No, for me commutators are intuitive moves. Like entire solves, they are groups of groups of moves that are in the "whole 3x3 substep". My definition is incomplete, but I knew you were going to understand it anyway.
No, you aren't
I also did, but I've learnt the optimal algorithms instead of the 2-gen one.
No, for me commutators are intuitive moves. Like entire solves, they are groups of groups of moves that are in the "whole 3x3 substep". My definition is incomplete, but I knew you were going to understand it anyway.
No, you aren't
...
What do you think about this J-perm: R' U' R F2 R' U R F' R' U' R F' R' U R F' ?
Credit to DGraciaRubik for the idea of a J-perm made by treating pairs like pieces, and for writing this quite simple algorithm:
(r' D' r) U (r' D r) U (r' D' r) U2 (r' D R)
On this thread.
I transformed it into the algorithm you see above using this tool.
Maybe this one be better: R' F' R D2 R' F R D' R' F' R D' R' F R D'
OneHundredByOneHundredByOneHundredCubeRandomStateScramblerFactory
oneHundredByOneHundredByOneHundredCubeRandomStateScramblerFactory =
new OneHundredByOneHundredByOneHundredCubeRandomStateScramblerFactory();
OneHundredByOneHundredByOneHundredCubeRandomStateScrambler
oneHundredByOneHundredByOneHundredCubeRandomStateScrambler =
oneHundredByOneHundredByOneHundredCubeRandomStateScramblerFactory
.newOneHundredByOneHundredByOneHundredCubeRandomStateScrambler();
UUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLLDRURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUUURRRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUUURRRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUUURRRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUUURRRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUUURRRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUUURRRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUUURRRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUUURRRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUUURRRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUUURRRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUUURRRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUUURRRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUUURRRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUUURRRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUUURRRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUUURRRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUUURRRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUUURRRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUUURRRRRRRRRRDDDDDDDDDD
probably too far for me again
fix the black pieces in position so they cant move. the 12 and 86 cant be solved in less than 6250 moves1 2 3 4 5 6 7 8 9 10 11
38 13 14 15 16 17 18 19 20 21 22
23 24 25 26 27 28 29 30 31 32 33
34 35 36 37 12 39 40 41 42 43 44
45 46 47 48 0 50 51 52 53 54 55
56 57 58 59 86 61 62 63 64 65 66
67 68 69 70 71 72 73 74 75 76 77
78 79 80 81 82 83 84 85 60 87 88
89 90 91 92 93 94 95 96 97 98 99
100 101 102 103 104 105 106 107 108 109 110
111 112 113 114 115 116 117 118 120 119 49
and heres the optimal solutation
Code:UUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLDLDDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUURRDDDDDDDDRRUUUUUUUUUULLLLLLLLLLDRURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUURURRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUUURRRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUUURRRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUUURRRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUUURRRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUUURRRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUUURRRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUUURRRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUUURRRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUUURRRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUUURRRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUUURRRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUUURRRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUUURRRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUUURRRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUUURRRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUUURRRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUUURRRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUUURRRRRRRRRRDDDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUULLDDDDDDDDLLUUUUUUUUUURRRRRRRRRRDDDDDDDDDD
and heres the graph of the gods algorithm depth table
