image imagewidth (px) 170 868 | question stringlengths 13 9.46k | answer stringclasses 206 values | game_name stringclasses 30 values | state stringlengths 16 43 |
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Rules:
State 0, Symbol 0 -> Write 1, Move down, New State 0
State 0, Symbol 1 -> Write 0, Move up, New State 1
State 0, Symbol 2 -> Write 0, Move left, New State 3
State 1, Symbol 0 -> Write 1, Move down, New State 2
State 1, Symbol 1 -> Write 2, Move down, New State 0
State 1, Symbol 2 -> Write 0, Move right, New State 0
State 2, Symbol 0 -> Write 0, Move up, New State 2
State 2, Symbol 1 -> Write 0, Move down, New State 3
State 2, Symbol 2 -> Write 2, Move up, New State 2
State 3, Symbol 0 -> Write 2, Move down, New State 3
State 3, Symbol 1 -> Write 0, Move left, New State 2
State 3, Symbol 2 -> Write 1, Move down, New State 2
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (1, 3) with State 3 on Symbol 1 that is <1>.
Question: how does the symbol at position (2, 1) change after 8 steps? Writing the same symbol needs to be tracked.
Options:
1: 2->0(at step 2)->0(at step 3)->1(at step 4)->1(at step 6)->2(at step 7)
2: 2->0(at step 3)->0(at step 5)
3: 2->2(at step 5)
4: 2->0(at step 2)->2(at step 4)->0(at step 5)
5: 2->1(at step 1)->0(at step 2)->2(at step 4)->0(at step 5)->0(at step 6)
6: 2->2(at step 6)->1(at step 8)
7: 2->2(at step 1)->2(at step 3)
8: 2->2(at step 1)->1(at step 2)->1(at step 7)
| 6 | 2d_turing_machine | states/00347.json | |
Rules:
State 0, Symbol 0 -> Write 4, Move right, New State 1
State 0, Symbol 1 -> Write 2, Move up, New State 1
State 0, Symbol 2 -> Write 2, Move right, New State 1
State 0, Symbol 3 -> Write 2, Move right, New State 0
State 0, Symbol 4 -> Write 4, Move up, New State 1
State 1, Symbol 0 -> Write 2, Move left, New State 0
State 1, Symbol 1 -> Write 0, Move left, New State 1
State 1, Symbol 2 -> Write 4, Move down, New State 0
State 1, Symbol 3 -> Write 0, Move right, New State 1
State 1, Symbol 4 -> Write 0, Move left, New State 1
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Symbol 4: Color = cyan
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
Current head position is (2, 2) with State 0 on Symbol 2 that is (2).
Question: after how many steps will the head first enter state 1?
Options:
1: 2
2: 3
3: 5
4: 1
5: 6
6: 4
7: 7
8: 8
| 4 | 2d_turing_machine | states/00449.json | |
Rules:
State 0, Symbol 0 -> Write 1, Move left, New State 2
State 0, Symbol 1 -> Write 2, Move down, New State 1
State 0, Symbol 2 -> Write 2, Move down, New State 0
State 0, Symbol 3 -> Write 4, Move down, New State 2
State 0, Symbol 4 -> Write 4, Move down, New State 0
State 1, Symbol 0 -> Write 0, Move right, New State 0
State 1, Symbol 1 -> Write 4, Move right, New State 2
State 1, Symbol 2 -> Write 4, Move down, New State 1
State 1, Symbol 3 -> Write 2, Move down, New State 0
State 1, Symbol 4 -> Write 2, Move right, New State 1
State 2, Symbol 0 -> Write 4, Move down, New State 2
State 2, Symbol 1 -> Write 4, Move down, New State 1
State 2, Symbol 2 -> Write 1, Move right, New State 2
State 2, Symbol 3 -> Write 1, Move left, New State 2
State 2, Symbol 4 -> Write 2, Move right, New State 2
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Symbol 4: Color = cyan
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (1, 1) with State 2 on Symbol 1 that is {1}.
Question: how does the symbol at position (2, 2) change after 7 steps? Writing the same symbol needs to be tracked.
Options:
1: 0->1(at step 4)
2: 0->3(at step 2)
3: 0->4(at step 3)->2(at step 5)
4: 0->4(at step 3)
5: 0->2(at step 1)->1(at step 2)->4(at step 6)
6: 0->1(at step 3)->4(at step 4)->1(at step 6)
7: 0->1(at step 1)->3(at step 6)
8: 0->3(at step 1)->3(at step 2)->2(at step 3)->2(at step 6)
| 4 | 2d_turing_machine | states/00368.json | |
Rules:
State 0, Symbol 0 -> Write 1, Move down, New State 0
State 0, Symbol 1 -> Write 1, Move down, New State 0
State 0, Symbol 2 -> Write 2, Move left, New State 1
State 1, Symbol 0 -> Write 2, Move up, New State 1
State 1, Symbol 1 -> Write 0, Move left, New State 2
State 1, Symbol 2 -> Write 2, Move right, New State 2
State 2, Symbol 0 -> Write 0, Move up, New State 2
State 2, Symbol 1 -> Write 1, Move down, New State 2
State 2, Symbol 2 -> Write 1, Move right, New State 2
State 3, Symbol 0 -> Write 2, Move down, New State 2
State 3, Symbol 1 -> Write 1, Move left, New State 1
State 3, Symbol 2 -> Write 2, Move left, New State 2
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (3, 1) with State 2 on Symbol 0 that is {0}.
Question: what will be the head state and symbol under it after 6 steps?
Options:
1: <2>
2: (1)
3: [2]
4: [1]
5: {2}
6: <0>
7: {0}
8: [0]
| 7 | 2d_turing_machine | states/00175.json | |
Rules:
State 0, Symbol 0 -> Write 0, Move left, New State 0
State 0, Symbol 1 -> Write 1, Move down, New State 0
State 0, Symbol 2 -> Write 2, Move right, New State 0
State 1, Symbol 0 -> Write 2, Move right, New State 0
State 1, Symbol 1 -> Write 1, Move down, New State 1
State 1, Symbol 2 -> Write 2, Move up, New State 1
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
Current head position is (1, 0) with State 0 on Symbol 2 that is (2).
Question: where will the head be after 4 steps?
Options:
1: (1, 0)
2: (0, 0)
3: (0, 2)
4: (1, 1)
5: (0, 1)
6: (2, 2)
7: (1, 2)
8: (2, 1)
| 8 | 2d_turing_machine | states/00109.json | |
Rules:
State 0, Symbol 0 -> Write 0, Move down, New State 0
State 0, Symbol 1 -> Write 2, Move up, New State 1
State 0, Symbol 2 -> Write 1, Move up, New State 0
State 1, Symbol 0 -> Write 2, Move left, New State 0
State 1, Symbol 1 -> Write 2, Move down, New State 2
State 1, Symbol 2 -> Write 1, Move right, New State 0
State 2, Symbol 0 -> Write 0, Move left, New State 1
State 2, Symbol 1 -> Write 1, Move right, New State 2
State 2, Symbol 2 -> Write 1, Move up, New State 2
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (3, 1) with State 2 on Symbol 2 that is {2}.
Question: how does the symbol at position (1, 1) change after 5 steps? Writing the same symbol needs to be tracked.
Options:
1: 1->1(at step 2)->1(at step 3)->2(at step 4)
2: 1->1(at step 1)->1(at step 2)->0(at step 4)
3: 1->1(at step 3)->2(at step 5)
4: 1->1(at step 1)->2(at step 2)
5: 1->0(at step 1)->0(at step 4)
6: 1->2(at step 1)->1(at step 2)->2(at step 4)
7: 1->0(at step 2)->0(at step 3)
8: 1->1(at step 1)->2(at step 4)
| 3 | 2d_turing_machine | states/00260.json | |
Rules:
State 0, Symbol 0 -> Write 2, Move up, New State 1
State 0, Symbol 1 -> Write 3, Move right, New State 2
State 0, Symbol 2 -> Write 0, Move right, New State 1
State 0, Symbol 3 -> Write 3, Move down, New State 2
State 0, Symbol 4 -> Write 2, Move up, New State 2
State 1, Symbol 0 -> Write 3, Move left, New State 1
State 1, Symbol 1 -> Write 2, Move left, New State 2
State 1, Symbol 2 -> Write 3, Move up, New State 1
State 1, Symbol 3 -> Write 3, Move left, New State 0
State 1, Symbol 4 -> Write 1, Move up, New State 0
State 2, Symbol 0 -> Write 1, Move right, New State 2
State 2, Symbol 1 -> Write 3, Move down, New State 0
State 2, Symbol 2 -> Write 2, Move right, New State 2
State 2, Symbol 3 -> Write 0, Move down, New State 1
State 2, Symbol 4 -> Write 2, Move up, New State 2
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Symbol 4: Color = cyan
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (2, 1) with State 1 on Symbol 4 that is [4].
Question: where will the head be after 8 steps?
Options:
1: (4, 0)
2: (3, 2)
3: (3, 1)
4: (1, 1)
5: (3, 3)
6: (1, 2)
7: (2, 1)
8: (2, 3)
| 8 | 2d_turing_machine | states/00115.json | |
Rules:
State 0, Symbol 0 -> Write 1, Move right, New State 1
State 0, Symbol 1 -> Write 2, Move left, New State 1
State 0, Symbol 2 -> Write 0, Move down, New State 1
State 0, Symbol 3 -> Write 3, Move left, New State 1
State 1, Symbol 0 -> Write 0, Move right, New State 1
State 1, Symbol 1 -> Write 0, Move left, New State 1
State 1, Symbol 2 -> Write 1, Move down, New State 1
State 1, Symbol 3 -> Write 3, Move left, New State 1
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
Current head position is (1, 1) with State 1 on Symbol 0 that is [0].
Question: what will be the head state and symbol under it after 3 steps?
Options:
1: (1)
2: [2]
3: [1]
4: (3)
5: (2)
6: (0)
7: [3]
8: [0]
| 7 | 2d_turing_machine | states/00189.json | |
Rules:
State 0, Symbol 0 -> Write 2, Move right, New State 1
State 0, Symbol 1 -> Write 0, Move right, New State 2
State 0, Symbol 2 -> Write 2, Move down, New State 2
State 1, Symbol 0 -> Write 1, Move right, New State 1
State 1, Symbol 1 -> Write 0, Move left, New State 1
State 1, Symbol 2 -> Write 0, Move up, New State 1
State 2, Symbol 0 -> Write 0, Move up, New State 0
State 2, Symbol 1 -> Write 1, Move left, New State 3
State 2, Symbol 2 -> Write 2, Move down, New State 2
State 3, Symbol 0 -> Write 2, Move right, New State 0
State 3, Symbol 1 -> Write 2, Move up, New State 2
State 3, Symbol 2 -> Write 2, Move up, New State 2
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (2, 3) with State 2 on Symbol 1 that is {1}.
Question: after how many steps will the head first enter state 3?
Options:
1: 4
2: 2
3: 1
4: 7
5: 5
6: 6
7: 8
8: 3
| 3 | 2d_turing_machine | states/00383.json | |
Rules:
State 0, Symbol 0 -> Write 2, Move right, New State 2
State 0, Symbol 1 -> Write 2, Move up, New State 2
State 0, Symbol 2 -> Write 3, Move left, New State 2
State 0, Symbol 3 -> Write 3, Move down, New State 2
State 1, Symbol 0 -> Write 2, Move down, New State 0
State 1, Symbol 1 -> Write 0, Move up, New State 1
State 1, Symbol 2 -> Write 3, Move up, New State 2
State 1, Symbol 3 -> Write 2, Move left, New State 0
State 2, Symbol 0 -> Write 2, Move right, New State 2
State 2, Symbol 1 -> Write 0, Move down, New State 1
State 2, Symbol 2 -> Write 1, Move up, New State 1
State 2, Symbol 3 -> Write 1, Move down, New State 2
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (2, 4) with State 0 on Symbol 2 that is (2).
Question: where will the head be after 4 steps?
Options:
1: (2, 3)
2: (2, 0)
3: (4, 3)
4: (1, 1)
5: (1, 3)
6: (4, 2)
7: (3, 0)
8: (2, 4)
| 8 | 2d_turing_machine | states/00021.json | |
Rules:
State 0, Symbol 0 -> Write 4, Move up, New State 1
State 0, Symbol 1 -> Write 1, Move down, New State 0
State 0, Symbol 2 -> Write 4, Move left, New State 1
State 0, Symbol 3 -> Write 3, Move down, New State 1
State 0, Symbol 4 -> Write 3, Move right, New State 1
State 1, Symbol 0 -> Write 0, Move left, New State 0
State 1, Symbol 1 -> Write 3, Move down, New State 0
State 1, Symbol 2 -> Write 3, Move up, New State 0
State 1, Symbol 3 -> Write 1, Move right, New State 1
State 1, Symbol 4 -> Write 3, Move up, New State 1
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Symbol 4: Color = cyan
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
Current head position is (2, 2) with State 1 on Symbol 0 that is [0].
Question: what will be the head state and symbol under it after 7 steps?
Options:
1: [2]
2: (1)
3: (2)
4: [1]
5: (3)
6: [3]
7: (0)
8: [0]
| 8 | 2d_turing_machine | states/00195.json | |
Rules:
State 0, Symbol 0 -> Write 0, Move left, New State 2
State 0, Symbol 1 -> Write 1, Move down, New State 2
State 0, Symbol 2 -> Write 0, Move down, New State 2
State 0, Symbol 3 -> Write 2, Move down, New State 2
State 0, Symbol 4 -> Write 0, Move right, New State 0
State 1, Symbol 0 -> Write 2, Move left, New State 0
State 1, Symbol 1 -> Write 3, Move down, New State 0
State 1, Symbol 2 -> Write 2, Move left, New State 2
State 1, Symbol 3 -> Write 1, Move up, New State 2
State 1, Symbol 4 -> Write 0, Move up, New State 2
State 2, Symbol 0 -> Write 3, Move up, New State 0
State 2, Symbol 1 -> Write 2, Move right, New State 1
State 2, Symbol 2 -> Write 3, Move up, New State 1
State 2, Symbol 3 -> Write 0, Move down, New State 2
State 2, Symbol 4 -> Write 1, Move right, New State 0
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (1, 1) with State 0 on Symbol 0 that is (0).
Question: where will the head be after 5 steps?
Options:
1: (2, 1)
2: (3, 2)
3: (1, 2)
4: (3, 1)
5: (2, 2)
6: (2, 0)
7: (0, 2)
8: (3, 0)
| 1 | 2d_turing_machine | states/00079.json | |
Rules:
State 0, Symbol 0 -> Write 2, Move down, New State 0
State 0, Symbol 1 -> Write 0, Move down, New State 1
State 0, Symbol 2 -> Write 2, Move down, New State 1
State 0, Symbol 3 -> Write 0, Move down, New State 0
State 0, Symbol 4 -> Write 4, Move up, New State 0
State 1, Symbol 0 -> Write 4, Move down, New State 0
State 1, Symbol 1 -> Write 0, Move left, New State 0
State 1, Symbol 2 -> Write 4, Move left, New State 0
State 1, Symbol 3 -> Write 2, Move left, New State 1
State 1, Symbol 4 -> Write 4, Move up, New State 0
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Symbol 4: Color = cyan
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
Current head position is (1, 1) with State 0 on Symbol 1 that is (1).
Question: after how many steps will the head first enter state 1?
Options:
1: 7
2: 3
3: 4
4: 5
5: 8
6: 1
7: 2
8: 6
| 6 | 2d_turing_machine | states/00487.json | |
Rules:
State 0, Symbol 0 -> Write 0, Move down, New State 0
State 0, Symbol 1 -> Write 0, Move left, New State 1
State 0, Symbol 2 -> Write 1, Move up, New State 0
State 0, Symbol 3 -> Write 3, Move up, New State 0
State 1, Symbol 0 -> Write 3, Move down, New State 1
State 1, Symbol 1 -> Write 0, Move down, New State 0
State 1, Symbol 2 -> Write 2, Move right, New State 1
State 1, Symbol 3 -> Write 0, Move up, New State 1
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
Current head position is (2, 3) with State 0 on Symbol 3 that is (3).
Question: where will the head be after 4 steps?
Options:
1: (3, 3)
2: (1, 0)
3: (1, 2)
4: (2, 0)
5: (2, 3)
6: (0, 3)
7: (3, 1)
8: (2, 1)
| 5 | 2d_turing_machine | states/00065.json | |
Rules:
State 0, Symbol 0 -> Write 0, Move down, New State 1
State 0, Symbol 1 -> Write 0, Move down, New State 2
State 0, Symbol 2 -> Write 4, Move down, New State 2
State 0, Symbol 3 -> Write 2, Move down, New State 1
State 0, Symbol 4 -> Write 1, Move down, New State 2
State 1, Symbol 0 -> Write 3, Move left, New State 1
State 1, Symbol 1 -> Write 2, Move down, New State 2
State 1, Symbol 2 -> Write 4, Move right, New State 2
State 1, Symbol 3 -> Write 0, Move right, New State 0
State 1, Symbol 4 -> Write 0, Move left, New State 2
State 2, Symbol 0 -> Write 4, Move down, New State 0
State 2, Symbol 1 -> Write 2, Move up, New State 2
State 2, Symbol 2 -> Write 4, Move up, New State 2
State 2, Symbol 3 -> Write 2, Move up, New State 2
State 2, Symbol 4 -> Write 4, Move right, New State 2
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Symbol 4: Color = cyan
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (4, 2) with State 1 on Symbol 2 that is [2].
Question: how does the symbol at position (2, 3) change after 6 steps? Writing the same symbol needs to be tracked.
Options:
1: 2->2(at step 3)
2: 2->4(at step 1)->3(at step 3)->2(at step 4)
3: 2->2(at step 2)->2(at step 3)
4: 2->4(at step 2)->3(at step 3)->0(at step 4)->2(at step 5)
5: 2->4(at step 4)
6: 2->1(at step 2)->1(at step 3)->0(at step 4)
7: 2->1(at step 1)->1(at step 4)->0(at step 5)
8: 2->3(at step 4)
| 5 | 2d_turing_machine | states/00322.json | |
Rules:
State 0, Symbol 0 -> Write 0, Move up, New State 0
State 0, Symbol 1 -> Write 2, Move left, New State 1
State 0, Symbol 2 -> Write 0, Move down, New State 1
State 1, Symbol 0 -> Write 0, Move down, New State 1
State 1, Symbol 1 -> Write 0, Move up, New State 1
State 1, Symbol 2 -> Write 2, Move right, New State 0
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
Current head position is (0, 3) with State 0 on Symbol 1 that is (1).
Question: after how many steps will the head first enter state 1?
Options:
1: 6
2: 7
3: 4
4: 3
5: 8
6: 1
7: 5
8: 2
| 6 | 2d_turing_machine | states/00497.json | |
Rules:
State 0, Symbol 0 -> Write 2, Move left, New State 1
State 0, Symbol 1 -> Write 3, Move left, New State 1
State 0, Symbol 2 -> Write 1, Move left, New State 0
State 0, Symbol 3 -> Write 1, Move left, New State 1
State 0, Symbol 4 -> Write 0, Move down, New State 3
State 1, Symbol 0 -> Write 2, Move down, New State 2
State 1, Symbol 1 -> Write 3, Move right, New State 1
State 1, Symbol 2 -> Write 1, Move right, New State 3
State 1, Symbol 3 -> Write 2, Move up, New State 1
State 1, Symbol 4 -> Write 4, Move right, New State 0
State 2, Symbol 0 -> Write 4, Move left, New State 2
State 2, Symbol 1 -> Write 2, Move left, New State 0
State 2, Symbol 2 -> Write 0, Move up, New State 3
State 2, Symbol 3 -> Write 1, Move up, New State 3
State 2, Symbol 4 -> Write 3, Move down, New State 2
State 3, Symbol 0 -> Write 2, Move right, New State 0
State 3, Symbol 1 -> Write 2, Move up, New State 1
State 3, Symbol 2 -> Write 3, Move left, New State 1
State 3, Symbol 3 -> Write 0, Move left, New State 1
State 3, Symbol 4 -> Write 1, Move right, New State 1
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Symbol 4: Color = cyan
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (2, 2) with State 2 on Symbol 1 that is {1}.
Question: where will the head be after 6 steps?
Options:
1: (2, 1)
2: (0, 2)
3: (2, 0)
4: (1, 1)
5: (0, 1)
6: (0, 0)
7: (1, 2)
8: (2, 2)
| 4 | 2d_turing_machine | states/00039.json | |
Rules:
State 0, Symbol 0 -> Write 0, Move up, New State 1
State 0, Symbol 1 -> Write 0, Move down, New State 0
State 0, Symbol 2 -> Write 1, Move left, New State 2
State 1, Symbol 0 -> Write 1, Move right, New State 1
State 1, Symbol 1 -> Write 1, Move down, New State 0
State 1, Symbol 2 -> Write 1, Move left, New State 0
State 2, Symbol 0 -> Write 2, Move down, New State 1
State 2, Symbol 1 -> Write 1, Move up, New State 0
State 2, Symbol 2 -> Write 0, Move right, New State 2
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (4, 3) with State 0 on Symbol 0 that is (0).
Question: what will be the head state and symbol under it after 6 steps?
Options:
1: {1}
2: (2)
3: (1)
4: (0)
5: [1]
6: [2]
7: [0]
8: {0}
| 4 | 2d_turing_machine | states/00173.json | |
Rules:
State 0, Symbol 0 -> Write 1, Move down, New State 0
State 0, Symbol 1 -> Write 2, Move right, New State 1
State 0, Symbol 2 -> Write 2, Move up, New State 2
State 1, Symbol 0 -> Write 0, Move up, New State 0
State 1, Symbol 1 -> Write 1, Move left, New State 2
State 1, Symbol 2 -> Write 1, Move down, New State 0
State 2, Symbol 0 -> Write 2, Move left, New State 0
State 2, Symbol 1 -> Write 1, Move left, New State 0
State 2, Symbol 2 -> Write 0, Move down, New State 1
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (3, 3) with State 0 on Symbol 2 that is (2).
Question: after how many steps will the head first enter state 1?
Options:
1: 1
2: 7
3: 2
4: 6
5: 8
6: 5
7: 4
8: 3
| 6 | 2d_turing_machine | states/00384.json | |
Rules:
State 0, Symbol 0 -> Write 1, Move left, New State 0
State 0, Symbol 1 -> Write 3, Move right, New State 2
State 0, Symbol 2 -> Write 0, Move right, New State 1
State 0, Symbol 3 -> Write 1, Move up, New State 0
State 1, Symbol 0 -> Write 3, Move right, New State 1
State 1, Symbol 1 -> Write 3, Move up, New State 1
State 1, Symbol 2 -> Write 3, Move right, New State 2
State 1, Symbol 3 -> Write 0, Move down, New State 1
State 2, Symbol 0 -> Write 2, Move down, New State 2
State 2, Symbol 1 -> Write 0, Move up, New State 1
State 2, Symbol 2 -> Write 1, Move left, New State 2
State 2, Symbol 3 -> Write 1, Move down, New State 0
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (2, 2) with State 2 on Symbol 1 that is {1}.
Question: after how many steps will the head first enter state 1?
Options:
1: 5
2: 3
3: 7
4: 2
5: 8
6: 1
7: 6
8: 4
| 6 | 2d_turing_machine | states/00451.json | |
Rules:
State 0, Symbol 0 -> Write 3, Move down, New State 1
State 0, Symbol 1 -> Write 1, Move right, New State 0
State 0, Symbol 2 -> Write 2, Move left, New State 1
State 0, Symbol 3 -> Write 1, Move up, New State 0
State 1, Symbol 0 -> Write 3, Move up, New State 0
State 1, Symbol 1 -> Write 0, Move down, New State 1
State 1, Symbol 2 -> Write 1, Move left, New State 1
State 1, Symbol 3 -> Write 3, Move up, New State 1
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
Current head position is (2, 2) with State 0 on Symbol 3 that is (3).
Question: after how many steps will the head first enter state 1?
Options:
1: 4
2: 7
3: 2
4: 1
5: 6
6: 3
7: 8
8: 5
| 6 | 2d_turing_machine | states/00390.json | |
Rules:
State 0, Symbol 0 -> Write 2, Move right, New State 1
State 0, Symbol 1 -> Write 3, Move up, New State 1
State 0, Symbol 2 -> Write 2, Move down, New State 2
State 0, Symbol 3 -> Write 2, Move right, New State 0
State 1, Symbol 0 -> Write 3, Move down, New State 2
State 1, Symbol 1 -> Write 0, Move left, New State 2
State 1, Symbol 2 -> Write 0, Move up, New State 0
State 1, Symbol 3 -> Write 2, Move left, New State 2
State 2, Symbol 0 -> Write 1, Move down, New State 2
State 2, Symbol 1 -> Write 0, Move up, New State 2
State 2, Symbol 2 -> Write 0, Move down, New State 0
State 2, Symbol 3 -> Write 0, Move down, New State 2
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (1, 3) with State 1 on Symbol 3 that is [3].
Question: how does the symbol at position (1, 3) change after 3 steps? Writing the same symbol needs to be tracked.
Options:
1: 3->0(at step 1)->1(at step 2)
2: 3->2(at step 2)
3: 3->2(at step 1)->1(at step 2)
4: 3->3(at step 2)
5: 3->3(at step 1)
6: 3->2(at step 1)
7: 3->2(at step 1)->2(at step 2)
8: 3->1(at step 1)
| 6 | 2d_turing_machine | states/00319.json | |
Rules:
State 0, Symbol 0 -> Write 4, Move right, New State 0
State 0, Symbol 1 -> Write 3, Move down, New State 1
State 0, Symbol 2 -> Write 0, Move down, New State 1
State 0, Symbol 3 -> Write 3, Move left, New State 0
State 0, Symbol 4 -> Write 3, Move left, New State 1
State 1, Symbol 0 -> Write 2, Move right, New State 0
State 1, Symbol 1 -> Write 0, Move right, New State 0
State 1, Symbol 2 -> Write 4, Move right, New State 0
State 1, Symbol 3 -> Write 4, Move right, New State 0
State 1, Symbol 4 -> Write 0, Move down, New State 1
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Symbol 4: Color = cyan
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
Current head position is (1, 0) with State 1 on Symbol 1 that is [1].
Question: how does the symbol at position (1, 0) change after 5 steps? Writing the same symbol needs to be tracked.
Options:
1: 1->0(at step 1)->1(at step 2)
2: 1->0(at step 1)->2(at step 2)
3: 1->0(at step 1)->2(at step 2)->0(at step 3)
4: 1->3(at step 1)->3(at step 2)
5: 1->2(at step 4)
6: 1->1(at step 2)->3(at step 4)
7: 1->4(at step 1)->1(at step 2)
8: 1->0(at step 1)
| 8 | 2d_turing_machine | states/00339.json | |
Rules:
State 0, Symbol 0 -> Write 2, Move down, New State 0
State 0, Symbol 1 -> Write 2, Move left, New State 1
State 0, Symbol 2 -> Write 2, Move right, New State 1
State 1, Symbol 0 -> Write 2, Move right, New State 2
State 1, Symbol 1 -> Write 1, Move up, New State 1
State 1, Symbol 2 -> Write 2, Move right, New State 2
State 2, Symbol 0 -> Write 1, Move left, New State 0
State 2, Symbol 1 -> Write 1, Move left, New State 0
State 2, Symbol 2 -> Write 2, Move up, New State 2
State 3, Symbol 0 -> Write 1, Move right, New State 1
State 3, Symbol 1 -> Write 1, Move down, New State 0
State 3, Symbol 2 -> Write 1, Move down, New State 1
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (3, 2) with State 2 on Symbol 1 that is {1}.
Question: what will be the head state and symbol under it after 7 steps?
Options:
1: [0]
2: <0>
3: (2)
4: (1)
5: {1}
6: [1]
7: <1>
8: (0)
| 3 | 2d_turing_machine | states/00243.json | |
Rules:
State 0, Symbol 0 -> Write 2, Move right, New State 0
State 0, Symbol 1 -> Write 2, Move right, New State 2
State 0, Symbol 2 -> Write 2, Move right, New State 1
State 0, Symbol 3 -> Write 0, Move left, New State 3
State 0, Symbol 4 -> Write 3, Move down, New State 3
State 1, Symbol 0 -> Write 4, Move left, New State 3
State 1, Symbol 1 -> Write 2, Move down, New State 3
State 1, Symbol 2 -> Write 4, Move up, New State 1
State 1, Symbol 3 -> Write 3, Move up, New State 3
State 1, Symbol 4 -> Write 2, Move down, New State 3
State 2, Symbol 0 -> Write 2, Move right, New State 2
State 2, Symbol 1 -> Write 1, Move up, New State 1
State 2, Symbol 2 -> Write 0, Move down, New State 3
State 2, Symbol 3 -> Write 0, Move right, New State 0
State 2, Symbol 4 -> Write 4, Move left, New State 0
State 3, Symbol 0 -> Write 0, Move left, New State 3
State 3, Symbol 1 -> Write 4, Move up, New State 2
State 3, Symbol 2 -> Write 2, Move up, New State 1
State 3, Symbol 3 -> Write 1, Move right, New State 1
State 3, Symbol 4 -> Write 2, Move left, New State 1
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Symbol 4: Color = cyan
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (0, 0) with State 0 on Symbol 1 that is (1).
Question: after how many steps will the head first enter state 3?
Options:
1: 4
2: 8
3: 3
4: 5
5: 2
6: 1
7: 7
8: 6
| 1 | 2d_turing_machine | states/00498.json | |
Rules:
State 0, Symbol 0 -> Write 1, Move left, New State 0
State 0, Symbol 1 -> Write 3, Move right, New State 1
State 0, Symbol 2 -> Write 3, Move up, New State 1
State 0, Symbol 3 -> Write 3, Move right, New State 0
State 1, Symbol 0 -> Write 0, Move left, New State 1
State 1, Symbol 1 -> Write 3, Move down, New State 1
State 1, Symbol 2 -> Write 3, Move left, New State 1
State 1, Symbol 3 -> Write 1, Move up, New State 1
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
Current head position is (0, 3) with State 1 on Symbol 1 that is [1].
Question: where will the head be after 3 steps?
Options:
1: (0, 0)
2: (0, 3)
3: (3, 3)
4: (1, 2)
5: (2, 4)
6: (0, 4)
7: (2, 0)
8: (2, 2)
| 8 | 2d_turing_machine | states/00059.json | |
Rules:
State 0, Symbol 0 -> Write 0, Move down, New State 1
State 0, Symbol 1 -> Write 3, Move up, New State 0
State 0, Symbol 2 -> Write 1, Move down, New State 1
State 0, Symbol 3 -> Write 0, Move right, New State 1
State 1, Symbol 0 -> Write 1, Move right, New State 0
State 1, Symbol 1 -> Write 1, Move up, New State 1
State 1, Symbol 2 -> Write 1, Move right, New State 0
State 1, Symbol 3 -> Write 2, Move down, New State 0
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
Current head position is (4, 1) with State 1 on Symbol 1 that is [1].
Question: what will be the head state and symbol under it after 4 steps?
Options:
1: [1]
2: [0]
3: [2]
4: (0)
5: [3]
6: (3)
7: (2)
8: (1)
| 8 | 2d_turing_machine | states/00127.json | |
Rules:
State 0, Symbol 0 -> Write 2, Move left, New State 2
State 0, Symbol 1 -> Write 1, Move up, New State 2
State 0, Symbol 2 -> Write 1, Move down, New State 3
State 1, Symbol 0 -> Write 1, Move down, New State 1
State 1, Symbol 1 -> Write 1, Move up, New State 0
State 1, Symbol 2 -> Write 0, Move down, New State 2
State 2, Symbol 0 -> Write 0, Move up, New State 2
State 2, Symbol 1 -> Write 0, Move right, New State 1
State 2, Symbol 2 -> Write 2, Move down, New State 0
State 3, Symbol 0 -> Write 0, Move right, New State 1
State 3, Symbol 1 -> Write 1, Move down, New State 2
State 3, Symbol 2 -> Write 0, Move up, New State 0
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (3, 1) with State 2 on Symbol 0 that is {0}.
Question: how does the symbol at position (2, 0) change after 5 steps? Writing the same symbol needs to be tracked.
Options:
1: 1->0(at step 1)->0(at step 3)->0(at step 4)
2: 1->1(at step 2)->1(at step 3)->2(at step 4)
3: 1->1(at step 1)->0(at step 4)
4: 1->0(at step 1)
5: 1->0(at step 1)->1(at step 3)->0(at step 4)
6: 1->0(at step 2)->2(at step 4)
7: 1->0(at step 5)
8: 1->2(at step 1)->0(at step 2)
| 7 | 2d_turing_machine | states/00251.json | |
Rules:
State 0, Symbol 0 -> Write 2, Move up, New State 1
State 0, Symbol 1 -> Write 0, Move right, New State 1
State 0, Symbol 2 -> Write 0, Move left, New State 1
State 0, Symbol 3 -> Write 0, Move up, New State 2
State 0, Symbol 4 -> Write 2, Move left, New State 0
State 1, Symbol 0 -> Write 4, Move up, New State 1
State 1, Symbol 1 -> Write 3, Move up, New State 0
State 1, Symbol 2 -> Write 4, Move down, New State 2
State 1, Symbol 3 -> Write 4, Move right, New State 0
State 1, Symbol 4 -> Write 4, Move up, New State 1
State 2, Symbol 0 -> Write 4, Move down, New State 1
State 2, Symbol 1 -> Write 0, Move down, New State 2
State 2, Symbol 2 -> Write 0, Move left, New State 2
State 2, Symbol 3 -> Write 2, Move right, New State 0
State 2, Symbol 4 -> Write 3, Move up, New State 0
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Symbol 4: Color = cyan
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (3, 0) with State 2 on Symbol 0 that is {0}.
Question: where will the head be after 7 steps?
Options:
1: (3, 0)
2: (0, 4)
3: (4, 2)
4: (4, 0)
5: (3, 2)
6: (3, 3)
7: (0, 3)
8: (2, 2)
| 8 | 2d_turing_machine | states/00022.json | |
Rules:
State 0, Symbol 0 -> Write 3, Move up, New State 0
State 0, Symbol 1 -> Write 0, Move right, New State 1
State 0, Symbol 2 -> Write 0, Move left, New State 2
State 0, Symbol 3 -> Write 1, Move up, New State 2
State 0, Symbol 4 -> Write 4, Move left, New State 0
State 1, Symbol 0 -> Write 2, Move down, New State 2
State 1, Symbol 1 -> Write 0, Move down, New State 2
State 1, Symbol 2 -> Write 2, Move right, New State 1
State 1, Symbol 3 -> Write 4, Move left, New State 1
State 1, Symbol 4 -> Write 0, Move down, New State 1
State 2, Symbol 0 -> Write 2, Move up, New State 1
State 2, Symbol 1 -> Write 3, Move up, New State 0
State 2, Symbol 2 -> Write 3, Move up, New State 1
State 2, Symbol 3 -> Write 1, Move down, New State 0
State 2, Symbol 4 -> Write 3, Move up, New State 2
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Symbol 4: Color = cyan
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (0, 2) with State 1 on Symbol 4 that is [4].
Question: after how many steps will the head first enter state 0?
Options:
1: 1
2: 2
3: 4
4: 5
5: 6
6: 8
7: 7
8: 3
| 8 | 2d_turing_machine | states/00428.json | |
Rules:
State 0, Symbol 0 -> Write 1, Move up, New State 0
State 0, Symbol 1 -> Write 1, Move down, New State 0
State 0, Symbol 2 -> Write 1, Move up, New State 2
State 1, Symbol 0 -> Write 2, Move up, New State 0
State 1, Symbol 1 -> Write 2, Move right, New State 0
State 1, Symbol 2 -> Write 2, Move right, New State 0
State 2, Symbol 0 -> Write 2, Move down, New State 1
State 2, Symbol 1 -> Write 2, Move right, New State 1
State 2, Symbol 2 -> Write 1, Move left, New State 2
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (2, 0) with State 0 on Symbol 1 that is (1).
Question: where will the head be after 8 steps?
Options:
1: (4, 2)
2: (3, 4)
3: (3, 3)
4: (4, 1)
5: (3, 0)
6: (0, 2)
7: (1, 2)
8: (0, 0)
| 1 | 2d_turing_machine | states/00053.json | |
Rules:
State 0, Symbol 0 -> Write 0, Move up, New State 0
State 0, Symbol 1 -> Write 2, Move right, New State 1
State 0, Symbol 2 -> Write 2, Move down, New State 0
State 1, Symbol 0 -> Write 1, Move left, New State 1
State 1, Symbol 1 -> Write 2, Move down, New State 1
State 1, Symbol 2 -> Write 2, Move left, New State 1
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
Current head position is (1, 0) with State 0 on Symbol 2 that is (2).
Question: how does the symbol at position (1, 0) change after 5 steps? Writing the same symbol needs to be tracked.
Options:
1: 2->0(at step 2)->2(at step 4)
2: 2->2(at step 1)->0(at step 2)->0(at step 3)
3: 2->2(at step 1)->2(at step 3)->2(at step 5)
4: 2->0(at step 4)
5: 2->2(at step 1)->0(at step 2)->1(at step 3)
6: 2->0(at step 1)->2(at step 2)->0(at step 4)
7: 2->2(at step 1)->2(at step 3)
8: 2->2(at step 3)
| 3 | 2d_turing_machine | states/00304.json | |
Rules:
State 0, Symbol 0 -> Write 1, Move left, New State 0
State 0, Symbol 1 -> Write 3, Move right, New State 1
State 0, Symbol 2 -> Write 2, Move left, New State 1
State 0, Symbol 3 -> Write 1, Move up, New State 0
State 1, Symbol 0 -> Write 3, Move up, New State 1
State 1, Symbol 1 -> Write 2, Move right, New State 0
State 1, Symbol 2 -> Write 0, Move left, New State 0
State 1, Symbol 3 -> Write 0, Move up, New State 0
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
Current head position is (2, 1) with State 0 on Symbol 2 that is (2).
Question: what will be the head state and symbol under it after 5 steps?
Options:
1: [1]
2: (3)
3: [2]
4: [0]
5: (0)
6: [3]
7: (2)
8: (1)
| 7 | 2d_turing_machine | states/00204.json | |
Rules:
State 0, Symbol 0 -> Write 0, Move left, New State 0
State 0, Symbol 1 -> Write 0, Move left, New State 0
State 0, Symbol 2 -> Write 0, Move left, New State 2
State 0, Symbol 3 -> Write 3, Move left, New State 2
State 0, Symbol 4 -> Write 4, Move left, New State 2
State 1, Symbol 0 -> Write 4, Move right, New State 1
State 1, Symbol 1 -> Write 3, Move up, New State 2
State 1, Symbol 2 -> Write 1, Move left, New State 1
State 1, Symbol 3 -> Write 4, Move down, New State 0
State 1, Symbol 4 -> Write 1, Move right, New State 3
State 2, Symbol 0 -> Write 2, Move down, New State 2
State 2, Symbol 1 -> Write 3, Move right, New State 1
State 2, Symbol 2 -> Write 2, Move down, New State 0
State 2, Symbol 3 -> Write 3, Move up, New State 0
State 2, Symbol 4 -> Write 4, Move right, New State 0
State 3, Symbol 0 -> Write 4, Move right, New State 2
State 3, Symbol 1 -> Write 0, Move left, New State 2
State 3, Symbol 2 -> Write 4, Move left, New State 3
State 3, Symbol 3 -> Write 4, Move down, New State 3
State 3, Symbol 4 -> Write 1, Move up, New State 1
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Symbol 4: Color = cyan
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (2, 1) with State 0 on Symbol 4 that is (4).
Question: after how many steps will the head first enter state 2?
Options:
1: 5
2: 8
3: 1
4: 7
5: 4
6: 3
7: 6
8: 2
| 3 | 2d_turing_machine | states/00474.json | |
Rules:
State 0, Symbol 0 -> Write 1, Move left, New State 1
State 0, Symbol 1 -> Write 2, Move down, New State 0
State 0, Symbol 2 -> Write 0, Move up, New State 1
State 0, Symbol 3 -> Write 2, Move right, New State 1
State 1, Symbol 0 -> Write 0, Move up, New State 1
State 1, Symbol 1 -> Write 3, Move left, New State 0
State 1, Symbol 2 -> Write 2, Move down, New State 1
State 1, Symbol 3 -> Write 2, Move up, New State 1
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
Current head position is (4, 2) with State 1 on Symbol 0 that is [0].
Question: how does the symbol at position (4, 2) change after 6 steps? Writing the same symbol needs to be tracked.
Options:
1: 0->2(at step 1)->3(at step 2)->0(at step 3)->3(at step 5)
2: 0->0(at step 1)
3: 0->2(at step 2)->0(at step 3)->3(at step 4)->2(at step 5)
4: 0->0(at step 2)
5: 0->1(at step 2)->3(at step 3)
6: 0->0(at step 4)
7: 0->1(at step 1)->1(at step 2)->0(at step 5)
8: 0->1(at step 1)->3(at step 4)
| 2 | 2d_turing_machine | states/00295.json | |
Rules:
State 0, Symbol 0 -> Write 3, Move up, New State 0
State 0, Symbol 1 -> Write 3, Move up, New State 1
State 0, Symbol 2 -> Write 0, Move left, New State 1
State 0, Symbol 3 -> Write 2, Move left, New State 0
State 1, Symbol 0 -> Write 1, Move down, New State 1
State 1, Symbol 1 -> Write 1, Move right, New State 0
State 1, Symbol 2 -> Write 3, Move left, New State 1
State 1, Symbol 3 -> Write 3, Move down, New State 1
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
Current head position is (4, 2) with State 0 on Symbol 1 that is (1).
Question: how does the symbol at position (4, 2) change after 6 steps? Writing the same symbol needs to be tracked.
Options:
1: 1->0(at step 1)->3(at step 2)->3(at step 4)->2(at step 5)
2: 1->1(at step 2)->2(at step 4)
3: 1->3(at step 3)->2(at step 4)
4: 1->3(at step 1)->2(at step 3)
5: 1->1(at step 1)->0(at step 2)->2(at step 5)
6: 1->3(at step 1)
7: 1->3(at step 1)->3(at step 3)->3(at step 4)->2(at step 5)
8: 1->2(at step 1)->0(at step 2)->3(at step 3)->2(at step 5)
| 6 | 2d_turing_machine | states/00333.json | |
Rules:
State 0, Symbol 0 -> Write 3, Move left, New State 1
State 0, Symbol 1 -> Write 0, Move down, New State 1
State 0, Symbol 2 -> Write 3, Move down, New State 2
State 0, Symbol 3 -> Write 3, Move down, New State 2
State 1, Symbol 0 -> Write 0, Move down, New State 1
State 1, Symbol 1 -> Write 3, Move left, New State 0
State 1, Symbol 2 -> Write 3, Move down, New State 1
State 1, Symbol 3 -> Write 0, Move down, New State 0
State 2, Symbol 0 -> Write 1, Move right, New State 2
State 2, Symbol 1 -> Write 0, Move up, New State 2
State 2, Symbol 2 -> Write 3, Move right, New State 0
State 2, Symbol 3 -> Write 3, Move left, New State 2
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (0, 2) with State 0 on Symbol 3 that is (3).
Question: what will be the head state and symbol under it after 6 steps?
Options:
1: (0)
2: {0}
3: {2}
4: [1]
5: (3)
6: (2)
7: [3]
8: {1}
| 2 | 2d_turing_machine | states/00216.json | |
Rules:
State 0, Symbol 0 -> Write 0, Move right, New State 1
State 0, Symbol 1 -> Write 0, Move left, New State 3
State 0, Symbol 2 -> Write 1, Move right, New State 3
State 1, Symbol 0 -> Write 2, Move down, New State 1
State 1, Symbol 1 -> Write 0, Move left, New State 3
State 1, Symbol 2 -> Write 0, Move up, New State 3
State 2, Symbol 0 -> Write 2, Move left, New State 0
State 2, Symbol 1 -> Write 0, Move right, New State 0
State 2, Symbol 2 -> Write 1, Move right, New State 0
State 3, Symbol 0 -> Write 0, Move left, New State 2
State 3, Symbol 1 -> Write 0, Move up, New State 3
State 3, Symbol 2 -> Write 1, Move right, New State 0
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (3, 0) with State 2 on Symbol 2 that is {2}.
Question: what will be the head state and symbol under it after 5 steps?
Options:
1: (2)
2: (0)
3: [2]
4: {1}
5: [1]
6: <2>
7: (1)
8: <1>
| 2 | 2d_turing_machine | states/00241.json | |
Rules:
State 0, Symbol 0 -> Write 0, Move up, New State 0
State 0, Symbol 1 -> Write 0, Move down, New State 0
State 0, Symbol 2 -> Write 2, Move down, New State 0
State 1, Symbol 0 -> Write 2, Move left, New State 2
State 1, Symbol 1 -> Write 1, Move down, New State 0
State 1, Symbol 2 -> Write 1, Move right, New State 1
State 2, Symbol 0 -> Write 0, Move down, New State 3
State 2, Symbol 1 -> Write 0, Move left, New State 1
State 2, Symbol 2 -> Write 0, Move down, New State 2
State 3, Symbol 0 -> Write 2, Move right, New State 2
State 3, Symbol 1 -> Write 1, Move up, New State 3
State 3, Symbol 2 -> Write 1, Move down, New State 1
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (0, 1) with State 0 on Symbol 2 that is (2).
Question: how does the symbol at position (1, 1) change after 6 steps? Writing the same symbol needs to be tracked.
Options:
1: 2->2(at step 1)->2(at step 3)
2: 2->1(at step 1)->2(at step 4)->1(at step 5)
3: 2->1(at step 1)->0(at step 3)->1(at step 4)
4: 2->1(at step 2)->1(at step 4)
5: 2->0(at step 1)->2(at step 3)->1(at step 4)->1(at step 5)
6: 2->2(at step 2)->2(at step 4)->2(at step 6)
7: 2->2(at step 1)->1(at step 3)->2(at step 5)
8: 2->2(at step 1)->1(at step 2)->1(at step 3)->2(at step 4)
| 6 | 2d_turing_machine | states/00311.json | |
Rules:
State 0, Symbol 0 -> Write 2, Move down, New State 1
State 0, Symbol 1 -> Write 1, Move down, New State 1
State 0, Symbol 2 -> Write 1, Move left, New State 1
State 1, Symbol 0 -> Write 2, Move right, New State 2
State 1, Symbol 1 -> Write 2, Move up, New State 2
State 1, Symbol 2 -> Write 1, Move right, New State 1
State 2, Symbol 0 -> Write 0, Move left, New State 0
State 2, Symbol 1 -> Write 2, Move down, New State 1
State 2, Symbol 2 -> Write 0, Move down, New State 1
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (0, 0) with State 0 on Symbol 0 that is (0).
Question: what will be the head state and symbol under it after 3 steps?
Options:
1: {2}
2: (2)
3: (1)
4: [0]
5: [2]
6: (0)
7: [1]
8: {1}
| 5 | 2d_turing_machine | states/00134.json | |
Rules:
State 0, Symbol 0 -> Write 3, Move up, New State 0
State 0, Symbol 1 -> Write 2, Move down, New State 1
State 0, Symbol 2 -> Write 3, Move right, New State 1
State 0, Symbol 3 -> Write 1, Move left, New State 1
State 1, Symbol 0 -> Write 1, Move down, New State 0
State 1, Symbol 1 -> Write 3, Move up, New State 0
State 1, Symbol 2 -> Write 3, Move down, New State 0
State 1, Symbol 3 -> Write 0, Move up, New State 1
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
Current head position is (3, 3) with State 0 on Symbol 3 that is (3).
Question: how does the symbol at position (2, 2) change after 5 steps? Writing the same symbol needs to be tracked.
Options:
1: 1->1(at step 1)->3(at step 3)->1(at step 4)
2: 1->3(at step 1)
3: 1->3(at step 1)->2(at step 2)->0(at step 3)
4: 1->3(at step 2)
5: 1->2(at step 3)->3(at step 5)
6: 1->2(at step 2)->3(at step 3)
7: 1->1(at step 1)->2(at step 4)
8: 1->1(at step 2)
| 5 | 2d_turing_machine | states/00334.json | |
Rules:
State 0, Symbol 0 -> Write 2, Move right, New State 0
State 0, Symbol 1 -> Write 1, Move right, New State 2
State 0, Symbol 2 -> Write 1, Move up, New State 2
State 1, Symbol 0 -> Write 1, Move up, New State 3
State 1, Symbol 1 -> Write 2, Move left, New State 2
State 1, Symbol 2 -> Write 1, Move down, New State 3
State 2, Symbol 0 -> Write 1, Move left, New State 1
State 2, Symbol 1 -> Write 2, Move right, New State 2
State 2, Symbol 2 -> Write 1, Move left, New State 1
State 3, Symbol 0 -> Write 1, Move up, New State 2
State 3, Symbol 1 -> Write 2, Move down, New State 3
State 3, Symbol 2 -> Write 0, Move right, New State 3
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (1, 2) with State 2 on Symbol 0 that is {0}.
Question: what will be the head state and symbol under it after 7 steps?
Options:
1: (2)
2: {2}
3: [2]
4: (0)
5: <2>
6: <0>
7: <1>
8: (1)
| 7 | 2d_turing_machine | states/00132.json | |
Rules:
State 0, Symbol 0 -> Write 0, Move up, New State 0
State 0, Symbol 1 -> Write 1, Move left, New State 1
State 0, Symbol 2 -> Write 0, Move left, New State 3
State 1, Symbol 0 -> Write 1, Move up, New State 1
State 1, Symbol 1 -> Write 2, Move right, New State 0
State 1, Symbol 2 -> Write 0, Move down, New State 1
State 2, Symbol 0 -> Write 1, Move up, New State 2
State 2, Symbol 1 -> Write 0, Move right, New State 0
State 2, Symbol 2 -> Write 0, Move up, New State 3
State 3, Symbol 0 -> Write 2, Move down, New State 1
State 3, Symbol 1 -> Write 1, Move right, New State 0
State 3, Symbol 2 -> Write 1, Move left, New State 2
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (3, 1) with State 2 on Symbol 2 that is {2}.
Question: after how many steps will the head first enter state 1?
Options:
1: 2
2: 1
3: 5
4: 4
5: 7
6: 6
7: 3
8: 8
| 4 | 2d_turing_machine | states/00401.json | |
Rules:
State 0, Symbol 0 -> Write 3, Move up, New State 2
State 0, Symbol 1 -> Write 2, Move right, New State 1
State 0, Symbol 2 -> Write 1, Move left, New State 2
State 0, Symbol 3 -> Write 4, Move down, New State 1
State 0, Symbol 4 -> Write 4, Move left, New State 1
State 1, Symbol 0 -> Write 3, Move down, New State 0
State 1, Symbol 1 -> Write 0, Move left, New State 1
State 1, Symbol 2 -> Write 2, Move left, New State 3
State 1, Symbol 3 -> Write 2, Move down, New State 1
State 1, Symbol 4 -> Write 4, Move up, New State 3
State 2, Symbol 0 -> Write 4, Move left, New State 0
State 2, Symbol 1 -> Write 2, Move left, New State 0
State 2, Symbol 2 -> Write 1, Move right, New State 2
State 2, Symbol 3 -> Write 0, Move down, New State 3
State 2, Symbol 4 -> Write 0, Move down, New State 3
State 3, Symbol 0 -> Write 0, Move right, New State 1
State 3, Symbol 1 -> Write 2, Move left, New State 0
State 3, Symbol 2 -> Write 0, Move right, New State 1
State 3, Symbol 3 -> Write 1, Move up, New State 3
State 3, Symbol 4 -> Write 0, Move right, New State 0
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Symbol 4: Color = cyan
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (4, 3) with State 0 on Symbol 0 that is (0).
Question: after how many steps will the head first enter state 2?
Options:
1: 8
2: 4
3: 6
4: 1
5: 7
6: 3
7: 5
8: 2
| 4 | 2d_turing_machine | states/00387.json | |
Rules:
State 0, Symbol 0 -> Write 0, Move left, New State 2
State 0, Symbol 1 -> Write 1, Move up, New State 0
State 0, Symbol 2 -> Write 2, Move right, New State 1
State 1, Symbol 0 -> Write 2, Move up, New State 2
State 1, Symbol 1 -> Write 1, Move right, New State 0
State 1, Symbol 2 -> Write 2, Move down, New State 0
State 2, Symbol 0 -> Write 2, Move left, New State 0
State 2, Symbol 1 -> Write 1, Move down, New State 1
State 2, Symbol 2 -> Write 0, Move down, New State 0
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (2, 0) with State 0 on Symbol 1 that is (1).
Question: how does the symbol at position (1, 2) change after 6 steps? Writing the same symbol needs to be tracked.
Options:
1: 0->0(at step 4)
2: 0->0(at step 3)
3: 0->2(at step 2)
4: 0->1(at step 2)->1(at step 3)->2(at step 4)->1(at step 5)
5: 0->1(at step 2)
6: 0->1(at step 1)->0(at step 2)->0(at step 4)->2(at step 5)
7: 0->2(at step 1)->2(at step 2)->0(at step 5)
8: 0->1(at step 4)
| 1 | 2d_turing_machine | states/00332.json | |
Rules:
State 0, Symbol 0 -> Write 0, Move up, New State 1
State 0, Symbol 1 -> Write 1, Move down, New State 2
State 0, Symbol 2 -> Write 2, Move down, New State 1
State 1, Symbol 0 -> Write 0, Move down, New State 0
State 1, Symbol 1 -> Write 2, Move down, New State 2
State 1, Symbol 2 -> Write 1, Move left, New State 0
State 2, Symbol 0 -> Write 1, Move down, New State 2
State 2, Symbol 1 -> Write 2, Move down, New State 2
State 2, Symbol 2 -> Write 1, Move right, New State 2
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (0, 1) with State 1 on Symbol 0 that is [0].
Question: where will the head be after 4 steps?
Options:
1: (2, 0)
2: (4, 1)
3: (0, 1)
4: (2, 1)
5: (4, 0)
6: (3, 2)
7: (0, 2)
8: (3, 1)
| 3 | 2d_turing_machine | states/00086.json | |
Rules:
State 0, Symbol 0 -> Write 4, Move left, New State 1
State 0, Symbol 1 -> Write 4, Move right, New State 1
State 0, Symbol 2 -> Write 4, Move right, New State 2
State 0, Symbol 3 -> Write 1, Move down, New State 1
State 0, Symbol 4 -> Write 3, Move up, New State 1
State 1, Symbol 0 -> Write 3, Move down, New State 2
State 1, Symbol 1 -> Write 0, Move left, New State 1
State 1, Symbol 2 -> Write 1, Move right, New State 3
State 1, Symbol 3 -> Write 1, Move left, New State 2
State 1, Symbol 4 -> Write 4, Move left, New State 1
State 2, Symbol 0 -> Write 4, Move up, New State 3
State 2, Symbol 1 -> Write 1, Move up, New State 2
State 2, Symbol 2 -> Write 3, Move right, New State 3
State 2, Symbol 3 -> Write 4, Move right, New State 1
State 2, Symbol 4 -> Write 2, Move up, New State 0
State 3, Symbol 0 -> Write 0, Move down, New State 3
State 3, Symbol 1 -> Write 3, Move left, New State 3
State 3, Symbol 2 -> Write 0, Move right, New State 3
State 3, Symbol 3 -> Write 4, Move up, New State 0
State 3, Symbol 4 -> Write 3, Move up, New State 0
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Symbol 4: Color = cyan
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (1, 0) with State 2 on Symbol 3 that is {3}.
Question: how does the symbol at position (2, 2) change after 4 steps? Writing the same symbol needs to be tracked.
Options:
1: 4->1(at step 1)->0(at step 2)->3(at step 3)
2: 4->0(at step 1)->0(at step 3)
3: 4->2(at step 2)->1(at step 3)
4: 4->2(at step 2)
5: 4->3(at step 2)->3(at step 3)
6: 4->3(at step 2)
7: 4->1(at step 1)->4(at step 2)->3(at step 3)
8: 4->3(at step 4)
| 8 | 2d_turing_machine | states/00273.json | |
Rules:
State 0, Symbol 0 -> Write 3, Move down, New State 2
State 0, Symbol 1 -> Write 0, Move left, New State 3
State 0, Symbol 2 -> Write 3, Move up, New State 2
State 0, Symbol 3 -> Write 1, Move up, New State 2
State 1, Symbol 0 -> Write 2, Move up, New State 0
State 1, Symbol 1 -> Write 1, Move down, New State 3
State 1, Symbol 2 -> Write 3, Move down, New State 1
State 1, Symbol 3 -> Write 2, Move down, New State 3
State 2, Symbol 0 -> Write 0, Move right, New State 2
State 2, Symbol 1 -> Write 1, Move left, New State 3
State 2, Symbol 2 -> Write 3, Move right, New State 2
State 2, Symbol 3 -> Write 0, Move up, New State 2
State 3, Symbol 0 -> Write 2, Move left, New State 2
State 3, Symbol 1 -> Write 3, Move up, New State 2
State 3, Symbol 2 -> Write 0, Move up, New State 3
State 3, Symbol 3 -> Write 1, Move down, New State 0
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (3, 0) with State 0 on Symbol 2 that is (2).
Question: after how many steps will the head first enter state 2?
Options:
1: 6
2: 7
3: 4
4: 5
5: 1
6: 8
7: 3
8: 2
| 5 | 2d_turing_machine | states/00413.json | |
Rules:
State 0, Symbol 0 -> Write 0, Move up, New State 3
State 0, Symbol 1 -> Write 1, Move left, New State 3
State 0, Symbol 2 -> Write 2, Move left, New State 3
State 0, Symbol 3 -> Write 3, Move left, New State 0
State 1, Symbol 0 -> Write 3, Move left, New State 1
State 1, Symbol 1 -> Write 1, Move up, New State 2
State 1, Symbol 2 -> Write 2, Move right, New State 0
State 1, Symbol 3 -> Write 0, Move right, New State 2
State 2, Symbol 0 -> Write 2, Move right, New State 1
State 2, Symbol 1 -> Write 1, Move up, New State 0
State 2, Symbol 2 -> Write 3, Move up, New State 0
State 2, Symbol 3 -> Write 2, Move down, New State 1
State 3, Symbol 0 -> Write 3, Move up, New State 2
State 3, Symbol 1 -> Write 1, Move down, New State 0
State 3, Symbol 2 -> Write 3, Move up, New State 3
State 3, Symbol 3 -> Write 1, Move right, New State 1
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (1, 0) with State 0 on Symbol 0 that is (0).
Question: where will the head be after 6 steps?
Options:
1: (3, 2)
2: (0, 3)
3: (2, 3)
4: (3, 1)
5: (1, 0)
6: (2, 1)
7: (3, 0)
8: (2, 0)
| 5 | 2d_turing_machine | states/00036.json | |
Rules:
State 0, Symbol 0 -> Write 0, Move left, New State 0
State 0, Symbol 1 -> Write 2, Move up, New State 0
State 0, Symbol 2 -> Write 1, Move down, New State 0
State 1, Symbol 0 -> Write 0, Move left, New State 0
State 1, Symbol 1 -> Write 1, Move left, New State 1
State 1, Symbol 2 -> Write 0, Move down, New State 0
State 2, Symbol 0 -> Write 2, Move left, New State 0
State 2, Symbol 1 -> Write 0, Move left, New State 1
State 2, Symbol 2 -> Write 0, Move down, New State 2
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (3, 3) with State 1 on Symbol 1 that is [1].
Question: where will the head be after 8 steps?
Options:
1: (3, 3)
2: (4, 2)
3: (1, 1)
4: (3, 0)
5: (4, 1)
6: (4, 0)
7: (2, 4)
8: (0, 2)
| 6 | 2d_turing_machine | states/00007.json | |
Rules:
State 0, Symbol 0 -> Write 1, Move left, New State 1
State 0, Symbol 1 -> Write 2, Move left, New State 1
State 0, Symbol 2 -> Write 3, Move right, New State 0
State 0, Symbol 3 -> Write 3, Move right, New State 2
State 1, Symbol 0 -> Write 3, Move down, New State 1
State 1, Symbol 1 -> Write 0, Move up, New State 0
State 1, Symbol 2 -> Write 1, Move down, New State 0
State 1, Symbol 3 -> Write 2, Move up, New State 1
State 2, Symbol 0 -> Write 3, Move right, New State 0
State 2, Symbol 1 -> Write 2, Move right, New State 0
State 2, Symbol 2 -> Write 1, Move left, New State 1
State 2, Symbol 3 -> Write 2, Move right, New State 2
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (4, 2) with State 1 on Symbol 1 that is [1].
Question: what will be the head state and symbol under it after 6 steps?
Options:
1: [1]
2: {1}
3: [0]
4: (0)
5: (3)
6: (2)
7: [3]
8: {0}
| 6 | 2d_turing_machine | states/00130.json | |
Rules:
State 0, Symbol 0 -> Write 0, Move down, New State 1
State 0, Symbol 1 -> Write 2, Move right, New State 0
State 0, Symbol 2 -> Write 1, Move right, New State 0
State 1, Symbol 0 -> Write 0, Move up, New State 0
State 1, Symbol 1 -> Write 0, Move down, New State 1
State 1, Symbol 2 -> Write 2, Move up, New State 1
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
Current head position is (0, 3) with State 0 on Symbol 0 that is (0).
Question: what will be the head state and symbol under it after 5 steps?
Options:
1: [1]
2: [0]
3: [2]
4: (0)
5: (2)
6: (1)
| 2 | 2d_turing_machine | states/00233.json | |
Rules:
State 0, Symbol 0 -> Write 2, Move left, New State 1
State 0, Symbol 1 -> Write 0, Move down, New State 0
State 0, Symbol 2 -> Write 1, Move right, New State 1
State 1, Symbol 0 -> Write 1, Move left, New State 0
State 1, Symbol 1 -> Write 1, Move up, New State 0
State 1, Symbol 2 -> Write 1, Move down, New State 1
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
Current head position is (1, 3) with State 1 on Symbol 0 that is [0].
Question: after how many steps will the head first enter state 0?
Options:
1: 6
2: 4
3: 3
4: 5
5: 2
6: 7
7: 8
8: 1
| 8 | 2d_turing_machine | states/00386.json | |
Rules:
State 0, Symbol 0 -> Write 0, Move down, New State 0
State 0, Symbol 1 -> Write 1, Move up, New State 0
State 0, Symbol 2 -> Write 2, Move up, New State 0
State 1, Symbol 0 -> Write 1, Move down, New State 2
State 1, Symbol 1 -> Write 1, Move up, New State 0
State 1, Symbol 2 -> Write 2, Move up, New State 1
State 2, Symbol 0 -> Write 0, Move right, New State 3
State 2, Symbol 1 -> Write 2, Move left, New State 3
State 2, Symbol 2 -> Write 2, Move left, New State 3
State 3, Symbol 0 -> Write 0, Move up, New State 1
State 3, Symbol 1 -> Write 0, Move up, New State 3
State 3, Symbol 2 -> Write 1, Move left, New State 2
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (2, 2) with State 0 on Symbol 1 that is (1).
Question: where will the head be after 7 steps?
Options:
1: (3, 2)
2: (3, 1)
3: (1, 2)
4: (0, 1)
5: (2, 3)
6: (2, 2)
7: (2, 1)
8: (2, 0)
| 3 | 2d_turing_machine | states/00102.json | |
Rules:
State 0, Symbol 0 -> Write 0, Move up, New State 0
State 0, Symbol 1 -> Write 1, Move left, New State 2
State 0, Symbol 2 -> Write 0, Move up, New State 1
State 0, Symbol 3 -> Write 0, Move left, New State 2
State 0, Symbol 4 -> Write 3, Move up, New State 0
State 1, Symbol 0 -> Write 3, Move right, New State 1
State 1, Symbol 1 -> Write 0, Move left, New State 2
State 1, Symbol 2 -> Write 4, Move left, New State 1
State 1, Symbol 3 -> Write 3, Move right, New State 0
State 1, Symbol 4 -> Write 4, Move right, New State 0
State 2, Symbol 0 -> Write 0, Move left, New State 1
State 2, Symbol 1 -> Write 4, Move left, New State 3
State 2, Symbol 2 -> Write 1, Move down, New State 2
State 2, Symbol 3 -> Write 0, Move down, New State 1
State 2, Symbol 4 -> Write 4, Move left, New State 1
State 3, Symbol 0 -> Write 4, Move down, New State 1
State 3, Symbol 1 -> Write 1, Move left, New State 0
State 3, Symbol 2 -> Write 3, Move left, New State 3
State 3, Symbol 3 -> Write 4, Move down, New State 0
State 3, Symbol 4 -> Write 1, Move right, New State 2
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Symbol 4: Color = cyan
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (0, 0) with State 3 on Symbol 0 that is <0>.
Question: where will the head be after 7 steps?
Options:
1: (3, 2)
2: (0, 1)
3: (2, 1)
4: (0, 0)
5: (0, 2)
6: (2, 2)
7: (2, 0)
8: (3, 1)
| 3 | 2d_turing_machine | states/00026.json | |
Rules:
State 0, Symbol 0 -> Write 0, Move up, New State 0
State 0, Symbol 1 -> Write 1, Move down, New State 0
State 0, Symbol 2 -> Write 0, Move down, New State 1
State 0, Symbol 3 -> Write 3, Move right, New State 0
State 0, Symbol 4 -> Write 4, Move down, New State 1
State 1, Symbol 0 -> Write 0, Move right, New State 0
State 1, Symbol 1 -> Write 0, Move down, New State 0
State 1, Symbol 2 -> Write 0, Move left, New State 0
State 1, Symbol 3 -> Write 4, Move right, New State 1
State 1, Symbol 4 -> Write 2, Move left, New State 1
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Symbol 4: Color = cyan
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
Current head position is (2, 0) with State 1 on Symbol 0 that is [0].
Question: how does the symbol at position (2, 2) change after 3 steps? Writing the same symbol needs to be tracked.
Options:
1: 1->2(at step 1)
2: 1->4(at step 2)
3: 1->3(at step 1)
4: 1->0(at step 1)
5: 1->0(at step 2)
6: 1->1(at step 3)
7: 1->0(at step 1)->4(at step 2)
8: 1->3(at step 1)->3(at step 2)
| 6 | 2d_turing_machine | states/00357.json | |
Rules:
State 0, Symbol 0 -> Write 3, Move down, New State 1
State 0, Symbol 1 -> Write 0, Move right, New State 2
State 0, Symbol 2 -> Write 4, Move right, New State 1
State 0, Symbol 3 -> Write 1, Move up, New State 0
State 0, Symbol 4 -> Write 3, Move left, New State 0
State 1, Symbol 0 -> Write 1, Move down, New State 2
State 1, Symbol 1 -> Write 4, Move down, New State 2
State 1, Symbol 2 -> Write 3, Move up, New State 1
State 1, Symbol 3 -> Write 3, Move down, New State 2
State 1, Symbol 4 -> Write 1, Move left, New State 1
State 2, Symbol 0 -> Write 0, Move left, New State 1
State 2, Symbol 1 -> Write 4, Move up, New State 2
State 2, Symbol 2 -> Write 1, Move up, New State 0
State 2, Symbol 3 -> Write 3, Move left, New State 0
State 2, Symbol 4 -> Write 1, Move left, New State 2
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Symbol 4: Color = cyan
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (2, 2) with State 1 on Symbol 4 that is [4].
Question: how does the symbol at position (2, 2) change after 7 steps? Writing the same symbol needs to be tracked.
Options:
1: 4->2(at step 2)->2(at step 3)
2: 4->3(at step 1)->1(at step 5)
3: 4->0(at step 2)->0(at step 3)->2(at step 5)->3(at step 6)
4: 4->0(at step 1)->4(at step 3)->1(at step 4)->1(at step 6)
5: 4->1(at step 4)->3(at step 6)
6: 4->4(at step 1)->0(at step 4)->2(at step 6)
7: 4->1(at step 1)->4(at step 2)->2(at step 5)
8: 4->1(at step 1)
| 8 | 2d_turing_machine | states/00290.json | |
Rules:
State 0, Symbol 0 -> Write 2, Move down, New State 0
State 0, Symbol 1 -> Write 1, Move right, New State 3
State 0, Symbol 2 -> Write 2, Move left, New State 0
State 1, Symbol 0 -> Write 0, Move up, New State 2
State 1, Symbol 1 -> Write 0, Move right, New State 2
State 1, Symbol 2 -> Write 0, Move down, New State 0
State 2, Symbol 0 -> Write 1, Move up, New State 3
State 2, Symbol 1 -> Write 0, Move down, New State 0
State 2, Symbol 2 -> Write 0, Move up, New State 2
State 3, Symbol 0 -> Write 2, Move left, New State 1
State 3, Symbol 1 -> Write 1, Move up, New State 2
State 3, Symbol 2 -> Write 2, Move left, New State 0
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (1, 0) with State 0 on Symbol 1 that is (1).
Question: where will the head be after 7 steps?
Options:
1: (4, 1)
2: (2, 1)
3: (1, 1)
4: (0, 1)
5: (2, 0)
6: (3, 1)
7: (2, 2)
8: (3, 0)
| 3 | 2d_turing_machine | states/00056.json | |
Rules:
State 0, Symbol 0 -> Write 0, Move up, New State 1
State 0, Symbol 1 -> Write 2, Move down, New State 0
State 0, Symbol 2 -> Write 2, Move down, New State 1
State 1, Symbol 0 -> Write 0, Move down, New State 1
State 1, Symbol 1 -> Write 0, Move up, New State 0
State 1, Symbol 2 -> Write 2, Move up, New State 1
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
Current head position is (3, 2) with State 1 on Symbol 0 that is [0].
Question: where will the head be after 3 steps?
Options:
1: (0, 2)
2: (4, 1)
3: (4, 2)
4: (1, 2)
5: (2, 2)
6: (3, 0)
7: (0, 1)
8: (0, 0)
| 5 | 2d_turing_machine | states/00112.json | |
Rules:
State 0, Symbol 0 -> Write 0, Move down, New State 1
State 0, Symbol 1 -> Write 1, Move down, New State 1
State 0, Symbol 2 -> Write 2, Move down, New State 0
State 1, Symbol 0 -> Write 0, Move up, New State 2
State 1, Symbol 1 -> Write 2, Move down, New State 1
State 1, Symbol 2 -> Write 1, Move up, New State 1
State 2, Symbol 0 -> Write 0, Move up, New State 0
State 2, Symbol 1 -> Write 1, Move up, New State 0
State 2, Symbol 2 -> Write 2, Move left, New State 1
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (1, 2) with State 2 on Symbol 0 that is {0}.
Question: where will the head be after 7 steps?
Options:
1: (0, 0)
2: (0, 1)
3: (1, 1)
4: (2, 1)
5: (2, 0)
6: (2, 2)
7: (0, 2)
8: (1, 2)
| 6 | 2d_turing_machine | states/00123.json | |
Rules:
State 0, Symbol 0 -> Write 1, Move up, New State 2
State 0, Symbol 1 -> Write 1, Move up, New State 2
State 0, Symbol 2 -> Write 1, Move right, New State 2
State 1, Symbol 0 -> Write 1, Move up, New State 0
State 1, Symbol 1 -> Write 1, Move down, New State 0
State 1, Symbol 2 -> Write 0, Move right, New State 0
State 2, Symbol 0 -> Write 0, Move down, New State 3
State 2, Symbol 1 -> Write 0, Move right, New State 1
State 2, Symbol 2 -> Write 2, Move left, New State 3
State 3, Symbol 0 -> Write 2, Move right, New State 2
State 3, Symbol 1 -> Write 2, Move up, New State 2
State 3, Symbol 2 -> Write 2, Move up, New State 1
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (3, 1) with State 0 on Symbol 2 that is (2).
Question: after how many steps will the head first enter state 3?
Options:
1: 4
2: 7
3: 3
4: 2
5: 1
6: 8
7: 6
8: 5
| 4 | 2d_turing_machine | states/00399.json | |
Rules:
State 0, Symbol 0 -> Write 1, Move left, New State 1
State 0, Symbol 1 -> Write 0, Move right, New State 1
State 0, Symbol 2 -> Write 1, Move up, New State 0
State 1, Symbol 0 -> Write 0, Move down, New State 0
State 1, Symbol 1 -> Write 0, Move left, New State 0
State 1, Symbol 2 -> Write 1, Move left, New State 1
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
Current head position is (3, 2) with State 0 on Symbol 0 that is (0).
Question: where will the head be after 4 steps?
Options:
1: (3, 0)
2: (1, 1)
3: (3, 2)
4: (2, 2)
5: (4, 0)
6: (0, 2)
7: (1, 0)
8: (0, 0)
| 7 | 2d_turing_machine | states/00042.json | |
Rules:
State 0, Symbol 0 -> Write 1, Move up, New State 1
State 0, Symbol 1 -> Write 0, Move right, New State 2
State 0, Symbol 2 -> Write 0, Move up, New State 0
State 1, Symbol 0 -> Write 0, Move left, New State 0
State 1, Symbol 1 -> Write 1, Move left, New State 3
State 1, Symbol 2 -> Write 1, Move left, New State 0
State 2, Symbol 0 -> Write 1, Move left, New State 3
State 2, Symbol 1 -> Write 2, Move right, New State 3
State 2, Symbol 2 -> Write 1, Move down, New State 2
State 3, Symbol 0 -> Write 1, Move right, New State 0
State 3, Symbol 1 -> Write 1, Move right, New State 1
State 3, Symbol 2 -> Write 1, Move up, New State 0
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (1, 0) with State 3 on Symbol 1 that is <1>.
Question: how does the symbol at position (1, 1) change after 8 steps? Writing the same symbol needs to be tracked.
Options:
1: 1->0(at step 2)->1(at step 3)
2: 1->1(at step 1)->1(at step 2)->1(at step 6)->0(at step 7)
3: 1->0(at step 2)->2(at step 3)->2(at step 4)->2(at step 7)
4: 1->1(at step 1)->2(at step 2)->0(at step 4)->1(at step 5)->2(at step 6)
5: 1->2(at step 1)->0(at step 2)->2(at step 6)
6: 1->1(at step 1)
7: 1->1(at step 2)->1(at step 4)->1(at step 6)->1(at step 8)
8: 1->1(at step 1)->0(at step 5)->2(at step 6)
| 7 | 2d_turing_machine | states/00277.json | |
Rules:
State 0, Symbol 0 -> Write 3, Move up, New State 3
State 0, Symbol 1 -> Write 1, Move down, New State 0
State 0, Symbol 2 -> Write 3, Move right, New State 0
State 0, Symbol 3 -> Write 1, Move left, New State 0
State 1, Symbol 0 -> Write 2, Move down, New State 1
State 1, Symbol 1 -> Write 2, Move up, New State 0
State 1, Symbol 2 -> Write 3, Move down, New State 3
State 1, Symbol 3 -> Write 2, Move right, New State 2
State 2, Symbol 0 -> Write 3, Move left, New State 3
State 2, Symbol 1 -> Write 2, Move right, New State 2
State 2, Symbol 2 -> Write 3, Move right, New State 0
State 2, Symbol 3 -> Write 1, Move left, New State 1
State 3, Symbol 0 -> Write 2, Move right, New State 1
State 3, Symbol 1 -> Write 2, Move up, New State 2
State 3, Symbol 2 -> Write 0, Move right, New State 2
State 3, Symbol 3 -> Write 3, Move down, New State 1
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (1, 0) with State 1 on Symbol 3 that is [3].
Question: where will the head be after 8 steps?
Options:
1: (0, 0)
2: (2, 1)
3: (1, 0)
4: (2, 0)
5: (1, 1)
6: (2, 2)
7: (4, 1)
8: (4, 2)
| 2 | 2d_turing_machine | states/00103.json | |
Rules:
State 0, Symbol 0 -> Write 4, Move down, New State 0
State 0, Symbol 1 -> Write 1, Move right, New State 1
State 0, Symbol 2 -> Write 1, Move left, New State 1
State 0, Symbol 3 -> Write 3, Move up, New State 0
State 0, Symbol 4 -> Write 4, Move right, New State 1
State 1, Symbol 0 -> Write 2, Move left, New State 1
State 1, Symbol 1 -> Write 0, Move left, New State 0
State 1, Symbol 2 -> Write 2, Move right, New State 1
State 1, Symbol 3 -> Write 3, Move left, New State 0
State 1, Symbol 4 -> Write 2, Move down, New State 1
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Symbol 4: Color = cyan
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
Current head position is (1, 2) with State 0 on Symbol 2 that is (2).
Question: what will be the head state and symbol under it after 4 steps?
Options:
1: [0]
2: [3]
3: (3)
4: [2]
5: (0)
6: (2)
7: [4]
8: (4)
| 3 | 2d_turing_machine | states/00239.json | |
Rules:
State 0, Symbol 0 -> Write 0, Move up, New State 1
State 0, Symbol 1 -> Write 4, Move left, New State 2
State 0, Symbol 2 -> Write 3, Move down, New State 0
State 0, Symbol 3 -> Write 4, Move down, New State 0
State 0, Symbol 4 -> Write 3, Move right, New State 0
State 1, Symbol 0 -> Write 4, Move right, New State 0
State 1, Symbol 1 -> Write 0, Move right, New State 2
State 1, Symbol 2 -> Write 4, Move left, New State 2
State 1, Symbol 3 -> Write 3, Move right, New State 1
State 1, Symbol 4 -> Write 0, Move up, New State 0
State 2, Symbol 0 -> Write 0, Move right, New State 1
State 2, Symbol 1 -> Write 4, Move right, New State 0
State 2, Symbol 2 -> Write 1, Move right, New State 0
State 2, Symbol 3 -> Write 0, Move down, New State 1
State 2, Symbol 4 -> Write 1, Move down, New State 1
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Symbol 4: Color = cyan
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (1, 2) with State 2 on Symbol 4 that is {4}.
Question: after how many steps will the head first enter state 1?
Options:
1: 7
2: 5
3: 6
4: 8
5: 2
6: 3
7: 4
8: 1
| 8 | 2d_turing_machine | states/00400.json | |
Rules:
State 0, Symbol 0 -> Write 2, Move left, New State 0
State 0, Symbol 1 -> Write 0, Move down, New State 1
State 0, Symbol 2 -> Write 3, Move left, New State 0
State 0, Symbol 3 -> Write 1, Move right, New State 1
State 1, Symbol 0 -> Write 1, Move left, New State 0
State 1, Symbol 1 -> Write 1, Move up, New State 1
State 1, Symbol 2 -> Write 1, Move right, New State 0
State 1, Symbol 3 -> Write 1, Move right, New State 0
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
Current head position is (3, 1) with State 1 on Symbol 1 that is [1].
Question: where will the head be after 8 steps?
Options:
1: (3, 3)
2: (2, 3)
3: (2, 2)
4: (0, 0)
5: (1, 1)
6: (4, 3)
7: (1, 0)
8: (0, 1)
| 5 | 2d_turing_machine | states/00014.json | |
Rules:
State 0, Symbol 0 -> Write 3, Move left, New State 1
State 0, Symbol 1 -> Write 0, Move up, New State 2
State 0, Symbol 2 -> Write 4, Move down, New State 2
State 0, Symbol 3 -> Write 0, Move up, New State 1
State 0, Symbol 4 -> Write 1, Move up, New State 0
State 1, Symbol 0 -> Write 3, Move up, New State 1
State 1, Symbol 1 -> Write 4, Move down, New State 0
State 1, Symbol 2 -> Write 3, Move down, New State 2
State 1, Symbol 3 -> Write 4, Move up, New State 0
State 1, Symbol 4 -> Write 3, Move up, New State 0
State 2, Symbol 0 -> Write 2, Move up, New State 1
State 2, Symbol 1 -> Write 2, Move down, New State 2
State 2, Symbol 2 -> Write 4, Move down, New State 2
State 2, Symbol 3 -> Write 2, Move left, New State 2
State 2, Symbol 4 -> Write 0, Move down, New State 0
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Symbol 4: Color = cyan
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (1, 3) with State 2 on Symbol 4 that is {4}.
Question: what will be the head state and symbol under it after 6 steps?
Options:
1: [0]
2: {3}
3: (2)
4: (3)
5: {2}
6: {1}
7: [4]
8: (4)
| 2 | 2d_turing_machine | states/00180.json | |
Rules:
State 0, Symbol 0 -> Write 1, Move up, New State 1
State 0, Symbol 1 -> Write 3, Move right, New State 0
State 0, Symbol 2 -> Write 2, Move right, New State 1
State 0, Symbol 3 -> Write 1, Move down, New State 1
State 1, Symbol 0 -> Write 0, Move right, New State 0
State 1, Symbol 1 -> Write 3, Move left, New State 0
State 1, Symbol 2 -> Write 0, Move up, New State 0
State 1, Symbol 3 -> Write 1, Move left, New State 0
State 2, Symbol 0 -> Write 0, Move right, New State 2
State 2, Symbol 1 -> Write 0, Move down, New State 1
State 2, Symbol 2 -> Write 2, Move up, New State 1
State 2, Symbol 3 -> Write 2, Move left, New State 2
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (0, 2) with State 1 on Symbol 1 that is [1].
Question: how does the symbol at position (0, 2) change after 5 steps? Writing the same symbol needs to be tracked.
Options:
1: 1->1(at step 1)->3(at step 2)->3(at step 3)
2: 1->3(at step 1)
3: 1->0(at step 2)->0(at step 4)
4: 1->3(at step 1)->3(at step 2)->1(at step 4)
5: 1->2(at step 1)->0(at step 3)->0(at step 4)
6: 1->3(at step 2)
7: 1->3(at step 1)->3(at step 2)->1(at step 3)
8: 1->3(at step 1)->0(at step 3)->2(at step 4)
| 2 | 2d_turing_machine | states/00351.json | |
Rules:
State 0, Symbol 0 -> Write 0, Move right, New State 1
State 0, Symbol 1 -> Write 1, Move up, New State 1
State 0, Symbol 2 -> Write 2, Move down, New State 2
State 0, Symbol 3 -> Write 3, Move left, New State 1
State 1, Symbol 0 -> Write 2, Move left, New State 0
State 1, Symbol 1 -> Write 1, Move down, New State 0
State 1, Symbol 2 -> Write 3, Move up, New State 1
State 1, Symbol 3 -> Write 1, Move down, New State 2
State 2, Symbol 0 -> Write 0, Move up, New State 0
State 2, Symbol 1 -> Write 2, Move up, New State 0
State 2, Symbol 2 -> Write 2, Move up, New State 2
State 2, Symbol 3 -> Write 2, Move up, New State 2
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (1, 1) with State 0 on Symbol 2 that is (2).
Question: after how many steps will the head first enter state 2?
Options:
1: 8
2: 4
3: 7
4: 2
5: 3
6: 1
7: 5
8: 6
| 6 | 2d_turing_machine | states/00441.json | |
Rules:
State 0, Symbol 0 -> Write 0, Move down, New State 0
State 0, Symbol 1 -> Write 2, Move right, New State 0
State 0, Symbol 2 -> Write 2, Move down, New State 1
State 0, Symbol 3 -> Write 0, Move right, New State 1
State 1, Symbol 0 -> Write 1, Move up, New State 2
State 1, Symbol 1 -> Write 1, Move up, New State 1
State 1, Symbol 2 -> Write 2, Move left, New State 0
State 1, Symbol 3 -> Write 2, Move up, New State 2
State 2, Symbol 0 -> Write 2, Move left, New State 2
State 2, Symbol 1 -> Write 2, Move left, New State 1
State 2, Symbol 2 -> Write 3, Move down, New State 1
State 2, Symbol 3 -> Write 3, Move right, New State 1
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (2, 1) with State 1 on Symbol 1 that is [1].
Question: what will be the head state and symbol under it after 7 steps?
Options:
1: (2)
2: {3}
3: [1]
4: {2}
5: [0]
6: [2]
7: (0)
8: (3)
| 6 | 2d_turing_machine | states/00168.json | |
Rules:
State 0, Symbol 0 -> Write 0, Move left, New State 3
State 0, Symbol 1 -> Write 3, Move up, New State 0
State 0, Symbol 2 -> Write 0, Move left, New State 1
State 0, Symbol 3 -> Write 0, Move right, New State 1
State 0, Symbol 4 -> Write 2, Move left, New State 1
State 1, Symbol 0 -> Write 4, Move down, New State 2
State 1, Symbol 1 -> Write 2, Move right, New State 0
State 1, Symbol 2 -> Write 0, Move down, New State 0
State 1, Symbol 3 -> Write 3, Move right, New State 2
State 1, Symbol 4 -> Write 0, Move down, New State 0
State 2, Symbol 0 -> Write 3, Move down, New State 2
State 2, Symbol 1 -> Write 4, Move down, New State 0
State 2, Symbol 2 -> Write 1, Move up, New State 2
State 2, Symbol 3 -> Write 2, Move left, New State 1
State 2, Symbol 4 -> Write 1, Move right, New State 0
State 3, Symbol 0 -> Write 3, Move down, New State 0
State 3, Symbol 1 -> Write 4, Move down, New State 1
State 3, Symbol 2 -> Write 1, Move right, New State 0
State 3, Symbol 3 -> Write 4, Move left, New State 1
State 3, Symbol 4 -> Write 3, Move left, New State 3
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Symbol 4: Color = cyan
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (1, 0) with State 2 on Symbol 4 that is {4}.
Question: how does the symbol at position (1, 1) change after 6 steps? Writing the same symbol needs to be tracked.
Options:
1: 2->2(at step 1)->1(at step 4)->2(at step 5)
2: 2->0(at step 2)->0(at step 4)->0(at step 6)
3: 2->1(at step 1)->0(at step 2)->0(at step 4)->1(at step 5)
4: 2->0(at step 2)->1(at step 3)
5: 2->3(at step 1)->1(at step 3)->4(at step 4)->0(at step 5)
6: 2->1(at step 1)->1(at step 2)->0(at step 3)
7: 2->0(at step 2)->4(at step 4)
8: 2->1(at step 2)->4(at step 4)->2(at step 5)
| 2 | 2d_turing_machine | states/00289.json | |
Rules:
State 0, Symbol 0 -> Write 0, Move left, New State 1
State 0, Symbol 1 -> Write 4, Move up, New State 0
State 0, Symbol 2 -> Write 1, Move down, New State 1
State 0, Symbol 3 -> Write 4, Move left, New State 0
State 0, Symbol 4 -> Write 0, Move down, New State 0
State 1, Symbol 0 -> Write 0, Move right, New State 0
State 1, Symbol 1 -> Write 4, Move left, New State 0
State 1, Symbol 2 -> Write 2, Move up, New State 1
State 1, Symbol 3 -> Write 3, Move up, New State 0
State 1, Symbol 4 -> Write 1, Move down, New State 1
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Symbol 4: Color = cyan
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
Current head position is (1, 3) with State 0 on Symbol 2 that is (2).
Question: after how many steps will the head first enter state 1?
Options:
1: 4
2: 6
3: 5
4: 2
5: 3
6: 8
7: 7
8: 1
| 8 | 2d_turing_machine | states/00393.json | |
Rules:
State 0, Symbol 0 -> Write 2, Move right, New State 1
State 0, Symbol 1 -> Write 1, Move down, New State 2
State 0, Symbol 2 -> Write 2, Move left, New State 0
State 0, Symbol 3 -> Write 2, Move up, New State 0
State 1, Symbol 0 -> Write 1, Move left, New State 0
State 1, Symbol 1 -> Write 3, Move right, New State 3
State 1, Symbol 2 -> Write 1, Move down, New State 3
State 1, Symbol 3 -> Write 0, Move down, New State 2
State 2, Symbol 0 -> Write 1, Move down, New State 1
State 2, Symbol 1 -> Write 1, Move down, New State 3
State 2, Symbol 2 -> Write 0, Move up, New State 1
State 2, Symbol 3 -> Write 2, Move down, New State 2
State 3, Symbol 0 -> Write 0, Move down, New State 3
State 3, Symbol 1 -> Write 0, Move up, New State 1
State 3, Symbol 2 -> Write 0, Move down, New State 0
State 3, Symbol 3 -> Write 1, Move up, New State 1
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (0, 0) with State 1 on Symbol 1 that is [1].
Question: how does the symbol at position (0, 0) change after 3 steps? Writing the same symbol needs to be tracked.
Options:
1: 1->3(at step 1)
2: 1->1(at step 2)
3: 1->3(at step 1)->3(at step 2)
4: 1->2(at step 1)->2(at step 2)
5: 1->3(at step 1)->0(at step 2)
6: 1->0(at step 1)->0(at step 2)
7: 1->2(at step 1)
8: 1->1(at step 1)
| 1 | 2d_turing_machine | states/00354.json | |
Rules:
State 0, Symbol 0 -> Write 0, Move right, New State 1
State 0, Symbol 1 -> Write 2, Move down, New State 0
State 0, Symbol 2 -> Write 1, Move up, New State 0
State 1, Symbol 0 -> Write 2, Move left, New State 2
State 1, Symbol 1 -> Write 2, Move up, New State 1
State 1, Symbol 2 -> Write 2, Move up, New State 1
State 2, Symbol 0 -> Write 0, Move left, New State 1
State 2, Symbol 1 -> Write 1, Move down, New State 0
State 2, Symbol 2 -> Write 2, Move right, New State 1
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (2, 3) with State 1 on Symbol 0 that is [0].
Question: after how many steps will the head first enter state 2?
Options:
1: 2
2: 7
3: 8
4: 5
5: 4
6: 3
7: 6
8: 1
| 8 | 2d_turing_machine | states/00408.json | |
Rules:
State 0, Symbol 0 -> Write 1, Move right, New State 0
State 0, Symbol 1 -> Write 1, Move down, New State 1
State 0, Symbol 2 -> Write 2, Move right, New State 2
State 0, Symbol 3 -> Write 2, Move left, New State 0
State 1, Symbol 0 -> Write 3, Move down, New State 0
State 1, Symbol 1 -> Write 3, Move down, New State 0
State 1, Symbol 2 -> Write 2, Move up, New State 0
State 1, Symbol 3 -> Write 1, Move left, New State 2
State 2, Symbol 0 -> Write 3, Move left, New State 2
State 2, Symbol 1 -> Write 1, Move up, New State 0
State 2, Symbol 2 -> Write 2, Move right, New State 0
State 2, Symbol 3 -> Write 0, Move up, New State 2
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (2, 1) with State 0 on Symbol 3 that is (3).
Question: what will be the head state and symbol under it after 4 steps?
Options:
1: [3]
2: [2]
3: (0)
4: [1]
5: {0}
6: {1}
7: (1)
8: (3)
| 8 | 2d_turing_machine | states/00155.json | |
Rules:
State 0, Symbol 0 -> Write 0, Move left, New State 0
State 0, Symbol 1 -> Write 1, Move down, New State 3
State 0, Symbol 2 -> Write 1, Move left, New State 1
State 0, Symbol 3 -> Write 2, Move up, New State 2
State 0, Symbol 4 -> Write 1, Move up, New State 2
State 1, Symbol 0 -> Write 3, Move left, New State 1
State 1, Symbol 1 -> Write 1, Move up, New State 3
State 1, Symbol 2 -> Write 4, Move down, New State 2
State 1, Symbol 3 -> Write 2, Move down, New State 1
State 1, Symbol 4 -> Write 1, Move left, New State 1
State 2, Symbol 0 -> Write 1, Move down, New State 3
State 2, Symbol 1 -> Write 1, Move down, New State 2
State 2, Symbol 2 -> Write 3, Move up, New State 1
State 2, Symbol 3 -> Write 1, Move up, New State 0
State 2, Symbol 4 -> Write 3, Move down, New State 3
State 3, Symbol 0 -> Write 2, Move up, New State 2
State 3, Symbol 1 -> Write 4, Move left, New State 1
State 3, Symbol 2 -> Write 1, Move right, New State 3
State 3, Symbol 3 -> Write 2, Move down, New State 2
State 3, Symbol 4 -> Write 3, Move up, New State 0
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Symbol 4: Color = cyan
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (1, 1) with State 0 on Symbol 3 that is (3).
Question: after how many steps will the head first enter state 2?
Options:
1: 8
2: 3
3: 7
4: 2
5: 5
6: 1
7: 6
8: 4
| 6 | 2d_turing_machine | states/00420.json | |
Rules:
State 0, Symbol 0 -> Write 0, Move up, New State 1
State 0, Symbol 1 -> Write 2, Move right, New State 1
State 0, Symbol 2 -> Write 0, Move down, New State 0
State 0, Symbol 3 -> Write 0, Move right, New State 3
State 1, Symbol 0 -> Write 3, Move down, New State 3
State 1, Symbol 1 -> Write 1, Move right, New State 1
State 1, Symbol 2 -> Write 0, Move up, New State 0
State 1, Symbol 3 -> Write 3, Move right, New State 1
State 2, Symbol 0 -> Write 1, Move left, New State 0
State 2, Symbol 1 -> Write 3, Move down, New State 2
State 2, Symbol 2 -> Write 2, Move left, New State 3
State 2, Symbol 3 -> Write 0, Move up, New State 3
State 3, Symbol 0 -> Write 1, Move up, New State 2
State 3, Symbol 1 -> Write 2, Move left, New State 1
State 3, Symbol 2 -> Write 3, Move left, New State 1
State 3, Symbol 3 -> Write 0, Move right, New State 2
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (2, 4) with State 3 on Symbol 1 that is <1>.
Question: where will the head be after 8 steps?
Options:
1: (2, 4)
2: (1, 1)
3: (0, 2)
4: (3, 4)
5: (4, 1)
6: (3, 3)
7: (3, 1)
8: (1, 2)
| 6 | 2d_turing_machine | states/00011.json | |
Rules:
State 0, Symbol 0 -> Write 0, Move down, New State 2
State 0, Symbol 1 -> Write 2, Move down, New State 2
State 0, Symbol 2 -> Write 0, Move right, New State 1
State 1, Symbol 0 -> Write 1, Move down, New State 2
State 1, Symbol 1 -> Write 1, Move down, New State 1
State 1, Symbol 2 -> Write 2, Move up, New State 2
State 2, Symbol 0 -> Write 1, Move right, New State 1
State 2, Symbol 1 -> Write 1, Move left, New State 0
State 2, Symbol 2 -> Write 1, Move down, New State 2
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (2, 3) with State 1 on Symbol 1 that is [1].
Question: what will be the head state and symbol under it after 6 steps?
Options:
1: {2}
2: (1)
3: [0]
4: (0)
5: {1}
6: {0}
7: [2]
8: [1]
| 5 | 2d_turing_machine | states/00143.json | |
Rules:
State 0, Symbol 0 -> Write 1, Move up, New State 1
State 0, Symbol 1 -> Write 0, Move right, New State 1
State 0, Symbol 2 -> Write 0, Move up, New State 2
State 0, Symbol 3 -> Write 3, Move left, New State 1
State 1, Symbol 0 -> Write 0, Move right, New State 2
State 1, Symbol 1 -> Write 1, Move up, New State 1
State 1, Symbol 2 -> Write 2, Move right, New State 2
State 1, Symbol 3 -> Write 0, Move down, New State 0
State 2, Symbol 0 -> Write 3, Move down, New State 2
State 2, Symbol 1 -> Write 0, Move left, New State 3
State 2, Symbol 2 -> Write 3, Move down, New State 0
State 2, Symbol 3 -> Write 2, Move down, New State 0
State 3, Symbol 0 -> Write 3, Move up, New State 1
State 3, Symbol 1 -> Write 0, Move up, New State 1
State 3, Symbol 2 -> Write 3, Move up, New State 1
State 3, Symbol 3 -> Write 1, Move up, New State 1
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (3, 1) with State 3 on Symbol 0 that is <0>.
Question: where will the head be after 6 steps?
Options:
1: (4, 3)
2: (2, 0)
3: (3, 2)
4: (0, 1)
5: (2, 2)
6: (2, 1)
7: (1, 1)
8: (3, 3)
| 7 | 2d_turing_machine | states/00016.json | |
Rules:
State 0, Symbol 0 -> Write 4, Move up, New State 0
State 0, Symbol 1 -> Write 1, Move right, New State 2
State 0, Symbol 2 -> Write 0, Move down, New State 1
State 0, Symbol 3 -> Write 4, Move left, New State 3
State 0, Symbol 4 -> Write 0, Move up, New State 0
State 1, Symbol 0 -> Write 2, Move left, New State 0
State 1, Symbol 1 -> Write 4, Move right, New State 2
State 1, Symbol 2 -> Write 2, Move right, New State 0
State 1, Symbol 3 -> Write 4, Move left, New State 1
State 1, Symbol 4 -> Write 0, Move right, New State 1
State 2, Symbol 0 -> Write 4, Move right, New State 0
State 2, Symbol 1 -> Write 0, Move up, New State 1
State 2, Symbol 2 -> Write 3, Move left, New State 0
State 2, Symbol 3 -> Write 2, Move right, New State 1
State 2, Symbol 4 -> Write 2, Move left, New State 1
State 3, Symbol 0 -> Write 4, Move down, New State 1
State 3, Symbol 1 -> Write 2, Move left, New State 3
State 3, Symbol 2 -> Write 2, Move up, New State 0
State 3, Symbol 3 -> Write 3, Move right, New State 0
State 3, Symbol 4 -> Write 2, Move right, New State 2
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Symbol 4: Color = cyan
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (2, 0) with State 1 on Symbol 1 that is [1].
Question: how does the symbol at position (1, 0) change after 7 steps? Writing the same symbol needs to be tracked.
Options:
1: 0->3(at step 3)
2: 0->4(at step 3)->4(at step 4)
3: 0->0(at step 2)->1(at step 3)->0(at step 4)
4: 0->0(at step 2)->4(at step 4)->4(at step 5)->2(at step 6)
5: 0->1(at step 3)->1(at step 6)
6: 0->1(at step 2)->4(at step 3)->0(at step 6)
7: 0->4(at step 1)->4(at step 3)->3(at step 5)->2(at step 6)
8: 0->4(at step 4)->0(at step 6)
| 8 | 2d_turing_machine | states/00343.json | |
Rules:
State 0, Symbol 0 -> Write 0, Move up, New State 1
State 0, Symbol 1 -> Write 0, Move left, New State 1
State 0, Symbol 2 -> Write 0, Move left, New State 1
State 1, Symbol 0 -> Write 0, Move down, New State 0
State 1, Symbol 1 -> Write 2, Move down, New State 0
State 1, Symbol 2 -> Write 1, Move up, New State 1
State 2, Symbol 0 -> Write 2, Move left, New State 2
State 2, Symbol 1 -> Write 2, Move left, New State 1
State 2, Symbol 2 -> Write 1, Move up, New State 0
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (0, 2) with State 1 on Symbol 0 that is [0].
Question: what will be the head state and symbol under it after 4 steps?
Options:
1: (0)
2: {1}
3: [2]
4: {2}
5: (2)
6: [1]
7: [0]
8: (1)
| 7 | 2d_turing_machine | states/00178.json | |
Rules:
State 0, Symbol 0 -> Write 3, Move down, New State 1
State 0, Symbol 1 -> Write 2, Move left, New State 0
State 0, Symbol 2 -> Write 0, Move up, New State 1
State 0, Symbol 3 -> Write 1, Move left, New State 1
State 1, Symbol 0 -> Write 1, Move right, New State 1
State 1, Symbol 1 -> Write 1, Move down, New State 0
State 1, Symbol 2 -> Write 0, Move left, New State 0
State 1, Symbol 3 -> Write 1, Move up, New State 0
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
Current head position is (1, 1) with State 1 on Symbol 0 that is [0].
Question: where will the head be after 4 steps?
Options:
1: (2, 2)
2: (1, 2)
3: (1, 0)
4: (1, 1)
5: (2, 0)
6: (3, 0)
7: (3, 2)
8: (0, 0)
| 1 | 2d_turing_machine | states/00125.json | |
Rules:
State 0, Symbol 0 -> Write 1, Move left, New State 1
State 0, Symbol 1 -> Write 1, Move right, New State 1
State 0, Symbol 2 -> Write 1, Move down, New State 1
State 0, Symbol 3 -> Write 3, Move left, New State 1
State 1, Symbol 0 -> Write 3, Move right, New State 0
State 1, Symbol 1 -> Write 1, Move left, New State 1
State 1, Symbol 2 -> Write 2, Move right, New State 0
State 1, Symbol 3 -> Write 2, Move right, New State 0
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
Current head position is (1, 2) with State 1 on Symbol 1 that is [1].
Question: what will be the head state and symbol under it after 4 steps?
Options:
1: (2)
2: (0)
3: [2]
4: (3)
5: [3]
6: [0]
7: (1)
8: [1]
| 8 | 2d_turing_machine | states/00190.json | |
Rules:
State 0, Symbol 0 -> Write 2, Move right, New State 0
State 0, Symbol 1 -> Write 2, Move right, New State 0
State 0, Symbol 2 -> Write 2, Move up, New State 1
State 1, Symbol 0 -> Write 0, Move left, New State 1
State 1, Symbol 1 -> Write 1, Move up, New State 0
State 1, Symbol 2 -> Write 2, Move down, New State 0
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
Current head position is (2, 2) with State 0 on Symbol 2 that is (2).
Question: what will be the head state and symbol under it after 7 steps?
Options:
1: [0]
2: [2]
3: (1)
4: (0)
5: [1]
6: (2)
| 2 | 2d_turing_machine | states/00160.json | |
Rules:
State 0, Symbol 0 -> Write 2, Move up, New State 0
State 0, Symbol 1 -> Write 1, Move up, New State 1
State 0, Symbol 2 -> Write 2, Move left, New State 3
State 1, Symbol 0 -> Write 0, Move up, New State 2
State 1, Symbol 1 -> Write 0, Move right, New State 0
State 1, Symbol 2 -> Write 1, Move down, New State 1
State 2, Symbol 0 -> Write 0, Move right, New State 0
State 2, Symbol 1 -> Write 1, Move down, New State 0
State 2, Symbol 2 -> Write 1, Move up, New State 2
State 3, Symbol 0 -> Write 0, Move left, New State 2
State 3, Symbol 1 -> Write 1, Move down, New State 1
State 3, Symbol 2 -> Write 2, Move left, New State 0
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (4, 1) with State 3 on Symbol 0 that is <0>.
Question: how does the symbol at position (4, 1) change after 6 steps? Writing the same symbol needs to be tracked.
Options:
1: 0->0(at step 1)->2(at step 3)
2: 0->1(at step 4)
3: 0->0(at step 1)->1(at step 3)->1(at step 4)->0(at step 5)
4: 0->2(at step 1)->0(at step 2)->1(at step 3)->1(at step 4)
5: 0->1(at step 5)
6: 0->2(at step 3)->0(at step 4)->0(at step 5)
7: 0->2(at step 3)->1(at step 4)->1(at step 5)
8: 0->1(at step 1)->2(at step 3)
| 1 | 2d_turing_machine | states/00297.json | |
Rules:
State 0, Symbol 0 -> Write 1, Move down, New State 0
State 0, Symbol 1 -> Write 2, Move right, New State 1
State 0, Symbol 2 -> Write 1, Move left, New State 0
State 0, Symbol 3 -> Write 4, Move up, New State 1
State 0, Symbol 4 -> Write 3, Move down, New State 1
State 1, Symbol 0 -> Write 1, Move left, New State 1
State 1, Symbol 1 -> Write 4, Move up, New State 1
State 1, Symbol 2 -> Write 0, Move up, New State 0
State 1, Symbol 3 -> Write 2, Move down, New State 1
State 1, Symbol 4 -> Write 3, Move left, New State 0
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Symbol 4: Color = cyan
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
Current head position is (1, 2) with State 1 on Symbol 1 that is [1].
Question: how does the symbol at position (2, 2) change after 6 steps? Writing the same symbol needs to be tracked.
Options:
1: 1->2(at step 3)->0(at step 5)
2: 1->2(at step 1)->1(at step 2)
3: 1->1(at step 1)->4(at step 4)->0(at step 5)
4: 1->1(at step 1)->1(at step 2)->1(at step 4)
5: 1->4(at step 6)
6: 1->3(at step 1)->0(at step 2)->1(at step 3)->0(at step 5)
7: 1->1(at step 1)->2(at step 2)->1(at step 3)->2(at step 5)
8: 1->3(at step 2)->2(at step 3)->2(at step 5)
| 5 | 2d_turing_machine | states/00367.json | |
Rules:
State 0, Symbol 0 -> Write 0, Move right, New State 2
State 0, Symbol 1 -> Write 3, Move left, New State 1
State 0, Symbol 2 -> Write 0, Move up, New State 1
State 0, Symbol 3 -> Write 1, Move up, New State 1
State 1, Symbol 0 -> Write 3, Move up, New State 1
State 1, Symbol 1 -> Write 1, Move left, New State 2
State 1, Symbol 2 -> Write 1, Move down, New State 2
State 1, Symbol 3 -> Write 2, Move up, New State 2
State 2, Symbol 0 -> Write 2, Move left, New State 0
State 2, Symbol 1 -> Write 2, Move down, New State 0
State 2, Symbol 2 -> Write 0, Move right, New State 2
State 2, Symbol 3 -> Write 0, Move up, New State 1
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (3, 0) with State 2 on Symbol 3 that is {3}.
Question: after how many steps will the head first enter state 1?
Options:
1: 1
2: 8
3: 5
4: 7
5: 2
6: 4
7: 3
8: 6
| 1 | 2d_turing_machine | states/00396.json | |
Rules:
State 0, Symbol 0 -> Write 1, Move up, New State 1
State 0, Symbol 1 -> Write 1, Move down, New State 1
State 0, Symbol 2 -> Write 2, Move up, New State 1
State 1, Symbol 0 -> Write 1, Move right, New State 0
State 1, Symbol 1 -> Write 2, Move up, New State 1
State 1, Symbol 2 -> Write 1, Move down, New State 0
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
Current head position is (3, 1) with State 0 on Symbol 2 that is (2).
Question: after how many steps will the head first enter state 1?
Options:
1: 5
2: 1
3: 6
4: 2
5: 7
6: 3
7: 4
8: 8
| 2 | 2d_turing_machine | states/00430.json | |
Rules:
State 0, Symbol 0 -> Write 0, Move down, New State 0
State 0, Symbol 1 -> Write 1, Move right, New State 0
State 0, Symbol 2 -> Write 3, Move left, New State 1
State 0, Symbol 3 -> Write 2, Move up, New State 0
State 1, Symbol 0 -> Write 0, Move left, New State 0
State 1, Symbol 1 -> Write 0, Move up, New State 0
State 1, Symbol 2 -> Write 0, Move down, New State 1
State 1, Symbol 3 -> Write 1, Move left, New State 0
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
Current head position is (4, 2) with State 1 on Symbol 0 that is [0].
Question: where will the head be after 5 steps?
Options:
1: (3, 0)
2: (2, 1)
3: (0, 0)
4: (1, 1)
5: (0, 2)
6: (4, 1)
7: (3, 1)
8: (3, 2)
| 1 | 2d_turing_machine | states/00062.json | |
Rules:
State 0, Symbol 0 -> Write 3, Move left, New State 0
State 0, Symbol 1 -> Write 1, Move right, New State 0
State 0, Symbol 2 -> Write 1, Move up, New State 1
State 0, Symbol 3 -> Write 2, Move down, New State 0
State 1, Symbol 0 -> Write 2, Move left, New State 0
State 1, Symbol 1 -> Write 3, Move down, New State 0
State 1, Symbol 2 -> Write 0, Move left, New State 1
State 1, Symbol 3 -> Write 2, Move down, New State 0
State 2, Symbol 0 -> Write 0, Move up, New State 0
State 2, Symbol 1 -> Write 0, Move up, New State 1
State 2, Symbol 2 -> Write 2, Move up, New State 1
State 2, Symbol 3 -> Write 0, Move down, New State 1
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (0, 0) with State 0 on Symbol 1 that is (1).
Question: what will be the head state and symbol under it after 5 steps?
Options:
1: (2)
2: [3]
3: {3}
4: {1}
5: {2}
6: [1]
7: (3)
8: (0)
| 1 | 2d_turing_machine | states/00193.json | |
Rules:
State 0, Symbol 0 -> Write 0, Move down, New State 3
State 0, Symbol 1 -> Write 1, Move left, New State 3
State 0, Symbol 2 -> Write 3, Move up, New State 0
State 0, Symbol 3 -> Write 0, Move down, New State 1
State 1, Symbol 0 -> Write 1, Move up, New State 0
State 1, Symbol 1 -> Write 3, Move up, New State 2
State 1, Symbol 2 -> Write 3, Move up, New State 3
State 1, Symbol 3 -> Write 0, Move right, New State 3
State 2, Symbol 0 -> Write 0, Move up, New State 3
State 2, Symbol 1 -> Write 0, Move right, New State 3
State 2, Symbol 2 -> Write 2, Move up, New State 3
State 2, Symbol 3 -> Write 1, Move right, New State 0
State 3, Symbol 0 -> Write 0, Move left, New State 3
State 3, Symbol 1 -> Write 3, Move down, New State 1
State 3, Symbol 2 -> Write 0, Move down, New State 0
State 3, Symbol 3 -> Write 0, Move down, New State 2
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (2, 2) with State 1 on Symbol 0 that is [0].
Question: where will the head be after 6 steps?
Options:
1: (1, 2)
2: (0, 2)
3: (2, 3)
4: (4, 3)
5: (1, 3)
6: (3, 2)
7: (2, 2)
8: (2, 0)
| 8 | 2d_turing_machine | states/00027.json | |
Rules:
State 0, Symbol 0 -> Write 2, Move left, New State 3
State 0, Symbol 1 -> Write 2, Move down, New State 2
State 0, Symbol 2 -> Write 0, Move down, New State 1
State 1, Symbol 0 -> Write 1, Move right, New State 0
State 1, Symbol 1 -> Write 0, Move up, New State 2
State 1, Symbol 2 -> Write 1, Move left, New State 3
State 2, Symbol 0 -> Write 2, Move right, New State 1
State 2, Symbol 1 -> Write 2, Move up, New State 3
State 2, Symbol 2 -> Write 2, Move left, New State 1
State 3, Symbol 0 -> Write 0, Move right, New State 1
State 3, Symbol 1 -> Write 1, Move right, New State 0
State 3, Symbol 2 -> Write 0, Move right, New State 3
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (1, 1) with State 1 on Symbol 1 that is [1].
Question: after how many steps will the head first enter state 0?
Options:
1: 6
2: 2
3: 5
4: 1
5: 4
6: 7
7: 3
8: 8
| 7 | 2d_turing_machine | states/00486.json | |
Rules:
State 0, Symbol 0 -> Write 2, Move right, New State 1
State 0, Symbol 1 -> Write 3, Move left, New State 2
State 0, Symbol 2 -> Write 0, Move up, New State 0
State 0, Symbol 3 -> Write 2, Move left, New State 2
State 1, Symbol 0 -> Write 1, Move right, New State 1
State 1, Symbol 1 -> Write 1, Move left, New State 0
State 1, Symbol 2 -> Write 3, Move down, New State 0
State 1, Symbol 3 -> Write 2, Move left, New State 1
State 2, Symbol 0 -> Write 1, Move right, New State 1
State 2, Symbol 1 -> Write 3, Move down, New State 2
State 2, Symbol 2 -> Write 1, Move left, New State 0
State 2, Symbol 3 -> Write 3, Move down, New State 2
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (0, 2) with State 1 on Symbol 3 that is [3].
Question: where will the head be after 8 steps?
Options:
1: (3, 1)
2: (0, 2)
3: (0, 1)
4: (3, 2)
5: (2, 1)
6: (1, 2)
7: (1, 1)
8: (1, 0)
| 7 | 2d_turing_machine | states/00010.json | |
Rules:
State 0, Symbol 0 -> Write 3, Move down, New State 0
State 0, Symbol 1 -> Write 4, Move up, New State 1
State 0, Symbol 2 -> Write 0, Move right, New State 0
State 0, Symbol 3 -> Write 0, Move down, New State 0
State 0, Symbol 4 -> Write 2, Move down, New State 1
State 1, Symbol 0 -> Write 2, Move left, New State 1
State 1, Symbol 1 -> Write 4, Move left, New State 1
State 1, Symbol 2 -> Write 0, Move right, New State 1
State 1, Symbol 3 -> Write 1, Move up, New State 0
State 1, Symbol 4 -> Write 2, Move left, New State 0
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Symbol 4: Color = cyan
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
Current head position is (3, 1) with State 1 on Symbol 2 that is [2].
Question: what will be the head state and symbol under it after 7 steps?
Options:
1: (0)
2: [1]
3: (3)
4: [0]
5: [2]
6: (2)
7: (1)
8: [4]
| 7 | 2d_turing_machine | states/00220.json | |
Rules:
State 0, Symbol 0 -> Write 3, Move up, New State 0
State 0, Symbol 1 -> Write 4, Move right, New State 1
State 0, Symbol 2 -> Write 1, Move down, New State 0
State 0, Symbol 3 -> Write 4, Move down, New State 1
State 0, Symbol 4 -> Write 4, Move left, New State 0
State 1, Symbol 0 -> Write 0, Move down, New State 1
State 1, Symbol 1 -> Write 4, Move left, New State 1
State 1, Symbol 2 -> Write 0, Move up, New State 2
State 1, Symbol 3 -> Write 4, Move up, New State 1
State 1, Symbol 4 -> Write 4, Move up, New State 0
State 2, Symbol 0 -> Write 1, Move right, New State 0
State 2, Symbol 1 -> Write 2, Move left, New State 0
State 2, Symbol 2 -> Write 4, Move right, New State 0
State 2, Symbol 3 -> Write 4, Move left, New State 2
State 2, Symbol 4 -> Write 0, Move left, New State 1
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Symbol 4: Color = cyan
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (2, 2) with State 0 on Symbol 4 that is (4).
Question: where will the head be after 4 steps?
Options:
1: (3, 2)
2: (1, 0)
3: (3, 0)
4: (1, 1)
5: (2, 2)
6: (1, 2)
7: (2, 0)
8: (0, 2)
| 5 | 2d_turing_machine | states/00084.json | |
Rules:
State 0, Symbol 0 -> Write 3, Move up, New State 0
State 0, Symbol 1 -> Write 1, Move up, New State 1
State 0, Symbol 2 -> Write 4, Move right, New State 1
State 0, Symbol 3 -> Write 2, Move left, New State 0
State 0, Symbol 4 -> Write 1, Move down, New State 0
State 1, Symbol 0 -> Write 4, Move up, New State 0
State 1, Symbol 1 -> Write 2, Move up, New State 0
State 1, Symbol 2 -> Write 2, Move down, New State 0
State 1, Symbol 3 -> Write 4, Move left, New State 0
State 1, Symbol 4 -> Write 4, Move up, New State 1
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Symbol 4: Color = cyan
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
Current head position is (1, 1) with State 1 on Symbol 2 that is [2].
Question: how does the symbol at position (2, 2) change after 7 steps? Writing the same symbol needs to be tracked.
Options:
1: 3->3(at step 2)
2: 3->0(at step 1)->2(at step 6)
3: 3->2(at step 1)->4(at step 3)->2(at step 5)->3(at step 6)
4: 3->3(at step 5)
5: 3->2(at step 2)->1(at step 3)->0(at step 4)->1(at step 5)
6: 3->2(at step 1)->3(at step 3)->2(at step 5)
7: 3->4(at step 3)
8: 3->1(at step 3)->1(at step 6)
| 7 | 2d_turing_machine | states/00308.json | |
Rules:
State 0, Symbol 0 -> Write 2, Move down, New State 0
State 0, Symbol 1 -> Write 0, Move up, New State 0
State 0, Symbol 2 -> Write 2, Move up, New State 1
State 0, Symbol 3 -> Write 2, Move down, New State 0
State 1, Symbol 0 -> Write 2, Move up, New State 0
State 1, Symbol 1 -> Write 3, Move up, New State 0
State 1, Symbol 2 -> Write 2, Move left, New State 1
State 1, Symbol 3 -> Write 2, Move right, New State 0
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
Current head position is (3, 0) with State 0 on Symbol 2 that is (2).
Question: how does the symbol at position (2, 1) change after 4 steps? Writing the same symbol needs to be tracked.
Options:
1: 2->0(at step 1)->0(at step 2)->2(at step 3)
2: 2->0(at step 1)->1(at step 3)
3: 2->1(at step 1)->3(at step 2)->3(at step 3)
4: 2->2(at step 1)
5: 2->3(at step 1)->1(at step 2)
6: 2->2(at step 3)
7: 2->1(at step 1)->0(at step 2)
8: 2->0(at step 2)->3(at step 3)
| 6 | 2d_turing_machine | states/00359.json | |
Rules:
State 0, Symbol 0 -> Write 2, Move down, New State 1
State 0, Symbol 1 -> Write 1, Move right, New State 1
State 0, Symbol 2 -> Write 2, Move left, New State 1
State 0, Symbol 3 -> Write 0, Move right, New State 1
State 1, Symbol 0 -> Write 3, Move right, New State 0
State 1, Symbol 1 -> Write 3, Move right, New State 1
State 1, Symbol 2 -> Write 3, Move left, New State 0
State 1, Symbol 3 -> Write 0, Move up, New State 0
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Symbol 3: Color = magenta
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
Current head position is (2, 1) with State 0 on Symbol 3 that is (3).
Question: after how many steps will the head first enter state 1?
Options:
1: 3
2: 2
3: 6
4: 7
5: 4
6: 1
7: 8
8: 5
| 6 | 2d_turing_machine | states/00458.json | |
Rules:
State 0, Symbol 0 -> Write 1, Move left, New State 0
State 0, Symbol 1 -> Write 0, Move down, New State 1
State 0, Symbol 2 -> Write 2, Move up, New State 1
State 1, Symbol 0 -> Write 1, Move right, New State 1
State 1, Symbol 1 -> Write 2, Move right, New State 0
State 1, Symbol 2 -> Write 2, Move right, New State 2
State 2, Symbol 0 -> Write 0, Move down, New State 2
State 2, Symbol 1 -> Write 2, Move up, New State 2
State 2, Symbol 2 -> Write 1, Move right, New State 2
Color Legend for Symbols:
Symbol 0: Color = red
Symbol 1: Color = green
Symbol 2: Color = blue
Bracket Legend for States:
State 0: Bracket = ( )
State 1: Bracket = [ ]
State 2: Bracket = { }
State 3: Bracket = < >
Current head position is (1, 1) with State 0 on Symbol 0 that is (0).
Question: after how many steps will the head first enter state 1?
Options:
1: 2
2: 4
3: 7
4: 3
5: 6
6: 5
7: 8
8: 1
| 1 | 2d_turing_machine | states/00426.json |
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