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 |
|---|---|---|---|---|---|---|
e2bf7bd2-dff6-48d8-9188-a3a787efc894 | 41140335-b737-4383-ab51-cf33c389999c | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6"], "alphabets": "abc", "accepting_states": ["s3", "s2", "s6", "s5", "s4", "s0", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s1","s1":"s5","s2":"s1","s3":"s2","s4":"s2","s5":"s4","s6":"s2"},"b":{"s0":"s4","s1":"s6","s2":"s0","s3":"s1","s4":"s5","s5":"s0","s6":"s3"},"c":{"s0":"s6","s1":"s6","s2":"s0","s3":"s1","s4":"s2","s5":"s6","s6":"s3"}} | Given the following FSM:
a b c
s0 s1 s4 s6
s1 s5 s6 s6
s2 s1 s0 s0
s3 s2 s1 s1
s4 s2 s5 s2
s5 s4 s0 s6
s6 s2 s3 s3
If we are in state s4 and the input is b, what state will we be in next? | s5 |
22f18c5b-ee2d-4efa-a909-8412485b176e | c4f042a1-9eac-4a94-a5d6-d74b6a861f83 | {"states": ["s0", "s1", "s2"], "alphabets": "abcdefghij", "accepting_states": ["s1", "s0"], "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": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "j", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "j", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"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": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "j", "toStates": ["s0"]}]} | 3 | {"a":{"s0":"s0","s1":"s0","s2":"s2"},"b":{"s0":"s2","s1":"s0","s2":"s2"},"c":{"s0":"s2","s1":"s1","s2":"s1"},"d":{"s0":"s2","s1":"s1","s2":"s1"},"e":{"s0":"s1","s1":"s1","s2":"s1"},"f":{"s0":"s0","s1":"s1","s2":"s2"},"g":{"s0":"s1","s1":"s1","s2":"s1"},"h":{"s0":"s2","s1":"s0","s2":"s1"},"i":{"s0":"s0","s1":"s1","s2":"s2"},"j":{"s0":"s0","s1":"s0","s2":"s0"}} | Given the following FSM:
a b c d e f g h i j
s0 s0 s2 s2 s2 s1 s0 s1 s2 s0 s0
s1 s0 s0 s1 s1 s1 s1 s1 s0 s1 s0
s2 s2 s2 s1 s1 s1 s2 s1 s1 s2 s0
If we are in state s0 and the input is i, what state will we be in next? | s0 |
7c899b80-b62c-4ad4-b7d6-ae66280e32cf | ed15320b-5483-4c41-bc54-4d9f3e2f8b86 | {"states": ["s0", "s1"], "alphabets": "abcdefg", "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": ["s0"]}, {"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": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}]} | 2 | {"a":{"s0":"s0","s1":"s0"},"b":{"s0":"s1","s1":"s0"},"c":{"s0":"s0","s1":"s0"},"d":{"s0":"s0","s1":"s0"},"e":{"s0":"s0","s1":"s1"},"f":{"s0":"s0","s1":"s0"},"g":{"s0":"s0","s1":"s1"}} | Given the following FSM:
a b c d e f g
s0 s0 s1 s0 s0 s0 s0 s0
s1 s0 s0 s0 s0 s1 s0 s1
If we are in state s0 and the input is e, what state will we be in next? | s0 |
2898e7c7-c47b-4eb8-b7a2-c4a2caff1ecd | bad9512e-8dd4-4560-80b2-6ce44f46fb0e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7"], "alphabets": "abcdef", "accepting_states": ["s3", "s5", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s2","s1":"s2","s2":"s0","s3":"s3","s4":"s0","s5":"s1","s6":"s1","s7":"s3"},"b":{"s0":"s7","s1":"s2","s2":"s1","s3":"s4","s4":"s3","s5":"s0","s6":"s0","s7":"s4"},"c":{"s0":"s3","s1":"s1","s2":"s1","s3":"s4","s4":"s1","s5":"s5","s6":"s2","s7":"s4"},"d":{"s0":"s6","s1":"s4","s2":"s4","s3":"s4","s4":"s3","s5":"s4","s6":"s3","s7":"s1"},"e":{"s0":"s5","s1":"s6","s2":"s1","s3":"s6","s4":"s7","s5":"s4","s6":"s0","s7":"s4"},"f":{"s0":"s7","s1":"s7","s2":"s3","s3":"s7","s4":"s2","s5":"s0","s6":"s2","s7":"s5"}} | Given the following FSM:
a b c d e f
s0 s2 s7 s3 s6 s5 s7
s1 s2 s2 s1 s4 s6 s7
s2 s0 s1 s1 s4 s1 s3
s3 s3 s4 s4 s4 s6 s7
s4 s0 s3 s1 s3 s7 s2
s5 s1 s0 s5 s4 s4 s0
s6 s1 s0 s2 s3 s0 s2
s7 s3 s4 s4 s1 s4 s5
If we are in state s7 and the input is b, what state will we be in next? | s4 |
05d110cc-557b-487b-9ce9-a1f66f90f319 | c99e2ebf-d2fe-433c-83ad-d9026cf692e1 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcde", "accepting_states": ["s9", "s3", "s8", "s10", "s6", "s2", "s4", "s5", "s1", "s7", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s2","s1":"s3","s2":"s9","s3":"s4","s4":"s8","s5":"s7","s6":"s5","s7":"s7","s8":"s9","s9":"s2","s10":"s6"},"b":{"s0":"s0","s1":"s1","s2":"s6","s3":"s7","s4":"s2","s5":"s9","s6":"s4","s7":"s4","s8":"s4","s9":"s7","s10":"s4"},"c":{"s0":"s5","s1":"s10","s2":"s1","s3":"s5","s4":"s7","s5":"s9","s6":"s3","s7":"s4","s8":"s5","s9":"s5","s10":"s6"},"d":{"s0":"s3","s1":"s0","s2":"s4","s3":"s9","s4":"s3","s5":"s9","s6":"s1","s7":"s2","s8":"s4","s9":"s8","s10":"s6"},"e":{"s0":"s10","s1":"s10","s2":"s9","s3":"s3","s4":"s1","s5":"s3","s6":"s10","s7":"s8","s8":"s6","s9":"s1","s10":"s1"}} | Given the following FSM:
a b c d e
s0 s2 s0 s5 s3 s10
s1 s3 s1 s10 s0 s10
s2 s9 s6 s1 s4 s9
s3 s4 s7 s5 s9 s3
s4 s8 s2 s7 s3 s1
s5 s7 s9 s9 s9 s3
s6 s5 s4 s3 s1 s10
s7 s7 s4 s4 s2 s8
s8 s9 s4 s5 s4 s6
s9 s2 s7 s5 s8 s1
s10 s6 s4 s6 s6 s1
If we are in state s1 and the input is a, what state will we be in next? | s3 |
436902e8-6bd1-4704-878a-7908847b51a4 | 96be6acc-cd7b-4e2a-8708-efc7936fe9a4 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcdef", "accepting_states": ["s9", "s0", "s2", "s3", "s5", "s7", "s6", "s1", "s10"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s0"]}]} | 4 | {"a":{"s0":"s2","s1":"s2","s2":"s6","s3":"s10","s4":"s6","s5":"s2","s6":"s3","s7":"s3","s8":"s9","s9":"s4","s10":"s0"},"b":{"s0":"s5","s1":"s10","s2":"s7","s3":"s3","s4":"s1","s5":"s8","s6":"s5","s7":"s0","s8":"s8","s9":"s6","s10":"s9"},"c":{"s0":"s4","s1":"s4","s2":"s1","s3":"s9","s4":"s6","s5":"s3","s6":"s8","s7":"s5","s8":"s3","s9":"s2","s10":"s3"},"d":{"s0":"s6","s1":"s0","s2":"s1","s3":"s1","s4":"s1","s5":"s0","s6":"s10","s7":"s0","s8":"s2","s9":"s0","s10":"s7"},"e":{"s0":"s1","s1":"s2","s2":"s1","s3":"s1","s4":"s10","s5":"s2","s6":"s3","s7":"s6","s8":"s4","s9":"s6","s10":"s3"},"f":{"s0":"s3","s1":"s0","s2":"s8","s3":"s5","s4":"s3","s5":"s4","s6":"s10","s7":"s4","s8":"s6","s9":"s1","s10":"s0"}} | Given the following FSM:
a b c d e f
s0 s2 s5 s4 s6 s1 s3
s1 s2 s10 s4 s0 s2 s0
s2 s6 s7 s1 s1 s1 s8
s3 s10 s3 s9 s1 s1 s5
s4 s6 s1 s6 s1 s10 s3
s5 s2 s8 s3 s0 s2 s4
s6 s3 s5 s8 s10 s3 s10
s7 s3 s0 s5 s0 s6 s4
s8 s9 s8 s3 s2 s4 s6
s9 s4 s6 s2 s0 s6 s1
s10 s0 s9 s3 s7 s3 s0
If we are in state s1 and the input is d, what state will we be in next? | s0 |
e7946d26-d45a-49c9-b7da-3296ec6d5a99 | 19cac343-d12f-444c-aade-87cbba3f5342 | {"states": ["s0"], "alphabets": "abcdefghij", "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"]}, {"fromState": "s0", "symbol": "j", "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"},"j":{"s0":"s0"}} | Given the following FSM:
a b c d e f g h i j
s0 s0 s0 s0 s0 s0 s0 s0 s0 s0 s0
If we are in state s0 and the input is f, what state will we be in next? | s0 |
b2e111d0-c464-4725-80ca-d92467a845c4 | e038104d-42f8-44d0-9e2b-e85750ddab36 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcde", "accepting_states": ["s0", "s8", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s0","s1":"s7","s2":"s9","s3":"s6","s4":"s9","s5":"s0","s6":"s7","s7":"s8","s8":"s7","s9":"s2","s10":"s5"},"b":{"s0":"s2","s1":"s5","s2":"s4","s3":"s5","s4":"s1","s5":"s2","s6":"s3","s7":"s0","s8":"s6","s9":"s6","s10":"s0"},"c":{"s0":"s4","s1":"s7","s2":"s8","s3":"s8","s4":"s7","s5":"s2","s6":"s5","s7":"s8","s8":"s1","s9":"s0","s10":"s3"},"d":{"s0":"s3","s1":"s10","s2":"s2","s3":"s3","s4":"s9","s5":"s8","s6":"s1","s7":"s3","s8":"s1","s9":"s6","s10":"s8"},"e":{"s0":"s1","s1":"s4","s2":"s9","s3":"s10","s4":"s0","s5":"s4","s6":"s3","s7":"s1","s8":"s4","s9":"s10","s10":"s3"}} | Given the following FSM:
a b c d e
s0 s0 s2 s4 s3 s1
s1 s7 s5 s7 s10 s4
s2 s9 s4 s8 s2 s9
s3 s6 s5 s8 s3 s10
s4 s9 s1 s7 s9 s0
s5 s0 s2 s2 s8 s4
s6 s7 s3 s5 s1 s3
s7 s8 s0 s8 s3 s1
s8 s7 s6 s1 s1 s4
s9 s2 s6 s0 s6 s10
s10 s5 s0 s3 s8 s3
If we are in state s9 and the input is e, what state will we be in next? | s10 |
384addfe-2035-4396-bd04-23568ea78ff6 | bc3ee67b-84b0-4d2a-afc4-e4ceb9533ca3 | {"states": ["s0", "s1", "s2", "s5"], "alphabets": "a", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s5","s1":"s5","s2":"s1","s5":"s2"}} | Given the following FSM:
a
s0 s5
s1 s5
s2 s1
s5 s2
If we are in state s5 and the input is a, what state will we be in next? | s2 |
8056d392-ce11-49d3-83ea-c7f0724ced11 | 8164473d-8eb6-44ef-8bf3-67fa7a24d146 | {"states": ["s0", "s1"], "alphabets": "abcdefgh", "accepting_states": ["s1", "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": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s0"},"b":{"s0":"s0","s1":"s1"},"c":{"s0":"s1","s1":"s1"},"d":{"s0":"s1","s1":"s0"},"e":{"s0":"s0","s1":"s1"},"f":{"s0":"s1","s1":"s0"},"g":{"s0":"s1","s1":"s0"},"h":{"s0":"s1","s1":"s1"}} | Given the following FSM:
a b c d e f g h
s0 s0 s0 s1 s1 s0 s1 s1 s1
s1 s0 s1 s1 s0 s1 s0 s0 s1
If we are in state s1 and the input is d, what state will we be in next? | s0 |
ac470000-3694-4957-911c-590f35e1d322 | 1a4f4813-5a09-4e37-8b75-2459715de317 | {"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 |
df4d3d35-6166-404f-9607-ecb332fcc488 | 012b4bc5-8ab9-43e6-a872-90156c05c23e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12", "s13"], "alphabets": "abc", "accepting_states": ["s3", "s10", "s7", "s12", "s13", "s0", "s11", "s6", "s9", "s5", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s13"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s13", "symbol": "c", "toStates": ["s10"]}]} | 4 | {"a":{"s0":"s4","s1":"s9","s2":"s2","s3":"s12","s4":"s10","s5":"s12","s6":"s5","s7":"s1","s8":"s3","s9":"s3","s10":"s8","s11":"s3","s12":"s2","s13":"s11"},"b":{"s0":"s1","s1":"s13","s2":"s10","s3":"s12","s4":"s0","s5":"s6","s6":"s0","s7":"s2","s8":"s8","s9":"s7","s10":"s7","s11":"s10","s12":"s0","s13":"s2"},"c":{"s0":"s8","s1":"s6","s2":"s13","s3":"s6","s4":"s11","s5":"s4","s6":"s11","s7":"s1","s8":"s12","s9":"s6","s10":"s7","s11":"s2","s12":"s3","s13":"s10"}} | Given the following FSM:
a b c
s0 s4 s1 s8
s1 s9 s13 s6
s2 s2 s10 s13
s3 s12 s12 s6
s4 s10 s0 s11
s5 s12 s6 s4
s6 s5 s0 s11
s7 s1 s2 s1
s8 s3 s8 s12
s9 s3 s7 s6
s10 s8 s7 s7
s11 s3 s10 s2
s12 s2 s0 s3
s13 s11 s2 s10
If we are in state s13 and the input is c, what state will we be in next? | s10 |
9ca35a70-1b96-4ba0-a5c7-5a755f0cd3c6 | 0c4da274-e7b4-4253-ac28-a28c189f35a7 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5"], "alphabets": "abcdefg", "accepting_states": ["s0", "s5", "s2", "s3", "s1"], "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": "s0", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s3","s1":"s2","s2":"s3","s3":"s0","s4":"s4","s5":"s4"},"b":{"s0":"s4","s1":"s2","s2":"s0","s3":"s3","s4":"s0","s5":"s0"},"c":{"s0":"s2","s1":"s1","s2":"s2","s3":"s4","s4":"s5","s5":"s5"},"d":{"s0":"s0","s1":"s0","s2":"s5","s3":"s4","s4":"s0","s5":"s3"},"e":{"s0":"s3","s1":"s4","s2":"s1","s3":"s1","s4":"s4","s5":"s1"},"f":{"s0":"s4","s1":"s0","s2":"s0","s3":"s1","s4":"s5","s5":"s4"},"g":{"s0":"s5","s1":"s2","s2":"s2","s3":"s1","s4":"s0","s5":"s1"}} | Given the following FSM:
a b c d e f g
s0 s3 s4 s2 s0 s3 s4 s5
s1 s2 s2 s1 s0 s4 s0 s2
s2 s3 s0 s2 s5 s1 s0 s2
s3 s0 s3 s4 s4 s1 s1 s1
s4 s4 s0 s5 s0 s4 s5 s0
s5 s4 s0 s5 s3 s1 s4 s1
If we are in state s4 and the input is f, what state will we be in next? | s5 |
438e79cd-ac0e-4b70-b9c8-bda5866262ed | 30ede4af-a333-453a-b7ba-1c1f53f1cb76 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s3", "s0", "s8", "s4", "s5", "s6", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s5","s1":"s3","s2":"s2","s3":"s1","s4":"s6","s5":"s4","s6":"s7","s7":"s6","s8":"s8"},"b":{"s0":"s8","s1":"s8","s2":"s6","s3":"s4","s4":"s6","s5":"s7","s6":"s5","s7":"s4","s8":"s3"},"c":{"s0":"s7","s1":"s6","s2":"s0","s3":"s3","s4":"s7","s5":"s0","s6":"s6","s7":"s6","s8":"s6"},"d":{"s0":"s3","s1":"s6","s2":"s4","s3":"s8","s4":"s0","s5":"s5","s6":"s0","s7":"s8","s8":"s7"},"e":{"s0":"s5","s1":"s4","s2":"s5","s3":"s4","s4":"s1","s5":"s8","s6":"s5","s7":"s5","s8":"s2"},"f":{"s0":"s4","s1":"s5","s2":"s5","s3":"s4","s4":"s8","s5":"s3","s6":"s7","s7":"s8","s8":"s4"},"g":{"s0":"s6","s1":"s1","s2":"s8","s3":"s6","s4":"s4","s5":"s5","s6":"s5","s7":"s5","s8":"s7"}} | Given the following FSM:
a b c d e f g
s0 s5 s8 s7 s3 s5 s4 s6
s1 s3 s8 s6 s6 s4 s5 s1
s2 s2 s6 s0 s4 s5 s5 s8
s3 s1 s4 s3 s8 s4 s4 s6
s4 s6 s6 s7 s0 s1 s8 s4
s5 s4 s7 s0 s5 s8 s3 s5
s6 s7 s5 s6 s0 s5 s7 s5
s7 s6 s4 s6 s8 s5 s8 s5
s8 s8 s3 s6 s7 s2 s4 s7
If we are in state s4 and the input is a, what state will we be in next? | s6 |
65e89b2a-e578-4cca-8caa-d25cf0c77080 | e7d586e5-44b3-4547-9cff-14dda715b0f5 | {"states": ["s0", "s1"], "alphabets": "abcde", "accepting_states": ["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": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"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": ["s0"]}]} | 2 | {"a":{"s0":"s1","s1":"s1"},"b":{"s0":"s0","s1":"s0"},"c":{"s0":"s1","s1":"s1"},"d":{"s0":"s1","s1":"s0"},"e":{"s0":"s0","s1":"s0"}} | Given the following FSM:
a b c d e
s0 s1 s0 s1 s1 s0
s1 s1 s0 s1 s0 s0
If we are in state s0 and the input is b, what state will we be in next? | s0 |
3b3f9296-80cb-4a4d-aa9e-cd0e0cb3a65d | b96c582f-a695-4ba3-a75a-a6f5d889332b | {"states": ["s0", "s1", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "ab", "accepting_states": ["s7", "s1", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}]} | 3 | {"a":{"s0":"s5","s1":"s1","s3":"s6","s4":"s3","s5":"s8","s6":"s7","s7":"s8","s8":"s8"},"b":{"s0":"s4","s1":"s4","s3":"s8","s4":"s1","s5":"s7","s6":"s7","s7":"s0","s8":"s7"}} | Given the following FSM:
a b
s0 s5 s4
s1 s1 s4
s3 s6 s8
s4 s3 s1
s5 s8 s7
s6 s7 s7
s7 s8 s0
s8 s8 s7
If we are in state s1 and the input is b, what state will we be in next? | s4 |
3e2a6e4a-e26b-418f-b6c0-9fdda0207a46 | 465ca6ee-1a3e-4587-b843-a394f56d179f | {"states": ["s0", "s1", "s2"], "alphabets": "abcde", "accepting_states": ["s0", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["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": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}]} | 2 | {"a":{"s0":"s0","s1":"s0","s2":"s2"},"b":{"s0":"s1","s1":"s1","s2":"s1"},"c":{"s0":"s0","s1":"s0","s2":"s1"},"d":{"s0":"s1","s1":"s1","s2":"s2"},"e":{"s0":"s1","s1":"s2","s2":"s0"}} | Given the following FSM:
a b c d e
s0 s0 s1 s0 s1 s1
s1 s0 s1 s0 s1 s2
s2 s2 s1 s1 s2 s0
If we are in state s1 and the input is b, what state will we be in next? | s1 |
2964daf3-19a5-4808-ac99-1418accfa547 | 7b329c36-7337-483b-b7a4-024d8f0406e5 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abcdefgh", "accepting_states": ["s6", "s10", "s8", "s2", "s7", "s5", "s9", "s1", "s0", "s12"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s12"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s12"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s12", "symbol": "h", "toStates": ["s0"]}]} | 5 | {"a":{"s0":"s12","s1":"s10","s2":"s11","s3":"s10","s4":"s10","s5":"s8","s6":"s10","s7":"s8","s8":"s3","s9":"s9","s10":"s10","s11":"s5","s12":"s0"},"b":{"s0":"s10","s1":"s12","s2":"s10","s3":"s4","s4":"s0","s5":"s10","s6":"s8","s7":"s11","s8":"s2","s9":"s9","s10":"s3","s11":"s9","s12":"s2"},"c":{"s0":"s6","s1":"s9","s2":"s12","s3":"s11","s4":"s10","s5":"s5","s6":"s10","s7":"s6","s8":"s2","s9":"s11","s10":"s5","s11":"s0","s12":"s11"},"d":{"s0":"s5","s1":"s7","s2":"s11","s3":"s1","s4":"s5","s5":"s9","s6":"s2","s7":"s9","s8":"s9","s9":"s10","s10":"s7","s11":"s10","s12":"s2"},"e":{"s0":"s1","s1":"s6","s2":"s6","s3":"s11","s4":"s0","s5":"s3","s6":"s1","s7":"s4","s8":"s12","s9":"s5","s10":"s9","s11":"s10","s12":"s11"},"f":{"s0":"s7","s1":"s8","s2":"s11","s3":"s3","s4":"s8","s5":"s0","s6":"s10","s7":"s11","s8":"s2","s9":"s12","s10":"s9","s11":"s6","s12":"s10"},"g":{"s0":"s2","s1":"s8","s2":"s8","s3":"s10","s4":"s8","s5":"s6","s6":"s4","s7":"s5","s8":"s5","s9":"s5","s10":"s6","s11":"s12","s12":"s7"},"h":{"s0":"s12","s1":"s3","s2":"s1","s3":"s10","s4":"s7","s5":"s1","s6":"s5","s7":"s0","s8":"s10","s9":"s5","s10":"s4","s11":"s6","s12":"s0"}} | Given the following FSM:
a b c d e f g h
s0 s12 s10 s6 s5 s1 s7 s2 s12
s1 s10 s12 s9 s7 s6 s8 s8 s3
s2 s11 s10 s12 s11 s6 s11 s8 s1
s3 s10 s4 s11 s1 s11 s3 s10 s10
s4 s10 s0 s10 s5 s0 s8 s8 s7
s5 s8 s10 s5 s9 s3 s0 s6 s1
s6 s10 s8 s10 s2 s1 s10 s4 s5
s7 s8 s11 s6 s9 s4 s11 s5 s0
s8 s3 s2 s2 s9 s12 s2 s5 s10
s9 s9 s9 s11 s10 s5 s12 s5 s5
s10 s10 s3 s5 s7 s9 s9 s6 s4
s11 s5 s9 s0 s10 s10 s6 s12 s6
s12 s0 s2 s11 s2 s11 s10 s7 s0
If we are in state s2 and the input is h, what state will we be in next? | s1 |
e8f4bdb5-8bc9-436d-b790-5a87fd5f939a | 562cb22b-2e90-436c-99f8-8c2cedc72bc4 | {"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": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "j", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"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": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"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":"s0"},"c":{"s0":"s0","s1":"s1"},"d":{"s0":"s1","s1":"s0"},"e":{"s0":"s0","s1":"s1"},"f":{"s0":"s1","s1":"s0"},"g":{"s0":"s1","s1":"s0"},"h":{"s0":"s1","s1":"s0"},"i":{"s0":"s1","s1":"s1"},"j":{"s0":"s1","s1":"s1"}} | Given the following FSM:
a b c d e f g h i j
s0 s1 s1 s0 s1 s0 s1 s1 s1 s1 s1
s1 s0 s0 s1 s0 s1 s0 s0 s0 s1 s1
If we are in state s0 and the input is f, what state will we be in next? | s1 |
f1c4261b-618c-4bbc-8aa7-84d1687f82f1 | ad3965d6-834e-483b-b992-e117708231eb | {"states": ["s0", "s1", "s2", "s3"], "alphabets": "abcdefg", "accepting_states": ["s0", "s3", "s2", "s1"], "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": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s2","s1":"s3","s2":"s0","s3":"s1"},"b":{"s0":"s3","s1":"s2","s2":"s2","s3":"s1"},"c":{"s0":"s2","s1":"s0","s2":"s0","s3":"s1"},"d":{"s0":"s0","s1":"s3","s2":"s2","s3":"s3"},"e":{"s0":"s3","s1":"s3","s2":"s0","s3":"s1"},"f":{"s0":"s2","s1":"s3","s2":"s1","s3":"s0"},"g":{"s0":"s0","s1":"s1","s2":"s1","s3":"s1"}} | Given the following FSM:
a b c d e f g
s0 s2 s3 s2 s0 s3 s2 s0
s1 s3 s2 s0 s3 s3 s3 s1
s2 s0 s2 s0 s2 s0 s1 s1
s3 s1 s1 s1 s3 s1 s0 s1
If we are in state s2 and the input is e, what state will we be in next? | s0 |
04fa5d24-b9e7-4cc3-9de2-814cf43d5cd5 | 14b9ff57-dc42-42f0-bafa-b37c9e8d3814 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12", "s13", "s14"], "alphabets": "abcdefgh", "accepting_states": ["s2", "s10", "s4", "s9", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s12"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s14"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s14"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s13"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s14"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s12"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s13"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s14"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s13"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s14"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s12", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s13", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s13", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s13", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s13", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s13", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s14", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s14", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s14", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s14", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s14", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s14", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s14", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s14", "symbol": "h", "toStates": ["s3"]}]} | 5 | {"a":{"s0":"s2","s1":"s3","s2":"s8","s3":"s2","s4":"s1","s5":"s8","s6":"s1","s7":"s12","s8":"s11","s9":"s1","s10":"s3","s11":"s9","s12":"s4","s13":"s1","s14":"s9"},"b":{"s0":"s5","s1":"s9","s2":"s7","s3":"s9","s4":"s14","s5":"s8","s6":"s11","s7":"s9","s8":"s11","s9":"s7","s10":"s0","s11":"s0","s12":"s1","s13":"s12","s14":"s0"},"c":{"s0":"s7","s1":"s12","s2":"s4","s3":"s3","s4":"s5","s5":"s8","s6":"s0","s7":"s8","s8":"s1","s9":"s12","s10":"s14","s11":"s6","s12":"s0","s13":"s6","s14":"s1"},"d":{"s0":"s13","s1":"s1","s2":"s8","s3":"s10","s4":"s6","s5":"s8","s6":"s8","s7":"s5","s8":"s9","s9":"s13","s10":"s5","s11":"s13","s12":"s14","s13":"s8","s14":"s10"},"e":{"s0":"s0","s1":"s12","s2":"s9","s3":"s1","s4":"s2","s5":"s12","s6":"s5","s7":"s10","s8":"s2","s9":"s5","s10":"s13","s11":"s6","s12":"s2","s13":"s1","s14":"s3"},"f":{"s0":"s11","s1":"s8","s2":"s14","s3":"s14","s4":"s6","s5":"s3","s6":"s6","s7":"s13","s8":"s7","s9":"s12","s10":"s4","s11":"s4","s12":"s12","s13":"s3","s14":"s5"},"g":{"s0":"s0","s1":"s6","s2":"s4","s3":"s13","s4":"s1","s5":"s11","s6":"s12","s7":"s2","s8":"s1","s9":"s9","s10":"s2","s11":"s10","s12":"s7","s13":"s4","s14":"s10"},"h":{"s0":"s12","s1":"s9","s2":"s5","s3":"s5","s4":"s7","s5":"s5","s6":"s5","s7":"s9","s8":"s4","s9":"s3","s10":"s4","s11":"s6","s12":"s9","s13":"s10","s14":"s3"}} | Given the following FSM:
a b c d e f g h
s0 s2 s5 s7 s13 s0 s11 s0 s12
s1 s3 s9 s12 s1 s12 s8 s6 s9
s2 s8 s7 s4 s8 s9 s14 s4 s5
s3 s2 s9 s3 s10 s1 s14 s13 s5
s4 s1 s14 s5 s6 s2 s6 s1 s7
s5 s8 s8 s8 s8 s12 s3 s11 s5
s6 s1 s11 s0 s8 s5 s6 s12 s5
s7 s12 s9 s8 s5 s10 s13 s2 s9
s8 s11 s11 s1 s9 s2 s7 s1 s4
s9 s1 s7 s12 s13 s5 s12 s9 s3
s10 s3 s0 s14 s5 s13 s4 s2 s4
s11 s9 s0 s6 s13 s6 s4 s10 s6
s12 s4 s1 s0 s14 s2 s12 s7 s9
s13 s1 s12 s6 s8 s1 s3 s4 s10
s14 s9 s0 s1 s10 s3 s5 s10 s3
If we are in state s1 and the input is a, what state will we be in next? | s3 |
05bd2618-e176-48be-880a-42d3da5cc7ea | 2ef99847-43d6-4945-82c9-973dce92b4bb | {"states": ["s0", "s1", "s2"], "alphabets": "abcdef", "accepting_states": ["s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}]} | 2 | {"a":{"s0":"s0","s1":"s1","s2":"s2"},"b":{"s0":"s1","s1":"s2","s2":"s0"},"c":{"s0":"s1","s1":"s0","s2":"s1"},"d":{"s0":"s0","s1":"s1","s2":"s0"},"e":{"s0":"s0","s1":"s2","s2":"s0"},"f":{"s0":"s2","s1":"s1","s2":"s2"}} | Given the following FSM:
a b c d e f
s0 s0 s1 s1 s0 s0 s2
s1 s1 s2 s0 s1 s2 s1
s2 s2 s0 s1 s0 s0 s2
If we are in state s1 and the input is f, what state will we be in next? | s1 |
77067df0-72ad-4772-ac6a-a1a97fc01677 | 9dae23c1-8840-499d-b35d-3cccd0052186 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s9", "s10", "s11", "s12", "s13"], "alphabets": "abc", "accepting_states": ["s3", "s11"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s13", "symbol": "c", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s10","s1":"s13","s2":"s2","s3":"s7","s4":"s3","s5":"s3","s6":"s7","s7":"s4","s9":"s12","s10":"s2","s11":"s2","s12":"s9","s13":"s11"},"b":{"s0":"s9","s1":"s13","s2":"s5","s3":"s3","s4":"s12","s5":"s10","s6":"s11","s7":"s1","s9":"s1","s10":"s0","s11":"s2","s12":"s7","s13":"s2"},"c":{"s0":"s6","s1":"s2","s2":"s1","s3":"s2","s4":"s9","s5":"s3","s6":"s1","s7":"s2","s9":"s9","s10":"s6","s11":"s12","s12":"s10","s13":"s1"}} | Given the following FSM:
a b c
s0 s10 s9 s6
s1 s13 s13 s2
s2 s2 s5 s1
s3 s7 s3 s2
s4 s3 s12 s9
s5 s3 s10 s3
s6 s7 s11 s1
s7 s4 s1 s2
s9 s12 s1 s9
s10 s2 s0 s6
s11 s2 s2 s12
s12 s9 s7 s10
s13 s11 s2 s1
If we are in state s5 and the input is b, what state will we be in next? | s10 |
c8463ea0-1ea5-4992-8edc-964fdeaa4259 | 9b2341a0-d81a-4121-8600-0782aa7453d3 | {"states": ["s0", "s1", "s2", "s3"], "alphabets": "abcdefghi", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s1","s1":"s3","s2":"s1","s3":"s1"},"b":{"s0":"s1","s1":"s3","s2":"s0","s3":"s3"},"c":{"s0":"s2","s1":"s0","s2":"s3","s3":"s0"},"d":{"s0":"s1","s1":"s3","s2":"s0","s3":"s2"},"e":{"s0":"s1","s1":"s2","s2":"s2","s3":"s1"},"f":{"s0":"s2","s1":"s1","s2":"s3","s3":"s0"},"g":{"s0":"s0","s1":"s0","s2":"s2","s3":"s0"},"h":{"s0":"s3","s1":"s0","s2":"s1","s3":"s2"},"i":{"s0":"s3","s1":"s2","s2":"s2","s3":"s3"}} | Given the following FSM:
a b c d e f g h i
s0 s1 s1 s2 s1 s1 s2 s0 s3 s3
s1 s3 s3 s0 s3 s2 s1 s0 s0 s2
s2 s1 s0 s3 s0 s2 s3 s2 s1 s2
s3 s1 s3 s0 s2 s1 s0 s0 s2 s3
If we are in state s1 and the input is f, what state will we be in next? | s1 |
f7762eaf-b7b1-4b7a-9a37-f813ddaed30f | 16d083b8-684a-49f8-be9c-6c1ae61c0818 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcdefghij", "accepting_states": ["s2", "s3", "s1", "s8", "s9", "s7", "s5"], "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": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "j", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "j", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "j", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "j", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "j", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "j", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "j", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "j", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "j", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "j", "toStates": ["s1"]}]} | 5 | {"a":{"s0":"s0","s1":"s1","s2":"s8","s3":"s6","s4":"s4","s5":"s5","s6":"s6","s7":"s2","s8":"s3","s9":"s2"},"b":{"s0":"s4","s1":"s7","s2":"s2","s3":"s6","s4":"s4","s5":"s9","s6":"s7","s7":"s7","s8":"s2","s9":"s4"},"c":{"s0":"s3","s1":"s9","s2":"s4","s3":"s6","s4":"s9","s5":"s2","s6":"s9","s7":"s7","s8":"s7","s9":"s7"},"d":{"s0":"s5","s1":"s0","s2":"s6","s3":"s5","s4":"s0","s5":"s3","s6":"s7","s7":"s7","s8":"s0","s9":"s4"},"e":{"s0":"s0","s1":"s9","s2":"s4","s3":"s5","s4":"s1","s5":"s9","s6":"s9","s7":"s3","s8":"s6","s9":"s9"},"f":{"s0":"s1","s1":"s0","s2":"s3","s3":"s8","s4":"s7","s5":"s8","s6":"s4","s7":"s7","s8":"s4","s9":"s8"},"g":{"s0":"s3","s1":"s2","s2":"s9","s3":"s1","s4":"s3","s5":"s9","s6":"s5","s7":"s9","s8":"s6","s9":"s5"},"h":{"s0":"s1","s1":"s2","s2":"s7","s3":"s5","s4":"s0","s5":"s1","s6":"s1","s7":"s5","s8":"s7","s9":"s6"},"i":{"s0":"s3","s1":"s3","s2":"s4","s3":"s4","s4":"s8","s5":"s5","s6":"s6","s7":"s6","s8":"s3","s9":"s8"},"j":{"s0":"s7","s1":"s5","s2":"s4","s3":"s4","s4":"s9","s5":"s2","s6":"s4","s7":"s8","s8":"s3","s9":"s1"}} | Given the following FSM:
a b c d e f g h i j
s0 s0 s4 s3 s5 s0 s1 s3 s1 s3 s7
s1 s1 s7 s9 s0 s9 s0 s2 s2 s3 s5
s2 s8 s2 s4 s6 s4 s3 s9 s7 s4 s4
s3 s6 s6 s6 s5 s5 s8 s1 s5 s4 s4
s4 s4 s4 s9 s0 s1 s7 s3 s0 s8 s9
s5 s5 s9 s2 s3 s9 s8 s9 s1 s5 s2
s6 s6 s7 s9 s7 s9 s4 s5 s1 s6 s4
s7 s2 s7 s7 s7 s3 s7 s9 s5 s6 s8
s8 s3 s2 s7 s0 s6 s4 s6 s7 s3 s3
s9 s2 s4 s7 s4 s9 s8 s5 s6 s8 s1
If we are in state s7 and the input is j, what state will we be in next? | s8 |
879131a1-a2eb-4996-ae42-dd519a404ace | 1610e1bc-fdff-4780-9e71-4159aa230abd | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s12"], "alphabets": "ab", "accepting_states": ["s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s10"]}]} | 4 | {"a":{"s0":"s9","s1":"s6","s2":"s3","s3":"s12","s4":"s1","s5":"s4","s6":"s3","s7":"s4","s8":"s2","s9":"s5","s10":"s0","s12":"s12"},"b":{"s0":"s8","s1":"s3","s2":"s1","s3":"s7","s4":"s3","s5":"s0","s6":"s0","s7":"s10","s8":"s9","s9":"s7","s10":"s7","s12":"s10"}} | Given the following FSM:
a b
s0 s9 s8
s1 s6 s3
s2 s3 s1
s3 s12 s7
s4 s1 s3
s5 s4 s0
s6 s3 s0
s7 s4 s10
s8 s2 s9
s9 s5 s7
s10 s0 s7
s12 s12 s10
If we are in state s1 and the input is a, what state will we be in next? | s6 |
4031a362-ba67-4608-b289-1db87522de6d | 9858be1a-aec2-4d0b-a037-e2d49147654b | {"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 |
2e136e31-b260-4965-8f55-592ae9d3a35e | 31374c0e-5e88-4465-89f8-c15e4b4384bd | {"states": ["s0", "s1", "s2", "s3"], "alphabets": "abcdefghij", "accepting_states": ["s1", "s3"], "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": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "j", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"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": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}, {"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": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "j", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "j", "toStates": ["s0"]}]} | 3 | {"a":{"s0":"s1","s1":"s2","s2":"s0","s3":"s0"},"b":{"s0":"s2","s1":"s2","s2":"s0","s3":"s1"},"c":{"s0":"s2","s1":"s3","s2":"s1","s3":"s2"},"d":{"s0":"s0","s1":"s1","s2":"s3","s3":"s1"},"e":{"s0":"s3","s1":"s1","s2":"s3","s3":"s0"},"f":{"s0":"s0","s1":"s2","s2":"s3","s3":"s0"},"g":{"s0":"s3","s1":"s1","s2":"s0","s3":"s1"},"h":{"s0":"s1","s1":"s2","s2":"s2","s3":"s1"},"i":{"s0":"s0","s1":"s2","s2":"s0","s3":"s0"},"j":{"s0":"s2","s1":"s0","s2":"s3","s3":"s0"}} | Given the following FSM:
a b c d e f g h i j
s0 s1 s2 s2 s0 s3 s0 s3 s1 s0 s2
s1 s2 s2 s3 s1 s1 s2 s1 s2 s2 s0
s2 s0 s0 s1 s3 s3 s3 s0 s2 s0 s3
s3 s0 s1 s2 s1 s0 s0 s1 s1 s0 s0
If we are in state s2 and the input is d, what state will we be in next? | s3 |
3448835c-b216-4b67-8c6d-e70fc3f881db | c2da02ca-abd1-4bd6-980d-98a60f412f3f | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefghij", "accepting_states": ["s7", "s0", "s1", "s3", "s6", "s4", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "j", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "j", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "j", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "j", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "j", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "j", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "j", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "j", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "j", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s2","s1":"s2","s2":"s2","s3":"s3","s4":"s2","s5":"s0","s6":"s5","s7":"s8","s8":"s4"},"b":{"s0":"s0","s1":"s3","s2":"s7","s3":"s1","s4":"s8","s5":"s3","s6":"s5","s7":"s5","s8":"s6"},"c":{"s0":"s2","s1":"s2","s2":"s5","s3":"s4","s4":"s2","s5":"s0","s6":"s4","s7":"s7","s8":"s0"},"d":{"s0":"s6","s1":"s4","s2":"s4","s3":"s1","s4":"s2","s5":"s6","s6":"s6","s7":"s6","s8":"s7"},"e":{"s0":"s2","s1":"s6","s2":"s0","s3":"s3","s4":"s7","s5":"s1","s6":"s7","s7":"s2","s8":"s5"},"f":{"s0":"s6","s1":"s5","s2":"s7","s3":"s0","s4":"s1","s5":"s2","s6":"s1","s7":"s8","s8":"s5"},"g":{"s0":"s3","s1":"s4","s2":"s1","s3":"s3","s4":"s2","s5":"s8","s6":"s1","s7":"s5","s8":"s6"},"h":{"s0":"s0","s1":"s8","s2":"s8","s3":"s5","s4":"s6","s5":"s7","s6":"s1","s7":"s0","s8":"s8"},"i":{"s0":"s3","s1":"s6","s2":"s8","s3":"s6","s4":"s0","s5":"s0","s6":"s1","s7":"s3","s8":"s0"},"j":{"s0":"s2","s1":"s1","s2":"s1","s3":"s5","s4":"s6","s5":"s2","s6":"s6","s7":"s1","s8":"s8"}} | Given the following FSM:
a b c d e f g h i j
s0 s2 s0 s2 s6 s2 s6 s3 s0 s3 s2
s1 s2 s3 s2 s4 s6 s5 s4 s8 s6 s1
s2 s2 s7 s5 s4 s0 s7 s1 s8 s8 s1
s3 s3 s1 s4 s1 s3 s0 s3 s5 s6 s5
s4 s2 s8 s2 s2 s7 s1 s2 s6 s0 s6
s5 s0 s3 s0 s6 s1 s2 s8 s7 s0 s2
s6 s5 s5 s4 s6 s7 s1 s1 s1 s1 s6
s7 s8 s5 s7 s6 s2 s8 s5 s0 s3 s1
s8 s4 s6 s0 s7 s5 s5 s6 s8 s0 s8
If we are in state s7 and the input is c, what state will we be in next? | s7 |
b11951a9-3cf7-4c60-ae20-919027b1ee63 | ce2af4fa-1c2a-425f-b7be-1f29cfed0125 | {"states": ["s0", "s1", "s2", "s3"], "alphabets": "abcdef", "accepting_states": ["s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s0"]}]} | 3 | {"a":{"s0":"s3","s1":"s0","s2":"s0","s3":"s1"},"b":{"s0":"s1","s1":"s3","s2":"s1","s3":"s1"},"c":{"s0":"s1","s1":"s0","s2":"s0","s3":"s2"},"d":{"s0":"s0","s1":"s3","s2":"s3","s3":"s0"},"e":{"s0":"s3","s1":"s2","s2":"s0","s3":"s2"},"f":{"s0":"s3","s1":"s0","s2":"s0","s3":"s0"}} | Given the following FSM:
a b c d e f
s0 s3 s1 s1 s0 s3 s3
s1 s0 s3 s0 s3 s2 s0
s2 s0 s1 s0 s3 s0 s0
s3 s1 s1 s2 s0 s2 s0
If we are in state s2 and the input is b, what state will we be in next? | s1 |
e34bb4d1-d610-4b2b-85e9-2bb65a75c1eb | 3989fd3f-c4c6-4da4-93e8-318225503e17 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abc", "accepting_states": ["s3", "s9", "s11", "s6", "s8", "s7", "s2", "s10", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s6","s1":"s8","s2":"s1","s3":"s2","s4":"s4","s5":"s8","s6":"s9","s7":"s5","s8":"s3","s9":"s0","s10":"s7","s11":"s9","s12":"s4"},"b":{"s0":"s1","s1":"s7","s2":"s6","s3":"s3","s4":"s0","s5":"s3","s6":"s1","s7":"s7","s8":"s6","s9":"s2","s10":"s1","s11":"s4","s12":"s6"},"c":{"s0":"s5","s1":"s12","s2":"s5","s3":"s9","s4":"s1","s5":"s9","s6":"s11","s7":"s1","s8":"s9","s9":"s8","s10":"s10","s11":"s10","s12":"s8"}} | Given the following FSM:
a b c
s0 s6 s1 s5
s1 s8 s7 s12
s2 s1 s6 s5
s3 s2 s3 s9
s4 s4 s0 s1
s5 s8 s3 s9
s6 s9 s1 s11
s7 s5 s7 s1
s8 s3 s6 s9
s9 s0 s2 s8
s10 s7 s1 s10
s11 s9 s4 s10
s12 s4 s6 s8
If we are in state s0 and the input is c, what state will we be in next? | s5 |
e5993b23-836a-42ca-b398-8c74a47182a7 | b6d1a649-0aea-4682-878a-4b47dae5aee0 | {"states": ["s0", "s1"], "alphabets": "abcd", "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": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}]} | 2 | {"a":{"s0":"s1","s1":"s1"},"b":{"s0":"s0","s1":"s1"},"c":{"s0":"s1","s1":"s1"},"d":{"s0":"s1","s1":"s1"}} | Given the following FSM:
a b c d
s0 s1 s0 s1 s1
s1 s1 s1 s1 s1
If we are in state s1 and the input is b, what state will we be in next? | s1 |
4bd6bb7d-7d6e-4614-a768-1a47d7f3eb5b | 6113d856-d49f-4a6a-8d91-cd38fc4018eb | {"states": ["s0", "s1"], "alphabets": "abcdefg", "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": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}]} | 2 | {"a":{"s0":"s1","s1":"s0"},"b":{"s0":"s1","s1":"s0"},"c":{"s0":"s1","s1":"s0"},"d":{"s0":"s0","s1":"s0"},"e":{"s0":"s1","s1":"s1"},"f":{"s0":"s0","s1":"s1"},"g":{"s0":"s1","s1":"s1"}} | Given the following FSM:
a b c d e f g
s0 s1 s1 s1 s0 s1 s0 s1
s1 s0 s0 s0 s0 s1 s1 s1
If we are in state s0 and the input is c, what state will we be in next? | s1 |
5f036e2e-e634-437b-9e3c-93ac0d3f24d2 | beb70c68-b80a-4987-8bd8-30f8422b6f11 | {"states": ["s0", "s1"], "alphabets": "abcdefg", "accepting_states": ["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": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"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": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}]} | 2 | {"a":{"s0":"s0","s1":"s0"},"b":{"s0":"s1","s1":"s1"},"c":{"s0":"s0","s1":"s0"},"d":{"s0":"s1","s1":"s1"},"e":{"s0":"s1","s1":"s1"},"f":{"s0":"s1","s1":"s0"},"g":{"s0":"s1","s1":"s0"}} | Given the following FSM:
a b c d e f g
s0 s0 s1 s0 s1 s1 s1 s1
s1 s0 s1 s0 s1 s1 s0 s0
If we are in state s1 and the input is d, what state will we be in next? | s1 |
52d94814-4c17-4521-8273-9406ee8ed3e1 | c8842e34-485c-47de-a9c1-66ec596c3953 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5"], "alphabets": "abc", "accepting_states": ["s5", "s1", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s3","s1":"s1","s2":"s2","s3":"s0","s4":"s4","s5":"s5"},"b":{"s0":"s1","s1":"s2","s2":"s5","s3":"s5","s4":"s2","s5":"s2"},"c":{"s0":"s4","s1":"s2","s2":"s3","s3":"s4","s4":"s4","s5":"s5"}} | Given the following FSM:
a b c
s0 s3 s1 s4
s1 s1 s2 s2
s2 s2 s5 s3
s3 s0 s5 s4
s4 s4 s2 s4
s5 s5 s2 s5
If we are in state s2 and the input is a, what state will we be in next? | s2 |
4e4522fe-374a-4907-925d-b5af07d91c12 | a572c048-763a-4474-b16d-cb7e14d0085a | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6"], "alphabets": "abcdefg", "accepting_states": ["s1", "s6", "s2"], "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": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s1","s1":"s3","s2":"s5","s3":"s0","s4":"s1","s5":"s1","s6":"s3"},"b":{"s0":"s3","s1":"s5","s2":"s0","s3":"s5","s4":"s6","s5":"s6","s6":"s0"},"c":{"s0":"s2","s1":"s1","s2":"s1","s3":"s3","s4":"s2","s5":"s1","s6":"s2"},"d":{"s0":"s4","s1":"s6","s2":"s4","s3":"s6","s4":"s3","s5":"s6","s6":"s5"},"e":{"s0":"s6","s1":"s4","s2":"s3","s3":"s4","s4":"s3","s5":"s0","s6":"s1"},"f":{"s0":"s5","s1":"s4","s2":"s5","s3":"s2","s4":"s0","s5":"s1","s6":"s3"},"g":{"s0":"s4","s1":"s2","s2":"s2","s3":"s0","s4":"s1","s5":"s3","s6":"s3"}} | Given the following FSM:
a b c d e f g
s0 s1 s3 s2 s4 s6 s5 s4
s1 s3 s5 s1 s6 s4 s4 s2
s2 s5 s0 s1 s4 s3 s5 s2
s3 s0 s5 s3 s6 s4 s2 s0
s4 s1 s6 s2 s3 s3 s0 s1
s5 s1 s6 s1 s6 s0 s1 s3
s6 s3 s0 s2 s5 s1 s3 s3
If we are in state s6 and the input is g, what state will we be in next? | s3 |
3b578e85-bf4a-4050-a225-69adb53c878a | df70de1b-2ed1-4aaf-b43e-29c1a8c5b52e | {"states": ["s0", "s1", "s2", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abc", "accepting_states": ["s2", "s7", "s0", "s11"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s11","s1":"s9","s2":"s0","s4":"s0","s5":"s7","s6":"s8","s7":"s0","s8":"s1","s9":"s2","s10":"s2","s11":"s1","s12":"s8"},"b":{"s0":"s1","s1":"s9","s2":"s0","s4":"s5","s5":"s11","s6":"s5","s7":"s12","s8":"s8","s9":"s9","s10":"s4","s11":"s8","s12":"s4"},"c":{"s0":"s0","s1":"s4","s2":"s11","s4":"s1","s5":"s10","s6":"s1","s7":"s1","s8":"s7","s9":"s1","s10":"s2","s11":"s6","s12":"s8"}} | Given the following FSM:
a b c
s0 s11 s1 s0
s1 s9 s9 s4
s2 s0 s0 s11
s4 s0 s5 s1
s5 s7 s11 s10
s6 s8 s5 s1
s7 s0 s12 s1
s8 s1 s8 s7
s9 s2 s9 s1
s10 s2 s4 s2
s11 s1 s8 s6
s12 s8 s4 s8
If we are in state s2 and the input is b, what state will we be in next? | s0 |
6fcd7268-033d-453c-b033-37e87ef0437b | 3682e053-0264-4265-ac0c-984359567a63 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcdefgh", "accepting_states": ["s10", "s1", "s9", "s7", "s6", "s4", "s3", "s8", "s2", "s0", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s3"]}, {"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": ["s0"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s4","s1":"s8","s2":"s0","s3":"s1","s4":"s3","s5":"s6","s6":"s7","s7":"s4","s8":"s0","s9":"s6","s10":"s2"},"b":{"s0":"s0","s1":"s1","s2":"s5","s3":"s8","s4":"s6","s5":"s0","s6":"s2","s7":"s9","s8":"s8","s9":"s9","s10":"s0"},"c":{"s0":"s5","s1":"s2","s2":"s4","s3":"s7","s4":"s10","s5":"s0","s6":"s7","s7":"s3","s8":"s5","s9":"s2","s10":"s10"},"d":{"s0":"s2","s1":"s6","s2":"s10","s3":"s8","s4":"s7","s5":"s9","s6":"s5","s7":"s10","s8":"s10","s9":"s3","s10":"s1"},"e":{"s0":"s2","s1":"s8","s2":"s8","s3":"s6","s4":"s9","s5":"s6","s6":"s0","s7":"s5","s8":"s9","s9":"s8","s10":"s4"},"f":{"s0":"s1","s1":"s5","s2":"s3","s3":"s6","s4":"s2","s5":"s10","s6":"s9","s7":"s0","s8":"s10","s9":"s7","s10":"s5"},"g":{"s0":"s0","s1":"s10","s2":"s4","s3":"s10","s4":"s3","s5":"s4","s6":"s6","s7":"s2","s8":"s4","s9":"s8","s10":"s10"},"h":{"s0":"s4","s1":"s6","s2":"s3","s3":"s7","s4":"s2","s5":"s3","s6":"s8","s7":"s2","s8":"s2","s9":"s2","s10":"s9"}} | Given the following FSM:
a b c d e f g h
s0 s4 s0 s5 s2 s2 s1 s0 s4
s1 s8 s1 s2 s6 s8 s5 s10 s6
s2 s0 s5 s4 s10 s8 s3 s4 s3
s3 s1 s8 s7 s8 s6 s6 s10 s7
s4 s3 s6 s10 s7 s9 s2 s3 s2
s5 s6 s0 s0 s9 s6 s10 s4 s3
s6 s7 s2 s7 s5 s0 s9 s6 s8
s7 s4 s9 s3 s10 s5 s0 s2 s2
s8 s0 s8 s5 s10 s9 s10 s4 s2
s9 s6 s9 s2 s3 s8 s7 s8 s2
s10 s2 s0 s10 s1 s4 s5 s10 s9
If we are in state s4 and the input is h, what state will we be in next? | s2 |
a2c4f88f-13fb-4664-b53a-ceb018047338 | ac7a59b7-b3ac-44e1-bb87-53faa01f9471 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcdefghi", "accepting_states": ["s0", "s5", "s3", "s1", "s9", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "i", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s2","s1":"s3","s2":"s3","s3":"s9","s4":"s5","s5":"s4","s6":"s2","s7":"s4","s8":"s0","s9":"s1"},"b":{"s0":"s8","s1":"s5","s2":"s6","s3":"s6","s4":"s0","s5":"s6","s6":"s6","s7":"s2","s8":"s1","s9":"s2"},"c":{"s0":"s3","s1":"s0","s2":"s4","s3":"s2","s4":"s8","s5":"s7","s6":"s1","s7":"s4","s8":"s9","s9":"s4"},"d":{"s0":"s6","s1":"s6","s2":"s9","s3":"s3","s4":"s0","s5":"s3","s6":"s0","s7":"s6","s8":"s4","s9":"s2"},"e":{"s0":"s1","s1":"s2","s2":"s4","s3":"s6","s4":"s3","s5":"s7","s6":"s5","s7":"s1","s8":"s1","s9":"s8"},"f":{"s0":"s5","s1":"s9","s2":"s1","s3":"s6","s4":"s1","s5":"s3","s6":"s4","s7":"s4","s8":"s6","s9":"s6"},"g":{"s0":"s3","s1":"s3","s2":"s0","s3":"s7","s4":"s6","s5":"s9","s6":"s4","s7":"s3","s8":"s5","s9":"s4"},"h":{"s0":"s1","s1":"s9","s2":"s9","s3":"s5","s4":"s3","s5":"s4","s6":"s6","s7":"s0","s8":"s7","s9":"s2"},"i":{"s0":"s2","s1":"s8","s2":"s6","s3":"s5","s4":"s3","s5":"s3","s6":"s8","s7":"s8","s8":"s0","s9":"s6"}} | Given the following FSM:
a b c d e f g h i
s0 s2 s8 s3 s6 s1 s5 s3 s1 s2
s1 s3 s5 s0 s6 s2 s9 s3 s9 s8
s2 s3 s6 s4 s9 s4 s1 s0 s9 s6
s3 s9 s6 s2 s3 s6 s6 s7 s5 s5
s4 s5 s0 s8 s0 s3 s1 s6 s3 s3
s5 s4 s6 s7 s3 s7 s3 s9 s4 s3
s6 s2 s6 s1 s0 s5 s4 s4 s6 s8
s7 s4 s2 s4 s6 s1 s4 s3 s0 s8
s8 s0 s1 s9 s4 s1 s6 s5 s7 s0
s9 s1 s2 s4 s2 s8 s6 s4 s2 s6
If we are in state s0 and the input is h, what state will we be in next? | s1 |
5d8c1868-dd94-47bd-92af-eded711abb59 | d5fb5c5f-6401-48ca-aa9f-dfb9f7ff3848 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6"], "alphabets": "abcdefghij", "accepting_states": ["s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "j", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "j", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "j", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "j", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "j", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "j", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "j", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s1","s1":"s2","s2":"s0","s3":"s3","s4":"s1","s5":"s5","s6":"s0"},"b":{"s0":"s1","s1":"s5","s2":"s2","s3":"s4","s4":"s0","s5":"s0","s6":"s4"},"c":{"s0":"s0","s1":"s2","s2":"s6","s3":"s3","s4":"s5","s5":"s1","s6":"s3"},"d":{"s0":"s1","s1":"s2","s2":"s2","s3":"s2","s4":"s3","s5":"s4","s6":"s4"},"e":{"s0":"s5","s1":"s4","s2":"s3","s3":"s4","s4":"s2","s5":"s3","s6":"s3"},"f":{"s0":"s2","s1":"s4","s2":"s2","s3":"s0","s4":"s0","s5":"s0","s6":"s6"},"g":{"s0":"s3","s1":"s5","s2":"s3","s3":"s6","s4":"s2","s5":"s2","s6":"s4"},"h":{"s0":"s2","s1":"s2","s2":"s6","s3":"s2","s4":"s5","s5":"s5","s6":"s5"},"i":{"s0":"s2","s1":"s5","s2":"s5","s3":"s2","s4":"s3","s5":"s4","s6":"s6"},"j":{"s0":"s2","s1":"s4","s2":"s5","s3":"s5","s4":"s3","s5":"s4","s6":"s1"}} | Given the following FSM:
a b c d e f g h i j
s0 s1 s1 s0 s1 s5 s2 s3 s2 s2 s2
s1 s2 s5 s2 s2 s4 s4 s5 s2 s5 s4
s2 s0 s2 s6 s2 s3 s2 s3 s6 s5 s5
s3 s3 s4 s3 s2 s4 s0 s6 s2 s2 s5
s4 s1 s0 s5 s3 s2 s0 s2 s5 s3 s3
s5 s5 s0 s1 s4 s3 s0 s2 s5 s4 s4
s6 s0 s4 s3 s4 s3 s6 s4 s5 s6 s1
If we are in state s2 and the input is d, what state will we be in next? | s2 |
7ae1671a-1a6e-41dc-91fa-fd645892936b | c877b53f-8a5c-4e9c-8ae6-c5a73a9f26c4 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7"], "alphabets": "abcdefg", "accepting_states": ["s5", "s0", "s7", "s2", "s6", "s3", "s1", "s4"], "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": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"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": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s3","s1":"s5","s2":"s5","s3":"s0","s4":"s2","s5":"s0","s6":"s1","s7":"s4"},"b":{"s0":"s3","s1":"s3","s2":"s2","s3":"s5","s4":"s1","s5":"s6","s6":"s4","s7":"s1"},"c":{"s0":"s3","s1":"s2","s2":"s6","s3":"s4","s4":"s2","s5":"s4","s6":"s6","s7":"s5"},"d":{"s0":"s0","s1":"s0","s2":"s6","s3":"s7","s4":"s0","s5":"s6","s6":"s7","s7":"s4"},"e":{"s0":"s4","s1":"s6","s2":"s6","s3":"s3","s4":"s2","s5":"s1","s6":"s3","s7":"s3"},"f":{"s0":"s7","s1":"s2","s2":"s7","s3":"s7","s4":"s2","s5":"s7","s6":"s6","s7":"s7"},"g":{"s0":"s6","s1":"s0","s2":"s5","s3":"s3","s4":"s6","s5":"s2","s6":"s3","s7":"s3"}} | Given the following FSM:
a b c d e f g
s0 s3 s3 s3 s0 s4 s7 s6
s1 s5 s3 s2 s0 s6 s2 s0
s2 s5 s2 s6 s6 s6 s7 s5
s3 s0 s5 s4 s7 s3 s7 s3
s4 s2 s1 s2 s0 s2 s2 s6
s5 s0 s6 s4 s6 s1 s7 s2
s6 s1 s4 s6 s7 s3 s6 s3
s7 s4 s1 s5 s4 s3 s7 s3
If we are in state s5 and the input is e, what state will we be in next? | s1 |
f6946326-d2e0-45c4-80cc-85f76f100301 | 0090d289-f6af-41cb-be15-e1bd45a89a5f | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abcdefgh", "accepting_states": ["s3", "s1", "s11", "s0", "s12", "s4", "s8", "s7", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s12"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s12"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s12"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "g", "toStates": ["s11"]}, {"fromState": "s12", "symbol": "h", "toStates": ["s9"]}]} | 5 | {"a":{"s0":"s3","s1":"s10","s2":"s9","s3":"s6","s4":"s4","s5":"s9","s6":"s11","s7":"s2","s8":"s2","s9":"s10","s10":"s3","s11":"s1","s12":"s2"},"b":{"s0":"s4","s1":"s7","s2":"s6","s3":"s1","s4":"s0","s5":"s11","s6":"s6","s7":"s10","s8":"s7","s9":"s3","s10":"s1","s11":"s9","s12":"s4"},"c":{"s0":"s1","s1":"s10","s2":"s3","s3":"s4","s4":"s7","s5":"s0","s6":"s1","s7":"s12","s8":"s11","s9":"s12","s10":"s5","s11":"s2","s12":"s12"},"d":{"s0":"s0","s1":"s3","s2":"s0","s3":"s2","s4":"s3","s5":"s4","s6":"s7","s7":"s1","s8":"s0","s9":"s6","s10":"s9","s11":"s7","s12":"s6"},"e":{"s0":"s12","s1":"s3","s2":"s12","s3":"s6","s4":"s12","s5":"s10","s6":"s12","s7":"s7","s8":"s10","s9":"s1","s10":"s8","s11":"s5","s12":"s10"},"f":{"s0":"s4","s1":"s2","s2":"s8","s3":"s10","s4":"s2","s5":"s3","s6":"s1","s7":"s6","s8":"s11","s9":"s7","s10":"s10","s11":"s4","s12":"s1"},"g":{"s0":"s4","s1":"s5","s2":"s5","s3":"s12","s4":"s4","s5":"s10","s6":"s2","s7":"s10","s8":"s8","s9":"s9","s10":"s2","s11":"s12","s12":"s11"},"h":{"s0":"s5","s1":"s0","s2":"s3","s3":"s5","s4":"s0","s5":"s3","s6":"s4","s7":"s12","s8":"s0","s9":"s0","s10":"s1","s11":"s8","s12":"s9"}} | Given the following FSM:
a b c d e f g h
s0 s3 s4 s1 s0 s12 s4 s4 s5
s1 s10 s7 s10 s3 s3 s2 s5 s0
s2 s9 s6 s3 s0 s12 s8 s5 s3
s3 s6 s1 s4 s2 s6 s10 s12 s5
s4 s4 s0 s7 s3 s12 s2 s4 s0
s5 s9 s11 s0 s4 s10 s3 s10 s3
s6 s11 s6 s1 s7 s12 s1 s2 s4
s7 s2 s10 s12 s1 s7 s6 s10 s12
s8 s2 s7 s11 s0 s10 s11 s8 s0
s9 s10 s3 s12 s6 s1 s7 s9 s0
s10 s3 s1 s5 s9 s8 s10 s2 s1
s11 s1 s9 s2 s7 s5 s4 s12 s8
s12 s2 s4 s12 s6 s10 s1 s11 s9
If we are in state s10 and the input is f, what state will we be in next? | s10 |
d35a5dca-6abf-4f1a-999b-6c2124c6aa01 | 02d4c910-92fe-44cf-a79c-2dfba0a2b53f | {"states": ["s0", "s1", "s2", "s4", "s5"], "alphabets": "ab", "accepting_states": ["s2", "s0", "s5", "s4", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}]} | 2 | {"a":{"s0":"s5","s1":"s4","s2":"s5","s4":"s2","s5":"s4"},"b":{"s0":"s4","s1":"s4","s2":"s4","s4":"s1","s5":"s5"}} | Given the following FSM:
a b
s0 s5 s4
s1 s4 s4
s2 s5 s4
s4 s2 s1
s5 s4 s5
If we are in state s1 and the input is a, what state will we be in next? | s4 |
7b140d62-bcc6-4df2-9be7-37ce7a37b883 | 441b2388-d9d8-46dd-b139-add8fa91681a | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcde", "accepting_states": ["s3", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s0"]}]} | 4 | {"a":{"s0":"s7","s1":"s9","s2":"s2","s3":"s6","s4":"s2","s5":"s7","s6":"s7","s7":"s6","s8":"s9","s9":"s1"},"b":{"s0":"s9","s1":"s5","s2":"s0","s3":"s4","s4":"s4","s5":"s1","s6":"s6","s7":"s7","s8":"s6","s9":"s7"},"c":{"s0":"s4","s1":"s7","s2":"s7","s3":"s0","s4":"s1","s5":"s0","s6":"s8","s7":"s1","s8":"s4","s9":"s0"},"d":{"s0":"s0","s1":"s6","s2":"s1","s3":"s7","s4":"s8","s5":"s1","s6":"s9","s7":"s6","s8":"s8","s9":"s1"},"e":{"s0":"s9","s1":"s1","s2":"s0","s3":"s1","s4":"s8","s5":"s8","s6":"s3","s7":"s9","s8":"s0","s9":"s0"}} | Given the following FSM:
a b c d e
s0 s7 s9 s4 s0 s9
s1 s9 s5 s7 s6 s1
s2 s2 s0 s7 s1 s0
s3 s6 s4 s0 s7 s1
s4 s2 s4 s1 s8 s8
s5 s7 s1 s0 s1 s8
s6 s7 s6 s8 s9 s3
s7 s6 s7 s1 s6 s9
s8 s9 s6 s4 s8 s0
s9 s1 s7 s0 s1 s0
If we are in state s5 and the input is e, what state will we be in next? | s8 |
c3f0e0be-1eeb-454e-acbd-c7082e1caf5d | 44ff3225-f608-43be-aab9-d10b425fb590 | {"states": ["s0", "s2"], "alphabets": "ab", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}]} | 2 | {"a":{"s0":"s0","s2":"s0"},"b":{"s0":"s2","s2":"s2"}} | Given the following FSM:
a b
s0 s0 s2
s2 s0 s2
If we are in state s0 and the input is b, what state will we be in next? | s2 |
78eaf414-da9c-479f-b041-ef122cb45107 | 87f1b4ba-1f8c-4204-96af-c5eb00e0d81f | {"states": ["s0", "s1", "s2", "s4"], "alphabets": "ab", "accepting_states": ["s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}]} | 2 | {"a":{"s0":"s1","s1":"s0","s2":"s1","s4":"s2"},"b":{"s0":"s4","s1":"s1","s2":"s2","s4":"s2"}} | Given the following FSM:
a b
s0 s1 s4
s1 s0 s1
s2 s1 s2
s4 s2 s2
If we are in state s4 and the input is a, what state will we be in next? | s2 |
ce06cdac-b158-45f9-84d7-4408eb43ccbf | a4181834-8b81-4002-b64d-7d45023c5347 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7"], "alphabets": "abcdefghi", "accepting_states": ["s5", "s4", "s3", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s7","s1":"s5","s2":"s0","s3":"s2","s4":"s3","s5":"s4","s6":"s2","s7":"s3"},"b":{"s0":"s0","s1":"s4","s2":"s6","s3":"s2","s4":"s3","s5":"s7","s6":"s1","s7":"s6"},"c":{"s0":"s7","s1":"s0","s2":"s1","s3":"s3","s4":"s4","s5":"s7","s6":"s2","s7":"s2"},"d":{"s0":"s3","s1":"s3","s2":"s1","s3":"s5","s4":"s2","s5":"s7","s6":"s6","s7":"s2"},"e":{"s0":"s5","s1":"s1","s2":"s3","s3":"s2","s4":"s5","s5":"s1","s6":"s4","s7":"s1"},"f":{"s0":"s1","s1":"s2","s2":"s1","s3":"s7","s4":"s2","s5":"s2","s6":"s2","s7":"s5"},"g":{"s0":"s0","s1":"s4","s2":"s5","s3":"s3","s4":"s6","s5":"s2","s6":"s3","s7":"s3"},"h":{"s0":"s3","s1":"s2","s2":"s5","s3":"s5","s4":"s2","s5":"s0","s6":"s1","s7":"s0"},"i":{"s0":"s3","s1":"s7","s2":"s3","s3":"s2","s4":"s0","s5":"s1","s6":"s5","s7":"s4"}} | Given the following FSM:
a b c d e f g h i
s0 s7 s0 s7 s3 s5 s1 s0 s3 s3
s1 s5 s4 s0 s3 s1 s2 s4 s2 s7
s2 s0 s6 s1 s1 s3 s1 s5 s5 s3
s3 s2 s2 s3 s5 s2 s7 s3 s5 s2
s4 s3 s3 s4 s2 s5 s2 s6 s2 s0
s5 s4 s7 s7 s7 s1 s2 s2 s0 s1
s6 s2 s1 s2 s6 s4 s2 s3 s1 s5
s7 s3 s6 s2 s2 s1 s5 s3 s0 s4
If we are in state s0 and the input is b, what state will we be in next? | s0 |
fc56164d-1e07-4ed6-9851-da02aa416b3a | 2f74c81b-de2d-4e87-b48b-3157950e419b | {"states": ["s0", "s1", "s2"], "alphabets": "abcdef", "accepting_states": ["s2", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"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": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s1"]}]} | 2 | {"a":{"s0":"s0","s1":"s0","s2":"s2"},"b":{"s0":"s2","s1":"s0","s2":"s1"},"c":{"s0":"s1","s1":"s0","s2":"s0"},"d":{"s0":"s1","s1":"s0","s2":"s1"},"e":{"s0":"s0","s1":"s0","s2":"s1"},"f":{"s0":"s1","s1":"s1","s2":"s1"}} | Given the following FSM:
a b c d e f
s0 s0 s2 s1 s1 s0 s1
s1 s0 s0 s0 s0 s0 s1
s2 s2 s1 s0 s1 s1 s1
If we are in state s2 and the input is c, what state will we be in next? | s0 |
4808fe80-5897-4605-954e-9a9c374e1e80 | 92c4b427-18a6-41c3-b106-7c70e3692500 | {"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 |
84c44ba2-ad8f-4965-b287-db911dd12ce9 | 511e3812-913e-4dd7-ac23-e349058ce205 | {"states": ["s0", "s1"], "alphabets": "abcdefghi", "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": "s1", "symbol": "a", "toStates": ["s0"]}, {"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"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s0"]}]} | 3 | {"a":{"s0":"s1","s1":"s0"},"b":{"s0":"s1","s1":"s0"},"c":{"s0":"s1","s1":"s0"},"d":{"s0":"s0","s1":"s0"},"e":{"s0":"s1","s1":"s0"},"f":{"s0":"s1","s1":"s1"},"g":{"s0":"s1","s1":"s1"},"h":{"s0":"s1","s1":"s0"},"i":{"s0":"s0","s1":"s0"}} | Given the following FSM:
a b c d e f g h i
s0 s1 s1 s1 s0 s1 s1 s1 s1 s0
s1 s0 s0 s0 s0 s0 s1 s1 s0 s0
If we are in state s1 and the input is e, what state will we be in next? | s0 |
f8fd2151-c3f5-4a87-976d-ebaad11d18f9 | 3f7d4299-ed04-4677-a94c-a3a8b10769a0 | {"states": ["s0", "s1", "s2", "s5", "s6"], "alphabets": "ab", "accepting_states": ["s5", "s6", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s1","s1":"s6","s2":"s2","s5":"s6","s6":"s5"},"b":{"s0":"s1","s1":"s5","s2":"s6","s5":"s6","s6":"s2"}} | Given the following FSM:
a b
s0 s1 s1
s1 s6 s5
s2 s2 s6
s5 s6 s6
s6 s5 s2
If we are in state s1 and the input is a, what state will we be in next? | s6 |
9f2029f1-63c7-471d-bbe0-837216c0be7b | 088b6da6-871a-4d04-969d-efdafe2f172d | {"states": ["s0", "s1", "s2"], "alphabets": "abcd", "accepting_states": ["s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}]} | 2 | {"a":{"s0":"s1","s1":"s2","s2":"s0"},"b":{"s0":"s1","s1":"s1","s2":"s1"},"c":{"s0":"s0","s1":"s0","s2":"s2"},"d":{"s0":"s2","s1":"s2","s2":"s0"}} | Given the following FSM:
a b c d
s0 s1 s1 s0 s2
s1 s2 s1 s0 s2
s2 s0 s1 s2 s0
If we are in state s2 and the input is b, what state will we be in next? | s1 |
203074c0-4773-478a-a2f2-6c44a81a9ff8 | 3bc1992a-94c4-49f7-9811-a12965b683b1 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6"], "alphabets": "abcdefghij", "accepting_states": ["s3", "s5", "s1", "s4", "s0", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "j", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "j", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "j", "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": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "j", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "j", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "j", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "j", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s1","s1":"s5","s2":"s1","s3":"s4","s4":"s5","s5":"s4","s6":"s1"},"b":{"s0":"s5","s1":"s3","s2":"s0","s3":"s1","s4":"s6","s5":"s0","s6":"s2"},"c":{"s0":"s4","s1":"s4","s2":"s4","s3":"s2","s4":"s2","s5":"s0","s6":"s2"},"d":{"s0":"s5","s1":"s5","s2":"s2","s3":"s4","s4":"s0","s5":"s5","s6":"s0"},"e":{"s0":"s2","s1":"s3","s2":"s3","s3":"s1","s4":"s6","s5":"s4","s6":"s6"},"f":{"s0":"s3","s1":"s3","s2":"s6","s3":"s4","s4":"s5","s5":"s3","s6":"s2"},"g":{"s0":"s5","s1":"s4","s2":"s1","s3":"s6","s4":"s2","s5":"s1","s6":"s3"},"h":{"s0":"s6","s1":"s5","s2":"s3","s3":"s2","s4":"s6","s5":"s0","s6":"s6"},"i":{"s0":"s5","s1":"s2","s2":"s1","s3":"s6","s4":"s6","s5":"s3","s6":"s3"},"j":{"s0":"s1","s1":"s0","s2":"s0","s3":"s6","s4":"s2","s5":"s5","s6":"s4"}} | Given the following FSM:
a b c d e f g h i j
s0 s1 s5 s4 s5 s2 s3 s5 s6 s5 s1
s1 s5 s3 s4 s5 s3 s3 s4 s5 s2 s0
s2 s1 s0 s4 s2 s3 s6 s1 s3 s1 s0
s3 s4 s1 s2 s4 s1 s4 s6 s2 s6 s6
s4 s5 s6 s2 s0 s6 s5 s2 s6 s6 s2
s5 s4 s0 s0 s5 s4 s3 s1 s0 s3 s5
s6 s1 s2 s2 s0 s6 s2 s3 s6 s3 s4
If we are in state s3 and the input is b, what state will we be in next? | s1 |
67924f8d-9058-47c7-9f4b-3b755ceb00be | b95feab2-fccc-466b-9f04-7b7e2cb5e6b5 | {"states": ["s0", "s1", "s2", "s3", "s4"], "alphabets": "abcd", "accepting_states": ["s2", "s1", "s3", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "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": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}]} | 2 | {"a":{"s0":"s2","s1":"s0","s2":"s1","s3":"s0","s4":"s0"},"b":{"s0":"s4","s1":"s3","s2":"s4","s3":"s4","s4":"s1"},"c":{"s0":"s4","s1":"s4","s2":"s4","s3":"s1","s4":"s0"},"d":{"s0":"s0","s1":"s3","s2":"s1","s3":"s3","s4":"s2"}} | Given the following FSM:
a b c d
s0 s2 s4 s4 s0
s1 s0 s3 s4 s3
s2 s1 s4 s4 s1
s3 s0 s4 s1 s3
s4 s0 s1 s0 s2
If we are in state s4 and the input is c, what state will we be in next? | s0 |
da9ae341-c8bc-4bd5-8f7e-afa48cd46768 | 0d09dcbd-f63c-4a38-a65c-ac716d918750 | {"states": ["s0", "s1", "s2", "s3", "s4"], "alphabets": "abcdef", "accepting_states": ["s4"], "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": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"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": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s0","s1":"s0","s2":"s0","s3":"s2","s4":"s1"},"b":{"s0":"s0","s1":"s0","s2":"s3","s3":"s4","s4":"s0"},"c":{"s0":"s0","s1":"s0","s2":"s4","s3":"s1","s4":"s1"},"d":{"s0":"s0","s1":"s1","s2":"s4","s3":"s3","s4":"s4"},"e":{"s0":"s1","s1":"s0","s2":"s0","s3":"s4","s4":"s2"},"f":{"s0":"s2","s1":"s0","s2":"s2","s3":"s3","s4":"s2"}} | Given the following FSM:
a b c d e f
s0 s0 s0 s0 s0 s1 s2
s1 s0 s0 s0 s1 s0 s0
s2 s0 s3 s4 s4 s0 s2
s3 s2 s4 s1 s3 s4 s3
s4 s1 s0 s1 s4 s2 s2
If we are in state s1 and the input is b, what state will we be in next? | s0 |
ee49f6e4-a590-45ba-8f4c-86bc55d50ffa | e63bbb69-932a-4526-b291-71a923e654dd | {"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 a, what state will we be in next? | s0 |
eab4bbc1-5e92-4cb4-9ce9-664932c2769e | 22ea789f-890d-4455-b025-6a9f9d5ae10e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcdefg", "accepting_states": ["s3", "s6", "s2", "s9", "s1", "s7", "s8", "s0", "s4", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"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": ["s9"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s2","s1":"s6","s2":"s2","s3":"s3","s4":"s3","s5":"s9","s6":"s6","s7":"s1","s8":"s8","s9":"s7"},"b":{"s0":"s6","s1":"s1","s2":"s3","s3":"s4","s4":"s2","s5":"s2","s6":"s1","s7":"s5","s8":"s5","s9":"s5"},"c":{"s0":"s5","s1":"s3","s2":"s8","s3":"s0","s4":"s0","s5":"s3","s6":"s4","s7":"s6","s8":"s9","s9":"s0"},"d":{"s0":"s8","s1":"s7","s2":"s3","s3":"s2","s4":"s6","s5":"s7","s6":"s8","s7":"s0","s8":"s3","s9":"s4"},"e":{"s0":"s8","s1":"s9","s2":"s3","s3":"s1","s4":"s6","s5":"s8","s6":"s0","s7":"s8","s8":"s7","s9":"s0"},"f":{"s0":"s1","s1":"s6","s2":"s2","s3":"s9","s4":"s3","s5":"s9","s6":"s8","s7":"s9","s8":"s9","s9":"s5"},"g":{"s0":"s0","s1":"s0","s2":"s0","s3":"s8","s4":"s5","s5":"s9","s6":"s5","s7":"s6","s8":"s0","s9":"s9"}} | Given the following FSM:
a b c d e f g
s0 s2 s6 s5 s8 s8 s1 s0
s1 s6 s1 s3 s7 s9 s6 s0
s2 s2 s3 s8 s3 s3 s2 s0
s3 s3 s4 s0 s2 s1 s9 s8
s4 s3 s2 s0 s6 s6 s3 s5
s5 s9 s2 s3 s7 s8 s9 s9
s6 s6 s1 s4 s8 s0 s8 s5
s7 s1 s5 s6 s0 s8 s9 s6
s8 s8 s5 s9 s3 s7 s9 s0
s9 s7 s5 s0 s4 s0 s5 s9
If we are in state s3 and the input is b, what state will we be in next? | s4 |
964e0a83-655a-40a4-a18c-9b8116348fc9 | 7ffe27c3-b0e1-4880-a15a-61471a4a010b | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6"], "alphabets": "abcde", "accepting_states": ["s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s3","s1":"s6","s2":"s4","s3":"s4","s4":"s0","s5":"s3","s6":"s6"},"b":{"s0":"s2","s1":"s4","s2":"s3","s3":"s4","s4":"s3","s5":"s2","s6":"s2"},"c":{"s0":"s6","s1":"s2","s2":"s3","s3":"s4","s4":"s1","s5":"s4","s6":"s5"},"d":{"s0":"s3","s1":"s4","s2":"s1","s3":"s1","s4":"s1","s5":"s3","s6":"s6"},"e":{"s0":"s3","s1":"s6","s2":"s4","s3":"s3","s4":"s0","s5":"s5","s6":"s1"}} | Given the following FSM:
a b c d e
s0 s3 s2 s6 s3 s3
s1 s6 s4 s2 s4 s6
s2 s4 s3 s3 s1 s4
s3 s4 s4 s4 s1 s3
s4 s0 s3 s1 s1 s0
s5 s3 s2 s4 s3 s5
s6 s6 s2 s5 s6 s1
If we are in state s0 and the input is c, what state will we be in next? | s6 |
e91418bc-b848-4ee0-9dee-64bfa0ec1ed2 | bf15ee3d-b45f-43f6-b11d-09413e1aa635 | {"states": ["s0", "s13"], "alphabets": "a", "accepting_states": ["s0", "s13"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s0"]}]} | 4 | {"a":{"s0":"s13","s13":"s0"}} | Given the following FSM:
a
s0 s13
s13 s0
If we are in state s13 and the input is a, what state will we be in next? | s0 |
c415f83a-3b26-4568-b596-7657ff62dcaa | 583f2d8a-160d-4ea8-830b-ec1548cec488 | {"states": ["s0", "s1", "s2", "s3", "s4"], "alphabets": "abcd", "accepting_states": ["s0", "s4", "s1", "s2", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}]} | 2 | {"a":{"s0":"s4","s1":"s1","s2":"s3","s3":"s4","s4":"s2"},"b":{"s0":"s2","s1":"s1","s2":"s1","s3":"s3","s4":"s1"},"c":{"s0":"s0","s1":"s0","s2":"s3","s3":"s1","s4":"s4"},"d":{"s0":"s1","s1":"s3","s2":"s1","s3":"s0","s4":"s0"}} | Given the following FSM:
a b c d
s0 s4 s2 s0 s1
s1 s1 s1 s0 s3
s2 s3 s1 s3 s1
s3 s4 s3 s1 s0
s4 s2 s1 s4 s0
If we are in state s0 and the input is c, what state will we be in next? | s0 |
4a6cf2df-ffa7-4732-a739-3f1d278d730a | 3a6392a3-50cc-4263-a693-74833fa31033 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s5", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}]} | 3 | {"a":{"s0":"s2","s1":"s6","s2":"s8","s3":"s3","s4":"s1","s5":"s8","s6":"s8","s7":"s6","s8":"s6"},"b":{"s0":"s0","s1":"s7","s2":"s4","s3":"s5","s4":"s3","s5":"s3","s6":"s6","s7":"s8","s8":"s0"},"c":{"s0":"s2","s1":"s8","s2":"s3","s3":"s0","s4":"s8","s5":"s2","s6":"s2","s7":"s8","s8":"s3"},"d":{"s0":"s0","s1":"s2","s2":"s1","s3":"s5","s4":"s6","s5":"s2","s6":"s6","s7":"s8","s8":"s6"},"e":{"s0":"s5","s1":"s7","s2":"s3","s3":"s7","s4":"s8","s5":"s6","s6":"s6","s7":"s7","s8":"s8"}} | Given the following FSM:
a b c d e
s0 s2 s0 s2 s0 s5
s1 s6 s7 s8 s2 s7
s2 s8 s4 s3 s1 s3
s3 s3 s5 s0 s5 s7
s4 s1 s3 s8 s6 s8
s5 s8 s3 s2 s2 s6
s6 s8 s6 s2 s6 s6
s7 s6 s8 s8 s8 s7
s8 s6 s0 s3 s6 s8
If we are in state s1 and the input is b, what state will we be in next? | s7 |
3544a7a0-04aa-4d5e-89bd-21ed2e042634 | 99358f79-5f1c-4c1d-acb4-ff8e09b02083 | {"states": ["s0", "s1", "s2", "s3", "s4"], "alphabets": "abcdef", "accepting_states": ["s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s3","s1":"s1","s2":"s1","s3":"s1","s4":"s4"},"b":{"s0":"s1","s1":"s0","s2":"s1","s3":"s4","s4":"s0"},"c":{"s0":"s2","s1":"s3","s2":"s2","s3":"s3","s4":"s0"},"d":{"s0":"s1","s1":"s0","s2":"s3","s3":"s4","s4":"s0"},"e":{"s0":"s2","s1":"s4","s2":"s0","s3":"s0","s4":"s3"},"f":{"s0":"s1","s1":"s1","s2":"s2","s3":"s0","s4":"s2"}} | Given the following FSM:
a b c d e f
s0 s3 s1 s2 s1 s2 s1
s1 s1 s0 s3 s0 s4 s1
s2 s1 s1 s2 s3 s0 s2
s3 s1 s4 s3 s4 s0 s0
s4 s4 s0 s0 s0 s3 s2
If we are in state s3 and the input is c, what state will we be in next? | s3 |
75794330-fa93-4aee-9faf-2c54efd2bd39 | 91ce6b36-2224-43b8-8903-e61c28b48d44 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5"], "alphabets": "abcdefgh", "accepting_states": ["s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s3","s1":"s5","s2":"s1","s3":"s0","s4":"s0","s5":"s3"},"b":{"s0":"s4","s1":"s2","s2":"s4","s3":"s5","s4":"s3","s5":"s5"},"c":{"s0":"s3","s1":"s2","s2":"s0","s3":"s5","s4":"s3","s5":"s0"},"d":{"s0":"s5","s1":"s5","s2":"s4","s3":"s5","s4":"s2","s5":"s3"},"e":{"s0":"s3","s1":"s2","s2":"s3","s3":"s3","s4":"s3","s5":"s3"},"f":{"s0":"s2","s1":"s4","s2":"s0","s3":"s5","s4":"s4","s5":"s5"},"g":{"s0":"s2","s1":"s3","s2":"s5","s3":"s0","s4":"s4","s5":"s4"},"h":{"s0":"s2","s1":"s5","s2":"s1","s3":"s1","s4":"s3","s5":"s2"}} | Given the following FSM:
a b c d e f g h
s0 s3 s4 s3 s5 s3 s2 s2 s2
s1 s5 s2 s2 s5 s2 s4 s3 s5
s2 s1 s4 s0 s4 s3 s0 s5 s1
s3 s0 s5 s5 s5 s3 s5 s0 s1
s4 s0 s3 s3 s2 s3 s4 s4 s3
s5 s3 s5 s0 s3 s3 s5 s4 s2
If we are in state s4 and the input is h, what state will we be in next? | s3 |
99587f0b-516a-4078-b034-d5596fc781ba | 7728f843-1593-4688-a780-de7cd538882b | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12", "s13"], "alphabets": "abcdefg", "accepting_states": ["s0", "s3", "s5", "s11"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s13"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s13"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s13"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s13"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s13"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s13", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s13", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s13", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s13", "symbol": "g", "toStates": ["s10"]}]} | 5 | {"a":{"s0":"s6","s1":"s6","s2":"s4","s3":"s1","s4":"s10","s5":"s3","s6":"s10","s7":"s10","s8":"s0","s9":"s10","s10":"s0","s11":"s12","s12":"s12","s13":"s8"},"b":{"s0":"s9","s1":"s7","s2":"s8","s3":"s5","s4":"s4","s5":"s0","s6":"s12","s7":"s12","s8":"s1","s9":"s6","s10":"s1","s11":"s7","s12":"s0","s13":"s1"},"c":{"s0":"s0","s1":"s12","s2":"s9","s3":"s3","s4":"s5","s5":"s10","s6":"s13","s7":"s5","s8":"s9","s9":"s4","s10":"s7","s11":"s5","s12":"s8","s13":"s12"},"d":{"s0":"s12","s1":"s12","s2":"s10","s3":"s7","s4":"s6","s5":"s8","s6":"s6","s7":"s10","s8":"s4","s9":"s10","s10":"s13","s11":"s13","s12":"s11","s13":"s4"},"e":{"s0":"s3","s1":"s13","s2":"s2","s3":"s5","s4":"s0","s5":"s2","s6":"s2","s7":"s9","s8":"s1","s9":"s7","s10":"s12","s11":"s12","s12":"s0","s13":"s3"},"f":{"s0":"s3","s1":"s4","s2":"s8","s3":"s13","s4":"s1","s5":"s2","s6":"s6","s7":"s3","s8":"s7","s9":"s0","s10":"s0","s11":"s4","s12":"s5","s13":"s10"},"g":{"s0":"s9","s1":"s13","s2":"s2","s3":"s1","s4":"s11","s5":"s13","s6":"s6","s7":"s10","s8":"s9","s9":"s2","s10":"s7","s11":"s9","s12":"s6","s13":"s10"}} | Given the following FSM:
a b c d e f g
s0 s6 s9 s0 s12 s3 s3 s9
s1 s6 s7 s12 s12 s13 s4 s13
s2 s4 s8 s9 s10 s2 s8 s2
s3 s1 s5 s3 s7 s5 s13 s1
s4 s10 s4 s5 s6 s0 s1 s11
s5 s3 s0 s10 s8 s2 s2 s13
s6 s10 s12 s13 s6 s2 s6 s6
s7 s10 s12 s5 s10 s9 s3 s10
s8 s0 s1 s9 s4 s1 s7 s9
s9 s10 s6 s4 s10 s7 s0 s2
s10 s0 s1 s7 s13 s12 s0 s7
s11 s12 s7 s5 s13 s12 s4 s9
s12 s12 s0 s8 s11 s0 s5 s6
s13 s8 s1 s12 s4 s3 s10 s10
If we are in state s0 and the input is b, what state will we be in next? | s9 |
9061067c-1e06-4c49-97d8-19f236fde664 | 3a5735f7-e9dc-4739-9202-c3cbc5b75025 | {"states": ["s0", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s3", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s9","s2":"s0","s3":"s4","s4":"s5","s5":"s5","s6":"s3","s7":"s5","s8":"s7","s9":"s3"},"b":{"s0":"s4","s2":"s2","s3":"s4","s4":"s3","s5":"s9","s6":"s8","s7":"s2","s8":"s7","s9":"s2"},"c":{"s0":"s5","s2":"s6","s3":"s7","s4":"s7","s5":"s3","s6":"s6","s7":"s9","s8":"s0","s9":"s4"}} | Given the following FSM:
a b c
s0 s9 s4 s5
s2 s0 s2 s6
s3 s4 s4 s7
s4 s5 s3 s7
s5 s5 s9 s3
s6 s3 s8 s6
s7 s5 s2 s9
s8 s7 s7 s0
s9 s3 s2 s4
If we are in state s9 and the input is c, what state will we be in next? | s4 |
27a2a0c3-2b7a-4e8c-a151-e55dfc1d12a9 | bc5e1b26-8382-44a4-bbaf-2033f7340af5 | {"states": ["s0", "s1", "s2", "s3"], "alphabets": "abcdefgh", "accepting_states": ["s3", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s0"]}]} | 3 | {"a":{"s0":"s1","s1":"s0","s2":"s1","s3":"s2"},"b":{"s0":"s0","s1":"s1","s2":"s1","s3":"s1"},"c":{"s0":"s3","s1":"s3","s2":"s1","s3":"s0"},"d":{"s0":"s1","s1":"s1","s2":"s3","s3":"s3"},"e":{"s0":"s1","s1":"s1","s2":"s0","s3":"s2"},"f":{"s0":"s2","s1":"s1","s2":"s2","s3":"s1"},"g":{"s0":"s1","s1":"s2","s2":"s3","s3":"s0"},"h":{"s0":"s0","s1":"s0","s2":"s0","s3":"s0"}} | Given the following FSM:
a b c d e f g h
s0 s1 s0 s3 s1 s1 s2 s1 s0
s1 s0 s1 s3 s1 s1 s1 s2 s0
s2 s1 s1 s1 s3 s0 s2 s3 s0
s3 s2 s1 s0 s3 s2 s1 s0 s0
If we are in state s2 and the input is d, what state will we be in next? | s3 |
aa63f022-fba4-455c-aa50-aa78dc960318 | a3aaa9b3-9b07-4c73-b10c-8374aa983ba7 | {"states": ["s0"], "alphabets": "a", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}]} | 3 | {"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 |
7c8c2cac-fd60-4049-ad80-385477f84a1b | 226c8031-40b8-431c-a4e6-2dc5ee8519d3 | {"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 |
70a00763-2a86-4d70-bf35-c9c77f8eabc9 | 0841e9e5-dbd2-4100-85b8-6dc7aea2b7af | {"states": ["s0", "s1", "s2", "s3", "s4"], "alphabets": "abcdefg", "accepting_states": ["s2", "s4", "s0", "s1", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s3","s1":"s0","s2":"s3","s3":"s2","s4":"s1"},"b":{"s0":"s4","s1":"s2","s2":"s1","s3":"s0","s4":"s3"},"c":{"s0":"s3","s1":"s3","s2":"s0","s3":"s0","s4":"s4"},"d":{"s0":"s4","s1":"s2","s2":"s1","s3":"s4","s4":"s0"},"e":{"s0":"s4","s1":"s0","s2":"s2","s3":"s2","s4":"s4"},"f":{"s0":"s0","s1":"s0","s2":"s1","s3":"s4","s4":"s0"},"g":{"s0":"s3","s1":"s2","s2":"s1","s3":"s2","s4":"s1"}} | Given the following FSM:
a b c d e f g
s0 s3 s4 s3 s4 s4 s0 s3
s1 s0 s2 s3 s2 s0 s0 s2
s2 s3 s1 s0 s1 s2 s1 s1
s3 s2 s0 s0 s4 s2 s4 s2
s4 s1 s3 s4 s0 s4 s0 s1
If we are in state s0 and the input is f, what state will we be in next? | s0 |
318b017c-ed07-4300-8638-d60e8c27f587 | 988ad17a-a4ad-4783-bf42-f860fc882410 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abc", "accepting_states": ["s3", "s2", "s4", "s1", "s8", "s6", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s2","s1":"s7","s2":"s5","s3":"s7","s4":"s7","s5":"s2","s6":"s5","s7":"s8","s8":"s3"},"b":{"s0":"s3","s1":"s3","s2":"s0","s3":"s1","s4":"s7","s5":"s7","s6":"s7","s7":"s3","s8":"s6"},"c":{"s0":"s8","s1":"s4","s2":"s7","s3":"s6","s4":"s2","s5":"s7","s6":"s1","s7":"s6","s8":"s1"}} | Given the following FSM:
a b c
s0 s2 s3 s8
s1 s7 s3 s4
s2 s5 s0 s7
s3 s7 s1 s6
s4 s7 s7 s2
s5 s2 s7 s7
s6 s5 s7 s1
s7 s8 s3 s6
s8 s3 s6 s1
If we are in state s3 and the input is c, what state will we be in next? | s6 |
b3f23578-35d7-45f0-b565-2d42366ed97c | 69e205ab-c97c-4943-8fe7-b23c6b1c84d9 | {"states": ["s0", "s1", "s2", "s3", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abc", "accepting_states": ["s2", "s1", "s3", "s7", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s2","s1":"s3","s2":"s9","s3":"s3","s5":"s2","s6":"s7","s7":"s6","s8":"s2","s9":"s5","s10":"s3"},"b":{"s0":"s6","s1":"s7","s2":"s2","s3":"s8","s5":"s7","s6":"s1","s7":"s1","s8":"s3","s9":"s2","s10":"s10"},"c":{"s0":"s6","s1":"s8","s2":"s1","s3":"s0","s5":"s8","s6":"s6","s7":"s10","s8":"s8","s9":"s2","s10":"s1"}} | Given the following FSM:
a b c
s0 s2 s6 s6
s1 s3 s7 s8
s2 s9 s2 s1
s3 s3 s8 s0
s5 s2 s7 s8
s6 s7 s1 s6
s7 s6 s1 s10
s8 s2 s3 s8
s9 s5 s2 s2
s10 s3 s10 s1
If we are in state s10 and the input is c, what state will we be in next? | s1 |
52cf8def-a251-4748-950d-14b702069155 | 496ba0b3-917e-4d07-95a4-846e4d87b7e3 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6"], "alphabets": "abcd", "accepting_states": ["s6", "s1", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s0","s1":"s6","s2":"s3","s3":"s1","s4":"s3","s5":"s5","s6":"s0"},"b":{"s0":"s1","s1":"s5","s2":"s4","s3":"s3","s4":"s3","s5":"s4","s6":"s3"},"c":{"s0":"s4","s1":"s0","s2":"s1","s3":"s4","s4":"s6","s5":"s6","s6":"s1"},"d":{"s0":"s4","s1":"s4","s2":"s6","s3":"s3","s4":"s2","s5":"s5","s6":"s4"}} | Given the following FSM:
a b c d
s0 s0 s1 s4 s4
s1 s6 s5 s0 s4
s2 s3 s4 s1 s6
s3 s1 s3 s4 s3
s4 s3 s3 s6 s2
s5 s5 s4 s6 s5
s6 s0 s3 s1 s4
If we are in state s4 and the input is d, what state will we be in next? | s2 |
dd63862f-ecb3-4cf9-bf4f-a46a1c733411 | 88e6465d-101f-46b1-b0f9-bf0a56f6fc60 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11"], "alphabets": "abcdefghi", "accepting_states": ["s8", "s1", "s9", "s2", "s7", "s11"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "i", "toStates": ["s9"]}]} | 5 | {"a":{"s0":"s1","s1":"s10","s2":"s9","s3":"s4","s4":"s2","s5":"s7","s6":"s10","s7":"s2","s8":"s10","s9":"s7","s10":"s8","s11":"s10"},"b":{"s0":"s3","s1":"s0","s2":"s3","s3":"s6","s4":"s5","s5":"s2","s6":"s6","s7":"s0","s8":"s10","s9":"s4","s10":"s5","s11":"s1"},"c":{"s0":"s0","s1":"s0","s2":"s10","s3":"s6","s4":"s11","s5":"s10","s6":"s3","s7":"s9","s8":"s5","s9":"s4","s10":"s5","s11":"s0"},"d":{"s0":"s11","s1":"s4","s2":"s2","s3":"s8","s4":"s2","s5":"s1","s6":"s6","s7":"s11","s8":"s10","s9":"s3","s10":"s5","s11":"s0"},"e":{"s0":"s2","s1":"s11","s2":"s10","s3":"s6","s4":"s1","s5":"s0","s6":"s5","s7":"s2","s8":"s10","s9":"s9","s10":"s7","s11":"s0"},"f":{"s0":"s9","s1":"s2","s2":"s2","s3":"s6","s4":"s3","s5":"s8","s6":"s9","s7":"s3","s8":"s11","s9":"s11","s10":"s2","s11":"s8"},"g":{"s0":"s1","s1":"s1","s2":"s10","s3":"s8","s4":"s7","s5":"s4","s6":"s3","s7":"s3","s8":"s7","s9":"s8","s10":"s8","s11":"s2"},"h":{"s0":"s4","s1":"s6","s2":"s6","s3":"s7","s4":"s9","s5":"s10","s6":"s0","s7":"s8","s8":"s4","s9":"s5","s10":"s7","s11":"s4"},"i":{"s0":"s10","s1":"s2","s2":"s2","s3":"s11","s4":"s8","s5":"s8","s6":"s11","s7":"s10","s8":"s1","s9":"s8","s10":"s4","s11":"s9"}} | Given the following FSM:
a b c d e f g h i
s0 s1 s3 s0 s11 s2 s9 s1 s4 s10
s1 s10 s0 s0 s4 s11 s2 s1 s6 s2
s2 s9 s3 s10 s2 s10 s2 s10 s6 s2
s3 s4 s6 s6 s8 s6 s6 s8 s7 s11
s4 s2 s5 s11 s2 s1 s3 s7 s9 s8
s5 s7 s2 s10 s1 s0 s8 s4 s10 s8
s6 s10 s6 s3 s6 s5 s9 s3 s0 s11
s7 s2 s0 s9 s11 s2 s3 s3 s8 s10
s8 s10 s10 s5 s10 s10 s11 s7 s4 s1
s9 s7 s4 s4 s3 s9 s11 s8 s5 s8
s10 s8 s5 s5 s5 s7 s2 s8 s7 s4
s11 s10 s1 s0 s0 s0 s8 s2 s4 s9
If we are in state s5 and the input is a, what state will we be in next? | s7 |
7c5a34cd-8f09-437d-ab9a-0b703defd96c | d532a764-d992-445d-89b3-0248f545d574 | {"states": ["s0", "s1", "s2"], "alphabets": "abcde", "accepting_states": ["s2", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}]} | 2 | {"a":{"s0":"s1","s1":"s0","s2":"s1"},"b":{"s0":"s1","s1":"s2","s2":"s2"},"c":{"s0":"s0","s1":"s1","s2":"s0"},"d":{"s0":"s0","s1":"s0","s2":"s0"},"e":{"s0":"s1","s1":"s0","s2":"s0"}} | Given the following FSM:
a b c d e
s0 s1 s1 s0 s0 s1
s1 s0 s2 s1 s0 s0
s2 s1 s2 s0 s0 s0
If we are in state s0 and the input is b, what state will we be in next? | s1 |
504edfbe-7631-4605-a05c-80a6cc6be8c0 | 758ee3a2-9f77-48bc-89ea-44ea94045a4c | {"states": ["s0", "s1", "s2"], "alphabets": "abcdefg", "accepting_states": ["s2", "s0", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"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": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"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": ["s1"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s2","s1":"s1","s2":"s1"},"b":{"s0":"s2","s1":"s2","s2":"s2"},"c":{"s0":"s1","s1":"s0","s2":"s2"},"d":{"s0":"s1","s1":"s0","s2":"s0"},"e":{"s0":"s0","s1":"s0","s2":"s1"},"f":{"s0":"s1","s1":"s0","s2":"s1"},"g":{"s0":"s1","s1":"s1","s2":"s2"}} | Given the following FSM:
a b c d e f g
s0 s2 s2 s1 s1 s0 s1 s1
s1 s1 s2 s0 s0 s0 s0 s1
s2 s1 s2 s2 s0 s1 s1 s2
If we are in state s1 and the input is a, what state will we be in next? | s1 |
4d82562a-ff97-4179-a1b9-3f29d1db305a | 41779b16-6c55-47b4-93f6-6b61a91624ec | {"states": ["s0", "s1", "s2", "s3"], "alphabets": "abcd", "accepting_states": ["s2", "s3", "s0", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "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": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}]} | 2 | {"a":{"s0":"s3","s1":"s1","s2":"s3","s3":"s3"},"b":{"s0":"s2","s1":"s0","s2":"s2","s3":"s3"},"c":{"s0":"s1","s1":"s0","s2":"s3","s3":"s1"},"d":{"s0":"s1","s1":"s1","s2":"s0","s3":"s1"}} | Given the following FSM:
a b c d
s0 s3 s2 s1 s1
s1 s1 s0 s0 s1
s2 s3 s2 s3 s0
s3 s3 s3 s1 s1
If we are in state s1 and the input is c, what state will we be in next? | s0 |
2970dde0-0166-4105-a88b-551ee0b464de | b446dcf7-9d4c-4ecc-91a8-7191074bfb03 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abcdef", "accepting_states": ["s9", "s6", "s0", "s1", "s2", "s12", "s8", "s5", "s10", "s7", "s4", "s11"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s0","s1":"s3","s2":"s11","s3":"s9","s4":"s4","s5":"s2","s6":"s7","s7":"s7","s8":"s8","s9":"s2","s10":"s5","s11":"s0","s12":"s3"},"b":{"s0":"s3","s1":"s11","s2":"s1","s3":"s1","s4":"s4","s5":"s9","s6":"s10","s7":"s12","s8":"s0","s9":"s5","s10":"s5","s11":"s0","s12":"s0"},"c":{"s0":"s5","s1":"s10","s2":"s8","s3":"s5","s4":"s3","s5":"s1","s6":"s9","s7":"s0","s8":"s11","s9":"s8","s10":"s5","s11":"s10","s12":"s2"},"d":{"s0":"s11","s1":"s9","s2":"s8","s3":"s2","s4":"s11","s5":"s8","s6":"s6","s7":"s10","s8":"s5","s9":"s1","s10":"s1","s11":"s5","s12":"s11"},"e":{"s0":"s9","s1":"s4","s2":"s0","s3":"s12","s4":"s9","s5":"s3","s6":"s7","s7":"s1","s8":"s0","s9":"s4","s10":"s8","s11":"s6","s12":"s0"},"f":{"s0":"s10","s1":"s7","s2":"s12","s3":"s7","s4":"s1","s5":"s0","s6":"s2","s7":"s12","s8":"s8","s9":"s3","s10":"s0","s11":"s2","s12":"s5"}} | Given the following FSM:
a b c d e f
s0 s0 s3 s5 s11 s9 s10
s1 s3 s11 s10 s9 s4 s7
s2 s11 s1 s8 s8 s0 s12
s3 s9 s1 s5 s2 s12 s7
s4 s4 s4 s3 s11 s9 s1
s5 s2 s9 s1 s8 s3 s0
s6 s7 s10 s9 s6 s7 s2
s7 s7 s12 s0 s10 s1 s12
s8 s8 s0 s11 s5 s0 s8
s9 s2 s5 s8 s1 s4 s3
s10 s5 s5 s5 s1 s8 s0
s11 s0 s0 s10 s5 s6 s2
s12 s3 s0 s2 s11 s0 s5
If we are in state s6 and the input is d, what state will we be in next? | s6 |
0a220b88-4882-4d58-b671-ae4e8e513047 | 00680f0c-f460-44fe-b926-77e6ab251654 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5"], "alphabets": "abcde", "accepting_states": ["s2", "s3", "s1", "s4", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}]} | 3 | {"a":{"s0":"s2","s1":"s0","s2":"s2","s3":"s1","s4":"s4","s5":"s3"},"b":{"s0":"s5","s1":"s0","s2":"s1","s3":"s1","s4":"s5","s5":"s0"},"c":{"s0":"s5","s1":"s1","s2":"s4","s3":"s5","s4":"s5","s5":"s1"},"d":{"s0":"s0","s1":"s4","s2":"s2","s3":"s1","s4":"s0","s5":"s0"},"e":{"s0":"s0","s1":"s2","s2":"s0","s3":"s4","s4":"s4","s5":"s0"}} | Given the following FSM:
a b c d e
s0 s2 s5 s5 s0 s0
s1 s0 s0 s1 s4 s2
s2 s2 s1 s4 s2 s0
s3 s1 s1 s5 s1 s4
s4 s4 s5 s5 s0 s4
s5 s3 s0 s1 s0 s0
If we are in state s1 and the input is e, what state will we be in next? | s2 |
daf1ba3e-0061-40e8-ac4e-df6dcc0bb35c | 85d36471-ff97-47a6-a4dc-07301699182e | {"states": ["s0", "s1", "s2", "s3"], "alphabets": "abcdefg", "accepting_states": ["s0", "s3", "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": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s3","s1":"s3","s2":"s3","s3":"s0"},"b":{"s0":"s3","s1":"s3","s2":"s3","s3":"s1"},"c":{"s0":"s3","s1":"s0","s2":"s3","s3":"s0"},"d":{"s0":"s1","s1":"s1","s2":"s3","s3":"s0"},"e":{"s0":"s0","s1":"s2","s2":"s1","s3":"s2"},"f":{"s0":"s2","s1":"s1","s2":"s2","s3":"s0"},"g":{"s0":"s1","s1":"s0","s2":"s2","s3":"s1"}} | Given the following FSM:
a b c d e f g
s0 s3 s3 s3 s1 s0 s2 s1
s1 s3 s3 s0 s1 s2 s1 s0
s2 s3 s3 s3 s3 s1 s2 s2
s3 s0 s1 s0 s0 s2 s0 s1
If we are in state s0 and the input is b, what state will we be in next? | s3 |
71694ac8-a8d2-4a25-82f9-80c4f14caec8 | 5781bd69-b43f-4f0e-a6d5-68967cbf922c | {"states": ["s0", "s1", "s2", "s3", "s4"], "alphabets": "abcd", "accepting_states": ["s4", "s1", "s0", "s2", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}]} | 2 | {"a":{"s0":"s0","s1":"s2","s2":"s1","s3":"s0","s4":"s2"},"b":{"s0":"s4","s1":"s1","s2":"s0","s3":"s1","s4":"s0"},"c":{"s0":"s4","s1":"s1","s2":"s0","s3":"s1","s4":"s3"},"d":{"s0":"s4","s1":"s0","s2":"s2","s3":"s4","s4":"s1"}} | Given the following FSM:
a b c d
s0 s0 s4 s4 s4
s1 s2 s1 s1 s0
s2 s1 s0 s0 s2
s3 s0 s1 s1 s4
s4 s2 s0 s3 s1
If we are in state s3 and the input is d, what state will we be in next? | s4 |
e49da958-4528-4a14-b021-e8b16d8baece | 2ca1dca6-2196-4a40-ba02-550bcfc4f6b4 | {"states": ["s0"], "alphabets": "abcdefghij", "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"]}, {"fromState": "s0", "symbol": "j", "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"},"j":{"s0":"s0"}} | Given the following FSM:
a b c d e f g h i j
s0 s0 s0 s0 s0 s0 s0 s0 s0 s0 s0
If we are in state s0 and the input is g, what state will we be in next? | s0 |
afe48254-32e3-445f-8ffc-38c935868c1a | 0b0883a4-6816-401b-a828-fe2bbf608813 | {"states": ["s0", "s1"], "alphabets": "abc", "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": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}]} | 2 | {"a":{"s0":"s0","s1":"s0"},"b":{"s0":"s0","s1":"s0"},"c":{"s0":"s1","s1":"s0"}} | Given the following FSM:
a b c
s0 s0 s0 s1
s1 s0 s0 s0
If we are in state s1 and the input is c, what state will we be in next? | s0 |
6c5d32e9-2ce7-4c71-8fe5-3c4163fd1b08 | e8d0bbfe-b69f-4062-891f-1345c0c41023 | {"states": ["s0", "s1", "s2", "s3"], "alphabets": "abc", "accepting_states": ["s3", "s0", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}]} | 2 | {"a":{"s0":"s0","s1":"s3","s2":"s0","s3":"s2"},"b":{"s0":"s3","s1":"s1","s2":"s1","s3":"s2"},"c":{"s0":"s3","s1":"s1","s2":"s2","s3":"s0"}} | Given the following FSM:
a b c
s0 s0 s3 s3
s1 s3 s1 s1
s2 s0 s1 s2
s3 s2 s2 s0
If we are in state s0 and the input is c, what state will we be in next? | s3 |
26448bb5-5667-495c-82a6-df20d3349ae8 | f2bc6949-6b64-4865-a49d-439c2331eae7 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6"], "alphabets": "abcd", "accepting_states": ["s1", "s3", "s4", "s0", "s6", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s2","s1":"s1","s2":"s4","s3":"s0","s4":"s3","s5":"s4","s6":"s5"},"b":{"s0":"s5","s1":"s3","s2":"s5","s3":"s6","s4":"s1","s5":"s0","s6":"s1"},"c":{"s0":"s0","s1":"s3","s2":"s3","s3":"s0","s4":"s0","s5":"s0","s6":"s1"},"d":{"s0":"s6","s1":"s3","s2":"s5","s3":"s5","s4":"s3","s5":"s5","s6":"s1"}} | Given the following FSM:
a b c d
s0 s2 s5 s0 s6
s1 s1 s3 s3 s3
s2 s4 s5 s3 s5
s3 s0 s6 s0 s5
s4 s3 s1 s0 s3
s5 s4 s0 s0 s5
s6 s5 s1 s1 s1
If we are in state s1 and the input is a, what state will we be in next? | s1 |
8880bb8c-d19f-49f8-a220-adf4b3a3ad50 | 5daaad0a-432e-4921-ab9a-544e158090f5 | {"states": ["s0", "s3"], "alphabets": "a", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}]} | 2 | {"a":{"s0":"s3","s3":"s3"}} | Given the following FSM:
a
s0 s3
s3 s3
If we are in state s3 and the input is a, what state will we be in next? | s3 |
93eea63e-8861-4f99-863c-db034a38f24c | 3f30a508-ae89-4e6c-840c-8d64ec562345 | {"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 b, what state will we be in next? | s0 |
a21131e5-59d7-447a-b026-069d67b8cc08 | 0b4fbfe3-9684-47ee-8740-2e04e3157e99 | {"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 |
2775f381-3d7f-464d-bbfb-2f42ce9aa119 | b8dd5e44-ed72-42aa-b18f-09093721c196 | {"states": ["s0"], "alphabets": "a", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}]} | 3 | {"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 |
c2d6c162-bad1-463a-98ad-5647e5a9204a | eefc991f-594a-46a4-9a32-8bd87df663dd | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6"], "alphabets": "abcdefgh", "accepting_states": ["s3", "s1", "s4", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s2","s1":"s5","s2":"s6","s3":"s1","s4":"s6","s5":"s5","s6":"s4"},"b":{"s0":"s3","s1":"s3","s2":"s1","s3":"s0","s4":"s1","s5":"s3","s6":"s2"},"c":{"s0":"s3","s1":"s3","s2":"s5","s3":"s3","s4":"s2","s5":"s2","s6":"s4"},"d":{"s0":"s4","s1":"s3","s2":"s6","s3":"s3","s4":"s0","s5":"s2","s6":"s3"},"e":{"s0":"s6","s1":"s0","s2":"s4","s3":"s4","s4":"s1","s5":"s5","s6":"s0"},"f":{"s0":"s5","s1":"s3","s2":"s2","s3":"s6","s4":"s4","s5":"s2","s6":"s5"},"g":{"s0":"s0","s1":"s0","s2":"s5","s3":"s5","s4":"s2","s5":"s6","s6":"s5"},"h":{"s0":"s1","s1":"s3","s2":"s6","s3":"s6","s4":"s5","s5":"s3","s6":"s6"}} | Given the following FSM:
a b c d e f g h
s0 s2 s3 s3 s4 s6 s5 s0 s1
s1 s5 s3 s3 s3 s0 s3 s0 s3
s2 s6 s1 s5 s6 s4 s2 s5 s6
s3 s1 s0 s3 s3 s4 s6 s5 s6
s4 s6 s1 s2 s0 s1 s4 s2 s5
s5 s5 s3 s2 s2 s5 s2 s6 s3
s6 s4 s2 s4 s3 s0 s5 s5 s6
If we are in state s5 and the input is e, what state will we be in next? | s5 |
dbcb39c1-d00c-4f0a-97ae-be292480b757 | 12135422-c3d5-4552-aa9b-7764b1c99060 | {"states": ["s0", "s1", "s2", "s3", "s4"], "alphabets": "abcdefghi", "accepting_states": ["s2", "s1", "s4", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s2","s1":"s1","s2":"s4","s3":"s4","s4":"s1"},"b":{"s0":"s0","s1":"s4","s2":"s3","s3":"s4","s4":"s3"},"c":{"s0":"s1","s1":"s4","s2":"s3","s3":"s3","s4":"s0"},"d":{"s0":"s0","s1":"s2","s2":"s1","s3":"s1","s4":"s1"},"e":{"s0":"s4","s1":"s3","s2":"s1","s3":"s2","s4":"s4"},"f":{"s0":"s4","s1":"s2","s2":"s4","s3":"s3","s4":"s4"},"g":{"s0":"s0","s1":"s4","s2":"s0","s3":"s1","s4":"s3"},"h":{"s0":"s1","s1":"s3","s2":"s3","s3":"s2","s4":"s1"},"i":{"s0":"s4","s1":"s1","s2":"s3","s3":"s1","s4":"s3"}} | Given the following FSM:
a b c d e f g h i
s0 s2 s0 s1 s0 s4 s4 s0 s1 s4
s1 s1 s4 s4 s2 s3 s2 s4 s3 s1
s2 s4 s3 s3 s1 s1 s4 s0 s3 s3
s3 s4 s4 s3 s1 s2 s3 s1 s2 s1
s4 s1 s3 s0 s1 s4 s4 s3 s1 s3
If we are in state s1 and the input is g, what state will we be in next? | s4 |
242a103d-1c49-43cc-a3a3-ccc6e6333055 | 83200474-56e4-464f-a8cb-6041fe42aa7c | {"states": ["s0", "s1", "s2"], "alphabets": "abcde", "accepting_states": ["s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}]} | 2 | {"a":{"s0":"s1","s1":"s0","s2":"s0"},"b":{"s0":"s1","s1":"s0","s2":"s1"},"c":{"s0":"s2","s1":"s0","s2":"s0"},"d":{"s0":"s1","s1":"s1","s2":"s2"},"e":{"s0":"s0","s1":"s1","s2":"s1"}} | Given the following FSM:
a b c d e
s0 s1 s1 s2 s1 s0
s1 s0 s0 s0 s1 s1
s2 s0 s1 s0 s2 s1
If we are in state s2 and the input is b, what state will we be in next? | s1 |
ecc4a570-2264-4374-89c4-cd2eb4b4e1cc | 942a05a6-de88-4175-9428-5f0b1b7e466f | {"states": ["s0", "s7", "s12"], "alphabets": "a", "accepting_states": ["s0", "s7", "s12"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s12","s7":"s12","s12":"s7"}} | Given the following FSM:
a
s0 s12
s7 s12
s12 s7
If we are in state s0 and the input is a, what state will we be in next? | s12 |
e8cdb089-aebc-4cb9-acfd-48daebd568ed | f5fe93f4-697a-466b-8f03-b6d2ac89d8b0 | {"states": ["s0"], "alphabets": "a", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}]} | 3 | {"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 |
6eb03435-0ec1-4061-88fa-9aa6a90e903a | 4dcbc6d5-aa3d-42b7-85cc-465afbb807b2 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s1", "s7", "s2", "s0", "s3", "s4", "s9", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s4","s1":"s2","s2":"s9","s3":"s4","s4":"s4","s5":"s5","s6":"s9","s7":"s4","s8":"s2","s9":"s5"},"b":{"s0":"s0","s1":"s5","s2":"s1","s3":"s3","s4":"s0","s5":"s2","s6":"s5","s7":"s1","s8":"s3","s9":"s1"},"c":{"s0":"s4","s1":"s1","s2":"s7","s3":"s2","s4":"s3","s5":"s4","s6":"s9","s7":"s3","s8":"s1","s9":"s6"},"d":{"s0":"s5","s1":"s3","s2":"s2","s3":"s6","s4":"s5","s5":"s3","s6":"s8","s7":"s5","s8":"s9","s9":"s5"}} | Given the following FSM:
a b c d
s0 s4 s0 s4 s5
s1 s2 s5 s1 s3
s2 s9 s1 s7 s2
s3 s4 s3 s2 s6
s4 s4 s0 s3 s5
s5 s5 s2 s4 s3
s6 s9 s5 s9 s8
s7 s4 s1 s3 s5
s8 s2 s3 s1 s9
s9 s5 s1 s6 s5
If we are in state s8 and the input is d, what state will we be in next? | s9 |
8b968ff6-faac-4e86-8a93-266d5557d771 | fc394953-b232-4e1c-8f3a-7062c6ad5e75 | {"states": ["s0", "s1", "s2"], "alphabets": "abcde", "accepting_states": ["s2", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "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": ["s0"]}]} | 2 | {"a":{"s0":"s0","s1":"s0","s2":"s0"},"b":{"s0":"s2","s1":"s2","s2":"s0"},"c":{"s0":"s1","s1":"s2","s2":"s2"},"d":{"s0":"s2","s1":"s2","s2":"s0"},"e":{"s0":"s0","s1":"s0","s2":"s0"}} | Given the following FSM:
a b c d e
s0 s0 s2 s1 s2 s0
s1 s0 s2 s2 s2 s0
s2 s0 s0 s2 s0 s0
If we are in state s0 and the input is e, what state will we be in next? | s0 |
a40282dc-7f41-48c4-be3d-dd9d66c57311 | 4333ebf7-e8a7-4403-9c04-e6a028fc05a8 | {"states": ["s0"], "alphabets": "abcdef", "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"]}]} | 2 | {"a":{"s0":"s0"},"b":{"s0":"s0"},"c":{"s0":"s0"},"d":{"s0":"s0"},"e":{"s0":"s0"},"f":{"s0":"s0"}} | Given the following FSM:
a b c d e f
s0 s0 s0 s0 s0 s0 s0
If we are in state s0 and the input is d, what state will we be in next? | s0 |
150335ce-293c-4798-a631-2d63f6552834 | 68a28c86-335c-4d7b-a85f-dab412a4df5f | {"states": ["s0", "s1"], "alphabets": "ab", "accepting_states": ["s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}]} | 1 | {"a":{"s0":"s0","s1":"s0"},"b":{"s0":"s1","s1":"s0"}} | Given the following FSM:
a b
s0 s0 s1
s1 s0 s0
If we are in state s0 and the input is b, what state will we be in next? | s1 |
1bac112b-2ca6-432f-9529-5b63c8650d0e | c09da169-699c-450f-8d62-e40b2163069f | {"states": ["s0", "s6", "s10"], "alphabets": "a", "accepting_states": ["s10", "s6", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s0"]}]} | 3 | {"a":{"s0":"s6","s6":"s10","s10":"s0"}} | Given the following FSM:
a
s0 s6
s6 s10
s10 s0
If we are in state s10 and the input is a, what state will we be in next? | s0 |
f20c17f1-8b02-4a89-8e72-15729b15989b | 09047c23-9c0d-444f-8628-b9f70d7f4ec0 | {"states": ["s0", "s2", "s3", "s4", "s5", "s7", "s8", "s9"], "alphabets": "ab", "accepting_states": ["s9", "s7", "s8", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s0"]}]} | 3 | {"a":{"s0":"s2","s2":"s5","s3":"s7","s4":"s2","s5":"s0","s7":"s4","s8":"s9","s9":"s3"},"b":{"s0":"s7","s2":"s5","s3":"s4","s4":"s8","s5":"s9","s7":"s4","s8":"s7","s9":"s0"}} | Given the following FSM:
a b
s0 s2 s7
s2 s5 s5
s3 s7 s4
s4 s2 s8
s5 s0 s9
s7 s4 s4
s8 s9 s7
s9 s3 s0
If we are in state s3 and the input is a, what state will we be in next? | s7 |
0a1fe4a2-1ed9-4799-88a0-3fb73c57ffc5 | 7ab32ebc-5cec-49e6-97cb-a21a46f54a12 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7"], "alphabets": "ab", "accepting_states": ["s2", "s7", "s6", "s0", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s0","s1":"s6","s2":"s7","s3":"s1","s4":"s3","s5":"s4","s6":"s5","s7":"s5"},"b":{"s0":"s3","s1":"s2","s2":"s3","s3":"s6","s4":"s0","s5":"s1","s6":"s2","s7":"s4"}} | Given the following FSM:
a b
s0 s0 s3
s1 s6 s2
s2 s7 s3
s3 s1 s6
s4 s3 s0
s5 s4 s1
s6 s5 s2
s7 s5 s4
If we are in state s0 and the input is a, what state will we be in next? | s0 |