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 |
|---|---|---|---|---|---|---|
ca381f8b-997c-4b58-88d8-44e00c366559 | 0665e36b-da71-4997-9683-ae0c11801475 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s6", "s0", "s4", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s0"]}]} | 4 | {"a":{"s0":"s5","s1":"s4","s2":"s0","s3":"s0","s4":"s0","s5":"s2","s6":"s3","s7":"s0","s8":"s2"},"b":{"s0":"s3","s1":"s2","s2":"s7","s3":"s0","s4":"s5","s5":"s6","s6":"s4","s7":"s8","s8":"s3"},"c":{"s0":"s0","s1":"s2","s2":"s4","s3":"s7","s4":"s6","s5":"s8","s6":"s8","s7":"s4","s8":"s5"},"d":{"s0":"s2","s1":"s0","s2":"s2","s3":"s7","s4":"s1","s5":"s7","s6":"s5","s7":"s2","s8":"s2"},"e":{"s0":"s4","s1":"s6","s2":"s4","s3":"s6","s4":"s0","s5":"s5","s6":"s0","s7":"s4","s8":"s5"},"f":{"s0":"s8","s1":"s8","s2":"s4","s3":"s3","s4":"s0","s5":"s5","s6":"s8","s7":"s7","s8":"s0"}} | Given the following FSM:
a b c d e f
s0 s5 s3 s0 s2 s4 s8
s1 s4 s2 s2 s0 s6 s8
s2 s0 s7 s4 s2 s4 s4
s3 s0 s0 s7 s7 s6 s3
s4 s0 s5 s6 s1 s0 s0
s5 s2 s6 s8 s7 s5 s5
s6 s3 s4 s8 s5 s0 s8
s7 s0 s8 s4 s2 s4 s7
s8 s2 s3 s5 s2 s5 s0
If we are in state s1 and the input is b, what state will we be in next? | s2 |
28c7b918-a694-4276-be77-5bb0cdd11704 | 3320a822-c7e7-4261-b9a4-cec95c5f9579 | {"states": ["s0", "s1", "s2"], "alphabets": "abcdefghij", "accepting_states": ["s0", "s2"], "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": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "j", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "j", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "j", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s1","s1":"s0","s2":"s0"},"b":{"s0":"s0","s1":"s2","s2":"s2"},"c":{"s0":"s0","s1":"s1","s2":"s2"},"d":{"s0":"s2","s1":"s2","s2":"s0"},"e":{"s0":"s0","s1":"s1","s2":"s1"},"f":{"s0":"s0","s1":"s2","s2":"s0"},"g":{"s0":"s1","s1":"s2","s2":"s0"},"h":{"s0":"s2","s1":"s2","s2":"s1"},"i":{"s0":"s2","s1":"s2","s2":"s1"},"j":{"s0":"s2","s1":"s0","s2":"s1"}} | Given the following FSM:
a b c d e f g h i j
s0 s1 s0 s0 s2 s0 s0 s1 s2 s2 s2
s1 s0 s2 s1 s2 s1 s2 s2 s2 s2 s0
s2 s0 s2 s2 s0 s1 s0 s0 s1 s1 s1
If we are in state s2 and the input is c, what state will we be in next? | s2 |
c3536f52-3a2b-401a-9fed-4f99ec5e62c4 | 1db469a6-9677-457c-8c39-b530425d1731 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6"], "alphabets": "abcdefg", "accepting_states": ["s4", "s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s5","s1":"s5","s2":"s3","s3":"s2","s4":"s0","s5":"s5","s6":"s5"},"b":{"s0":"s1","s1":"s1","s2":"s6","s3":"s3","s4":"s1","s5":"s4","s6":"s1"},"c":{"s0":"s1","s1":"s4","s2":"s1","s3":"s4","s4":"s6","s5":"s1","s6":"s0"},"d":{"s0":"s6","s1":"s6","s2":"s1","s3":"s6","s4":"s0","s5":"s1","s6":"s1"},"e":{"s0":"s2","s1":"s4","s2":"s0","s3":"s5","s4":"s3","s5":"s4","s6":"s0"},"f":{"s0":"s4","s1":"s5","s2":"s1","s3":"s4","s4":"s2","s5":"s0","s6":"s1"},"g":{"s0":"s0","s1":"s0","s2":"s2","s3":"s5","s4":"s1","s5":"s6","s6":"s3"}} | Given the following FSM:
a b c d e f g
s0 s5 s1 s1 s6 s2 s4 s0
s1 s5 s1 s4 s6 s4 s5 s0
s2 s3 s6 s1 s1 s0 s1 s2
s3 s2 s3 s4 s6 s5 s4 s5
s4 s0 s1 s6 s0 s3 s2 s1
s5 s5 s4 s1 s1 s4 s0 s6
s6 s5 s1 s0 s1 s0 s1 s3
If we are in state s0 and the input is e, what state will we be in next? | s2 |
b0e7ca4a-08b6-486f-9637-7e7f40d26476 | 97b682b6-8164-4287-bd5d-08ad1e36cce2 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7"], "alphabets": "abcde", "accepting_states": ["s0", "s6", "s5", "s2", "s4", "s3", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "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": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s2","s1":"s6","s2":"s0","s3":"s7","s4":"s7","s5":"s6","s6":"s5","s7":"s1"},"b":{"s0":"s7","s1":"s5","s2":"s7","s3":"s1","s4":"s3","s5":"s0","s6":"s4","s7":"s4"},"c":{"s0":"s0","s1":"s1","s2":"s0","s3":"s2","s4":"s1","s5":"s4","s6":"s6","s7":"s7"},"d":{"s0":"s2","s1":"s3","s2":"s6","s3":"s4","s4":"s1","s5":"s7","s6":"s0","s7":"s5"},"e":{"s0":"s1","s1":"s2","s2":"s7","s3":"s6","s4":"s6","s5":"s3","s6":"s3","s7":"s2"}} | Given the following FSM:
a b c d e
s0 s2 s7 s0 s2 s1
s1 s6 s5 s1 s3 s2
s2 s0 s7 s0 s6 s7
s3 s7 s1 s2 s4 s6
s4 s7 s3 s1 s1 s6
s5 s6 s0 s4 s7 s3
s6 s5 s4 s6 s0 s3
s7 s1 s4 s7 s5 s2
If we are in state s0 and the input is b, what state will we be in next? | s7 |
6f19af64-388e-4fb9-9067-f9abf4d2f9b0 | 37def5ee-9562-44b8-8ec2-2ef0521a8e57 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcdefghij", "accepting_states": ["s0", "s2", "s5", "s3", "s1", "s6", "s8", "s4", "s7", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "j", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "j", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "j", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "j", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "j", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "j", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "j", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "j", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "j", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "j", "toStates": ["s8"]}]} | 5 | {"a":{"s0":"s5","s1":"s6","s2":"s7","s3":"s8","s4":"s8","s5":"s6","s6":"s6","s7":"s9","s8":"s8","s9":"s4"},"b":{"s0":"s6","s1":"s1","s2":"s0","s3":"s9","s4":"s5","s5":"s9","s6":"s2","s7":"s3","s8":"s4","s9":"s3"},"c":{"s0":"s2","s1":"s3","s2":"s5","s3":"s8","s4":"s7","s5":"s4","s6":"s3","s7":"s2","s8":"s5","s9":"s0"},"d":{"s0":"s5","s1":"s7","s2":"s0","s3":"s4","s4":"s7","s5":"s8","s6":"s8","s7":"s6","s8":"s5","s9":"s2"},"e":{"s0":"s4","s1":"s5","s2":"s6","s3":"s0","s4":"s3","s5":"s9","s6":"s2","s7":"s7","s8":"s0","s9":"s8"},"f":{"s0":"s9","s1":"s4","s2":"s6","s3":"s6","s4":"s6","s5":"s4","s6":"s3","s7":"s8","s8":"s3","s9":"s5"},"g":{"s0":"s7","s1":"s5","s2":"s0","s3":"s9","s4":"s7","s5":"s4","s6":"s8","s7":"s9","s8":"s4","s9":"s5"},"h":{"s0":"s2","s1":"s9","s2":"s7","s3":"s3","s4":"s8","s5":"s1","s6":"s3","s7":"s5","s8":"s8","s9":"s7"},"i":{"s0":"s8","s1":"s2","s2":"s3","s3":"s4","s4":"s5","s5":"s2","s6":"s7","s7":"s8","s8":"s5","s9":"s6"},"j":{"s0":"s2","s1":"s5","s2":"s8","s3":"s1","s4":"s4","s5":"s9","s6":"s8","s7":"s6","s8":"s2","s9":"s8"}} | Given the following FSM:
a b c d e f g h i j
s0 s5 s6 s2 s5 s4 s9 s7 s2 s8 s2
s1 s6 s1 s3 s7 s5 s4 s5 s9 s2 s5
s2 s7 s0 s5 s0 s6 s6 s0 s7 s3 s8
s3 s8 s9 s8 s4 s0 s6 s9 s3 s4 s1
s4 s8 s5 s7 s7 s3 s6 s7 s8 s5 s4
s5 s6 s9 s4 s8 s9 s4 s4 s1 s2 s9
s6 s6 s2 s3 s8 s2 s3 s8 s3 s7 s8
s7 s9 s3 s2 s6 s7 s8 s9 s5 s8 s6
s8 s8 s4 s5 s5 s0 s3 s4 s8 s5 s2
s9 s4 s3 s0 s2 s8 s5 s5 s7 s6 s8
If we are in state s2 and the input is h, what state will we be in next? | s7 |
9d0a7660-c641-4be8-a7de-63cc347e62e8 | 3d39ab8b-fa6d-4caf-8d5d-1e91452c362c | {"states": ["s0", "s9"], "alphabets": "a", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s9","s9":"s9"}} | Given the following FSM:
a
s0 s9
s9 s9
If we are in state s9 and the input is a, what state will we be in next? | s9 |
c005bcfe-ff65-460f-900b-bd6089a2f349 | debb485b-8451-4a4a-b498-c02ac23d2067 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6"], "alphabets": "abcdef", "accepting_states": ["s4", "s1", "s0", "s6", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"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": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}]} | 3 | {"a":{"s0":"s5","s1":"s1","s2":"s3","s3":"s2","s4":"s1","s5":"s3","s6":"s6"},"b":{"s0":"s6","s1":"s6","s2":"s1","s3":"s6","s4":"s3","s5":"s5","s6":"s3"},"c":{"s0":"s3","s1":"s3","s2":"s3","s3":"s6","s4":"s2","s5":"s3","s6":"s4"},"d":{"s0":"s2","s1":"s6","s2":"s6","s3":"s0","s4":"s5","s5":"s4","s6":"s3"},"e":{"s0":"s6","s1":"s1","s2":"s6","s3":"s5","s4":"s6","s5":"s4","s6":"s2"},"f":{"s0":"s2","s1":"s5","s2":"s6","s3":"s4","s4":"s6","s5":"s0","s6":"s0"}} | Given the following FSM:
a b c d e f
s0 s5 s6 s3 s2 s6 s2
s1 s1 s6 s3 s6 s1 s5
s2 s3 s1 s3 s6 s6 s6
s3 s2 s6 s6 s0 s5 s4
s4 s1 s3 s2 s5 s6 s6
s5 s3 s5 s3 s4 s4 s0
s6 s6 s3 s4 s3 s2 s0
If we are in state s0 and the input is e, what state will we be in next? | s6 |
65dadde6-abd3-4c2e-94e6-24a4999fa830 | c730a9d2-3609-432f-966f-f607df14db95 | {"states": ["s0", "s4"], "alphabets": "a", "accepting_states": ["s0", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}]} | 2 | {"a":{"s0":"s4","s4":"s4"}} | Given the following FSM:
a
s0 s4
s4 s4
If we are in state s4 and the input is a, what state will we be in next? | s4 |
1a5cf87c-167c-415f-b1d0-278170158cd4 | 8043671f-a701-4d27-93b3-7b57d2e48147 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5"], "alphabets": "abc", "accepting_states": ["s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}]} | 2 | {"a":{"s0":"s2","s1":"s5","s2":"s3","s3":"s2","s4":"s0","s5":"s3"},"b":{"s0":"s0","s1":"s3","s2":"s4","s3":"s1","s4":"s2","s5":"s2"},"c":{"s0":"s5","s1":"s3","s2":"s0","s3":"s4","s4":"s2","s5":"s2"}} | Given the following FSM:
a b c
s0 s2 s0 s5
s1 s5 s3 s3
s2 s3 s4 s0
s3 s2 s1 s4
s4 s0 s2 s2
s5 s3 s2 s2
If we are in state s3 and the input is c, what state will we be in next? | s4 |
c263ff3f-dae0-4904-b483-45879924bcd4 | 214c4b6e-fbc9-4397-9a38-46298f27ac97 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcdefg", "accepting_states": ["s3", "s4", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s6","s1":"s0","s2":"s5","s3":"s6","s4":"s0","s5":"s9","s6":"s7","s7":"s5","s8":"s4","s9":"s5"},"b":{"s0":"s4","s1":"s4","s2":"s4","s3":"s1","s4":"s6","s5":"s8","s6":"s2","s7":"s9","s8":"s2","s9":"s3"},"c":{"s0":"s5","s1":"s8","s2":"s0","s3":"s4","s4":"s6","s5":"s0","s6":"s7","s7":"s9","s8":"s3","s9":"s6"},"d":{"s0":"s3","s1":"s1","s2":"s6","s3":"s3","s4":"s0","s5":"s5","s6":"s5","s7":"s7","s8":"s6","s9":"s9"},"e":{"s0":"s6","s1":"s6","s2":"s5","s3":"s9","s4":"s8","s5":"s0","s6":"s8","s7":"s4","s8":"s7","s9":"s0"},"f":{"s0":"s9","s1":"s0","s2":"s7","s3":"s9","s4":"s3","s5":"s8","s6":"s7","s7":"s7","s8":"s0","s9":"s2"},"g":{"s0":"s8","s1":"s8","s2":"s9","s3":"s5","s4":"s5","s5":"s0","s6":"s3","s7":"s9","s8":"s7","s9":"s4"}} | Given the following FSM:
a b c d e f g
s0 s6 s4 s5 s3 s6 s9 s8
s1 s0 s4 s8 s1 s6 s0 s8
s2 s5 s4 s0 s6 s5 s7 s9
s3 s6 s1 s4 s3 s9 s9 s5
s4 s0 s6 s6 s0 s8 s3 s5
s5 s9 s8 s0 s5 s0 s8 s0
s6 s7 s2 s7 s5 s8 s7 s3
s7 s5 s9 s9 s7 s4 s7 s9
s8 s4 s2 s3 s6 s7 s0 s7
s9 s5 s3 s6 s9 s0 s2 s4
If we are in state s0 and the input is b, what state will we be in next? | s4 |
2eb83a9f-d147-440a-8ae4-efdf0d0d681e | 961046b9-2d51-4b5d-9fee-ec2a0a7f7c56 | {"states": ["s0", "s1"], "alphabets": "abcdefg", "accepting_states": ["s0", "s1"], "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": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "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": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}]} | 2 | {"a":{"s0":"s1","s1":"s1"},"b":{"s0":"s0","s1":"s0"},"c":{"s0":"s1","s1":"s0"},"d":{"s0":"s0","s1":"s1"},"e":{"s0":"s0","s1":"s0"},"f":{"s0":"s1","s1":"s1"},"g":{"s0":"s1","s1":"s1"}} | Given the following FSM:
a b c d e f g
s0 s1 s0 s1 s0 s0 s1 s1
s1 s1 s0 s0 s1 s0 s1 s1
If we are in state s1 and the input is d, what state will we be in next? | s1 |
84172f63-4379-48a4-bac2-1bbd4669c858 | 65c991f7-8602-4337-8a74-aa636fca8909 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6"], "alphabets": "abc", "accepting_states": ["s4", "s2", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s4","s1":"s3","s2":"s3","s3":"s6","s4":"s0","s5":"s1","s6":"s5"},"b":{"s0":"s1","s1":"s6","s2":"s2","s3":"s0","s4":"s4","s5":"s6","s6":"s3"},"c":{"s0":"s2","s1":"s6","s2":"s0","s3":"s6","s4":"s3","s5":"s3","s6":"s1"}} | Given the following FSM:
a b c
s0 s4 s1 s2
s1 s3 s6 s6
s2 s3 s2 s0
s3 s6 s0 s6
s4 s0 s4 s3
s5 s1 s6 s3
s6 s5 s3 s1
If we are in state s3 and the input is c, what state will we be in next? | s6 |
5f893fce-d53e-4e57-898e-095c247f1bd7 | dd4dd799-03e5-4816-9e3c-aefa35327548 | {"states": ["s0", "s1"], "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": ["s1"]}, {"fromState": "s0", "symbol": "d", "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"]}]} | 2 | {"a":{"s0":"s0","s1":"s0"},"b":{"s0":"s0","s1":"s1"},"c":{"s0":"s1","s1":"s0"},"d":{"s0":"s1","s1":"s1"}} | Given the following FSM:
a b c d
s0 s0 s0 s1 s1
s1 s0 s1 s0 s1
If we are in state s1 and the input is a, what state will we be in next? | s0 |
bd2c7f81-e1d5-47a5-9e9a-aff52baccdfc | d5cedab4-fcd8-4e81-841c-a9d1dc90a72e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12", "s13"], "alphabets": "abcde", "accepting_states": ["s1", "s4", "s5", "s11", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s13"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s13"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s13"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s13", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s13", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s13", "symbol": "e", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s13","s1":"s4","s2":"s6","s3":"s9","s4":"s13","s5":"s1","s6":"s3","s7":"s11","s8":"s6","s9":"s10","s10":"s7","s11":"s6","s12":"s13","s13":"s13"},"b":{"s0":"s11","s1":"s4","s2":"s11","s3":"s13","s4":"s13","s5":"s6","s6":"s10","s7":"s3","s8":"s13","s9":"s6","s10":"s6","s11":"s2","s12":"s11","s13":"s8"},"c":{"s0":"s2","s1":"s11","s2":"s9","s3":"s11","s4":"s9","s5":"s10","s6":"s12","s7":"s13","s8":"s11","s9":"s3","s10":"s9","s11":"s11","s12":"s2","s13":"s5"},"d":{"s0":"s1","s1":"s2","s2":"s9","s3":"s13","s4":"s9","s5":"s0","s6":"s2","s7":"s3","s8":"s6","s9":"s11","s10":"s6","s11":"s10","s12":"s4","s13":"s7"},"e":{"s0":"s0","s1":"s10","s2":"s7","s3":"s9","s4":"s3","s5":"s8","s6":"s13","s7":"s12","s8":"s8","s9":"s4","s10":"s13","s11":"s1","s12":"s8","s13":"s7"}} | Given the following FSM:
a b c d e
s0 s13 s11 s2 s1 s0
s1 s4 s4 s11 s2 s10
s2 s6 s11 s9 s9 s7
s3 s9 s13 s11 s13 s9
s4 s13 s13 s9 s9 s3
s5 s1 s6 s10 s0 s8
s6 s3 s10 s12 s2 s13
s7 s11 s3 s13 s3 s12
s8 s6 s13 s11 s6 s8
s9 s10 s6 s3 s11 s4
s10 s7 s6 s9 s6 s13
s11 s6 s2 s11 s10 s1
s12 s13 s11 s2 s4 s8
s13 s13 s8 s5 s7 s7
If we are in state s0 and the input is c, what state will we be in next? | s2 |
8150babd-7988-43bf-8659-9fbcb01c35ae | f84b78ae-6c4b-4d9f-95ec-28a1e6096102 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abcdef", "accepting_states": ["s3", "s0", "s10", "s8", "s4", "s7", "s5", "s2", "s6", "s1", "s9", "s12", "s11"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s11"]}]} | 4 | {"a":{"s0":"s9","s1":"s11","s2":"s11","s3":"s9","s4":"s9","s5":"s1","s6":"s7","s7":"s12","s8":"s1","s9":"s4","s10":"s7","s11":"s8","s12":"s10"},"b":{"s0":"s6","s1":"s6","s2":"s10","s3":"s1","s4":"s4","s5":"s0","s6":"s11","s7":"s3","s8":"s7","s9":"s0","s10":"s6","s11":"s11","s12":"s1"},"c":{"s0":"s2","s1":"s1","s2":"s3","s3":"s6","s4":"s10","s5":"s10","s6":"s4","s7":"s10","s8":"s5","s9":"s1","s10":"s11","s11":"s4","s12":"s2"},"d":{"s0":"s10","s1":"s0","s2":"s7","s3":"s8","s4":"s10","s5":"s0","s6":"s10","s7":"s3","s8":"s2","s9":"s1","s10":"s8","s11":"s1","s12":"s9"},"e":{"s0":"s7","s1":"s12","s2":"s0","s3":"s2","s4":"s2","s5":"s2","s6":"s5","s7":"s3","s8":"s4","s9":"s10","s10":"s3","s11":"s7","s12":"s1"},"f":{"s0":"s2","s1":"s9","s2":"s9","s3":"s8","s4":"s2","s5":"s6","s6":"s1","s7":"s3","s8":"s0","s9":"s12","s10":"s3","s11":"s11","s12":"s11"}} | Given the following FSM:
a b c d e f
s0 s9 s6 s2 s10 s7 s2
s1 s11 s6 s1 s0 s12 s9
s2 s11 s10 s3 s7 s0 s9
s3 s9 s1 s6 s8 s2 s8
s4 s9 s4 s10 s10 s2 s2
s5 s1 s0 s10 s0 s2 s6
s6 s7 s11 s4 s10 s5 s1
s7 s12 s3 s10 s3 s3 s3
s8 s1 s7 s5 s2 s4 s0
s9 s4 s0 s1 s1 s10 s12
s10 s7 s6 s11 s8 s3 s3
s11 s8 s11 s4 s1 s7 s11
s12 s10 s1 s2 s9 s1 s11
If we are in state s2 and the input is c, what state will we be in next? | s3 |
327a4944-fa49-4dd5-a6d6-eb2cb5b87b56 | 61a94f2a-05a1-43cb-8b34-1ed806f79bad | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12", "s13", "s14"], "alphabets": "abcdefgh", "accepting_states": ["s9", "s13", "s12", "s14", "s10", "s6", "s0", "s5", "s8", "s3", "s11"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s14"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s13"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s13"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s13"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s14"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s14"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s14"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s13"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s14"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s14"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s12"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s14"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s13"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s13"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s13"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s14"]}, {"fromState": "s13", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s13", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s13", "symbol": "e", "toStates": ["s14"]}, {"fromState": "s13", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s13", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s13", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s14", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s14", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s14", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s14", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s14", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s14", "symbol": "f", "toStates": ["s13"]}, {"fromState": "s14", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s14", "symbol": "h", "toStates": ["s10"]}]} | 5 | {"a":{"s0":"s14","s1":"s6","s2":"s8","s3":"s8","s4":"s0","s5":"s2","s6":"s11","s7":"s12","s8":"s9","s9":"s4","s10":"s12","s11":"s6","s12":"s0","s13":"s4","s14":"s2"},"b":{"s0":"s11","s1":"s3","s2":"s1","s3":"s0","s4":"s5","s5":"s3","s6":"s7","s7":"s9","s8":"s5","s9":"s7","s10":"s0","s11":"s5","s12":"s0","s13":"s14","s14":"s7"},"c":{"s0":"s1","s1":"s0","s2":"s0","s3":"s13","s4":"s4","s5":"s10","s6":"s5","s7":"s5","s8":"s12","s9":"s14","s10":"s6","s11":"s10","s12":"s13","s13":"s6","s14":"s10"},"d":{"s0":"s1","s1":"s3","s2":"s3","s3":"s3","s4":"s4","s5":"s14","s6":"s5","s7":"s3","s8":"s5","s9":"s5","s10":"s5","s11":"s6","s12":"s7","s13":"s13","s14":"s9"},"e":{"s0":"s10","s1":"s1","s2":"s5","s3":"s10","s4":"s2","s5":"s9","s6":"s14","s7":"s5","s8":"s12","s9":"s12","s10":"s5","s11":"s14","s12":"s13","s13":"s14","s14":"s1"},"f":{"s0":"s11","s1":"s9","s2":"s0","s3":"s3","s4":"s13","s5":"s9","s6":"s12","s7":"s10","s8":"s3","s9":"s9","s10":"s14","s11":"s11","s12":"s12","s13":"s11","s14":"s13"},"g":{"s0":"s3","s1":"s7","s2":"s1","s3":"s2","s4":"s9","s5":"s10","s6":"s5","s7":"s1","s8":"s1","s9":"s3","s10":"s6","s11":"s13","s12":"s4","s13":"s0","s14":"s7"},"h":{"s0":"s3","s1":"s2","s2":"s0","s3":"s13","s4":"s14","s5":"s9","s6":"s0","s7":"s6","s8":"s13","s9":"s4","s10":"s12","s11":"s3","s12":"s3","s13":"s7","s14":"s10"}} | Given the following FSM:
a b c d e f g h
s0 s14 s11 s1 s1 s10 s11 s3 s3
s1 s6 s3 s0 s3 s1 s9 s7 s2
s2 s8 s1 s0 s3 s5 s0 s1 s0
s3 s8 s0 s13 s3 s10 s3 s2 s13
s4 s0 s5 s4 s4 s2 s13 s9 s14
s5 s2 s3 s10 s14 s9 s9 s10 s9
s6 s11 s7 s5 s5 s14 s12 s5 s0
s7 s12 s9 s5 s3 s5 s10 s1 s6
s8 s9 s5 s12 s5 s12 s3 s1 s13
s9 s4 s7 s14 s5 s12 s9 s3 s4
s10 s12 s0 s6 s5 s5 s14 s6 s12
s11 s6 s5 s10 s6 s14 s11 s13 s3
s12 s0 s0 s13 s7 s13 s12 s4 s3
s13 s4 s14 s6 s13 s14 s11 s0 s7
s14 s2 s7 s10 s9 s1 s13 s7 s10
If we are in state s14 and the input is h, what state will we be in next? | s10 |
9e033fce-d9c3-413b-aaec-cd190d612a06 | b3c0eab5-ebae-490d-9669-be6c2745494b | {"states": ["s0", "s1", "s2", "s3", "s4", "s5"], "alphabets": "abcdef", "accepting_states": ["s3", "s4", "s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s4","s1":"s0","s2":"s0","s3":"s4","s4":"s3","s5":"s4"},"b":{"s0":"s1","s1":"s4","s2":"s0","s3":"s1","s4":"s5","s5":"s3"},"c":{"s0":"s5","s1":"s0","s2":"s4","s3":"s2","s4":"s0","s5":"s1"},"d":{"s0":"s2","s1":"s3","s2":"s3","s3":"s0","s4":"s5","s5":"s5"},"e":{"s0":"s0","s1":"s5","s2":"s1","s3":"s3","s4":"s1","s5":"s1"},"f":{"s0":"s0","s1":"s1","s2":"s0","s3":"s1","s4":"s0","s5":"s2"}} | Given the following FSM:
a b c d e f
s0 s4 s1 s5 s2 s0 s0
s1 s0 s4 s0 s3 s5 s1
s2 s0 s0 s4 s3 s1 s0
s3 s4 s1 s2 s0 s3 s1
s4 s3 s5 s0 s5 s1 s0
s5 s4 s3 s1 s5 s1 s2
If we are in state s2 and the input is b, what state will we be in next? | s0 |
12ab872f-966a-4fed-8476-f43996d38353 | c4523520-12ed-4ed8-9272-bd53ba0851e2 | {"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 |
7f03a34f-2495-4178-b9e1-e47e4c4e802a | 2ddb8ba6-5e3e-4eb8-bdc1-f500843ecc1b | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6"], "alphabets": "abcde", "accepting_states": ["s2", "s1", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "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": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s1","s1":"s5","s2":"s2","s3":"s1","s4":"s2","s5":"s5","s6":"s3"},"b":{"s0":"s2","s1":"s2","s2":"s4","s3":"s3","s4":"s1","s5":"s3","s6":"s1"},"c":{"s0":"s2","s1":"s6","s2":"s6","s3":"s5","s4":"s0","s5":"s2","s6":"s2"},"d":{"s0":"s6","s1":"s4","s2":"s0","s3":"s5","s4":"s3","s5":"s0","s6":"s3"},"e":{"s0":"s0","s1":"s1","s2":"s4","s3":"s0","s4":"s3","s5":"s2","s6":"s3"}} | Given the following FSM:
a b c d e
s0 s1 s2 s2 s6 s0
s1 s5 s2 s6 s4 s1
s2 s2 s4 s6 s0 s4
s3 s1 s3 s5 s5 s0
s4 s2 s1 s0 s3 s3
s5 s5 s3 s2 s0 s2
s6 s3 s1 s2 s3 s3
If we are in state s0 and the input is e, what state will we be in next? | s0 |
83cb3153-e700-457b-ac98-68ea08493fd7 | 8577a7ce-ab51-4fa1-ad34-d23c21a3310b | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6"], "alphabets": "abcd", "accepting_states": ["s5", "s2", "s1"], "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": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s0","s1":"s4","s2":"s1","s3":"s3","s4":"s2","s5":"s3","s6":"s0"},"b":{"s0":"s2","s1":"s0","s2":"s5","s3":"s0","s4":"s0","s5":"s3","s6":"s4"},"c":{"s0":"s2","s1":"s0","s2":"s3","s3":"s3","s4":"s5","s5":"s6","s6":"s6"},"d":{"s0":"s3","s1":"s1","s2":"s4","s3":"s2","s4":"s3","s5":"s4","s6":"s6"}} | Given the following FSM:
a b c d
s0 s0 s2 s2 s3
s1 s4 s0 s0 s1
s2 s1 s5 s3 s4
s3 s3 s0 s3 s2
s4 s2 s0 s5 s3
s5 s3 s3 s6 s4
s6 s0 s4 s6 s6
If we are in state s1 and the input is b, what state will we be in next? | s0 |
643b8d19-48c5-4a9f-bbca-bff0945958d0 | 28b4b701-ed51-4741-9aee-58ac99fd78d3 | {"states": ["s0", "s1"], "alphabets": "abcdefghij", "accepting_states": ["s1", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"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": "s0", "symbol": "j", "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"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "j", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s1","s1":"s0"},"b":{"s0":"s1","s1":"s1"},"c":{"s0":"s1","s1":"s0"},"d":{"s0":"s0","s1":"s1"},"e":{"s0":"s1","s1":"s0"},"f":{"s0":"s1","s1":"s0"},"g":{"s0":"s1","s1":"s1"},"h":{"s0":"s1","s1":"s0"},"i":{"s0":"s0","s1":"s1"},"j":{"s0":"s1","s1":"s1"}} | Given the following FSM:
a b c d e f g h i j
s0 s1 s1 s1 s0 s1 s1 s1 s1 s0 s1
s1 s0 s1 s0 s1 s0 s0 s1 s0 s1 s1
If we are in state s1 and the input is i, what state will we be in next? | s1 |
c1f90db0-9e28-499f-87a2-f6b3756a878b | faa7b988-19a3-45bd-ad7d-aa7fff121e46 | {"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 |
78fba819-47ac-4229-87ee-7c0ed3a7d28a | 33daa63b-6f02-4abf-8c87-bc53aa291e24 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11"], "alphabets": "abcd", "accepting_states": ["s6", "s4", "s0", "s2", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s9","s1":"s11","s2":"s2","s3":"s4","s4":"s3","s5":"s6","s6":"s1","s7":"s7","s8":"s11","s9":"s1","s10":"s11","s11":"s6"},"b":{"s0":"s0","s1":"s4","s2":"s9","s3":"s2","s4":"s7","s5":"s11","s6":"s11","s7":"s11","s8":"s6","s9":"s0","s10":"s5","s11":"s6"},"c":{"s0":"s5","s1":"s7","s2":"s8","s3":"s4","s4":"s10","s5":"s9","s6":"s5","s7":"s9","s8":"s2","s9":"s0","s10":"s9","s11":"s2"},"d":{"s0":"s1","s1":"s4","s2":"s4","s3":"s7","s4":"s6","s5":"s7","s6":"s7","s7":"s4","s8":"s3","s9":"s10","s10":"s4","s11":"s1"}} | Given the following FSM:
a b c d
s0 s9 s0 s5 s1
s1 s11 s4 s7 s4
s2 s2 s9 s8 s4
s3 s4 s2 s4 s7
s4 s3 s7 s10 s6
s5 s6 s11 s9 s7
s6 s1 s11 s5 s7
s7 s7 s11 s9 s4
s8 s11 s6 s2 s3
s9 s1 s0 s0 s10
s10 s11 s5 s9 s4
s11 s6 s6 s2 s1
If we are in state s4 and the input is c, what state will we be in next? | s10 |
6e0a4103-448d-4d01-b469-525e059f5a4e | c596cbfb-9c7b-4cc2-a3c9-b83ae85fca80 | {"states": ["s0"], "alphabets": "ab", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}]} | 1 | {"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 |
979e6432-6735-4112-a976-8af9bfb449f9 | a46f8bfd-d1cd-4ca5-8365-d0f5702147b7 | {"states": ["s0", "s1"], "alphabets": "abcdefg", "accepting_states": ["s1", "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": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "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": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}]} | 2 | {"a":{"s0":"s1","s1":"s0"},"b":{"s0":"s0","s1":"s1"},"c":{"s0":"s1","s1":"s0"},"d":{"s0":"s1","s1":"s0"},"e":{"s0":"s1","s1":"s1"},"f":{"s0":"s0","s1":"s0"},"g":{"s0":"s1","s1":"s1"}} | Given the following FSM:
a b c d e f g
s0 s1 s0 s1 s1 s1 s0 s1
s1 s0 s1 s0 s0 s1 s0 s1
If we are in state s0 and the input is e, what state will we be in next? | s1 |
e00a64c2-f73e-4979-ae81-1a464d4d4ce5 | 3c803643-068c-46ca-8003-6cec5665246f | {"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 |
9958208b-f649-401f-913a-9520810a45ca | 4fb4391c-2a4a-4b8e-ae68-5fb15915693b | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7"], "alphabets": "abcd", "accepting_states": ["s5", "s3", "s1", "s6", "s0", "s4", "s2", "s7"], "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": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s2","s1":"s3","s2":"s3","s3":"s1","s4":"s1","s5":"s7","s6":"s7","s7":"s0"},"b":{"s0":"s1","s1":"s6","s2":"s1","s3":"s6","s4":"s0","s5":"s6","s6":"s7","s7":"s4"},"c":{"s0":"s1","s1":"s7","s2":"s7","s3":"s6","s4":"s6","s5":"s6","s6":"s2","s7":"s1"},"d":{"s0":"s7","s1":"s7","s2":"s6","s3":"s5","s4":"s4","s5":"s7","s6":"s0","s7":"s6"}} | Given the following FSM:
a b c d
s0 s2 s1 s1 s7
s1 s3 s6 s7 s7
s2 s3 s1 s7 s6
s3 s1 s6 s6 s5
s4 s1 s0 s6 s4
s5 s7 s6 s6 s7
s6 s7 s7 s2 s0
s7 s0 s4 s1 s6
If we are in state s1 and the input is c, what state will we be in next? | s7 |
77bcfe2e-95fc-4a4f-bd80-c6b9c3697553 | 2e4b03f8-9ed9-4d69-ba9c-5cd8462e9199 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7"], "alphabets": "ab", "accepting_states": ["s6", "s4", "s7", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s3","s1":"s4","s2":"s1","s3":"s4","s4":"s5","s5":"s0","s6":"s4","s7":"s1"},"b":{"s0":"s3","s1":"s7","s2":"s7","s3":"s2","s4":"s6","s5":"s4","s6":"s0","s7":"s4"}} | Given the following FSM:
a b
s0 s3 s3
s1 s4 s7
s2 s1 s7
s3 s4 s2
s4 s5 s6
s5 s0 s4
s6 s4 s0
s7 s1 s4
If we are in state s3 and the input is a, what state will we be in next? | s4 |
182ebac4-8f98-4b20-97bf-996311dfed73 | c7df6cd9-cac0-4bff-b021-0ef3ed533095 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11"], "alphabets": "abcdefghi", "accepting_states": ["s0", "s3", "s9", "s4", "s1", "s2", "s11", "s10"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"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": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "i", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "i", "toStates": ["s5"]}]} | 5 | {"a":{"s0":"s11","s1":"s0","s2":"s7","s3":"s1","s4":"s6","s5":"s5","s6":"s1","s7":"s2","s8":"s11","s9":"s9","s10":"s5","s11":"s4"},"b":{"s0":"s1","s1":"s3","s2":"s1","s3":"s2","s4":"s10","s5":"s4","s6":"s2","s7":"s5","s8":"s8","s9":"s10","s10":"s2","s11":"s10"},"c":{"s0":"s6","s1":"s6","s2":"s7","s3":"s7","s4":"s10","s5":"s3","s6":"s0","s7":"s6","s8":"s11","s9":"s3","s10":"s9","s11":"s8"},"d":{"s0":"s4","s1":"s8","s2":"s3","s3":"s10","s4":"s5","s5":"s11","s6":"s8","s7":"s5","s8":"s10","s9":"s7","s10":"s0","s11":"s4"},"e":{"s0":"s5","s1":"s10","s2":"s2","s3":"s3","s4":"s6","s5":"s0","s6":"s5","s7":"s10","s8":"s2","s9":"s11","s10":"s8","s11":"s2"},"f":{"s0":"s0","s1":"s3","s2":"s11","s3":"s2","s4":"s11","s5":"s10","s6":"s1","s7":"s3","s8":"s2","s9":"s6","s10":"s6","s11":"s8"},"g":{"s0":"s0","s1":"s2","s2":"s8","s3":"s6","s4":"s10","s5":"s5","s6":"s8","s7":"s10","s8":"s11","s9":"s7","s10":"s4","s11":"s5"},"h":{"s0":"s3","s1":"s4","s2":"s10","s3":"s6","s4":"s2","s5":"s11","s6":"s7","s7":"s2","s8":"s10","s9":"s6","s10":"s2","s11":"s1"},"i":{"s0":"s4","s1":"s0","s2":"s3","s3":"s0","s4":"s2","s5":"s11","s6":"s8","s7":"s4","s8":"s7","s9":"s11","s10":"s5","s11":"s5"}} | Given the following FSM:
a b c d e f g h i
s0 s11 s1 s6 s4 s5 s0 s0 s3 s4
s1 s0 s3 s6 s8 s10 s3 s2 s4 s0
s2 s7 s1 s7 s3 s2 s11 s8 s10 s3
s3 s1 s2 s7 s10 s3 s2 s6 s6 s0
s4 s6 s10 s10 s5 s6 s11 s10 s2 s2
s5 s5 s4 s3 s11 s0 s10 s5 s11 s11
s6 s1 s2 s0 s8 s5 s1 s8 s7 s8
s7 s2 s5 s6 s5 s10 s3 s10 s2 s4
s8 s11 s8 s11 s10 s2 s2 s11 s10 s7
s9 s9 s10 s3 s7 s11 s6 s7 s6 s11
s10 s5 s2 s9 s0 s8 s6 s4 s2 s5
s11 s4 s10 s8 s4 s2 s8 s5 s1 s5
If we are in state s3 and the input is e, what state will we be in next? | s3 |
6d16f84a-8114-4fc6-89e1-573a2c1d6e06 | 0ca9441b-dc11-4e26-8c77-bf14f0043494 | {"states": ["s0", "s1", "s2", "s3"], "alphabets": "abcdefghij", "accepting_states": ["s0", "s3", "s1", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"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": "s0", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "j", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "j", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "j", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "j", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s3","s1":"s2","s2":"s0","s3":"s1"},"b":{"s0":"s3","s1":"s1","s2":"s2","s3":"s2"},"c":{"s0":"s3","s1":"s1","s2":"s2","s3":"s2"},"d":{"s0":"s2","s1":"s3","s2":"s1","s3":"s0"},"e":{"s0":"s2","s1":"s0","s2":"s3","s3":"s2"},"f":{"s0":"s0","s1":"s3","s2":"s3","s3":"s3"},"g":{"s0":"s0","s1":"s3","s2":"s2","s3":"s3"},"h":{"s0":"s3","s1":"s1","s2":"s0","s3":"s1"},"i":{"s0":"s3","s1":"s2","s2":"s1","s3":"s3"},"j":{"s0":"s0","s1":"s1","s2":"s0","s3":"s2"}} | Given the following FSM:
a b c d e f g h i j
s0 s3 s3 s3 s2 s2 s0 s0 s3 s3 s0
s1 s2 s1 s1 s3 s0 s3 s3 s1 s2 s1
s2 s0 s2 s2 s1 s3 s3 s2 s0 s1 s0
s3 s1 s2 s2 s0 s2 s3 s3 s1 s3 s2
If we are in state s3 and the input is f, what state will we be in next? | s3 |
31a74b44-da4d-4665-a80f-f50f75d2c9b2 | 97d04ccb-6e89-4862-91d0-d3da41baf2c1 | {"states": ["s0", "s1", "s2", "s3", "s4", "s6", "s8", "s9"], "alphabets": "a", "accepting_states": ["s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s2","s1":"s6","s2":"s4","s3":"s1","s4":"s8","s6":"s9","s8":"s3","s9":"s3"}} | Given the following FSM:
a
s0 s2
s1 s6
s2 s4
s3 s1
s4 s8
s6 s9
s8 s3
s9 s3
If we are in state s9 and the input is a, what state will we be in next? | s3 |
8ed8929f-e88f-4c33-8d5b-7e09fb937339 | 6b69e3f9-eb3f-437f-be1d-bca624c16f75 | {"states": ["s0", "s2", "s5", "s6", "s7", "s9", "s10", "s11"], "alphabets": "a", "accepting_states": ["s5", "s10", "s9", "s7", "s11", "s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s7","s2":"s11","s5":"s6","s6":"s2","s7":"s9","s9":"s10","s10":"s11","s11":"s5"}} | Given the following FSM:
a
s0 s7
s2 s11
s5 s6
s6 s2
s7 s9
s9 s10
s10 s11
s11 s5
If we are in state s11 and the input is a, what state will we be in next? | s5 |
a9900d25-19e7-42a4-8c4a-1badf3cb501a | 780e5d4c-589c-4410-8b8f-3ec7cf6997e9 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s0", "s2", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s2"]}]} | 4 | {"a":{"s0":"s3","s1":"s3","s2":"s8","s3":"s7","s4":"s0","s5":"s0","s6":"s4","s7":"s2","s8":"s0"},"b":{"s0":"s6","s1":"s0","s2":"s8","s3":"s1","s4":"s7","s5":"s8","s6":"s1","s7":"s7","s8":"s5"},"c":{"s0":"s8","s1":"s1","s2":"s4","s3":"s3","s4":"s8","s5":"s5","s6":"s1","s7":"s1","s8":"s2"},"d":{"s0":"s5","s1":"s2","s2":"s8","s3":"s4","s4":"s1","s5":"s5","s6":"s1","s7":"s4","s8":"s6"},"e":{"s0":"s0","s1":"s0","s2":"s0","s3":"s0","s4":"s1","s5":"s3","s6":"s1","s7":"s6","s8":"s4"},"f":{"s0":"s0","s1":"s8","s2":"s6","s3":"s3","s4":"s2","s5":"s2","s6":"s8","s7":"s0","s8":"s2"}} | Given the following FSM:
a b c d e f
s0 s3 s6 s8 s5 s0 s0
s1 s3 s0 s1 s2 s0 s8
s2 s8 s8 s4 s8 s0 s6
s3 s7 s1 s3 s4 s0 s3
s4 s0 s7 s8 s1 s1 s2
s5 s0 s8 s5 s5 s3 s2
s6 s4 s1 s1 s1 s1 s8
s7 s2 s7 s1 s4 s6 s0
s8 s0 s5 s2 s6 s4 s2
If we are in state s1 and the input is d, what state will we be in next? | s2 |
8fbb4d88-3ad2-4638-8ba7-e889f5dd4f9e | b934240e-687b-4755-978d-1e603f6930b8 | {"states": ["s0", "s1", "s2", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abc", "accepting_states": ["s11", "s8", "s5", "s9", "s7", "s0", "s4", "s1", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s0","s1":"s8","s2":"s11","s4":"s0","s5":"s2","s6":"s10","s7":"s8","s8":"s11","s9":"s5","s10":"s6","s11":"s9","s12":"s8"},"b":{"s0":"s2","s1":"s10","s2":"s7","s4":"s1","s5":"s12","s6":"s7","s7":"s5","s8":"s11","s9":"s9","s10":"s0","s11":"s12","s12":"s4"},"c":{"s0":"s1","s1":"s10","s2":"s10","s4":"s9","s5":"s10","s6":"s2","s7":"s0","s8":"s4","s9":"s8","s10":"s4","s11":"s8","s12":"s8"}} | Given the following FSM:
a b c
s0 s0 s2 s1
s1 s8 s10 s10
s2 s11 s7 s10
s4 s0 s1 s9
s5 s2 s12 s10
s6 s10 s7 s2
s7 s8 s5 s0
s8 s11 s11 s4
s9 s5 s9 s8
s10 s6 s0 s4
s11 s9 s12 s8
s12 s8 s4 s8
If we are in state s4 and the input is b, what state will we be in next? | s1 |
188eb0df-7b83-4353-a4d6-9224e5cbaa7a | 7e68ab1f-3fff-499b-914c-e36ba79aa739 | {"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 |
bf4a8d92-e977-4571-9021-7025359d2e12 | e07083f3-47c5-4add-abdf-165a2625c575 | {"states": ["s0", "s1", "s2", "s3", "s4"], "alphabets": "abcdefgh", "accepting_states": ["s0", "s2", "s3", "s4", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"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": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "h", "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": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s4","s1":"s0","s2":"s4","s3":"s4","s4":"s2"},"b":{"s0":"s0","s1":"s1","s2":"s2","s3":"s4","s4":"s0"},"c":{"s0":"s2","s1":"s1","s2":"s4","s3":"s2","s4":"s0"},"d":{"s0":"s2","s1":"s2","s2":"s4","s3":"s0","s4":"s1"},"e":{"s0":"s0","s1":"s2","s2":"s2","s3":"s2","s4":"s3"},"f":{"s0":"s2","s1":"s3","s2":"s4","s3":"s1","s4":"s0"},"g":{"s0":"s4","s1":"s4","s2":"s2","s3":"s4","s4":"s2"},"h":{"s0":"s0","s1":"s3","s2":"s4","s3":"s3","s4":"s4"}} | Given the following FSM:
a b c d e f g h
s0 s4 s0 s2 s2 s0 s2 s4 s0
s1 s0 s1 s1 s2 s2 s3 s4 s3
s2 s4 s2 s4 s4 s2 s4 s2 s4
s3 s4 s4 s2 s0 s2 s1 s4 s3
s4 s2 s0 s0 s1 s3 s0 s2 s4
If we are in state s0 and the input is c, what state will we be in next? | s2 |
361a594c-237f-492e-ba3d-a448086f6963 | a2064843-6d36-4394-b9e9-2a07add15b6f | {"states": ["s0", "s1"], "alphabets": "abcdefgh", "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": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"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":"s1"},"b":{"s0":"s1","s1":"s0"},"c":{"s0":"s1","s1":"s1"},"d":{"s0":"s1","s1":"s0"},"e":{"s0":"s1","s1":"s1"},"f":{"s0":"s1","s1":"s1"},"g":{"s0":"s0","s1":"s1"},"h":{"s0":"s1","s1":"s1"}} | Given the following FSM:
a b c d e f g h
s0 s0 s1 s1 s1 s1 s1 s0 s1
s1 s1 s0 s1 s0 s1 s1 s1 s1
If we are in state s1 and the input is d, what state will we be in next? | s0 |
c917219d-b3ff-41ad-b31e-f9b15a38e6d2 | 79d50673-ae3a-4b4e-a274-5a7d17ba91e7 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefghi", "accepting_states": ["s8", "s2", "s3", "s0", "s6", "s5", "s7", "s4", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"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": ["s4"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s0","s1":"s2","s2":"s6","s3":"s0","s4":"s1","s5":"s7","s6":"s1","s7":"s8","s8":"s8"},"b":{"s0":"s4","s1":"s0","s2":"s4","s3":"s2","s4":"s3","s5":"s6","s6":"s8","s7":"s5","s8":"s0"},"c":{"s0":"s3","s1":"s0","s2":"s8","s3":"s7","s4":"s6","s5":"s7","s6":"s7","s7":"s8","s8":"s0"},"d":{"s0":"s5","s1":"s6","s2":"s2","s3":"s8","s4":"s5","s5":"s0","s6":"s8","s7":"s8","s8":"s8"},"e":{"s0":"s5","s1":"s4","s2":"s3","s3":"s1","s4":"s6","s5":"s1","s6":"s3","s7":"s1","s8":"s8"},"f":{"s0":"s3","s1":"s4","s2":"s1","s3":"s3","s4":"s5","s5":"s4","s6":"s7","s7":"s0","s8":"s6"},"g":{"s0":"s4","s1":"s4","s2":"s6","s3":"s0","s4":"s5","s5":"s1","s6":"s4","s7":"s4","s8":"s1"},"h":{"s0":"s0","s1":"s3","s2":"s3","s3":"s2","s4":"s4","s5":"s6","s6":"s3","s7":"s0","s8":"s2"},"i":{"s0":"s7","s1":"s5","s2":"s5","s3":"s6","s4":"s0","s5":"s4","s6":"s8","s7":"s2","s8":"s7"}} | Given the following FSM:
a b c d e f g h i
s0 s0 s4 s3 s5 s5 s3 s4 s0 s7
s1 s2 s0 s0 s6 s4 s4 s4 s3 s5
s2 s6 s4 s8 s2 s3 s1 s6 s3 s5
s3 s0 s2 s7 s8 s1 s3 s0 s2 s6
s4 s1 s3 s6 s5 s6 s5 s5 s4 s0
s5 s7 s6 s7 s0 s1 s4 s1 s6 s4
s6 s1 s8 s7 s8 s3 s7 s4 s3 s8
s7 s8 s5 s8 s8 s1 s0 s4 s0 s2
s8 s8 s0 s0 s8 s8 s6 s1 s2 s7
If we are in state s1 and the input is b, what state will we be in next? | s0 |
1bc79ddd-42b4-4b40-9933-85cf940fdc21 | 255d3a5d-0891-44bb-b637-0ea5f1d3d666 | {"states": ["s0", "s10", "s12"], "alphabets": "a", "accepting_states": ["s0", "s12"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s10"]}]} | 4 | {"a":{"s0":"s12","s10":"s0","s12":"s10"}} | Given the following FSM:
a
s0 s12
s10 s0
s12 s10
If we are in state s10 and the input is a, what state will we be in next? | s0 |
7813e28f-3745-4f83-9c6c-bc938532b4ff | 84ac4040-4fe9-4888-ae48-38d2d20bde32 | {"states": ["s0", "s4"], "alphabets": "a", "accepting_states": ["s0", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}]} | 2 | {"a":{"s0":"s4","s4":"s4"}} | Given the following FSM:
a
s0 s4
s4 s4
If we are in state s4 and the input is a, what state will we be in next? | s4 |
b5c80bc9-3017-40d9-891f-8ff3fec16c60 | 7fac29c0-6756-4ccd-ba01-b9802076ec62 | {"states": ["s0", "s1", "s2", "s3", "s4"], "alphabets": "abcdefgh", "accepting_states": ["s3", "s0", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s1"]}, {"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": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s2","s1":"s3","s2":"s2","s3":"s0","s4":"s3"},"b":{"s0":"s0","s1":"s1","s2":"s2","s3":"s4","s4":"s1"},"c":{"s0":"s0","s1":"s3","s2":"s3","s3":"s1","s4":"s3"},"d":{"s0":"s4","s1":"s1","s2":"s3","s3":"s4","s4":"s1"},"e":{"s0":"s0","s1":"s1","s2":"s1","s3":"s3","s4":"s3"},"f":{"s0":"s1","s1":"s0","s2":"s4","s3":"s4","s4":"s0"},"g":{"s0":"s0","s1":"s3","s2":"s4","s3":"s1","s4":"s0"},"h":{"s0":"s4","s1":"s4","s2":"s1","s3":"s1","s4":"s2"}} | Given the following FSM:
a b c d e f g h
s0 s2 s0 s0 s4 s0 s1 s0 s4
s1 s3 s1 s3 s1 s1 s0 s3 s4
s2 s2 s2 s3 s3 s1 s4 s4 s1
s3 s0 s4 s1 s4 s3 s4 s1 s1
s4 s3 s1 s3 s1 s3 s0 s0 s2
If we are in state s3 and the input is f, what state will we be in next? | s4 |
d6f5deeb-295d-4631-9891-61fca047ee67 | 53ffed63-b5e6-473e-8f9f-e5511c9e3744 | {"states": ["s0", "s1", "s2", "s3", "s4"], "alphabets": "ab", "accepting_states": ["s3", "s0", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}]} | 2 | {"a":{"s0":"s1","s1":"s4","s2":"s2","s3":"s4","s4":"s2"},"b":{"s0":"s4","s1":"s3","s2":"s0","s3":"s2","s4":"s0"}} | Given the following FSM:
a b
s0 s1 s4
s1 s4 s3
s2 s2 s0
s3 s4 s2
s4 s2 s0
If we are in state s2 and the input is b, what state will we be in next? | s0 |
f880dec5-e4e9-49a2-ac13-a3a86fd24d14 | c6780c84-f2cc-42f8-a729-2bc319148b3c | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s8"], "alphabets": "ab", "accepting_states": ["s6", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}]} | 3 | {"a":{"s0":"s5","s1":"s3","s2":"s1","s3":"s1","s4":"s1","s5":"s8","s6":"s0","s8":"s4"},"b":{"s0":"s4","s1":"s6","s2":"s2","s3":"s4","s4":"s2","s5":"s0","s6":"s0","s8":"s0"}} | Given the following FSM:
a b
s0 s5 s4
s1 s3 s6
s2 s1 s2
s3 s1 s4
s4 s1 s2
s5 s8 s0
s6 s0 s0
s8 s4 s0
If we are in state s0 and the input is b, what state will we be in next? | s4 |
500ed3ea-5dc4-42e8-bd29-937649d71bb1 | 48bb068d-1364-41c6-9b68-e44d86e6d6b2 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s8", "s7", "s0", "s6", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s2"]}]} | 4 | {"a":{"s0":"s5","s1":"s7","s2":"s7","s3":"s0","s4":"s3","s5":"s1","s6":"s3","s7":"s2","s8":"s6"},"b":{"s0":"s4","s1":"s8","s2":"s4","s3":"s2","s4":"s3","s5":"s8","s6":"s6","s7":"s8","s8":"s4"},"c":{"s0":"s1","s1":"s1","s2":"s3","s3":"s2","s4":"s0","s5":"s8","s6":"s4","s7":"s3","s8":"s8"},"d":{"s0":"s1","s1":"s5","s2":"s8","s3":"s3","s4":"s0","s5":"s4","s6":"s2","s7":"s1","s8":"s3"},"e":{"s0":"s1","s1":"s0","s2":"s8","s3":"s5","s4":"s6","s5":"s0","s6":"s5","s7":"s8","s8":"s1"},"f":{"s0":"s8","s1":"s2","s2":"s4","s3":"s2","s4":"s8","s5":"s0","s6":"s0","s7":"s5","s8":"s4"},"g":{"s0":"s6","s1":"s5","s2":"s0","s3":"s5","s4":"s2","s5":"s5","s6":"s4","s7":"s3","s8":"s8"},"h":{"s0":"s2","s1":"s1","s2":"s6","s3":"s6","s4":"s6","s5":"s7","s6":"s0","s7":"s3","s8":"s2"}} | Given the following FSM:
a b c d e f g h
s0 s5 s4 s1 s1 s1 s8 s6 s2
s1 s7 s8 s1 s5 s0 s2 s5 s1
s2 s7 s4 s3 s8 s8 s4 s0 s6
s3 s0 s2 s2 s3 s5 s2 s5 s6
s4 s3 s3 s0 s0 s6 s8 s2 s6
s5 s1 s8 s8 s4 s0 s0 s5 s7
s6 s3 s6 s4 s2 s5 s0 s4 s0
s7 s2 s8 s3 s1 s8 s5 s3 s3
s8 s6 s4 s8 s3 s1 s4 s8 s2
If we are in state s1 and the input is b, what state will we be in next? | s8 |
a338a8f3-eeef-4b5e-88f4-7ca045543a8b | 6ce79e62-8389-425a-a0e8-5ac3566842a5 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6"], "alphabets": "abc", "accepting_states": ["s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s6","s1":"s3","s2":"s0","s3":"s1","s4":"s2","s5":"s6","s6":"s6"},"b":{"s0":"s0","s1":"s4","s2":"s1","s3":"s3","s4":"s5","s5":"s4","s6":"s5"},"c":{"s0":"s4","s1":"s1","s2":"s5","s3":"s0","s4":"s3","s5":"s1","s6":"s1"}} | Given the following FSM:
a b c
s0 s6 s0 s4
s1 s3 s4 s1
s2 s0 s1 s5
s3 s1 s3 s0
s4 s2 s5 s3
s5 s6 s4 s1
s6 s6 s5 s1
If we are in state s3 and the input is c, what state will we be in next? | s0 |
6e960cb2-ff6b-438b-b906-eef0c57f515c | 0106ad99-b3cc-412e-b3d5-dd65f1e6bac1 | {"states": ["s0"], "alphabets": "abcde", "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"]}]} | 2 | {"a":{"s0":"s0"},"b":{"s0":"s0"},"c":{"s0":"s0"},"d":{"s0":"s0"},"e":{"s0":"s0"}} | Given the following FSM:
a b c d e
s0 s0 s0 s0 s0 s0
If we are in state s0 and the input is c, what state will we be in next? | s0 |
9160f031-0d99-4796-8af2-85545f5e310e | 798058a1-5d3b-4931-bb91-d948b8884c3f | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12", "s13"], "alphabets": "abcd", "accepting_states": ["s9", "s12"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s13"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s13", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s13", "symbol": "d", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s10","s1":"s5","s2":"s9","s3":"s11","s4":"s9","s5":"s1","s6":"s10","s7":"s4","s8":"s0","s9":"s8","s10":"s3","s11":"s5","s12":"s5","s13":"s8"},"b":{"s0":"s4","s1":"s0","s2":"s10","s3":"s0","s4":"s13","s5":"s5","s6":"s6","s7":"s4","s8":"s0","s9":"s12","s10":"s3","s11":"s1","s12":"s3","s13":"s13"},"c":{"s0":"s1","s1":"s3","s2":"s3","s3":"s2","s4":"s1","s5":"s5","s6":"s2","s7":"s13","s8":"s5","s9":"s6","s10":"s7","s11":"s12","s12":"s11","s13":"s8"},"d":{"s0":"s1","s1":"s6","s2":"s2","s3":"s13","s4":"s1","s5":"s1","s6":"s13","s7":"s6","s8":"s2","s9":"s2","s10":"s0","s11":"s10","s12":"s11","s13":"s9"}} | Given the following FSM:
a b c d
s0 s10 s4 s1 s1
s1 s5 s0 s3 s6
s2 s9 s10 s3 s2
s3 s11 s0 s2 s13
s4 s9 s13 s1 s1
s5 s1 s5 s5 s1
s6 s10 s6 s2 s13
s7 s4 s4 s13 s6
s8 s0 s0 s5 s2
s9 s8 s12 s6 s2
s10 s3 s3 s7 s0
s11 s5 s1 s12 s10
s12 s5 s3 s11 s11
s13 s8 s13 s8 s9
If we are in state s7 and the input is d, what state will we be in next? | s6 |
66229a76-9960-4503-8fd8-b0ca0bcf31ec | 3d78fc48-caf7-40e8-96ac-fc0016703b32 | {"states": ["s0", "s1"], "alphabets": "abcdefgh", "accepting_states": ["s1"], "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": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s0"]}, {"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": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s0"]}]} | 3 | {"a":{"s0":"s0","s1":"s1"},"b":{"s0":"s0","s1":"s1"},"c":{"s0":"s1","s1":"s1"},"d":{"s0":"s0","s1":"s0"},"e":{"s0":"s0","s1":"s0"},"f":{"s0":"s1","s1":"s0"},"g":{"s0":"s1","s1":"s0"},"h":{"s0":"s0","s1":"s0"}} | Given the following FSM:
a b c d e f g h
s0 s0 s0 s1 s0 s0 s1 s1 s0
s1 s1 s1 s1 s0 s0 s0 s0 s0
If we are in state s1 and the input is f, what state will we be in next? | s0 |
fab44f76-16e6-4816-8579-aed667e78c60 | 945a5a94-dec5-4319-bc68-847406163b8f | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12", "s13"], "alphabets": "abcde", "accepting_states": ["s10", "s3", "s8", "s4", "s11", "s6", "s1", "s12", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s13"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s13"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s13"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s13", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s13", "symbol": "e", "toStates": ["s10"]}]} | 4 | {"a":{"s0":"s10","s1":"s4","s2":"s0","s3":"s4","s4":"s13","s5":"s2","s6":"s10","s7":"s5","s8":"s9","s9":"s3","s10":"s13","s11":"s7","s12":"s11","s13":"s11"},"b":{"s0":"s1","s1":"s11","s2":"s6","s3":"s1","s4":"s1","s5":"s0","s6":"s3","s7":"s8","s8":"s1","s9":"s9","s10":"s10","s11":"s6","s12":"s8","s13":"s3"},"c":{"s0":"s10","s1":"s6","s2":"s6","s3":"s11","s4":"s7","s5":"s2","s6":"s10","s7":"s7","s8":"s9","s9":"s11","s10":"s7","s11":"s3","s12":"s13","s13":"s7"},"d":{"s0":"s12","s1":"s11","s2":"s3","s3":"s6","s4":"s8","s5":"s8","s6":"s8","s7":"s9","s8":"s6","s9":"s10","s10":"s9","s11":"s12","s12":"s8","s13":"s10"},"e":{"s0":"s2","s1":"s5","s2":"s5","s3":"s4","s4":"s13","s5":"s3","s6":"s11","s7":"s6","s8":"s7","s9":"s12","s10":"s8","s11":"s13","s12":"s3","s13":"s10"}} | Given the following FSM:
a b c d e
s0 s10 s1 s10 s12 s2
s1 s4 s11 s6 s11 s5
s2 s0 s6 s6 s3 s5
s3 s4 s1 s11 s6 s4
s4 s13 s1 s7 s8 s13
s5 s2 s0 s2 s8 s3
s6 s10 s3 s10 s8 s11
s7 s5 s8 s7 s9 s6
s8 s9 s1 s9 s6 s7
s9 s3 s9 s11 s10 s12
s10 s13 s10 s7 s9 s8
s11 s7 s6 s3 s12 s13
s12 s11 s8 s13 s8 s3
s13 s11 s3 s7 s10 s10
If we are in state s7 and the input is d, what state will we be in next? | s9 |
b76d8cc5-b523-4363-8398-ce9cc4779a45 | 9ae38b2b-5b46-4931-8535-c96dff453b3e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcdefgh", "accepting_states": ["s7", "s2", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s5","s1":"s0","s2":"s8","s3":"s4","s4":"s4","s5":"s0","s6":"s0","s7":"s0","s8":"s5","s9":"s2"},"b":{"s0":"s9","s1":"s4","s2":"s1","s3":"s3","s4":"s0","s5":"s8","s6":"s6","s7":"s2","s8":"s0","s9":"s7"},"c":{"s0":"s7","s1":"s0","s2":"s1","s3":"s0","s4":"s4","s5":"s3","s6":"s0","s7":"s1","s8":"s3","s9":"s3"},"d":{"s0":"s4","s1":"s5","s2":"s2","s3":"s9","s4":"s9","s5":"s0","s6":"s6","s7":"s7","s8":"s9","s9":"s2"},"e":{"s0":"s6","s1":"s5","s2":"s1","s3":"s5","s4":"s9","s5":"s8","s6":"s6","s7":"s0","s8":"s1","s9":"s0"},"f":{"s0":"s3","s1":"s4","s2":"s6","s3":"s6","s4":"s5","s5":"s6","s6":"s2","s7":"s5","s8":"s3","s9":"s6"},"g":{"s0":"s5","s1":"s2","s2":"s1","s3":"s3","s4":"s3","s5":"s5","s6":"s5","s7":"s8","s8":"s7","s9":"s6"},"h":{"s0":"s5","s1":"s6","s2":"s0","s3":"s9","s4":"s5","s5":"s7","s6":"s0","s7":"s9","s8":"s9","s9":"s3"}} | Given the following FSM:
a b c d e f g h
s0 s5 s9 s7 s4 s6 s3 s5 s5
s1 s0 s4 s0 s5 s5 s4 s2 s6
s2 s8 s1 s1 s2 s1 s6 s1 s0
s3 s4 s3 s0 s9 s5 s6 s3 s9
s4 s4 s0 s4 s9 s9 s5 s3 s5
s5 s0 s8 s3 s0 s8 s6 s5 s7
s6 s0 s6 s0 s6 s6 s2 s5 s0
s7 s0 s2 s1 s7 s0 s5 s8 s9
s8 s5 s0 s3 s9 s1 s3 s7 s9
s9 s2 s7 s3 s2 s0 s6 s6 s3
If we are in state s2 and the input is h, what state will we be in next? | s0 |
4fa7e5e5-4a80-4eeb-ab29-4eb6feec0e5d | 69223e7c-6366-4a83-8edc-72afd3205a42 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcdefghi", "accepting_states": ["s3", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "i", "toStates": ["s7"]}]} | 5 | {"a":{"s0":"s10","s1":"s3","s2":"s1","s3":"s1","s4":"s6","s5":"s5","s6":"s6","s7":"s0","s8":"s10","s9":"s3","s10":"s1"},"b":{"s0":"s7","s1":"s0","s2":"s0","s3":"s9","s4":"s0","s5":"s9","s6":"s6","s7":"s6","s8":"s8","s9":"s4","s10":"s0"},"c":{"s0":"s7","s1":"s3","s2":"s1","s3":"s1","s4":"s10","s5":"s4","s6":"s2","s7":"s7","s8":"s4","s9":"s5","s10":"s2"},"d":{"s0":"s8","s1":"s4","s2":"s8","s3":"s1","s4":"s3","s5":"s3","s6":"s5","s7":"s2","s8":"s8","s9":"s8","s10":"s8"},"e":{"s0":"s0","s1":"s1","s2":"s3","s3":"s6","s4":"s9","s5":"s3","s6":"s5","s7":"s6","s8":"s0","s9":"s7","s10":"s0"},"f":{"s0":"s1","s1":"s4","s2":"s0","s3":"s2","s4":"s9","s5":"s1","s6":"s7","s7":"s1","s8":"s4","s9":"s10","s10":"s1"},"g":{"s0":"s8","s1":"s4","s2":"s3","s3":"s10","s4":"s9","s5":"s5","s6":"s2","s7":"s5","s8":"s7","s9":"s4","s10":"s7"},"h":{"s0":"s7","s1":"s8","s2":"s10","s3":"s1","s4":"s8","s5":"s3","s6":"s2","s7":"s4","s8":"s6","s9":"s8","s10":"s4"},"i":{"s0":"s0","s1":"s5","s2":"s2","s3":"s2","s4":"s9","s5":"s9","s6":"s6","s7":"s2","s8":"s1","s9":"s3","s10":"s7"}} | Given the following FSM:
a b c d e f g h i
s0 s10 s7 s7 s8 s0 s1 s8 s7 s0
s1 s3 s0 s3 s4 s1 s4 s4 s8 s5
s2 s1 s0 s1 s8 s3 s0 s3 s10 s2
s3 s1 s9 s1 s1 s6 s2 s10 s1 s2
s4 s6 s0 s10 s3 s9 s9 s9 s8 s9
s5 s5 s9 s4 s3 s3 s1 s5 s3 s9
s6 s6 s6 s2 s5 s5 s7 s2 s2 s6
s7 s0 s6 s7 s2 s6 s1 s5 s4 s2
s8 s10 s8 s4 s8 s0 s4 s7 s6 s1
s9 s3 s4 s5 s8 s7 s10 s4 s8 s3
s10 s1 s0 s2 s8 s0 s1 s7 s4 s7
If we are in state s6 and the input is g, what state will we be in next? | s2 |
16ff49ed-c7be-4f3a-9092-b9cc471f5c1b | 7ea733aa-d01c-4d40-80b1-0c97c9ffcdf8 | {"states": ["s0"], "alphabets": "abcdefg", "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"]}]} | 2 | {"a":{"s0":"s0"},"b":{"s0":"s0"},"c":{"s0":"s0"},"d":{"s0":"s0"},"e":{"s0":"s0"},"f":{"s0":"s0"},"g":{"s0":"s0"}} | Given the following FSM:
a b c d e f g
s0 s0 s0 s0 s0 s0 s0 s0
If we are in state s0 and the input is e, what state will we be in next? | s0 |
9f4a2bf1-7fe3-4de2-b1b5-dee69d91da21 | cfdc14c3-02bb-4112-9081-85e17dfaef97 | {"states": ["s0", "s1", "s3", "s4"], "alphabets": "ab", "accepting_states": ["s0", "s3", "s4", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}]} | 2 | {"a":{"s0":"s4","s1":"s3","s3":"s1","s4":"s0"},"b":{"s0":"s0","s1":"s1","s3":"s4","s4":"s3"}} | Given the following FSM:
a b
s0 s4 s0
s1 s3 s1
s3 s1 s4
s4 s0 s3
If we are in state s1 and the input is a, what state will we be in next? | s3 |
590754d4-5728-4e34-8e47-dacd9df92edb | 5e686a2d-8b29-465d-b70c-d111ecce2bc0 | {"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 i, what state will we be in next? | s0 |
b2b0c61c-ed85-45bc-b6d3-a2740ce89905 | 63a792f1-a983-4990-b68a-bbacaee40a3b | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7"], "alphabets": "abcd", "accepting_states": ["s7", "s5", "s3", "s4", "s6", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s3","s1":"s4","s2":"s6","s3":"s1","s4":"s5","s5":"s1","s6":"s3","s7":"s7"},"b":{"s0":"s4","s1":"s5","s2":"s1","s3":"s6","s4":"s4","s5":"s5","s6":"s0","s7":"s0"},"c":{"s0":"s2","s1":"s2","s2":"s0","s3":"s0","s4":"s3","s5":"s5","s6":"s1","s7":"s6"},"d":{"s0":"s0","s1":"s1","s2":"s7","s3":"s7","s4":"s3","s5":"s0","s6":"s3","s7":"s2"}} | Given the following FSM:
a b c d
s0 s3 s4 s2 s0
s1 s4 s5 s2 s1
s2 s6 s1 s0 s7
s3 s1 s6 s0 s7
s4 s5 s4 s3 s3
s5 s1 s5 s5 s0
s6 s3 s0 s1 s3
s7 s7 s0 s6 s2
If we are in state s7 and the input is c, what state will we be in next? | s6 |
d92b89cd-c2f3-41ce-b880-92a0ed984a72 | 83990169-abc0-479d-b360-8e781405eb50 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6"], "alphabets": "abc", "accepting_states": ["s3", "s0", "s4", "s1", "s5", "s2", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s2","s1":"s3","s2":"s0","s3":"s0","s4":"s6","s5":"s0","s6":"s4"},"b":{"s0":"s2","s1":"s5","s2":"s5","s3":"s1","s4":"s0","s5":"s2","s6":"s1"},"c":{"s0":"s3","s1":"s6","s2":"s1","s3":"s5","s4":"s6","s5":"s5","s6":"s4"}} | Given the following FSM:
a b c
s0 s2 s2 s3
s1 s3 s5 s6
s2 s0 s5 s1
s3 s0 s1 s5
s4 s6 s0 s6
s5 s0 s2 s5
s6 s4 s1 s4
If we are in state s1 and the input is b, what state will we be in next? | s5 |
01342cf1-2e52-43dd-a181-ad5b67d3b903 | c8d4e630-38eb-4115-a163-e7d2a10e7cfa | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s5", "s3", "s7", "s6", "s8", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s1","s1":"s3","s2":"s0","s3":"s8","s4":"s7","s5":"s1","s6":"s7","s7":"s2","s8":"s7"},"b":{"s0":"s1","s1":"s6","s2":"s6","s3":"s8","s4":"s3","s5":"s7","s6":"s7","s7":"s7","s8":"s1"},"c":{"s0":"s3","s1":"s0","s2":"s6","s3":"s0","s4":"s0","s5":"s4","s6":"s1","s7":"s8","s8":"s6"},"d":{"s0":"s8","s1":"s7","s2":"s5","s3":"s6","s4":"s0","s5":"s5","s6":"s4","s7":"s1","s8":"s1"},"e":{"s0":"s7","s1":"s5","s2":"s6","s3":"s6","s4":"s7","s5":"s1","s6":"s1","s7":"s8","s8":"s3"},"f":{"s0":"s3","s1":"s1","s2":"s6","s3":"s0","s4":"s0","s5":"s5","s6":"s7","s7":"s0","s8":"s7"},"g":{"s0":"s3","s1":"s0","s2":"s7","s3":"s7","s4":"s2","s5":"s3","s6":"s3","s7":"s8","s8":"s8"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s3 s8 s7 s3 s3
s1 s3 s6 s0 s7 s5 s1 s0
s2 s0 s6 s6 s5 s6 s6 s7
s3 s8 s8 s0 s6 s6 s0 s7
s4 s7 s3 s0 s0 s7 s0 s2
s5 s1 s7 s4 s5 s1 s5 s3
s6 s7 s7 s1 s4 s1 s7 s3
s7 s2 s7 s8 s1 s8 s0 s8
s8 s7 s1 s6 s1 s3 s7 s8
If we are in state s7 and the input is g, what state will we be in next? | s8 |
64c24bb3-aeda-47d6-a25f-f39946eef3da | 21dc6f7c-f936-4d5c-86de-3e6a8eafa164 | {"states": ["s0", "s1", "s2", "s3", "s4"], "alphabets": "abcdefgh", "accepting_states": ["s2", "s0", "s4", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s0","s2":"s1","s3":"s2","s4":"s1"},"b":{"s0":"s4","s1":"s1","s2":"s1","s3":"s2","s4":"s3"},"c":{"s0":"s3","s1":"s1","s2":"s1","s3":"s0","s4":"s4"},"d":{"s0":"s3","s1":"s4","s2":"s1","s3":"s3","s4":"s2"},"e":{"s0":"s2","s1":"s4","s2":"s2","s3":"s4","s4":"s0"},"f":{"s0":"s2","s1":"s2","s2":"s4","s3":"s4","s4":"s0"},"g":{"s0":"s3","s1":"s2","s2":"s0","s3":"s1","s4":"s2"},"h":{"s0":"s4","s1":"s4","s2":"s4","s3":"s1","s4":"s1"}} | Given the following FSM:
a b c d e f g h
s0 s0 s4 s3 s3 s2 s2 s3 s4
s1 s0 s1 s1 s4 s4 s2 s2 s4
s2 s1 s1 s1 s1 s2 s4 s0 s4
s3 s2 s2 s0 s3 s4 s4 s1 s1
s4 s1 s3 s4 s2 s0 s0 s2 s1
If we are in state s0 and the input is c, what state will we be in next? | s3 |
746e75f5-293f-46ce-b796-51c430cb6ee6 | 2c101cbe-c25d-409f-a9ae-0279eb6a042c | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcd", "accepting_states": ["s7", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s0","s1":"s5","s2":"s6","s3":"s2","s4":"s7","s5":"s2","s6":"s1","s7":"s3","s8":"s5"},"b":{"s0":"s5","s1":"s4","s2":"s0","s3":"s8","s4":"s6","s5":"s4","s6":"s1","s7":"s4","s8":"s1"},"c":{"s0":"s6","s1":"s8","s2":"s2","s3":"s7","s4":"s8","s5":"s2","s6":"s3","s7":"s4","s8":"s3"},"d":{"s0":"s5","s1":"s6","s2":"s4","s3":"s4","s4":"s4","s5":"s1","s6":"s4","s7":"s7","s8":"s5"}} | Given the following FSM:
a b c d
s0 s0 s5 s6 s5
s1 s5 s4 s8 s6
s2 s6 s0 s2 s4
s3 s2 s8 s7 s4
s4 s7 s6 s8 s4
s5 s2 s4 s2 s1
s6 s1 s1 s3 s4
s7 s3 s4 s4 s7
s8 s5 s1 s3 s5
If we are in state s1 and the input is d, what state will we be in next? | s6 |
daf2210f-c536-4488-812e-5cfbaf82996c | 92ad9349-9935-4ee2-9268-803eb140b538 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcdefgh", "accepting_states": ["s2", "s0", "s1", "s8", "s5", "s10", "s3", "s9", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s8","s1":"s2","s2":"s10","s3":"s10","s4":"s3","s5":"s5","s6":"s8","s7":"s0","s8":"s5","s9":"s10","s10":"s5"},"b":{"s0":"s5","s1":"s8","s2":"s9","s3":"s7","s4":"s9","s5":"s10","s6":"s2","s7":"s1","s8":"s3","s9":"s4","s10":"s9"},"c":{"s0":"s2","s1":"s3","s2":"s8","s3":"s5","s4":"s5","s5":"s1","s6":"s0","s7":"s7","s8":"s9","s9":"s2","s10":"s9"},"d":{"s0":"s2","s1":"s7","s2":"s8","s3":"s3","s4":"s8","s5":"s6","s6":"s4","s7":"s9","s8":"s4","s9":"s2","s10":"s6"},"e":{"s0":"s2","s1":"s10","s2":"s3","s3":"s7","s4":"s9","s5":"s4","s6":"s8","s7":"s8","s8":"s5","s9":"s8","s10":"s0"},"f":{"s0":"s5","s1":"s4","s2":"s10","s3":"s10","s4":"s7","s5":"s10","s6":"s0","s7":"s4","s8":"s5","s9":"s1","s10":"s6"},"g":{"s0":"s9","s1":"s0","s2":"s4","s3":"s5","s4":"s1","s5":"s5","s6":"s8","s7":"s3","s8":"s4","s9":"s7","s10":"s9"},"h":{"s0":"s5","s1":"s9","s2":"s0","s3":"s2","s4":"s0","s5":"s10","s6":"s2","s7":"s3","s8":"s5","s9":"s9","s10":"s6"}} | Given the following FSM:
a b c d e f g h
s0 s8 s5 s2 s2 s2 s5 s9 s5
s1 s2 s8 s3 s7 s10 s4 s0 s9
s2 s10 s9 s8 s8 s3 s10 s4 s0
s3 s10 s7 s5 s3 s7 s10 s5 s2
s4 s3 s9 s5 s8 s9 s7 s1 s0
s5 s5 s10 s1 s6 s4 s10 s5 s10
s6 s8 s2 s0 s4 s8 s0 s8 s2
s7 s0 s1 s7 s9 s8 s4 s3 s3
s8 s5 s3 s9 s4 s5 s5 s4 s5
s9 s10 s4 s2 s2 s8 s1 s7 s9
s10 s5 s9 s9 s6 s0 s6 s9 s6
If we are in state s6 and the input is c, what state will we be in next? | s0 |
053e6e75-0758-4638-90b2-6afde266ed10 | 0dcefa41-7bd2-4b38-8355-9b588f64f1aa | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12", "s13"], "alphabets": "abcd", "accepting_states": ["s9", "s3", "s10", "s0", "s13", "s6", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s13", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s13", "symbol": "d", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s5","s1":"s1","s2":"s1","s3":"s10","s4":"s8","s5":"s3","s6":"s12","s7":"s1","s8":"s13","s9":"s0","s10":"s1","s11":"s8","s12":"s1","s13":"s7"},"b":{"s0":"s8","s1":"s9","s2":"s7","s3":"s6","s4":"s4","s5":"s8","s6":"s13","s7":"s9","s8":"s4","s9":"s7","s10":"s12","s11":"s7","s12":"s1","s13":"s0"},"c":{"s0":"s2","s1":"s11","s2":"s7","s3":"s3","s4":"s1","s5":"s0","s6":"s12","s7":"s3","s8":"s0","s9":"s7","s10":"s1","s11":"s12","s12":"s8","s13":"s4"},"d":{"s0":"s2","s1":"s1","s2":"s10","s3":"s5","s4":"s5","s5":"s0","s6":"s12","s7":"s13","s8":"s5","s9":"s9","s10":"s6","s11":"s2","s12":"s6","s13":"s6"}} | Given the following FSM:
a b c d
s0 s5 s8 s2 s2
s1 s1 s9 s11 s1
s2 s1 s7 s7 s10
s3 s10 s6 s3 s5
s4 s8 s4 s1 s5
s5 s3 s8 s0 s0
s6 s12 s13 s12 s12
s7 s1 s9 s3 s13
s8 s13 s4 s0 s5
s9 s0 s7 s7 s9
s10 s1 s12 s1 s6
s11 s8 s7 s12 s2
s12 s1 s1 s8 s6
s13 s7 s0 s4 s6
If we are in state s13 and the input is d, what state will we be in next? | s6 |
869dab1e-9896-459d-b5c8-b9f6cb22618e | f7f0dab4-257d-4b8a-87cd-f1cfc4e5179e | {"states": ["s0", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcd", "accepting_states": ["s4", "s0", "s5", "s7", "s6", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s0","s2":"s7","s3":"s5","s4":"s8","s5":"s5","s6":"s2","s7":"s4","s8":"s3"},"b":{"s0":"s8","s2":"s8","s3":"s0","s4":"s4","s5":"s5","s6":"s8","s7":"s3","s8":"s6"},"c":{"s0":"s3","s2":"s7","s3":"s6","s4":"s2","s5":"s7","s6":"s0","s7":"s8","s8":"s0"},"d":{"s0":"s3","s2":"s5","s3":"s4","s4":"s5","s5":"s7","s6":"s8","s7":"s8","s8":"s2"}} | Given the following FSM:
a b c d
s0 s0 s8 s3 s3
s2 s7 s8 s7 s5
s3 s5 s0 s6 s4
s4 s8 s4 s2 s5
s5 s5 s5 s7 s7
s6 s2 s8 s0 s8
s7 s4 s3 s8 s8
s8 s3 s6 s0 s2
If we are in state s4 and the input is c, what state will we be in next? | s2 |
4a6d78a8-ad9e-4e62-a7aa-80a658fea4dd | fce18c0e-505d-424a-a2fe-5d983efc3344 | {"states": ["s0", "s1", "s2", "s3", "s4"], "alphabets": "abcdefgh", "accepting_states": ["s2", "s1", "s0", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s2","s1":"s0","s2":"s2","s3":"s1","s4":"s3"},"b":{"s0":"s0","s1":"s1","s2":"s2","s3":"s3","s4":"s2"},"c":{"s0":"s0","s1":"s2","s2":"s4","s3":"s4","s4":"s0"},"d":{"s0":"s3","s1":"s1","s2":"s4","s3":"s1","s4":"s1"},"e":{"s0":"s2","s1":"s0","s2":"s4","s3":"s2","s4":"s3"},"f":{"s0":"s3","s1":"s4","s2":"s0","s3":"s1","s4":"s2"},"g":{"s0":"s1","s1":"s0","s2":"s0","s3":"s1","s4":"s1"},"h":{"s0":"s2","s1":"s0","s2":"s0","s3":"s1","s4":"s2"}} | Given the following FSM:
a b c d e f g h
s0 s2 s0 s0 s3 s2 s3 s1 s2
s1 s0 s1 s2 s1 s0 s4 s0 s0
s2 s2 s2 s4 s4 s4 s0 s0 s0
s3 s1 s3 s4 s1 s2 s1 s1 s1
s4 s3 s2 s0 s1 s3 s2 s1 s2
If we are in state s3 and the input is e, what state will we be in next? | s2 |
61c41d5f-104b-44ad-84d5-b8c73c0b9e4c | 81c369bb-fd8d-4098-8cd5-0959c9473d2a | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6"], "alphabets": "abcde", "accepting_states": ["s0", "s2", "s4", "s6", "s3", "s1", "s5"], "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": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s3","s1":"s4","s2":"s1","s3":"s2","s4":"s4","s5":"s6","s6":"s3"},"b":{"s0":"s6","s1":"s2","s2":"s3","s3":"s1","s4":"s4","s5":"s5","s6":"s3"},"c":{"s0":"s5","s1":"s3","s2":"s3","s3":"s3","s4":"s5","s5":"s5","s6":"s6"},"d":{"s0":"s4","s1":"s0","s2":"s2","s3":"s3","s4":"s5","s5":"s4","s6":"s2"},"e":{"s0":"s5","s1":"s3","s2":"s5","s3":"s1","s4":"s5","s5":"s1","s6":"s2"}} | Given the following FSM:
a b c d e
s0 s3 s6 s5 s4 s5
s1 s4 s2 s3 s0 s3
s2 s1 s3 s3 s2 s5
s3 s2 s1 s3 s3 s1
s4 s4 s4 s5 s5 s5
s5 s6 s5 s5 s4 s1
s6 s3 s3 s6 s2 s2
If we are in state s2 and the input is d, what state will we be in next? | s2 |
80952d64-44aa-497b-a528-1c263771c3d5 | fb58140e-1ee9-4a37-b9f5-5d80e276f3a2 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6"], "alphabets": "abcde", "accepting_states": ["s4", "s1", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s5","s1":"s3","s2":"s6","s3":"s2","s4":"s4","s5":"s4","s6":"s4"},"b":{"s0":"s0","s1":"s5","s2":"s2","s3":"s1","s4":"s5","s5":"s6","s6":"s1"},"c":{"s0":"s6","s1":"s2","s2":"s5","s3":"s4","s4":"s0","s5":"s1","s6":"s5"},"d":{"s0":"s0","s1":"s5","s2":"s4","s3":"s2","s4":"s4","s5":"s4","s6":"s4"},"e":{"s0":"s1","s1":"s2","s2":"s4","s3":"s3","s4":"s1","s5":"s1","s6":"s2"}} | Given the following FSM:
a b c d e
s0 s5 s0 s6 s0 s1
s1 s3 s5 s2 s5 s2
s2 s6 s2 s5 s4 s4
s3 s2 s1 s4 s2 s3
s4 s4 s5 s0 s4 s1
s5 s4 s6 s1 s4 s1
s6 s4 s1 s5 s4 s2
If we are in state s6 and the input is e, what state will we be in next? | s2 |
3bc1f27a-8386-40f9-8532-d8fbab2a94c7 | 921cc33a-b12a-47ad-8df6-0b606119bce5 | {"states": ["s0"], "alphabets": "abcdefgh", "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"]}]} | 2 | {"a":{"s0":"s0"},"b":{"s0":"s0"},"c":{"s0":"s0"},"d":{"s0":"s0"},"e":{"s0":"s0"},"f":{"s0":"s0"},"g":{"s0":"s0"},"h":{"s0":"s0"}} | Given the following FSM:
a b c d e f g h
s0 s0 s0 s0 s0 s0 s0 s0 s0
If we are in state s0 and the input is c, what state will we be in next? | s0 |
7a7ae9ad-fd3a-44b9-b0de-70587e9ce230 | ff7d6450-4475-4edf-b6b9-ce18ff5d4446 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7"], "alphabets": "abcdefg", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s6","s1":"s1","s2":"s3","s3":"s1","s4":"s3","s5":"s3","s6":"s2","s7":"s3"},"b":{"s0":"s5","s1":"s2","s2":"s0","s3":"s3","s4":"s4","s5":"s1","s6":"s6","s7":"s1"},"c":{"s0":"s7","s1":"s7","s2":"s1","s3":"s2","s4":"s6","s5":"s4","s6":"s3","s7":"s0"},"d":{"s0":"s1","s1":"s4","s2":"s4","s3":"s3","s4":"s7","s5":"s7","s6":"s4","s7":"s1"},"e":{"s0":"s4","s1":"s7","s2":"s0","s3":"s7","s4":"s0","s5":"s2","s6":"s3","s7":"s4"},"f":{"s0":"s1","s1":"s3","s2":"s2","s3":"s0","s4":"s0","s5":"s0","s6":"s5","s7":"s6"},"g":{"s0":"s6","s1":"s0","s2":"s0","s3":"s2","s4":"s3","s5":"s5","s6":"s0","s7":"s3"}} | Given the following FSM:
a b c d e f g
s0 s6 s5 s7 s1 s4 s1 s6
s1 s1 s2 s7 s4 s7 s3 s0
s2 s3 s0 s1 s4 s0 s2 s0
s3 s1 s3 s2 s3 s7 s0 s2
s4 s3 s4 s6 s7 s0 s0 s3
s5 s3 s1 s4 s7 s2 s0 s5
s6 s2 s6 s3 s4 s3 s5 s0
s7 s3 s1 s0 s1 s4 s6 s3
If we are in state s0 and the input is b, what state will we be in next? | s5 |
7630fbb1-12aa-401d-8288-aeea0f4e263a | 4a9b9bc8-c56e-4977-ac4b-74b64aa98234 | {"states": ["s0", "s1"], "alphabets": "abcdefg", "accepting_states": ["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": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "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": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}]} | 2 | {"a":{"s0":"s0","s1":"s1"},"b":{"s0":"s0","s1":"s0"},"c":{"s0":"s0","s1":"s0"},"d":{"s0":"s1","s1":"s0"},"e":{"s0":"s0","s1":"s0"},"f":{"s0":"s0","s1":"s1"},"g":{"s0":"s0","s1":"s1"}} | Given the following FSM:
a b c d e f g
s0 s0 s0 s0 s1 s0 s0 s0
s1 s1 s0 s0 s0 s0 s1 s1
If we are in state s0 and the input is f, what state will we be in next? | s0 |
42694ff8-dab2-42ea-a15b-839be238a17a | c0ce17db-d936-4b70-82d5-32c9f9f87f96 | {"states": ["s0", "s2", "s3", "s4", "s5", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abc", "accepting_states": ["s4", "s0", "s8", "s12", "s3", "s5", "s7", "s11", "s10"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s2"]}]} | 4 | {"a":{"s0":"s4","s2":"s2","s3":"s10","s4":"s8","s5":"s7","s7":"s5","s8":"s3","s9":"s8","s10":"s10","s11":"s4","s12":"s9"},"b":{"s0":"s3","s2":"s12","s3":"s12","s4":"s0","s5":"s11","s7":"s8","s8":"s4","s9":"s3","s10":"s10","s11":"s4","s12":"s9"},"c":{"s0":"s11","s2":"s11","s3":"s11","s4":"s11","s5":"s10","s7":"s5","s8":"s7","s9":"s11","s10":"s12","s11":"s9","s12":"s2"}} | Given the following FSM:
a b c
s0 s4 s3 s11
s2 s2 s12 s11
s3 s10 s12 s11
s4 s8 s0 s11
s5 s7 s11 s10
s7 s5 s8 s5
s8 s3 s4 s7
s9 s8 s3 s11
s10 s10 s10 s12
s11 s4 s4 s9
s12 s9 s9 s2
If we are in state s2 and the input is c, what state will we be in next? | s11 |
6fae40c2-0478-4465-b261-9ca9aab8b3d3 | 14e50d19-49d6-4787-a64b-68942c8d406b | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefghi", "accepting_states": ["s6", "s1", "s3", "s0", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s4","s1":"s1","s2":"s8","s3":"s8","s4":"s0","s5":"s4","s6":"s5","s7":"s4","s8":"s0"},"b":{"s0":"s2","s1":"s5","s2":"s2","s3":"s4","s4":"s4","s5":"s6","s6":"s1","s7":"s1","s8":"s8"},"c":{"s0":"s8","s1":"s8","s2":"s7","s3":"s5","s4":"s4","s5":"s1","s6":"s0","s7":"s5","s8":"s7"},"d":{"s0":"s7","s1":"s1","s2":"s0","s3":"s6","s4":"s4","s5":"s8","s6":"s6","s7":"s4","s8":"s2"},"e":{"s0":"s1","s1":"s5","s2":"s3","s3":"s0","s4":"s7","s5":"s7","s6":"s6","s7":"s4","s8":"s2"},"f":{"s0":"s8","s1":"s1","s2":"s6","s3":"s0","s4":"s2","s5":"s6","s6":"s5","s7":"s3","s8":"s0"},"g":{"s0":"s0","s1":"s1","s2":"s4","s3":"s2","s4":"s7","s5":"s4","s6":"s0","s7":"s8","s8":"s5"},"h":{"s0":"s8","s1":"s3","s2":"s1","s3":"s2","s4":"s6","s5":"s2","s6":"s5","s7":"s5","s8":"s4"},"i":{"s0":"s1","s1":"s4","s2":"s7","s3":"s2","s4":"s6","s5":"s7","s6":"s1","s7":"s3","s8":"s1"}} | Given the following FSM:
a b c d e f g h i
s0 s4 s2 s8 s7 s1 s8 s0 s8 s1
s1 s1 s5 s8 s1 s5 s1 s1 s3 s4
s2 s8 s2 s7 s0 s3 s6 s4 s1 s7
s3 s8 s4 s5 s6 s0 s0 s2 s2 s2
s4 s0 s4 s4 s4 s7 s2 s7 s6 s6
s5 s4 s6 s1 s8 s7 s6 s4 s2 s7
s6 s5 s1 s0 s6 s6 s5 s0 s5 s1
s7 s4 s1 s5 s4 s4 s3 s8 s5 s3
s8 s0 s8 s7 s2 s2 s0 s5 s4 s1
If we are in state s1 and the input is b, what state will we be in next? | s5 |
8bc2817a-21d8-40fa-ba70-2713502d8690 | 18915f2c-63c3-46e8-a5bd-55d6a3a298c3 | {"states": ["s0", "s1", "s2", "s3"], "alphabets": "abcdefg", "accepting_states": ["s1", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"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": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"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": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s2","s1":"s0","s2":"s0","s3":"s0"},"b":{"s0":"s3","s1":"s0","s2":"s1","s3":"s3"},"c":{"s0":"s2","s1":"s0","s2":"s3","s3":"s2"},"d":{"s0":"s3","s1":"s1","s2":"s3","s3":"s3"},"e":{"s0":"s0","s1":"s0","s2":"s3","s3":"s0"},"f":{"s0":"s0","s1":"s2","s2":"s2","s3":"s1"},"g":{"s0":"s0","s1":"s0","s2":"s2","s3":"s2"}} | Given the following FSM:
a b c d e f g
s0 s2 s3 s2 s3 s0 s0 s0
s1 s0 s0 s0 s1 s0 s2 s0
s2 s0 s1 s3 s3 s3 s2 s2
s3 s0 s3 s2 s3 s0 s1 s2
If we are in state s0 and the input is g, what state will we be in next? | s0 |
d6ec28a5-b73c-4661-9535-5fbb77897b0b | c5940e4e-7c7e-4bbc-819a-b19669512a09 | {"states": ["s0", "s2", "s3"], "alphabets": "a", "accepting_states": ["s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s3","s2":"s3","s3":"s2"}} | Given the following FSM:
a
s0 s3
s2 s3
s3 s2
If we are in state s0 and the input is a, what state will we be in next? | s3 |
78649954-886d-4a45-b392-e363a1a07b37 | 5faaa0c4-965e-4d74-aa4e-2e8b1c99140a | {"states": ["s0", "s2", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abc", "accepting_states": ["s4", "s5", "s6", "s2", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}]} | 3 | {"a":{"s0":"s6","s2":"s5","s4":"s7","s5":"s4","s6":"s7","s7":"s4","s8":"s8"},"b":{"s0":"s6","s2":"s6","s4":"s4","s5":"s6","s6":"s6","s7":"s7","s8":"s2"},"c":{"s0":"s4","s2":"s0","s4":"s6","s5":"s4","s6":"s0","s7":"s8","s8":"s8"}} | Given the following FSM:
a b c
s0 s6 s6 s4
s2 s5 s6 s0
s4 s7 s4 s6
s5 s4 s6 s4
s6 s7 s6 s0
s7 s4 s7 s8
s8 s8 s2 s8
If we are in state s5 and the input is b, what state will we be in next? | s6 |
3b9d37a7-4228-44a6-b925-40cc21b9688f | b67a8a88-5861-4de6-ab34-868145afac26 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7"], "alphabets": "abcdefgh", "accepting_states": ["s1", "s5", "s0", "s3", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s4","s1":"s4","s2":"s1","s3":"s1","s4":"s4","s5":"s5","s6":"s6","s7":"s1"},"b":{"s0":"s0","s1":"s6","s2":"s5","s3":"s2","s4":"s5","s5":"s5","s6":"s1","s7":"s5"},"c":{"s0":"s3","s1":"s7","s2":"s5","s3":"s2","s4":"s4","s5":"s7","s6":"s0","s7":"s3"},"d":{"s0":"s5","s1":"s5","s2":"s5","s3":"s7","s4":"s4","s5":"s2","s6":"s0","s7":"s5"},"e":{"s0":"s6","s1":"s4","s2":"s5","s3":"s2","s4":"s6","s5":"s3","s6":"s1","s7":"s7"},"f":{"s0":"s4","s1":"s4","s2":"s6","s3":"s4","s4":"s7","s5":"s4","s6":"s6","s7":"s0"},"g":{"s0":"s7","s1":"s3","s2":"s6","s3":"s1","s4":"s7","s5":"s3","s6":"s3","s7":"s1"},"h":{"s0":"s6","s1":"s4","s2":"s4","s3":"s7","s4":"s5","s5":"s6","s6":"s4","s7":"s4"}} | Given the following FSM:
a b c d e f g h
s0 s4 s0 s3 s5 s6 s4 s7 s6
s1 s4 s6 s7 s5 s4 s4 s3 s4
s2 s1 s5 s5 s5 s5 s6 s6 s4
s3 s1 s2 s2 s7 s2 s4 s1 s7
s4 s4 s5 s4 s4 s6 s7 s7 s5
s5 s5 s5 s7 s2 s3 s4 s3 s6
s6 s6 s1 s0 s0 s1 s6 s3 s4
s7 s1 s5 s3 s5 s7 s0 s1 s4
If we are in state s7 and the input is g, what state will we be in next? | s1 |
f3109d91-02e0-443f-bee7-e9e87323d1de | 6fed20b3-d107-46b6-810a-d73178495de9 | {"states": ["s0", "s1", "s2", "s3", "s4"], "alphabets": "abcdefgh", "accepting_states": ["s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s4","s1":"s0","s2":"s1","s3":"s1","s4":"s0"},"b":{"s0":"s3","s1":"s0","s2":"s2","s3":"s1","s4":"s0"},"c":{"s0":"s3","s1":"s3","s2":"s1","s3":"s3","s4":"s2"},"d":{"s0":"s4","s1":"s3","s2":"s1","s3":"s3","s4":"s0"},"e":{"s0":"s0","s1":"s4","s2":"s1","s3":"s1","s4":"s0"},"f":{"s0":"s1","s1":"s0","s2":"s4","s3":"s0","s4":"s0"},"g":{"s0":"s4","s1":"s2","s2":"s2","s3":"s1","s4":"s4"},"h":{"s0":"s2","s1":"s4","s2":"s4","s3":"s2","s4":"s4"}} | Given the following FSM:
a b c d e f g h
s0 s4 s3 s3 s4 s0 s1 s4 s2
s1 s0 s0 s3 s3 s4 s0 s2 s4
s2 s1 s2 s1 s1 s1 s4 s2 s4
s3 s1 s1 s3 s3 s1 s0 s1 s2
s4 s0 s0 s2 s0 s0 s0 s4 s4
If we are in state s0 and the input is c, what state will we be in next? | s3 |
203d46a8-9c8a-4c60-9dfc-cef867a343f9 | 83639ab4-24cd-4128-8cd3-14cb23222e3b | {"states": ["s0", "s1", "s2", "s3", "s4"], "alphabets": "abcdef", "accepting_states": ["s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"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": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s2","s1":"s2","s2":"s4","s3":"s1","s4":"s1"},"b":{"s0":"s2","s1":"s3","s2":"s1","s3":"s2","s4":"s1"},"c":{"s0":"s0","s1":"s3","s2":"s4","s3":"s0","s4":"s4"},"d":{"s0":"s0","s1":"s3","s2":"s3","s3":"s2","s4":"s0"},"e":{"s0":"s0","s1":"s2","s2":"s0","s3":"s0","s4":"s2"},"f":{"s0":"s1","s1":"s1","s2":"s1","s3":"s3","s4":"s3"}} | Given the following FSM:
a b c d e f
s0 s2 s2 s0 s0 s0 s1
s1 s2 s3 s3 s3 s2 s1
s2 s4 s1 s4 s3 s0 s1
s3 s1 s2 s0 s2 s0 s3
s4 s1 s1 s4 s0 s2 s3
If we are in state s4 and the input is d, what state will we be in next? | s0 |
acca696f-13b3-4b3e-b3a9-d850900bc22f | b9ac0151-ad03-42f0-8c5b-dc08a3e1c686 | {"states": ["s0", "s1", "s2"], "alphabets": "abcde", "accepting_states": ["s1"], "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": ["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": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}]} | 2 | {"a":{"s0":"s1","s1":"s1","s2":"s0"},"b":{"s0":"s2","s1":"s1","s2":"s1"},"c":{"s0":"s0","s1":"s1","s2":"s1"},"d":{"s0":"s2","s1":"s0","s2":"s2"},"e":{"s0":"s1","s1":"s2","s2":"s2"}} | Given the following FSM:
a b c d e
s0 s1 s2 s0 s2 s1
s1 s1 s1 s1 s0 s2
s2 s0 s1 s1 s2 s2
If we are in state s1 and the input is d, what state will we be in next? | s0 |
474938ec-be4a-44b9-920b-1ac987af5feb | 2dad4727-c022-4bca-9626-f72c3ca31b8c | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11"], "alphabets": "abc", "accepting_states": ["s8", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s2","s1":"s8","s2":"s3","s3":"s6","s4":"s2","s5":"s2","s6":"s0","s7":"s6","s8":"s1","s9":"s3","s10":"s8","s11":"s9"},"b":{"s0":"s9","s1":"s7","s2":"s10","s3":"s10","s4":"s0","s5":"s8","s6":"s7","s7":"s7","s8":"s7","s9":"s2","s10":"s5","s11":"s4"},"c":{"s0":"s5","s1":"s0","s2":"s7","s3":"s1","s4":"s0","s5":"s11","s6":"s10","s7":"s9","s8":"s10","s9":"s2","s10":"s11","s11":"s7"}} | Given the following FSM:
a b c
s0 s2 s9 s5
s1 s8 s7 s0
s2 s3 s10 s7
s3 s6 s10 s1
s4 s2 s0 s0
s5 s2 s8 s11
s6 s0 s7 s10
s7 s6 s7 s9
s8 s1 s7 s10
s9 s3 s2 s2
s10 s8 s5 s11
s11 s9 s4 s7
If we are in state s3 and the input is b, what state will we be in next? | s10 |
dd77a07a-4be9-4b2f-8fac-44f9fc84f704 | e2b19823-01d1-4bbd-bb6c-d5ba2e63632b | {"states": ["s0", "s2", "s3", "s5", "s6", "s7", "s8"], "alphabets": "a", "accepting_states": ["s5", "s2", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s6","s2":"s5","s3":"s7","s5":"s8","s6":"s3","s7":"s2","s8":"s2"}} | Given the following FSM:
a
s0 s6
s2 s5
s3 s7
s5 s8
s6 s3
s7 s2
s8 s2
If we are in state s5 and the input is a, what state will we be in next? | s8 |
660b15ca-6a22-44dd-a3ea-6f06a857b4ee | da35f16d-686c-40b5-9bef-8c63468e8e49 | {"states": ["s0", "s1", "s2", "s3"], "alphabets": "abcde", "accepting_states": ["s0", "s2", "s1", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}]} | 2 | {"a":{"s0":"s1","s1":"s0","s2":"s1","s3":"s0"},"b":{"s0":"s3","s1":"s2","s2":"s3","s3":"s3"},"c":{"s0":"s2","s1":"s3","s2":"s3","s3":"s2"},"d":{"s0":"s0","s1":"s1","s2":"s0","s3":"s2"},"e":{"s0":"s1","s1":"s1","s2":"s3","s3":"s2"}} | Given the following FSM:
a b c d e
s0 s1 s3 s2 s0 s1
s1 s0 s2 s3 s1 s1
s2 s1 s3 s3 s0 s3
s3 s0 s3 s2 s2 s2
If we are in state s3 and the input is e, what state will we be in next? | s2 |
badb37fb-3c5d-4dd8-a5af-bfe8caf819d4 | 6f72998a-202c-47d7-902c-ab029c35b87f | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7"], "alphabets": "abcdefghij", "accepting_states": ["s4", "s1", "s5", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "j", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "j", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "j", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "j", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "j", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "j", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "j", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "j", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s1","s1":"s3","s2":"s4","s3":"s4","s4":"s6","s5":"s2","s6":"s5","s7":"s6"},"b":{"s0":"s5","s1":"s3","s2":"s4","s3":"s7","s4":"s7","s5":"s1","s6":"s1","s7":"s5"},"c":{"s0":"s3","s1":"s6","s2":"s5","s3":"s4","s4":"s5","s5":"s5","s6":"s5","s7":"s2"},"d":{"s0":"s4","s1":"s4","s2":"s7","s3":"s3","s4":"s2","s5":"s6","s6":"s5","s7":"s7"},"e":{"s0":"s6","s1":"s2","s2":"s2","s3":"s0","s4":"s6","s5":"s3","s6":"s6","s7":"s2"},"f":{"s0":"s7","s1":"s4","s2":"s1","s3":"s2","s4":"s4","s5":"s6","s6":"s5","s7":"s1"},"g":{"s0":"s0","s1":"s4","s2":"s6","s3":"s3","s4":"s6","s5":"s3","s6":"s3","s7":"s1"},"h":{"s0":"s2","s1":"s1","s2":"s5","s3":"s7","s4":"s5","s5":"s3","s6":"s3","s7":"s0"},"i":{"s0":"s3","s1":"s7","s2":"s2","s3":"s2","s4":"s2","s5":"s6","s6":"s0","s7":"s1"},"j":{"s0":"s6","s1":"s1","s2":"s2","s3":"s5","s4":"s5","s5":"s7","s6":"s0","s7":"s4"}} | Given the following FSM:
a b c d e f g h i j
s0 s1 s5 s3 s4 s6 s7 s0 s2 s3 s6
s1 s3 s3 s6 s4 s2 s4 s4 s1 s7 s1
s2 s4 s4 s5 s7 s2 s1 s6 s5 s2 s2
s3 s4 s7 s4 s3 s0 s2 s3 s7 s2 s5
s4 s6 s7 s5 s2 s6 s4 s6 s5 s2 s5
s5 s2 s1 s5 s6 s3 s6 s3 s3 s6 s7
s6 s5 s1 s5 s5 s6 s5 s3 s3 s0 s0
s7 s6 s5 s2 s7 s2 s1 s1 s0 s1 s4
If we are in state s2 and the input is b, what state will we be in next? | s4 |
7062be88-dddc-44a5-860b-478fde930683 | ffa43a44-0fe8-4dc3-9b89-5ec0f522dc2e | {"states": ["s0", "s1", "s3", "s5", "s6", "s7", "s9"], "alphabets": "ab", "accepting_states": ["s9", "s0", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}]} | 3 | {"a":{"s0":"s9","s1":"s9","s3":"s7","s5":"s6","s6":"s5","s7":"s6","s9":"s3"},"b":{"s0":"s3","s1":"s0","s3":"s6","s5":"s1","s6":"s7","s7":"s3","s9":"s7"}} | Given the following FSM:
a b
s0 s9 s3
s1 s9 s0
s3 s7 s6
s5 s6 s1
s6 s5 s7
s7 s6 s3
s9 s3 s7
If we are in state s5 and the input is a, what state will we be in next? | s6 |
0ec3a658-143b-4862-99da-160d90493f8e | 9dd6b09d-2840-4214-a900-c6a815dc070a | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6"], "alphabets": "abcdefghij", "accepting_states": ["s5", "s2", "s3", "s0", "s1", "s4", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "j", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "j", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "j", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "j", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "j", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "j", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "j", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s6","s1":"s3","s2":"s6","s3":"s6","s4":"s5","s5":"s1","s6":"s6"},"b":{"s0":"s6","s1":"s0","s2":"s2","s3":"s1","s4":"s6","s5":"s1","s6":"s0"},"c":{"s0":"s4","s1":"s4","s2":"s3","s3":"s5","s4":"s4","s5":"s4","s6":"s0"},"d":{"s0":"s2","s1":"s4","s2":"s4","s3":"s5","s4":"s3","s5":"s6","s6":"s4"},"e":{"s0":"s3","s1":"s3","s2":"s4","s3":"s5","s4":"s4","s5":"s3","s6":"s2"},"f":{"s0":"s0","s1":"s0","s2":"s2","s3":"s4","s4":"s2","s5":"s4","s6":"s5"},"g":{"s0":"s4","s1":"s2","s2":"s0","s3":"s4","s4":"s6","s5":"s0","s6":"s1"},"h":{"s0":"s0","s1":"s1","s2":"s5","s3":"s3","s4":"s3","s5":"s1","s6":"s2"},"i":{"s0":"s6","s1":"s1","s2":"s1","s3":"s2","s4":"s6","s5":"s6","s6":"s6"},"j":{"s0":"s2","s1":"s0","s2":"s3","s3":"s1","s4":"s0","s5":"s3","s6":"s6"}} | Given the following FSM:
a b c d e f g h i j
s0 s6 s6 s4 s2 s3 s0 s4 s0 s6 s2
s1 s3 s0 s4 s4 s3 s0 s2 s1 s1 s0
s2 s6 s2 s3 s4 s4 s2 s0 s5 s1 s3
s3 s6 s1 s5 s5 s5 s4 s4 s3 s2 s1
s4 s5 s6 s4 s3 s4 s2 s6 s3 s6 s0
s5 s1 s1 s4 s6 s3 s4 s0 s1 s6 s3
s6 s6 s0 s0 s4 s2 s5 s1 s2 s6 s6
If we are in state s3 and the input is b, what state will we be in next? | s1 |
6d3f540d-aee8-49f6-aa55-e12458299f1e | 7b49af55-762c-4d86-b20e-6772736679b3 | {"states": ["s0", "s1", "s2", "s3"], "alphabets": "ab", "accepting_states": ["s0", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}]} | 2 | {"a":{"s0":"s1","s1":"s3","s2":"s3","s3":"s1"},"b":{"s0":"s0","s1":"s2","s2":"s3","s3":"s1"}} | Given the following FSM:
a b
s0 s1 s0
s1 s3 s2
s2 s3 s3
s3 s1 s1
If we are in state s0 and the input is a, what state will we be in next? | s1 |
fbe141bd-13a4-41f2-be19-d9f9e844d1db | 810d181a-a6fc-49fc-804f-0098bcc948af | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11"], "alphabets": "abcde", "accepting_states": ["s0", "s9", "s7", "s10", "s4", "s6", "s1", "s5", "s11", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s10"]}]} | 4 | {"a":{"s0":"s8","s1":"s6","s2":"s4","s3":"s5","s4":"s10","s5":"s10","s6":"s7","s7":"s2","s8":"s9","s9":"s1","s10":"s6","s11":"s5"},"b":{"s0":"s8","s1":"s1","s2":"s5","s3":"s6","s4":"s1","s5":"s8","s6":"s9","s7":"s3","s8":"s4","s9":"s7","s10":"s8","s11":"s5"},"c":{"s0":"s11","s1":"s5","s2":"s11","s3":"s8","s4":"s6","s5":"s6","s6":"s2","s7":"s2","s8":"s10","s9":"s11","s10":"s5","s11":"s7"},"d":{"s0":"s3","s1":"s2","s2":"s10","s3":"s0","s4":"s4","s5":"s10","s6":"s2","s7":"s10","s8":"s3","s9":"s5","s10":"s8","s11":"s3"},"e":{"s0":"s10","s1":"s7","s2":"s9","s3":"s5","s4":"s0","s5":"s3","s6":"s3","s7":"s2","s8":"s3","s9":"s3","s10":"s4","s11":"s10"}} | Given the following FSM:
a b c d e
s0 s8 s8 s11 s3 s10
s1 s6 s1 s5 s2 s7
s2 s4 s5 s11 s10 s9
s3 s5 s6 s8 s0 s5
s4 s10 s1 s6 s4 s0
s5 s10 s8 s6 s10 s3
s6 s7 s9 s2 s2 s3
s7 s2 s3 s2 s10 s2
s8 s9 s4 s10 s3 s3
s9 s1 s7 s11 s5 s3
s10 s6 s8 s5 s8 s4
s11 s5 s5 s7 s3 s10
If we are in state s10 and the input is a, what state will we be in next? | s6 |
7418f1d6-e373-460d-95f5-fbad8c31058e | 5f491236-d447-445e-a9a6-c9f23c128dff | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12", "s13"], "alphabets": "abcdefgh", "accepting_states": ["s5", "s6", "s7", "s13", "s10", "s12", "s11", "s1", "s0", "s3", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s13"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s12"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s13"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s12"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s12"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s13"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s12", "symbol": "g", "toStates": ["s13"]}, {"fromState": "s12", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s13", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s13", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s13", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s13", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s13", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s13", "symbol": "h", "toStates": ["s0"]}]} | 5 | {"a":{"s0":"s3","s1":"s11","s2":"s2","s3":"s6","s4":"s13","s5":"s4","s6":"s11","s7":"s8","s8":"s0","s9":"s8","s10":"s6","s11":"s10","s12":"s0","s13":"s11"},"b":{"s0":"s7","s1":"s9","s2":"s4","s3":"s8","s4":"s6","s5":"s2","s6":"s5","s7":"s1","s8":"s6","s9":"s1","s10":"s12","s11":"s0","s12":"s0","s13":"s4"},"c":{"s0":"s9","s1":"s3","s2":"s0","s3":"s1","s4":"s0","s5":"s8","s6":"s1","s7":"s8","s8":"s10","s9":"s8","s10":"s10","s11":"s0","s12":"s3","s13":"s10"},"d":{"s0":"s7","s1":"s8","s2":"s2","s3":"s10","s4":"s12","s5":"s11","s6":"s7","s7":"s4","s8":"s8","s9":"s2","s10":"s3","s11":"s9","s12":"s12","s13":"s1"},"e":{"s0":"s7","s1":"s2","s2":"s1","s3":"s9","s4":"s8","s5":"s3","s6":"s7","s7":"s12","s8":"s4","s9":"s8","s10":"s11","s11":"s13","s12":"s5","s13":"s9"},"f":{"s0":"s10","s1":"s2","s2":"s5","s3":"s8","s4":"s0","s5":"s3","s6":"s3","s7":"s2","s8":"s7","s9":"s3","s10":"s0","s11":"s6","s12":"s0","s13":"s6"},"g":{"s0":"s7","s1":"s8","s2":"s5","s3":"s6","s4":"s6","s5":"s7","s6":"s12","s7":"s9","s8":"s8","s9":"s6","s10":"s12","s11":"s4","s12":"s13","s13":"s7"},"h":{"s0":"s10","s1":"s13","s2":"s4","s3":"s0","s4":"s10","s5":"s8","s6":"s13","s7":"s12","s8":"s3","s9":"s6","s10":"s4","s11":"s2","s12":"s6","s13":"s0"}} | Given the following FSM:
a b c d e f g h
s0 s3 s7 s9 s7 s7 s10 s7 s10
s1 s11 s9 s3 s8 s2 s2 s8 s13
s2 s2 s4 s0 s2 s1 s5 s5 s4
s3 s6 s8 s1 s10 s9 s8 s6 s0
s4 s13 s6 s0 s12 s8 s0 s6 s10
s5 s4 s2 s8 s11 s3 s3 s7 s8
s6 s11 s5 s1 s7 s7 s3 s12 s13
s7 s8 s1 s8 s4 s12 s2 s9 s12
s8 s0 s6 s10 s8 s4 s7 s8 s3
s9 s8 s1 s8 s2 s8 s3 s6 s6
s10 s6 s12 s10 s3 s11 s0 s12 s4
s11 s10 s0 s0 s9 s13 s6 s4 s2
s12 s0 s0 s3 s12 s5 s0 s13 s6
s13 s11 s4 s10 s1 s9 s6 s7 s0
If we are in state s9 and the input is d, what state will we be in next? | s2 |
b4d31647-8b36-48b5-aa6c-931cc9f75e0b | d8d350ea-7a7a-4a3e-8944-9974d79ab4b7 | {"states": ["s0", "s1", "s2"], "alphabets": "abcdefgh", "accepting_states": ["s0", "s1", "s2"], "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": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s0"]}]} | 3 | {"a":{"s0":"s0","s1":"s2","s2":"s0"},"b":{"s0":"s1","s1":"s2","s2":"s0"},"c":{"s0":"s1","s1":"s1","s2":"s2"},"d":{"s0":"s2","s1":"s1","s2":"s0"},"e":{"s0":"s1","s1":"s2","s2":"s1"},"f":{"s0":"s0","s1":"s0","s2":"s2"},"g":{"s0":"s2","s1":"s1","s2":"s1"},"h":{"s0":"s1","s1":"s0","s2":"s0"}} | Given the following FSM:
a b c d e f g h
s0 s0 s1 s1 s2 s1 s0 s2 s1
s1 s2 s2 s1 s1 s2 s0 s1 s0
s2 s0 s0 s2 s0 s1 s2 s1 s0
If we are in state s1 and the input is d, what state will we be in next? | s1 |
15386572-bba4-4234-b766-5335bc072e70 | 87c61c27-8e9c-48ef-98ed-7715d860bc8c | {"states": ["s0", "s1", "s2"], "alphabets": "abc", "accepting_states": ["s0", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}]} | 2 | {"a":{"s0":"s2","s1":"s2","s2":"s0"},"b":{"s0":"s1","s1":"s0","s2":"s2"},"c":{"s0":"s1","s1":"s2","s2":"s2"}} | Given the following FSM:
a b c
s0 s2 s1 s1
s1 s2 s0 s2
s2 s0 s2 s2
If we are in state s2 and the input is c, what state will we be in next? | s2 |
b50cb0cc-5fc9-4f33-9ddc-609fe190824d | 4edace63-17fd-40e2-9f29-36d4513401ad | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcde", "accepting_states": ["s1", "s0"], "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": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s10"]}]} | 4 | {"a":{"s0":"s0","s1":"s4","s2":"s8","s3":"s10","s4":"s9","s5":"s2","s6":"s5","s7":"s1","s8":"s4","s9":"s5","s10":"s2"},"b":{"s0":"s1","s1":"s0","s2":"s9","s3":"s9","s4":"s4","s5":"s3","s6":"s2","s7":"s10","s8":"s4","s9":"s9","s10":"s9"},"c":{"s0":"s0","s1":"s10","s2":"s1","s3":"s5","s4":"s8","s5":"s9","s6":"s10","s7":"s6","s8":"s10","s9":"s3","s10":"s2"},"d":{"s0":"s5","s1":"s3","s2":"s5","s3":"s3","s4":"s6","s5":"s8","s6":"s1","s7":"s0","s8":"s8","s9":"s6","s10":"s3"},"e":{"s0":"s10","s1":"s7","s2":"s2","s3":"s9","s4":"s3","s5":"s10","s6":"s10","s7":"s0","s8":"s8","s9":"s8","s10":"s10"}} | Given the following FSM:
a b c d e
s0 s0 s1 s0 s5 s10
s1 s4 s0 s10 s3 s7
s2 s8 s9 s1 s5 s2
s3 s10 s9 s5 s3 s9
s4 s9 s4 s8 s6 s3
s5 s2 s3 s9 s8 s10
s6 s5 s2 s10 s1 s10
s7 s1 s10 s6 s0 s0
s8 s4 s4 s10 s8 s8
s9 s5 s9 s3 s6 s8
s10 s2 s9 s2 s3 s10
If we are in state s4 and the input is b, what state will we be in next? | s4 |
e5994d33-8fdc-44d4-814e-d3e648faa6cf | 59d6d807-b910-45e2-b2a9-f31999a4a3e1 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11"], "alphabets": "abcdefghi", "accepting_states": ["s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "i", "toStates": ["s6"]}]} | 5 | {"a":{"s0":"s11","s1":"s11","s2":"s4","s3":"s3","s4":"s1","s5":"s4","s6":"s7","s7":"s8","s8":"s0","s9":"s2","s10":"s10","s11":"s8"},"b":{"s0":"s8","s1":"s8","s2":"s2","s3":"s9","s4":"s3","s5":"s0","s6":"s0","s7":"s8","s8":"s1","s9":"s8","s10":"s9","s11":"s5"},"c":{"s0":"s2","s1":"s0","s2":"s6","s3":"s6","s4":"s9","s5":"s10","s6":"s3","s7":"s4","s8":"s2","s9":"s9","s10":"s1","s11":"s5"},"d":{"s0":"s0","s1":"s3","s2":"s8","s3":"s8","s4":"s2","s5":"s5","s6":"s11","s7":"s2","s8":"s5","s9":"s7","s10":"s2","s11":"s4"},"e":{"s0":"s9","s1":"s6","s2":"s1","s3":"s8","s4":"s11","s5":"s0","s6":"s1","s7":"s5","s8":"s9","s9":"s8","s10":"s0","s11":"s5"},"f":{"s0":"s6","s1":"s7","s2":"s4","s3":"s1","s4":"s4","s5":"s5","s6":"s0","s7":"s5","s8":"s7","s9":"s7","s10":"s6","s11":"s11"},"g":{"s0":"s0","s1":"s1","s2":"s6","s3":"s9","s4":"s6","s5":"s8","s6":"s0","s7":"s8","s8":"s7","s9":"s5","s10":"s10","s11":"s7"},"h":{"s0":"s8","s1":"s5","s2":"s2","s3":"s4","s4":"s0","s5":"s4","s6":"s6","s7":"s0","s8":"s11","s9":"s9","s10":"s2","s11":"s10"},"i":{"s0":"s7","s1":"s11","s2":"s0","s3":"s10","s4":"s2","s5":"s0","s6":"s7","s7":"s9","s8":"s11","s9":"s3","s10":"s6","s11":"s6"}} | Given the following FSM:
a b c d e f g h i
s0 s11 s8 s2 s0 s9 s6 s0 s8 s7
s1 s11 s8 s0 s3 s6 s7 s1 s5 s11
s2 s4 s2 s6 s8 s1 s4 s6 s2 s0
s3 s3 s9 s6 s8 s8 s1 s9 s4 s10
s4 s1 s3 s9 s2 s11 s4 s6 s0 s2
s5 s4 s0 s10 s5 s0 s5 s8 s4 s0
s6 s7 s0 s3 s11 s1 s0 s0 s6 s7
s7 s8 s8 s4 s2 s5 s5 s8 s0 s9
s8 s0 s1 s2 s5 s9 s7 s7 s11 s11
s9 s2 s8 s9 s7 s8 s7 s5 s9 s3
s10 s10 s9 s1 s2 s0 s6 s10 s2 s6
s11 s8 s5 s5 s4 s5 s11 s7 s10 s6
If we are in state s11 and the input is e, what state will we be in next? | s5 |
2d5c8d01-7f34-4ebc-ab2c-94f6904a5fc2 | c622115c-7e31-4a0d-a37e-c60dbe705afc | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefghi", "accepting_states": ["s1", "s0", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s1","s1":"s2","s2":"s7","s3":"s1","s4":"s7","s5":"s5","s6":"s0","s7":"s0","s8":"s4"},"b":{"s0":"s8","s1":"s2","s2":"s3","s3":"s6","s4":"s7","s5":"s4","s6":"s3","s7":"s1","s8":"s7"},"c":{"s0":"s1","s1":"s7","s2":"s2","s3":"s2","s4":"s7","s5":"s7","s6":"s0","s7":"s1","s8":"s3"},"d":{"s0":"s8","s1":"s7","s2":"s4","s3":"s6","s4":"s3","s5":"s8","s6":"s6","s7":"s8","s8":"s3"},"e":{"s0":"s2","s1":"s8","s2":"s7","s3":"s0","s4":"s8","s5":"s7","s6":"s0","s7":"s2","s8":"s2"},"f":{"s0":"s6","s1":"s5","s2":"s5","s3":"s8","s4":"s7","s5":"s2","s6":"s8","s7":"s0","s8":"s0"},"g":{"s0":"s7","s1":"s4","s2":"s2","s3":"s3","s4":"s4","s5":"s4","s6":"s2","s7":"s2","s8":"s7"},"h":{"s0":"s3","s1":"s2","s2":"s6","s3":"s8","s4":"s7","s5":"s8","s6":"s5","s7":"s1","s8":"s8"},"i":{"s0":"s6","s1":"s5","s2":"s8","s3":"s8","s4":"s3","s5":"s6","s6":"s3","s7":"s3","s8":"s1"}} | Given the following FSM:
a b c d e f g h i
s0 s1 s8 s1 s8 s2 s6 s7 s3 s6
s1 s2 s2 s7 s7 s8 s5 s4 s2 s5
s2 s7 s3 s2 s4 s7 s5 s2 s6 s8
s3 s1 s6 s2 s6 s0 s8 s3 s8 s8
s4 s7 s7 s7 s3 s8 s7 s4 s7 s3
s5 s5 s4 s7 s8 s7 s2 s4 s8 s6
s6 s0 s3 s0 s6 s0 s8 s2 s5 s3
s7 s0 s1 s1 s8 s2 s0 s2 s1 s3
s8 s4 s7 s3 s3 s2 s0 s7 s8 s1
If we are in state s1 and the input is b, what state will we be in next? | s2 |
8fa2cf4f-47fa-40f9-b357-c7461538ac5c | aa7ebeea-32fb-43e8-98f4-28aa92647588 | {"states": ["s0", "s1", "s4"], "alphabets": "a", "accepting_states": ["s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}]} | 2 | {"a":{"s0":"s1","s1":"s4","s4":"s4"}} | Given the following FSM:
a
s0 s1
s1 s4
s4 s4
If we are in state s4 and the input is a, what state will we be in next? | s4 |
24038635-35df-40de-a2a1-6e6c37e36b4b | 22ea1e92-1f57-4388-ad51-af8a9f664fa7 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7"], "alphabets": "abcdefgh", "accepting_states": ["s6", "s2", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s2","s1":"s5","s2":"s1","s3":"s7","s4":"s0","s5":"s2","s6":"s4","s7":"s7"},"b":{"s0":"s5","s1":"s6","s2":"s3","s3":"s1","s4":"s2","s5":"s0","s6":"s6","s7":"s6"},"c":{"s0":"s2","s1":"s0","s2":"s2","s3":"s4","s4":"s6","s5":"s2","s6":"s7","s7":"s0"},"d":{"s0":"s2","s1":"s5","s2":"s2","s3":"s5","s4":"s7","s5":"s7","s6":"s5","s7":"s0"},"e":{"s0":"s1","s1":"s1","s2":"s3","s3":"s2","s4":"s3","s5":"s4","s6":"s5","s7":"s5"},"f":{"s0":"s0","s1":"s5","s2":"s5","s3":"s3","s4":"s6","s5":"s3","s6":"s6","s7":"s1"},"g":{"s0":"s0","s1":"s0","s2":"s4","s3":"s4","s4":"s0","s5":"s2","s6":"s3","s7":"s5"},"h":{"s0":"s5","s1":"s0","s2":"s4","s3":"s7","s4":"s3","s5":"s1","s6":"s6","s7":"s1"}} | Given the following FSM:
a b c d e f g h
s0 s2 s5 s2 s2 s1 s0 s0 s5
s1 s5 s6 s0 s5 s1 s5 s0 s0
s2 s1 s3 s2 s2 s3 s5 s4 s4
s3 s7 s1 s4 s5 s2 s3 s4 s7
s4 s0 s2 s6 s7 s3 s6 s0 s3
s5 s2 s0 s2 s7 s4 s3 s2 s1
s6 s4 s6 s7 s5 s5 s6 s3 s6
s7 s7 s6 s0 s0 s5 s1 s5 s1
If we are in state s7 and the input is g, what state will we be in next? | s5 |
05ac3d6d-b6a2-4736-aaaa-fb83d19d2f76 | 7b661060-95b3-4a1a-9446-916960dd2ce9 | {"states": ["s0", "s1"], "alphabets": "a", "accepting_states": ["s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}]} | 1 | {"a":{"s0":"s1","s1":"s0"}} | Given the following FSM:
a
s0 s1
s1 s0
If we are in state s1 and the input is a, what state will we be in next? | s0 |
70b46901-900c-41ad-bb0e-021bfea3e076 | e690b37d-c015-491a-a114-61fabb32dba3 | {"states": ["s0", "s1", "s2", "s3", "s4"], "alphabets": "abc", "accepting_states": ["s2", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}]} | 2 | {"a":{"s0":"s1","s1":"s3","s2":"s4","s3":"s4","s4":"s0"},"b":{"s0":"s4","s1":"s2","s2":"s4","s3":"s1","s4":"s0"},"c":{"s0":"s0","s1":"s4","s2":"s2","s3":"s4","s4":"s1"}} | Given the following FSM:
a b c
s0 s1 s4 s0
s1 s3 s2 s4
s2 s4 s4 s2
s3 s4 s1 s4
s4 s0 s0 s1
If we are in state s2 and the input is b, what state will we be in next? | s4 |
c262a485-540e-46db-b383-0264ca713f77 | 8cc973e6-181f-49b1-a369-1248caf08ee6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5"], "alphabets": "abcd", "accepting_states": ["s5", "s2", "s4", "s3", "s0", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s5","s1":"s3","s2":"s1","s3":"s2","s4":"s2","s5":"s0"},"b":{"s0":"s2","s1":"s5","s2":"s3","s3":"s5","s4":"s5","s5":"s0"},"c":{"s0":"s0","s1":"s5","s2":"s0","s3":"s0","s4":"s4","s5":"s4"},"d":{"s0":"s4","s1":"s5","s2":"s3","s3":"s3","s4":"s2","s5":"s1"}} | Given the following FSM:
a b c d
s0 s5 s2 s0 s4
s1 s3 s5 s5 s5
s2 s1 s3 s0 s3
s3 s2 s5 s0 s3
s4 s2 s5 s4 s2
s5 s0 s0 s4 s1
If we are in state s1 and the input is d, what state will we be in next? | s5 |
2bba1518-2680-4c76-ae84-153a8bb3f205 | 20982d47-6d9c-439c-a4e0-e344c00b6a1d | {"states": ["s0"], "alphabets": "ab", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}]} | 1 | {"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 a, what state will we be in next? | s0 |
89ca1c15-5005-4904-aafe-82ead299c600 | 305ee463-5118-4299-8ec0-6898333ef8ee | {"states": ["s0", "s1", "s2", "s3"], "alphabets": "abcdefgh", "accepting_states": ["s2"], "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": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"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": "s1", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s0","s1":"s0","s2":"s3","s3":"s2"},"b":{"s0":"s2","s1":"s1","s2":"s3","s3":"s2"},"c":{"s0":"s2","s1":"s2","s2":"s1","s3":"s0"},"d":{"s0":"s1","s1":"s2","s2":"s1","s3":"s3"},"e":{"s0":"s0","s1":"s2","s2":"s1","s3":"s2"},"f":{"s0":"s1","s1":"s3","s2":"s0","s3":"s3"},"g":{"s0":"s0","s1":"s2","s2":"s3","s3":"s2"},"h":{"s0":"s0","s1":"s0","s2":"s3","s3":"s3"}} | Given the following FSM:
a b c d e f g h
s0 s0 s2 s2 s1 s0 s1 s0 s0
s1 s0 s1 s2 s2 s2 s3 s2 s0
s2 s3 s3 s1 s1 s1 s0 s3 s3
s3 s2 s2 s0 s3 s2 s3 s2 s3
If we are in state s0 and the input is g, what state will we be in next? | s0 |
e926234d-b98d-4049-9130-cc77a42a8fcf | 0921e6ac-7459-4b17-b1b5-c135a62bda53 | {"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 |
6f461075-765d-4f28-8370-bc63cfd84846 | 54267a2c-449a-4c7a-9bb6-8e7246c593c7 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcdefg", "accepting_states": ["s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s10"]}]} | 4 | {"a":{"s0":"s3","s1":"s3","s2":"s7","s3":"s7","s4":"s10","s5":"s3","s6":"s10","s7":"s4","s8":"s5","s9":"s6","s10":"s10"},"b":{"s0":"s6","s1":"s2","s2":"s3","s3":"s1","s4":"s8","s5":"s10","s6":"s3","s7":"s8","s8":"s5","s9":"s0","s10":"s2"},"c":{"s0":"s3","s1":"s4","s2":"s1","s3":"s4","s4":"s3","s5":"s5","s6":"s8","s7":"s0","s8":"s5","s9":"s3","s10":"s5"},"d":{"s0":"s6","s1":"s7","s2":"s0","s3":"s1","s4":"s10","s5":"s4","s6":"s6","s7":"s4","s8":"s5","s9":"s3","s10":"s0"},"e":{"s0":"s10","s1":"s2","s2":"s7","s3":"s0","s4":"s10","s5":"s9","s6":"s4","s7":"s10","s8":"s6","s9":"s7","s10":"s0"},"f":{"s0":"s1","s1":"s3","s2":"s9","s3":"s5","s4":"s5","s5":"s6","s6":"s4","s7":"s9","s8":"s2","s9":"s1","s10":"s4"},"g":{"s0":"s9","s1":"s1","s2":"s10","s3":"s5","s4":"s3","s5":"s8","s6":"s9","s7":"s6","s8":"s0","s9":"s5","s10":"s10"}} | Given the following FSM:
a b c d e f g
s0 s3 s6 s3 s6 s10 s1 s9
s1 s3 s2 s4 s7 s2 s3 s1
s2 s7 s3 s1 s0 s7 s9 s10
s3 s7 s1 s4 s1 s0 s5 s5
s4 s10 s8 s3 s10 s10 s5 s3
s5 s3 s10 s5 s4 s9 s6 s8
s6 s10 s3 s8 s6 s4 s4 s9
s7 s4 s8 s0 s4 s10 s9 s6
s8 s5 s5 s5 s5 s6 s2 s0
s9 s6 s0 s3 s3 s7 s1 s5
s10 s10 s2 s5 s0 s0 s4 s10
If we are in state s7 and the input is d, what state will we be in next? | s4 |