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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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