query_id
stringlengths 36
36
| fsm_id
stringlengths 36
36
| fsm_json
stringlengths 160
8.81k
| difficulty_level
int64 1
5
| transition_matrix
stringlengths 17
1.68k
| query
stringlengths 113
964
| answer
stringclasses 15
values |
---|---|---|---|---|---|---|
6b2f427d-e991-483e-92ee-1deb683fdd26 | 61c7048c-a80b-450f-b3f6-120c7553a087 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6"], "alphabets": "abcdefgh", "accepting_states": ["s4", "s0", "s2", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s0"]}]} | 4 | {"a":{"s0":"s0","s1":"s3","s2":"s6","s3":"s0","s4":"s6","s5":"s1","s6":"s5"},"b":{"s0":"s2","s1":"s6","s2":"s3","s3":"s5","s4":"s3","s5":"s1","s6":"s2"},"c":{"s0":"s6","s1":"s0","s2":"s5","s3":"s4","s4":"s2","s5":"s2","s6":"s4"},"d":{"s0":"s5","s1":"s0","s2":"s1","s3":"s5","s4":"s5","s5":"s6","s6":"s1"},"e":{"s0":"s5","s1":"s1","s2":"s3","s3":"s0","s4":"s6","s5":"s0","s6":"s5"},"f":{"s0":"s5","s1":"s3","s2":"s3","s3":"s2","s4":"s5","s5":"s3","s6":"s4"},"g":{"s0":"s3","s1":"s6","s2":"s0","s3":"s0","s4":"s5","s5":"s3","s6":"s6"},"h":{"s0":"s2","s1":"s0","s2":"s2","s3":"s0","s4":"s0","s5":"s2","s6":"s0"}} | Given the following FSM:
a b c d e f g h
s0 s0 s2 s6 s5 s5 s5 s3 s2
s1 s3 s6 s0 s0 s1 s3 s6 s0
s2 s6 s3 s5 s1 s3 s3 s0 s2
s3 s0 s5 s4 s5 s0 s2 s0 s0
s4 s6 s3 s2 s5 s6 s5 s5 s0
s5 s1 s1 s2 s6 s0 s3 s3 s2
s6 s5 s2 s4 s1 s5 s4 s6 s0
If we are in state s3 and the input is b, what state will we be in next? | s5 |
4c9033db-a81d-4a6b-9c07-43427d6691a1 | e4146450-f624-4811-81d8-6a2082429506 | {"states": ["s0", "s1", "s2"], "alphabets": "ab", "accepting_states": ["s1", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}]} | 2 | {"a":{"s0":"s1","s1":"s1","s2":"s0"},"b":{"s0":"s2","s1":"s2","s2":"s0"}} | Given the following FSM:
a b
s0 s1 s2
s1 s1 s2
s2 s0 s0
If we are in state s2 and the input is b, what state will we be in next? | s0 |
7c252ed3-ba09-42a1-b2c3-13a10daa1cdb | 05f3c732-7c05-45f9-85bc-cc57ed84447d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12", "s13"], "alphabets": "abcdefgh", "accepting_states": ["s13", "s4", "s1", "s9", "s5", "s8", "s0", "s12"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s12"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s13"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s13"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s12", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "h", "toStates": ["s12"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s13", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s13", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s13", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s13", "symbol": "h", "toStates": ["s5"]}]} | 5 | {"a":{"s0":"s11","s1":"s13","s2":"s3","s3":"s2","s4":"s10","s5":"s13","s6":"s6","s7":"s5","s8":"s2","s9":"s6","s10":"s11","s11":"s5","s12":"s9","s13":"s5"},"b":{"s0":"s13","s1":"s3","s2":"s7","s3":"s12","s4":"s2","s5":"s10","s6":"s0","s7":"s10","s8":"s6","s9":"s10","s10":"s13","s11":"s2","s12":"s3","s13":"s7"},"c":{"s0":"s6","s1":"s6","s2":"s12","s3":"s0","s4":"s9","s5":"s12","s6":"s10","s7":"s2","s8":"s2","s9":"s12","s10":"s2","s11":"s5","s12":"s13","s13":"s3"},"d":{"s0":"s4","s1":"s10","s2":"s1","s3":"s12","s4":"s1","s5":"s4","s6":"s8","s7":"s1","s8":"s4","s9":"s1","s10":"s2","s11":"s6","s12":"s7","s13":"s8"},"e":{"s0":"s9","s1":"s5","s2":"s5","s3":"s9","s4":"s12","s5":"s8","s6":"s2","s7":"s0","s8":"s7","s9":"s2","s10":"s5","s11":"s12","s12":"s9","s13":"s4"},"f":{"s0":"s8","s1":"s12","s2":"s7","s3":"s11","s4":"s2","s5":"s13","s6":"s7","s7":"s8","s8":"s5","s9":"s8","s10":"s11","s11":"s9","s12":"s2","s13":"s3"},"g":{"s0":"s10","s1":"s1","s2":"s0","s3":"s10","s4":"s7","s5":"s10","s6":"s7","s7":"s11","s8":"s1","s9":"s11","s10":"s4","s11":"s2","s12":"s5","s13":"s2"},"h":{"s0":"s5","s1":"s8","s2":"s12","s3":"s5","s4":"s9","s5":"s5","s6":"s9","s7":"s10","s8":"s12","s9":"s9","s10":"s2","s11":"s4","s12":"s12","s13":"s5"}} | Given the following FSM:
a b c d e f g h
s0 s11 s13 s6 s4 s9 s8 s10 s5
s1 s13 s3 s6 s10 s5 s12 s1 s8
s2 s3 s7 s12 s1 s5 s7 s0 s12
s3 s2 s12 s0 s12 s9 s11 s10 s5
s4 s10 s2 s9 s1 s12 s2 s7 s9
s5 s13 s10 s12 s4 s8 s13 s10 s5
s6 s6 s0 s10 s8 s2 s7 s7 s9
s7 s5 s10 s2 s1 s0 s8 s11 s10
s8 s2 s6 s2 s4 s7 s5 s1 s12
s9 s6 s10 s12 s1 s2 s8 s11 s9
s10 s11 s13 s2 s2 s5 s11 s4 s2
s11 s5 s2 s5 s6 s12 s9 s2 s4
s12 s9 s3 s13 s7 s9 s2 s5 s12
s13 s5 s7 s3 s8 s4 s3 s2 s5
If we are in state s9 and the input is b, what state will we be in next? | s10 |
58e5d283-4d2a-48ad-ad2f-7542fc312e1a | f167371c-3da5-4257-b21e-cd04a155a6f1 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abcdefghi", "accepting_states": ["s9", "s8", "s7", "s1", "s12", "s11"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s12"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "i", "toStates": ["s12"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "i", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s12", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "i", "toStates": ["s5"]}]} | 5 | {"a":{"s0":"s6","s1":"s1","s2":"s9","s3":"s7","s4":"s5","s5":"s8","s6":"s8","s7":"s10","s8":"s7","s9":"s11","s10":"s4","s11":"s6","s12":"s1"},"b":{"s0":"s8","s1":"s5","s2":"s4","s3":"s11","s4":"s12","s5":"s2","s6":"s6","s7":"s10","s8":"s7","s9":"s5","s10":"s11","s11":"s0","s12":"s2"},"c":{"s0":"s10","s1":"s2","s2":"s7","s3":"s11","s4":"s1","s5":"s10","s6":"s10","s7":"s11","s8":"s10","s9":"s11","s10":"s6","s11":"s6","s12":"s2"},"d":{"s0":"s10","s1":"s5","s2":"s11","s3":"s1","s4":"s6","s5":"s4","s6":"s10","s7":"s7","s8":"s5","s9":"s9","s10":"s0","s11":"s3","s12":"s10"},"e":{"s0":"s12","s1":"s8","s2":"s2","s3":"s7","s4":"s6","s5":"s5","s6":"s3","s7":"s4","s8":"s8","s9":"s7","s10":"s1","s11":"s0","s12":"s2"},"f":{"s0":"s5","s1":"s12","s2":"s11","s3":"s12","s4":"s12","s5":"s1","s6":"s11","s7":"s0","s8":"s7","s9":"s1","s10":"s12","s11":"s12","s12":"s6"},"g":{"s0":"s0","s1":"s3","s2":"s0","s3":"s8","s4":"s4","s5":"s6","s6":"s6","s7":"s6","s8":"s9","s9":"s11","s10":"s3","s11":"s6","s12":"s7"},"h":{"s0":"s8","s1":"s2","s2":"s2","s3":"s4","s4":"s1","s5":"s2","s6":"s3","s7":"s4","s8":"s7","s9":"s0","s10":"s2","s11":"s5","s12":"s1"},"i":{"s0":"s0","s1":"s2","s2":"s4","s3":"s12","s4":"s7","s5":"s11","s6":"s7","s7":"s9","s8":"s12","s9":"s12","s10":"s7","s11":"s8","s12":"s5"}} | Given the following FSM:
a b c d e f g h i
s0 s6 s8 s10 s10 s12 s5 s0 s8 s0
s1 s1 s5 s2 s5 s8 s12 s3 s2 s2
s2 s9 s4 s7 s11 s2 s11 s0 s2 s4
s3 s7 s11 s11 s1 s7 s12 s8 s4 s12
s4 s5 s12 s1 s6 s6 s12 s4 s1 s7
s5 s8 s2 s10 s4 s5 s1 s6 s2 s11
s6 s8 s6 s10 s10 s3 s11 s6 s3 s7
s7 s10 s10 s11 s7 s4 s0 s6 s4 s9
s8 s7 s7 s10 s5 s8 s7 s9 s7 s12
s9 s11 s5 s11 s9 s7 s1 s11 s0 s12
s10 s4 s11 s6 s0 s1 s12 s3 s2 s7
s11 s6 s0 s6 s3 s0 s12 s6 s5 s8
s12 s1 s2 s2 s10 s2 s6 s7 s1 s5
If we are in state s12 and the input is d, what state will we be in next? | s10 |
b17272a5-5cc7-451c-93bd-962b744a0716 | e57dd24e-4659-4be3-8c7a-2e19226fb641 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefghi", "accepting_states": ["s1", "s3", "s5", "s2", "s7", "s0", "s4", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s2"]}]} | 4 | {"a":{"s0":"s2","s1":"s0","s2":"s1","s3":"s4","s4":"s4","s5":"s1","s6":"s2","s7":"s7","s8":"s0"},"b":{"s0":"s1","s1":"s2","s2":"s6","s3":"s6","s4":"s0","s5":"s6","s6":"s5","s7":"s4","s8":"s1"},"c":{"s0":"s4","s1":"s8","s2":"s6","s3":"s6","s4":"s4","s5":"s7","s6":"s2","s7":"s8","s8":"s7"},"d":{"s0":"s6","s1":"s2","s2":"s0","s3":"s1","s4":"s4","s5":"s8","s6":"s2","s7":"s3","s8":"s5"},"e":{"s0":"s1","s1":"s4","s2":"s6","s3":"s1","s4":"s7","s5":"s0","s6":"s3","s7":"s7","s8":"s7"},"f":{"s0":"s8","s1":"s3","s2":"s3","s3":"s0","s4":"s0","s5":"s3","s6":"s5","s7":"s8","s8":"s3"},"g":{"s0":"s7","s1":"s4","s2":"s5","s3":"s7","s4":"s1","s5":"s0","s6":"s2","s7":"s5","s8":"s1"},"h":{"s0":"s4","s1":"s2","s2":"s4","s3":"s5","s4":"s3","s5":"s5","s6":"s5","s7":"s2","s8":"s6"},"i":{"s0":"s6","s1":"s3","s2":"s4","s3":"s0","s4":"s4","s5":"s8","s6":"s7","s7":"s2","s8":"s2"}} | Given the following FSM:
a b c d e f g h i
s0 s2 s1 s4 s6 s1 s8 s7 s4 s6
s1 s0 s2 s8 s2 s4 s3 s4 s2 s3
s2 s1 s6 s6 s0 s6 s3 s5 s4 s4
s3 s4 s6 s6 s1 s1 s0 s7 s5 s0
s4 s4 s0 s4 s4 s7 s0 s1 s3 s4
s5 s1 s6 s7 s8 s0 s3 s0 s5 s8
s6 s2 s5 s2 s2 s3 s5 s2 s5 s7
s7 s7 s4 s8 s3 s7 s8 s5 s2 s2
s8 s0 s1 s7 s5 s7 s3 s1 s6 s2
If we are in state s3 and the input is c, what state will we be in next? | s6 |
944eeb44-298a-457d-a344-6b88e2856f8c | 7e75379b-25ab-4ba1-a0cc-3f2e0ca1385b | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abcdefghi", "accepting_states": ["s4", "s7", "s10", "s3", "s2", "s8", "s1", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s12"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s12"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s12"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s12"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "i", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s12"]}, {"fromState": "s10", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s12"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s12", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "i", "toStates": ["s0"]}]} | 5 | {"a":{"s0":"s0","s1":"s6","s2":"s7","s3":"s8","s4":"s5","s5":"s10","s6":"s11","s7":"s10","s8":"s11","s9":"s0","s10":"s2","s11":"s7","s12":"s11"},"b":{"s0":"s8","s1":"s2","s2":"s6","s3":"s8","s4":"s11","s5":"s7","s6":"s12","s7":"s11","s8":"s10","s9":"s1","s10":"s10","s11":"s10","s12":"s7"},"c":{"s0":"s1","s1":"s2","s2":"s6","s3":"s6","s4":"s2","s5":"s10","s6":"s6","s7":"s5","s8":"s7","s9":"s4","s10":"s9","s11":"s0","s12":"s12"},"d":{"s0":"s2","s1":"s4","s2":"s12","s3":"s0","s4":"s11","s5":"s2","s6":"s1","s7":"s9","s8":"s11","s9":"s12","s10":"s5","s11":"s11","s12":"s2"},"e":{"s0":"s4","s1":"s2","s2":"s6","s3":"s5","s4":"s0","s5":"s8","s6":"s8","s7":"s10","s8":"s11","s9":"s11","s10":"s0","s11":"s9","s12":"s9"},"f":{"s0":"s8","s1":"s12","s2":"s0","s3":"s10","s4":"s7","s5":"s5","s6":"s8","s7":"s3","s8":"s10","s9":"s10","s10":"s6","s11":"s11","s12":"s10"},"g":{"s0":"s1","s1":"s7","s2":"s12","s3":"s1","s4":"s12","s5":"s9","s6":"s12","s7":"s10","s8":"s0","s9":"s4","s10":"s4","s11":"s12","s12":"s3"},"h":{"s0":"s10","s1":"s11","s2":"s6","s3":"s3","s4":"s8","s5":"s12","s6":"s3","s7":"s2","s8":"s3","s9":"s7","s10":"s12","s11":"s6","s12":"s10"},"i":{"s0":"s0","s1":"s1","s2":"s0","s3":"s5","s4":"s9","s5":"s6","s6":"s7","s7":"s12","s8":"s9","s9":"s11","s10":"s8","s11":"s8","s12":"s0"}} | Given the following FSM:
a b c d e f g h i
s0 s0 s8 s1 s2 s4 s8 s1 s10 s0
s1 s6 s2 s2 s4 s2 s12 s7 s11 s1
s2 s7 s6 s6 s12 s6 s0 s12 s6 s0
s3 s8 s8 s6 s0 s5 s10 s1 s3 s5
s4 s5 s11 s2 s11 s0 s7 s12 s8 s9
s5 s10 s7 s10 s2 s8 s5 s9 s12 s6
s6 s11 s12 s6 s1 s8 s8 s12 s3 s7
s7 s10 s11 s5 s9 s10 s3 s10 s2 s12
s8 s11 s10 s7 s11 s11 s10 s0 s3 s9
s9 s0 s1 s4 s12 s11 s10 s4 s7 s11
s10 s2 s10 s9 s5 s0 s6 s4 s12 s8
s11 s7 s10 s0 s11 s9 s11 s12 s6 s8
s12 s11 s7 s12 s2 s9 s10 s3 s10 s0
If we are in state s10 and the input is a, what state will we be in next? | s2 |
4bf1731f-0ea0-4919-9822-bae655766d7f | 79ce184b-4ad6-4c45-953c-590f73d8c321 | {"states": ["s0", "s1"], "alphabets": "abcde", "accepting_states": ["s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}]} | 2 | {"a":{"s0":"s0","s1":"s1"},"b":{"s0":"s1","s1":"s0"},"c":{"s0":"s0","s1":"s0"},"d":{"s0":"s0","s1":"s0"},"e":{"s0":"s1","s1":"s0"}} | Given the following FSM:
a b c d e
s0 s0 s1 s0 s0 s1
s1 s1 s0 s0 s0 s0
If we are in state s1 and the input is b, what state will we be in next? | s0 |
4139804d-0c03-45c7-aba5-2097ff73d67d | 5dfd6f6a-293c-45b5-8836-d5f302c51b46 | {"states": ["s0", "s11"], "alphabets": "a", "accepting_states": ["s11"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s11"]}]} | 3 | {"a":{"s0":"s11","s11":"s11"}} | Given the following FSM:
a
s0 s11
s11 s11
If we are in state s11 and the input is a, what state will we be in next? | s11 |
03976036-981e-4e72-b3f2-ee4332894cb3 | a7e4f358-3a30-4ec5-99ea-10007ba8b987 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s7", "s2", "s8", "s6", "s1", "s3", "s5", "s4", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s8","s1":"s1","s2":"s0","s3":"s0","s4":"s2","s5":"s7","s6":"s6","s7":"s7","s8":"s1"},"b":{"s0":"s7","s1":"s5","s2":"s7","s3":"s7","s4":"s6","s5":"s0","s6":"s3","s7":"s2","s8":"s3"},"c":{"s0":"s6","s1":"s1","s2":"s0","s3":"s2","s4":"s5","s5":"s4","s6":"s6","s7":"s1","s8":"s7"},"d":{"s0":"s7","s1":"s2","s2":"s1","s3":"s4","s4":"s1","s5":"s1","s6":"s3","s7":"s8","s8":"s7"},"e":{"s0":"s3","s1":"s7","s2":"s4","s3":"s1","s4":"s7","s5":"s5","s6":"s0","s7":"s7","s8":"s0"},"f":{"s0":"s8","s1":"s8","s2":"s1","s3":"s8","s4":"s3","s5":"s7","s6":"s8","s7":"s6","s8":"s5"},"g":{"s0":"s3","s1":"s2","s2":"s8","s3":"s4","s4":"s0","s5":"s3","s6":"s4","s7":"s5","s8":"s3"}} | Given the following FSM:
a b c d e f g
s0 s8 s7 s6 s7 s3 s8 s3
s1 s1 s5 s1 s2 s7 s8 s2
s2 s0 s7 s0 s1 s4 s1 s8
s3 s0 s7 s2 s4 s1 s8 s4
s4 s2 s6 s5 s1 s7 s3 s0
s5 s7 s0 s4 s1 s5 s7 s3
s6 s6 s3 s6 s3 s0 s8 s4
s7 s7 s2 s1 s8 s7 s6 s5
s8 s1 s3 s7 s7 s0 s5 s3
If we are in state s5 and the input is g, what state will we be in next? | s3 |
4731bacf-ca8b-48fd-9b23-49e4d5d9e84e | b6591a50-908a-47a5-b7d9-7210f5d713d8 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12", "s13", "s14"], "alphabets": "abcdefghij", "accepting_states": ["s7", "s1", "s10", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "j", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s14"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "j", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "j", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s13"]}, {"fromState": "s3", "symbol": "j", "toStates": ["s14"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "j", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s12"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "j", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s14"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s13"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "j", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s14"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "j", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s14"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s12"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s13"]}, {"fromState": "s8", "symbol": "j", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "j", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s14"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s14"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s13"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s13"]}, {"fromState": "s10", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "j", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s14"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "j", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s14"]}, {"fromState": "s12", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "i", "toStates": ["s7"]}, {"fromState": "s12", "symbol": "j", "toStates": ["s12"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s13", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s13", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s13", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s13", "symbol": "f", "toStates": ["s13"]}, {"fromState": "s13", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s13", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "j", "toStates": ["s12"]}, {"fromState": "s14", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s14", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s14", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s14", "symbol": "d", "toStates": ["s14"]}, {"fromState": "s14", "symbol": "e", "toStates": ["s13"]}, {"fromState": "s14", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s14", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s14", "symbol": "h", "toStates": ["s14"]}, {"fromState": "s14", "symbol": "i", "toStates": ["s11"]}, {"fromState": "s14", "symbol": "j", "toStates": ["s6"]}]} | 5 | {"a":{"s0":"s7","s1":"s6","s2":"s13","s3":"s12","s4":"s3","s5":"s0","s6":"s14","s7":"s12","s8":"s4","s9":"s8","s10":"s14","s11":"s13","s12":"s5","s13":"s3","s14":"s3"},"b":{"s0":"s11","s1":"s13","s2":"s7","s3":"s7","s4":"s3","s5":"s0","s6":"s4","s7":"s2","s8":"s1","s9":"s3","s10":"s11","s11":"s4","s12":"s10","s13":"s6","s14":"s10"},"c":{"s0":"s6","s1":"s9","s2":"s9","s3":"s9","s4":"s4","s5":"s0","s6":"s5","s7":"s12","s8":"s9","s9":"s9","s10":"s6","s11":"s14","s12":"s9","s13":"s7","s14":"s12"},"d":{"s0":"s4","s1":"s14","s2":"s8","s3":"s6","s4":"s1","s5":"s2","s6":"s10","s7":"s6","s8":"s6","s9":"s5","s10":"s2","s11":"s2","s12":"s6","s13":"s10","s14":"s14"},"e":{"s0":"s9","s1":"s12","s2":"s4","s3":"s0","s4":"s11","s5":"s12","s6":"s10","s7":"s10","s8":"s5","s9":"s9","s10":"s14","s11":"s7","s12":"s5","s13":"s12","s14":"s13"},"f":{"s0":"s4","s1":"s1","s2":"s5","s3":"s11","s4":"s4","s5":"s9","s6":"s0","s7":"s2","s8":"s14","s9":"s6","s10":"s2","s11":"s4","s12":"s14","s13":"s13","s14":"s2"},"g":{"s0":"s4","s1":"s0","s2":"s8","s3":"s7","s4":"s5","s5":"s10","s6":"s13","s7":"s14","s8":"s12","s9":"s5","s10":"s13","s11":"s6","s12":"s10","s13":"s5","s14":"s8"},"h":{"s0":"s4","s1":"s11","s2":"s4","s3":"s11","s4":"s7","s5":"s12","s6":"s0","s7":"s6","s8":"s0","s9":"s9","s10":"s13","s11":"s7","s12":"s4","s13":"s3","s14":"s14"},"i":{"s0":"s10","s1":"s1","s2":"s0","s3":"s13","s4":"s9","s5":"s1","s6":"s9","s7":"s7","s8":"s13","s9":"s8","s10":"s3","s11":"s6","s12":"s7","s13":"s3","s14":"s11"},"j":{"s0":"s7","s1":"s7","s2":"s0","s3":"s14","s4":"s11","s5":"s6","s6":"s2","s7":"s8","s8":"s11","s9":"s5","s10":"s5","s11":"s4","s12":"s12","s13":"s12","s14":"s6"}} | Given the following FSM:
a b c d e f g h i j
s0 s7 s11 s6 s4 s9 s4 s4 s4 s10 s7
s1 s6 s13 s9 s14 s12 s1 s0 s11 s1 s7
s2 s13 s7 s9 s8 s4 s5 s8 s4 s0 s0
s3 s12 s7 s9 s6 s0 s11 s7 s11 s13 s14
s4 s3 s3 s4 s1 s11 s4 s5 s7 s9 s11
s5 s0 s0 s0 s2 s12 s9 s10 s12 s1 s6
s6 s14 s4 s5 s10 s10 s0 s13 s0 s9 s2
s7 s12 s2 s12 s6 s10 s2 s14 s6 s7 s8
s8 s4 s1 s9 s6 s5 s14 s12 s0 s13 s11
s9 s8 s3 s9 s5 s9 s6 s5 s9 s8 s5
s10 s14 s11 s6 s2 s14 s2 s13 s13 s3 s5
s11 s13 s4 s14 s2 s7 s4 s6 s7 s6 s4
s12 s5 s10 s9 s6 s5 s14 s10 s4 s7 s12
s13 s3 s6 s7 s10 s12 s13 s5 s3 s3 s12
s14 s3 s10 s12 s14 s13 s2 s8 s14 s11 s6
If we are in state s14 and the input is d, what state will we be in next? | s14 |
7f8c75bc-bfa3-4cbc-a17d-408e46d3872e | bfc32cc5-1acb-4029-9e2c-ab4c130a40a2 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7"], "alphabets": "abcdef", "accepting_states": ["s6", "s7", "s2", "s0", "s5", "s3", "s4", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}]} | 3 | {"a":{"s0":"s3","s1":"s6","s2":"s3","s3":"s6","s4":"s1","s5":"s5","s6":"s1","s7":"s4"},"b":{"s0":"s6","s1":"s6","s2":"s1","s3":"s1","s4":"s0","s5":"s1","s6":"s7","s7":"s7"},"c":{"s0":"s5","s1":"s1","s2":"s6","s3":"s1","s4":"s2","s5":"s6","s6":"s1","s7":"s7"},"d":{"s0":"s3","s1":"s7","s2":"s0","s3":"s2","s4":"s4","s5":"s0","s6":"s2","s7":"s3"},"e":{"s0":"s2","s1":"s6","s2":"s7","s3":"s2","s4":"s7","s5":"s1","s6":"s0","s7":"s3"},"f":{"s0":"s3","s1":"s1","s2":"s4","s3":"s5","s4":"s6","s5":"s1","s6":"s7","s7":"s7"}} | Given the following FSM:
a b c d e f
s0 s3 s6 s5 s3 s2 s3
s1 s6 s6 s1 s7 s6 s1
s2 s3 s1 s6 s0 s7 s4
s3 s6 s1 s1 s2 s2 s5
s4 s1 s0 s2 s4 s7 s6
s5 s5 s1 s6 s0 s1 s1
s6 s1 s7 s1 s2 s0 s7
s7 s4 s7 s7 s3 s3 s7
If we are in state s7 and the input is b, what state will we be in next? | s7 |
6bb54877-3f63-4e11-81ea-3da29f6e4cbc | 11d04f83-4a7a-4ad1-a89a-3c266a19c7fd | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abcdefgh", "accepting_states": ["s2", "s6", "s8", "s12", "s11", "s10", "s7", "s0", "s9", "s3", "s4", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s11"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "g", "toStates": ["s11"]}, {"fromState": "s12", "symbol": "h", "toStates": ["s4"]}]} | 5 | {"a":{"s0":"s11","s1":"s4","s2":"s7","s3":"s7","s4":"s9","s5":"s0","s6":"s3","s7":"s2","s8":"s4","s9":"s12","s10":"s7","s11":"s4","s12":"s8"},"b":{"s0":"s2","s1":"s0","s2":"s1","s3":"s0","s4":"s5","s5":"s0","s6":"s0","s7":"s5","s8":"s9","s9":"s7","s10":"s10","s11":"s5","s12":"s8"},"c":{"s0":"s9","s1":"s3","s2":"s2","s3":"s7","s4":"s3","s5":"s9","s6":"s2","s7":"s1","s8":"s9","s9":"s7","s10":"s12","s11":"s9","s12":"s3"},"d":{"s0":"s6","s1":"s6","s2":"s8","s3":"s7","s4":"s1","s5":"s10","s6":"s0","s7":"s3","s8":"s5","s9":"s1","s10":"s3","s11":"s5","s12":"s11"},"e":{"s0":"s0","s1":"s10","s2":"s9","s3":"s7","s4":"s1","s5":"s12","s6":"s10","s7":"s4","s8":"s4","s9":"s2","s10":"s6","s11":"s6","s12":"s1"},"f":{"s0":"s6","s1":"s8","s2":"s11","s3":"s5","s4":"s7","s5":"s9","s6":"s2","s7":"s11","s8":"s2","s9":"s1","s10":"s7","s11":"s4","s12":"s4"},"g":{"s0":"s6","s1":"s11","s2":"s7","s3":"s1","s4":"s9","s5":"s0","s6":"s8","s7":"s10","s8":"s3","s9":"s4","s10":"s8","s11":"s1","s12":"s11"},"h":{"s0":"s5","s1":"s10","s2":"s3","s3":"s6","s4":"s0","s5":"s9","s6":"s10","s7":"s8","s8":"s5","s9":"s5","s10":"s0","s11":"s11","s12":"s4"}} | Given the following FSM:
a b c d e f g h
s0 s11 s2 s9 s6 s0 s6 s6 s5
s1 s4 s0 s3 s6 s10 s8 s11 s10
s2 s7 s1 s2 s8 s9 s11 s7 s3
s3 s7 s0 s7 s7 s7 s5 s1 s6
s4 s9 s5 s3 s1 s1 s7 s9 s0
s5 s0 s0 s9 s10 s12 s9 s0 s9
s6 s3 s0 s2 s0 s10 s2 s8 s10
s7 s2 s5 s1 s3 s4 s11 s10 s8
s8 s4 s9 s9 s5 s4 s2 s3 s5
s9 s12 s7 s7 s1 s2 s1 s4 s5
s10 s7 s10 s12 s3 s6 s7 s8 s0
s11 s4 s5 s9 s5 s6 s4 s1 s11
s12 s8 s8 s3 s11 s1 s4 s11 s4
If we are in state s12 and the input is d, what state will we be in next? | s11 |
ff2e9fdf-892f-4661-beea-1959dd46644d | c2bb59e3-441a-46a3-b1a3-d799a03e12f9 | {"states": ["s0", "s4", "s8"], "alphabets": "a", "accepting_states": ["s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s4","s4":"s8","s8":"s4"}} | Given the following FSM:
a
s0 s4
s4 s8
s8 s4
If we are in state s0 and the input is a, what state will we be in next? | s4 |
42a56236-c4ea-4e15-b536-365b2b2d3e9a | 4cbbc783-f936-48f8-8ff7-3bb451058619 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcd", "accepting_states": ["s4", "s2", "s3", "s1", "s7", "s0", "s8", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}]} | 3 | {"a":{"s0":"s0","s1":"s0","s2":"s3","s3":"s4","s4":"s1","s5":"s3","s6":"s6","s7":"s8","s8":"s2"},"b":{"s0":"s5","s1":"s1","s2":"s4","s3":"s4","s4":"s2","s5":"s7","s6":"s0","s7":"s5","s8":"s5"},"c":{"s0":"s8","s1":"s0","s2":"s6","s3":"s3","s4":"s7","s5":"s4","s6":"s1","s7":"s2","s8":"s2"},"d":{"s0":"s3","s1":"s0","s2":"s3","s3":"s1","s4":"s3","s5":"s3","s6":"s0","s7":"s5","s8":"s7"}} | Given the following FSM:
a b c d
s0 s0 s5 s8 s3
s1 s0 s1 s0 s0
s2 s3 s4 s6 s3
s3 s4 s4 s3 s1
s4 s1 s2 s7 s3
s5 s3 s7 s4 s3
s6 s6 s0 s1 s0
s7 s8 s5 s2 s5
s8 s2 s5 s2 s7
If we are in state s6 and the input is b, what state will we be in next? | s0 |
5457338c-d236-4914-af21-3cda76d31120 | bc236dbf-7385-45a5-a68f-ca406f8ae6fc | {"states": ["s0", "s1"], "alphabets": "abcde", "accepting_states": ["s0", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}]} | 2 | {"a":{"s0":"s1","s1":"s0"},"b":{"s0":"s1","s1":"s1"},"c":{"s0":"s0","s1":"s0"},"d":{"s0":"s1","s1":"s1"},"e":{"s0":"s1","s1":"s0"}} | Given the following FSM:
a b c d e
s0 s1 s1 s0 s1 s1
s1 s0 s1 s0 s1 s0
If we are in state s1 and the input is b, what state will we be in next? | s1 |
b3d64190-0a92-437c-944b-e92f763ad8e0 | b57d0df7-d0b8-42b1-9de0-30e6bb272d6d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5"], "alphabets": "abcd", "accepting_states": ["s3", "s0", "s2", "s1", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s5","s1":"s0","s2":"s4","s3":"s2","s4":"s3","s5":"s1"},"b":{"s0":"s1","s1":"s4","s2":"s2","s3":"s3","s4":"s1","s5":"s1"},"c":{"s0":"s0","s1":"s2","s2":"s3","s3":"s5","s4":"s3","s5":"s1"},"d":{"s0":"s3","s1":"s2","s2":"s4","s3":"s2","s4":"s1","s5":"s5"}} | Given the following FSM:
a b c d
s0 s5 s1 s0 s3
s1 s0 s4 s2 s2
s2 s4 s2 s3 s4
s3 s2 s3 s5 s2
s4 s3 s1 s3 s1
s5 s1 s1 s1 s5
If we are in state s3 and the input is c, what state will we be in next? | s5 |
7fac506e-a743-4a69-a7d6-5bb015c532e6 | a836e1d4-8245-4955-9991-d4f670ccae66 | {"states": ["s0", "s1", "s2", "s3"], "alphabets": "ab", "accepting_states": ["s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}]} | 2 | {"a":{"s0":"s1","s1":"s0","s2":"s0","s3":"s1"},"b":{"s0":"s3","s1":"s3","s2":"s0","s3":"s2"}} | Given the following FSM:
a b
s0 s1 s3
s1 s0 s3
s2 s0 s0
s3 s1 s2
If we are in state s3 and the input is a, what state will we be in next? | s1 |
2627f649-c3e1-4179-8d9c-0135478da54d | 1784ee0e-57b8-4230-9f36-b32060ca9ee2 | {"states": ["s0", "s2", "s3"], "alphabets": "ab", "accepting_states": ["s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}]} | 2 | {"a":{"s0":"s2","s2":"s3","s3":"s0"},"b":{"s0":"s0","s2":"s2","s3":"s3"}} | Given the following FSM:
a b
s0 s2 s0
s2 s3 s2
s3 s0 s3
If we are in state s0 and the input is b, what state will we be in next? | s0 |
ce464d6d-4e6d-484a-86fd-066003c15f11 | 1eb97513-2949-41a7-9f78-de0c77efedd1 | {"states": ["s0", "s1"], "alphabets": "a", "accepting_states": ["s0", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}]} | 2 | {"a":{"s0":"s1","s1":"s1"}} | Given the following FSM:
a
s0 s1
s1 s1
If we are in state s1 and the input is a, what state will we be in next? | s1 |
d0e88582-b18c-436d-9975-4629c7096e3d | c7d68126-2a33-4f44-86a2-f5e0aff262bc | {"states": ["s0", "s1"], "alphabets": "abcd", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}]} | 2 | {"a":{"s0":"s1","s1":"s0"},"b":{"s0":"s1","s1":"s1"},"c":{"s0":"s0","s1":"s1"},"d":{"s0":"s0","s1":"s1"}} | Given the following FSM:
a b c d
s0 s1 s1 s0 s0
s1 s0 s1 s1 s1
If we are in state s1 and the input is b, what state will we be in next? | s1 |
55864e35-1225-48fb-bdea-88e09e7cac9a | 5c766328-3452-4476-aeec-e5869e7421f9 | {"states": ["s0"], "alphabets": "abcd", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}]} | 2 | {"a":{"s0":"s0"},"b":{"s0":"s0"},"c":{"s0":"s0"},"d":{"s0":"s0"}} | Given the following FSM:
a b c d
s0 s0 s0 s0 s0
If we are in state s0 and the input is a, what state will we be in next? | s0 |
76932e23-9c2d-4034-b95c-7562a8be50e7 | d03f469c-56ca-4487-9c34-4af05021988d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5"], "alphabets": "ab", "accepting_states": ["s4", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}]} | 2 | {"a":{"s0":"s0","s1":"s0","s2":"s1","s3":"s4","s4":"s3","s5":"s3"},"b":{"s0":"s2","s1":"s4","s2":"s5","s3":"s0","s4":"s3","s5":"s5"}} | Given the following FSM:
a b
s0 s0 s2
s1 s0 s4
s2 s1 s5
s3 s4 s0
s4 s3 s3
s5 s3 s5
If we are in state s2 and the input is b, what state will we be in next? | s5 |
50870cac-4695-4eb5-8a73-afac3337a87a | dd989114-16d5-4a2b-985b-5818a28500bb | {"states": ["s0", "s1", "s2", "s3", "s6", "s7"], "alphabets": "ab", "accepting_states": ["s6", "s7", "s2", "s0", "s3", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s1","s1":"s1","s2":"s1","s3":"s2","s6":"s3","s7":"s0"},"b":{"s0":"s7","s1":"s0","s2":"s0","s3":"s1","s6":"s2","s7":"s6"}} | Given the following FSM:
a b
s0 s1 s7
s1 s1 s0
s2 s1 s0
s3 s2 s1
s6 s3 s2
s7 s0 s6
If we are in state s6 and the input is b, what state will we be in next? | s2 |
c2aedcd3-d9e9-4596-b953-26ebb3b3253d | 9ca422a1-0fde-4775-ae07-4c186f39785c | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s9", "s10", "s11"], "alphabets": "ab", "accepting_states": ["s11", "s1", "s0", "s5", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s2","s1":"s6","s2":"s6","s3":"s1","s5":"s6","s6":"s6","s9":"s2","s10":"s1","s11":"s2"},"b":{"s0":"s6","s1":"s10","s2":"s11","s3":"s5","s5":"s9","s6":"s9","s9":"s3","s10":"s2","s11":"s3"}} | Given the following FSM:
a b
s0 s2 s6
s1 s6 s10
s2 s6 s11
s3 s1 s5
s5 s6 s9
s6 s6 s9
s9 s2 s3
s10 s1 s2
s11 s2 s3
If we are in state s1 and the input is b, what state will we be in next? | s10 |
c27ba4f5-642d-4644-ab4e-5d017b79026f | 0de32f92-a8f1-463a-95ae-3ebab510a4bf | {"states": ["s0", "s1", "s2", "s3", "s4"], "alphabets": "abc", "accepting_states": ["s3", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}]} | 2 | {"a":{"s0":"s2","s1":"s4","s2":"s0","s3":"s3","s4":"s3"},"b":{"s0":"s2","s1":"s4","s2":"s3","s3":"s3","s4":"s0"},"c":{"s0":"s0","s1":"s4","s2":"s1","s3":"s3","s4":"s0"}} | Given the following FSM:
a b c
s0 s2 s2 s0
s1 s4 s4 s4
s2 s0 s3 s1
s3 s3 s3 s3
s4 s3 s0 s0
If we are in state s3 and the input is b, what state will we be in next? | s3 |
711b0693-db46-4188-b9cf-db4786b01845 | 836fcf51-f425-45bd-ac4d-8877961f5ead | {"states": ["s0"], "alphabets": "ab", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}]} | 2 | {"a":{"s0":"s0"},"b":{"s0":"s0"}} | Given the following FSM:
a b
s0 s0 s0
If we are in state s0 and the input is b, what state will we be in next? | s0 |
8b0d154f-c1cb-455d-a2ee-6ae3d83a50ea | 1fa0dffb-5178-4e5e-87a2-61cbd1fb0551 | {"states": ["s0", "s1"], "alphabets": "abcdefg", "accepting_states": ["s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}]} | 2 | {"a":{"s0":"s0","s1":"s1"},"b":{"s0":"s1","s1":"s1"},"c":{"s0":"s1","s1":"s1"},"d":{"s0":"s0","s1":"s0"},"e":{"s0":"s0","s1":"s0"},"f":{"s0":"s0","s1":"s1"},"g":{"s0":"s1","s1":"s0"}} | Given the following FSM:
a b c d e f g
s0 s0 s1 s1 s0 s0 s0 s1
s1 s1 s1 s1 s0 s0 s1 s0
If we are in state s0 and the input is e, what state will we be in next? | s0 |
1f3867a9-2704-4c3f-8270-0e569acf37e4 | 24e0d6d1-40a2-4f92-ab6d-b86437c2a62a | {"states": ["s0", "s1", "s2"], "alphabets": "a", "accepting_states": ["s2", "s0", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}]} | 1 | {"a":{"s0":"s2","s1":"s0","s2":"s1"}} | Given the following FSM:
a
s0 s2
s1 s0
s2 s1
If we are in state s2 and the input is a, what state will we be in next? | s1 |
2c4a164a-4e2f-46eb-b50e-e455faaecc1f | ff3595f9-493b-4ab6-9b6d-f59da10b525e | {"states": ["s0"], "alphabets": "a", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}]} | 1 | {"a":{"s0":"s0"}} | Given the following FSM:
a
s0 s0
If we are in state s0 and the input is a, what state will we be in next? | s0 |
7aea712a-0942-4c8e-bd00-19a21a2a501a | 860bfab4-e4ae-4100-9278-40972a72162e | {"states": ["s0", "s1"], "alphabets": "abcdefgh", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s0"]}]} | 3 | {"a":{"s0":"s0","s1":"s1"},"b":{"s0":"s1","s1":"s0"},"c":{"s0":"s1","s1":"s0"},"d":{"s0":"s0","s1":"s1"},"e":{"s0":"s0","s1":"s1"},"f":{"s0":"s0","s1":"s1"},"g":{"s0":"s1","s1":"s0"},"h":{"s0":"s0","s1":"s0"}} | Given the following FSM:
a b c d e f g h
s0 s0 s1 s1 s0 s0 s0 s1 s0
s1 s1 s0 s0 s1 s1 s1 s0 s0
If we are in state s1 and the input is h, what state will we be in next? | s0 |
fbf9978d-d911-4bd5-8f26-c03a9611eb9d | 394d381d-13da-4137-81a0-6bc28fff6cfa | {"states": ["s0"], "alphabets": "abc", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}]} | 1 | {"a":{"s0":"s0"},"b":{"s0":"s0"},"c":{"s0":"s0"}} | Given the following FSM:
a b c
s0 s0 s0 s0
If we are in state s0 and the input is a, what state will we be in next? | s0 |
c6dcca7f-aa13-4979-973e-53f17637ca55 | bb029bab-308e-4ccc-9dda-7e5c03ec5915 | {"states": ["s0"], "alphabets": "a", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}]} | 2 | {"a":{"s0":"s0"}} | Given the following FSM:
a
s0 s0
If we are in state s0 and the input is a, what state will we be in next? | s0 |
79890b41-e63d-47e2-8487-0d95a571c3d1 | 5bee8e63-2ba6-4382-a9b7-7f840385ae24 | {"states": ["s0", "s1"], "alphabets": "abcdefghi", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s1","s1":"s1"},"b":{"s0":"s0","s1":"s1"},"c":{"s0":"s0","s1":"s0"},"d":{"s0":"s1","s1":"s1"},"e":{"s0":"s1","s1":"s0"},"f":{"s0":"s1","s1":"s0"},"g":{"s0":"s1","s1":"s0"},"h":{"s0":"s1","s1":"s0"},"i":{"s0":"s0","s1":"s1"}} | Given the following FSM:
a b c d e f g h i
s0 s1 s0 s0 s1 s1 s1 s1 s1 s0
s1 s1 s1 s0 s1 s0 s0 s0 s0 s1
If we are in state s1 and the input is h, what state will we be in next? | s0 |
2ed1ed46-3e3b-40d3-9888-5bd64e2603fa | 4877328c-4a46-4942-8dfc-1720b1e26f34 | {"states": ["s0", "s4"], "alphabets": "a", "accepting_states": ["s4", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}]} | 3 | {"a":{"s0":"s4","s4":"s0"}} | Given the following FSM:
a
s0 s4
s4 s0
If we are in state s0 and the input is a, what state will we be in next? | s4 |
ae3ea7e8-fbb8-4bc7-bf33-7b131ccffeec | 05b5c719-0f25-4d45-9a3e-d0f16133c1ba | {"states": ["s0", "s1", "s4", "s6"], "alphabets": "a", "accepting_states": ["s1", "s4", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}]} | 3 | {"a":{"s0":"s1","s1":"s4","s4":"s6","s6":"s0"}} | Given the following FSM:
a
s0 s1
s1 s4
s4 s6
s6 s0
If we are in state s6 and the input is a, what state will we be in next? | s0 |
c46c7eec-2a6d-4cc0-9c04-dce3f40ae565 | 1346ad6e-e4b2-426c-8bbf-f7407cf3ca0d | {"states": ["s0", "s3", "s4"], "alphabets": "a", "accepting_states": ["s4", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}]} | 2 | {"a":{"s0":"s3","s3":"s4","s4":"s0"}} | Given the following FSM:
a
s0 s3
s3 s4
s4 s0
If we are in state s0 and the input is a, what state will we be in next? | s3 |
7944a09d-fe03-4c22-b190-7d8952a4f88e | 57da19ad-6bfc-4a15-bee0-2cf71dc0a7ab | {"states": ["s0"], "alphabets": "a", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}]} | 2 | {"a":{"s0":"s0"}} | Given the following FSM:
a
s0 s0
If we are in state s0 and the input is a, what state will we be in next? | s0 |
4620613d-5d13-4a42-8e2f-62bb298f8288 | a67119ea-5738-478f-af41-fb5d469d8e46 | {"states": ["s0", "s1", "s4"], "alphabets": "a", "accepting_states": ["s1", "s0", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}]} | 2 | {"a":{"s0":"s4","s1":"s0","s4":"s1"}} | Given the following FSM:
a
s0 s4
s1 s0
s4 s1
If we are in state s0 and the input is a, what state will we be in next? | s4 |
a9b94ecc-1636-41d8-babf-0beb4d306476 | 6d8bf8d7-f509-4c0e-9adf-c8481d05c42f | {"states": ["s0", "s1"], "alphabets": "ab", "accepting_states": ["s0", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}]} | 2 | {"a":{"s0":"s0","s1":"s0"},"b":{"s0":"s1","s1":"s0"}} | Given the following FSM:
a b
s0 s0 s1
s1 s0 s0
If we are in state s1 and the input is b, what state will we be in next? | s0 |
8691dbea-2636-458c-ab61-5f0492ef4af3 | e5021af6-d4db-4c62-9a40-7022d43712a4 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s7"], "alphabets": "ab", "accepting_states": ["s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}]} | 3 | {"a":{"s0":"s4","s1":"s5","s2":"s5","s3":"s2","s4":"s3","s5":"s7","s7":"s5"},"b":{"s0":"s1","s1":"s3","s2":"s2","s3":"s1","s4":"s3","s5":"s1","s7":"s0"}} | Given the following FSM:
a b
s0 s4 s1
s1 s5 s3
s2 s5 s2
s3 s2 s1
s4 s3 s3
s5 s7 s1
s7 s5 s0
If we are in state s3 and the input is a, what state will we be in next? | s2 |
b523e049-4fda-492c-b018-995e2f963e8f | a7e9349f-cbc3-45d1-8188-c5a045501ee3 | {"states": ["s0"], "alphabets": "abc", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}]} | 2 | {"a":{"s0":"s0"},"b":{"s0":"s0"},"c":{"s0":"s0"}} | Given the following FSM:
a b c
s0 s0 s0 s0
If we are in state s0 and the input is c, what state will we be in next? | s0 |
f8b9825b-b52e-40b9-9ae8-770e81396fc7 | cccfd6cb-89f6-4530-bf31-d0c05a005375 | {"states": ["s0", "s1", "s2", "s5", "s7", "s8", "s9"], "alphabets": "ab", "accepting_states": ["s7", "s9", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s0"]}]} | 3 | {"a":{"s0":"s0","s1":"s1","s2":"s7","s5":"s7","s7":"s1","s8":"s1","s9":"s0"},"b":{"s0":"s5","s1":"s9","s2":"s8","s5":"s8","s7":"s0","s8":"s2","s9":"s0"}} | Given the following FSM:
a b
s0 s0 s5
s1 s1 s9
s2 s7 s8
s5 s7 s8
s7 s1 s0
s8 s1 s2
s9 s0 s0
If we are in state s7 and the input is b, what state will we be in next? | s0 |
c3805afd-be23-428f-97b9-0f672b23daae | c1add482-97ac-4c76-bfc6-fd15dfc46946 | {"states": ["s0", "s1", "s2"], "alphabets": "abcd", "accepting_states": ["s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}]} | 2 | {"a":{"s0":"s2","s1":"s0","s2":"s0"},"b":{"s0":"s1","s1":"s1","s2":"s1"},"c":{"s0":"s0","s1":"s1","s2":"s0"},"d":{"s0":"s0","s1":"s1","s2":"s0"}} | Given the following FSM:
a b c d
s0 s2 s1 s0 s0
s1 s0 s1 s1 s1
s2 s0 s1 s0 s0
If we are in state s2 and the input is d, what state will we be in next? | s0 |
fba7f83f-9868-4b6a-8052-ae4d30eaffe2 | af045ad9-e29d-4cb0-80e4-50f31b8bdd57 | {"states": ["s0", "s1"], "alphabets": "abcdef", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}]} | 2 | {"a":{"s0":"s1","s1":"s0"},"b":{"s0":"s0","s1":"s1"},"c":{"s0":"s1","s1":"s1"},"d":{"s0":"s0","s1":"s1"},"e":{"s0":"s1","s1":"s1"},"f":{"s0":"s0","s1":"s0"}} | Given the following FSM:
a b c d e f
s0 s1 s0 s1 s0 s1 s0
s1 s0 s1 s1 s1 s1 s0
If we are in state s0 and the input is e, what state will we be in next? | s1 |
2bd5893b-77bb-49de-92ba-2897c29d10c3 | 57f52578-3989-4e02-b511-f78664208e8c | {"states": ["s0"], "alphabets": "abcdefghi", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s0"]}]} | 3 | {"a":{"s0":"s0"},"b":{"s0":"s0"},"c":{"s0":"s0"},"d":{"s0":"s0"},"e":{"s0":"s0"},"f":{"s0":"s0"},"g":{"s0":"s0"},"h":{"s0":"s0"},"i":{"s0":"s0"}} | Given the following FSM:
a b c d e f g h i
s0 s0 s0 s0 s0 s0 s0 s0 s0 s0
If we are in state s0 and the input is f, what state will we be in next? | s0 |
157d966d-ca04-4f3e-a3b1-5261d554a29e | c41dcf3e-06bb-443a-ae77-c12db6d57180 | {"states": ["s0", "s2", "s4", "s5", "s6", "s7", "s9"], "alphabets": "ab", "accepting_states": ["s7", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s6","s2":"s4","s4":"s9","s5":"s6","s6":"s2","s7":"s7","s9":"s7"},"b":{"s0":"s7","s2":"s4","s4":"s4","s5":"s6","s6":"s5","s7":"s5","s9":"s4"}} | Given the following FSM:
a b
s0 s6 s7
s2 s4 s4
s4 s9 s4
s5 s6 s6
s6 s2 s5
s7 s7 s5
s9 s7 s4
If we are in state s0 and the input is b, what state will we be in next? | s7 |
3caebcb0-4243-4900-9a7b-3ebf9f8d248a | 65bef536-098c-4194-82dc-177aa548df9b | {"states": ["s0", "s1", "s2"], "alphabets": "abcde", "accepting_states": ["s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}]} | 2 | {"a":{"s0":"s1","s1":"s2","s2":"s0"},"b":{"s0":"s1","s1":"s0","s2":"s0"},"c":{"s0":"s2","s1":"s2","s2":"s0"},"d":{"s0":"s0","s1":"s1","s2":"s0"},"e":{"s0":"s1","s1":"s2","s2":"s0"}} | Given the following FSM:
a b c d e
s0 s1 s1 s2 s0 s1
s1 s2 s0 s2 s1 s2
s2 s0 s0 s0 s0 s0
If we are in state s2 and the input is d, what state will we be in next? | s0 |
378f0370-87a1-445d-8ded-16c3b7cae00b | a4c0ce30-2fd2-47f9-805e-a3aaa9de73f8 | {"states": ["s0", "s1", "s2"], "alphabets": "abc", "accepting_states": ["s1", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}]} | 2 | {"a":{"s0":"s1","s1":"s1","s2":"s0"},"b":{"s0":"s2","s1":"s2","s2":"s1"},"c":{"s0":"s0","s1":"s2","s2":"s1"}} | Given the following FSM:
a b c
s0 s1 s2 s0
s1 s1 s2 s2
s2 s0 s1 s1
If we are in state s1 and the input is c, what state will we be in next? | s2 |
3df5cb69-a4d7-46f4-8bd7-4b77e23dd74f | a9845012-a25d-4f3d-9e9d-a7958737673d | {"states": ["s0", "s1", "s2"], "alphabets": "abcdef", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}]} | 2 | {"a":{"s0":"s2","s1":"s2","s2":"s0"},"b":{"s0":"s0","s1":"s0","s2":"s1"},"c":{"s0":"s2","s1":"s2","s2":"s1"},"d":{"s0":"s1","s1":"s2","s2":"s0"},"e":{"s0":"s1","s1":"s2","s2":"s2"},"f":{"s0":"s2","s1":"s2","s2":"s2"}} | Given the following FSM:
a b c d e f
s0 s2 s0 s2 s1 s1 s2
s1 s2 s0 s2 s2 s2 s2
s2 s0 s1 s1 s0 s2 s2
If we are in state s1 and the input is c, what state will we be in next? | s2 |
392cbfd5-d2f6-4bc0-a024-b0e0f5def550 | 98db9cd4-1cdb-479f-9f75-a1ceb260b6e3 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s9", "s10"], "alphabets": "ab", "accepting_states": ["s2", "s0", "s4", "s3", "s6", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s9","s1":"s7","s2":"s6","s3":"s4","s4":"s2","s5":"s3","s6":"s4","s7":"s6","s9":"s6","s10":"s5"},"b":{"s0":"s6","s1":"s3","s2":"s10","s3":"s3","s4":"s4","s5":"s0","s6":"s0","s7":"s1","s9":"s0","s10":"s1"}} | Given the following FSM:
a b
s0 s9 s6
s1 s7 s3
s2 s6 s10
s3 s4 s3
s4 s2 s4
s5 s3 s0
s6 s4 s0
s7 s6 s1
s9 s6 s0
s10 s5 s1
If we are in state s7 and the input is a, what state will we be in next? | s6 |
27227262-d671-4adb-89e7-c6337f3599c9 | 3779f25c-c8ec-47ce-88b3-288aa860e829 | {"states": ["s0", "s1", "s2", "s3"], "alphabets": "abcdefg", "accepting_states": ["s2", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s3","s2":"s2","s3":"s0"},"b":{"s0":"s2","s1":"s1","s2":"s1","s3":"s0"},"c":{"s0":"s2","s1":"s1","s2":"s3","s3":"s1"},"d":{"s0":"s0","s1":"s2","s2":"s3","s3":"s1"},"e":{"s0":"s2","s1":"s3","s2":"s1","s3":"s0"},"f":{"s0":"s2","s1":"s0","s2":"s2","s3":"s3"},"g":{"s0":"s3","s1":"s2","s2":"s1","s3":"s1"}} | Given the following FSM:
a b c d e f g
s0 s0 s2 s2 s0 s2 s2 s3
s1 s3 s1 s1 s2 s3 s0 s2
s2 s2 s1 s3 s3 s1 s2 s1
s3 s0 s0 s1 s1 s0 s3 s1
If we are in state s3 and the input is e, what state will we be in next? | s0 |
4b8dba35-897d-4258-b077-e19f3821b0f5 | 93f4fccd-be5f-49f0-8987-44128a4de509 | {"states": ["s0", "s1", "s2", "s3", "s4"], "alphabets": "abcdefg", "accepting_states": ["s2", "s0", "s4", "s3", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s0","s1":"s0","s2":"s4","s3":"s2","s4":"s1"},"b":{"s0":"s0","s1":"s1","s2":"s0","s3":"s4","s4":"s1"},"c":{"s0":"s0","s1":"s3","s2":"s1","s3":"s2","s4":"s2"},"d":{"s0":"s2","s1":"s4","s2":"s0","s3":"s2","s4":"s0"},"e":{"s0":"s0","s1":"s4","s2":"s2","s3":"s3","s4":"s2"},"f":{"s0":"s1","s1":"s2","s2":"s2","s3":"s2","s4":"s4"},"g":{"s0":"s0","s1":"s1","s2":"s0","s3":"s0","s4":"s4"}} | Given the following FSM:
a b c d e f g
s0 s0 s0 s0 s2 s0 s1 s0
s1 s0 s1 s3 s4 s4 s2 s1
s2 s4 s0 s1 s0 s2 s2 s0
s3 s2 s4 s2 s2 s3 s2 s0
s4 s1 s1 s2 s0 s2 s4 s4
If we are in state s3 and the input is e, what state will we be in next? | s3 |
9b95d7e9-ee0f-4444-ab0d-be4fc5f0a0e5 | 6415c5d9-90b5-4fca-8998-f4329e091366 | {"states": ["s0", "s1", "s2", "s4", "s5", "s6", "s7", "s8", "s10"], "alphabets": "ab", "accepting_states": ["s7", "s1", "s8", "s6", "s10"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s10"]}]} | 3 | {"a":{"s0":"s4","s1":"s6","s2":"s7","s4":"s5","s5":"s7","s6":"s7","s7":"s5","s8":"s10","s10":"s8"},"b":{"s0":"s1","s1":"s0","s2":"s6","s4":"s2","s5":"s4","s6":"s2","s7":"s10","s8":"s10","s10":"s10"}} | Given the following FSM:
a b
s0 s4 s1
s1 s6 s0
s2 s7 s6
s4 s5 s2
s5 s7 s4
s6 s7 s2
s7 s5 s10
s8 s10 s10
s10 s8 s10
If we are in state s2 and the input is a, what state will we be in next? | s7 |
c45d28cd-9b4f-460a-bcaa-858db49aec37 | 008ee196-3804-4353-a7e7-e8df4d57cb11 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abc", "accepting_states": ["s1", "s3", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}]} | 3 | {"a":{"s0":"s4","s1":"s2","s2":"s9","s3":"s0","s4":"s1","s5":"s1","s6":"s8","s7":"s6","s8":"s7","s9":"s10","s10":"s4"},"b":{"s0":"s2","s1":"s7","s2":"s3","s3":"s6","s4":"s7","s5":"s8","s6":"s9","s7":"s6","s8":"s5","s9":"s9","s10":"s6"},"c":{"s0":"s10","s1":"s7","s2":"s3","s3":"s5","s4":"s6","s5":"s3","s6":"s3","s7":"s1","s8":"s10","s9":"s2","s10":"s9"}} | Given the following FSM:
a b c
s0 s4 s2 s10
s1 s2 s7 s7
s2 s9 s3 s3
s3 s0 s6 s5
s4 s1 s7 s6
s5 s1 s8 s3
s6 s8 s9 s3
s7 s6 s6 s1
s8 s7 s5 s10
s9 s10 s9 s2
s10 s4 s6 s9
If we are in state s1 and the input is c, what state will we be in next? | s7 |
bdb232ee-68b0-4af7-9aa3-e9bfae0d5f87 | 0d366e28-b3b6-480e-9da6-4671ea19f931 | {"states": ["s0", "s1", "s2", "s3", "s4", "s6", "s7", "s8", "s9"], "alphabets": "abcde", "accepting_states": ["s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s3","s1":"s4","s2":"s4","s3":"s1","s4":"s8","s6":"s2","s7":"s8","s8":"s6","s9":"s8"},"b":{"s0":"s2","s1":"s8","s2":"s4","s3":"s6","s4":"s2","s6":"s4","s7":"s7","s8":"s7","s9":"s7"},"c":{"s0":"s9","s1":"s8","s2":"s9","s3":"s4","s4":"s2","s6":"s9","s7":"s8","s8":"s6","s9":"s0"},"d":{"s0":"s7","s1":"s0","s2":"s9","s3":"s3","s4":"s1","s6":"s6","s7":"s3","s8":"s4","s9":"s8"},"e":{"s0":"s9","s1":"s3","s2":"s9","s3":"s0","s4":"s9","s6":"s9","s7":"s7","s8":"s2","s9":"s9"}} | Given the following FSM:
a b c d e
s0 s3 s2 s9 s7 s9
s1 s4 s8 s8 s0 s3
s2 s4 s4 s9 s9 s9
s3 s1 s6 s4 s3 s0
s4 s8 s2 s2 s1 s9
s6 s2 s4 s9 s6 s9
s7 s8 s7 s8 s3 s7
s8 s6 s7 s6 s4 s2
s9 s8 s7 s0 s8 s9
If we are in state s4 and the input is e, what state will we be in next? | s9 |
423941f1-b988-4355-a210-6a679455ddc1 | 261e7337-72eb-4771-8b44-e73f3439c109 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7"], "alphabets": "abcd", "accepting_states": ["s7", "s1", "s4", "s3", "s2", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s4","s1":"s1","s2":"s2","s3":"s4","s4":"s4","s5":"s3","s6":"s3","s7":"s3"},"b":{"s0":"s3","s1":"s4","s2":"s3","s3":"s1","s4":"s4","s5":"s1","s6":"s5","s7":"s5"},"c":{"s0":"s4","s1":"s2","s2":"s6","s3":"s3","s4":"s1","s5":"s0","s6":"s6","s7":"s3"},"d":{"s0":"s4","s1":"s7","s2":"s5","s3":"s2","s4":"s4","s5":"s1","s6":"s7","s7":"s2"}} | Given the following FSM:
a b c d
s0 s4 s3 s4 s4
s1 s1 s4 s2 s7
s2 s2 s3 s6 s5
s3 s4 s1 s3 s2
s4 s4 s4 s1 s4
s5 s3 s1 s0 s1
s6 s3 s5 s6 s7
s7 s3 s5 s3 s2
If we are in state s0 and the input is b, what state will we be in next? | s3 |
a1779570-4beb-4c7d-980a-ec66de9d1316 | 5e94c63a-2045-40a0-92e2-b01a7eb134d0 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5"], "alphabets": "ab", "accepting_states": ["s2", "s5", "s1", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}]} | 2 | {"a":{"s0":"s3","s1":"s1","s2":"s0","s3":"s4","s4":"s5","s5":"s2"},"b":{"s0":"s4","s1":"s4","s2":"s3","s3":"s5","s4":"s1","s5":"s4"}} | Given the following FSM:
a b
s0 s3 s4
s1 s1 s4
s2 s0 s3
s3 s4 s5
s4 s5 s1
s5 s2 s4
If we are in state s4 and the input is a, what state will we be in next? | s5 |
0cc1f888-6204-431c-bcfe-c8cd6efc9fe5 | 1c8b0bcb-aadc-44a8-b707-4f8634a67c72 | {"states": ["s0", "s1"], "alphabets": "abc", "accepting_states": ["s0", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}]} | 2 | {"a":{"s0":"s0","s1":"s0"},"b":{"s0":"s0","s1":"s0"},"c":{"s0":"s1","s1":"s1"}} | Given the following FSM:
a b c
s0 s0 s0 s1
s1 s0 s0 s1
If we are in state s1 and the input is b, what state will we be in next? | s0 |
e053ecab-92df-42bc-bd64-cbf8ff27f3b6 | 80b2353c-edf5-4101-9cf5-6d7ec2493fb0 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7"], "alphabets": "abcdef", "accepting_states": ["s7", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s0"]}]} | 3 | {"a":{"s0":"s7","s1":"s6","s2":"s0","s3":"s1","s4":"s2","s5":"s7","s6":"s1","s7":"s3"},"b":{"s0":"s0","s1":"s7","s2":"s4","s3":"s2","s4":"s5","s5":"s3","s6":"s4","s7":"s5"},"c":{"s0":"s0","s1":"s7","s2":"s3","s3":"s6","s4":"s6","s5":"s0","s6":"s7","s7":"s3"},"d":{"s0":"s3","s1":"s0","s2":"s0","s3":"s4","s4":"s5","s5":"s0","s6":"s3","s7":"s3"},"e":{"s0":"s1","s1":"s4","s2":"s5","s3":"s7","s4":"s5","s5":"s1","s6":"s0","s7":"s1"},"f":{"s0":"s4","s1":"s1","s2":"s5","s3":"s7","s4":"s3","s5":"s2","s6":"s4","s7":"s0"}} | Given the following FSM:
a b c d e f
s0 s7 s0 s0 s3 s1 s4
s1 s6 s7 s7 s0 s4 s1
s2 s0 s4 s3 s0 s5 s5
s3 s1 s2 s6 s4 s7 s7
s4 s2 s5 s6 s5 s5 s3
s5 s7 s3 s0 s0 s1 s2
s6 s1 s4 s7 s3 s0 s4
s7 s3 s5 s3 s3 s1 s0
If we are in state s5 and the input is c, what state will we be in next? | s0 |
5f09fbf8-9ac9-497b-910f-d486b75197be | 76ef385b-7e4d-4956-9ce8-3ad50a17973f | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abcd", "accepting_states": ["s5", "s4", "s12", "s9", "s11"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s3","s1":"s6","s2":"s0","s3":"s5","s4":"s5","s5":"s6","s6":"s2","s8":"s5","s9":"s5","s10":"s4","s11":"s3","s12":"s10"},"b":{"s0":"s6","s1":"s5","s2":"s6","s3":"s0","s4":"s4","s5":"s6","s6":"s11","s8":"s8","s9":"s10","s10":"s4","s11":"s9","s12":"s5"},"c":{"s0":"s11","s1":"s8","s2":"s8","s3":"s3","s4":"s1","s5":"s4","s6":"s10","s8":"s6","s9":"s6","s10":"s2","s11":"s6","s12":"s2"},"d":{"s0":"s9","s1":"s8","s2":"s0","s3":"s10","s4":"s6","s5":"s4","s6":"s4","s8":"s12","s9":"s10","s10":"s6","s11":"s8","s12":"s6"}} | Given the following FSM:
a b c d
s0 s3 s6 s11 s9
s1 s6 s5 s8 s8
s2 s0 s6 s8 s0
s3 s5 s0 s3 s10
s4 s5 s4 s1 s6
s5 s6 s6 s4 s4
s6 s2 s11 s10 s4
s8 s5 s8 s6 s12
s9 s5 s10 s6 s10
s10 s4 s4 s2 s6
s11 s3 s9 s6 s8
s12 s10 s5 s2 s6
If we are in state s3 and the input is d, what state will we be in next? | s10 |
f79327cc-d8bb-4330-bbce-13fee60f5d6f | a5cb4c7f-6b1e-4231-84f5-c62e9ffa1771 | {"states": ["s0", "s1", "s2"], "alphabets": "abcdefgh", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s0"]}]} | 3 | {"a":{"s0":"s2","s1":"s2","s2":"s1"},"b":{"s0":"s1","s1":"s1","s2":"s2"},"c":{"s0":"s1","s1":"s2","s2":"s1"},"d":{"s0":"s0","s1":"s0","s2":"s2"},"e":{"s0":"s2","s1":"s2","s2":"s0"},"f":{"s0":"s2","s1":"s1","s2":"s2"},"g":{"s0":"s2","s1":"s0","s2":"s2"},"h":{"s0":"s0","s1":"s1","s2":"s0"}} | Given the following FSM:
a b c d e f g h
s0 s2 s1 s1 s0 s2 s2 s2 s0
s1 s2 s1 s2 s0 s2 s1 s0 s1
s2 s1 s2 s1 s2 s0 s2 s2 s0
If we are in state s0 and the input is f, what state will we be in next? | s2 |
d0e7a12c-76d5-46cc-b5ab-a33a5dd9bb25 | b984ace1-e57e-46dd-9bb9-6cda62a99c38 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6"], "alphabets": "abcde", "accepting_states": ["s4", "s5", "s1", "s6", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s1","s1":"s5","s2":"s1","s3":"s2","s4":"s2","s5":"s5","s6":"s3"},"b":{"s0":"s3","s1":"s3","s2":"s6","s3":"s0","s4":"s1","s5":"s0","s6":"s5"},"c":{"s0":"s3","s1":"s2","s2":"s6","s3":"s4","s4":"s4","s5":"s6","s6":"s0"},"d":{"s0":"s4","s1":"s2","s2":"s0","s3":"s2","s4":"s0","s5":"s0","s6":"s2"},"e":{"s0":"s3","s1":"s0","s2":"s0","s3":"s5","s4":"s6","s5":"s0","s6":"s5"}} | Given the following FSM:
a b c d e
s0 s1 s3 s3 s4 s3
s1 s5 s3 s2 s2 s0
s2 s1 s6 s6 s0 s0
s3 s2 s0 s4 s2 s5
s4 s2 s1 s4 s0 s6
s5 s5 s0 s6 s0 s0
s6 s3 s5 s0 s2 s5
If we are in state s1 and the input is c, what state will we be in next? | s2 |
83606912-f41b-4256-84dc-1e938b5b3b32 | 019fca10-28e5-4320-84c5-563649786f0f | {"states": ["s0", "s1", "s2", "s3"], "alphabets": "abcdefghij", "accepting_states": ["s2", "s3", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "j", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "j", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "j", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "j", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s0","s1":"s1","s2":"s3","s3":"s3"},"b":{"s0":"s3","s1":"s0","s2":"s2","s3":"s0"},"c":{"s0":"s0","s1":"s2","s2":"s3","s3":"s1"},"d":{"s0":"s3","s1":"s3","s2":"s3","s3":"s3"},"e":{"s0":"s1","s1":"s0","s2":"s3","s3":"s1"},"f":{"s0":"s2","s1":"s1","s2":"s2","s3":"s1"},"g":{"s0":"s2","s1":"s0","s2":"s2","s3":"s2"},"h":{"s0":"s3","s1":"s1","s2":"s2","s3":"s2"},"i":{"s0":"s0","s1":"s0","s2":"s0","s3":"s3"},"j":{"s0":"s0","s1":"s0","s2":"s1","s3":"s2"}} | Given the following FSM:
a b c d e f g h i j
s0 s0 s3 s0 s3 s1 s2 s2 s3 s0 s0
s1 s1 s0 s2 s3 s0 s1 s0 s1 s0 s0
s2 s3 s2 s3 s3 s3 s2 s2 s2 s0 s1
s3 s3 s0 s1 s3 s1 s1 s2 s2 s3 s2
If we are in state s3 and the input is d, what state will we be in next? | s3 |
8dd48b41-0a4d-44b7-89de-da2201440c1a | 7db64b53-2664-42b9-a82a-2dc078aa2487 | {"states": ["s0", "s1", "s2"], "alphabets": "abcdefghij", "accepting_states": ["s2", "s1", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "j", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "j", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "j", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s0","s2":"s2"},"b":{"s0":"s2","s1":"s0","s2":"s2"},"c":{"s0":"s0","s1":"s1","s2":"s1"},"d":{"s0":"s0","s1":"s2","s2":"s2"},"e":{"s0":"s0","s1":"s2","s2":"s0"},"f":{"s0":"s0","s1":"s0","s2":"s0"},"g":{"s0":"s1","s1":"s2","s2":"s2"},"h":{"s0":"s0","s1":"s0","s2":"s1"},"i":{"s0":"s1","s1":"s1","s2":"s1"},"j":{"s0":"s0","s1":"s2","s2":"s1"}} | Given the following FSM:
a b c d e f g h i j
s0 s0 s2 s0 s0 s0 s0 s1 s0 s1 s0
s1 s0 s0 s1 s2 s2 s0 s2 s0 s1 s2
s2 s2 s2 s1 s2 s0 s0 s2 s1 s1 s1
If we are in state s0 and the input is f, what state will we be in next? | s0 |
0a5517a3-71fe-43e8-8c0b-390d173ef2a9 | 37c7e8b1-86d3-4151-8a6f-16876db2ac0d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7"], "alphabets": "abcdef", "accepting_states": ["s5", "s1", "s0", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s3","s1":"s6","s2":"s6","s3":"s7","s4":"s4","s5":"s7","s6":"s7","s7":"s1"},"b":{"s0":"s4","s1":"s1","s2":"s0","s3":"s6","s4":"s3","s5":"s7","s6":"s7","s7":"s6"},"c":{"s0":"s6","s1":"s0","s2":"s3","s3":"s1","s4":"s3","s5":"s4","s6":"s7","s7":"s1"},"d":{"s0":"s4","s1":"s5","s2":"s1","s3":"s2","s4":"s2","s5":"s4","s6":"s6","s7":"s3"},"e":{"s0":"s5","s1":"s6","s2":"s1","s3":"s6","s4":"s0","s5":"s4","s6":"s7","s7":"s4"},"f":{"s0":"s7","s1":"s2","s2":"s2","s3":"s2","s4":"s2","s5":"s3","s6":"s0","s7":"s1"}} | Given the following FSM:
a b c d e f
s0 s3 s4 s6 s4 s5 s7
s1 s6 s1 s0 s5 s6 s2
s2 s6 s0 s3 s1 s1 s2
s3 s7 s6 s1 s2 s6 s2
s4 s4 s3 s3 s2 s0 s2
s5 s7 s7 s4 s4 s4 s3
s6 s7 s7 s7 s6 s7 s0
s7 s1 s6 s1 s3 s4 s1
If we are in state s7 and the input is e, what state will we be in next? | s4 |
37b7c574-67b7-45db-9a48-9ddbbe9c3063 | 3ff69b04-bf2e-423f-9cd0-c91dfc848f4d | {"states": ["s0", "s1", "s2", "s3"], "alphabets": "abcdef", "accepting_states": ["s2", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s0","s1":"s2","s2":"s2","s3":"s3"},"b":{"s0":"s0","s1":"s1","s2":"s0","s3":"s3"},"c":{"s0":"s3","s1":"s2","s2":"s3","s3":"s1"},"d":{"s0":"s1","s1":"s0","s2":"s0","s3":"s0"},"e":{"s0":"s2","s1":"s2","s2":"s1","s3":"s1"},"f":{"s0":"s0","s1":"s1","s2":"s3","s3":"s3"}} | Given the following FSM:
a b c d e f
s0 s0 s0 s3 s1 s2 s0
s1 s2 s1 s2 s0 s2 s1
s2 s2 s0 s3 s0 s1 s3
s3 s3 s3 s1 s0 s1 s3
If we are in state s2 and the input is a, what state will we be in next? | s2 |
eef11c79-219d-4059-8b86-7ca6680d7eb9 | a8df055c-2348-4948-a088-4a2af65ebe5a | {"states": ["s0", "s1", "s2"], "alphabets": "abc", "accepting_states": ["s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}]} | 2 | {"a":{"s0":"s0","s1":"s2","s2":"s2"},"b":{"s0":"s2","s1":"s1","s2":"s0"},"c":{"s0":"s2","s1":"s1","s2":"s1"}} | Given the following FSM:
a b c
s0 s0 s2 s2
s1 s2 s1 s1
s2 s2 s0 s1
If we are in state s2 and the input is c, what state will we be in next? | s1 |
d447aa49-58b4-4852-8cd2-2665da46b0eb | bc7aafb0-5333-4fc0-a9aa-fab0eed7b582 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abcd", "accepting_states": ["s1", "s5", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s7","s1":"s1","s2":"s0","s3":"s11","s4":"s11","s5":"s1","s6":"s7","s7":"s10","s8":"s12","s9":"s0","s10":"s12","s11":"s12","s12":"s11"},"b":{"s0":"s2","s1":"s8","s2":"s10","s3":"s6","s4":"s0","s5":"s4","s6":"s5","s7":"s1","s8":"s9","s9":"s11","s10":"s9","s11":"s1","s12":"s11"},"c":{"s0":"s3","s1":"s9","s2":"s11","s3":"s10","s4":"s1","s5":"s6","s6":"s11","s7":"s2","s8":"s10","s9":"s12","s10":"s5","s11":"s8","s12":"s8"},"d":{"s0":"s4","s1":"s10","s2":"s9","s3":"s2","s4":"s5","s5":"s7","s6":"s1","s7":"s9","s8":"s9","s9":"s0","s10":"s12","s11":"s4","s12":"s8"}} | Given the following FSM:
a b c d
s0 s7 s2 s3 s4
s1 s1 s8 s9 s10
s2 s0 s10 s11 s9
s3 s11 s6 s10 s2
s4 s11 s0 s1 s5
s5 s1 s4 s6 s7
s6 s7 s5 s11 s1
s7 s10 s1 s2 s9
s8 s12 s9 s10 s9
s9 s0 s11 s12 s0
s10 s12 s9 s5 s12
s11 s12 s1 s8 s4
s12 s11 s11 s8 s8
If we are in state s10 and the input is b, what state will we be in next? | s9 |
a3780f14-53c5-4114-a8f4-f9de142e248a | 45d8f516-bcdb-4fc1-a127-308cd9e192af | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcde", "accepting_states": ["s10", "s2", "s6", "s1", "s3", "s8", "s9", "s0", "s5", "s4", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s1","s1":"s3","s2":"s3","s3":"s1","s4":"s10","s5":"s7","s6":"s1","s7":"s8","s8":"s1","s9":"s1","s10":"s6"},"b":{"s0":"s6","s1":"s9","s2":"s6","s3":"s3","s4":"s7","s5":"s4","s6":"s2","s7":"s10","s8":"s1","s9":"s1","s10":"s8"},"c":{"s0":"s10","s1":"s10","s2":"s3","s3":"s10","s4":"s2","s5":"s2","s6":"s2","s7":"s6","s8":"s4","s9":"s9","s10":"s0"},"d":{"s0":"s5","s1":"s6","s2":"s7","s3":"s9","s4":"s5","s5":"s4","s6":"s8","s7":"s5","s8":"s2","s9":"s8","s10":"s0"},"e":{"s0":"s8","s1":"s3","s2":"s6","s3":"s5","s4":"s1","s5":"s5","s6":"s10","s7":"s6","s8":"s5","s9":"s1","s10":"s7"}} | Given the following FSM:
a b c d e
s0 s1 s6 s10 s5 s8
s1 s3 s9 s10 s6 s3
s2 s3 s6 s3 s7 s6
s3 s1 s3 s10 s9 s5
s4 s10 s7 s2 s5 s1
s5 s7 s4 s2 s4 s5
s6 s1 s2 s2 s8 s10
s7 s8 s10 s6 s5 s6
s8 s1 s1 s4 s2 s5
s9 s1 s1 s9 s8 s1
s10 s6 s8 s0 s0 s7
If we are in state s1 and the input is c, what state will we be in next? | s10 |
d71cc85a-3b50-49ea-bf48-3ba3a8b85d10 | a5a306e0-26ab-41b0-b9f0-f7b0aa82111e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcd", "accepting_states": ["s3", "s5", "s8", "s7", "s2", "s1", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s6","s1":"s8","s2":"s6","s3":"s5","s4":"s8","s5":"s3","s6":"s2","s7":"s5","s8":"s7"},"b":{"s0":"s1","s1":"s3","s2":"s4","s3":"s0","s4":"s5","s5":"s3","s6":"s3","s7":"s5","s8":"s7"},"c":{"s0":"s2","s1":"s7","s2":"s2","s3":"s8","s4":"s6","s5":"s5","s6":"s4","s7":"s3","s8":"s2"},"d":{"s0":"s1","s1":"s7","s2":"s7","s3":"s7","s4":"s3","s5":"s0","s6":"s0","s7":"s1","s8":"s2"}} | Given the following FSM:
a b c d
s0 s6 s1 s2 s1
s1 s8 s3 s7 s7
s2 s6 s4 s2 s7
s3 s5 s0 s8 s7
s4 s8 s5 s6 s3
s5 s3 s3 s5 s0
s6 s2 s3 s4 s0
s7 s5 s5 s3 s1
s8 s7 s7 s2 s2
If we are in state s6 and the input is b, what state will we be in next? | s3 |
978461db-4259-4f99-a849-880aae55c684 | 81c7b3ad-6400-4333-b16b-da853fe765ea | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6"], "alphabets": "abcdefg", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}]} | 3 | {"a":{"s0":"s1","s1":"s5","s2":"s4","s3":"s4","s4":"s4","s5":"s4","s6":"s4"},"b":{"s0":"s0","s1":"s2","s2":"s0","s3":"s2","s4":"s2","s5":"s2","s6":"s1"},"c":{"s0":"s4","s1":"s6","s2":"s6","s3":"s3","s4":"s5","s5":"s1","s6":"s4"},"d":{"s0":"s1","s1":"s0","s2":"s4","s3":"s1","s4":"s1","s5":"s2","s6":"s6"},"e":{"s0":"s1","s1":"s3","s2":"s2","s3":"s5","s4":"s0","s5":"s4","s6":"s2"},"f":{"s0":"s1","s1":"s0","s2":"s6","s3":"s5","s4":"s1","s5":"s1","s6":"s0"},"g":{"s0":"s0","s1":"s0","s2":"s3","s3":"s2","s4":"s4","s5":"s5","s6":"s0"}} | Given the following FSM:
a b c d e f g
s0 s1 s0 s4 s1 s1 s1 s0
s1 s5 s2 s6 s0 s3 s0 s0
s2 s4 s0 s6 s4 s2 s6 s3
s3 s4 s2 s3 s1 s5 s5 s2
s4 s4 s2 s5 s1 s0 s1 s4
s5 s4 s2 s1 s2 s4 s1 s5
s6 s4 s1 s4 s6 s2 s0 s0
If we are in state s1 and the input is c, what state will we be in next? | s6 |
cf5ed79a-7aa5-4dca-ac56-f46b71c96995 | 11c9e0cb-6f50-4c4b-a418-eda0e54c0139 | {"states": ["s0", "s1", "s2"], "alphabets": "abcdefghij", "accepting_states": ["s2", "s1", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "j", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "j", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "j", "toStates": ["s0"]}]} | 3 | {"a":{"s0":"s0","s1":"s1","s2":"s1"},"b":{"s0":"s0","s1":"s0","s2":"s0"},"c":{"s0":"s0","s1":"s2","s2":"s2"},"d":{"s0":"s2","s1":"s1","s2":"s2"},"e":{"s0":"s2","s1":"s1","s2":"s1"},"f":{"s0":"s2","s1":"s1","s2":"s1"},"g":{"s0":"s0","s1":"s0","s2":"s2"},"h":{"s0":"s1","s1":"s2","s2":"s2"},"i":{"s0":"s2","s1":"s0","s2":"s1"},"j":{"s0":"s0","s1":"s2","s2":"s0"}} | Given the following FSM:
a b c d e f g h i j
s0 s0 s0 s0 s2 s2 s2 s0 s1 s2 s0
s1 s1 s0 s2 s1 s1 s1 s0 s2 s0 s2
s2 s1 s0 s2 s2 s1 s1 s2 s2 s1 s0
If we are in state s0 and the input is j, what state will we be in next? | s0 |
4efc7265-58f7-49cb-bd8f-ccce05871b86 | 0ce6789a-1999-4b50-8d78-4aea177ab3b3 | {"states": ["s0", "s1", "s5", "s6", "s12", "s13"], "alphabets": "a", "accepting_states": ["s12", "s1", "s13", "s0", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s12","s1":"s13","s5":"s1","s6":"s5","s12":"s6","s13":"s1"}} | Given the following FSM:
a
s0 s12
s1 s13
s5 s1
s6 s5
s12 s6
s13 s1
If we are in state s0 and the input is a, what state will we be in next? | s12 |
bfc28709-7cd4-4cd4-ae6d-2d8822663f6f | 246c14b0-65dc-4197-b110-127e0d0de784 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7"], "alphabets": "abcdef", "accepting_states": ["s2", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s0"]}]} | 3 | {"a":{"s0":"s2","s1":"s7","s2":"s4","s3":"s7","s4":"s2","s5":"s7","s6":"s2","s7":"s0"},"b":{"s0":"s1","s1":"s2","s2":"s3","s3":"s6","s4":"s7","s5":"s6","s6":"s2","s7":"s7"},"c":{"s0":"s7","s1":"s6","s2":"s3","s3":"s1","s4":"s1","s5":"s7","s6":"s4","s7":"s7"},"d":{"s0":"s5","s1":"s0","s2":"s6","s3":"s1","s4":"s6","s5":"s6","s6":"s7","s7":"s5"},"e":{"s0":"s1","s1":"s1","s2":"s6","s3":"s3","s4":"s1","s5":"s5","s6":"s2","s7":"s6"},"f":{"s0":"s1","s1":"s4","s2":"s4","s3":"s5","s4":"s5","s5":"s6","s6":"s6","s7":"s0"}} | Given the following FSM:
a b c d e f
s0 s2 s1 s7 s5 s1 s1
s1 s7 s2 s6 s0 s1 s4
s2 s4 s3 s3 s6 s6 s4
s3 s7 s6 s1 s1 s3 s5
s4 s2 s7 s1 s6 s1 s5
s5 s7 s6 s7 s6 s5 s6
s6 s2 s2 s4 s7 s2 s6
s7 s0 s7 s7 s5 s6 s0
If we are in state s0 and the input is f, what state will we be in next? | s1 |
4202da2f-0913-4461-a925-b9002003429e | 59f30232-85f2-4598-8464-97d9b9dad514 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6"], "alphabets": "abcdefg", "accepting_states": ["s2", "s6", "s0", "s3", "s4", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s3","s1":"s6","s2":"s5","s3":"s3","s4":"s1","s5":"s4","s6":"s0"},"b":{"s0":"s5","s1":"s2","s2":"s0","s3":"s0","s4":"s0","s5":"s2","s6":"s0"},"c":{"s0":"s4","s1":"s2","s2":"s6","s3":"s1","s4":"s4","s5":"s4","s6":"s3"},"d":{"s0":"s6","s1":"s1","s2":"s0","s3":"s3","s4":"s1","s5":"s1","s6":"s3"},"e":{"s0":"s1","s1":"s1","s2":"s1","s3":"s5","s4":"s5","s5":"s2","s6":"s4"},"f":{"s0":"s5","s1":"s4","s2":"s3","s3":"s2","s4":"s6","s5":"s6","s6":"s6"},"g":{"s0":"s5","s1":"s4","s2":"s3","s3":"s2","s4":"s4","s5":"s0","s6":"s4"}} | Given the following FSM:
a b c d e f g
s0 s3 s5 s4 s6 s1 s5 s5
s1 s6 s2 s2 s1 s1 s4 s4
s2 s5 s0 s6 s0 s1 s3 s3
s3 s3 s0 s1 s3 s5 s2 s2
s4 s1 s0 s4 s1 s5 s6 s4
s5 s4 s2 s4 s1 s2 s6 s0
s6 s0 s0 s3 s3 s4 s6 s4
If we are in state s2 and the input is d, what state will we be in next? | s0 |
5860f6b0-cc6a-4c8b-9c2e-b943dcd476c5 | 30bd3207-9a47-4c1a-9f59-01a8bc2b846f | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7"], "alphabets": "abcde", "accepting_states": ["s3", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}]} | 3 | {"a":{"s0":"s4","s1":"s3","s2":"s2","s3":"s1","s4":"s3","s5":"s1","s6":"s6","s7":"s5"},"b":{"s0":"s6","s1":"s0","s2":"s5","s3":"s0","s4":"s3","s5":"s3","s6":"s3","s7":"s7"},"c":{"s0":"s3","s1":"s2","s2":"s4","s3":"s5","s4":"s7","s5":"s3","s6":"s0","s7":"s2"},"d":{"s0":"s0","s1":"s1","s2":"s7","s3":"s5","s4":"s5","s5":"s3","s6":"s2","s7":"s1"},"e":{"s0":"s6","s1":"s6","s2":"s3","s3":"s7","s4":"s7","s5":"s2","s6":"s6","s7":"s7"}} | Given the following FSM:
a b c d e
s0 s4 s6 s3 s0 s6
s1 s3 s0 s2 s1 s6
s2 s2 s5 s4 s7 s3
s3 s1 s0 s5 s5 s7
s4 s3 s3 s7 s5 s7
s5 s1 s3 s3 s3 s2
s6 s6 s3 s0 s2 s6
s7 s5 s7 s2 s1 s7
If we are in state s4 and the input is e, what state will we be in next? | s7 |
abebb2c2-5c8c-4041-9633-e27f41d8f3c5 | 6f2daaf4-2585-4690-841c-e053ae8ba537 | {"states": ["s0", "s1"], "alphabets": "abcdefgh", "accepting_states": ["s0", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s0"},"b":{"s0":"s1","s1":"s1"},"c":{"s0":"s0","s1":"s1"},"d":{"s0":"s1","s1":"s1"},"e":{"s0":"s0","s1":"s1"},"f":{"s0":"s0","s1":"s1"},"g":{"s0":"s1","s1":"s1"},"h":{"s0":"s1","s1":"s1"}} | Given the following FSM:
a b c d e f g h
s0 s0 s1 s0 s1 s0 s0 s1 s1
s1 s0 s1 s1 s1 s1 s1 s1 s1
If we are in state s0 and the input is c, what state will we be in next? | s0 |
dd402c70-7dfb-4fb3-a691-fa06a9bde0fc | 0514d524-bdff-46ba-bedb-27410387a893 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11"], "alphabets": "abcd", "accepting_states": ["s5", "s1", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s7","s1":"s8","s2":"s4","s3":"s0","s4":"s4","s5":"s8","s6":"s1","s7":"s0","s8":"s10","s9":"s11","s10":"s6","s11":"s4"},"b":{"s0":"s11","s1":"s9","s2":"s6","s3":"s3","s4":"s0","s5":"s0","s6":"s1","s7":"s6","s8":"s7","s9":"s11","s10":"s6","s11":"s5"},"c":{"s0":"s7","s1":"s0","s2":"s3","s3":"s3","s4":"s8","s5":"s1","s6":"s1","s7":"s4","s8":"s7","s9":"s0","s10":"s5","s11":"s0"},"d":{"s0":"s2","s1":"s5","s2":"s8","s3":"s11","s4":"s4","s5":"s1","s6":"s8","s7":"s11","s8":"s5","s9":"s3","s10":"s1","s11":"s7"}} | Given the following FSM:
a b c d
s0 s7 s11 s7 s2
s1 s8 s9 s0 s5
s2 s4 s6 s3 s8
s3 s0 s3 s3 s11
s4 s4 s0 s8 s4
s5 s8 s0 s1 s1
s6 s1 s1 s1 s8
s7 s0 s6 s4 s11
s8 s10 s7 s7 s5
s9 s11 s11 s0 s3
s10 s6 s6 s5 s1
s11 s4 s5 s0 s7
If we are in state s10 and the input is c, what state will we be in next? | s5 |
1f9e9372-5dd5-497b-b0ef-0d3e1cf4b276 | 0501dfa8-a3f9-4bf3-80e5-96bd5018dd21 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11"], "alphabets": "abcd", "accepting_states": ["s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s9","s1":"s4","s2":"s6","s3":"s0","s4":"s8","s5":"s11","s6":"s11","s7":"s1","s8":"s7","s9":"s11","s10":"s5","s11":"s5"},"b":{"s0":"s0","s1":"s5","s2":"s4","s3":"s1","s4":"s3","s5":"s6","s6":"s10","s7":"s1","s8":"s2","s9":"s5","s10":"s6","s11":"s11"},"c":{"s0":"s2","s1":"s2","s2":"s4","s3":"s11","s4":"s6","s5":"s11","s6":"s2","s7":"s10","s8":"s10","s9":"s11","s10":"s11","s11":"s9"},"d":{"s0":"s3","s1":"s0","s2":"s2","s3":"s11","s4":"s0","s5":"s0","s6":"s3","s7":"s5","s8":"s9","s9":"s6","s10":"s6","s11":"s3"}} | Given the following FSM:
a b c d
s0 s9 s0 s2 s3
s1 s4 s5 s2 s0
s2 s6 s4 s4 s2
s3 s0 s1 s11 s11
s4 s8 s3 s6 s0
s5 s11 s6 s11 s0
s6 s11 s10 s2 s3
s7 s1 s1 s10 s5
s8 s7 s2 s10 s9
s9 s11 s5 s11 s6
s10 s5 s6 s11 s6
s11 s5 s11 s9 s3
If we are in state s10 and the input is c, what state will we be in next? | s11 |
b35493d2-b37c-4fc7-8db0-89414713e5e3 | fb038f8f-9c9c-4eaa-9031-5b4e6e667d75 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6"], "alphabets": "abcdefg", "accepting_states": ["s2", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s0","s1":"s5","s2":"s5","s3":"s6","s4":"s5","s5":"s0","s6":"s0"},"b":{"s0":"s0","s1":"s6","s2":"s4","s3":"s6","s4":"s6","s5":"s6","s6":"s3"},"c":{"s0":"s4","s1":"s2","s2":"s2","s3":"s6","s4":"s5","s5":"s5","s6":"s0"},"d":{"s0":"s5","s1":"s1","s2":"s1","s3":"s5","s4":"s0","s5":"s3","s6":"s2"},"e":{"s0":"s1","s1":"s2","s2":"s3","s3":"s4","s4":"s0","s5":"s6","s6":"s6"},"f":{"s0":"s4","s1":"s1","s2":"s1","s3":"s2","s4":"s0","s5":"s3","s6":"s6"},"g":{"s0":"s3","s1":"s4","s2":"s0","s3":"s0","s4":"s0","s5":"s1","s6":"s2"}} | Given the following FSM:
a b c d e f g
s0 s0 s0 s4 s5 s1 s4 s3
s1 s5 s6 s2 s1 s2 s1 s4
s2 s5 s4 s2 s1 s3 s1 s0
s3 s6 s6 s6 s5 s4 s2 s0
s4 s5 s6 s5 s0 s0 s0 s0
s5 s0 s6 s5 s3 s6 s3 s1
s6 s0 s3 s0 s2 s6 s6 s2
If we are in state s2 and the input is d, what state will we be in next? | s1 |
7e118b93-9521-4af3-b10b-d1629508857c | 00b61546-25f9-438f-9ac1-17d19a705ef6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s6", "s7"], "alphabets": "abcd", "accepting_states": ["s1", "s7", "s6", "s4", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s3","s1":"s2","s2":"s2","s3":"s6","s4":"s7","s6":"s4","s7":"s0"},"b":{"s0":"s2","s1":"s7","s2":"s7","s3":"s2","s4":"s1","s6":"s2","s7":"s1"},"c":{"s0":"s6","s1":"s1","s2":"s2","s3":"s7","s4":"s1","s6":"s7","s7":"s3"},"d":{"s0":"s1","s1":"s7","s2":"s4","s3":"s3","s4":"s0","s6":"s3","s7":"s1"}} | Given the following FSM:
a b c d
s0 s3 s2 s6 s1
s1 s2 s7 s1 s7
s2 s2 s7 s2 s4
s3 s6 s2 s7 s3
s4 s7 s1 s1 s0
s6 s4 s2 s7 s3
s7 s0 s1 s3 s1
If we are in state s1 and the input is b, what state will we be in next? | s7 |
53cc4a98-27c6-4fb1-b47e-a04266ec61a2 | 8c9f01d6-6c80-4ce7-9a0c-87c6558db5b9 | {"states": ["s0", "s1", "s2"], "alphabets": "abcde", "accepting_states": ["s0", "s1", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}]} | 2 | {"a":{"s0":"s0","s1":"s2","s2":"s2"},"b":{"s0":"s0","s1":"s1","s2":"s1"},"c":{"s0":"s1","s1":"s2","s2":"s0"},"d":{"s0":"s2","s1":"s2","s2":"s0"},"e":{"s0":"s1","s1":"s2","s2":"s1"}} | Given the following FSM:
a b c d e
s0 s0 s0 s1 s2 s1
s1 s2 s1 s2 s2 s2
s2 s2 s1 s0 s0 s1
If we are in state s2 and the input is c, what state will we be in next? | s0 |
958cf609-ad46-4df3-922c-1dec3493ea58 | 7542c275-cdc8-45b9-8ecc-89d84702b1fc | {"states": ["s0", "s1", "s2"], "alphabets": "abcdef", "accepting_states": ["s0", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}]} | 2 | {"a":{"s0":"s2","s1":"s1","s2":"s2"},"b":{"s0":"s0","s1":"s0","s2":"s0"},"c":{"s0":"s2","s1":"s0","s2":"s1"},"d":{"s0":"s2","s1":"s2","s2":"s2"},"e":{"s0":"s0","s1":"s2","s2":"s0"},"f":{"s0":"s1","s1":"s1","s2":"s0"}} | Given the following FSM:
a b c d e f
s0 s2 s0 s2 s2 s0 s1
s1 s1 s0 s0 s2 s2 s1
s2 s2 s0 s1 s2 s0 s0
If we are in state s2 and the input is c, what state will we be in next? | s1 |
b8aee709-67f7-4dc5-a8da-cfca7011d77b | a9879a16-2fc6-438a-8006-122ce3aa875b | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12", "s13"], "alphabets": "abcdef", "accepting_states": ["s12", "s13", "s6", "s4", "s3", "s7", "s11", "s9", "s1", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s13"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s13"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s13"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s13"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s13"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s13"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s13", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s13", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s13", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s13", "symbol": "f", "toStates": ["s0"]}]} | 5 | {"a":{"s0":"s1","s1":"s9","s2":"s0","s3":"s6","s4":"s4","s5":"s13","s6":"s6","s7":"s3","s8":"s6","s9":"s13","s10":"s4","s11":"s1","s12":"s1","s13":"s8"},"b":{"s0":"s0","s1":"s12","s2":"s6","s3":"s0","s4":"s1","s5":"s8","s6":"s2","s7":"s2","s8":"s7","s9":"s5","s10":"s5","s11":"s7","s12":"s7","s13":"s1"},"c":{"s0":"s4","s1":"s7","s2":"s5","s3":"s5","s4":"s7","s5":"s8","s6":"s11","s7":"s9","s8":"s7","s9":"s2","s10":"s13","s11":"s11","s12":"s10","s13":"s1"},"d":{"s0":"s12","s1":"s13","s2":"s5","s3":"s1","s4":"s2","s5":"s12","s6":"s4","s7":"s1","s8":"s13","s9":"s9","s10":"s1","s11":"s7","s12":"s6","s13":"s6"},"e":{"s0":"s9","s1":"s11","s2":"s12","s3":"s7","s4":"s5","s5":"s2","s6":"s13","s7":"s4","s8":"s13","s9":"s13","s10":"s7","s11":"s5","s12":"s6","s13":"s2"},"f":{"s0":"s6","s1":"s1","s2":"s13","s3":"s12","s4":"s5","s5":"s0","s6":"s6","s7":"s8","s8":"s6","s9":"s0","s10":"s13","s11":"s4","s12":"s9","s13":"s0"}} | Given the following FSM:
a b c d e f
s0 s1 s0 s4 s12 s9 s6
s1 s9 s12 s7 s13 s11 s1
s2 s0 s6 s5 s5 s12 s13
s3 s6 s0 s5 s1 s7 s12
s4 s4 s1 s7 s2 s5 s5
s5 s13 s8 s8 s12 s2 s0
s6 s6 s2 s11 s4 s13 s6
s7 s3 s2 s9 s1 s4 s8
s8 s6 s7 s7 s13 s13 s6
s9 s13 s5 s2 s9 s13 s0
s10 s4 s5 s13 s1 s7 s13
s11 s1 s7 s11 s7 s5 s4
s12 s1 s7 s10 s6 s6 s9
s13 s8 s1 s1 s6 s2 s0
If we are in state s1 and the input is b, what state will we be in next? | s12 |
aada9cbe-7448-4733-94d1-1a0480f0a420 | be8e1854-a9b4-43fe-9aed-f11ed4e8902c | {"states": ["s0", "s1", "s2", "s4"], "alphabets": "abc", "accepting_states": ["s0", "s2", "s4", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}]} | 2 | {"a":{"s0":"s0","s1":"s1","s2":"s2","s4":"s2"},"b":{"s0":"s4","s1":"s4","s2":"s0","s4":"s1"},"c":{"s0":"s1","s1":"s4","s2":"s4","s4":"s4"}} | Given the following FSM:
a b c
s0 s0 s4 s1
s1 s1 s4 s4
s2 s2 s0 s4
s4 s2 s1 s4
If we are in state s0 and the input is c, what state will we be in next? | s1 |
28b97ae7-dd93-4b6a-bde6-783840d1c521 | c613f74e-114b-4b6a-9ae3-dfee59a413da | {"states": ["s0", "s1", "s2", "s3", "s4"], "alphabets": "abcdefg", "accepting_states": ["s2", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s1","s1":"s0","s2":"s4","s3":"s3","s4":"s1"},"b":{"s0":"s2","s1":"s2","s2":"s0","s3":"s4","s4":"s0"},"c":{"s0":"s0","s1":"s0","s2":"s2","s3":"s4","s4":"s2"},"d":{"s0":"s2","s1":"s3","s2":"s1","s3":"s1","s4":"s4"},"e":{"s0":"s4","s1":"s0","s2":"s4","s3":"s0","s4":"s1"},"f":{"s0":"s2","s1":"s4","s2":"s1","s3":"s1","s4":"s2"},"g":{"s0":"s4","s1":"s3","s2":"s2","s3":"s2","s4":"s1"}} | Given the following FSM:
a b c d e f g
s0 s1 s2 s0 s2 s4 s2 s4
s1 s0 s2 s0 s3 s0 s4 s3
s2 s4 s0 s2 s1 s4 s1 s2
s3 s3 s4 s4 s1 s0 s1 s2
s4 s1 s0 s2 s4 s1 s2 s1
If we are in state s3 and the input is e, what state will we be in next? | s0 |
88cf90d9-7fde-45b4-9ca9-8fa8c27adef4 | 12ec8f61-8d16-4790-acd7-164d1d70d4d6 | {"states": ["s0", "s1", "s2", "s3"], "alphabets": "abcdefghi", "accepting_states": ["s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s3","s1":"s0","s2":"s1","s3":"s2"},"b":{"s0":"s2","s1":"s0","s2":"s0","s3":"s3"},"c":{"s0":"s2","s1":"s2","s2":"s1","s3":"s3"},"d":{"s0":"s0","s1":"s1","s2":"s0","s3":"s2"},"e":{"s0":"s2","s1":"s3","s2":"s3","s3":"s2"},"f":{"s0":"s1","s1":"s0","s2":"s3","s3":"s0"},"g":{"s0":"s1","s1":"s0","s2":"s1","s3":"s0"},"h":{"s0":"s3","s1":"s2","s2":"s2","s3":"s1"},"i":{"s0":"s3","s1":"s2","s2":"s0","s3":"s1"}} | Given the following FSM:
a b c d e f g h i
s0 s3 s2 s2 s0 s2 s1 s1 s3 s3
s1 s0 s0 s2 s1 s3 s0 s0 s2 s2
s2 s1 s0 s1 s0 s3 s3 s1 s2 s0
s3 s2 s3 s3 s2 s2 s0 s0 s1 s1
If we are in state s2 and the input is i, what state will we be in next? | s0 |
b61192ab-2ab8-4ca8-b452-2918357e5156 | edfa6379-329e-479d-a192-61af37b408bc | {"states": ["s0", "s1", "s2", "s4", "s5", "s6", "s8", "s9", "s10", "s11"], "alphabets": "abc", "accepting_states": ["s10"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s0"]}]} | 4 | {"a":{"s0":"s5","s1":"s8","s2":"s0","s4":"s6","s5":"s5","s6":"s9","s8":"s10","s9":"s11","s10":"s2","s11":"s5"},"b":{"s0":"s4","s1":"s11","s2":"s2","s4":"s10","s5":"s6","s6":"s1","s8":"s8","s9":"s4","s10":"s5","s11":"s1"},"c":{"s0":"s9","s1":"s2","s2":"s1","s4":"s0","s5":"s0","s6":"s5","s8":"s8","s9":"s10","s10":"s9","s11":"s0"}} | Given the following FSM:
a b c
s0 s5 s4 s9
s1 s8 s11 s2
s2 s0 s2 s1
s4 s6 s10 s0
s5 s5 s6 s0
s6 s9 s1 s5
s8 s10 s8 s8
s9 s11 s4 s10
s10 s2 s5 s9
s11 s5 s1 s0
If we are in state s2 and the input is a, what state will we be in next? | s0 |
eda1d0a3-0b0c-4461-ad55-87671b969f75 | 74048632-7669-4dbe-b9a4-65f032d148b3 | {"states": ["s0", "s1"], "alphabets": "abcdefghi", "accepting_states": ["s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s1"},"b":{"s0":"s1","s1":"s1"},"c":{"s0":"s0","s1":"s0"},"d":{"s0":"s0","s1":"s0"},"e":{"s0":"s0","s1":"s1"},"f":{"s0":"s0","s1":"s0"},"g":{"s0":"s0","s1":"s0"},"h":{"s0":"s1","s1":"s1"},"i":{"s0":"s0","s1":"s1"}} | Given the following FSM:
a b c d e f g h i
s0 s0 s1 s0 s0 s0 s0 s0 s1 s0
s1 s1 s1 s0 s0 s1 s0 s0 s1 s1
If we are in state s0 and the input is b, what state will we be in next? | s1 |
82bca4a4-f99f-4e3d-89e1-f003cdbce4f6 | 35a1b446-e53c-4545-b089-e11cff490dca | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7"], "alphabets": "ab", "accepting_states": ["s6", "s3", "s1", "s0", "s7", "s2", "s5", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s5","s1":"s1","s2":"s2","s3":"s3","s4":"s1","s5":"s3","s6":"s0","s7":"s3"},"b":{"s0":"s3","s1":"s7","s2":"s1","s3":"s6","s4":"s5","s5":"s2","s6":"s2","s7":"s4"}} | Given the following FSM:
a b
s0 s5 s3
s1 s1 s7
s2 s2 s1
s3 s3 s6
s4 s1 s5
s5 s3 s2
s6 s0 s2
s7 s3 s4
If we are in state s0 and the input is b, what state will we be in next? | s3 |
0a8aa43d-8245-4ce5-8494-8dcc569d1310 | 72e8f217-ee4c-4877-94b3-c0b0770f39c8 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5"], "alphabets": "abcd", "accepting_states": ["s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s1","s2":"s0","s3":"s3","s4":"s1","s5":"s3"},"b":{"s0":"s4","s1":"s5","s2":"s3","s3":"s1","s4":"s1","s5":"s5"},"c":{"s0":"s5","s1":"s4","s2":"s5","s3":"s1","s4":"s1","s5":"s5"},"d":{"s0":"s3","s1":"s2","s2":"s3","s3":"s4","s4":"s1","s5":"s1"}} | Given the following FSM:
a b c d
s0 s0 s4 s5 s3
s1 s1 s5 s4 s2
s2 s0 s3 s5 s3
s3 s3 s1 s1 s4
s4 s1 s1 s1 s1
s5 s3 s5 s5 s1
If we are in state s5 and the input is d, what state will we be in next? | s1 |
355a93c6-3690-4634-9de0-66d9654d7180 | 1b66e701-11e3-4d92-8a2d-861efadb304e | {"states": ["s0", "s1", "s2"], "alphabets": "abcdefg", "accepting_states": ["s1", "s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s2","s1":"s0","s2":"s0"},"b":{"s0":"s0","s1":"s0","s2":"s1"},"c":{"s0":"s1","s1":"s0","s2":"s2"},"d":{"s0":"s2","s1":"s1","s2":"s2"},"e":{"s0":"s2","s1":"s1","s2":"s0"},"f":{"s0":"s0","s1":"s0","s2":"s1"},"g":{"s0":"s0","s1":"s0","s2":"s2"}} | Given the following FSM:
a b c d e f g
s0 s2 s0 s1 s2 s2 s0 s0
s1 s0 s0 s0 s1 s1 s0 s0
s2 s0 s1 s2 s2 s0 s1 s2
If we are in state s2 and the input is a, what state will we be in next? | s0 |
52ca60a6-8ba7-4fc8-bed1-ad435d543ced | 4deb551e-f80d-4f71-891e-7cbcb9cdc019 | {"states": ["s0"], "alphabets": "abcd", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}]} | 2 | {"a":{"s0":"s0"},"b":{"s0":"s0"},"c":{"s0":"s0"},"d":{"s0":"s0"}} | Given the following FSM:
a b c d
s0 s0 s0 s0 s0
If we are in state s0 and the input is a, what state will we be in next? | s0 |
929dcfa0-757d-42ba-b746-81afe8b4116e | b03a051e-f9fb-47f7-a3e6-ccc32c4a323f | {"states": ["s0", "s6"], "alphabets": "a", "accepting_states": ["s6", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s6","s6":"s6"}} | Given the following FSM:
a
s0 s6
s6 s6
If we are in state s6 and the input is a, what state will we be in next? | s6 |
4ca5a5f7-b897-40c3-a650-683eb29e9ab1 | b3a53e1d-4fb4-484b-b353-ac1c8a3a6fa7 | {"states": ["s0", "s1", "s2", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12", "s13"], "alphabets": "ab", "accepting_states": ["s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s2","s1":"s2","s2":"s6","s4":"s11","s5":"s12","s6":"s8","s7":"s12","s8":"s5","s9":"s11","s10":"s9","s11":"s1","s12":"s9","s13":"s7"},"b":{"s0":"s5","s1":"s2","s2":"s5","s4":"s10","s5":"s11","s6":"s13","s7":"s4","s8":"s6","s9":"s11","s10":"s2","s11":"s1","s12":"s13","s13":"s9"}} | Given the following FSM:
a b
s0 s2 s5
s1 s2 s2
s2 s6 s5
s4 s11 s10
s5 s12 s11
s6 s8 s13
s7 s12 s4
s8 s5 s6
s9 s11 s11
s10 s9 s2
s11 s1 s1
s12 s9 s13
s13 s7 s9
If we are in state s2 and the input is a, what state will we be in next? | s6 |
50e3f7dc-9789-40d9-8f78-54471a5a1ce0 | 949f11ee-d266-4fde-a269-0f795182ab54 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11"], "alphabets": "abc", "accepting_states": ["s0", "s9", "s5", "s3", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s10"]}]} | 4 | {"a":{"s0":"s4","s1":"s0","s2":"s1","s3":"s6","s4":"s4","s5":"s2","s6":"s9","s7":"s5","s8":"s2","s9":"s10","s10":"s1","s11":"s9"},"b":{"s0":"s7","s1":"s7","s2":"s11","s3":"s1","s4":"s7","s5":"s11","s6":"s4","s7":"s10","s8":"s6","s9":"s7","s10":"s10","s11":"s3"},"c":{"s0":"s0","s1":"s8","s2":"s10","s3":"s1","s4":"s3","s5":"s4","s6":"s3","s7":"s11","s8":"s4","s9":"s5","s10":"s1","s11":"s10"}} | Given the following FSM:
a b c
s0 s4 s7 s0
s1 s0 s7 s8
s2 s1 s11 s10
s3 s6 s1 s1
s4 s4 s7 s3
s5 s2 s11 s4
s6 s9 s4 s3
s7 s5 s10 s11
s8 s2 s6 s4
s9 s10 s7 s5
s10 s1 s10 s1
s11 s9 s3 s10
If we are in state s9 and the input is b, what state will we be in next? | s7 |
8d3daea2-a52c-4338-b2ac-523461601968 | 51740998-01a9-454e-ace6-bdc20c096333 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abcdef", "accepting_states": ["s12", "s6", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s11"]}]} | 4 | {"a":{"s0":"s5","s1":"s9","s2":"s11","s3":"s8","s4":"s1","s5":"s9","s6":"s3","s7":"s9","s8":"s2","s9":"s11","s10":"s1","s11":"s6","s12":"s10"},"b":{"s0":"s11","s1":"s1","s2":"s3","s3":"s4","s4":"s9","s5":"s12","s6":"s3","s7":"s10","s8":"s3","s9":"s6","s10":"s12","s11":"s4","s12":"s12"},"c":{"s0":"s8","s1":"s5","s2":"s6","s3":"s0","s4":"s7","s5":"s4","s6":"s6","s7":"s4","s8":"s10","s9":"s7","s10":"s3","s11":"s6","s12":"s5"},"d":{"s0":"s9","s1":"s2","s2":"s11","s3":"s10","s4":"s10","s5":"s11","s6":"s9","s7":"s10","s8":"s2","s9":"s3","s10":"s11","s11":"s8","s12":"s0"},"e":{"s0":"s6","s1":"s10","s2":"s11","s3":"s11","s4":"s3","s5":"s8","s6":"s8","s7":"s5","s8":"s7","s9":"s7","s10":"s6","s11":"s6","s12":"s11"},"f":{"s0":"s6","s1":"s5","s2":"s8","s3":"s11","s4":"s1","s5":"s12","s6":"s11","s7":"s11","s8":"s3","s9":"s9","s10":"s6","s11":"s6","s12":"s11"}} | Given the following FSM:
a b c d e f
s0 s5 s11 s8 s9 s6 s6
s1 s9 s1 s5 s2 s10 s5
s2 s11 s3 s6 s11 s11 s8
s3 s8 s4 s0 s10 s11 s11
s4 s1 s9 s7 s10 s3 s1
s5 s9 s12 s4 s11 s8 s12
s6 s3 s3 s6 s9 s8 s11
s7 s9 s10 s4 s10 s5 s11
s8 s2 s3 s10 s2 s7 s3
s9 s11 s6 s7 s3 s7 s9
s10 s1 s12 s3 s11 s6 s6
s11 s6 s4 s6 s8 s6 s6
s12 s10 s12 s5 s0 s11 s11
If we are in state s10 and the input is b, what state will we be in next? | s12 |
04a16ddc-55aa-4d28-8fd0-8f39295079dd | eaba7e77-8655-4192-adcf-59b1179d7cb7 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6"], "alphabets": "abcdefgh", "accepting_states": ["s5", "s6", "s0", "s3", "s1", "s2", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s0","s1":"s4","s2":"s5","s3":"s1","s4":"s0","s5":"s2","s6":"s6"},"b":{"s0":"s3","s1":"s6","s2":"s5","s3":"s6","s4":"s4","s5":"s0","s6":"s2"},"c":{"s0":"s5","s1":"s0","s2":"s4","s3":"s2","s4":"s0","s5":"s3","s6":"s1"},"d":{"s0":"s5","s1":"s1","s2":"s3","s3":"s4","s4":"s6","s5":"s6","s6":"s5"},"e":{"s0":"s1","s1":"s4","s2":"s5","s3":"s2","s4":"s0","s5":"s6","s6":"s5"},"f":{"s0":"s5","s1":"s1","s2":"s4","s3":"s5","s4":"s1","s5":"s2","s6":"s4"},"g":{"s0":"s6","s1":"s1","s2":"s5","s3":"s2","s4":"s6","s5":"s4","s6":"s4"},"h":{"s0":"s3","s1":"s6","s2":"s6","s3":"s6","s4":"s2","s5":"s3","s6":"s4"}} | Given the following FSM:
a b c d e f g h
s0 s0 s3 s5 s5 s1 s5 s6 s3
s1 s4 s6 s0 s1 s4 s1 s1 s6
s2 s5 s5 s4 s3 s5 s4 s5 s6
s3 s1 s6 s2 s4 s2 s5 s2 s6
s4 s0 s4 s0 s6 s0 s1 s6 s2
s5 s2 s0 s3 s6 s6 s2 s4 s3
s6 s6 s2 s1 s5 s5 s4 s4 s4
If we are in state s0 and the input is d, what state will we be in next? | s5 |
1bc00381-72dc-484b-8495-3bcf60bbfd33 | 16ac269e-9bfa-4fe7-9c2a-b9e5dcf4a7c0 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s6", "s5", "s1", "s0", "s8", "s7", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s2","s1":"s3","s2":"s2","s3":"s1","s4":"s0","s5":"s6","s6":"s7","s7":"s0","s8":"s2"},"b":{"s0":"s6","s1":"s7","s2":"s6","s3":"s4","s4":"s8","s5":"s3","s6":"s7","s7":"s8","s8":"s6"},"c":{"s0":"s2","s1":"s7","s2":"s1","s3":"s2","s4":"s3","s5":"s7","s6":"s1","s7":"s6","s8":"s3"},"d":{"s0":"s4","s1":"s8","s2":"s2","s3":"s7","s4":"s7","s5":"s3","s6":"s8","s7":"s1","s8":"s5"},"e":{"s0":"s4","s1":"s7","s2":"s7","s3":"s7","s4":"s6","s5":"s6","s6":"s8","s7":"s1","s8":"s6"}} | Given the following FSM:
a b c d e
s0 s2 s6 s2 s4 s4
s1 s3 s7 s7 s8 s7
s2 s2 s6 s1 s2 s7
s3 s1 s4 s2 s7 s7
s4 s0 s8 s3 s7 s6
s5 s6 s3 s7 s3 s6
s6 s7 s7 s1 s8 s8
s7 s0 s8 s6 s1 s1
s8 s2 s6 s3 s5 s6
If we are in state s5 and the input is c, what state will we be in next? | s7 |
2af645c6-fe43-441f-96a0-51ecdf65f0e3 | 998363df-22a3-44a1-9c7f-225d7d731f1c | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcde", "accepting_states": ["s5", "s1", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s1","s1":"s5","s2":"s2","s3":"s4","s4":"s2","s5":"s7","s6":"s8","s7":"s3","s8":"s4","s9":"s2"},"b":{"s0":"s6","s1":"s6","s2":"s0","s3":"s2","s4":"s8","s5":"s7","s6":"s7","s7":"s8","s8":"s6","s9":"s3"},"c":{"s0":"s0","s1":"s8","s2":"s6","s3":"s3","s4":"s7","s5":"s6","s6":"s5","s7":"s3","s8":"s0","s9":"s0"},"d":{"s0":"s2","s1":"s9","s2":"s2","s3":"s4","s4":"s5","s5":"s4","s6":"s1","s7":"s5","s8":"s7","s9":"s5"},"e":{"s0":"s4","s1":"s9","s2":"s4","s3":"s8","s4":"s6","s5":"s4","s6":"s8","s7":"s5","s8":"s4","s9":"s9"}} | Given the following FSM:
a b c d e
s0 s1 s6 s0 s2 s4
s1 s5 s6 s8 s9 s9
s2 s2 s0 s6 s2 s4
s3 s4 s2 s3 s4 s8
s4 s2 s8 s7 s5 s6
s5 s7 s7 s6 s4 s4
s6 s8 s7 s5 s1 s8
s7 s3 s8 s3 s5 s5
s8 s4 s6 s0 s7 s4
s9 s2 s3 s0 s5 s9
If we are in state s3 and the input is c, what state will we be in next? | s3 |