NavigationMatrixPatterns - MusterSolution - Lösungsolutions for higher cubes and other types - Lösungen für größere Würfel und andere TypenLinksspeedcubing - Schnelldrehendiary - Tagebuchpoetry - Poesiequicklink speedcubing - Schnellzugriff Schnelldrehenagainst righteous - gegen Rechtsabout me - über michmail to Admin - email an den AdministratorImpressumJF-system compared by web authors - JF-System-Vergleich über Web-Autoren
Deutsch 5D täuschende Musterenglish 5D cheating patterns
Corners Moved Straight - Edges Moved Straight 1Corners Moved Straight - Edges Moved Straight 2Corners Moved Straight - Edges Moved Diagonal P1Corners Moved Straight - Edges Moved Diagonal P2Corners Moved Straight - Edges Moved Diagonal M2Corners Moved Straight - Edges Moved Diagonal M1CMD1 EMS1CMD2 EMS1Corners Moved Diagonal 2 - Edges Moved Diagonal P1Corners Moved Diagonal 1 - Edges Moved Diagonal P1Corners Moved Positive - the long arm is the 'arrowpeak'Corners Moved Negative - the long arm is the 'arrowpeak'Corners Moved ParallelCorners Moved CrossEdges Moved Positive - the long arm is the 'arrowpeak'Edges Moved Negative - the long arm is the 'arrowpeak'Edges Moved ParallelEdges Moved CrossG-Permutation - Nose UpG-Permutation - Hand UpG-Permutation - Hand DownG-Permutation - Nose DownEdges Flipped NeighboursEdges Flipped OppositeEdges Flipped AllCorners Twisted StraightCorners Twisted NeighboursCorners Twisted DiagonalCorners Twisted PositiveCorners Twisted NegativeCorners Twisted RegularCorners Twisted IrregularCorners Moved Straight - Twisted StraightCorners Moved Straight - Twisted NeighboursCorners Moved Straight - Twisted DiagonalCorners Moved Straight - Twisted PositiveCorners Moved Straight - Twisted NegativeCorners Moved Straight - Twisted IrregularCorners Moved Straight - Twisted Regular
Twisting Corners & Flipping EdgesCorners Moved StraightCorners Moved DiagonalCorners Moved Positive - the long arm is the 'arrowpeak'Corners Moved Negative - the long arm is the 'arrowpeak'Corners Moved ParallelCorners Moved CrossFlipping EdgesEdges Moved StraightEdges Moved DiagonalEdges Moved Positive - the long arm is the 'arrowpeak'Edges Moved Negative - the long arm is the 'arrowpeak'Edges Moved ParallelEdges Moved Crossbest browser - Bester Browsercolor distribution - Farbverteilung
patterns by opposite swap - Muster durch gegenseitigen Tauschpattern index - Muster Indexpatterns by two axis swap - Muster durch 2-Achsen-Tauschpattern index - Muster Indexpatterns on two hemispheres by 1 axis cycle - Muster auf 2 Orientierungen, 1 Achsepattern index - Muster Index4 site cycle by 1 axis - Drehung von 4 Seiten durch 1 Achsepattern index - Muster Indexcycle of 6 sites by 1 axis - Drehung von 6 Seiten um 1 Achsepattern index - Muster Indexcheating swaps - betrügerisches Tauschenpattern index - Muster Indexpatterns by illegal swap - Muster durch illegalen Tauschpattern index - Muster Indexcollections - Sammlungenpattern index - Muster IndexDeclinations - Deklinationenpattern index - Muster IndexPrinting those Patterns
cheating swaps - betrügerisches Tauschen7D - odds / unregelmäßigepattern index - Muster Index7D - bars / Balkenpattern index - Muster Index7D - letters / Buchstabenpattern index - Muster Index7D - odds / unregelmäßigepattern index - Muster Index7D - flips of edges / Wendungen von Kantenpattern index - Muster Index7D - twists of corners / Eckendreherpattern index - Muster Indexirregular 3 bars outside - 3 irreguläre Außenbalkenpattern index - Muster Indexbs1 - flipping one edge by handpattern index - Muster Indexbs1 - flipping one edge by handpattern index - Muster Indexbs1 - flipping one edge by handpattern index - Muster Indexpattern index - Muster Index
letters - Buchstabenpattern index - Muster IndexSandwiches - belegte Brotepattern index - Muster Indexbars - Balkenpattern index - Muster Indexbirds - Vögelpattern index - Muster Indexsnakes - Schlangenpattern index - Muster Indexangles - Winkelpattern index - Muster Indexboards - Schachbretterpattern index - Muster Indexbones - Knochenpattern index - Muster Indexchains - Kettenpattern index - Muster Indexcycles - Drehungenpattern index - Muster Indexpattern index - Muster Index
suitcase angle - Koffereckenpattern index - Muster Indexcorners - Eckenpattern index - Muster Indexcube in cube - Würfel im Würfelpattern index - Muster Indexseparated slices - getrennte Scheibenpattern index - Muster Indexedges & corners - Kanten und Eckenpattern index - Muster Indexrotors - Rotorenpattern index - Muster Indexsquares - Quaderpattern index - Muster Indexstripes - Streifenpattern index - Muster Indexvarious - verschiedenepattern index - Muster Indexcommata - Kommatapattern index - Muster Indexpattern index - Muster Index
odd commata with corners - ungerade Kommas mit Eckenodd commata with corners back - ungerade Kommas mit Ecken hintenU²BRD²L'D²R'B²LBU²
U² B R D² L' D² R' B² L B U² (11,16)
4 swapped corners - 4 getauschte Ecken4 swapped corners back - 4 getauschte Ecken hintenB'U'R²UB'L'BU'R²UB'LB²
B' U' R² U B' L' B U' R² U B' L B² (13,16)
a strange distribution of 6 edges - eine eigenartige Verteilung von 6 Kantena strange distribution of 6 edges back - eine eigenartige Verteilung von 6 Kanten hintenL²FL'FU'F'DR²D'L'ULFUF²L'
L² F L' F U' F' D R² D' L' U L F U F² L' (16,19)
two edges, two corners, swapped in space diagonal - zwei Kanten, zwei Ecken , in einer Raumdiagonale getauschttwo edges, two corners, swapped in space diagonal back - zwei Kanten, zwei Ecken , in einer Raumdiagonale getauscht hintenL²F²DL²D'F²UF²R²DB²U'R²
L² F² D L² D' F² U F² R² D B² U' R² (13,21)
horizontal ring with two corners in a space diagonale - horizontaler Ring mit zwei Ecken in einer Raumdiagonalehorizontal ring with two corners in a space diagonale back - horizontaler Ring mit zwei Ecken in einer Raumdiagonale hintenL²D'R²F²U'R²s²U'F²U'D²LUR²B'D'R²F²B'D'R
L² D' R² F² U' R² B² F² U' F² D² U' L U R² B' D' R² B' F² D' R (19,33)
L²F'D²L²B'R'aDL²F²DR'aF'U²
L² F' D² L² B' L' R' D L² F² D L' R' F' U² (13,21)
90° ring, 180° ring, two edges in a space diagonal - 90° Ring, 180° Ring, zwei Kanten in einer Raumdiagonale90° ring, 180° ring, two edges in a space diagonal back - 90° Ring, 180° Ring, zwei Kanten in einer Raumdiagonale hintens²DF²L²F²U²B²R²F²DLB'ReB'LF'
B² F² D F² L² F² U² B² R² F² D L B' R D U' B' L F' (17,28)
U²mB²D²Be'R'U²Ls'U'
U² L R' B² D² B D' U R' U² L B F' U' (11,18)
neighboured edges and corners in a swap - benachbarte Kanten und Ecken in einem Tauschneighboured edges and corners in a swap back - benachbarte Kanten und Ecken in einem Tausch hintenF²DF²R²U²B²L²U'L²U²B²U'L²U'L'FL²F'LU'R²
F² D F² R² U² B² L² U' L² U² B² U' L² U' L' F L² F' L U' R² (21,33)
RD'L'FLD²R²BRB'RD'R'
R D' L' F L D² R² B R B' R D' R' (15,17)
up and down ring of edges, 2 corners corners in a space diagonale - Auf und Ab Ring von Kanten, 2 Ecken in einer Raumdiagonaleup and down ring of edges, 2 corners corners in a space diagonale back - Auf und Ab Ring von Kanten, 2 Ecken in einer Raumdiagonale hintenR²DR²D'R²B²U'B²UF²U'F²R²
R² D R² D' R² B² U' B² U F² U' F² R² (13,21)
RBRB²L²DLB'LB²R²
R B R B² L² D L B' L B² R² (15,19)
four vertical edgs in a cycle, two corners swapped vertical backward - vier vertikale Kanten in einem Kreis, zwei Ecken hinten vertikal vertauscht four vertical edgs in a cycle, two corners swapped vertical backward back - vier vertikale Kanten in einem Kreis, zwei Ecken hinten vertikal vertauscht hintenF²UL²U'F²L²UB²U'F²UB²R²sUR²U'
F² U L² U' F² L² U B² U' F² U B² L² R² U R² U' (16,27)
two edges, two corners swapped in a space diagonal - zwei Kanten, zwei Ecken in einer Raumdiagonale vertauschttwo edges, two corners swapped in a space diagonal back - zwei Kanten, zwei Ecken in einer Raumdiagonale vertauscht hintenD'B²U²B²D'B²L²F²UL²UB²D'R'FD'F²DF'R'
D' B² U² B² D' B² L² F² U L² U B² D' R' F D' F² D F' R' (20,29)
BR²F²RU'F'U²F'R'U'F²UR'B'R'
B R² F² R U' F' U² F' R' U' F² U R' B' R' (15,19)
two edges, two corners swapped in a space diagonal - zwei Kanten, zwei Ecken in einer Raumdiagonale vertauschttwo edges, two corners swapped in a space diagonal back - zwei Kanten, zwei Ecken in einer Raumdiagonale vertauscht hintene'R'Ux'LD²L'D'LD²R'DL'D'RxU'Re
e' · R' U · x' · L D² L' D' L D² R' D L' D' R · x · U' R · e (15,17) Bastelei
two corners swapped top diagonale, four edges in an odd cross - zwei Ecken oben diagonal vertauscht, vier Kanten in einem seltsamen Kreuztauschtwo corners swapped top diagonale, four edges in an odd cross back - zwei Ecken oben diagonal vertauscht, vier Kanten in einem seltsamen Kreuztausch hintenFU²BD²B²U²R²BU²FL²FeF'U'FD'
F U² B D² B² U² R² B U² F L² F D U' F' U' F D' (17,25) Herbert Kociemba's Cube Explorer
R'U²B²L'DR'B²LU'LU'F²L'
R' U² B² L' D R' B² L U' L U' F² L' (13,17) Herbert Kociemba's Cube Explorer
two corners top swapped, two edges bottom swapped - zwei Ecken oben vertauscht, zwei Kanten unten vertauschttwo corners top swapped, two edges bottom swapped back - zwei Ecken oben vertauscht, zwei Kanten unten vertauscht hintenFU²L²F'D²B'R²F'B²R²F²D'B'L²U'F²U'F
F U² L² F' D² B' R² B² F' R² F² D' B' L² U' F² U' F (17,27) Herbert Kociemba's Cube Explorer
R²sFL²B'UBLU'FUF²L'R²
L² R² F L² B' U B L U' F U F² L' R² (12,15) Herbert Kociemba's Cube Explorer
two edges and two corners in a space diagonal - zwei Kanten und zwei Ecken in einer Raumdiagonaletwo edges and two corners in a space diagonal back - zwei Kanten und zwei Ecken in einer Raumdiagonale hintenR²B²UBU'BR'URBR'U'R'
R² B² U B U' B R' U R B R' U' R' (13,15) Herbert Kociemba's Cube Explorer
four edges and four corners in a kind of a diagonal - vier Kanten und vier Ecken in einer Art von Diagonalefour edges and four corners in a kind of a diagonal back - vier Kanten und vier Ecken in einer Art von Diagonale hintenR²B²RaFL²F'aD²L²B'm'
R² B² L R F L² F' B' D² L² B' L' R (13,18) Herbert Kociemba's Cube Explorer
ring with 2 corners - Ring mit 2 Eckenring with 2 corners back - Ring mit 2 Ecken hintenDR²F²UL²F²UF²D²L²D'L'D'BUR²BU'F²U²R'
D R² F² U L² F² U F² D² L² D' L' D' B U R² B U' F² U² R' (21,31) Herbert Ko#iemba's Cube Explorer
R'D'F'R²UFR'B'DBLRFeF'
R' D' F' R² U F R' B' D B L R F D U' F' (15,17) Herbert Kociemba's Cube Explorer
2 swarms and 2 birds - 2 Vogelschwärme und zwei Vögel2 swarms and 2 birds back - 2 Vogelschwärme und zwei Vögel hintenB²D'L²UL²B²D'L²UF²R²UR²UF'LD'LR²'D'R²D²
B² D' L² U L² B² D' L² U F² R² U R² U F' L D' L R² D' R² D² (21,33) Herbert Kociemba's Cube Explorer
L²URBD²RU²R²F'LDF²DR'B²U²
L² U R B D² R U² R² F' L D F² D R' B² U² (16,23) Herbert Kociemba's Cube Explorer
three and three edges and two corners #1 - Drei und drei Kanten und zwei Ecken #1three and three edges and two corners #1 back - Drei und drei Kanten und zwei Ecken #1 hintenF²DL²F²UF²U²R²U'B²R²U'F²R²U²R'U'L²UR'U'
F² D L² F² U F² U² R² U' B² R² U' F² R² U² R' U' L² U R' U' (21,33) Herbert Kociemba's Cube Explorer
three and three edges and two corners #2 - Drei und drei Kanten und zwei Ecken #2three and three edges and two corners #2 back - Drei und drei Kanten und zwei Ecken #2 hintenB²L²UR²DF²D'B²U'R²B²D'LU'L'F²RU'B'U²'DR'
B² L² U R² D F² D' B² U' R² B² D' L U' L' F² R U' B' D U² R' (21,31) Herbert Kociemba's Cube Explorer
three and three edges and two corners #3 - Drei und drei Kanten und zwei Ecken #3three and three edges and two corners #3 back - Drei und drei Kanten und zwei Ecken #3 hintenB²D'B²UB²U'B²UB²U'R²U'FRs'R'B'U²'DB²U²
B² D' B² U B² U' B² U B² U' R² U' F R B F' R' B' D U² B² U² (20,31) Herbert Kociemba's Cube Explorer
R'F²RF²U²B²R'F²RB²RF²RB'DB'DLU²R²D²
R' F² R F² U² B² R' F² R B² R F² R B' D B' D L U² R² D² (21,31) Herbert Kociemba's Cube Explorer
R²B²R²F²U'L²D'B²D²R²F²U'B²U²F'LF²DFLUD²'
R² B² R² F² U' L² D' B² D² R² F² U' B² U² F' L F² D F L D² U (21,35) Herbert Kociemba's Cube Explorer
UF²DB²R²DL²U'B²R²F²U²L²B'L'BL'D'R²U²L²
U F² D B² R² D L² U' B² R² F² U² L² B' L' B L' D' R² U² L² (21,12) Herbert Kociemba's Cube Explorer
4 jumping edges and corners - 4 springende Kanten und Ecken4 jumping edges and corners back - 4 springende Kanten und Ecken hintenL²DB²UF²L²UR²UF²U'B²UR²U'
L² D B² U F² L² U R² U F² U' B² U R² U' (15,23) Herbert Kociemba's Cube Explorer
2 commata, 4 edges #1 - 2 Kommata, 4 Kanten #12 commata, 4 edges #1 back - 2 Kommata, 4 Kanten #1 hintenR²B²U'F²D'B²DB²D'B²U'D²F²U²B'R²sF'L²U²
R² B² U' F² D' B² D B² D' B² D² U' F² U² B' L² R² F' L² U² (18,33) Herbert Kociemba's Cube Explorer
D'F²UD²'F'DFD'L²D'F'D'FL²F²U'
D' F² D² U F' D F D' L² D' F' D' F L² F² U' (15,21) Herbert Kociemba's Cube Explorer
2 corners 2D, 2 edges diagonal - 2 Ecken 2D, 2 Kanten diagonal2 corners 2D, 2 edges diagonal back - 2 Ecken 2D, 2 Kanten diagonal hintenD'R²DR²U²R²B²U'B²R²U'mF'R²FR'aU'
D' R² D R² U² R² B² U' B² R² U' L R' F' R² F L' R' U' (17,27) Herbert Kociemba's Cube Explorer
U'R²F'RF'L'B²L'D²B²L'F'L'F'U'
U' R² F' R F' L' B² L' D² B² L' F' L' F' U' (15,19) Herbert Kociemba's Cube Explorer
6 corners, mixed odd edges - 6 Ecken, 4 gemischte Kanten6 corners, mixed odd edges back - 6 Ecken, 4 gemischte Kanten hintenU²B²D'B²L²U'D²R²F²U'F²L²R'UF'L²FU'R'
U² B² D' B² L² D² U' R² F² U' F² L² R' U F' L² F U' R' (17,29) Herbert Kociemba's Cube Explorer
2 corners in space diagonal, 2 edges in horizontal diagonal - 2 Ecken in einer Raumdiagonale, 2 Kanten in einer horizonjtalen Diagonale2 corners in space diagonal, 2 edges in horizontal diagonal back - 2 Ecken in einer Raumdiagonale, 2 Kanten in einer horizonjtalen Diagonale hintenB²U²F²U²L²B²D's²U'B²D'R'UF'L²FU'R'
B² U² F² U² L² B² D' B² F² U' B² D' R' U F' L² F U' R' (18,29) Herbert Kociemba's Cube Explorer
R²DR'U'BUR²D²FDF'DR'D'R²
R² D R' U' B U R² D² F D F' D R' D' R² (15,19) Herbert Kociemba's Cube Explorer
odd edge and corner cycle - ungerader Ecken- und Kantenzyklusodd edge and corner cycle back - ungerader Ecken- und Kantenzyklus hintenFLU'LF²U'B'U²'DFU'F'D'F²UB²L'
F L U' L F² U' B' D U² F U' F' D' F² U B² L' (16,21) Herbert Kociemba's Cube Explorer
4 wandering corners, 4 swapped edges - 4 wandernde Ecken, 4 getauschte Kanten4 wandering corners, 4 swapped edges back - 4 wandernde Ecken, 4 getauschte Kanten hintenL²DB²UF²L²UR²UF²U'B²UR²U'
L² D B² U F² L² U R² U F² U' B² U R² U' (15,23) Herbert Kociemba's Cube Explorer
rotors with flipped edges #1 - Rotor mit gewendeten Kanten #1rotors with flipped edges back #1 - Rotor mit gewendeten Kanten #1 hintenF²B'D²sL²U²s'R²DFaD'F'aD'F'
B' F² D² U² L² U² B F' R² D B F D' B' F' D' F' (12,23) Herbert Kociemba's Cube Explorer
ULUaL'U'aRB²U²B²R'aU'
U L D U L' D' U' R B² U² B² L' R' U' (11,17) Herbert Kociemba's Cube Explorer
not nice swapped - kein schöner Tauschnot nice swapped back - kein schöner Tausch hintenF²L²U²B'R²FL²F'R²U²FR²sF'U'FUR²FUB
F² L² U² B' R² F L² F' R² U² F L² R² F' U' F U R² F U B (20,31) Herbert Kociemba's Cube Explorer
R²BUR²F'aUL²BD'L²UFU²F'U'
R² B U R² B' F' U L² B D' L² U F U² F' U' (15,21) Herbert Kociemba's Cube Explorer
F²sRU²LU²B²R'U²F²U²R²B'L'D'L²URUF²R'
B² F² R U² L U² B² R' U² F² U² R² B' L' D' L² U R U F² R' (20,32) Herbert Kociemba's Cube Explorer
F²L²F²sD²R²F²U'L²B²R²DR'eB'ReBU²
F² L² B² F² D² R² F² U' L² B² R² D R' D U' B' R D U' B U² (18,32) Herbert Kociemba's Cube Explorer
DRU'm'FL'sDB'U'
D R U' L' R F L' B' F D B' U' (10,12) Herbert Kociemba's Cube Explorer
two assymetric cycles and two corners #1 - zwei assymetrische Zyklen und zwei Ecken #1two assymetric cycles and two corners #1 back - zwei assymetrische Zyklen und zwei Ecken #1 hintenB²L²UR²DF²D'B²U'R²B²D'LU'L'F²RU'B'U²'DR'
B² L² U R² D F² D' B² U' R² B² D' L U' L' F² R U' B' D U² R' (21,31) Herbert Kociemba's Cube Explorer
D'RU²BDB'L'e'BU'R'BRDL'U²
D' R U² B D B' L' D' U B U' R' B R D L' U² (16,19) Herbert Kociemba's Cube Explorer
two assymetric cycles and two corners #2 - zwei assymetrische Zyklen und zwei Ecken #2two assymetric cycles and two corners #2 back - zwei assymetrische Zyklen und zwei Ecken #2 hintenB²D'B²UB²U'B²UB²U'R²U'FRs'R'B'U²'DB²U²
B² D' B² U B² U' B² U B² U' R² U' F R B F' R' B' D U² B² U² (20,31) Herbert Kociemba's Cube Explorer
DF'ULD'F²Ds'RFR'D'B'D'F²U'
D F' U L D' F² D B F' R F R' D' B' D' F² U' (16,19) Herbert Kociemba's Cube Explorer
chain surrounding two edge cycles #1 - Kette umrundet zwei Kantenzyklen #1chain surrounding two edge cycles #1 back - Kette umrundet zwei Kantenzyklen #1 hintenL²DR²F²D'B²R²DR²U²L²B²U²R'D'B²U²R'F'LD'R
L² D R² F² D' B² R² D R² U² L² B² U² R' D' B² U² R' F' L D' R (22,34) Herbert Kociemba's Cube Explorer
U'aL²F'R²sB'L²B²L'F²sR'B²U'a
D' U' L² F' L² R² B' L² B² L' B² F² R' B² D' U' (12,24) Herbert Kociemba's Cube Explorer
chain surrounding two edge cycles #2 - Kette umrundet zwei Kantenzyklen #2chain surrounding two edge cycles #2 back - Kette umrundet zwei Kantenzyklen #2 hintenR²D'F²DB²U²R²B²U²L²F²D'F'DL²U²FRB'DF'
R² D' F² D B² U² R² B² U² L² F² D' F' D L² U² F R B' D F' (21,32) Herbert Kociemba's Cube Explorer
U'aF²L'F²sR'F²R²F'R²sB'R²U'a
D' U' F² L' B² F² R' F² R² F' L² R² B' R² D' U' (12,24) Herbert Kociemba's Cube Explorer
6 corners, 6 edges - 6 Ecken, 6 Kanten6 corners, 6 edges back - 6 Ecken, 6 Kanten hintenLAbR'U²LF'LFB²AlB²LF'L'
L B F R' U² L F' L B² F L R B² L F' L' (13,19) Herbert Kociemba's Cube Explorer
corner lift - Eckenaufzugcorner lift back - Eckenaufzug hintenF²L²DR²D'B²D²F²R²DL²B²U²
F² L² D R² D' B² D² F² R² D L² B² U² (13,23) Herbert Kociemba's Cube Explorer
corner lift simple - einfacher Eckenaufzugcorner lift simple back - einfacher Eckenaufzug hintenUR²UL²D'B²R²U'B²UL²U'F²R²U²
U R² U L² D' B² R² U' B² U L² U' F² R² U² (15,24) Herbert Kociemba's Cube Explorer
near 2D chessboard #1 - beinahe 2D Schachbrett #1near 2D chessboard #1 back - beinahe 2D Schachbrett #1 hintenBsL²R'B'UB'RD'FUF²RU'L'U'D²R²U'
B F' L² R' B' U B' R D' F U F² R U' L' D² U' R² U' (16,23) Herbert Kociemba's Cube Explorer
near 2D chessboard #2 - beinahe 2D Schachbrett #2near 2D chessboard #2 back - beinahe 2D Schachbrett #2 hintenL'FD'B'L²BDF²R²FD'R'U²mU²D'L²U'
L' F D' B' L² B D F² R² F D' R' U² L R' D' U² L² U' (17,25) Herbert Kociemba's Cube Explorer
B²D²L²DR²D'B²R²D²L²U'R²UB²R²U'
B² D² L² D R² D' B² R² D² L² U' R² U B² R² U' (16,27) Herbert Kociemba's Cube Explorer
F²U'L²UB²D'F²D²F²R²D²F²U'B²U'R²
F² U' L² U B² D' F² D² F² R² D² F² U' B² U' R² (16,27) Herbert Kociemba's Cube Explorer
a deal between 2 corners and 2 edges - ein Handel zwischen 2 Ecken und 2 KantenF²RBL'BL²U²BRBRF²D²R
F² R B L' B L² U² B R B R F² D² R (14,19) Herbert Kociemba's Cube Explorer
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