problem
stringlengths 875
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| is_unique_solution
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stringclasses 3
values | next_player
stringclasses 2
values | currect_board_visualization
stringlengths 146
146
| board_visualization
stringclasses 1
value | problem_number
int64 0
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|---|---|---|---|---|---|---|---|
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at F. Then Bob places a black stone at A. Then Alice places a white stone at K. Then Bob places a black stone at J. Then Alice places a white stone at L. Where should Bob play next? | G | true | blocked | Bob | ...*------*------B
../|...../|...../|
./.|..../.|..../.|
B------*------*..|
|..*---|--*...|..W
|./....|./....|./
|/.....|/.....|/
*------W------W
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 0 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at C. Then Bob places a black stone at H. Then Alice places a white stone at F. Then Bob places a black stone at L. Then Alice places a white stone at G. Where should Bob play next? | B | true | blocked | Bob | ...*------W------*
../|...../|...../|
./.|..../.|..../.|
*------*------*..|
|..B---|--W...|..B
|./....|./....|./
|/.....|/.....|/
*------W------*
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 1 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at A. Then Bob places a black stone at E. Then Alice places a white stone at B. Then Bob places a black stone at H. Then Alice places a white stone at C. Where should Bob play next? | D | true | blocked | Bob | ...*------W------*
../|...../|...../|
./.|..../.|..../.|
W------W------*..|
|..B---|--*...|..*
|./....|./....|./
|/.....|/.....|/
B------*------*
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 2 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at G. Then Bob places a black stone at C. Then Alice places a white stone at I. Then Bob places a black stone at D. Then Alice places a white stone at L. Where should Bob play next? | B | true | blocked | Bob | ...B------B------*
../|...../|...../|
./.|..../.|..../.|
*------*------W..|
|..*---|--W...|..W
|./....|./....|./
|/.....|/.....|/
*------*------*
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 3 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at C. Then Bob places a black stone at D. Then Alice places a white stone at E. Then Bob places a black stone at I. Then Alice places a white stone at H. Where should Bob play next? | B | true | blocked | Bob | ...B------W------*
../|...../|...../|
./.|..../.|..../.|
*------*------B..|
|..W---|--*...|..*
|./....|./....|./
|/.....|/.....|/
W------*------*
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 4 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at A. Then Bob places a black stone at B. Then Alice places a white stone at C. Then Bob places a black stone at L. Then Alice places a white stone at E. Where should Bob play next? | G | true | blocked | Bob | ...*------W------*
../|...../|...../|
./.|..../.|..../.|
W------B------*..|
|..*---|--*...|..B
|./....|./....|./
|/.....|/.....|/
W------*------*
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 5 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at A. Then Bob places a black stone at E. Then Alice places a white stone at B. Then Bob places a black stone at F. Then Alice places a white stone at D. Where should Bob play next? | C | true | blocked | Bob | ...W------*------*
../|...../|...../|
./.|..../.|..../.|
W------W------*..|
|..*---|--*...|..*
|./....|./....|./
|/.....|/.....|/
B------B------*
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 6 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at E. Then Bob places a black stone at B. Then Alice places a white stone at F. Then Bob places a black stone at J. Then Alice places a white stone at G. Where should Bob play next? | H | true | blocked | Bob | ...*------*------B
../|...../|...../|
./.|..../.|..../.|
*------B------*..|
|..*---|--W...|..*
|./....|./....|./
|/.....|/.....|/
W------W------*
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 7 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at B. Then Bob places a black stone at K. Then Alice places a white stone at C. Then Bob places a black stone at L. Then Alice places a white stone at D. Where should Bob play next? | A | true | blocked | Bob | ...W------W------*
../|...../|...../|
./.|..../.|..../.|
*------W------*..|
|..*---|--*...|..B
|./....|./....|./
|/.....|/.....|/
*------*------B
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 8 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at A. Then Bob places a black stone at G. Then Alice places a white stone at E. Then Bob places a black stone at K. Then Alice places a white stone at F. Where should Bob play next? | B | true | blocked | Bob | ...*------*------*
../|...../|...../|
./.|..../.|..../.|
W------*------*..|
|..*---|--B...|..*
|./....|./....|./
|/.....|/.....|/
W------W------B
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 9 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at G. Then Bob places a black stone at F. Then Alice places a white stone at H. Then Bob places a black stone at J. Then Alice places a white stone at K. Then Bob places a black stone at L. Where should Alice play next? | B | true | blocked | Alice | ...*------*------B
../|...../|...../|
./.|..../.|..../.|
*------*------*..|
|..W---|--W...|..B
|./....|./....|./
|/.....|/.....|/
*------B------W
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 10 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at A. Then Bob places a black stone at B. Then Alice places a white stone at D. Then Bob places a black stone at C. Then Alice places a white stone at K. Then Bob places a black stone at J. Where should Alice play next? | I | true | blocked | Alice | ...W------B------B
../|...../|...../|
./.|..../.|..../.|
W------B------*..|
|..*---|--*...|..*
|./....|./....|./
|/.....|/.....|/
*------*------W
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 11 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at A. Then Bob places a black stone at C. Then Alice places a white stone at F. Then Bob places a black stone at G. Then Alice places a white stone at K. Then Bob places a black stone at J. Where should Alice play next? | L | true | blocked | Alice | ...*------B------B
../|...../|...../|
./.|..../.|..../.|
W------*------*..|
|..*---|--B...|..*
|./....|./....|./
|/.....|/.....|/
*------W------W
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 12 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at C. Then Bob places a black stone at B. Then Alice places a white stone at D. Then Bob places a black stone at E. Then Alice places a white stone at J. Then Bob places a black stone at F. Where should Alice play next? | A | true | blocked | Alice | ...W------W------W
../|...../|...../|
./.|..../.|..../.|
*------B------*..|
|..*---|--*...|..*
|./....|./....|./
|/.....|/.....|/
B------B------*
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 13 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at H. Then Bob places a black stone at B. Then Alice places a white stone at I. Then Bob places a black stone at C. Then Alice places a white stone at J. Then Bob places a black stone at F. Where should Alice play next? | G | true | blocked | Alice | ...*------B------W
../|...../|...../|
./.|..../.|..../.|
*------B------W..|
|..W---|--*...|..*
|./....|./....|./
|/.....|/.....|/
*------B------*
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 14 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at F. Then Bob places a black stone at G. Then Alice places a white stone at H. Then Bob places a black stone at I. Then Alice places a white stone at K. Then Bob places a black stone at L. Where should Alice play next? | B | true | blocked | Alice | ...*------*------*
../|...../|...../|
./.|..../.|..../.|
*------*------B..|
|..W---|--B...|..B
|./....|./....|./
|/.....|/.....|/
*------W------W
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 15 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at D. Then Bob places a black stone at C. Then Alice places a white stone at G. Then Bob places a black stone at J. Then Alice places a white stone at H. Then Bob places a black stone at K. Where should Alice play next? | F | true | blocked | Alice | ...W------B------B
../|...../|...../|
./.|..../.|..../.|
*------*------*..|
|..W---|--W...|..*
|./....|./....|./
|/.....|/.....|/
*------*------B
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 16 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at E. Then Bob places a black stone at A. Then Alice places a white stone at H. Then Bob places a black stone at C. Then Alice places a white stone at K. Then Bob places a black stone at D. Where should Alice play next? | B | true | blocked | Alice | ...B------B------*
../|...../|...../|
./.|..../.|..../.|
B------*------*..|
|..W---|--*...|..*
|./....|./....|./
|/.....|/.....|/
W------*------W
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 17 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at A. Then Bob places a black stone at D. Then Alice places a white stone at I. Then Bob places a black stone at E. Then Alice places a white stone at J. Then Bob places a black stone at F. Where should Alice play next? | C | true | blocked | Alice | ...B------*------W
../|...../|...../|
./.|..../.|..../.|
W------*------W..|
|..*---|--*...|..*
|./....|./....|./
|/.....|/.....|/
B------B------*
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 18 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at A. Then Bob places a black stone at E. Then Alice places a white stone at C. Then Bob places a black stone at G. Then Alice places a white stone at K. Then Bob places a black stone at H. Where should Alice play next? | F | true | blocked | Alice | ...*------W------*
../|...../|...../|
./.|..../.|..../.|
W------*------*..|
|..B---|--B...|..*
|./....|./....|./
|/.....|/.....|/
B------*------W
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 19 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at A. Then Bob places a black stone at B. Then Alice places a white stone at C. Then Bob places a black stone at I. Then Alice places a white stone at E. Then Bob places a black stone at K. Where should Alice play next? | G | true | win | Alice | ...*------W------*
../|...../|...../|
./.|..../.|..../.|
W------B------B..|
|..*---|--*...|..*
|./....|./....|./
|/.....|/.....|/
W------*------B
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 20 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at B. Then Bob places a black stone at D. Then Alice places a white stone at C. Then Bob places a black stone at H. Then Alice places a white stone at K. Then Bob places a black stone at I. Where should Alice play next? | L | true | win | Alice | ...B------W------*
../|...../|...../|
./.|..../.|..../.|
*------W------B..|
|..B---|--*...|..*
|./....|./....|./
|/.....|/.....|/
*------*------W
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 21 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at D. Then Bob places a black stone at C. Then Alice places a white stone at F. Then Bob places a black stone at E. Then Alice places a white stone at H. Then Bob places a black stone at K. Where should Alice play next? | B | true | win | Alice | ...W------B------*
../|...../|...../|
./.|..../.|..../.|
*------*------*..|
|..W---|--*...|..*
|./....|./....|./
|/.....|/.....|/
B------W------B
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 22 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at B. Then Bob places a black stone at C. Then Alice places a white stone at F. Then Bob places a black stone at E. Then Alice places a white stone at J. Then Bob places a black stone at G. Where should Alice play next? | L | true | win | Alice | ...*------B------W
../|...../|...../|
./.|..../.|..../.|
*------W------*..|
|..*---|--B...|..*
|./....|./....|./
|/.....|/.....|/
B------W------*
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 23 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at G. Then Bob places a black stone at E. Then Alice places a white stone at I. Then Bob places a black stone at J. Then Alice places a white stone at K. Then Bob places a black stone at L. Where should Alice play next? | C | true | win | Alice | ...*------*------B
../|...../|...../|
./.|..../.|..../.|
*------*------W..|
|..*---|--W...|..B
|./....|./....|./
|/.....|/.....|/
B------*------W
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 24 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at F. Then Bob places a black stone at A. Then Alice places a white stone at J. Then Bob places a black stone at H. Then Alice places a white stone at K. Then Bob places a black stone at L. Where should Alice play next? | C | true | win | Alice | ...*------*------W
../|...../|...../|
./.|..../.|..../.|
B------*------*..|
|..B---|--*...|..B
|./....|./....|./
|/.....|/.....|/
*------W------W
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 25 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at D. Then Bob places a black stone at B. Then Alice places a white stone at E. Then Bob places a black stone at I. Then Alice places a white stone at H. Then Bob places a black stone at K. Where should Alice play next? | A | true | win | Alice | ...W------*------*
../|...../|...../|
./.|..../.|..../.|
*------B------B..|
|..W---|--*...|..*
|./....|./....|./
|/.....|/.....|/
W------*------B
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 26 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at E. Then Bob places a black stone at C. Then Alice places a white stone at F. Then Bob places a black stone at D. Then Alice places a white stone at G. Then Bob places a black stone at K. Where should Alice play next? | H | true | win | Alice | ...B------B------*
../|...../|...../|
./.|..../.|..../.|
*------*------*..|
|..*---|--W...|..*
|./....|./....|./
|/.....|/.....|/
W------W------B
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 27 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at F. Then Bob places a black stone at A. Then Alice places a white stone at I. Then Bob places a black stone at D. Then Alice places a white stone at K. Then Bob places a black stone at H. Where should Alice play next? | B | true | win | Alice | ...B------*------*
../|...../|...../|
./.|..../.|..../.|
B------*------W..|
|..B---|--*...|..*
|./....|./....|./
|/.....|/.....|/
*------W------W
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 28 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at A. Then Bob places a black stone at C. Then Alice places a white stone at E. Then Bob places a black stone at I. Then Alice places a white stone at H. Then Bob places a black stone at J. Where should Alice play next? | D | true | win | Alice | ...*------B------B
../|...../|...../|
./.|..../.|..../.|
W------*------B..|
|..W---|--*...|..*
|./....|./....|./
|/.....|/.....|/
W------*------*
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 29 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at E. Then Bob places a black stone at A. Then Alice places a white stone at G. Then Bob places a black stone at D. Then Alice places a white stone at J. Then Bob places a black stone at L. Where should Alice play next? | F | true | fork | Alice | ...B------*------W
../|...../|...../|
./.|..../.|..../.|
B------*------*..|
|..*---|--W...|..B
|./....|./....|./
|/.....|/.....|/
W------*------*
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 30 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at D. Then Bob places a black stone at A. Then Alice places a white stone at F. Then Bob places a black stone at G. Then Alice places a white stone at J. Then Bob places a black stone at K. Where should Alice play next? | B | true | fork | Alice | ...W------*------W
../|...../|...../|
./.|..../.|..../.|
B------*------*..|
|..*---|--B...|..*
|./....|./....|./
|/.....|/.....|/
*------W------B
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 31 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at C. Then Bob places a black stone at E. Then Alice places a white stone at D. Then Bob places a black stone at H. Then Alice places a white stone at J. Then Bob places a black stone at L. Where should Alice play next? | B | true | fork | Alice | ...W------W------W
../|...../|...../|
./.|..../.|..../.|
*------*------*..|
|..B---|--*...|..B
|./....|./....|./
|/.....|/.....|/
B------*------*
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 32 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at E. Then Bob places a black stone at A. Then Alice places a white stone at G. Then Bob places a black stone at K. Then Alice places a white stone at J. Then Bob places a black stone at L. Where should Alice play next? | F | true | fork | Alice | ...*------*------W
../|...../|...../|
./.|..../.|..../.|
B------*------*..|
|..*---|--W...|..B
|./....|./....|./
|/.....|/.....|/
W------*------B
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 33 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at C. Then Bob places a black stone at D. Then Alice places a white stone at G. Then Bob places a black stone at E. Then Alice places a white stone at H. Then Bob places a black stone at I. Where should Alice play next? | B | true | fork | Alice | ...B------W------*
../|...../|...../|
./.|..../.|..../.|
*------*------B..|
|..W---|--W...|..*
|./....|./....|./
|/.....|/.....|/
B------*------*
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 34 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at E. Then Bob places a black stone at D. Then Alice places a white stone at G. Then Bob places a black stone at F. Then Alice places a white stone at I. Then Bob places a black stone at L. Where should Alice play next? | C | true | fork | Alice | ...B------*------*
../|...../|...../|
./.|..../.|..../.|
*------*------W..|
|..*---|--W...|..B
|./....|./....|./
|/.....|/.....|/
W------B------*
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 35 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at E. Then Bob places a black stone at D. Then Alice places a white stone at F. Then Bob places a black stone at G. Then Alice places a white stone at H. Then Bob places a black stone at L. Where should Alice play next? | B | true | fork | Alice | ...B------*------*
../|...../|...../|
./.|..../.|..../.|
*------*------*..|
|..W---|--B...|..B
|./....|./....|./
|/.....|/.....|/
W------W------*
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 36 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at F. Then Bob places a black stone at A. Then Alice places a white stone at H. Then Bob places a black stone at B. Then Alice places a white stone at K. Then Bob places a black stone at I. Where should Alice play next? | G | true | fork | Alice | ...*------*------*
../|...../|...../|
./.|..../.|..../.|
B------B------B..|
|..W---|--*...|..*
|./....|./....|./
|/.....|/.....|/
*------W------W
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 37 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at I. Then Bob places a black stone at G. Then Alice places a white stone at K. Then Bob places a black stone at H. Then Alice places a white stone at L. Then Bob places a black stone at J. Where should Alice play next? | B | true | fork | Alice | ...*------*------B
../|...../|...../|
./.|..../.|..../.|
*------*------W..|
|..B---|--B...|..W
|./....|./....|./
|/.....|/.....|/
*------*------W
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 38 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at C. Then Bob places a black stone at F. Then Alice places a white stone at D. Then Bob places a black stone at H. Then Alice places a white stone at K. Then Bob places a black stone at J. Where should Alice play next? | B | true | fork | Alice | ...W------W------B
../|...../|...../|
./.|..../.|..../.|
*------*------*..|
|..B---|--*...|..*
|./....|./....|./
|/.....|/.....|/
*------B------W
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 39 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at D. Then Bob places a black stone at E. Then Alice places a white stone at F. Then Bob places a black stone at J. Then Alice places a white stone at I. Then Bob places a black stone at L. Then Alice places a white stone at K. Where should Bob play next? | B | true | blocked | Bob | ...W------*------B
../|...../|...../|
./.|..../.|..../.|
*------*------W..|
|..*---|--*...|..B
|./....|./....|./
|/.....|/.....|/
B------W------W
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 40 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at A. Then Bob places a black stone at G. Then Alice places a white stone at B. Then Bob places a black stone at I. Then Alice places a white stone at C. Then Bob places a black stone at K. Then Alice places a white stone at L. Where should Bob play next? | D | true | blocked | Bob | ...*------W------*
../|...../|...../|
./.|..../.|..../.|
W------W------B..|
|..*---|--B...|..W
|./....|./....|./
|/.....|/.....|/
*------*------B
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 41 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at C. Then Bob places a black stone at B. Then Alice places a white stone at H. Then Bob places a black stone at E. Then Alice places a white stone at J. Then Bob places a black stone at G. Then Alice places a white stone at K. Where should Bob play next? | F | true | blocked | Bob | ...*------W------W
../|...../|...../|
./.|..../.|..../.|
*------B------*..|
|..W---|--B...|..*
|./....|./....|./
|/.....|/.....|/
B------*------W
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 42 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at C. Then Bob places a black stone at A. Then Alice places a white stone at E. Then Bob places a black stone at F. Then Alice places a white stone at I. Then Bob places a black stone at L. Then Alice places a white stone at K. Where should Bob play next? | G | true | blocked | Bob | ...*------W------*
../|...../|...../|
./.|..../.|..../.|
B------*------W..|
|..*---|--*...|..B
|./....|./....|./
|/.....|/.....|/
W------B------W
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 43 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at C. Then Bob places a black stone at D. Then Alice places a white stone at E. Then Bob places a black stone at H. Then Alice places a white stone at I. Then Bob places a black stone at K. Then Alice places a white stone at J. Where should Bob play next? | B | true | blocked | Bob | ...B------W------W
../|...../|...../|
./.|..../.|..../.|
*------*------W..|
|..B---|--*...|..*
|./....|./....|./
|/.....|/.....|/
W------*------B
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 44 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at C. Then Bob places a black stone at A. Then Alice places a white stone at E. Then Bob places a black stone at F. Then Alice places a white stone at J. Then Bob places a black stone at H. Then Alice places a white stone at L. Where should Bob play next? | G | true | blocked | Bob | ...*------W------W
../|...../|...../|
./.|..../.|..../.|
B------*------*..|
|..B---|--*...|..W
|./....|./....|./
|/.....|/.....|/
W------B------*
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 45 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at F. Then Bob places a black stone at B. Then Alice places a white stone at G. Then Bob places a black stone at D. Then Alice places a white stone at H. Then Bob places a black stone at K. Then Alice places a white stone at L. Where should Bob play next? | E | true | blocked | Bob | ...B------*------*
../|...../|...../|
./.|..../.|..../.|
*------B------*..|
|..W---|--W...|..W
|./....|./....|./
|/.....|/.....|/
*------W------B
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 46 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at C. Then Bob places a black stone at A. Then Alice places a white stone at E. Then Bob places a black stone at F. Then Alice places a white stone at H. Then Bob places a black stone at L. Then Alice places a white stone at J. Where should Bob play next? | B | true | blocked | Bob | ...*------W------W
../|...../|...../|
./.|..../.|..../.|
B------*------*..|
|..W---|--*...|..B
|./....|./....|./
|/.....|/.....|/
W------B------*
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 47 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at F. Then Bob places a black stone at B. Then Alice places a white stone at G. Then Bob places a black stone at I. Then Alice places a white stone at H. Then Bob places a black stone at L. Then Alice places a white stone at K. Where should Bob play next? | E | true | blocked | Bob | ...*------*------*
../|...../|...../|
./.|..../.|..../.|
*------B------B..|
|..W---|--W...|..B
|./....|./....|./
|/.....|/.....|/
*------W------W
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 48 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at D. Then Bob places a black stone at A. Then Alice places a white stone at E. Then Bob places a black stone at B. Then Alice places a white stone at F. Then Bob places a black stone at K. Then Alice places a white stone at L. Where should Bob play next? | C | true | blocked | Bob | ...W------*------*
../|...../|...../|
./.|..../.|..../.|
B------B------*..|
|..*---|--*...|..W
|./....|./....|./
|/.....|/.....|/
W------W------B
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 49 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at A. Then Bob places a black stone at F. Then Alice places a white stone at D. Then Bob places a black stone at I. Then Alice places a white stone at G. Then Bob places a black stone at K. Then Alice places a white stone at L. Where should Bob play next? | B | true | win | Bob | ...W------*------*
../|...../|...../|
./.|..../.|..../.|
W------*------B..|
|..*---|--W...|..W
|./....|./....|./
|/.....|/.....|/
*------B------B
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 50 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at A. Then Bob places a black stone at F. Then Alice places a white stone at C. Then Bob places a black stone at I. Then Alice places a white stone at D. Then Bob places a black stone at K. Then Alice places a white stone at H. Where should Bob play next? | B | true | win | Bob | ...W------W------*
../|...../|...../|
./.|..../.|..../.|
W------*------B..|
|..W---|--*...|..*
|./....|./....|./
|/.....|/.....|/
*------B------B
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 51 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at C. Then Bob places a black stone at A. Then Alice places a white stone at F. Then Bob places a black stone at D. Then Alice places a white stone at G. Then Bob places a black stone at H. Then Alice places a white stone at I. Where should Bob play next? | E | true | win | Bob | ...B------W------*
../|...../|...../|
./.|..../.|..../.|
B------*------W..|
|..B---|--W...|..*
|./....|./....|./
|/.....|/.....|/
*------W------*
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 52 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at H. Then Bob places a black stone at A. Then Alice places a white stone at I. Then Bob places a black stone at C. Then Alice places a white stone at K. Then Bob places a black stone at E. Then Alice places a white stone at L. Where should Bob play next? | G | true | win | Bob | ...*------B------*
../|...../|...../|
./.|..../.|..../.|
B------*------W..|
|..W---|--*...|..W
|./....|./....|./
|/.....|/.....|/
B------*------W
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 53 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at E. Then Bob places a black stone at B. Then Alice places a white stone at H. Then Bob places a black stone at G. Then Alice places a white stone at J. Then Bob places a black stone at I. Then Alice places a white stone at K. Where should Bob play next? | L | true | win | Bob | ...*------*------W
../|...../|...../|
./.|..../.|..../.|
*------B------B..|
|..W---|--B...|..*
|./....|./....|./
|/.....|/.....|/
W------*------W
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 54 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at D. Then Bob places a black stone at C. Then Alice places a white stone at E. Then Bob places a black stone at G. Then Alice places a white stone at F. Then Bob places a black stone at K. Then Alice places a white stone at H. Where should Bob play next? | I | true | win | Bob | ...W------B------*
../|...../|...../|
./.|..../.|..../.|
*------*------*..|
|..W---|--B...|..*
|./....|./....|./
|/.....|/.....|/
W------W------B
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 55 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at A. Then Bob places a black stone at F. Then Alice places a white stone at C. Then Bob places a black stone at J. Then Alice places a white stone at E. Then Bob places a black stone at L. Then Alice places a white stone at I. Where should Bob play next? | B | true | win | Bob | ...*------W------B
../|...../|...../|
./.|..../.|..../.|
W------*------W..|
|..*---|--*...|..B
|./....|./....|./
|/.....|/.....|/
W------B------*
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 56 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at G. Then Bob places a black stone at A. Then Alice places a white stone at I. Then Bob places a black stone at D. Then Alice places a white stone at K. Then Bob places a black stone at H. Then Alice places a white stone at L. Where should Bob play next? | E | true | win | Bob | ...B------*------*
../|...../|...../|
./.|..../.|..../.|
B------*------W..|
|..B---|--W...|..W
|./....|./....|./
|/.....|/.....|/
*------*------W
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 57 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at C. Then Bob places a black stone at B. Then Alice places a white stone at G. Then Bob places a black stone at I. Then Alice places a white stone at H. Then Bob places a black stone at K. Then Alice places a white stone at J. Where should Bob play next? | F | true | win | Bob | ...*------W------W
../|...../|...../|
./.|..../.|..../.|
*------B------B..|
|..W---|--W...|..*
|./....|./....|./
|/.....|/.....|/
*------*------B
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 58 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at A. Then Bob places a black stone at C. Then Alice places a white stone at D. Then Bob places a black stone at G. Then Alice places a white stone at J. Then Bob places a black stone at I. Then Alice places a white stone at L. Where should Bob play next? | K | true | win | Bob | ...W------B------W
../|...../|...../|
./.|..../.|..../.|
W------*------B..|
|..*---|--B...|..W
|./....|./....|./
|/.....|/.....|/
*------*------*
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 59 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at B. Then Bob places a black stone at A. Then Alice places a white stone at G. Then Bob places a black stone at C. Then Alice places a white stone at J. Then Bob places a black stone at E. Then Alice places a white stone at K. Where should Bob play next? | D | true | fork | Bob | ...*------B------W
../|...../|...../|
./.|..../.|..../.|
B------W------*..|
|..*---|--W...|..*
|./....|./....|./
|/.....|/.....|/
B------*------W
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 60 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at D. Then Bob places a black stone at C. Then Alice places a white stone at G. Then Bob places a black stone at E. Then Alice places a white stone at I. Then Bob places a black stone at F. Then Alice places a white stone at K. Where should Bob play next? | B | true | fork | Bob | ...W------B------*
../|...../|...../|
./.|..../.|..../.|
*------*------W..|
|..*---|--W...|..*
|./....|./....|./
|/.....|/.....|/
B------B------W
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 61 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at D. Then Bob places a black stone at B. Then Alice places a white stone at E. Then Bob places a black stone at F. Then Alice places a white stone at G. Then Bob places a black stone at L. Then Alice places a white stone at J. Where should Bob play next? | K | true | fork | Bob | ...W------*------W
../|...../|...../|
./.|..../.|..../.|
*------B------*..|
|..*---|--W...|..B
|./....|./....|./
|/.....|/.....|/
W------B------*
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 62 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at C. Then Bob places a black stone at A. Then Alice places a white stone at H. Then Bob places a black stone at E. Then Alice places a white stone at I. Then Bob places a black stone at G. Then Alice places a white stone at K. Where should Bob play next? | F | true | fork | Bob | ...*------W------*
../|...../|...../|
./.|..../.|..../.|
B------*------W..|
|..W---|--B...|..*
|./....|./....|./
|/.....|/.....|/
B------*------W
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 63 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at A. Then Bob places a black stone at E. Then Alice places a white stone at D. Then Bob places a black stone at F. Then Alice places a white stone at I. Then Bob places a black stone at L. Then Alice places a white stone at J. Where should Bob play next? | G | true | fork | Bob | ...W------*------W
../|...../|...../|
./.|..../.|..../.|
W------*------W..|
|..*---|--*...|..B
|./....|./....|./
|/.....|/.....|/
B------B------*
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 64 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at D. Then Bob places a black stone at F. Then Alice places a white stone at E. Then Bob places a black stone at G. Then Alice places a white stone at I. Then Bob places a black stone at H. Then Alice places a white stone at J. Where should Bob play next? | B | true | fork | Bob | ...W------*------W
../|...../|...../|
./.|..../.|..../.|
*------*------W..|
|..B---|--B...|..*
|./....|./....|./
|/.....|/.....|/
W------B------*
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 65 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at D. Then Bob places a black stone at A. Then Alice places a white stone at H. Then Bob places a black stone at F. Then Alice places a white stone at J. Then Bob places a black stone at I. Then Alice places a white stone at L. Where should Bob play next? | B | true | fork | Bob | ...W------*------W
../|...../|...../|
./.|..../.|..../.|
B------*------B..|
|..W---|--*...|..W
|./....|./....|./
|/.....|/.....|/
*------B------*
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 66 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at A. Then Bob places a black stone at D. Then Alice places a white stone at H. Then Bob places a black stone at F. Then Alice places a white stone at I. Then Bob places a black stone at G. Then Alice places a white stone at L. Where should Bob play next? | C | true | fork | Bob | ...B------*------*
../|...../|...../|
./.|..../.|..../.|
W------*------W..|
|..W---|--B...|..W
|./....|./....|./
|/.....|/.....|/
*------B------*
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 67 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at B. Then Bob places a black stone at C. Then Alice places a white stone at D. Then Bob places a black stone at F. Then Alice places a white stone at E. Then Bob places a black stone at G. Then Alice places a white stone at K. Where should Bob play next? | J | true | fork | Bob | ...W------B------*
../|...../|...../|
./.|..../.|..../.|
*------W------*..|
|..*---|--B...|..*
|./....|./....|./
|/.....|/.....|/
W------B------W
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 68 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at C. Then Bob places a black stone at B. Then Alice places a white stone at H. Then Bob places a black stone at F. Then Alice places a white stone at J. Then Bob places a black stone at G. Then Alice places a white stone at K. Where should Bob play next? | A | true | fork | Bob | ...*------W------W
../|...../|...../|
./.|..../.|..../.|
*------B------*..|
|..W---|--B...|..*
|./....|./....|./
|/.....|/.....|/
*------B------W
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 69 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at B. Then Bob places a black stone at G. Then Alice places a white stone at C. Then Bob places a black stone at H. Then Alice places a white stone at E. Then Bob places a black stone at I. Where should Alice play next? | A, D, F | false | fork | Alice | ...*------W------*
../|...../|...../|
./.|..../.|..../.|
*------W------B..|
|..B---|--B...|..*
|./....|./....|./
|/.....|/.....|/
W------*------*
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 70 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at F. Then Bob places a black stone at H. Then Alice places a white stone at G. Then Bob places a black stone at I. Then Alice places a white stone at L. Then Bob places a black stone at K. Where should Alice play next? | B, C, J | false | fork | Alice | ...*------*------*
../|...../|...../|
./.|..../.|..../.|
*------*------B..|
|..B---|--W...|..W
|./....|./....|./
|/.....|/.....|/
*------W------B
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 71 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at G. Then Bob places a black stone at E. Then Alice places a white stone at K. Then Bob places a black stone at F. Then Alice places a white stone at L. Then Bob places a black stone at J. Where should Alice play next? | B, C, I | false | fork | Alice | ...*------*------B
../|...../|...../|
./.|..../.|..../.|
*------*------*..|
|..*---|--W...|..W
|./....|./....|./
|/.....|/.....|/
B------B------W
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 72 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at D. Then Bob places a black stone at C. Then Alice places a white stone at E. Then Bob places a black stone at I. Then Alice places a white stone at G. Then Bob places a black stone at L. Where should Alice play next? | A, F, H | false | fork | Alice | ...W------B------*
../|...../|...../|
./.|..../.|..../.|
*------*------B..|
|..*---|--W...|..B
|./....|./....|./
|/.....|/.....|/
W------*------*
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 73 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at A. Then Bob places a black stone at E. Then Alice places a white stone at B. Then Bob places a black stone at H. Then Alice places a white stone at F. Then Bob places a black stone at K. Where should Alice play next? | C, D, G | false | fork | Alice | ...*------*------*
../|...../|...../|
./.|..../.|..../.|
W------W------*..|
|..B---|--*...|..*
|./....|./....|./
|/.....|/.....|/
B------W------B
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 74 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at C. Then Bob places a black stone at A. Then Alice places a white stone at F. Then Bob places a black stone at G. Then Alice places a white stone at H. Then Bob places a black stone at K. Where should Alice play next? | B, D, E | false | fork | Alice | ...*------W------*
../|...../|...../|
./.|..../.|..../.|
B------*------*..|
|..W---|--B...|..*
|./....|./....|./
|/.....|/.....|/
*------W------B
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 75 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at B. Then Bob places a black stone at A. Then Alice places a white stone at G. Then Bob places a black stone at D. Then Alice places a white stone at J. Then Bob places a black stone at F. Where should Alice play next? | C, I, L | false | fork | Alice | ...B------*------W
../|...../|...../|
./.|..../.|..../.|
B------W------*..|
|..*---|--W...|..*
|./....|./....|./
|/.....|/.....|/
*------B------*
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 76 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at B. Then Bob places a black stone at A. Then Alice places a white stone at J. Then Bob places a black stone at F. Then Alice places a white stone at K. Then Bob places a black stone at H. Where should Alice play next? | C, I, L | false | fork | Alice | ...*------*------W
../|...../|...../|
./.|..../.|..../.|
B------W------*..|
|..B---|--*...|..*
|./....|./....|./
|/.....|/.....|/
*------B------W
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 77 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at D. Then Bob places a black stone at A. Then Alice places a white stone at F. Then Bob places a black stone at E. Then Alice places a white stone at G. Then Bob places a black stone at I. Where should Alice play next? | B, C, H | false | fork | Alice | ...W------*------*
../|...../|...../|
./.|..../.|..../.|
B------*------B..|
|..*---|--W...|..*
|./....|./....|./
|/.....|/.....|/
B------W------*
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 78 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at A. Then Bob places a black stone at D. Then Alice places a white stone at C. Then Bob places a black stone at J. Then Alice places a white stone at H. Then Bob places a black stone at K. Where should Alice play next? | B, E, G | false | fork | Alice | ...B------W------B
../|...../|...../|
./.|..../.|..../.|
W------*------*..|
|..W---|--*...|..*
|./....|./....|./
|/.....|/.....|/
*------*------B
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 79 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at B. Then Bob places a black stone at A. Then Alice places a white stone at H. Then Bob places a black stone at E. Then Alice places a white stone at J. Then Bob places a black stone at F. Then Alice places a white stone at K. Where should Bob play next? | C, D, G | false | fork | Bob | ...*------*------W
../|...../|...../|
./.|..../.|..../.|
B------W------*..|
|..W---|--*...|..*
|./....|./....|./
|/.....|/.....|/
B------B------W
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 80 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at C. Then Bob places a black stone at B. Then Alice places a white stone at E. Then Bob places a black stone at F. Then Alice places a white stone at H. Then Bob places a black stone at I. Then Alice places a white stone at K. Where should Bob play next? | G, J, L | false | fork | Bob | ...*------W------*
../|...../|...../|
./.|..../.|..../.|
*------B------B..|
|..W---|--*...|..*
|./....|./....|./
|/.....|/.....|/
W------B------W
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 81 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at A. Then Bob places a black stone at C. Then Alice places a white stone at H. Then Bob places a black stone at F. Then Alice places a white stone at I. Then Bob places a black stone at K. Then Alice places a white stone at J. Where should Bob play next? | B, G, L | false | fork | Bob | ...*------B------W
../|...../|...../|
./.|..../.|..../.|
W------*------W..|
|..W---|--*...|..*
|./....|./....|./
|/.....|/.....|/
*------B------B
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 82 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at D. Then Bob places a black stone at E. Then Alice places a white stone at F. Then Bob places a black stone at G. Then Alice places a white stone at K. Then Bob places a black stone at H. Then Alice places a white stone at L. Where should Bob play next? | A, B, C | false | fork | Bob | ...W------*------*
../|...../|...../|
./.|..../.|..../.|
*------*------*..|
|..B---|--B...|..W
|./....|./....|./
|/.....|/.....|/
B------W------W
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 83 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at D. Then Bob places a black stone at A. Then Alice places a white stone at H. Then Bob places a black stone at C. Then Alice places a white stone at I. Then Bob places a black stone at F. Then Alice places a white stone at K. Where should Bob play next? | B, E, G | false | fork | Bob | ...W------B------*
../|...../|...../|
./.|..../.|..../.|
B------*------W..|
|..W---|--*...|..*
|./....|./....|./
|/.....|/.....|/
*------B------W
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 84 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at A. Then Bob places a black stone at B. Then Alice places a white stone at F. Then Bob places a black stone at G. Then Alice places a white stone at H. Then Bob places a black stone at K. Then Alice places a white stone at J. Where should Bob play next? | C, I, L | false | fork | Bob | ...*------*------W
../|...../|...../|
./.|..../.|..../.|
W------B------*..|
|..W---|--B...|..*
|./....|./....|./
|/.....|/.....|/
*------W------B
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 85 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at E. Then Bob places a black stone at B. Then Alice places a white stone at H. Then Bob places a black stone at D. Then Alice places a white stone at I. Then Bob places a black stone at G. Then Alice places a white stone at K. Where should Bob play next? | A, C, F | false | fork | Bob | ...B------*------*
../|...../|...../|
./.|..../.|..../.|
*------B------W..|
|..W---|--B...|..*
|./....|./....|./
|/.....|/.....|/
W------*------W
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 86 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at D. Then Bob places a black stone at C. Then Alice places a white stone at E. Then Bob places a black stone at F. Then Alice places a white stone at G. Then Bob places a black stone at L. Then Alice places a white stone at I. Where should Bob play next? | B, J, K | false | fork | Bob | ...W------B------*
../|...../|...../|
./.|..../.|..../.|
*------*------W..|
|..*---|--W...|..B
|./....|./....|./
|/.....|/.....|/
W------B------*
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 87 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at A. Then Bob places a black stone at B. Then Alice places a white stone at E. Then Bob places a black stone at G. Then Alice places a white stone at I. Then Bob places a black stone at J. Then Alice places a white stone at K. Where should Bob play next? | C, F, L | false | fork | Bob | ...*------*------B
../|...../|...../|
./.|..../.|..../.|
W------B------W..|
|..*---|--B...|..*
|./....|./....|./
|/.....|/.....|/
W------*------W
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 88 |
Alice and Bob are playing a game on two adjacent cubes. ABCD forms the top rectangle in the first cube and BIJC forms the top rectangle in the second cube. EFGH forms the bottom rectangle in the first cube and FKLG forms the bottom rectangle in the second cube. AE is an edge, BF is an edge, CG is an edge, DH is an edge, IK is an edge, and JL is an edge. Note that vertices B,C,G,F are shared by the two cubes. Alice and Bob plays a game where they take turns to put stickers on the vertices of the cubes that have not been occupied. Alice plays white stickers. Bob plays black stickers. The person who has four stickers on the same plane on either cube wins. Alice first places a white stone at D. Then Bob places a black stone at B. Then Alice places a white stone at H. Then Bob places a black stone at E. Then Alice places a white stone at J. Then Bob places a black stone at G. Then Alice places a white stone at K. Where should Bob play next? | A, C, F | false | fork | Bob | ...W------*------W
../|...../|...../|
./.|..../.|..../.|
*------B------*..|
|..W---|--B...|..*
|./....|./....|./
|/.....|/.....|/
B------*------W
| ...D------C------J
../|...../|...../|
./.|..../.|..../.|
A------B------I..|
|..H---|--G...|..L
|./....|./....|./
|/.....|/.....|/
E------F------K
| 89 |
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