993,211249785,2,17121635,717098}

Returns: "Solution exists"
176

"GGLLLGGGLGLGGLGLLGLGLLGLLLLLLGLLLLGGLGGGLGLGLLLLLLGLLLLGGGLGGLGGLLGL"

{35,130,72,108,133,124,1,81,23,82,37,97,64,75,60,168,41,144,39,17,10,60,138,101,100,130,172,40,159,127,125,17,149,49,72,74,47,88,58,105,79,155,2,110,61,77,89,141,166,17,36,172,115,155,136,16,22,105,45,133,27,128,150,108,108,123,144,58}

{42,116,85,33,83,113,70,165,21,103,41,12,10,81,67,165,152,81,34,140,152,77,120,165,5,101,116,24,25,118,163,157,163,52,23,40,109,67,86,134,60,104,5,40,168,158,5,112,63,123,94,10,132,165,155,157,157,63,150,163,92,153,36,5,141,134,99,27}

{3,1,124282144,298384579,62734295,1,5,2,14916836,1,58759470,3,1,12960800,2,6947874,225476130,1,5090334,1,190764231,250434604,1,7265070,252989186,194905230,3199658,267441,57005313,2,28310148,507968832,19105548,285849248,1,1,258233973,1,2,1,260469356,1,14535248,1,180774834,345243028,19936051,21913430,484031637,363227851,1,29599878,139119326,2356542,14554074,12,1,1,10078554,1,1,360262590,1,1,261056642,50459254,1,625305468}

Returns: "Solution exists"
198

"LGLLLLLLLLGGLLLLLLLLLLLGGLLLLLLLLLLLLLGLLLLLLLLLLLLLLLLLLLLGLGLLLLGLLLGLL"

{83,32,15,156,180,17,162,73,111,179,42,7,30,74,151,52,116,4,108,155,122,71,118,75,53,38,7,75,84,94,45,137,140,64,81,77,104,149,128,63,187,55,4,27,57,189,31,17,98,148,13,62,195,184,95,42,67,78,196,45,183,150,47,162,40,126,110,105,152,39,135,124,175}

{91,68,148,150,185,103,109,47,175,126,9,139,197,184,101,161,136,18,134,137,134,160,113,171,139,144,37,110,65,41,23,93,68,13,38,42,146,30,45,185,12,84,181,87,68,191,44,16,157,118,102,130,63,84,112,60,20,187,87,5,119,156,152,166,38,120,197,155,20,146,149,82,62}

{11151692,5,46184994,23340424,56772240,187773093,5463734,7003799,168949066,6520680,1,1,396605495,11513200,340620150,42827368,130457184,131783582,57666900,58344,30290700,6109628,11080706,1,1,588386265,7967271,269893418,479327478,287469794,741795605,1779492,10952760,11984286,59107647,166514480,26927775,68355320,5,19740,244795666,5528502,43554665,105693724,405321735,18751128,111287797,26651487,5818386,10197618,8399346,543881,2106540,142448950,3167660,47827120,4276016,596968446,51809692,1,342610326,2,40590308,3238608,15705673,38915320,1,8077784,7869808,48496266,8,21007914,4950842}

Returns: "Solution exists"
64

"GLLLLGGLLGGLLGLLLLGGGLGLLLGLGLLGLLGLGLLGGLLGGGLLLGGLLLGGLGLGLGGLLLLLLLLLLGLLLLGLLLLLLLG"

{4,2,24,3,25,39,48,25,34,1,42,59,51,55,38,44,10,38,31,15,0,6,53,36,51,62,63,2,50,5,16,22,42,59,8,27,16,7,30,27,15,50,44,37,52,4,59,16,23,30,16,47,12,24,54,21,10,28,13,11,27,3,18,16,5,47,48,17,55,41,7,41,55,60,60,27,10,18,1,14,37,13,37,8,19,41,30}

{31,32,34,55,0,25,23,28,8,43,33,46,48,22,19,20,42,42,45,20,27,56,58,32,27,53,42,33,43,47,49,3,54,53,31,1,11,1,2,49,26,41,57,17,46,5,26,20,43,35,8,39,8,41,13,8,15,9,62,9,18,43,16,33,48,23,53,51,9,33,60,34,62,26,40,20,45,51,15,5,44,52,55,15,4,30,44}

{1,11125004,470535888,147476054,2415414,3,1,2002794,68773889,2,1,363357820,175703775,1,2522148,20692834,139696566,23487252,1,1,1,10357092,1,70764761,438057555,52146012,1,814484,1,11361968,589898687,2,160087240,36776292,1,30156760,1,1977880,71735796,1,1,148649731,223388274,1,1,1,455537684,47656483,614225858,1,1,9421764,42976985,192597456,5,1,94487538,1,231864155,1,161346320,2,1,111412,502129200,51205964,44852700,192804846,737033079,5455036,5527020,151818697,238306561,1,30321540,32739985,16234890,193033776,1,347074320,341498278,446734120,44360327,70559389,93730423,120113271,1}

Returns: "Solution exists"
55

"LGGGGGLGGGGGGGGGGGGLLGLGGGGLGLGGGLGGGLGGGGGGGGGGGGGLGGGGGGGGGGGGGGGGLGGGGGGLGGGGGGGGGGGGGGGLLGGGGGGGGGLGGGGGGGGGLGGGGGGGGGLGGGGLGGGGGGGLGGGGGGGGGGLLGLLGGGGLGGGGLGGGGGLLGGGGGGLLLLGGGGGGGGGGLGGLG"

{35,13,6,7,48,39,54,6,7,6,6,50,15,41,25,34,15,24,20,48,45,50,16,53,46,44,33,46,53,28,25,4,14,19,51,24,9,51,6,10,44,9,22,26,7,44,33,20,21,13,51,37,39,11,46,26,25,23,13,1,44,1,38,37,39,26,6,44,18,46,6,16,18,28,17,25,27,47,38,29,28,39,38,43,5,10,34,42,32,32,0,20,48,39,35,14,10,28,53,23,42,20,26,36,14,17,14,28,18,45,45,21,30,45,24,52,33,41,13,5,16,19,2,22,48,1,6,52,46,14,47,21,21,5,2,16,39,54,46,21,45,8,3,5,47,21,4,14,11,5,24,42,53,9,33,21,11,22,1,47,54,42,41,0,13,17,44,48,27,11,36,21,26,47,16,28,16,47,17,44,29,23,15,40,48,5,26,10,35,51,43,35,53}

{47,35,13,21,41,45,37,52,45,9,5,17,47,44,13,49,46,49,47,2,5,43,21,52,12,38,37,32,9,7,30,30,29,12,1,18,0,30,54,49,28,19,37,45,44,32,34,45,31,48,26,36,31,18,49,7,19,4,44,51,53,39,47,9,38,24,26,19,38,16,23,3,51,34,0,14,24,38,41,1,54,29,45,2,33,38,37,25,3,40,2,9,34,5,10,5,22,54,24,1,29,44,21,17,45,52,17,20,29,5,50,33,47,26,41,1,29,20,21,28,25,3,13,34,38,50,50,38,52,53,18,46,25,6,47,40,7,20,10,46,42,30,38,13,22,17,8,38,18,34,21,16,52,47,48,6,29,18,21,45,43,12,19,15,47,36,40,44,47,2,39,13,7,5,22,9,20,42,4,26,18,43,32,14,10,30,30,31,31,54,52,27,12}

{400574616,2,1,1,1,2,339527386,1,1,1,3,1,1,1,2,1,2,1,3,470023851,186724134,1,20257973,1,3,1,1,40842060,1,4395000,4,1,1,87350718,1,1,1,377920556,11,1,2,1,1,2,1,14,1,1,1,1,1,41380202,1,1,1,1,2,1,2,1,1,1,3,1,1,1,33,2,3352800,1,1,1,1,3,1,13809508,1,3,1,1,1,1,1,1,1,1,1,1,2,141,1,511924155,94877637,2,4,1,1,1,1,1,1,1,24801282,1,1,5,1,15,1,2,1,1,304578924,2,1,7,1,1,1,6,31,2,562234310,3,3,1,1,7934325,1,1,1,1,1,3,1,291226617,1,1,4,1,19,2,1,2,3,1,67063878,12479655,1,66568482,14092123,1,1,1,1,25410099,1,1,1,1,535546748,21,1,1,1,1,89309682,119329098,3,1,1,1,1,3,483374847,272445000,588023655,172778571,3,2,1,1,2,1,1,2,2,1,425919208,1,1,9649224,1}

Returns: "Solution exists"
59

"GLLLLLGLLLLLLLLLLLLLLLLLGLLLLGLLGLLLLGLLLL"

{36,46,48,15,50,0,2,43,49,46,31,20,10,31,3,26,36,16,18,23,3,3,31,14,8,49,15,0,25,55,41,29,33,17,11,43,31,24,15,30,26,0}

{58,48,20,44,40,19,56,55,39,11,1,2,3,47,27,4,44,13,16,57,18,29,20,22,47,48,23,31,24,21,6,7,30,33,37,8,55,4,52,43,36,44}

{3,61905627,371205906,457343850,11938178,373811492,2,298036926,918225,5412015,144907155,3310382,34729058,388891467,31556238,29488168,484888818,25126492,1598085,266070670,1852830,7902986,617686002,2386446,1,290587605,39016050,298487412,46599355,1,227855073,95087083,1,477718206,9688590,31417678,59171409,1,11401050,107713964,112595592,146025428}

Returns: "Solution exists"
127

"LLGLGLLGLLLLGLLGGLLLLLLGLLGGLGLLLLLLLGLGLLGLLGLLLLLLLGGGLLLGLLLLGLG"

{67,67,32,76,88,46,8,90,100,15,75,110,123,50,40,41,11,58,50,95,62,89,12,107,11,114,15,12,51,9,75,24,30,29,47,61,70,82,61,103,59,91,9,48,101,39,111,103,4,78,98,31,49,31,17,41,66,102,57,16,91,83,43,6,28,101,32}

{27,79,31,94,76,23,1,44,66,108,0,15,21,87,92,13,96,16,87,0,36,66,119,16,52,26,104,89,76,54,86,66,75,0,90,44,86,30,73,4,43,12,8,107,64,108,58,93,9,53,94,33,125,73,47,112,39,27,107,33,113,99,86,19,94,30,1}

{21307280,13153200,1,6545804,2,255599046,187488,1,64283186,474610968,46072320,707432022,1,114188945,57067941,1,1,290459663,114188945,7841280,148998183,63932258,439893975,1,603188873,232727958,1,1,55014398,4,83578068,10325569,61081818,195740160,74701659,792465,137076948,2,957858,2,4480962,483368175,4,55932590,322869998,4,20902193,398084,341091116,22599080,11153684,36303675,4817010,1,1,1,7574196,24361952,354245185,1,13108986,31413860,46658268,45540285,19,82240014,1}

Returns: "Solution exists"
99

"LGLLGLLLLLGGGLGGLLGGGGLGGLGGLGGGGLLGGGGGGGLGGGGGGGGLGLGGGGLLLGLLLGLGGLLGGLLGLGLLLLLGGLGLGLLGLGGLLGLGGGLGLLLLGGGGLLGGGLLLGGLLLGGGGLLLGGGLLGLLLLLLGLGG"

{72,69,84,21,4,38,54,32,57,74,28,74,14,88,57,16,26,98,78,84,66,33,21,55,8,2,25,75,79,66,81,30,54,73,90,3,95,0,0,25,92,71,70,87,55,95,67,95,87,70,9,38,83,10,54,50,79,76,10,61,34,4,85,87,24,48,0,58,59,50,72,49,91,97,4,10,24,35,61,44,96,71,82,48,52,31,33,62,64,28,93,20,16,71,38,83,35,7,87,27,54,3,63,63,9,70,58,68,41,35,44,15,25,49,12,56,78,66,4,72,78,61,84,30,38,9,47,48,75,28,93,51,27,89,71,70,26,76,25,90,11,45,27,12,76,23,63,97}

{71,65,43,93,27,54,96,89,83,65,55,52,25,15,82,55,12,9,52,83,98,34,62,74,74,66,64,62,23,78,95,91,52,32,62,56,19,69,8,42,59,60,40,26,75,40,68,12,1,63,81,55,48,50,56,44,22,26,16,20,51,22,9,73,45,71,63,3,37,25,58,5,89,61,71,33,61,89,59,32,79,28,22,72,38,63,97,82,47,53,51,31,78,7,0,15,11,75,36,36,21,17,8,35,48,40,78,16,45,3,67,74,63,85,72,42,81,83,80,77,26,68,63,92,90,36,64,53,7,22,89,66,56,71,83,47,7,58,16,26,40,53,74,52,57,5,55,79}

{81795950,1,233338430,14655536,1,53725536,253541384,187316900,601997400,15739464,1,3,1,48992028,1,1,3284793,459020915,1,1,1,10,22933904,1,6,15066128,1,2,373612437,1,1,1,1,524049300,18644352,1,1,1,2,1,1,1,253007040,3,1,1,1,1,3,1,1,345070944,3,39092179,8,1,1,1,6344408,215806696,8838810,1,83214430,226122930,321040078,1,409716078,1,1,178928875,50581800,1,1,215957399,15040954,1,626795306,1,389158204,119659100,436198939,75757004,15693535,1,3,145577871,1,28376062,1,102957060,5293476,1,65868632,2,2,52647300,99811558,2,102740550,1,8,1,79380510,1,509808165,253007040,369605160,61673928,1,1,2,12,156208875,1189708,1,1,1,698101200,5868961,30911100,1,1,195617514,16984665,2676096,5,1,3,2,59579860,55843204,27420912,2,1,1,11188853,67775940,2,29039000,25515648,286883520,177975780,67066392,6707163,2,543789,1,1}

Returns: "Solution exists"
71

"GLGLGGGLGLGLGGGGGGGLLGLGGLGLGLGGGGGLLLGLLGLGLGLGGLLLLLGGGGGLLGLGGGGGGGGGGGLGLGGLLGLGLLLLGGLLGLLLGLGLLLGGGGLGLGLGLLGGLLLGGGGLGGLGGGGLGGGLGGLLLLLLGGLGGLGGL"

{17,67,6,29,58,67,60,65,64,49,0,46,36,1,19,20,28,20,11,33,23,65,61,70,14,46,66,13,13,11,45,65,11,52,49,21,69,53,58,3,29,16,33,64,38,34,32,64,24,21,9,3,56,7,51,54,54,27,26,9,7,0,39,67,22,64,15,46,27,41,43,6,5,38,53,39,4,36,40,38,25,17,32,32,41,69,38,34,13,46,52,37,53,16,23,57,24,28,56,67,49,51,46,34,23,0,28,48,2,13,52,64,50,38,39,59,15,67,33,46,30,59,65,22,46,68,63,7,48,42,8,36,55,36,15,14,66,64,42,32,10,7,41,25,53,20,62,19,26,2,43,43,9}

{15,31,69,31,49,6,42,11,56,31,50,50,52,20,18,31,4,38,1,43,43,50,12,41,31,57,32,35,3,67,43,38,60,58,40,42,24,19,57,59,4,8,27,59,49,22,64,60,21,45,62,53,37,33,0,52,18,43,69,47,56,25,27,68,11,25,54,61,11,36,24,56,3,20,28,63,36,7,23,43,61,35,36,28,22,23,4,60,54,70,69,55,8,64,41,53,7,3,22,63,16,68,50,11,5,66,56,9,6,62,37,48,1,3,4,25,25,69,49,55,0,37,57,37,10,57,13,59,41,59,15,33,32,15,53,16,4,47,65,18,25,32,54,9,20,70,67,34,13,10,46,35,51}

{1,36315384,1,9416932,1,1,22,226542369,1,32010972,1,558670635,1,3,2,4,1,1,1,24653070,148736862,1,3929757,1,124,19766970,1,12118092,12,72604344,1,1,1,1,1,423251796,121984078,60117642,2,120120,49938518,1,4006340,6,22043937,1,136910250,2,1,20621317,18259020,25738440,530345621,27152710,1,25,2,2,1,113104485,533622206,29,21874292,1,1,1,18,3,1,1,1,1,8,1,55844401,1,22526682,2,1,226708434,338169,1,24380166,1,102816721,61053494,141894358,728424554,6,1,21099550,458871,1,11623500,26234971,17352234,1,258727560,1,87260856,2228268,183934391,1,1,1,1,575052803,65,204510076,12,56266325,30,629692203,124018440,1,13,11067966,36086376,4794270,3,2,1,3,638071051,5,1,66218388,2,1,132,1,4453410,3,6,1,3202920,1,27,131808468,175163988,7790705,445942038,87144750,544765,1,1,9274824,13,1,275340460,9,3,166829585}

Returns: "Solution exists"
55

"GGGGGGGLGLGLLGGGGGLGGGGGGGGLGGGLGGLGGGLGGGGLLGGGLGGGGGGLLGGGGGGLLLGGGGGGGGLLGGGGLGGGGGGGLGGGLLGLGGGGGLGLGGGLGGGGLGLGGGGGGGLGLGGGGGLGLGGLGGLGLGGLGGLGGGGGGGGGLGLGGLGGGGGLGLGGGGGGGGGLLGGGGGGGGGGLGLGGG"

{13,48,30,2,47,49,12,10,18,8,40,5,20,22,13,20,38,16,52,29,12,45,25,14,31,38,43,48,25,8,41,32,40,11,49,33,5,24,0,46,47,19,43,39,39,18,45,43,29,40,10,7,46,14,47,37,23,23,53,22,25,32,41,37,41,35,47,19,0,25,31,50,16,35,3,31,12,35,9,8,0,15,38,12,25,41,7,45,16,44,40,15,1,24,41,23,22,29,53,44,8,12,45,46,32,36,4,29,12,44,38,43,34,24,27,9,12,44,53,37,31,51,39,53,10,47,29,38,0,11,30,34,49,15,19,46,13,4,39,22,47,17,23,20,10,6,25,23,10,8,38,4,38,27,43,50,51,51,48,12,28,14,50,6,23,5,22,32,19,54,46,36,27,47,24,48,38,50,28,49,4,44,39,28,28,51,9,12,46,41,40,16,49,34,43,39,31}

{8,32,44,16,54,8,29,11,36,14,18,34,3,1,8,37,21,7,31,43,45,9,22,32,23,9,25,19,28,33,26,13,36,19,26,2,27,23,10,45,20,36,48,4,29,36,17,32,0,22,35,52,14,25,46,43,20,44,1,44,47,21,30,43,19,52,50,6,52,44,41,41,44,36,11,39,14,19,44,10,1,10,45,24,38,8,4,29,13,14,43,28,19,16,4,34,10,18,35,20,29,13,13,23,46,11,32,51,5,37,37,11,37,20,6,10,28,37,51,5,15,10,16,12,40,52,32,10,53,46,16,21,40,37,2,19,23,31,23,24,52,48,29,28,43,32,39,52,38,47,43,34,33,50,44,31,5,6,54,9,14,37,33,42,15,19,5,24,20,34,45,39,30,12,33,4,7,45,19,9,46,1,19,22,17,47,48,14,31,23,17,14,16,37,3,36,32}

{1,2,1,3,1,2,1,2182698,1,20733468,1,35264988,4090611,1,1,1,2,2,42288350,24,1,1,1,4,215,1,451,23050698,1,1,1,59518724,4,1,17086340,1,1,1,1893290,1,7,1,66,89139490,51763800,1,5,4,29592600,4,7,2,1,1,1,27449664,3146955,5,1,4,1,2,1,27449664,11935244,72124710,1,1,2,11,2,1,92,1,87142842,77784850,1,1,1,7,101203510,1,1,1,1,2,1,5,847694532,4,8,2,7143403,3780924,1,90834060,1,1,1,1,6,429960161,1,57635695,1,2,1,11829600,1,8,2,6,126049344,7,476647528,1,1,8,1,1,10,1,17198940,1,3219664,1,4,1,1,1,284194716,2,42072080,2,1,17708587,1,1,20343730,4,43995014,2,5,9274692,1,1,1141030,17,1,7,2,1,1,1,88,1,7219872,1,480082614,1,4,19334464,1,1,5,1,3,6105764,1,30592812,1,2,1,1,1,1,2,1,1,173668620,50508107,1,1,4,2,1,3,1,13,1,2,27091884,4,126049344,3,2,2}

Returns: "Solution exists"
155

"LLGLLLLLLGGLLLGLLGGLGGLGGLLGLGLGGGLLLLGGGLLLLGLLGGLGGGGGLLLLLLGGGGLLLLLLGGLLGLLLGLLGLLLGLLLGLGLLLLGGLGLLGLLGGGLLLLGGLLLLGGLLLGLLLLGLLGLLLGLLGLLLLLGLGGLGGGLLLGLLGLGLLGLLLGLGGLLLGGLLGLLLLLLLLLGGLGLLLLL"

{50,6,31,134,49,9,30,13,88,107,0,109,90,145,75,33,28,5,26,46,12,63,56,69,139,95,142,26,13,102,123,127,123,69,7,1,66,61,68,81,25,67,34,57,153,63,89,7,148,17,147,58,81,81,13,122,45,150,113,107,7,40,34,29,119,69,138,134,74,121,127,12,153,43,150,83,105,32,118,129,56,147,90,72,88,72,61,144,12,18,18,89,88,125,41,60,19,11,91,63,154,78,151,152,143,97,128,37,151,134,29,142,34,10,53,123,7,19,17,77,57,2,89,59,87,113,24,9,129,75,71,15,111,15,139,68,146,32,39,89,151,53,23,6,135,74,26,38,1,9,152,48,125,54,15,149,87,18,10,64,61,123,102,135,90,143,143,100,85,42,78,11,67,15,143,85,50,113,45,60,0,133,51,44,71,18,95,28,36,129,74,55,20,147,129,20,46,97,30}

{118,36,139,112,28,3,88,103,137,5,80,13,148,72,114,126,33,97,68,142,49,120,83,30,122,70,106,120,114,69,31,106,121,140,125,29,81,57,13,31,2,72,24,19,94,46,142,82,17,28,154,37,79,93,130,9,130,127,91,36,126,49,141,13,151,32,128,150,129,132,98,119,128,61,83,65,69,132,10,141,59,47,108,132,130,81,94,55,108,50,76,77,37,86,59,29,101,57,86,48,72,51,10,128,67,61,126,41,18,106,45,134,76,100,39,10,26,116,56,58,18,98,26,3,33,118,138,5,131,9,61,89,148,117,89,47,68,37,94,18,33,102,132,53,122,101,62,53,17,2,56,102,146,126,100,3,147,102,102,49,34,49,0,80,3,95,11,89,143,77,51,125,35,141,140,54,55,103,125,77,6,115,20,83,86,80,65,73,135,145,72,91,128,96,85,118,89,147,151}

{29463120,623014453,1,3259750,19402110,2413125,225670342,98823300,207590115,1,1,34520556,147553938,59524762,1,218513752,15796872,1,28,165284987,2,1,204591468,17,1,297651520,737200296,1,7583964,1,40580658,1,1,1,247399152,91427226,297441290,26230848,4,1,6,220197450,55029198,578874220,23425767,7,494989282,374266256,2,2,248757165,2,1,1,1,1,358345308,417592215,2441975,252387899,313405456,116341590,1,3,1,1,55512630,3012894,81744115,60233824,374104270,14335512,1,2,201863898,176295894,1,44073184,30341160,279270755,1,4974705,221688939,2,220789559,404825542,4971456,1,148248348,11874640,5432058,1,326397658,1,76179402,29174910,539485740,60346564,1,1,294921682,16,32306680,236863935,2,4294080,200863170,2,1,2,63678228,3522418,17677674,75150040,7,2,5311488,171701740,169949452,33815848,1,2,178289664,8263125,178201832,1,53859462,2768931,551672455,903771,2,477113886,104112666,1,17527174,934332,17321500,2,543753,16300106,1,14051135,208146208,507523205,1476884,314942535,3,343245770,2,9,460956188,1,1,1,695270772,108403750,404945370,1,51638440,6230470,14,78248070,7,6795323,181813125,1,14792128,200343724,25776192,1,5148576,1,10,340413363,125053760,65854830,16,25,60705084,24062070,1,50459640,84810912,52677678,26672906,53225518,309577017,6552,7300837,108158110,1,1,77542155,1,63591870,85335732,91814534,9335790,46709642}

Returns: "Solution exists"
118

"LLLLLLLLLLLLLLLLLLLLLLLLLLLLGLLLLLGLLLLLLLLLLLLLGLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLGLLLLLLLLLLLGLLGLLLLGLLLLLLLLLLLLLLLLLLLLGLLLLLLLLLLLLLLLLLLLLLGLLLLL"

{53,73,98,101,22,88,62,8,86,42,113,115,44,88,2,27,99,36,86,6,45,32,58,59,14,54,94,56,107,110,0,87,103,110,20,54,97,79,91,12,107,45,36,53,74,97,42,73,109,32,63,16,63,47,4,59,54,87,104,110,15,21,45,32,92,15,44,21,113,11,15,21,86,4,17,66,89,92,14,77,101,77,63,26,55,104,36,20,82,83,36,93,87,59,87,49,60,43,4,34,96,113,114,114,95,2,77,110,29,16,58,68,49,29,38,98,59,58,19,12,114,90,108,45,1,97,65,84,116,3,72,67,80,57,35,60,114,102,76,79,68,59,103,50,25,51,19,35,23,47,47,9,2,116,77,107,1,7,24,3,107,92,51,40,43,94,31,69,47,73,18,27,108,93,56,46,92}

{79,59,26,5,34,71,67,98,16,94,73,16,50,62,108,36,23,23,111,10,41,77,103,39,67,24,32,11,72,53,74,78,13,113,1,93,53,12,104,6,28,58,110,13,72,63,99,107,76,72,24,113,67,20,105,52,36,100,64,1,92,75,19,35,103,79,24,3,44,43,7,94,108,104,38,64,54,77,1,112,66,88,78,96,56,78,21,54,73,66,111,25,91,8,61,36,47,77,49,88,60,66,20,24,62,53,70,8,91,11,47,65,102,5,29,104,67,5,92,16,96,54,23,100,70,20,68,100,74,111,80,57,5,10,16,29,37,43,83,2,93,34,48,73,61,11,7,3,75,46,21,27,37,8,50,73,88,112,97,110,87,98,89,1,7,46,93,35,97,94,34,64,92,54,63,93,75}

{220466328,166260,8473359,7185660,90043086,1939938,6594861,97078287,287128639,146600151,4273860,350159186,188411564,176358,144685912,56688594,5663368,51880216,192409791,1233648,600143202,418492502,151811687,333268,41866923,7332492,219376007,23150990,1,294222171,48903645,91426149,23402540,34021324,1,89743884,338242875,70805320,74663160,9088560,9523650,317163377,128728282,35978460,505830811,47972000,53708136,3589260,5,513806827,27561120,41373412,106631840,90422878,374967320,604180,28294692,439215012,14602185,468707966,340074508,4399350,551743894,185313311,149343604,326550344,29936724,207150727,5088428,1099010,368936507,231200507,347286268,6460090,26588856,77219415,115805460,114198572,101361138,129371914,4613910,26000702,40317920,55601337,527174296,55982485,193982006,41385372,207208860,17026660,104904654,184847647,203223240,1544892,1409922,28797356,409641622,165418,17546620,36519938,614418607,10584140,7579579,112805196,72784803,305605272,125311654,442179897,55,22958930,288616666,43675156,166975900,7676020,34529880,63603605,676396,291179540,203959652,229825990,1,6665124,112279016,1,200675306,108227875,43675156,486878396,1,112026243,487718608,26240186,124551440,1738442,157611871,44592955,33839365,21725275,202253100,36853768,87142612,718148,35949448,158250180,3066402,5376710,442539266,47032517,1176600,2,548276326,124356639,62366360,29625576,243329878,3589260,41637778,283503262,230104500,137467169,17842806,64898324,150049010,341121530,18668441,106467798,171054612,72869437,418278250,77095740,313344870,3,108700516,89743884,255854240,141664434,1139100}

Returns: "Solution exists"
20

"LLLLGLLGLLLLLLLLLGLGLGGLGGLLLLLLLGLLLLLLLGGLLLLLGLLGLLLLLLGLLGLLLLGLGGLLLLLLLGGLLLLLLGLLLLGLLLLLLGLGLLLLLGLGLGLLLLLLLLLLLGLLLLL"

{18,15,16,12,0,10,15,15,17,16,5,0,5,16,5,19,13,16,5,18,14,17,15,12,2,13,16,11,4,11,6,4,7,9,10,15,16,19,14,6,5,16,10,13,4,1,14,5,5,7,11,1,0,10,17,3,7,15,7,2,16,6,1,11,11,5,12,2,19,1,8,15,14,3,3,17,14,7,4,14,5,2,4,2,10,3,12,15,1,15,8,16,17,19,2,5,14,11,15,16,13,11,13,0,15,12,15,5,0,10,12,9,18,1,17,8,17,9,8,2,11,19,8,6,4,12,11}

{9,10,15,8,3,1,18,9,14,10,11,6,16,5,14,12,11,8,14,12,4,9,16,5,14,6,0,2,3,9,9,17,15,11,15,16,12,17,5,7,0,13,0,6,12,9,19,16,16,0,18,17,16,12,8,6,11,19,13,16,11,19,5,14,2,1,4,7,16,16,2,18,3,18,8,4,2,5,8,3,17,8,16,5,16,1,6,1,8,6,15,0,13,7,15,10,16,17,0,4,1,9,6,14,16,6,1,19,1,15,15,6,1,14,16,7,14,0,3,11,6,7,15,2,17,0,15}

{85471404,49841820,49868280,173893514,1,33386108,10751580,4,9533169,127803016,467463162,16638512,562527768,562527768,11118231,70417797,389656002,2,11118231,1,3441006,1,4,183537867,1,1,3754256,255053374,55972158,219626684,292827788,18241694,72403380,2,49841820,49868280,166883464,67841187,11118231,308551683,33031344,1,1,259763757,18934514,34520444,4265721,562527768,1,32704656,137459316,1,3754256,41698729,167530694,24845007,462839838,28056420,3,306921736,212522552,1,146949684,25202754,255053374,146949684,1,668426034,1,4,319814186,10751580,9750411,106360188,514045158,18241694,36397422,3,2,9750411,176822157,319814186,29016328,675102966,127803016,1,92451491,1861020,69613964,110505780,2,3754256,147390897,78338487,119696220,140557323,30328056,1,2928240,2,122490564,219626684,259763757,1780848,49868280,1,1861020,3,1961456,1,65082780,292827788,21605556,7922628,160777144,580359882,9533169,7759504,514045158,255053374,235470026,3,103926060,340062118,18241694,9799312,82881540}

Returns: "Solution exists"
76

"GGLLLGLLLLLGLLLLLGLLLLLLLLLLLLLLLLLLLLLLLLLLGLLGLLLLLLLL"

{68,26,67,17,2,55,32,37,27,59,3,5,5,42,32,64,58,62,27,16,7,50,11,19,49,46,14,20,62,51,48,61,53,56,5,28,69,34,23,63,7,64,3,13,43,35,75,50,8,7,45,41,43,61,46,35}

{22,73,59,74,46,49,19,30,26,36,68,51,14,23,33,24,50,0,21,18,60,40,69,26,59,67,23,70,6,73,38,30,59,42,6,44,20,21,14,46,41,41,67,47,16,72,64,51,46,73,19,75,55,60,13,68}

{1,45,162067989,377771618,3955046,1,212867270,239683836,301410,70776384,65349822,1,190075520,21912510,446803070,244928238,55214,1,1038190,178197270,157512780,451516,362195418,9105030,40466217,33851234,28327296,381502232,28034622,55846620,3893328,108900876,664995585,111334110,471716910,16752420,254053176,31146754,28327296,44189036,97778520,110094376,210532558,262467777,2,20275926,305055202,2,40615824,9738810,27219874,112618856,48197218,391116796,49209446,8851359}

Returns: "Solution exists"
95

"GLLLLLLLGLLLGLLLLLLLLLLLLGLLLLLLLLLLLLGLGLLLLLLLGLLLLLLLLLLLLLLLLLLLLGLGLLLLLLLLLGLGLLLLLL"

{6,29,88,53,64,88,11,5,36,45,81,31,17,34,65,23,76,61,82,8,62,91,76,55,71,70,33,78,21,15,33,1,74,9,73,41,45,7,12,31,34,35,26,77,67,23,41,69,70,80,71,25,58,12,48,55,54,24,49,89,55,24,27,88,87,45,78,86,60,69,76,2,16,74,69,57,3,67,5,53,38,73,84,72,34,93,15,83,39,85}

{58,6,57,90,9,19,40,46,83,80,62,17,82,33,60,0,56,17,71,44,60,27,39,85,3,40,49,89,68,77,20,72,69,66,49,50,92,49,94,10,39,24,32,4,48,92,29,23,57,64,65,52,23,62,2,37,70,72,52,80,54,14,37,42,78,13,2,90,20,59,75,76,83,83,79,89,81,52,25,22,18,57,94,8,27,71,73,46,62,22}

{4,10088764,391447742,494863110,19982571,320291811,3871728,36503332,1,102632552,67513131,303014824,1,384224442,350211540,12863994,138969058,108304292,137281356,186329744,367722117,75190458,174088350,1889496,155521396,1,3431736,116066288,9394840,216338714,285328050,290562630,132066870,10044090,81576,195849904,313048098,1721808,1,218311464,1,282782677,257890230,24716358,2120796,3221262,21879214,684255,1,232854312,61033980,412794171,322828,3542553,311796,2272872,117629435,310694619,20557944,113263256,9481710,184749767,12861016,244649832,4659824,257239884,77463984,26574345,315564175,1,148594734,1,12599166,137111334,165063795,253648442,245758566,509717609,16714053,310232684,183338232,1,154505262,1,81786986,125796144,9550057,10732188,18863775,69818616}

Returns: "Solution exists"
38

"LLGGLGGGGGGGGLLLGGGLLGLGLLLLGGGGGGGLLGLLGLLGGLLLGLLGGLLLGLGGLGLLGLGGGGGGLLGLGGGGGLGLLLLGLGGLGLGLGGGGLGLGGLLGGLLGLGGGGGLLLGGGGGGLGGLGGLGGGLGGLLLGGGGGGGGGLLGGGGGLLLLGLGGLGG"

{18,23,8,10,17,19,0,35,18,9,0,13,0,25,2,7,30,35,29,36,0,26,7,36,13,6,2,12,7,7,33,34,27,11,14,37,29,24,16,11,4,27,36,26,7,14,32,2,13,4,22,22,34,23,22,29,14,30,22,33,23,32,30,2,15,37,11,4,12,7,21,25,25,24,29,33,4,32,1,14,16,26,32,9,29,14,8,21,19,22,9,5,21,27,35,7,20,28,34,29,11,25,10,6,7,2,2,17,19,3,28,33,28,16,17,36,17,26,11,2,32,6,31,26,4,35,37,1,21,25,14,18,34,1,14,16,33,18,18,6,31,19,22,36,9,14,23,25,13,19,18,37,23,5,7,15,12,21,23,26,22,35,0,18,26,20,11,6,14,24}

{7,17,25,31,4,17,2,3,2,32,29,0,25,8,30,11,33,2,32,37,9,28,3,28,21,18,5,31,24,2,20,37,30,9,9,0,26,25,15,1,34,7,4,17,37,24,34,25,37,20,7,6,10,8,8,31,1,14,33,13,0,4,26,10,33,32,8,21,25,32,15,23,8,11,32,34,30,34,6,25,18,33,2,13,7,35,14,25,21,13,19,6,1,30,24,13,36,36,8,22,12,32,15,21,30,22,31,30,15,34,36,34,25,15,1,5,36,14,18,18,7,27,14,34,28,36,16,16,12,21,32,25,22,30,4,22,13,1,30,20,29,12,6,18,27,2,35,18,23,23,19,21,33,30,23,28,27,7,8,21,12,28,19,8,5,21,17,26,25,37}

{450549802,2959531,1,5,5121757,1,2,1,1,10,2,5,2,396102330,4689732,201777392,1,1,6,204440166,36085630,6,154513158,3,509949095,60757013,101264604,56483160,1,2,660,2,1,2,2,183451030,71429292,1,323156665,707504016,1,195349860,425558583,1,2,586358198,147254190,66588084,1,37352040,113558674,1,1,247635895,102213605,503074410,1,605674774,1,5,441313490,1,496864764,131144460,1,99304170,1,1,6,2,1,1,396102330,477593392,6,19956420,1,2,1,2,1,120780,6,46540970,149263446,362568598,445959670,1,204155432,1,2,60164804,1,477612180,1,292856530,3,3,1,1,5972016,6,432246165,1,1,103097724,433150980,1,13,185110914,8812854,2,7663122,1,1,1,1,2,642219568,409045452,122913930,1,1,2,1,1,1,568003245,83,1,215103030,1,1,606764931,1,1,5,789894723,1,1,503074410,1735032,15313481,1,10,2,1,1,1,1,1,1,32374980,545407604,1,1,12,1,1,707746644,13444008,21646254,94033160,1,160130124,1,1,54809964,2,1}

Returns: "Solution exists"
30

"LLLLLGLLLLLLLLLLLLLLLLGLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLGLLLLLLLLLLLLLLLLLLLLLLLLLLLLLGGLLLLLLLLLGLGLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL"

{3,1,3,11,7,3,19,1,1,16,11,22,28,0,25,1,17,8,4,15,24,0,17,0,20,9,17,4,3,24,17,26,12,22,4,3,22,4,22,23,1,17,29,20,24,19,4,29,7,4,21,28,5,5,14,23,22,28,15,15,21,13,3,16,4,28,12,13,16,22,10,6,21,11,23,23,8,28,6,17,20,5,22,26,11,12,23,15,4,16,11,10,8,4,1,12,9,19,10,18,7,14,5,13,13,0,27,26,10,20,29,5,28,27,1,9,27,2,29,21,21,4,5,21,1,16,28,5,16,11,12,21,21,29,27,22,20,3,1,14,6,25,8,0,13,6,10,17,11,13,27,7,4,18,18,23,8,8,28,5,15,0,14}

{24,17,9,13,27,14,5,17,9,3,15,29,16,28,20,8,18,0,5,23,11,4,6,16,13,8,20,0,12,28,6,0,19,12,0,13,15,19,0,22,20,7,22,6,15,15,13,20,1,15,29,0,29,15,22,20,10,13,11,21,17,20,29,5,22,16,18,27,8,11,25,9,20,24,25,3,11,6,14,9,18,26,27,1,9,0,0,16,7,8,21,13,15,15,3,29,18,2,12,6,24,4,29,18,4,11,16,11,4,8,21,15,18,0,27,17,4,10,20,24,13,2,21,13,13,22,10,15,17,5,7,9,9,7,17,15,9,28,19,20,11,26,22,26,7,1,26,16,17,22,29,25,15,23,15,10,12,25,6,23,11,15,22}

{88680128,49632108,390891581,176412948,287559930,1,256330170,49632108,254709876,228256197,638445702,880950,285262302,474971942,200464548,40805328,6607302,222582224,8420760,79825413,52112064,448545816,1,202826949,41530276,228928912,126444756,448545816,362496568,55413824,213676611,272439025,241167752,1314600,448545816,300205396,27580350,335829672,19295850,1063650,38554836,254281686,880950,221315516,112632896,722815306,88576632,336053060,155068332,641124936,95465615,474971942,54706995,244677105,14520450,34778316,274050,187590268,638445702,597758119,251442093,41530276,607297565,34269885,4271400,285262302,151985288,181377420,133680144,4253550,32003559,365526439,260431108,52112064,17744721,62849559,147197136,499835794,534878062,208837149,99230924,27618975,124950,199781700,459407706,322112056,1,289908879,280862856,133680144,553131642,79562196,318145904,641124936,278697156,73529960,327781142,393149666,13724424,335376938,49342016,337538232,54706995,125868236,88576632,446671362,91938210,360336450,4954824,34652432,95465615,244677105,224110666,27014190,56127540,208837149,6,7,336053060,97582016,330340612,348717096,211981455,330340612,48904404,3862950,141661926,1,40649271,3,201694696,430130057,430130057,675806110,92038170,27580350,216303044,534521126,185416284,158259076,470053734,259689525,6358800,272439025,167035612,260612364,81255825,40649271,89518998,7620900,20966610,403136238,641124936,52702338,455522314,5552253,26537392,212165904,499835794,9436095,638445702,482708659,14520450}

Returns: "Solution exists"
156

"GGLLLLLLLGGLGLLLLGLGLLLLLLGGLLGGLLLLGLGLLLGLLLGLLLLLLLLLLLLLLLLLLGLLLLLGLLLLLLLGGGGLLLGLLLLLGLLGLLLLGGLLGLLLLLLLLLLLGLLLLGLGLLGLGGGLLLLLLLGLLLGGLGLLGLGLLLGLLLLLGLLLLLLLLLLLGGLGLL"

{69,26,140,13,47,154,119,76,152,27,29,105,152,92,104,49,109,88,84,89,75,68,65,48,98,128,12,76,140,75,148,147,108,70,4,23,8,84,142,101,146,127,78,70,126,141,80,127,147,153,73,20,140,113,92,89,21,121,4,18,37,32,3,123,18,52,65,109,82,136,109,98,119,10,9,28,120,104,36,24,12,107,136,120,56,92,131,6,88,137,89,2,34,32,94,18,122,151,148,151,3,131,25,91,31,18,98,30,102,69,43,34,84,99,14,31,149,67,29,138,95,92,108,144,122,10,102,33,103,84,11,2,34,116,90,144,79,125,13,74,135,124,6,113,66,98,83,94,3,69,145,16,90,129,32,19,33,0,98,1,103,116,118,92,114,45,51,127,127,3,137,152,6,65,2,109,90,46}

{70,10,73,69,148,155,52,19,55,14,113,144,125,58,7,107,122,50,107,58,127,115,76,4,58,26,90,80,151,54,95,61,13,2,58,151,107,48,66,113,77,117,133,60,114,111,62,34,72,74,83,46,135,98,58,24,87,3,28,71,149,50,138,68,29,134,115,146,26,44,6,0,95,4,151,7,69,112,149,144,62,139,19,13,79,93,64,43,77,58,108,140,129,139,100,46,37,96,137,113,133,39,100,125,22,52,92,26,96,137,145,151,134,40,128,93,99,79,63,20,128,15,143,104,93,5,39,2,143,1,55,12,137,148,50,17,13,100,107,104,6,17,130,101,112,107,138,105,100,34,26,150,6,77,81,62,155,114,121,47,102,65,131,143,137,139,132,113,92,86,50,29,107,38,87,31,28,114}

{1,4,1799805,307553074,569219970,17688840,52836592,2275790,262589899,1,1,15650536,1,13108579,115632,172203384,160948405,1,424959784,1,19125235,651486,1593053,366244270,52272814,446618532,14,1,67918620,23875421,1,1,12204324,101873296,470670662,87684476,1,297565615,1,25437086,7276080,215862085,1,307792880,8260725,13515054,1,199580955,103261626,30917016,62449440,519861630,62461560,138831638,13108579,8799298,66516572,294939470,194147058,3022603,433552488,456460290,32384436,192721404,366781,1,2618,80846960,45801628,240938005,191763025,1,71295376,13813940,65097956,38904912,385032618,939246,55255389,2,1,1,55,264242106,2613989,6748359,1,232553325,151736088,137868874,1844964,6520290,1,189821830,522166,1,190491720,11568964,99269482,68915396,2,17,52910164,30598050,1,2376103,10403294,290373428,341572462,76671218,73914789,270115692,56899035,8582560,3473106,179392722,1,707280,17486348,14583516,141958437,1,31941756,22,134620755,14278460,133,121590938,7,1,1,3327842,130472706,425257902,1662570,6866376,60549062,67383330,2,130152,338638200,126791358,1,1,735543466,2,8756256,751547,2,381305337,1,156138766,10209150,182295624,22,3483810,433656145,32835975,229961930,24435840,7,28722078,115212825,13093969,11908650,26456250,118115412,101839330,3815645,99783516,6684210,8418943,1,1,70305116,1,16321410,13061850}

Returns: "Solution exists"
94

"LGLGLGGLLLLLLLLLLLLLLGLGGLLLGLGLGLGGGLGGLGLLLLLLLGGLLGLGLLLLLLLLGLLLGGGLGGGGLGGGGLLLLGLGGGLGLGGLLLLLLGGLGLGGGGGGLGLGGLLGLLLLGGLGGLLGGLGLGGGLLLGLGLGGLLGLGGGGLGLLLLGGLGLGGGGLLLLLLGGGGG"

{26,75,49,18,5,25,63,86,50,12,28,51,84,7,35,40,89,82,23,8,83,48,25,32,34,5,36,73,40,56,85,90,78,85,45,60,89,13,74,59,2,44,60,27,41,41,18,37,79,72,36,67,60,31,80,76,21,70,31,56,29,75,6,71,12,20,79,15,18,61,80,42,73,15,84,85,0,56,61,21,67,39,3,42,82,2,1,56,8,47,81,53,11,44,69,52,47,31,87,20,20,35,56,82,7,87,21,60,42,54,13,86,16,82,24,89,19,21,46,84,13,80,16,25,63,61,42,11,39,23,71,60,66,1,7,83,55,81,14,27,90,71,16,88,16,70,20,63,46,88,88,73,52,34,0,35,42,41,73,92,21,58,6,46,77,42,75,84,76,23,32,58,44,32,66,5,85,86,89,68,76,3}

{66,5,36,31,8,15,71,26,31,72,85,54,75,64,92,77,4,46,85,77,13,30,39,31,44,91,5,72,70,4,47,72,59,67,38,15,26,48,68,32,78,54,9,4,68,11,92,93,20,24,67,56,91,21,28,61,19,76,93,65,81,77,45,40,23,84,86,84,22,33,48,9,35,26,70,72,2,89,49,84,73,0,93,34,61,12,46,61,92,45,29,34,46,11,28,63,53,89,41,38,88,63,13,30,24,44,3,85,39,66,57,80,80,7,90,72,89,42,1,27,2,76,79,86,55,63,69,38,20,73,85,58,24,47,90,48,38,10,61,63,56,36,60,7,52,51,87,29,5,61,21,16,2,48,17,53,33,52,48,80,31,2,60,62,72,32,87,29,47,6,22,31,5,93,29,66,63,7,48,34,46,23}

{25121564,1,35134708,3,16264280,2,1,2294444,161820,774817642,75696474,331529020,26504370,30508932,114671628,3311862,111164490,28959035,85848,7856760,718187370,1,59649696,1,1,40641889,11848036,291977084,2,369195815,3,161307188,1,219148482,1,1,2,339798795,1,1,58386027,1,128549169,357479710,63184493,134357323,5364828,612981597,557235,1,1,231350627,379539631,1,333079299,2,25867040,6377312,1783413,438458264,32695145,3246855,223807210,31957810,1,348066,12505815,44672274,7,2,1,7172802,2,2,2,2,50656767,1,2,2,1,235449504,215096007,19850558,168667170,1,28236562,1,4,1,32695145,1,26637503,1,1,81631977,582333096,197838,54143173,1599786,1144665,1,1,141483300,1,85413237,1,1,2,1,5,1,274595814,1,156363844,2,2,22716512,28236562,2,42586215,8715186,185933790,21003198,1,1,3277638,1,1,44296,144761190,1,13,704570682,1,376628686,2,1,2,339753806,277231052,55228060,1,144133965,1,77574176,61,1,1581571,39819330,1,225400196,21,1,1,2,23824892,1,42236236,18833436,2246688,15393273,1,1,18429834,1,136855635,1,1,2,1,800487,12584559,529222683,61904570,43378166,332381994,1,1,1,1,1}

Returns: "Solution exists"
166

"LLLLLLLLLLLLLLLLLLLLGLLLLLLLLLLLLLLLLLLLGLLLLLLLLGLGLLLLLLLLLGLLGLLLLLLLLLLLLLLLGLLLLLLLLLLLLGLLLGG"

{17,137,70,54,22,50,66,39,45,40,41,13,2,81,60,161,107,46,52,132,139,62,155,44,6,129,15,131,63,14,112,23,117,61,138,164,92,5,30,28,94,113,160,11,92,91,43,65,4,83,38,20,42,19,110,10,118,5,128,119,82,48,90,131,33,100,100,138,119,86,109,66,109,28,7,143,91,105,32,140,83,157,119,67,103,132,116,138,100,26,100,0,44,116,49,15,139,128,26}

{5,15,13,113,0,119,136,117,26,119,138,123,67,139,4,96,58,33,149,46,20,83,27,119,142,101,39,63,117,165,85,153,16,68,14,73,117,21,23,117,8,5,124,127,159,157,41,94,151,114,65,14,64,11,79,134,146,50,126,51,133,147,116,123,133,18,90,155,41,75,122,158,113,134,21,119,80,52,21,144,66,95,82,38,116,17,96,127,108,114,109,63,11,115,5,80,132,88,106}

{5791212,20059250,346539669,270520461,470245387,1001700,241984822,11457494,17340840,695520,17754360,53490866,597117656,82980734,39451221,1452620,526716966,4043880,67078528,76213320,1,747246775,4627350,11588535,16853646,259434246,175750,191852384,120735584,2546223,213194820,305816269,9232817,2703299,10425480,3822864,232393182,10421046,382976204,48690275,1,3826638,261499322,114143701,110678358,220490259,344366298,190677184,94468695,11,11953328,3,2281320,176348581,337599920,127176840,61158348,3195900,33462078,11227545,32704020,2,15076110,48144382,1,41217672,291520488,3701880,21510090,158467386,51147060,26078068,177624540,174284775,498395598,2709315,252220465,154302951,15640210,61181820,1,138256404,134190,3889712,91878540,129778852,773670,15801240,9537384,24471513,36984120,263917408,138191747,5,5710410,12784625,122454806,3,9}

Returns: "Solution exists"
21

"GGGGGGLGG"

{1,19,17,18,7,5,19,10,0}

{5,13,2,7,18,6,18,20,15}

{1,8,1,2,2,1,20734416,6,8}

Returns: "Solution exists"
162

"LLLLLLLGLLLGLLLLLLLLLLLLLGLLLLLLLLLLLLLLGLLLLLLGLLLLLLLGLLLLLLLLGLLLLLLGLLLLLGLGLLLLL"

{152,157,46,123,37,26,156,16,27,24,145,46,21,52,161,89,133,36,133,158,142,45,103,69,101,122,12,138,123,85,103,76,89,130,50,40,52,152,51,117,130,67,94,112,58,54,93,150,97,119,30,25,150,112,33,18,160,76,7,160,2,159,50,87,152,0,146,52,87,95,106,110,46,38,161,147,83,64,38,117,79,123,77,89,120}

{90,0,96,56,161,145,46,34,12,119,11,29,68,127,30,18,40,103,42,89,69,90,115,41,119,109,37,122,17,88,148,135,71,122,93,34,96,99,45,27,84,22,143,123,105,26,132,11,9,147,161,89,129,151,146,16,65,108,68,47,19,44,117,134,14,97,156,119,130,111,19,14,70,36,71,105,1,35,34,39,67,133,157,76,113}

{70646933,45486057,88517124,249909414,96938028,20264760,335232006,13,349921917,69481230,194945688,6,194710816,48620186,78144660,127363320,31997485,174494606,370707514,68141160,269062060,282123030,181084948,444536655,44092230,1,238805604,46245276,1783094,17675868,109274418,33976800,27480430,16529616,6409740,2109445,42088572,37845127,84228570,90602892,2,112855671,206503895,75568026,78078,2571970,3532434,1,454762935,408283330,78144660,108301435,1156164,24415026,761542958,8,480108768,106822430,317898784,14241824,353634178,217639157,6105420,113171112,1,94293903,697298426,64290590,3518352,1781274,4595224,5,26716182,118789710,66984588,376674298,87128910,1,240476730,12,12844647,727226098,72049219,15588430,270344880}

Returns: "Solution exists"
140

"LLLLLLLLLLLLGGLLLLLGLLLGLLLLGLLGLGLLGGLLLGGLGLLGLLLLLLLGLLGLLLLLLLLLLLLGLLLGLLLLGLGLGLGLLLLLGGGLGLLLGLGLGGGLGLLLGLGGLLLLLLGGLLLGLGGGLGLLLLLGLGGGLLLLG"

{8,60,110,10,2,82,83,85,3,134,112,127,103,78,105,19,133,88,20,10,9,115,132,65,55,21,91,21,51,134,27,14,62,46,53,51,9,12,13,111,134,96,93,137,57,108,99,56,18,93,25,121,115,137,17,9,65,50,25,123,133,58,32,78,26,78,11,125,17,139,107,65,94,100,111,104,107,83,100,85,66,132,19,83,122,126,18,67,45,108,118,46,127,129,103,79,17,63,41,49,139,13,66,63,123,43,40,36,127,135,77,17,137,73,52,10,109,15,86,28,123,57,137,116,66,47,41,48,59,43,131,68,91,29,118,74,8,106,5,47,42,115,33,66,100,112,11,73,128}

{130,50,67,120,56,104,12,6,15,51,7,101,90,21,58,78,71,16,121,70,125,60,35,4,21,116,89,75,77,27,87,116,132,66,50,53,102,15,72,35,47,49,15,39,23,104,73,51,1,91,17,92,48,55,68,57,131,57,120,64,76,35,42,133,60,13,51,4,79,35,36,1,22,56,19,27,105,6,39,15,10,116,52,6,13,14,80,125,82,15,76,97,5,18,134,103,40,14,51,56,59,59,88,129,55,99,50,121,19,39,27,31,20,6,59,82,110,3,134,26,24,113,112,85,80,96,128,121,49,27,16,96,131,76,125,121,82,83,109,4,97,23,46,32,112,26,68,88,17}

{10904667,13872210,12660414,4821840,85109280,6041517,433506504,45895512,330843032,27840876,77469101,20988240,1,3,72615044,88106025,290132128,3390534,204207655,1,414821030,240717070,48721549,5,8346660,2269530,119671566,6818610,1,1525740,132160,9,188545328,4,4972944,26958064,1,1,9802822,40088965,5937456,18,8,294898126,53,60668882,4293996,2,290296080,6708408,13177920,308002045,511674545,60205908,120425010,1,330050,13367766,240,3337004,516111136,6540764,453079968,391862688,103336090,115984554,15890616,52724230,282031020,3568849,11440162,5,88147210,1231712,20193775,1,24327739,203509176,5973364,26520936,18,25955541,1,203509176,2,14288580,1,14165814,4522470,33224984,9915489,48298404,3,1,3,267188796,5,79310385,140216384,168098400,1,57209912,1,1610455,4,7,1,163744810,5,479386942,31183860,258440190,1,1397604,2,3,12529218,330843032,60600324,363651314,38450940,21007451,1,3,712558332,22606416,35763904,5,112620600,1,14,6,38290,1,13431834,63540560,2809113,23599192,608526,1,62418147,1,1,4,6431596,389955046,42299208,170172516,1}

Returns: "Solution exists"
50

"LLLLLLGLLLLLLLLLLLLLLLLLGLLLLLLLGLLLGLLLGLLLLLLGLLLLLLLLLLLLLGLLLLLLLLLLLLLGLLGLLLLGLLLLLL"

{43,20,28,33,44,40,47,11,47,10,16,16,30,42,11,38,23,11,18,23,49,9,10,1,5,41,1,11,41,31,35,41,0,28,16,45,48,3,37,21,5,21,11,36,38,0,33,32,21,0,24,44,38,9,33,33,47,46,16,17,46,48,4,8,49,15,0,11,27,25,3,43,29,34,24,29,10,37,22,15,1,40,48,46,6,25,38,35,47,29}

{11,8,24,15,46,42,35,28,29,26,8,10,40,15,40,7,6,16,4,34,34,3,23,33,26,16,10,1,27,5,23,45,16,38,4,49,21,21,49,19,21,33,13,34,35,18,40,26,4,19,39,31,22,11,24,25,1,19,28,43,1,39,27,42,34,14,33,44,38,20,48,28,3,38,14,27,34,7,38,30,20,14,24,25,11,34,28,40,39,44}

{178692499,581679496,320568380,32423256,485804,105299238,3,66805387,47235669,309888682,326057112,163159146,51362410,140830938,30384178,123103376,4721310,78758829,6939768,41994810,23383854,19378840,172479670,85682472,1,214050069,111234082,53693993,159992551,47363694,44811030,129980630,1,15773648,311431032,60957910,2,132014980,222999870,268528466,1,141482424,78475372,13546026,127113360,2779050,24242856,1,350589448,43610075,40429180,197274,2051984,52059592,69629640,38967576,16479453,6612292,144654543,13777485,6445772,2,232780328,521856168,23383854,24883434,45954600,4046801,152896304,377318212,32624340,328200433,229160620,23824944,320626260,1,19003374,227989590,1,206081730,207413191,55816002,105139020,4,5156505,24634116,15773648,40883370,25858470,17123249}

Returns: "Solution exists"
100

"GLLLGGLLLGLGLLLLGLLGGLLLLLLLLLLLLLGLLLLLGLGGLLLLLLLLGLGLGLLGLLLLLLLLLLLGLLGLGLGLLLLLLLLGGLLLGGLGGLLGLGLLLLLLLLLLLGLLGLLLGGLLLLLGLGLLLLLLGGLLLLGLLGLLLLLLLLLLLGGGLGLLLLLGLGGGLLLLGGGL"

{29,21,87,25,54,20,83,95,97,8,23,84,60,25,52,73,21,58,69,58,15,88,27,47,71,11,90,81,33,25,78,47,33,47,70,35,60,26,58,63,34,45,71,48,5,80,15,2,26,8,85,73,78,4,23,90,32,72,90,41,58,65,58,82,1,61,2,33,42,99,21,19,73,17,7,30,75,20,66,77,51,44,48,40,79,36,65,33,81,44,78,41,96,96,99,97,56,79,53,78,58,18,88,39,23,99,5,83,79,79,68,83,10,22,6,6,11,11,32,30,85,69,55,53,62,0,92,24,26,21,94,47,40,96,42,26,28,51,35,18,77,68,6,7,92,80,73,32,74,0,34,98,5,26,5,0,57,78,2,20,52,30,53,2,47,95,86,90,58,22,76,31,32,76,63,19,84,72,62,4}

{21,22,25,56,56,38,36,99,18,19,86,50,22,79,88,6,55,29,2,3,34,29,15,34,15,12,1,29,18,80,95,5,30,72,25,48,81,83,40,66,39,37,19,85,91,74,85,32,76,70,52,12,17,81,98,74,68,85,70,99,20,1,54,86,88,47,47,19,59,64,4,8,85,6,19,88,79,43,16,78,78,69,0,63,72,48,1,64,94,27,81,21,57,91,11,36,55,50,70,8,99,4,25,74,6,95,68,31,48,44,54,22,41,84,48,49,32,32,51,10,30,41,13,62,86,58,99,84,0,94,86,43,63,67,3,52,36,36,15,73,48,95,3,1,54,76,60,5,4,90,52,28,46,76,16,91,76,17,6,98,84,38,57,16,15,14,37,44,11,37,20,34,36,68,72,32,95,64,52,71}

{2,86944344,54624158,165177569,1,1,41434530,17086938,5951383,1,8425360,2,35107032,265646155,138569970,53059682,2,1937636,31409346,1,1,230729180,202910968,160472928,397396968,3671280,159220358,105629380,7526366,578441833,133276044,41738400,425246902,388714656,1,168911,44538180,356177082,1547781,92190590,1,325629668,1,1,1304325,419576924,3525576,13413426,293753192,210139666,3208632,39945566,4,92602580,1,188454188,2,36896712,183800863,1,2570777,344601774,2819522,24771920,16214330,11004576,8060448,9895510,155112636,34132651,40496106,1,6674568,37468236,1,722089610,1,213649040,2,254230292,62895180,253256798,7285482,53841741,242405335,4955785,344601774,1,4,266289998,144440260,72083658,1,1,1187280,1,1,5530330,109803767,2,169847,1,582072370,4561180,62027134,17086938,44388900,26406186,35678465,243177790,87104068,235870392,33172280,4,21585551,167862032,6,3584880,24347310,133055240,1,2,5283308,67006004,4712240,235458,35207799,2,30556962,2,5312080,9604320,53841741,144232575,57327452,75510183,1,5,877256,4081514,62994242,32971884,13,95075596,584462274,1,15534822,69457050,70965076,25029414,7213773,79499,3885075,293753192,4171050,427482,325354680,4,1,1,2553348,1,193679010,805506,37142688,258936018,31057360,1,74160,1,1,3,46454070,34963816,77582699,634374390,6,1,1,197978214}

Returns: "Solution exists"
95

"GLLLLGGGGGGGGGGLGGLGGLGLLGLLGLGGGGLGGGLLGLGGGGG"

{14,76,72,69,14,63,36,84,68,64,70,17,31,33,74,37,38,18,68,41,46,53,84,81,64,62,69,42,14,19,11,5,58,86,70,22,39,32,30,71,77,36,31,69,59,14,71}

{75,10,27,67,65,93,23,67,20,19,51,88,40,2,58,83,90,20,65,11,5,61,72,66,63,46,26,85,43,20,37,82,46,46,85,36,44,43,47,26,94,43,13,11,74,17,38}

{1,236050300,74399836,581779305,350976866,3,1,1,1,1,4,4,2,1,1,86107630,2,1,387667050,1,1,8584070,2,20813030,2350038,1,236552544,14792409,1,20130671,5,1,1,3,54649104,1,8,1,235815008,12166176,1,30549620,2,1,8,1,2}

Returns: "Solution exists"
127

"GGGGGGGGGGLLLGLGGGGGGGGGGGGGGLGGGGGGGLGGLLGGLGGGLGGLGGLGGLGGGGGLGGGGGGLLLGGGGLGGGGGGGLGLLLGLGGGGGGGGGLGGGGGGLGLGGGGGGG"

{26,11,49,79,79,105,26,91,50,5,25,115,43,24,21,36,50,107,8,5,61,44,6,13,84,121,123,107,82,62,62,1,119,62,7,54,104,90,114,10,30,112,29,77,2,114,97,21,28,112,6,82,39,99,22,111,102,81,119,42,5,23,77,72,121,19,67,10,28,77,111,94,101,4,41,69,36,11,64,96,123,37,77,43,9,16,24,76,21,90,70,124,125,15,75,0,124,7,88,19,62,107,48,110,4,115,61,30,99,36,55,105,35,71,37,0,104,89}

{99,87,126,72,100,49,87,95,118,29,2,16,0,51,83,68,78,35,88,61,50,29,83,94,32,113,53,41,79,117,109,24,95,45,57,111,65,117,37,37,52,34,126,60,115,79,0,34,101,84,57,26,99,26,62,70,1,65,124,12,82,91,55,52,31,50,43,34,18,55,71,108,57,66,118,64,116,50,109,94,40,114,5,3,85,38,1,34,79,102,69,63,86,72,4,69,75,59,64,43,33,80,35,67,95,13,51,23,91,79,67,16,106,5,47,91,56,15}

{1,1,1,1,1,1,2,3,1,1,38511176,22389354,10950688,1,140071040,5,1,1,1,1,1,1,40,1,1,1,7,1,1,434580814,2,1,6,1,2,1,3,174703423,1,3,172600932,89117564,1,220,439262343,1,1,2,230242496,1,10,94611608,1,1,280997670,1,4,445091400,69,1,1,1,4,27333661,1,3,4,2,1,4,84827324,94361530,39174080,3,1,2,15,104008689,10,2,1,1,1,1,1,9235858,1,66467604,405952598,60545476,1,33396,9,1,3,2,3,2,2,1,1,39926229,1,10,3,3,1,1,16726479,1,83375380,1,1,1,3,1,1,1}

Returns: "Solution exists"
22

"LGLGLLLLLLLLL"

{3,13,6,2,6,12,11,11,6,11,14,7,8}

{13,8,12,14,20,8,18,16,1,8,19,17,6}

{7982625,1,28069860,1,12181785,336823188,64130758,12968210,79278990,239551358,6558020,206064705,123871335}

Returns: "Solution exists"
97

"LLLLLLLLGGLLLLGLLLGGLLLGGLLGGLLLLLLLLLLGLGLGGLLGLLGLG"

{77,15,90,20,4,25,35,77,93,42,94,40,48,94,71,49,20,6,42,5,10,6,25,61,76,37,94,48,60,45,90,84,43,14,41,93,35,42,45,94,19,11,6,78,84,20,96,58,5,42,0,18,14}

{79,45,2,66,5,55,93,35,91,81,93,42,77,34,1,47,5,94,51,78,90,84,35,76,9,56,74,32,39,30,36,5,71,28,3,30,40,84,31,67,11,61,32,87,27,41,62,47,14,70,24,29,87}

{2313248,20377440,12053286,451605,40690860,151116,18529790,48725480,1,2,23917294,286550860,65399544,77337253,2,32784488,58548,37171607,2,3,124390728,61265534,146420610,1,2,130693314,16773622,1,1,43439648,1704402,49693476,71717382,26054,1964056,34987358,44181205,253892684,2973088,1,3342822,1,849200,1,1,1032648,188061615,8,6409284,1988348,1,94989516,14}

Returns: "Solution exists"
51

"GLGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGLGGGGGGGGGGGGGGLGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG"

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{1,4,0,12,46,20,36,10,41,5,12,43,42,41,5,0,34,13,12,41,23,7,3,49,34,32,43,25,28,35,47,46,4,13,37,5,15,1,49,8,4,11,13,45,37,28,40,26,14,50,46,28,6,13,37,33,33,6,32,21,25,48,12,5,31,23,17,2,14,26,27,23,29,17,3,32,43,21,6,22,39,11,50,4,40,26,49,4,37,19,33,31,32,9,8,28,44,46,12,48,36,15,40,3,26,27,19,1,25,33,1,35,22,42,41,41,34,39,33,40,10,31}

{1,559021236,2,2,1,2,1,1,2,2,1,9,1,2,2,1,1,3,2,10,1,9,1,9,1,3,1,45,2,1,1,16,4,3,9,2,5,1,8,9,2,15,1,1,9,8,1,1,8,1,16,348786704,1,6,9,1,1,1,1,3,8,2,2,1,3,2,31193262,3,3,3,2,2,1,3,1,3,1,3,1,1,1,5,1,1,1,1,9,2,1,6,1,3,5,2,1,1,4,2,1,2,1,9,3,1,3,1,62,1,2,1,1,5,1,2,2,2,2,2,1,1,7,1}

Returns: "Solution exists"
174

"LGLGLLLLGLGGGGGGLGLGLGLGGLLLGLLGLGGGLGGGGGLLLGGGGLGLGLGLLLLGGGGGGGLGLLLGLGLLGLGLLLLG"

{42,36,96,57,84,117,165,102,12,0,159,129,70,15,41,44,165,157,164,140,155,161,132,117,118,6,168,149,62,133,46,6,62,134,75,155,16,106,82,139,50,28,41,19,24,87,54,119,120,127,95,47,60,64,101,130,103,114,38,173,0,61,104,92,58,55,15,85,116,68,159,27,153,87,61,173,27,173,125,104,68,18,10,110}

{95,17,123,16,60,142,98,59,27,134,45,152,22,135,155,68,26,44,88,62,55,52,83,144,125,11,2,26,87,20,115,26,140,3,164,70,89,146,94,152,73,155,46,163,140,21,104,17,117,142,70,11,105,40,14,158,138,163,31,21,1,106,17,14,159,165,29,71,42,39,72,147,35,89,24,139,40,36,103,126,67,27,141,66}

{11073406,16,736782611,1,112427700,36204282,380421642,186894,7,26692416,1,2,1,2,2,1,351921282,1,6821012,1,33477120,5,26945028,1,1,60139398,207696580,703818362,1,96477722,2936640,2,158827382,1,11,16,67624326,2,98,2,4,3,11183520,825147870,243616322,1,1,1,1,24295158,2,7329966,1,42224022,1,433607564,182578863,76023830,54893052,1,3,1,1,5,2,1,3893010,8,190226108,58926846,535568660,1,593227690,1,234697681,17881080,1,52791760,1,25934938,9616758,70416437,13587099,3}

Returns: "Solution exists"
180

"LGLGLGLLLLGLLGLLGLGLGLLLLGLLLGGLGGGLGLLLLLGGLLLLGGGLLLLGGGGGLLGGGGGGGGLGGLGGLGLGLLLGGLGLGGGGLGLLLLGGLLLLGLLGGGGGLLLLLGLGGLGLLLLGLGLG"

{35,172,15,144,166,75,3,150,144,57,16,149,48,110,47,85,162,169,179,75,160,167,123,40,62,84,35,112,42,146,36,133,20,35,165,57,145,97,42,129,17,62,27,174,172,86,166,151,105,76,29,16,38,78,133,94,155,54,88,122,43,61,8,123,151,170,145,10,110,50,64,137,169,12,81,127,105,102,34,102,33,74,176,123,13,42,173,33,172,165,16,9,168,156,46,124,8,52,89,134,97,41,37,77,45,166,120,49,97,158,5,126,19,27,47,22,165,52,124,5,21,25,25,49,90,130,166,6,32,172,142,118}

{58,160,125,102,131,36,137,108,106,58,155,42,17,34,38,27,157,87,39,29,5,129,174,150,3,88,140,134,91,76,6,66,8,10,113,31,103,3,28,80,49,140,172,104,82,66,126,20,102,28,35,100,136,41,124,111,61,94,107,32,38,44,21,167,32,98,153,53,71,166,117,28,109,48,3,5,17,51,50,122,31,112,122,47,90,40,82,160,81,130,116,170,170,140,80,174,152,148,33,20,126,167,145,0,31,46,84,81,36,69,39,173,151,167,97,173,33,153,53,177,33,162,112,69,71,168,120,179,109,169,55,113}

{14956344,5,151250154,1,66688916,2,18038020,975204,171799460,25066846,2,14272905,35148785,2,11090889,349130734,1,2600384,1,717091690,5,131144181,123528885,68598,112792680,1,124292376,1495545,33087852,3,2,398450,1,8,40,92935108,1,430810380,1063376,39477863,228217040,157504104,1,1,31940025,908050,20250158,14482028,1,1,1,365512588,23802858,212225880,3932395,1,11,1,1,8,8402598,243563496,4,3,4,1,1,1,24,1,123424305,2,1,49977865,52,1,548197015,1,255200950,2,56666532,95586,425701296,3,1,359862,1,85963020,13,136,1,1,29587195,1,36933905,34916845,234853860,7700266,2,1,123131718,32300205,157399140,163489680,2,73062655,21112905,4,1,1,1,1,1560812,77888958,17667099,300303619,117404040,1,15782183,1,2,4088719,1,66976368,10202280,6639248,34133655,2,209854872,1,4583397,40}

Returns: "Solution exists"
46

"LLLLLLLLGLLLLLLGLLLLLLLLLLLGLGGLLLLLLLLLLLLLLLLLLLLLLGGGLLLLLLLGGLLLLLLLGLLLLLLGGLLLLLLLLLGLLLLLLLLGLLLGLLLGGLLLLGLLLLL"

{22,32,6,44,36,19,45,27,20,5,31,8,15,45,45,13,22,39,22,24,40,2,18,23,34,5,20,45,5,45,39,31,14,4,5,3,7,33,25,15,13,17,7,20,12,20,43,34,1,13,17,3,17,12,39,5,27,9,25,3,29,42,25,23,1,42,37,11,1,15,29,17,8,6,3,27,3,8,16,27,4,35,41,15,26,22,42,16,28,2,4,19,44,45,16,13,40,34,38,12,26,0,5,35,31,32,41,1,10,39,7,1,14,35,16,2,7,35,38}

{39,25,7,32,12,45,44,34,8,18,30,24,23,18,36,22,43,13,36,4,17,9,3,2,0,38,29,9,17,24,32,40,12,45,28,18,23,25,13,18,26,44,22,43,4,29,24,24,15,40,10,11,15,21,41,45,15,29,38,19,22,22,36,22,35,24,42,43,9,33,21,0,40,31,21,21,27,19,29,14,33,23,1,5,0,2,5,6,8,10,17,7,5,24,15,41,29,7,3,41,30,45,10,40,35,6,13,32,24,8,3,17,10,6,15,35,12,11,30}

{37113,15513520,170694708,351395440,18623430,82926102,620532402,41871988,1,302874480,232225650,515174764,608226317,125617590,40815810,1,952834,4052823,412515,121971980,205918676,13488840,12867030,194322654,25680528,116160272,631565897,2,37559408,2,1,260453950,18173414,4094790,185461520,12867030,325460956,253152440,514008753,676703070,292298925,166208164,1129588,259053082,23043230,631565897,113847604,27286844,626679699,848497857,94146180,33406923,167835644,2,1,2,387046642,92919560,96448259,8494134,2322989,348079,81710415,1,3,83179148,242482,264341846,94058760,340604840,50583738,35408304,1,120368550,874038,15812142,538494,152071994,457498328,1,5,616124361,638806938,503601808,200660400,674442,83038352,235734072,423175810,33608430,1,39840188,498718448,280929012,415746632,704957946,759565201,16283836,7402263,14,260118675,88130448,282491760,1,215041650,201197040,704957946,1,1,10100991,17172276,186954996,60178515,3,415746632,60692202,25498228,593250657,141956037}

Returns: "Solution exists"
60

"GLLLLLLLLLLLLGLLLLGLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLGLLGGLLGLLLGGLLLLLLGLLLLLLLGLLLLLLLLGLLLGLGLLLLLGLLLGLLLLLLLLGLGLGLGLLLLLGGLLLLLGLLLLLLLLLGLLLLL"

{53,12,27,53,26,48,19,46,50,26,19,28,9,7,31,38,4,12,22,46,6,39,28,47,47,5,21,32,39,55,48,40,40,27,30,3,51,23,36,44,3,59,10,40,20,0,12,26,49,47,38,55,25,39,29,10,50,22,14,52,59,18,33,20,21,17,12,57,45,31,35,9,31,51,15,32,17,44,13,26,16,30,45,43,0,13,31,39,56,33,28,40,3,6,13,21,0,58,32,31,19,45,28,53,2,57,18,26,7,34,38,16,7,27,0,11,18,10,30,6,48,47,53,41,32,57,26,15,33,49,4,21,11,43,41,7,7,42,45,46,0,5,20,25,46,1}

{35,40,9,31,32,8,9,9,10,56,2,32,5,36,19,29,46,34,46,21,50,3,52,34,24,45,18,44,37,42,9,53,46,9,16,40,35,53,40,56,45,47,55,54,43,38,15,37,56,40,20,11,51,28,9,29,22,28,39,26,23,15,7,34,32,48,31,36,37,47,33,29,1,34,13,48,12,42,51,17,37,24,13,45,45,49,46,33,27,11,21,50,26,13,0,23,56,17,12,11,36,28,16,21,48,14,17,49,35,19,21,27,13,5,14,31,1,48,8,53,44,10,11,1,23,7,59,25,36,0,52,29,59,41,46,39,35,1,12,0,8,8,5,30,31,22}

{2,111499344,150858290,37629180,94779658,262497025,82684162,174978866,246667896,28508082,123658986,114440682,24057762,3,49615236,359985,89536898,860688,2,90272314,143983211,71036574,136748724,9427536,28074897,777873,12249468,75124,32407032,11001018,210782846,323585790,300968998,150858290,10895094,511866982,38113768,218209710,515306319,22596,19244402,6070248,9499896,9525703,155621793,48217020,1417968,229053784,4782282,76331673,1,692160,120970554,3,1,6785640,332260308,3,1017093,113255156,52166328,4,12,116232912,28981766,214859981,2161008,125056290,8779336,9,2289672,10783070,82080612,176921424,7009232,54019522,132155856,2,67636028,376981409,30306216,1251747,5180404,18142923,9339892,68018628,2,19462212,11628870,1869120,1,337109047,1,58851532,26391748,131168686,11133372,257844783,2,1005120,226017066,14438379,3,97055970,157619019,37350390,6915132,157006407,14604744,79043184,37752990,2,25917324,1,39304804,12,14816844,1,26048925,138207270,281876,2068632,575040,2,2,29602380,75880248,25072752,222869196,122632644,2,5563030,171840,365859948,114089764,11285484,14604744,33226838,4191984,115293172,1,29960175,6672243,15951033,104997348,115947684}

Returns: "Solution exists"
127

"LLLLLLGGLGLGGLLLGLLLLLLLLGLGLLLLLLGGLLLLLGLLLLLGGGLLLLLLGLLLGGLLLLLGLLLGLLLLLGLLLLLLGLGLLLLLLLLLLGLLGLLLLLLLLLLLLLLLGLLLGLLGLGGLGGLLLLLLL"

{27,14,108,8,42,50,16,99,126,92,28,51,18,4,21,32,93,5,10,42,88,79,103,71,101,34,6,49,26,67,23,43,63,55,113,100,76,99,100,56,54,21,33,126,27,116,98,55,75,69,75,45,101,126,63,79,12,42,31,23,82,121,39,1,123,45,113,121,19,10,62,98,25,28,18,103,51,115,76,107,21,32,65,41,37,25,0,99,17,80,66,83,125,86,2,110,5,4,109,23,50,65,23,89,89,91,116,21,125,71,122,52,34,102,58,14,91,97,19,5,124,43,67,20,48,48,28,124,55,124,11,70,31,87,41,75,44}

{70,42,62,87,56,41,92,108,24,82,80,70,107,27,75,3,86,13,12,52,112,25,9,101,118,69,73,120,42,96,104,77,110,65,46,114,12,69,80,74,29,11,48,94,15,6,63,103,67,23,62,44,53,45,18,76,37,126,2,6,62,33,82,27,66,82,79,110,125,82,42,95,67,35,37,18,55,3,8,40,107,14,89,26,69,48,75,45,59,2,90,72,39,74,108,17,108,8,94,55,83,105,63,4,51,19,122,16,81,7,100,114,88,90,93,5,18,8,97,11,32,67,115,7,82,10,50,50,31,30,111,46,61,91,15,16,39}

{258134232,39224145,3782296,16169590,58548553,22194006,11,4,67558232,1,15852014,1,7,643097112,205270855,138880456,1,209226270,645672006,15695889,226326,161788690,10855985,434386260,36853110,1,28453100,1,59821754,68096607,12880336,2188472,1605610,23953130,3,1,21199494,81184340,166191436,575506624,341100291,1,391525864,491537558,103720152,375236836,23586254,1,1,1,49122520,111657264,86683905,420538128,2189278,9649806,1,41076829,287481040,36314096,1,8,105404034,220066872,141077356,450605424,256007436,1,61324055,584744454,8191688,1,27638205,10938662,55502174,1056965,159999902,2,1218570,38971436,28149548,394281030,31389595,22206342,1,139163185,1,156651888,88346958,297981904,152277020,57075291,16618134,263060160,19072592,10632945,54221860,1,34895016,24031952,1,31400535,2870224,11970511,209673313,254693980,187164754,279188140,82188600,114516644,73218292,32638683,15069258,411786710,20435156,106775790,1,33119280,451973520,126338630,2,520377,4213962,1,388282693,73,1,92230344,2,1,11887540,17418861,239432620,83408636,5965998,42197540,26118474}

Returns: "Solution exists"
45

"LLLLGGGLGLLGLLGGLGGLGLGLLGGLGLLLGLLGGGLLGLLGLGGGGGLGGLLLLLGLLGGGGGGLLGLLLLGGLLLLGLGGLGLLGGGLLGGGL"

{33,11,26,43,19,0,41,4,9,31,7,35,16,33,44,34,20,11,13,6,24,39,7,27,35,20,17,34,32,1,28,38,7,19,16,11,29,28,37,22,19,1,32,34,44,2,31,11,7,14,42,8,37,20,31,3,29,20,16,24,43,21,39,24,1,25,38,18,1,6,33,25,19,15,37,1,11,33,13,22,29,40,40,32,25,25,5,26,40,27,21,27,23,3,12,17,32}

{44,44,29,19,8,41,13,33,35,41,40,30,18,21,12,13,40,34,36,15,8,17,42,21,33,27,37,3,31,36,25,27,35,17,17,43,20,34,7,30,21,3,38,2,42,7,11,35,42,11,3,27,7,29,23,35,6,7,33,33,30,25,30,37,38,12,43,4,14,41,39,38,29,22,21,15,38,22,3,29,12,7,9,40,23,17,28,19,13,23,1,21,30,28,9,44,30}

{186476036,13750360,102939592,230323104,1,1,2,99369732,4,354468632,51168318,2,218860264,89863636,1,1,105239922,1,2,17359056,1,87660996,1,29958793,19174388,1,1,1328481,1,254330094,283827186,6380614,1,50106144,143139192,1,2,1,45841715,100664226,1,12235293,6402326,1,27712264,1,1,4,1,1,1782648,1,1,105703976,314676189,18500076,127886472,38240558,4,5951888,294902334,1,2,1,1,1,1,133343133,642601041,1,24971132,34877614,17058272,1709136,1,3,705640,68481972,13774698,163688616,1,51168318,2,1,9484038,2,308607678,49442272,2,1,1,29958793,3825054,27,1,1,24453394}

Returns: "Solution exists"
30

"GGGGGGLGGGLGGLGGGGGGLGGGG"

{9,1,10,11,7,11,29,1,27,10,28,12,14,26,3,7,28,10,9,21,4,19,28,7,5}

{13,15,18,13,15,27,25,7,23,26,7,8,3,29,28,17,21,1,29,25,10,27,17,19,24}

{3,1,3,1,2,2,682601183,93,1,4,155508276,1,1,182662436,1,2,1,3,1,1,1267680,1,4,3,2}

Returns: "Solution exists"
183

"LLLLLGGGLLLLLLLGLLGGLLLLLLLLLLLLLGLLGLLLLLLLLLLGLLLLLGLGLGLLLLLLLLLLLLLLLLLLLLLLLLLLLLGGLLLLLLLLGLLLLLLLLLLLLLGLLLLLLLLLLLLLLLLLLLLL"

{3,45,64,41,170,116,158,86,103,110,60,112,127,54,9,71,118,65,16,132,34,61,98,72,50,11,122,12,130,31,77,83,179,117,112,116,23,159,14,14,76,17,100,77,6,138,144,92,71,26,75,35,74,22,163,130,57,70,119,111,56,170,17,136,149,172,124,113,10,64,97,106,51,26,100,109,156,143,96,162,156,36,152,93,181,132,120,161,171,101,125,70,146,25,88,142,161,29,28,97,114,11,123,58,48,135,156,8,180,32,164,19,37,119,48,44,144,108,13,136,98,26,21,178,75,58,74,7,180,135,47,59}

{166,99,21,168,142,19,147,91,53,6,86,111,77,65,31,9,132,60,150,43,89,6,36,102,150,166,98,110,128,147,69,84,22,26,63,174,167,174,148,52,42,157,6,5,11,143,33,33,111,43,172,134,140,108,89,108,74,175,117,142,124,51,130,179,23,126,28,165,153,109,98,132,24,101,53,70,168,95,102,173,142,125,133,33,31,148,128,38,59,135,160,2,142,89,68,123,49,78,179,33,15,7,84,5,3,46,112,94,147,133,52,25,92,59,101,24,63,82,112,139,167,115,177,139,78,129,156,9,67,62,14,63}

{29001092,94396092,5763211,60311244,144768828,2,1,1,230906,790090940,718812,15801446,7305120,85388264,17506464,1,50580400,16164504,1,1,53532954,83349953,101042291,97750440,149404223,5793132,77377829,469783020,2395878,311284920,66172896,2976795,6547008,1,40576585,286501202,2,322406617,242839408,191994189,9717842,10978500,23588064,274130784,383879361,53518746,9137713,1,2541998,101780936,3853512,382946356,12842106,3,38549314,3,7965892,2,39943994,72733748,351018592,5432136,124500,36532800,856128,95407,140198816,631512,172020,2681182,109163343,105868100,19464024,88598248,21441888,87987634,452352,3194814,251208120,117862230,4625664,29915543,681420678,17956237,264035640,390244400,2,1,386856366,412496,16472511,48647722,425392444,4609374,128289736,314376508,1,44885904,41057088,160047303,105947382,165497970,97476030,340192028,29390698,76710032,2009856,14322864,49188115,302311338,1,2358048,220020510,263606358,264498328,211326765,19086655,347637930,37174485,437305050,123952366,19894312,208669568,83557383,17399592,336851020,705792,54424480,44079060,31107888,1550772,408680790}

Returns: "Solution exists"
78

"LGGGGGGLGGGLGGGGGLLLLGLGLLGLGLGLGGLGGGGLGGGGLGGLGGGGGGGGLGGGLLGLGGLLGLGGGLGGL"

{45,48,14,63,60,6,12,8,70,43,74,20,2,15,40,77,60,65,30,40,33,20,74,38,14,3,62,58,50,46,39,3,67,34,66,24,40,55,33,52,59,53,55,52,15,52,46,45,29,20,34,44,15,75,8,8,45,73,56,76,67,64,33,19,67,69,22,14,23,27,54,3,47,41,66,65,2}

{64,74,73,47,55,34,73,15,21,4,16,30,74,19,58,25,50,39,0,72,55,28,39,66,75,28,25,74,17,33,21,22,1,20,58,7,60,10,12,16,2,21,6,30,76,25,7,9,21,56,12,15,59,23,61,47,28,49,21,15,7,54,62,32,75,67,77,3,68,66,18,60,37,33,69,24,46}

{25040400,1,1,2,10,8,1,1375470,1,1,2,73204488,1,2,1,1,5,391301988,17251704,25823292,107698650,1,258709638,2,48394700,90315730,8,31406450,1,221341674,3,70269910,5,3,6924350,2,4,5,1,10975320,69,1,2,72,2347506,72,1,298105962,1,1,1,3,6,1,2,2,147470070,1,1,2,148648130,43268400,2,108877538,5,1,17102390,32522426,1,49557310,1,2,1,6437274,2,28,125489817}

Returns: "Solution exists"
42

"LGLLLLLLGLLLLLLLLLLGGLLGGLLLLGLGLLLLGGLLGGLLLLLLLLLLLLGGLLLLLLLLLLGLLLGLGLLGLLLLGLLLLLLLLLLLGLGGGGLGLLLGLGLLGLLLLLLLLGL"

{11,5,23,13,4,0,3,24,9,38,12,1,18,10,4,25,40,13,39,6,17,34,24,39,16,38,11,9,1,9,26,24,36,17,33,19,10,30,36,5,16,40,9,17,20,23,15,17,14,7,1,39,9,3,12,3,33,29,30,34,20,7,32,18,8,17,32,9,4,32,18,41,12,36,18,13,39,30,13,17,22,34,30,4,5,11,12,36,34,3,38,27,36,26,32,0,22,22,20,33,22,10,36,41,11,2,19,26,1,2,39,0,15,33,15,8,21,9,2}

{24,18,40,9,24,31,13,35,33,30,40,0,36,16,39,33,20,35,15,38,18,11,26,14,1,22,36,3,38,25,18,28,38,16,19,14,11,5,32,38,24,13,12,16,30,7,12,10,32,8,24,22,24,12,3,23,12,33,31,18,35,4,19,4,5,20,36,12,23,14,6,38,10,15,33,24,12,13,34,4,0,26,13,26,0,14,32,26,22,34,31,16,33,41,14,21,28,20,27,40,24,30,39,4,3,35,32,7,0,4,0,24,39,31,38,31,14,38,30}

{25974990,1,308369564,12001076,6141015,24205808,22536568,39332565,1,5375226,3272116,57601808,364566540,331767502,115776054,349840548,8940540,16396221,105068162,1,1,2279690,96614010,2,1,385684794,31095870,26182808,489079814,4,109988764,5,227584110,534957594,367528520,27607320,2,1,258652290,78294194,1,1,2008892,534957594,160230,367944414,2333306,718555926,185792490,429425718,344093445,568414638,86367420,3772456,2,1,14245702,83726598,8176962,921620,4999470,391878,129653080,125840628,140922881,11793810,2,2008892,121152429,185792490,1,10388816,2,120091530,697245028,1,6516794,1050978,1631105,38341917,11,8479310,1050978,39923766,838288,22336470,5025458,115661130,23814945,14234360,205524314,33494582,1,5279728,2,88,1,3,2215290,1,30149955,9762258,335408970,1,15748952,1,129653080,60624978,1,21969063,23450768,22389840,105068162,662133874,71291606,739852522,875160,2,3006438}

Returns: "Solution exists"
130

"GGGG"

{123,57,73,116}

{55,73,79,99}

{2,1,1,2}

Returns: "Solution exists"
108

"LGLGLGLGGGLLGLLLGLLLLGGGLGGLGLLGGGGGGGGLGGGGGLLGGLGLGLLLGGLGGLLGGGLGGLLGLGLGGLLGGLLLLLGGGGGLGGLLGGLGLLGGGLGGGLGLLLGGLLGLLGLLLGGGLGGGGGGGGGGGG"

{91,49,50,28,45,54,51,14,21,47,100,69,31,81,79,95,7,38,47,98,18,36,107,77,102,98,102,91,51,9,73,102,55,79,92,88,81,64,83,39,79,83,95,82,58,105,50,50,84,56,97,57,29,39,0,45,3,71,48,32,90,102,17,7,14,60,64,92,90,89,32,48,20,93,18,72,80,104,55,23,5,73,23,0,37,27,22,46,60,89,35,11,4,65,19,39,16,60,58,22,46,98,3,104,89,83,24,93,46,95,17,31,95,73,78,31,19,29,28,90,97,20,93,55,72,94,92,17,78,19,67,94,18,11,4,70,59,88,1,47,38}

{106,0,94,83,31,98,106,54,101,56,67,14,11,9,54,81,30,47,8,17,1,56,77,98,9,74,56,40,81,23,67,92,96,42,59,64,5,36,38,99,59,33,68,16,63,36,8,102,51,57,43,66,79,49,49,12,51,98,69,77,21,83,41,55,50,12,0,61,30,12,40,102,23,8,42,92,46,33,6,7,60,104,28,12,51,43,44,15,35,107,17,62,32,17,69,63,30,97,56,106,60,78,96,25,92,77,107,103,79,28,66,74,56,96,21,50,2,53,100,35,76,16,96,19,35,73,20,67,61,0,83,37,40,4,86,69,36,58,9,60,14}

{60245623,1,7471761,2,148960,3,62467673,2,1,1,356964,375373974,16,11763539,16373856,65889837,3,5302854,100295766,852845460,109615125,1,3,3,12790476,1,1,674009176,1,10493252,17273796,3,2,2,1,6,1,2,1,101218026,4,2,1,1,2,36190904,10120146,3,1,210830669,1,66010180,2,6749808,36299184,635040,1,1,107668701,1,1,20227716,272033116,1,1,1,565923054,1,6,9548280,720797560,9,46748548,1,153485670,11,1,135948100,289656064,1,1,215102612,62524,118285272,305795150,379126140,1,1,1,15,4,4394544,1,2,181910625,78786552,4,1,392163394,1,65857867,6864705,2,1,15,17687706,5,3,1,22135932,4,11830160,471915171,12907682,1,1,4314375,159704870,1,38472720,56813204,1,8688618,488133750,1608464,1,1,4,19966302,1,2,1,1,2,1,1,4,2,1,1,1}

Returns: "Solution exists"
167

"GLGGGLGLLLGGLGLGGLLGLGLLLLGGGGLGLGLGLLGGLGGGGGLGLLLLGGGGGGLLGGGLGLGLGGGGGLGGGLGGLGGLLGGLLLLLGGGGLGGLLGGLLLLLLGGGLGGGLGLLGLGGGGGLLGLLLGLLLLGGGGLLLLLGGGGGGLLGGGLLL"

{137,78,47,135,106,108,122,9,97,138,24,105,79,45,107,43,56,29,108,55,165,135,103,164,36,52,85,17,92,59,90,94,47,122,161,90,162,151,140,130,93,147,31,129,63,30,100,94,130,1,12,27,133,1,87,67,11,127,144,5,64,97,58,163,59,135,139,45,134,108,10,146,41,87,56,11,77,37,153,43,32,43,30,107,136,44,158,72,153,108,14,24,165,76,138,128,145,93,76,133,59,45,7,55,50,45,107,6,109,102,166,34,127,102,39,54,126,130,91,32,145,37,100,31,5,87,115,43,94,26,38,12,68,67,123,66,135,126,55,82,61,72,86,54,18,90,19,151,41,102,56,106,27,121,74,5,51,90,64,27,55}

{34,37,27,144,5,84,97,88,53,151,113,38,88,166,9,47,69,129,9,78,59,106,33,104,161,150,102,16,127,57,148,8,40,36,78,100,108,49,118,127,49,27,46,91,74,113,12,33,138,164,145,67,89,44,164,31,138,102,114,156,132,58,122,121,51,45,147,150,95,26,57,30,28,159,90,111,65,155,98,61,132,20,61,125,157,147,29,23,161,126,8,148,94,28,10,123,123,106,25,110,41,153,80,146,124,91,10,63,67,141,23,135,153,29,8,24,160,72,42,139,59,145,49,67,77,129,3,25,97,83,92,46,118,147,144,113,85,90,144,130,95,164,138,30,149,155,51,52,12,21,6,39,5,32,149,130,138,52,12,90,5}

{1,7222566,1,1,15,46083156,1,64581309,418352175,32651190,13,2,1646455,1,44053776,1,2,86152862,194861628,1,127548280,10,5530020,23956750,26818372,207153816,1,1,1,2,10174806,1,113785590,1,86228716,3,135032868,4390386,1,1,1505350,1,2,1,2,1,192969504,1,42888870,64222285,303514848,151735914,4,1,1,6,1,1,373747171,3883425,1,1,1,15241307,2,397855550,1,531242598,1,6,1,1,1,147240024,1,1,7,7295106,1,3,9647908,3,1,178841104,28240761,4,2,2607388,681082724,22730640,315459326,177248916,1,1,3,1,2455172,5,1,1898908,328119528,1,1,15467988,4553278,486171047,317199792,440361702,121806630,1,14,5,444657271,1,1,1,36213840,1,278177608,179027052,1,28002858,1,6,35,1,1,9250440,285628950,1,91952208,78126048,170155366,2,173893636,7757750,84178350,8865840,1,1,1,1,7402140,35591001,28961670,6308547,171699980,1,3,17,11,10,1,19799092,198993720,1,10,1,7993440,1545249,41693925}

Returns: "Solution exists"
76

"GGLGLGGLGGGGLLGGGLGGGGLGLGLGLLGGLLLGLGGLLLGGGLGGGLGGLLGGGGGLLGGLLLGGGGLLGGLGLLLGGGLGLGLGLLLGGGLLGLLGLLGGGLGLGLLLGGLLLGLGGLLGGLLGLGGGGGGGGLGGGGLGGGLLLLGGGLGLLGGGLGLGLGLGLL"

{3,44,71,21,16,69,39,62,7,38,63,15,49,63,63,54,27,75,28,75,49,66,40,28,70,54,30,32,38,52,73,57,59,64,23,20,44,56,39,34,3,43,32,19,30,32,39,8,30,0,27,66,14,50,0,41,59,46,8,67,52,33,43,62,44,32,29,3,29,12,22,25,0,24,56,40,43,19,43,54,38,32,17,23,33,71,72,27,21,14,17,36,50,4,10,33,40,5,35,63,21,47,20,71,14,28,11,59,4,48,40,16,49,4,24,40,11,31,6,8,16,25,49,13,51,28,56,13,21,68,60,66,57,56,61,34,34,56,21,48,47,22,38,42,4,43,73,35,5,42,8,71,9,50,72,7,10,1,18,27,50,30,25,58,22,55,74,26,47,35}

{10,1,52,32,47,22,13,60,31,63,69,25,4,30,64,4,53,52,17,66,20,57,65,73,69,65,74,8,19,68,67,30,30,37,2,75,67,12,35,53,23,12,42,40,45,74,60,39,32,59,33,12,55,62,8,54,69,58,23,30,37,19,17,12,22,75,50,27,2,60,2,43,28,3,53,30,10,50,69,17,61,30,57,0,56,11,33,23,26,5,45,23,55,15,67,45,33,17,52,49,75,11,3,26,43,47,40,44,71,20,2,54,36,21,7,74,14,58,40,64,21,8,60,60,2,3,58,67,56,33,5,36,33,58,68,37,17,11,72,9,62,73,40,36,73,45,20,58,46,13,55,9,28,31,71,15,5,24,71,29,10,27,49,35,25,39,48,59,61,57}

{1,1,74364765,1,167435982,2,2,3621190,5,1,3,2,71878176,437960934,9,6,1,2623596,1,1,1,1,414166863,7,1705530,1,81839930,1,236571082,287691483,2,1,752182102,41502420,77280582,1,312170,55,2,1351062,2410281,593670,1,1,1,13701265,2,1,1,546110040,1,1,32426310,1914380,3,1,1,2,1,226750430,34390380,1,2,1045990,41230,3419540,1,1,1,2,3318798,7075530,1,1,19762875,37,1478400,78862108,944790,2,1,1,14101526,1,336216375,1,415386841,1,3193002,118199130,50990082,1,1,2,10515200,780918567,1,10223562,64916274,3,1320012,281830299,1,1,70,47140639,3,2588845,1,340380495,92238114,4519872,3,18,97299510,53645745,256641630,1,224787432,3,18,163067994,260255904,2,1,998361,36159750,10,24527250,1,2,3,1,9,1,2,2,51616125,1,1,1,14,280821453,1,18,33,520171218,48151638,133286664,50699220,3,1,23,299936780,1,187917360,36883200,1,1,1,16556800,1,81451296,2,3988026,7,7285005,1,222437148,29109238}

Returns: "Solution exists"
152

"GGGGGLGGLGGLGGLLGLLLLLGGGGGGGGLGGLLGGGGGL"

{71,63,23,32,107,124,136,117,42,135,78,19,144,40,2,104,97,122,54,41,141,128,78,32,102,4,99,98,23,34,77,29,136,78,32,140,115,138,134,1,31}

{109,68,50,130,104,121,21,5,39,40,128,112,119,148,32,2,130,33,47,89,98,133,23,86,0,149,22,150,115,75,50,143,123,39,128,123,89,73,66,107,146}

{2,1,2,1,1,67870068,2,2,35436210,7,1,33031095,1,1,7006146,5350749,1,137906526,91480492,249533559,406706927,42549195,2,1,1,7,1,1,2,1,112162828,2,2,277005270,79817682,4,1,1,1,2,28916632}

Returns: "Solution exists"
54

"LLLLLLGLGGGGLLLLLGLG"

{47,28,13,26,20,48,24,24,53,46,51,35,26,1,12,35,16,24,21,1}

{36,14,34,39,4,44,46,2,43,1,23,28,4,13,39,46,0,11,25,38}

{7957326,85226047,160391566,228280726,228289058,3555302,7,11057564,1,9,1,1,69865462,216500202,384267762,557691120,167305884,2,6259128,1}

Returns: "Solution exists"
192

"LGLLLLLGLLLGLLLLLGLLLLLLGGLGGLLLLLGGGLLLLLLLLLLLGGGLLGLLGLGGGG"

{45,82,18,102,134,178,168,21,182,53,11,30,14,59,36,88,12,47,43,166,178,84,164,95,101,80,93,186,10,185,101,61,93,158,143,167,146,24,104,155,48,18,117,79,106,22,177,117,64,90,5,170,150,10,73,29,148,87,123,1,190,63}

{94,34,172,46,48,64,166,105,119,117,8,140,45,78,10,128,11,121,51,13,121,158,166,97,183,59,109,2,140,127,4,79,111,42,104,126,115,36,97,145,120,155,13,27,15,160,47,114,109,132,119,118,147,112,18,129,188,131,117,175,8,48}

{75262158,1,16228872,475923287,155256230,33574320,77163080,18,47804602,3141662,302818450,1,4898990,1228584,201675000,428112322,17337331,2,23765162,211495524,207910170,76659473,44162180,13105386,5,2,346703866,5,5,205234925,564298995,6342930,4070106,7468197,1,1,1,115624311,538902,35451624,39209980,17117256,6424482,70245230,234604370,326458,175899900,1190226,2,1,2,113143082,8482089,4,11431995,438343674,2,146093794,1,2,2,1}

Returns: "Solution exists"
47

"GLLGGLLLGLLGLLLGLGLGGGLLLLGGGG"

{42,31,20,24,45,2,20,37,6,27,11,22,9,43,33,1,12,44,33,8,13,44,12,37,27,29,8,33,14,37}

{23,3,31,35,30,11,32,22,46,4,14,10,22,21,45,10,22,35,7,46,7,15,2,16,26,39,1,34,34,41}

{5,243166986,55286478,1,1,219721787,72871084,821938,1,37286747,111109807,1,313807,82067680,52235894,2,6261697,1,90086670,1,5,2,84320689,8447870,119995848,2036535,14,1,1,2}

Returns: "Solution exists"
171

"LLLGLLGLLLLLGLLLLLGLGLLGLLGLGLLLGGLLGLGLLLLGG"

{92,47,16,93,130,159,145,159,93,142,37,14,92,150,169,106,136,7,1,143,57,170,110,92,96,24,168,14,83,2,92,0,70,162,117,139,144,131,119,28,139,13,140,56,133}

{129,125,38,29,114,15,105,133,10,79,40,154,36,87,49,70,155,103,144,51,112,18,57,115,132,62,77,104,25,20,103,145,47,102,59,163,154,125,94,3,100,101,85,134,114}

{115513980,376956405,12016986,3,34784925,36484716,1,55141404,71752968,56591934,250563768,16388100,5,8604512,282546390,178777035,34225985,7132860,44,35529282,1,282088514,72064820,1,416931567,4757300,1,52229700,2,61977018,4774140,364685612,45,2,113815074,29506530,4,264342800,3,87168942,35919990,97620320,403650,6,1}

Returns: "Solution exists"
142

"LGGLLGLLGGGGGGGGGGGLGLGGGGGGGLGGGLGGGGGGGGGGGGLGGGGLGGGGLGGGGGGGGLGGGGGGLGLLGGLGGGGGGGGGGGGGLGGGGGGGGGGGLLGGGGGGGGGGGLGGGLGGGGGGGGLLGGGGGLGGLGLGGLGGLGGGGGGGGGGGGGGGGGGGLGGGGLGGGLGGGGGGG"

{16,107,2,21,111,56,118,101,14,24,35,6,58,20,35,86,105,127,126,51,128,132,105,128,133,82,21,133,131,97,6,38,112,110,88,90,4,46,92,92,23,102,1,132,22,113,101,22,85,109,123,104,56,5,107,86,114,136,36,59,30,91,58,10,138,9,16,121,62,114,115,8,40,116,61,50,19,59,87,113,10,103,3,94,4,58,68,122,118,23,123,9,10,89,83,123,42,134,87,84,45,72,39,109,57,112,85,113,130,23,108,80,1,121,65,52,24,118,28,137,82,130,101,25,32,41,86,40,15,111,39,38,45,113,89,47,99,68,87,49,54,131,51,33,104,79,14,64,2,140,42,140,10,134,78,21,33,101,124,69,97,72,69,59,25,64,15,77,45,42,54,138,37,72,77,114,74,40,121,122,10,34,15,29,7}

{102,36,105,129,69,31,63,9,38,104,94,1,2,97,90,134,27,49,119,36,119,114,88,77,5,62,6,140,79,23,86,83,4,126,51,104,33,99,15,102,72,71,138,128,62,78,88,137,44,10,44,6,1,90,91,121,102,141,33,114,117,4,132,72,70,7,49,113,72,77,101,71,35,25,99,72,82,122,63,60,135,24,104,22,20,28,136,54,69,26,25,103,34,19,9,31,78,84,96,4,59,43,74,5,97,58,55,66,47,13,29,112,88,131,7,32,31,1,44,71,66,30,109,66,60,48,74,47,37,28,33,76,12,137,7,66,87,32,70,44,84,31,43,7,57,27,122,3,68,43,77,125,18,87,42,122,75,29,123,104,7,23,14,41,15,106,26,63,64,25,132,135,0,54,133,140,42,97,64,140,21,110,5,134,82}

{11991336,1,2,22775454,29846684,1,70672030,52391550,1,1,2,1,2,1,1,1,10,1,1,49912666,2,150495065,1,176,1,1,3,4,27,158687364,1,4,2,120795555,1,1,1,2,1,1,2,21,4,1,2,1,166177515,1,2,6,1,355620,1,1,1,1,254672040,1,1,1,1,1,1,2,6,249475100,1,1,2,1,1,3,14281544,1,388266,285167366,1,12,18212040,1,3,1,1,2,1,6,1,10,1,1,1,1,142038510,4,10,1,2,1,7,1,3,1,1,3,111645204,142044,2,1,1,1,4,6,1,6,4,6,1,82342156,22,1,1,19676291,3,2,8,1,1,2,3,2,84288428,14136960,1,1,4,2,2,67401096,18,1,4046910,6,133208598,1,3,67096890,5,1,119135778,1,16,5,1,1,2,18,43,3,1,1,4,2,1,6,3,1,1,22,291978471,8,7,3,6,7209370,4,5,1,145077108,1,20,6,1,3,1,1}

Returns: "Solution exists"
162

"GLGGGLGGGLGGGGGGGGGGLGGGGGGGGGGGGGGGGGGGGGGLGGLLGGGGGGGGGG"

{52,57,30,79,75,157,92,19,16,48,78,113,17,35,103,157,21,51,148,96,72,56,45,46,17,128,150,11,78,32,137,27,88,92,39,26,29,56,75,153,52,15,4,43,31,33,130,87,13,144,81,30,72,68,81,126,67,86}

{33,159,81,26,38,4,52,68,94,24,102,115,160,5,133,84,17,84,18,133,157,156,26,50,155,150,8,58,84,60,140,42,39,147,94,58,126,94,143,134,113,124,113,88,159,67,59,79,44,3,122,67,23,87,90,149,34,96}

{1,422333454,1,1,5,327895599,1,1,1,875922127,6,1,1,1,1,3,1,1,1,1,15459258,1,1,1,1,1,1,1,3,1,2,2,1,1,1,1,1,1,1,1,1,2,1,117297410,1,1,486473852,32675804,1,7,1,1,1,4,2,1,1,4}

Returns: "Solution exists"
88

"GLLLLGLGGLGGGLLLGLLLLGLLLLGLLLLLGLLLLGGLGLLLGLLLLGLGLGGLLLLLLGLLGLLGLLLGGLLGLLLLLLGGLLL"

{75,18,28,84,54,54,13,47,63,77,72,82,24,46,39,10,74,72,70,35,58,38,85,53,59,43,63,40,61,56,18,54,69,36,79,57,30,84,76,26,24,59,79,4,16,28,62,32,8,30,51,27,14,87,53,45,10,60,84,12,60,73,4,1,28,44,86,73,46,39,66,55,60,85,73,31,5,69,65,55,38,86,9,42,79,81,71}

{8,15,15,72,62,31,4,79,39,67,82,50,70,86,44,34,86,51,80,50,18,42,84,11,15,6,58,30,23,26,60,19,15,60,1,10,20,58,33,24,49,44,61,83,28,81,11,56,11,29,25,43,17,10,72,16,62,62,51,2,62,37,64,34,64,72,46,33,2,29,72,24,75,48,81,23,9,50,66,28,13,64,24,86,5,15,1}

{1,21294136,9170008,381803210,26777361,1,21081495,1,1,4325664,1,1,1,1148784,12435239,3038670,1,160597405,305135480,76427635,213733190,2,277041858,740073750,10603368,374598874,1,171241506,10982580,188187846,128300824,57179094,1,162087480,21114632,3411840,121953564,1,1,94577208,2,4591962,6597492,31024965,1,4540413,867238125,816807523,41918125,1,10573158,1,168891000,2,1,96667410,524623710,621872472,277864322,28692076,621872472,4,1919145,10868760,1,11245235,1148784,1,20144748,453631605,174754220,4,1,297069240,2125668,2,560366305,7473283,83983196,49847492,378423702,5761392,1,16,173853548,6051576,18229008}

Returns: "Solution exists"
174

"LLLLLLLLLLLLLLGLLLL"

{94,52,116,169,13,5,10,152,120,105,72,133,160,103,74,72,2,162,38}

{98,60,171,41,78,150,64,66,64,51,121,167,57,160,75,63,47,11,126}

{34578805,166281369,372317412,22551858,285471480,322411206,148139662,494940483,37375024,109071152,108374350,37847262,9798224,6382896,2,9699850,457123386,527101790,415184031}

Returns: "Solution exists"
14

"LLLLLLLLLLGLLGLLLLLLLLLLLLGLLGGLLLLGGGLLLGGLLL"

{9,6,6,0,11,9,3,13,5,12,5,0,5,2,13,1,2,0,8,6,12,2,6,7,7,4,7,5,5,7,4,9,5,2,2,0,4,12,9,9,9,13,11,0,7,11}

{12,0,9,2,13,12,10,3,6,10,8,10,6,11,1,2,3,7,7,10,0,10,1,9,0,12,4,10,1,4,12,1,2,9,8,6,8,2,11,12,3,7,1,6,5,6}

{18636072,44116882,5451368,117444986,66693942,18636072,320872090,8253805,14389606,172944618,1,214854442,14389606,1,78792861,119598771,87698485,178809846,112155654,50589242,150818178,134675266,89851854,22094904,178809846,7152138,6,6370826,62233941,6,21,47153496,19153519,14512264,73665514,2,2,1,19956456,18636072,34576360,1,3,44116882,58322418,38027394}

Returns: "Solution exists"
171

"LGLLLLGLLLLLLLLLLLLLLLLLLLLLGLLLLLLGGLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLGLLLLLLGLLLLLLLGLLGLLLLLLLLGLLLLLLLLLLLLLLLLLLLLLLLLLLLG"

{34,56,44,139,27,120,162,92,70,136,57,66,6,95,99,79,122,165,100,11,129,107,14,132,51,28,92,119,59,47,109,11,100,127,50,19,66,152,62,45,147,51,38,18,38,63,85,132,5,170,7,78,22,31,105,50,62,144,139,36,73,17,102,128,69,162,25,125,92,136,71,131,135,72,125,68,6,153,143,69,133,50,54,6,81,73,107,23,82,12,75,26,12,31,158,127,11,120,65,75,102,163,122,36,41,5,37,168,122,49,128,89,65,133,92,76,84,107,153,119,157,50,45,98,11,40,169,110}

{102,46,154,41,104,58,36,106,37,65,34,105,112,91,136,40,70,63,165,162,69,74,108,71,40,101,57,39,16,82,79,157,44,3,159,6,104,126,25,81,86,74,61,162,48,29,74,103,154,24,47,80,99,70,35,62,160,94,49,140,98,142,92,105,40,140,4,90,30,160,99,108,82,60,169,170,61,149,22,138,100,73,111,109,137,165,124,6,53,89,25,37,118,152,165,118,132,165,39,129,121,79,21,73,122,23,127,72,129,44,27,7,4,139,50,36,131,154,54,142,31,23,158,41,26,126,14,61}

{45721047,1,103729516,21844212,37577673,771762,17,163376880,167272478,419006126,208775040,21185652,216329256,96164796,351563282,13871796,171809003,29195650,17307565,315929309,2929157,96729950,3521196,407014800,190286862,130493700,2176640,554438973,2,135266500,150297612,106396977,162119485,77473032,132251356,1,1,35623670,144126340,103421340,29013090,143988175,12318425,66461330,40736745,175393050,138419475,389106800,29250412,318446748,201663000,152948400,34179330,212127909,40127700,49203628,109405348,378874538,1713556,459627470,358097465,56426406,114402480,244712460,9229902,303395090,69357790,7741569,302996880,316850716,429208107,27322644,1,3902015,1601358,52405164,158107775,285352866,6375090,1,400441335,304090820,5481660,292073911,98011188,2619815,166757452,1,42649388,2982448,1,491247966,92178128,38247342,20436955,396535864,265230800,15790830,363816959,1,52823268,83652444,167812520,641902745,538869066,274426884,144565544,3294612,48574169,23877106,53893035,14286888,3664397,44718492,45294160,769588912,433273688,76686508,47305484,269551623,48582471,274080276,38709195,403792698,454781217,176014770,25261614,1}

Returns: "Solution exists"
57

"GGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGLGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGLGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG"

{38,48,11,56,43,44,28,28,7,43,39,7,20,46,16,31,44,53,10,13,11,23,36,48,41,4,13,35,6,12,14,9,27,52,28,24,18,3,43,22,27,30,5,53,20,49,25,39,44,53,0,26,42,43,36,41,40,4,53,23,54,18,14,29,3,15,32,48,6,44,5,50,45,40,45,47,36,24,50,52,21,31,6,21,31,12,53,4,12,47,32,52,5,52,36,13,26,56,55,0,21,38,34,0,54,21,2,48,28,26,36,3,33,21,9,11,33,4,31,31,28,25,3,37,47,11,55,7,29,40,45,43,2,47,54,45,23,55,14,7,35,7,27,44,43,29,33,54,46,24,53,28,36,50,20,0,46,54,52,32,44,37,53,19,43,2,17,41,36,24,12,42,56,44,22,37,36,30,37,36,7,56,46,10,54,35,52,41,13,4,37,18,7,56,42,51}

{56,2,36,53,23,55,42,51,13,26,9,15,37,25,50,4,56,15,49,55,6,42,33,33,31,18,56,24,44,22,46,50,7,15,47,29,13,29,17,17,1,40,55,38,13,22,52,26,35,15,13,1,40,27,21,31,1,35,34,19,37,2,54,52,21,29,12,30,56,47,56,35,4,0,36,50,24,35,11,3,31,52,33,49,36,32,39,2,20,53,21,20,32,37,15,47,50,37,1,19,45,41,15,5,13,5,41,32,47,32,51,49,53,14,5,6,31,42,36,43,7,23,35,46,43,33,44,25,32,34,54,18,7,45,22,48,41,52,29,14,50,26,12,41,54,7,19,41,38,45,47,10,45,22,38,55,56,41,7,50,16,23,16,23,25,1,52,19,21,50,33,10,43,6,6,30,32,42,28,41,26,53,33,56,25,17,33,48,17,10,35,14,34,26,21,28}

{10,8,3,5,1,2,8,8,5,4,1,2,1,2,1,1,2,1,1,1,3,1,1,7,1,1,5,2,8,1,10,1,5,4,1,2,1,1,2,1,1,16,1,5,1,1,28,2,2,551695400,1,1,16,1,1,1,1,1,5,1,2,8,2,4,1,8,1,152,18,11,1,2,1,2,3,1,2,2,1,5,1,14,1,1,2,1,1,1,29024146,1,1,1,19,4,2,1,8,2,1,2,1,5,1,1,1,1,3,19,1,1,2,5,1,1,1,3,7,1,2,2,2,1,1,2,1,7,2,2,1,1,1,4,2,1,1,7,3,2,8,10,2,2,1,1,2,2,1,1,10,1,1,1,3,1,41,2,30,1,10,1,1,1,1,1,4,1,2,1,1,2,1,1,2,8,1,8,1,32,8,15,2,5,1,1,2,2,7,5,1,1,2,8,5,2,1,8}

Returns: "Solution exists"
32

"LLLLLLLLLLLLLLGLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLGLGLLLLLLLLLLLLLLLLLLLGLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLGLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLGLLLLGLLLL"

{16,22,26,29,15,19,11,13,18,9,10,28,0,12,12,18,19,15,15,6,20,15,25,4,26,27,16,29,5,6,26,15,22,15,22,22,18,16,26,19,23,5,15,28,30,31,10,3,18,9,12,10,16,26,29,6,17,14,11,30,28,27,22,26,24,24,12,20,3,11,5,21,28,13,28,21,25,16,11,4,9,13,11,25,12,18,10,27,16,11,13,14,14,15,9,31,4,14,29,18,20,25,19,11,30,18,23,28,23,10,7,15,15,17,30,16,4,19,9,5,19,0,10,29,7,20,20,12,8,9,1,26,16,30,7,18,15,6,19,17,31,20,6,18,19,17,0,31,9,25,19,11,5,3,28,22,31,16,29,2,27,23,28,22,6,17,27,5,18,3,25,2,15,12,9,3,11}

{26,27,16,5,1,16,2,28,26,1,2,23,4,29,2,6,2,29,23,26,4,31,2,27,23,31,31,10,16,23,12,24,20,26,27,6,11,12,27,0,6,4,3,20,13,4,0,23,13,24,0,27,2,14,30,9,28,5,19,19,27,11,24,30,17,18,27,22,16,16,8,12,17,17,29,11,28,12,25,16,24,5,6,10,21,3,4,19,23,19,22,13,5,29,18,0,18,5,4,19,11,5,4,10,2,9,25,31,21,22,14,24,5,27,18,27,23,13,30,13,6,25,12,23,10,26,29,31,4,23,23,1,15,0,9,11,18,13,26,19,6,21,20,27,5,20,24,24,14,27,29,28,7,1,26,2,23,18,23,18,1,25,20,10,15,28,24,26,29,29,26,31,9,14,13,4,25}

{13296300,284383616,13296300,228630590,421290,236240565,9381251,847588400,5149700,161401635,95980467,65962800,12913560,88453835,1,37485338,3686023,5610690,280116,19253300,83908440,6447690,12035386,141146280,5195700,274569910,66799455,194534085,657241890,75640356,20233100,7757874,169059968,641700,284383616,18215296,8467898,254277285,27326300,44420255,75640356,135063720,2202426,206239600,856441635,27454680,105150945,35665092,129982906,330237959,47811695,459723414,3497505,39382900,59334555,397672726,549456400,1,15455143,1,346925200,44933942,332782208,13572300,261612751,62257634,209034314,169059968,114088035,54659355,492800674,177998498,549456400,546201059,58721200,38262494,389615600,254277285,50463226,15,330237959,660015926,31659122,516294042,177998498,53023998,76614120,194206826,87061860,15455143,694790272,497029321,389342774,5610690,106365934,12560285,26599320,389342774,23890680,36598694,53424532,303393134,8826840,36585177,146374305,106365934,120567348,67481200,91417212,463089792,380901135,7757874,6343902,447129554,132123390,686840610,2981880,237237671,700832265,660015926,12439306,145038410,170195559,1,143458005,16244900,284073860,101649335,257475240,214632108,6822180,3125700,5376330,32071935,528385485,8467898,1249362,485970034,18797900,153791341,193453810,285825484,236497492,53203118,185837674,531617884,75562805,160649165,406722619,317056366,82179515,55217200,505806810,26819865,671600,10795136,104410980,129436590,90856980,22215358,161462790,120567348,206239600,463089792,4671018,549456400,330363086,2,45026290,119061255,30688900,57324355,1,150631031,689478331,46890360,50463226}

Returns: "Solution exists"
32

"GGGLGGLLLLLLLGGGLGGLGGLLLLGLLGLGLGLLLL"

{8,26,27,5,28,15,30,15,24,16,14,21,23,22,6,6,22,0,12,18,16,27,9,23,20,12,11,15,2,3,10,0,13,28,30,14,2,10}

{11,25,17,24,13,2,21,29,16,7,4,3,19,8,26,13,15,28,24,27,3,10,19,4,15,5,10,4,13,7,9,7,22,12,0,17,15,6}

{1,1,3,19684404,1,1,185940216,163563277,24471936,21556608,297219480,8276400,38321423,1,1,1,500407528,1,12,48054039,16,33,65614928,184131185,5968519,15174804,11,408638855,176243138,12,89420496,2,287071864,1,53570930,12145800,307217126,65505462}

Returns: "Solution exists"
50

"LLLLLLLLLLLLLLLGLGGGLLLGLLLLLLLLLLGLLLLLLLLLLLLLLLLLLLLLGLLLLLGLLLGLLLLGLLLLLLLGLLLLGLGLLLLLLLLLGLLLLLLLLLLGLLLLLGGLGGLGLLLLLLLLLGL"

{18,24,18,15,34,46,12,15,9,48,2,10,9,9,16,27,9,16,38,3,8,31,4,36,19,25,10,27,26,48,40,13,19,16,20,43,13,5,41,47,0,7,0,3,16,33,14,36,3,31,4,6,2,22,48,29,24,29,21,41,28,2,19,44,23,39,5,17,41,8,25,13,4,31,48,18,23,1,8,36,27,36,20,31,29,4,10,20,5,10,48,23,43,23,3,32,47,49,7,36,28,10,32,17,8,0,44,18,49,23,27,16,17,18,32,32,38,11,10,5,22,40,29,49,35,25,27,14,41,46,44}

{8,48,37,44,47,4,32,14,41,9,35,20,41,42,49,3,49,2,12,44,26,37,17,5,35,16,49,24,40,37,8,37,3,30,13,8,47,25,43,26,22,49,22,4,45,41,1,16,15,6,2,1,35,27,7,19,23,31,39,42,41,40,21,25,29,41,3,22,14,33,0,36,36,37,5,39,38,5,42,24,21,31,4,22,27,8,28,11,35,33,7,26,9,6,42,31,7,45,10,43,34,36,40,33,22,16,3,24,25,41,24,29,21,7,9,31,4,49,28,26,16,37,35,7,37,20,46,31,36,31,34}

{2115960,140823049,2496480,12821388,3842150,8902560,210016695,3949380,21888027,121179961,190504516,5822943,21888027,272180608,66878160,1,271976880,2,1,1,138907736,144867168,913440,4,86055904,133681176,144457680,4379912,349930038,226276192,511518216,154187360,676241632,31936200,1,65312632,43332770,15733476,5571279,46059026,3048072,78028080,3048072,12632160,70259640,17155620,23829705,119003048,11684748,142698060,6826080,62742180,190504516,422392,278124808,49516192,1,93929688,376480090,36745344,40736862,721943286,1,154116549,9912488,49572522,1,16293486,5096835,50279240,3799944,2,2280480,144867168,252505044,12111960,496415290,23693076,53846144,1,3864280,115791372,137760,17389422,8,1209120,1,5945205,88855668,202484220,278124808,363440318,5895379,617421460,562552192,86581530,13,3994320,592925736,61591964,177142550,385572156,180346215,56975820,28756904,6687816,759956009,1,37999440,45317997,4379912,48267496,149061990,8,7,86581530,10,15,480808722,2,35743496,603506208,51628184,78028080,79625824,1531719,5489912,36131490,32667876,1,431711150}

Returns: "Solution exists"
159

"GGLGGGGGLGGGGGLGLGLGGLLGLGLLGGGLLGGGLLGLGGGLGGGGGGGGGGGGLGGGGGGGLGLGGGGGGLLGGGGGGGLLLGLGGLGGLLLLLGGGGGGGLLGGLGGLGGG"

{53,124,112,139,15,75,108,41,146,61,136,16,141,155,82,12,60,131,95,158,116,2,149,70,2,86,57,134,27,51,29,84,45,133,28,107,109,146,85,60,71,56,69,48,23,111,41,1,93,0,36,60,34,8,20,72,102,83,134,12,113,133,123,102,33,138,1,110,27,15,110,70,154,133,4,78,153,49,130,32,154,139,26,102,68,129,126,19,51,76,131,130,75,122,117,90,1,144,82,95,42,120,145,98,122,15,154,6,48,129,96,111,17,146,144}

{135,113,69,104,143,21,53,129,58,154,133,93,5,149,89,84,36,140,152,14,132,112,156,138,41,109,101,112,19,120,8,26,155,122,9,128,90,131,152,37,132,124,39,112,80,89,128,122,123,23,109,82,14,148,106,25,55,86,78,102,8,61,40,134,111,83,80,107,17,42,81,106,122,75,31,56,42,64,134,60,129,35,132,137,44,19,74,138,2,34,129,49,128,127,97,2,46,151,112,126,125,100,131,10,108,63,26,154,114,44,132,31,27,150,39}

{3,2,22157729,2,1,2,3,3,740052170,62,3,1,1,2,14889945,16,391047132,4,619353,1,1,360425428,108741720,1,245868828,2,410746490,297320947,1,1,2,324896,24729900,1,3,2,47923082,15394220,3,563965815,1,2,1,178436962,1,5,1,1,3,1,2,7,5,1,2,1,280464142,2,1,2,2,2,3,7,417757360,1,261232871,2,1,1,1,2,1,235668738,244719702,1,1,3,1,7,3,2,2221164,312345110,25288891,3,403867254,1,1,180449310,1,3,385710898,646214859,119918292,73730284,358857587,1,1,1,12,1,4,1,240825831,181614780,1,3,39535738,1,1,176436720,1,1,2}

Returns: "Solution exists"
129

"GGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGLGGGGGGGLLGGGGGGGLGGGGGGGGGGGGGGGGGGGGGGGGLGGGGGGGGGGGGGGGGGGGGGGGGGGGLGGGGGGGGLGGGGGGGGGGGGGGGGGGGGGGG"

{113,61,26,82,83,34,48,98,107,123,27,25,77,59,66,128,18,78,2,71,77,3,87,65,38,123,21,59,82,22,98,74,85,59,39,47,95,26,124,48,93,100,102,127,110,14,91,63,69,28,116,48,89,127,37,109,88,4,123,118,20,13,43,80,34,57,2,8,66,118,114,97,52,42,63,93,59,69,49,38,84,105,49,62,103,31,41,58,6,59,50,70,119,68,81,62,3,42,77,53,3,10,110,17,121,89,15,45,17,37,9,13,64,73,41,75,100,92,74,4,102,0,110,29,61,28,32,38,30,0,65,2,127,108,98,88,4,45,88,87,32,44,59,78,91,14,94,27,23,98,7,28,0,114,119,103,6,51,127,31,117,101}

{61,116,2,58,54,32,93,38,46,53,108,88,79,34,24,126,99,88,8,97,48,8,19,48,21,128,109,18,123,112,14,50,3,86,95,109,39,54,46,84,23,39,0,7,29,17,40,74,89,22,100,61,11,109,59,22,70,67,127,79,59,75,20,63,13,65,120,81,60,92,17,4,42,121,90,120,95,26,93,95,90,98,33,100,50,50,118,92,117,31,51,29,60,77,8,115,39,125,40,25,35,70,54,28,15,85,4,12,71,44,51,97,46,57,61,23,23,53,77,53,70,39,54,100,104,15,62,71,22,117,12,29,16,1,128,25,105,54,70,56,0,6,95,24,23,115,105,52,34,50,0,107,96,73,103,42,37,124,73,71,25,107}

{1,1,1,4,2,4,1,2,1,1,1,1,1,10,3,5,1,1,5,3,1,2,1,1,2,11,2,1,4,2,1,1,9,2,2,2,2,2,5,1,1,1,3,1,4,1,148,1,1,8,1,2,10,1,5,2,3,1,1,732564,1,26,1,3,12,1,1,2718170,9192660,3,1,1,8,1,1,1,55742770,19,43,38,1,1,1,1,1,1,3,3,1,1,1,4,4,1,5,2,2,19,1,1,1,1829100,2,9,1,15,1,1,3,1,3,3,1,1,3,2,1,1,1,1,12,1,2,1,1,28,4,6,8,251610729,1,1,1,1,1,1,1,2,7406700,1,1,1,2,1,28,7,3,1,4,2,3,18,1,1,5,1,1,1,1,1,1,2}

Returns: "Solution exists"
191

"GLGGLGLGGGGGGGGLGGGLGLGGLGGGGGGGGLLGGGLGLLGGGGLLGLGLGGLGGGGGLGGGGGGGGLGGGLLLGLGLGGGLGGLGGGGLGGGGGGLGLGGGGLGGLGGGGGGGLGGLLGLGGGGGLGL"

{41,135,1,30,173,117,144,168,2,149,147,134,174,190,188,35,177,137,74,75,9,51,185,127,121,13,51,164,68,169,148,49,130,148,32,162,157,55,114,175,99,9,18,119,63,99,174,127,46,91,155,81,184,56,11,147,3,46,17,189,189,16,180,22,157,133,70,0,149,8,60,23,29,32,187,149,189,125,111,134,49,12,40,101,31,84,143,130,4,62,63,52,97,65,171,149,166,157,101,178,48,79,188,146,176,145,179,169,55,54,91,91,96,91,67,190,171,108,127,13,185,184,91,77,156,100,83,72,30,130,102}

{49,109,155,74,130,42,138,46,84,42,86,133,99,121,49,177,34,175,88,166,153,42,30,17,87,42,50,119,24,48,123,179,35,122,71,18,172,17,4,51,168,88,58,70,38,51,12,187,87,180,79,124,75,57,68,112,15,74,74,46,19,169,95,122,50,50,59,190,158,151,132,77,143,91,62,18,111,143,147,129,116,169,178,48,80,90,58,27,74,180,154,114,29,189,62,41,133,119,19,79,134,83,140,95,109,75,63,67,132,161,108,117,2,181,157,81,43,179,90,190,36,5,53,58,50,24,130,59,136,163,34}

{1,14695170,1,4,307221364,1,40860108,1,2,1,1,1,7,4,3,713462899,1,1,1,147173484,8,166420148,1,7,3239148,2,1,2,3,2,1,1,1,287660427,24743297,1,1,1,7455660,1,31341149,2663640,1,17,1,1,494844,3384619,1,280614264,2,509227740,1,1,7183467,1,2,2,4,1,47407758,2,2,1,1,1,1,1,1,7269372,1,2,25,28842329,24009120,30160427,1,140908750,3,38642994,21,2,44,7633488,1,1,197136250,2,30,24,1,9863068,1,1,1,1,1,1,242800944,2,24000492,1,1,2,1,42416592,1,2,108190900,1,1,1,6,1,1,1,562121469,1,7,4359272,51393133,1,100761969,1,1,24,1,1,27067744,1,154954864}

Returns: "Solution exists"
121

"LLLLGGLLGLLLGLLLLLGLLLLLLLLLLLGLLGGLLLLLLLLLLGGLLLLLLLLLLLLLGLL"

{32,34,60,19,33,108,12,66,104,98,11,79,1,0,75,119,49,0,41,115,95,118,18,66,78,22,40,8,105,108,88,22,51,28,10,83,99,56,78,119,16,100,71,13,105,42,76,98,4,88,12,111,91,77,10,17,46,60,39,79,73,96,1}

{30,7,98,18,117,36,70,98,47,44,93,10,2,1,12,22,74,46,97,80,38,11,120,68,106,23,73,23,97,76,13,26,106,44,72,76,22,107,69,7,66,113,18,37,21,120,102,24,31,39,78,64,54,76,71,93,80,35,91,3,117,49,39}

{140249626,51595666,131138,213807786,6,3,588935568,6202607,1,268888,53347560,549436466,4,173217828,245856624,5838025,32948880,331488010,2,83015800,7303498,41897352,20503362,78292435,210452990,19566350,13015475,819970,12442780,43594524,2,52781325,23077010,1,1,13498812,231887150,144201145,713736,4855010,207511538,507761094,205715550,184103000,233316460,2,2,8359772,29575616,36942,290728464,36292,430218324,25120740,202113650,10530030,38641400,43171534,104896809,357221040,1,103001064,126858828}

Returns: "Solution exists"
132

"LLLLLLLLLLGGGLLLLLLLGLLLLLLLLLLGLLLLLLLLLGGLLLLGLGLGLLLLLGGLLLLGGLLLLLGGLLLLGGGLLLLLLGGLLLLGLGGGLLLGGGLGG"

{75,17,51,18,123,5,62,40,86,59,78,37,34,44,16,41,16,53,24,1,85,121,60,66,62,15,37,108,66,70,63,81,73,126,29,111,63,6,5,78,30,23,47,64,33,130,72,58,30,21,37,20,33,102,102,114,81,113,108,131,3,79,113,71,61,79,119,61,109,129,54,3,114,17,15,73,131,85,81,107,62,89,10,62,115,26,78,98,116,71,60,48,102,20,107,83,115,63,41,30,124,121,19,104,98}

{67,73,103,89,10,65,111,9,24,105,101,25,94,67,41,18,27,8,7,58,9,83,55,32,125,125,39,118,113,98,46,50,25,92,84,37,15,114,38,64,103,43,3,93,117,47,31,18,56,81,100,7,124,10,127,93,123,105,48,101,29,64,80,10,104,110,59,30,13,34,61,24,97,27,13,110,96,0,116,32,120,26,78,105,103,91,51,0,109,81,57,31,10,15,81,115,57,60,114,72,28,38,31,71,97}

{108742790,1138536,5054091,7100028,32502846,134208156,23318020,19925762,1213920,226359360,2,6,1,89371080,37602330,14218308,194576370,259502495,267231,255515030,1,5060500,120186570,410841405,155908930,291160232,43641936,169328148,145373085,23391864,8416192,1,467208,83605977,22295676,54122640,20413888,166156050,68921195,9234260,1209590,2,1,7659480,6305360,143648379,13907064,2,10445930,1,50494704,3,6979846,14230590,280276590,76357464,295334367,1,1,7578268,585716196,1690155,180514554,2,2,100861785,1215486,4053630,7587036,487817694,14,1,44018082,6070686,68849176,96095160,1,1,1,357152316,13510660,69401490,38679844,29013440,9806408,1,7,4642088,39890412,266717010,109696195,3,14230590,8,1,4,39060488,151238080,16541286,2,1,5,107184729,2,1}

Returns: "Solution exists"
126

"LLLLLLLLLLGLLLLLLLLGLLLLLLLLGLLGLGLLLLLGLLLGLLLLLLLLLLLLGLLLLLLLLLLLLLLLLLLLLLLLLLLLLGLLLLLLLLLLLLLLLLLLLLLLLLGLLLLGLLLLLLLGLLLLLLGLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLGLLLLLLLLLLLLLLLLLLLLL"

{64,110,92,31,114,101,55,54,68,95,6,50,65,91,121,6,75,51,36,60,10,77,28,56,68,99,28,2,66,11,10,65,93,4,111,50,91,78,0,123,7,18,20,119,16,60,45,9,20,69,4,45,32,71,39,102,113,10,34,81,6,44,3,12,38,27,12,119,56,95,117,56,1,16,41,52,107,45,63,57,45,4,16,84,83,108,74,62,114,29,111,11,85,52,88,121,4,51,113,23,64,25,70,25,12,66,77,87,55,89,98,93,91,60,15,1,42,43,83,4,100,99,23,73,80,64,67,106,22,1,123,6,73,62,56,10,29,101,27,52,93,68,98,106,118,38,85,98,56,40,12,81,18,121,45,12,68,48,23,26,108,25,122,7,46,108,29,76,50,114,39,105,101,46,27,80,90,40,83,84,40,101,64,16,59,85,101,16}

{58,115,102,61,42,92,78,111,75,105,23,10,3,111,77,87,73,38,124,66,28,54,96,26,76,77,37,60,48,110,34,17,50,72,71,91,71,22,7,1,12,45,2,4,61,11,5,69,38,80,30,62,82,47,125,28,50,63,78,29,29,125,12,10,105,44,62,16,29,35,114,111,63,10,106,46,70,57,42,74,115,114,69,111,5,51,41,58,99,52,121,27,31,67,64,5,100,69,21,108,10,26,104,83,59,71,72,25,9,104,24,52,117,1,19,109,39,45,33,42,108,87,7,56,71,3,1,100,14,96,93,120,14,41,42,75,39,86,96,83,36,42,7,1,41,1,3,78,105,0,17,11,40,77,16,32,86,16,88,27,1,82,98,94,29,119,66,37,25,39,62,24,24,24,101,29,103,17,82,73,108,33,93,43,58,93,26,5}

{255268674,230291510,138895374,1528736,225523879,55824912,13495869,42481010,6611004,462616230,1,87037418,16165668,243904210,22972653,23131290,123984,17035984,37653120,1,12575082,26849394,11372646,42365975,93861924,39647718,32265366,18918581,1,416506048,111087860,1,163830,2,70873110,49727866,60236190,60146091,873984,1,296448,72691374,37257135,2,31498016,255817408,137406934,328222625,303145140,559523723,168452402,128294810,50512638,61347510,128986341,13474542,1,27222104,71888580,30173668,8570310,572055712,1512348,6152068,163140924,837540768,9152060,110584340,17151650,337997555,228804037,41650675,1233176,66333956,637284160,5348880,153186006,85710240,29592808,43924320,81760210,607974682,193424788,98461660,342387302,7,378251065,519699490,60969286,2283210,36347245,793851072,53876834,8928945,12729078,189528119,657391746,96294128,621090719,39525759,92806974,131102940,646009764,324400980,8157724,18032490,29998188,71626620,36965125,117915084,131,2070,80032634,206138581,34458480,1,56318163,268115050,250460208,202315702,23054031,6972134,24709632,1,318565170,7604838,569925501,657560640,266126334,158705347,6,26915280,3833424,646832510,67354825,17643366,14341206,8504496,209356143,27909810,17280,155206308,1408512,514410560,481727898,362113324,47499873,9457938,154271550,6602676,1007460,26699456,25981356,22972653,45041164,704836,81392388,206676596,105498546,791440005,54105597,221857260,18031888,42751488,5700304,65282490,1,321365499,131391660,169240533,154138710,231337878,240082128,60253712,199392336,53118274,18716390,5047740,745960458,4631760,9503676,2656368,58230,206227100,231618073,727410,561029040,105689828}

Returns: "Solution exists"
145

"GGLGGGLLGGLLLGLGLGLLGGLGLGGGGGLLLGLLLLGGLLGGGLLGLGGGLGGGLGGGGLLLGLLLGLGLLLLGLLGLLLGLLLLLLLLGGLGLGGLGGLLLGGGLLLLGGLGLLGGGLGGLLGGLGLLGLLGLLGLGLLLGLLGLLLLGLGLLGLGLLLGLGGGGLLLGGGLLLGGGGGLGLGGL"

{56,97,15,44,122,13,26,130,68,141,139,134,140,89,108,81,139,35,19,24,97,29,128,32,119,65,140,4,97,138,126,35,93,17,24,144,12,92,94,84,69,137,101,47,58,98,50,0,66,101,144,26,86,74,24,81,46,96,99,87,49,119,118,87,105,53,107,47,75,131,111,61,110,96,119,135,116,46,95,123,118,138,137,19,92,122,23,35,83,110,37,57,60,77,124,106,53,64,34,104,132,30,84,93,97,40,6,115,134,4,122,30,142,100,14,42,34,68,85,78,119,118,1,65,120,54,29,123,9,34,91,133,33,61,107,128,66,6,58,137,91,0,112,52,10,62,1,65,15,98,98,8,62,8,21,33,47,48,131,37,111,41,99,118,5,76,7,110,56,101,71,46,123,51,141,52,136,79,132,67,93,75,57,59,124,69,96,124}

{90,12,132,57,144,60,70,65,55,13,52,78,33,16,86,73,131,54,34,44,31,125,91,10,112,23,41,114,95,16,3,16,89,120,90,119,25,80,93,3,112,6,84,83,56,8,48,54,132,2,116,31,75,66,67,53,13,104,70,70,134,23,19,39,139,77,12,29,102,129,71,143,141,35,32,140,106,122,39,142,14,14,114,32,122,129,75,52,77,54,55,69,45,26,97,35,127,138,132,105,75,142,108,50,68,42,87,41,138,94,142,136,127,94,142,106,63,141,74,127,126,59,58,28,76,113,62,141,55,121,93,108,40,96,7,103,136,65,125,34,112,61,99,70,142,34,39,129,135,54,68,53,35,127,84,82,139,94,133,57,140,70,62,67,108,59,87,67,60,111,124,41,118,66,98,132,25,102,78,16,18,143,130,81,104,48,64,98}

{2,10,467351115,1,2,2,284570,91962078,1,2,21308768,223470,28792104,1,43449120,1,174206708,1,836830566,17428665,2,2,2270379,1,4458110,1,4,1,1,1,331781536,146944231,111330605,1,64530220,4824716,27104670,3334332,1,2,7243690,125127618,1,1,1,15210764,125726880,1,18725630,1,2,1,109281120,2,1,3,23461840,1,26,11,2,1932602,480813278,224884968,2,7618296,32913140,3402140,1,135689479,1,392393456,26990304,10512446,18595071,2,3034794,27626128,1,161201865,1182673,29041882,2,22169466,3054108,26846122,13821990,77148064,12478508,254722336,27827590,1,1,12404665,40,64795514,2,2,636152517,1,1,12109768,45649890,329615085,1,2,11,32740652,67046730,151680868,23001022,2,1,241314660,1,4571206,41083029,1,2,1,29439367,1,91,15637875,22376398,1,1,236579970,1,240605001,352445055,33,532993098,97505744,52,9056751,103598110,1,416843154,3,35217690,205373872,18618470,2,13780514,32793111,1,83375463,530262570,228991489,263235011,4,29722791,2,18125170,18861843,1,34644640,1,85451590,19556872,1221220,1,14791513,2,1,1,11,6662826,188631662,395066880,4,1,5,533805162,204312416,134598114,2,1,1,1,13,86334222,1,44398080,5,2,444741120}

Returns: "Solution exists"
177

"GGGLLLGLLGGGGLGGGLGLLGLLGGGLGGLLGGLLGGGGGGGGGGLLGLGGGLLLGLLLGLGLGGGLLGGGGGGLLLGLGGGGLGGGGGLGGGGGGGGGGGGLLGLLGLGGLLGGGLGGGGGGLGGGLGGGGGGGLGGGGGGLGGLLGGLGGGLGGGLLGLG"

{76,12,52,166,3,82,2,96,64,170,126,18,7,10,161,22,12,175,65,75,53,16,121,83,32,99,132,108,41,11,56,136,84,157,176,95,42,140,41,42,152,61,52,94,17,39,44,106,141,129,17,21,42,108,65,167,55,82,97,85,5,77,169,25,163,36,89,33,35,72,85,171,105,101,82,14,145,30,154,18,11,10,158,140,138,93,73,115,57,161,116,34,72,113,160,33,124,147,49,10,141,111,76,71,88,7,164,160,11,92,152,37,143,130,164,108,176,110,73,60,104,140,18,58,3,74,92,149,19,138,88,20,95,20,92,82,140,128,19,23,156,32,81,55,16,1,23,99,58,30,27,128,148,90,91,80,84,103,52,49,136,110,147}

{22,143,106,80,155,122,119,66,157,132,49,20,72,149,134,56,96,109,36,117,44,47,64,104,8,21,136,169,92,142,174,3,36,32,45,70,82,16,160,113,29,137,3,110,54,7,7,39,15,9,16,39,4,30,157,120,60,10,60,149,86,139,80,135,27,48,112,38,117,120,40,149,19,41,2,44,130,174,132,33,174,159,79,81,52,59,31,73,61,40,68,44,7,145,169,129,101,43,46,51,27,0,145,167,97,115,136,63,108,71,71,66,32,166,70,45,38,71,172,41,75,68,113,92,158,32,1,59,56,21,64,101,78,37,165,70,74,115,103,57,126,107,145,152,50,83,100,150,112,55,118,1,31,174,52,140,35,13,69,56,49,22,151}

{1,1,1,19872375,131329632,597870910,1,6942600,706067340,2,5,1,3,64704668,1,1,1,13587641,1,52689175,353895648,1,124755972,21935041,1,1,2,1287750,4,2,67751376,456782898,1,1,536707206,302157614,1,1,4,1,3,2,1,2,2,2,48889182,17287120,3,517514,1,1,1,14526750,202347215,6289830,4,96943028,290049928,312576957,1,747656,5,9785650,4,1,1,74989755,131190829,1,3,1,30,12,1,25464816,106779159,235217136,1,706334913,2,2,3,1,13481348,1,1,3,1,1,2375716,2,3,1,10,1,3,1,41,1,1,1,1,1337220,422820642,6,243744072,331676800,2,1803936,6,19,38493851,9671895,1,2,1,27976740,1,4,1,1,1,1,37866441,1,1,1,80504970,1,6,9,2,17,2,1,41336664,33,39,1,5,1,1,224758428,1,1,154967767,38827420,1,1,73364908,1,2,16,215061942,1,1,1,119339451,25161290,11,48580510,1}

Returns: "Solution exists"
149

"LLLLLGLGGGLLLLLLLLLLLLGLLLLLG"

{144,6,105,16,62,29,19,96,91,70,135,17,132,2,10,19,110,18,15,102,39,8,54,141,138,25,20,135,39}

{77,88,124,91,109,52,84,61,55,135,60,109,109,147,40,6,125,114,50,48,20,123,110,34,71,142,121,44,0}

{4557876,36809665,50533146,7317162,204080037,1,53507610,1,1,1,372876810,416520030,73909611,7897211,58141608,123887790,37954224,79633230,343916060,123417210,9350418,332949495,1,28416,533559074,108269220,13347894,83895574,1}

Returns: "Solution exists"
182

"GGGLGG"

{85,47,155,14,77,134}

{100,170,68,59,151,64}

{1,5,5,43508289,1,1}

Returns: "Solution exists"
82

"GGGGGLGLLGGLGGGLGGGGGGGGGGLGGGGGGGGGGLLGGLGLGLLGLGGGGGGGGGGLLG"

{53,32,47,24,28,27,25,6,70,40,52,48,73,49,73,70,15,73,40,75,77,13,54,37,54,10,43,70,32,63,7,37,39,30,21,44,48,42,36,50,46,65,72,78,15,58,59,51,7,40,40,5,43,59,71,40,29,54,34,14,1,7}

{54,35,54,42,34,78,13,51,47,76,9,16,8,75,56,0,48,76,12,13,71,72,62,4,68,27,24,50,59,56,27,33,11,23,68,26,41,34,38,15,4,13,41,61,18,14,32,38,76,44,23,35,33,66,58,66,5,3,65,4,9,64}

{1,1,1,1,1,227236218,1,98871124,12578700,1,1,102251930,1,4,2,7475,1,1,1,1,1,1,1,1,1,6,379864555,1,1,1,3,1,1,1,3,1,1,2175915,46874896,1,1,47537016,3,337304374,1,16076033,22884340,1,247474035,1,1,1,1,1,1,1,1,1,3,16235861,46628346,1}

Returns: "Solution exists"
183

"LLLGGLGLGGGGL"

{9,85,29,38,100,160,102,113,71,145,123,38,132}

{59,117,173,21,121,141,120,139,14,25,110,43,179}

{29498179,30314655,13029408,1,2,28590900,1,439841895,1,1,1,9,14638218}

Returns: "Solution exists"
165

"GGGLGGLGGGGGGLGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGLGGGGGGGGGGGLGLGGGGGGGGGGGGGGGGGGGGGGGLGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGLGGGGGGGGGGLGGGGGGG"

{81,28,25,40,75,2,88,68,144,69,26,16,149,24,146,32,159,23,73,144,156,159,146,20,37,148,75,27,28,59,125,43,150,100,115,92,11,18,73,41,40,100,121,4,55,58,7,6,31,48,156,15,23,59,125,139,58,88,73,13,111,77,93,62,37,159,26,85,41,32,137,159,79,42,13,82,7,39,60,123,146,11,104,86,126,154,155,85,159,105,112,46,85,121,57,131,76,157,27,156,61,15,115,150,7,34,28,14,24,38,25,50,110,0,71,27,164,46,80,77,50,4,133,117,66,7,36,19,156,28,142,146,146,2,81,60,66,102,4,110,67,136,137,23,152,0,23,117,68,134,137,157,66,163,159,159,139,117,7,40,158,0,112,80,82,59,5,104,81,135,84,40,3,139,19,21,110,125,144,98}

{98,147,50,127,26,140,45,95,146,34,127,46,26,84,65,140,36,2,0,44,154,87,10,43,148,111,155,118,34,29,42,41,58,147,6,1,110,32,27,15,139,20,82,16,93,49,20,112,59,98,148,47,126,99,88,81,94,33,124,123,72,5,155,157,140,9,25,62,69,110,45,85,76,153,135,69,117,76,29,128,44,65,64,14,111,114,154,4,12,121,35,29,2,21,28,128,49,94,136,106,96,116,96,28,19,103,125,122,103,85,54,38,125,55,40,66,137,162,2,135,158,149,153,105,6,145,147,97,80,100,26,56,117,25,56,66,105,69,133,66,54,161,17,117,65,36,129,54,43,105,39,81,128,23,92,37,30,136,22,47,97,7,22,134,102,95,22,92,151,70,107,123,12,72,73,7,151,119,115,82}

{2,5,1,58909503,12,1,45477091,1,3,1,3,1,1,334270522,15,2,1,1,1,1,1,1,15,1,5,1,6,3,5,10,1,1,1,2,9,1,1,1,3,45,3,4,1,2,1,2,2,3,1,4,5,3,1,1,11,3,4,157,3,2,1,1,1,18,10,1,10,111583242,1,2,1,1,1,1,1,1,1,1,16,83656160,5,18018900,1,2,1,1,3,1,1,4,3,1,1,1,1,2,1,4,7,1,2,12,36,1,1,4374895,1,1,1,1,14,43,4,2555,1,1,2,1,1,1,1,1,1,1,1,26,1,1,1,1,6,1,3,1,2,1,1,1,1,1,2,7,2,1,1,1,5,1,1,2,2,6,1,1,1,1,1,1,1,3,1,48693190,1,2,1,50,1,1,6,1,2,1,17887398,1,3,1,12,4,3,1}

Returns: "Solution exists"
120

"GGLG"

{43,74,108,57}

{44,61,4,25}

{1,1,12172000,1}

Returns: "Solution exists"
38

"GGGGGGGGGGGGGGGLGGGGGGGGGGGGGGG"

{20,26,10,18,2,37,12,4,16,0,36,24,18,28,15,6,20,19,5,34,8,28,17,29,31,32,31,19,14,26,34}

{21,37,14,28,7,9,13,33,19,5,5,0,4,7,29,19,15,22,24,21,26,1,31,4,21,34,26,18,35,7,21}

{1,1,2,2,3,1,4,1,4,1,1,1,7,1,1,26666136,2,1,1,1,1,2,1,1,1,1,2,4,23,1,1}

Returns: "Solution exists"
47

"GGGLGLLGGLGLGGGLLGLGLGGLGGLGLLLGLLLLLLLGLGLL"

{45,20,25,21,8,13,31,42,12,22,28,13,15,20,32,5,8,33,40,1,9,29,42,31,10,45,22,44,6,16,22,32,13,45,15,18,31,17,36,31,41,2,34,15}

{3,23,40,13,27,2,40,23,43,2,36,41,9,36,37,18,38,38,38,37,30,12,14,42,46,41,24,12,12,10,17,31,27,11,31,25,24,33,25,18,17,36,18,8}

{1,11,3,39651144,1,52058488,64907328,1,1,180768140,2,20790520,1,1,10,91708609,693811916,2,314419308,1,274695245,1,1,168841920,1,5,156879940,1,43310404,1556554,19469940,2,165015240,37182640,2948160,385218474,118261056,32953380,189471318,1,12580860,2,682724869,29928930}

Returns: "Solution exists"
55

"LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLGLLLLLLLLGLLLLLLLLL"

{14,30,31,45,54,10,29,38,40,5,48,20,24,53,19,18,27,32,25,34,8,16,49,30,14,42,24,16,28,44,27,24,19,32,44,28,45,30,15,53,8,8,46,24,41,37,5,15,32,21,54,33,5,24,3,1,21,14,37,6,49,22,42,46,15,30,38,51,15,50,21,26,33,27,45,22,29,25,20,46,32,2,52,53,52}

{18,8,14,35,1,6,22,51,27,32,11,30,44,12,54,13,15,38,13,45,25,24,31,45,36,16,25,50,23,38,37,31,21,6,47,15,40,20,2,48,11,40,1,43,16,3,9,50,7,18,6,8,4,35,34,37,23,52,15,3,36,5,0,29,4,6,30,28,39,35,53,20,27,18,9,0,51,27,35,27,53,31,49,29,28}

{28920892,12791546,6921964,146504358,6646191,297178826,147301019,42801021,18221775,341442360,339597727,148591522,2135907,900519,501464926,499740956,2468647,649733049,36778815,75157082,2007090,837456,1353836,205754263,4276482,39406320,95265,22435408,31432506,95764707,48863240,929436,14466538,41533331,865159371,20769182,1855425,148591522,14484957,40583247,27528662,16495050,197825559,533265,71520272,99020680,12755520,34099004,91382151,14345188,369634783,45006494,23792760,432306,20919668,197667480,3557982,30090319,41788280,181528732,5854926,457232760,131058990,143540821,6699783,109626377,1,20769182,18538827,69488748,3460902,1125558,49717837,30126668,489238464,1,7246111,2217195,52901226,48902317,2051301,42308436,5885231,10667193,263710006}

Returns: "Solution exists"
17

"LLLLGGGGGLGLLGLLGLGLLLLLLLGGLGLGLLLLGLLGLGGLGGGLLLLGGLLLLLGLLGGL"

{10,16,11,1,15,11,14,7,2,4,9,10,10,3,15,15,5,5,0,14,12,8,9,8,6,4,7,0,7,2,4,4,7,4,13,9,0,15,13,6,14,0,8,6,15,6,8,14,8,3,6,5,8,14,13,4,12,15,5,15,15,14,12,3}

{5,14,7,0,9,2,15,6,14,16,8,5,5,6,9,12,2,6,3,8,2,10,0,16,7,14,16,9,13,0,3,15,4,11,7,1,9,9,16,13,4,13,14,2,0,9,2,0,11,16,2,1,10,8,0,2,10,7,2,13,3,9,15,14}

{89391108,169474422,9434454,3939632,15,6,1,29,1,219211278,35,89391108,89391108,2,52235610,300243270,12,5073492,2,20363840,80468832,9432640,47649840,20879040,12739178,106901069,1,1,67160520,16,204912334,1,313389109,4162686,67160520,114855090,1,52235610,7829640,2,106901069,8,1,55226208,2,1,32,16436528,396480,162427746,55226208,2,2,20363840,569520,93695712,85053778,792334230,12,2497320,259037490,1,1,158419766}

Returns: "Solution exists"
190

"GGGGGLLGLLLGLGLGGLGGGLGLGLGGGLGLLGGGLGLGGGGGGLGGGGGLGGGLLGLLGGGGLGLLGGGLLGGGLGGLGGGGGLGGGLGGG"

{35,155,4,3,133,163,49,95,48,47,126,80,140,80,79,156,5,169,153,12,3,173,22,189,36,169,142,58,183,184,100,106,116,3,73,21,143,158,19,42,23,175,98,23,25,185,70,84,21,110,110,44,30,83,57,116,124,62,104,121,130,142,181,81,135,45,15,55,49,157,10,168,48,79,144,97,127,105,57,62,43,84,39,39,79,148,108,96,133,73,26,19,115}

{37,134,161,71,106,22,25,137,50,31,56,161,64,22,84,1,131,3,39,160,152,127,31,62,2,142,37,19,3,18,93,152,172,35,2,23,33,57,45,171,57,85,22,103,180,174,176,17,123,67,150,155,84,175,52,58,59,151,152,154,119,69,160,135,63,54,52,189,60,152,110,88,62,4,77,65,62,180,125,178,23,111,159,11,3,130,139,150,120,93,125,0,40}

{5,1,1,1,1,537490625,1016294,3,5633430,84633120,74587690,3,45195734,1,142391789,2,1,587024277,1,1,1,325277508,1,264242565,1,14428113,1,1,1,581885370,2,122705781,53207660,1,1,1,280757452,1,67950706,1,1,1,1,1,2,422838603,24,1,2,1,1,4639557,1,2,4,510996508,23671998,1,175905432,10623020,4,3,1,1,37236908,1,40602628,746055,34,1,1,46596550,13478565,1,1,23,484726812,2,5,421868636,1,1,1,2,1,190824100,2,2,1,51404772,1,1,1}

Returns: "Solution exists"
76

"GLLGGGGGLGGGLGGLGLGGGGGGGGLLLGGGLGGGGGLGGLGGGLGGGGGGGGLGGLGGGGGGGGGGGGGGLLGLLGGGGLLLGLGGLGGGGLLGGGGGLLLGGLLGGGGGGGGLGGGGLGGLLLGGGGGGGLGGGGGLGLGGLLLG"

{48,58,57,30,73,29,11,55,42,21,48,10,42,58,42,10,24,55,44,68,27,54,49,24,17,5,30,61,65,28,62,31,24,44,46,55,73,34,12,62,56,63,72,18,16,23,60,70,43,73,41,15,40,65,4,15,70,69,24,16,58,51,16,43,4,12,13,70,69,3,71,23,15,71,13,11,70,70,22,68,28,53,9,59,1,28,33,46,8,32,10,37,49,44,70,2,12,1,56,31,42,66,65,12,22,71,8,53,45,56,8,17,54,57,64,51,8,56,58,4,5,6,27,5,14,50,55,7,39,23,4,21,67,60,60,37,7,70,36,38,47,3,54,49,30,37,12,48}

{45,64,73,68,61,52,73,56,23,40,22,37,34,75,30,9,59,41,17,12,75,20,51,27,43,31,51,71,21,0,44,22,13,16,55,40,23,41,58,59,61,11,15,59,28,66,20,56,22,74,65,26,0,36,9,41,20,27,16,28,16,60,3,52,56,0,57,5,22,54,67,19,1,31,6,19,51,48,28,6,37,54,27,4,51,74,59,19,40,63,30,69,75,69,33,44,6,35,21,71,58,48,60,33,0,5,41,70,18,31,13,25,58,71,23,61,23,66,21,14,16,58,21,46,1,20,11,32,31,60,71,33,12,11,38,49,29,51,49,37,44,13,67,29,46,52,36,20}

{2,32369568,42894219,3,1,1,1,1,40387776,1,3,1,29916480,1,3,73233362,3,398020065,13,1,1,1,1,2,1,1,23746995,15621180,49108016,1,1,1,70571130,1,1,3,1,1,17799276,1,1,159443883,4,1,1,198076034,1,1,3,29,1,1,1,16,50103516,17,1,96351920,1,1,1,1,19,3,1,76,1,1,1,18,2,1,80580,30070020,19,335108733,2174355,3,9,1,27,105318594,36084506,136964988,5,14857425,1,1,316111332,3,1,1,1,6544720,38287197,1,19,316,1,1,318912,45523410,55144304,1,1,9525012,254072548,3,1,1,1,1,6,3,1,29605410,1,1,1,3,531366388,11,1,200215372,716597940,9669891,1,22,1,1,12,1,2,576355127,1,1,10,9,1,67872357,1,21039840,2,1,474084558,162667953,1514528,1}

Returns: "Solution exists"
186

"LLLGLLGLLLLLLLLGLLGLLGLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLGLLLLLLGLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLGLLLLLLLLLL"

{89,113,90,183,133,3,175,159,154,89,87,35,164,167,161,52,49,181,131,50,7,96,73,147,171,177,136,51,34,5,50,184,163,180,178,121,9,179,63,92,26,145,36,6,123,143,87,17,116,22,126,167,154,139,17,9,118,177,178,11,176,56,66,176,116,78,27,159,108,93,78,72,61,127,123,167,145,135,63,170,52,17,120,103,103,90,16,59,47,149,1,70,10,65,182,63,148,172,15,146,168,149,37,152,65,52,81,9,182,167,44,152,95,141,158,7,26,88,148,14}

{29,89,176,73,110,179,173,169,152,25,97,128,7,0,108,11,184,166,82,138,135,27,37,70,86,153,1,161,89,143,130,127,69,99,171,129,154,132,27,77,113,118,130,20,69,69,121,163,161,69,143,6,15,25,166,179,146,120,55,37,8,5,127,81,9,26,178,87,178,9,135,29,154,33,159,83,175,52,139,43,89,79,111,109,170,112,156,177,182,152,91,143,112,142,166,105,2,38,46,121,110,64,1,155,182,94,101,109,85,106,16,174,151,16,24,82,85,181,127,168}

{661050,121725,119506570,3,237990720,784062554,2,522915217,76600706,1275975,26474354,1380722,19617844,8116030,52032486,1,51811104,585823126,1,154635390,36866134,1,787800,536229784,40800264,180055590,3433899,3697386,781200,460550602,6400659,233741024,63889480,24559122,30741060,403349224,17191118,290875856,71599240,19009536,46416177,9668280,25816884,109229211,19798760,181381880,329497006,186676239,120628464,93487240,289774629,34343010,902512,27396601,630978537,57074591,240729663,128351080,91288260,8076900,47976526,2,184499106,82601550,47956048,569234496,26867820,570509122,1,340732,241853504,132048410,66621006,219715914,58151609,161080920,151241560,678973578,57314984,77495630,2095425,563017548,93393480,8749970,34717070,14423420,419582000,337234040,518286600,26481,8897595,355022776,3099228,235919220,483404600,12397880,3517618,7708572,4661488,371482819,3164480,175463106,689325,53350388,484517400,527600076,13367925,4045202,877400,5,683027000,15279537,320893006,103544500,2742635,26421589,9380472,710358194,147758182,4452660}

Returns: "Solution exists"
91

"GGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGLGGGG"

{70,44,28,33,70,54,22,81,7,4,68,63,50,89,67,5,78,35,36,45,32,48,90,51,52,19,84,68,22,67,40,75,62,10,74,32,55,55,59,10,59,62,44,78,78,20,1,89,23,74,3,1,60,81,8,65,24,53,26,78,25,3,16,45,13,23,70,11,51,53,90,17,55,48,3,35,43,47,36,26,81,48,63,40,48,80,71,17,90,22,38,81,68,31,56,25,12,59,62,20,76,25,53,57,7,77,7,85,78,30,74,59,51,90,17,82,85,47,36,78,56,61,45,36,17,87,29,14,48,61,66,19,75,38,56,74,67,59,82,51,0,61,80,60,53,85,1,53,3,40,74,30,39,65,48,9,76,78,42,31,20,47,56,26,1,54,29,88,45,87,35}

{21,53,43,46,87,65,27,56,8,78,69,74,35,16,9,83,56,85,45,52,19,44,47,39,4,38,18,72,66,2,16,8,3,21,28,70,85,70,48,43,62,7,51,44,11,60,67,84,18,1,87,18,50,13,0,47,31,37,28,9,78,58,58,0,41,56,54,64,62,38,18,88,88,85,16,48,74,45,79,82,36,43,17,62,8,27,81,6,54,79,53,29,48,58,21,30,40,9,9,50,36,18,84,89,25,39,54,59,80,72,67,21,32,71,77,12,47,28,60,35,46,23,31,15,90,44,25,0,1,57,35,77,56,35,22,20,58,78,60,82,74,59,11,80,84,11,10,59,13,34,0,83,79,40,6,70,46,88,1,9,78,9,59,45,71,74,49,3,2,63,70}

{4,1,1,9,44,2,3,2,1,1,1,1,3,1,1,1,2,3,1,8,1,1,1,1,1,1,2,5,47,5,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,2,1,2,1,1,14,3,20,1,2,37,7,1,1,1,1,1,8,20,2,2,1,1,1,1,1,1,1,1,1,5,4,3,1,1,1,1,1,1,6,2,1,1,45,1,20,1,1,2,27,1,1,1,1,1,3,1,1,1,1,1,1,2,1,5,4,3,1,1,2,1,1,3,1,2,2,1,1,1,1,1,8,1,1,1,1,1,617,1,1,1,20,6,6,1,2,1,6,1,1,7,1,1,1,1,1,1,1,1,1,2,8,1,1,1,1,2,1,14,1,17158380,1,5,22,1}

Returns: "Solution exists"
35

"LLLLLLLLLLLLLGLLL"

{2,6,24,26,8,22,19,9,1,28,4,27,10,34,14,12,23}

{30,5,16,15,30,28,9,8,26,21,32,25,9,3,34,7,21}

{328236251,150410130,167304816,395878910,40237673,48619308,10850256,30574782,140031570,41331054,41685972,53855898,44876898,1,50751008,6080802,14495517}

Returns: "Solution exists"
3

"GL"

{0,0}

{1,2}

{3,1000}

Returns: "Solution does not exist"
5

"GLGLGLGLGL"

{0, 0, 1, 1, 2, 2, 3, 3, 4, 4 }

{1, 1, 2, 2, 3, 3, 4, 4, 0, 0 }

{6, 12, 6, 12, 6, 12, 6, 12, 6, 12 }

Returns: "Solution does not exist"

Statistics

Problem Statement for "GCDLCM"

Problem Statement

Definition

Constraints

Examples