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 |
---|---|---|---|---|---|---|
925981d6-bcf0-4df7-a044-3faac414ae7e | 00a11145-ff70-41d0-a797-d295e5b41ec3 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abc", "accepting_states": ["s9", "s2", "s4", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s8","s2":"s9","s3":"s5","s4":"s5","s5":"s2","s6":"s8","s7":"s0","s8":"s7","s9":"s3","s10":"s2"},"b":{"s0":"s7","s1":"s2","s2":"s3","s3":"s3","s4":"s10","s5":"s9","s6":"s2","s7":"s5","s8":"s1","s9":"s4","s10":"s6"},"c":{"s0":"s9","s1":"s1","s2":"s6","s3":"s4","s4":"s0","s5":"s3","s6":"s1","s7":"s8","s8":"s4","s9":"s6","s10":"s1"}} | Given the following FSM:
a b c
s0 s0 s7 s9
s1 s8 s2 s1
s2 s9 s3 s6
s3 s5 s3 s4
s4 s5 s10 s0
s5 s2 s9 s3
s6 s8 s2 s1
s7 s0 s5 s8
s8 s7 s1 s4
s9 s3 s4 s6
s10 s2 s6 s1
If we are in state s1 and the input is c, what state will we be in next? | s1 |
06e69fb5-a2c4-4126-9867-440625197e25 | 1de9470f-31e3-448a-9875-b43112f0fe8b | {"states": ["s0", "s1"], "alphabets": "ab", "accepting_states": ["s1", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}]} | 1 | {"a":{"s0":"s1","s1":"s1"},"b":{"s0":"s1","s1":"s1"}} | Given the following FSM:
a b
s0 s1 s1
s1 s1 s1
If we are in state s0 and the input is b, what state will we be in next? | s1 |
2d4b07a9-782c-46ea-ba87-19fc426162e8 | 54b734d7-3ddc-4985-a18e-40bb698fdd34 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6"], "alphabets": "abcdef", "accepting_states": ["s1", "s6", "s5", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s3","s1":"s5","s2":"s3","s3":"s2","s4":"s1","s5":"s6","s6":"s6"},"b":{"s0":"s5","s1":"s6","s2":"s5","s3":"s2","s4":"s4","s5":"s6","s6":"s6"},"c":{"s0":"s5","s1":"s4","s2":"s0","s3":"s6","s4":"s2","s5":"s1","s6":"s2"},"d":{"s0":"s3","s1":"s4","s2":"s1","s3":"s4","s4":"s6","s5":"s3","s6":"s6"},"e":{"s0":"s1","s1":"s6","s2":"s1","s3":"s1","s4":"s1","s5":"s5","s6":"s1"},"f":{"s0":"s5","s1":"s0","s2":"s5","s3":"s6","s4":"s1","s5":"s3","s6":"s2"}} | Given the following FSM:
a b c d e f
s0 s3 s5 s5 s3 s1 s5
s1 s5 s6 s4 s4 s6 s0
s2 s3 s5 s0 s1 s1 s5
s3 s2 s2 s6 s4 s1 s6
s4 s1 s4 s2 s6 s1 s1
s5 s6 s6 s1 s3 s5 s3
s6 s6 s6 s2 s6 s1 s2
If we are in state s5 and the input is f, what state will we be in next? | s3 |
3acc993a-2ca4-4382-ab64-34ec1e5206ea | 9eb8acd2-ad4b-4c51-874a-c0e45b0e2c60 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abc", "accepting_states": ["s5", "s7", "s2", "s11", "s0", "s4", "s1", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s2","s1":"s4","s2":"s8","s3":"s6","s4":"s2","s5":"s0","s6":"s9","s7":"s10","s8":"s7","s9":"s6","s10":"s4","s11":"s9","s12":"s4"},"b":{"s0":"s8","s1":"s4","s2":"s1","s3":"s12","s4":"s8","s5":"s7","s6":"s8","s7":"s12","s8":"s6","s9":"s12","s10":"s9","s11":"s0","s12":"s5"},"c":{"s0":"s9","s1":"s3","s2":"s5","s3":"s3","s4":"s12","s5":"s8","s6":"s6","s7":"s7","s8":"s10","s9":"s9","s10":"s11","s11":"s5","s12":"s1"}} | Given the following FSM:
a b c
s0 s2 s8 s9
s1 s4 s4 s3
s2 s8 s1 s5
s3 s6 s12 s3
s4 s2 s8 s12
s5 s0 s7 s8
s6 s9 s8 s6
s7 s10 s12 s7
s8 s7 s6 s10
s9 s6 s12 s9
s10 s4 s9 s11
s11 s9 s0 s5
s12 s4 s5 s1
If we are in state s8 and the input is c, what state will we be in next? | s10 |
5ed1a32a-09a0-4117-bd47-2adea8a588de | 36dbcfd2-59b3-440d-a9ba-f5467f7ece92 | {"states": ["s0", "s1"], "alphabets": "abcdefgh", "accepting_states": ["s1", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "h", "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"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s1","s1":"s0"},"b":{"s0":"s0","s1":"s0"},"c":{"s0":"s1","s1":"s0"},"d":{"s0":"s0","s1":"s0"},"e":{"s0":"s1","s1":"s1"},"f":{"s0":"s0","s1":"s0"},"g":{"s0":"s0","s1":"s1"},"h":{"s0":"s0","s1":"s1"}} | Given the following FSM:
a b c d e f g h
s0 s1 s0 s1 s0 s1 s0 s0 s0
s1 s0 s0 s0 s0 s1 s0 s1 s1
If we are in state s1 and the input is d, what state will we be in next? | s0 |
0d93f22c-c07f-477c-996c-3bceddec2e2f | 8facdbdb-8fb0-4e33-9edc-0d855eb8b65a | {"states": ["s0", "s1"], "alphabets": "abcdefghi", "accepting_states": ["s0", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s1","s1":"s1"},"b":{"s0":"s1","s1":"s0"},"c":{"s0":"s1","s1":"s1"},"d":{"s0":"s0","s1":"s0"},"e":{"s0":"s0","s1":"s1"},"f":{"s0":"s1","s1":"s1"},"g":{"s0":"s1","s1":"s0"},"h":{"s0":"s1","s1":"s1"},"i":{"s0":"s1","s1":"s1"}} | Given the following FSM:
a b c d e f g h i
s0 s1 s1 s1 s0 s0 s1 s1 s1 s1
s1 s1 s0 s1 s0 s1 s1 s0 s1 s1
If we are in state s0 and the input is b, what state will we be in next? | s1 |
9cab1917-765e-42fd-a70a-750186773135 | aef46df9-9ee8-4ff4-8137-74afcf9f4924 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s9"], "alphabets": "ab", "accepting_states": ["s5", "s3", "s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s4","s1":"s2","s2":"s6","s3":"s7","s4":"s9","s5":"s3","s6":"s6","s7":"s1","s9":"s7"},"b":{"s0":"s2","s1":"s9","s2":"s9","s3":"s4","s4":"s2","s5":"s0","s6":"s3","s7":"s0","s9":"s5"}} | Given the following FSM:
a b
s0 s4 s2
s1 s2 s9
s2 s6 s9
s3 s7 s4
s4 s9 s2
s5 s3 s0
s6 s6 s3
s7 s1 s0
s9 s7 s5
If we are in state s2 and the input is a, what state will we be in next? | s6 |
16bcfdce-4ef0-421d-b613-96f1e101ebae | 36d04fd1-5915-45a1-90a5-7292e244d28d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6"], "alphabets": "abcde", "accepting_states": ["s1", "s4", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s0"]}]} | 3 | {"a":{"s0":"s4","s1":"s6","s2":"s3","s3":"s5","s4":"s3","s5":"s2","s6":"s1"},"b":{"s0":"s3","s1":"s3","s2":"s5","s3":"s1","s4":"s2","s5":"s0","s6":"s2"},"c":{"s0":"s4","s1":"s1","s2":"s6","s3":"s0","s4":"s6","s5":"s4","s6":"s2"},"d":{"s0":"s6","s1":"s2","s2":"s4","s3":"s5","s4":"s5","s5":"s0","s6":"s4"},"e":{"s0":"s4","s1":"s2","s2":"s6","s3":"s2","s4":"s4","s5":"s2","s6":"s0"}} | Given the following FSM:
a b c d e
s0 s4 s3 s4 s6 s4
s1 s6 s3 s1 s2 s2
s2 s3 s5 s6 s4 s6
s3 s5 s1 s0 s5 s2
s4 s3 s2 s6 s5 s4
s5 s2 s0 s4 s0 s2
s6 s1 s2 s2 s4 s0
If we are in state s0 and the input is d, what state will we be in next? | s6 |
5d012e05-e8bf-4fe1-ac50-abbb5ded46d9 | f1ddcfa5-cf7d-4d64-afbd-2e1ed198a9ca | {"states": ["s0", "s1", "s2", "s3", "s4"], "alphabets": "abcdefghi", "accepting_states": ["s1", "s4", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s2","s1":"s0","s2":"s1","s3":"s0","s4":"s0"},"b":{"s0":"s3","s1":"s4","s2":"s4","s3":"s0","s4":"s3"},"c":{"s0":"s2","s1":"s1","s2":"s1","s3":"s3","s4":"s0"},"d":{"s0":"s2","s1":"s3","s2":"s1","s3":"s2","s4":"s0"},"e":{"s0":"s4","s1":"s0","s2":"s2","s3":"s0","s4":"s1"},"f":{"s0":"s4","s1":"s0","s2":"s3","s3":"s4","s4":"s2"},"g":{"s0":"s1","s1":"s2","s2":"s2","s3":"s3","s4":"s0"},"h":{"s0":"s3","s1":"s2","s2":"s0","s3":"s2","s4":"s3"},"i":{"s0":"s2","s1":"s4","s2":"s2","s3":"s0","s4":"s1"}} | Given the following FSM:
a b c d e f g h i
s0 s2 s3 s2 s2 s4 s4 s1 s3 s2
s1 s0 s4 s1 s3 s0 s0 s2 s2 s4
s2 s1 s4 s1 s1 s2 s3 s2 s0 s2
s3 s0 s0 s3 s2 s0 s4 s3 s2 s0
s4 s0 s3 s0 s0 s1 s2 s0 s3 s1
If we are in state s3 and the input is e, what state will we be in next? | s0 |
cb651131-c2be-4f61-b802-da9673298406 | dc72a50f-8567-44fc-ae3c-84fc45bfd233 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s7"], "alphabets": "ab", "accepting_states": ["s7", "s1", "s5", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s2","s1":"s5","s2":"s5","s3":"s4","s4":"s3","s5":"s0","s7":"s1"},"b":{"s0":"s4","s1":"s1","s2":"s1","s3":"s7","s4":"s7","s5":"s3","s7":"s2"}} | Given the following FSM:
a b
s0 s2 s4
s1 s5 s1
s2 s5 s1
s3 s4 s7
s4 s3 s7
s5 s0 s3
s7 s1 s2
If we are in state s4 and the input is b, what state will we be in next? | s7 |
ac7579e4-79f3-483d-8d19-301052fc272d | dbbf403a-85c6-4aee-a7de-94e2eb06e625 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s5", "s0", "s2", "s1", "s8", "s3", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s3","s1":"s8","s2":"s6","s3":"s1","s4":"s2","s5":"s0","s6":"s2","s7":"s1","s8":"s3"},"b":{"s0":"s2","s1":"s8","s2":"s3","s3":"s2","s4":"s6","s5":"s0","s6":"s0","s7":"s6","s8":"s8"},"c":{"s0":"s5","s1":"s0","s2":"s1","s3":"s3","s4":"s5","s5":"s5","s6":"s1","s7":"s4","s8":"s1"},"d":{"s0":"s0","s1":"s4","s2":"s8","s3":"s4","s4":"s2","s5":"s2","s6":"s5","s7":"s5","s8":"s2"},"e":{"s0":"s3","s1":"s4","s2":"s6","s3":"s6","s4":"s1","s5":"s5","s6":"s7","s7":"s7","s8":"s8"},"f":{"s0":"s7","s1":"s6","s2":"s0","s3":"s6","s4":"s8","s5":"s8","s6":"s0","s7":"s7","s8":"s3"},"g":{"s0":"s4","s1":"s6","s2":"s6","s3":"s8","s4":"s3","s5":"s3","s6":"s7","s7":"s4","s8":"s6"},"h":{"s0":"s5","s1":"s3","s2":"s2","s3":"s6","s4":"s8","s5":"s1","s6":"s2","s7":"s2","s8":"s6"}} | Given the following FSM:
a b c d e f g h
s0 s3 s2 s5 s0 s3 s7 s4 s5
s1 s8 s8 s0 s4 s4 s6 s6 s3
s2 s6 s3 s1 s8 s6 s0 s6 s2
s3 s1 s2 s3 s4 s6 s6 s8 s6
s4 s2 s6 s5 s2 s1 s8 s3 s8
s5 s0 s0 s5 s2 s5 s8 s3 s1
s6 s2 s0 s1 s5 s7 s0 s7 s2
s7 s1 s6 s4 s5 s7 s7 s4 s2
s8 s3 s8 s1 s2 s8 s3 s6 s6
If we are in state s5 and the input is c, what state will we be in next? | s5 |
8e399644-72dc-4276-8482-a6f94dd83a66 | 8de9c8b6-cedd-4336-9008-bbce054f3a48 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5"], "alphabets": "abcdefghi", "accepting_states": ["s1", "s5", "s0", "s3", "s4", "s2"], "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": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s1","s1":"s1","s2":"s5","s3":"s1","s4":"s4","s5":"s1"},"b":{"s0":"s1","s1":"s5","s2":"s5","s3":"s5","s4":"s3","s5":"s4"},"c":{"s0":"s1","s1":"s2","s2":"s4","s3":"s5","s4":"s3","s5":"s0"},"d":{"s0":"s4","s1":"s0","s2":"s2","s3":"s0","s4":"s5","s5":"s4"},"e":{"s0":"s3","s1":"s4","s2":"s1","s3":"s0","s4":"s1","s5":"s4"},"f":{"s0":"s4","s1":"s3","s2":"s3","s3":"s4","s4":"s0","s5":"s5"},"g":{"s0":"s1","s1":"s2","s2":"s3","s3":"s2","s4":"s2","s5":"s4"},"h":{"s0":"s2","s1":"s4","s2":"s5","s3":"s2","s4":"s1","s5":"s1"},"i":{"s0":"s2","s1":"s0","s2":"s2","s3":"s3","s4":"s4","s5":"s5"}} | Given the following FSM:
a b c d e f g h i
s0 s1 s1 s1 s4 s3 s4 s1 s2 s2
s1 s1 s5 s2 s0 s4 s3 s2 s4 s0
s2 s5 s5 s4 s2 s1 s3 s3 s5 s2
s3 s1 s5 s5 s0 s0 s4 s2 s2 s3
s4 s4 s3 s3 s5 s1 s0 s2 s1 s4
s5 s1 s4 s0 s4 s4 s5 s4 s1 s5
If we are in state s0 and the input is g, what state will we be in next? | s1 |
60279764-e13a-4c0f-a101-90652d8dce90 | 7a9de025-f6d7-4f20-9902-3cd344162ade | {"states": ["s0", "s1", "s3", "s4", "s5", "s6"], "alphabets": "abc", "accepting_states": ["s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}]} | 3 | {"a":{"s0":"s0","s1":"s4","s3":"s0","s4":"s0","s5":"s6","s6":"s1"},"b":{"s0":"s3","s1":"s4","s3":"s5","s4":"s6","s5":"s5","s6":"s0"},"c":{"s0":"s0","s1":"s0","s3":"s3","s4":"s1","s5":"s3","s6":"s0"}} | Given the following FSM:
a b c
s0 s0 s3 s0
s1 s4 s4 s0
s3 s0 s5 s3
s4 s0 s6 s1
s5 s6 s5 s3
s6 s1 s0 s0
If we are in state s1 and the input is b, what state will we be in next? | s4 |
06367893-1aec-4ec7-8794-35c96727db46 | e0a7385c-072b-4b05-9ccf-230066991698 | {"states": ["s0", "s1", "s2", "s3"], "alphabets": "abcdefghi", "accepting_states": ["s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "i", "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": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s1"]}, {"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": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s2","s1":"s2","s2":"s1","s3":"s2"},"b":{"s0":"s2","s1":"s1","s2":"s2","s3":"s1"},"c":{"s0":"s2","s1":"s0","s2":"s1","s3":"s0"},"d":{"s0":"s0","s1":"s3","s2":"s2","s3":"s3"},"e":{"s0":"s2","s1":"s2","s2":"s1","s3":"s2"},"f":{"s0":"s3","s1":"s2","s2":"s3","s3":"s3"},"g":{"s0":"s0","s1":"s1","s2":"s1","s3":"s3"},"h":{"s0":"s3","s1":"s1","s2":"s2","s3":"s3"},"i":{"s0":"s2","s1":"s1","s2":"s1","s3":"s2"}} | Given the following FSM:
a b c d e f g h i
s0 s2 s2 s2 s0 s2 s3 s0 s3 s2
s1 s2 s1 s0 s3 s2 s2 s1 s1 s1
s2 s1 s2 s1 s2 s1 s3 s1 s2 s1
s3 s2 s1 s0 s3 s2 s3 s3 s3 s2
If we are in state s1 and the input is f, what state will we be in next? | s2 |
20d70275-a45f-4ba5-a594-100100d21ca7 | 6f67bd24-824b-4241-85c5-98f8aa7a7bab | {"states": ["s0"], "alphabets": "ab", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}]} | 1 | {"a":{"s0":"s0"},"b":{"s0":"s0"}} | Given the following FSM:
a b
s0 s0 s0
If we are in state s0 and the input is b, what state will we be in next? | s0 |
4737bf41-8188-4768-b1aa-20d1cfb04f30 | 917a8f1f-4091-40c0-abdc-a0e2bac4bfa8 | {"states": ["s0", "s2", "s4", "s6"], "alphabets": "a", "accepting_states": ["s4", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s6","s2":"s4","s4":"s0","s6":"s2"}} | Given the following FSM:
a
s0 s6
s2 s4
s4 s0
s6 s2
If we are in state s0 and the input is a, what state will we be in next? | s6 |
cfbcc5c5-012a-43bc-aa1e-f64d7e098191 | 0361d89c-ad0d-4319-b5b4-976b2bc56cc8 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s10", "s12", "s13"], "alphabets": "abc", "accepting_states": ["s6", "s8", "s10", "s2", "s0", "s13", "s1", "s5", "s7", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s13", "symbol": "c", "toStates": ["s13"]}]} | 4 | {"a":{"s0":"s10","s1":"s13","s2":"s3","s3":"s8","s4":"s5","s5":"s0","s6":"s5","s7":"s5","s8":"s13","s10":"s6","s12":"s7","s13":"s12"},"b":{"s0":"s1","s1":"s6","s2":"s10","s3":"s1","s4":"s1","s5":"s1","s6":"s13","s7":"s5","s8":"s13","s10":"s5","s12":"s5","s13":"s13"},"c":{"s0":"s2","s1":"s7","s2":"s12","s3":"s5","s4":"s6","s5":"s4","s6":"s3","s7":"s0","s8":"s5","s10":"s6","s12":"s7","s13":"s13"}} | Given the following FSM:
a b c
s0 s10 s1 s2
s1 s13 s6 s7
s2 s3 s10 s12
s3 s8 s1 s5
s4 s5 s1 s6
s5 s0 s1 s4
s6 s5 s13 s3
s7 s5 s5 s0
s8 s13 s13 s5
s10 s6 s5 s6
s12 s7 s5 s7
s13 s12 s13 s13
If we are in state s10 and the input is b, what state will we be in next? | s5 |
eb072909-7e15-4ece-b645-5219f06b7e16 | fe3c0ffd-d73a-4189-9afb-94bef14d94bf | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s1", "s5", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s3","s1":"s0","s2":"s2","s3":"s0","s4":"s7","s5":"s1","s6":"s6","s7":"s8","s8":"s8"},"b":{"s0":"s3","s1":"s8","s2":"s3","s3":"s2","s4":"s7","s5":"s5","s6":"s6","s7":"s5","s8":"s2"},"c":{"s0":"s5","s1":"s3","s2":"s1","s3":"s3","s4":"s2","s5":"s2","s6":"s4","s7":"s7","s8":"s8"},"d":{"s0":"s4","s1":"s0","s2":"s4","s3":"s1","s4":"s5","s5":"s1","s6":"s3","s7":"s1","s8":"s1"},"e":{"s0":"s8","s1":"s3","s2":"s5","s3":"s5","s4":"s0","s5":"s3","s6":"s3","s7":"s2","s8":"s7"},"f":{"s0":"s0","s1":"s1","s2":"s2","s3":"s6","s4":"s2","s5":"s2","s6":"s3","s7":"s2","s8":"s5"},"g":{"s0":"s3","s1":"s3","s2":"s2","s3":"s2","s4":"s6","s5":"s2","s6":"s5","s7":"s7","s8":"s3"}} | Given the following FSM:
a b c d e f g
s0 s3 s3 s5 s4 s8 s0 s3
s1 s0 s8 s3 s0 s3 s1 s3
s2 s2 s3 s1 s4 s5 s2 s2
s3 s0 s2 s3 s1 s5 s6 s2
s4 s7 s7 s2 s5 s0 s2 s6
s5 s1 s5 s2 s1 s3 s2 s2
s6 s6 s6 s4 s3 s3 s3 s5
s7 s8 s5 s7 s1 s2 s2 s7
s8 s8 s2 s8 s1 s7 s5 s3
If we are in state s5 and the input is c, what state will we be in next? | s2 |
09b706ba-5721-4480-bd35-74b223362ea6 | 3d691ef5-b642-47ee-a5b2-4d93acba5c44 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12", "s13"], "alphabets": "abcd", "accepting_states": ["s9", "s4", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s13", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s13", "symbol": "d", "toStates": ["s0"]}]} | 4 | {"a":{"s0":"s3","s1":"s9","s2":"s6","s3":"s0","s4":"s3","s5":"s5","s6":"s6","s7":"s9","s8":"s5","s9":"s1","s10":"s9","s11":"s8","s12":"s9","s13":"s12"},"b":{"s0":"s5","s1":"s8","s2":"s12","s3":"s11","s4":"s8","s5":"s11","s6":"s3","s7":"s1","s8":"s9","s9":"s10","s10":"s10","s11":"s13","s12":"s13","s13":"s8"},"c":{"s0":"s8","s1":"s10","s2":"s7","s3":"s0","s4":"s1","s5":"s8","s6":"s7","s7":"s2","s8":"s4","s9":"s12","s10":"s10","s11":"s4","s12":"s6","s13":"s7"},"d":{"s0":"s4","s1":"s1","s2":"s9","s3":"s5","s4":"s2","s5":"s2","s6":"s10","s7":"s3","s8":"s9","s9":"s12","s10":"s3","s11":"s2","s12":"s3","s13":"s0"}} | Given the following FSM:
a b c d
s0 s3 s5 s8 s4
s1 s9 s8 s10 s1
s2 s6 s12 s7 s9
s3 s0 s11 s0 s5
s4 s3 s8 s1 s2
s5 s5 s11 s8 s2
s6 s6 s3 s7 s10
s7 s9 s1 s2 s3
s8 s5 s9 s4 s9
s9 s1 s10 s12 s12
s10 s9 s10 s10 s3
s11 s8 s13 s4 s2
s12 s9 s13 s6 s3
s13 s12 s8 s7 s0
If we are in state s7 and the input is b, what state will we be in next? | s1 |
a05a4fc0-e782-4f0d-991d-9c0c01606f31 | fd824fbb-5b5e-4d6e-941e-b9d5a4f66e88 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6"], "alphabets": "abcdefghi", "accepting_states": ["s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s0"]}]} | 4 | {"a":{"s0":"s5","s1":"s4","s2":"s4","s3":"s1","s4":"s3","s5":"s5","s6":"s3"},"b":{"s0":"s6","s1":"s2","s2":"s0","s3":"s4","s4":"s1","s5":"s6","s6":"s1"},"c":{"s0":"s6","s1":"s5","s2":"s6","s3":"s0","s4":"s1","s5":"s6","s6":"s5"},"d":{"s0":"s3","s1":"s5","s2":"s3","s3":"s4","s4":"s5","s5":"s2","s6":"s0"},"e":{"s0":"s2","s1":"s5","s2":"s4","s3":"s4","s4":"s5","s5":"s3","s6":"s3"},"f":{"s0":"s5","s1":"s6","s2":"s0","s3":"s1","s4":"s0","s5":"s1","s6":"s3"},"g":{"s0":"s5","s1":"s6","s2":"s5","s3":"s1","s4":"s3","s5":"s6","s6":"s5"},"h":{"s0":"s0","s1":"s5","s2":"s5","s3":"s1","s4":"s0","s5":"s5","s6":"s2"},"i":{"s0":"s1","s1":"s4","s2":"s1","s3":"s3","s4":"s6","s5":"s6","s6":"s0"}} | Given the following FSM:
a b c d e f g h i
s0 s5 s6 s6 s3 s2 s5 s5 s0 s1
s1 s4 s2 s5 s5 s5 s6 s6 s5 s4
s2 s4 s0 s6 s3 s4 s0 s5 s5 s1
s3 s1 s4 s0 s4 s4 s1 s1 s1 s3
s4 s3 s1 s1 s5 s5 s0 s3 s0 s6
s5 s5 s6 s6 s2 s3 s1 s6 s5 s6
s6 s3 s1 s5 s0 s3 s3 s5 s2 s0
If we are in state s6 and the input is e, what state will we be in next? | s3 |
0546c620-2e35-41b5-a34a-24459db82f71 | 6187ffc0-740f-41c6-9cf6-a2f65f1ac748 | {"states": ["s0", "s1", "s3", "s4", "s5", "s6", "s7"], "alphabets": "ab", "accepting_states": ["s5", "s6", "s1", "s3", "s4", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s1","s1":"s6","s3":"s4","s4":"s3","s5":"s4","s6":"s5","s7":"s3"},"b":{"s0":"s5","s1":"s4","s3":"s5","s4":"s7","s5":"s0","s6":"s0","s7":"s3"}} | Given the following FSM:
a b
s0 s1 s5
s1 s6 s4
s3 s4 s5
s4 s3 s7
s5 s4 s0
s6 s5 s0
s7 s3 s3
If we are in state s0 and the input is b, what state will we be in next? | s5 |
80a9a60d-0cc5-447f-a48e-6b9185138745 | d9a09af3-f209-4330-a71d-093b5c8b1edd | {"states": ["s0", "s1", "s2", "s3", "s4", "s5"], "alphabets": "abcdef", "accepting_states": ["s2", "s5", "s0", "s3", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}]} | 3 | {"a":{"s0":"s2","s1":"s0","s2":"s3","s3":"s4","s4":"s4","s5":"s5"},"b":{"s0":"s1","s1":"s1","s2":"s5","s3":"s5","s4":"s1","s5":"s0"},"c":{"s0":"s5","s1":"s5","s2":"s2","s3":"s3","s4":"s1","s5":"s4"},"d":{"s0":"s0","s1":"s1","s2":"s1","s3":"s1","s4":"s1","s5":"s4"},"e":{"s0":"s0","s1":"s0","s2":"s1","s3":"s2","s4":"s3","s5":"s5"},"f":{"s0":"s5","s1":"s5","s2":"s2","s3":"s5","s4":"s2","s5":"s0"}} | Given the following FSM:
a b c d e f
s0 s2 s1 s5 s0 s0 s5
s1 s0 s1 s5 s1 s0 s5
s2 s3 s5 s2 s1 s1 s2
s3 s4 s5 s3 s1 s2 s5
s4 s4 s1 s1 s1 s3 s2
s5 s5 s0 s4 s4 s5 s0
If we are in state s3 and the input is a, what state will we be in next? | s4 |
b79f66b2-65af-44aa-a29b-05dd78ab3e23 | eaaecc78-5fa5-4758-8eba-57040608286c | {"states": ["s0"], "alphabets": "abcdefghi", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s0"]}]} | 3 | {"a":{"s0":"s0"},"b":{"s0":"s0"},"c":{"s0":"s0"},"d":{"s0":"s0"},"e":{"s0":"s0"},"f":{"s0":"s0"},"g":{"s0":"s0"},"h":{"s0":"s0"},"i":{"s0":"s0"}} | Given the following FSM:
a b c d e f g h i
s0 s0 s0 s0 s0 s0 s0 s0 s0 s0
If we are in state s0 and the input is h, what state will we be in next? | s0 |
852a9ef2-047e-45b6-94cd-92261dd641cb | c20a7d79-ce5b-489f-b122-276d087b3289 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6"], "alphabets": "abcdefghi", "accepting_states": ["s6", "s2", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s0"]}]} | 4 | {"a":{"s0":"s6","s1":"s4","s2":"s5","s3":"s0","s4":"s4","s5":"s5","s6":"s0"},"b":{"s0":"s6","s1":"s4","s2":"s6","s3":"s2","s4":"s5","s5":"s3","s6":"s5"},"c":{"s0":"s1","s1":"s5","s2":"s3","s3":"s0","s4":"s4","s5":"s1","s6":"s5"},"d":{"s0":"s3","s1":"s2","s2":"s0","s3":"s0","s4":"s1","s5":"s1","s6":"s4"},"e":{"s0":"s0","s1":"s0","s2":"s5","s3":"s4","s4":"s3","s5":"s1","s6":"s1"},"f":{"s0":"s4","s1":"s6","s2":"s1","s3":"s2","s4":"s2","s5":"s4","s6":"s6"},"g":{"s0":"s1","s1":"s6","s2":"s3","s3":"s4","s4":"s6","s5":"s3","s6":"s0"},"h":{"s0":"s5","s1":"s5","s2":"s5","s3":"s4","s4":"s0","s5":"s5","s6":"s1"},"i":{"s0":"s4","s1":"s5","s2":"s0","s3":"s5","s4":"s1","s5":"s1","s6":"s0"}} | Given the following FSM:
a b c d e f g h i
s0 s6 s6 s1 s3 s0 s4 s1 s5 s4
s1 s4 s4 s5 s2 s0 s6 s6 s5 s5
s2 s5 s6 s3 s0 s5 s1 s3 s5 s0
s3 s0 s2 s0 s0 s4 s2 s4 s4 s5
s4 s4 s5 s4 s1 s3 s2 s6 s0 s1
s5 s5 s3 s1 s1 s1 s4 s3 s5 s1
s6 s0 s5 s5 s4 s1 s6 s0 s1 s0
If we are in state s4 and the input is f, what state will we be in next? | s2 |
0b2f38b1-2411-4795-82b6-92980db02292 | 5b3ca9d2-52e8-4750-9dfd-f60e8dc08e1c | {"states": ["s0", "s1", "s2", "s3"], "alphabets": "abcdefg", "accepting_states": ["s0", "s2", "s1", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"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": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s1","s1":"s2","s2":"s3","s3":"s1"},"b":{"s0":"s3","s1":"s1","s2":"s2","s3":"s3"},"c":{"s0":"s1","s1":"s2","s2":"s0","s3":"s1"},"d":{"s0":"s3","s1":"s3","s2":"s2","s3":"s1"},"e":{"s0":"s3","s1":"s1","s2":"s0","s3":"s1"},"f":{"s0":"s3","s1":"s0","s2":"s2","s3":"s3"},"g":{"s0":"s1","s1":"s0","s2":"s0","s3":"s3"}} | Given the following FSM:
a b c d e f g
s0 s1 s3 s1 s3 s3 s3 s1
s1 s2 s1 s2 s3 s1 s0 s0
s2 s3 s2 s0 s2 s0 s2 s0
s3 s1 s3 s1 s1 s1 s3 s3
If we are in state s0 and the input is g, what state will we be in next? | s1 |
c4c5dec6-93e0-46eb-a606-ee5e03222e40 | f934a10c-4d5d-4083-a394-df9804c68ac9 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s0", "s6", "s3", "s5", "s2", "s7", "s1", "s4", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s1","s1":"s1","s2":"s0","s3":"s8","s4":"s2","s5":"s7","s6":"s2","s7":"s1","s8":"s4"},"b":{"s0":"s6","s1":"s3","s2":"s3","s3":"s6","s4":"s6","s5":"s2","s6":"s4","s7":"s2","s8":"s6"},"c":{"s0":"s0","s1":"s6","s2":"s2","s3":"s3","s4":"s5","s5":"s4","s6":"s6","s7":"s2","s8":"s5"},"d":{"s0":"s4","s1":"s7","s2":"s0","s3":"s5","s4":"s1","s5":"s1","s6":"s3","s7":"s2","s8":"s5"},"e":{"s0":"s3","s1":"s5","s2":"s4","s3":"s2","s4":"s3","s5":"s8","s6":"s6","s7":"s2","s8":"s5"},"f":{"s0":"s6","s1":"s0","s2":"s3","s3":"s3","s4":"s8","s5":"s1","s6":"s1","s7":"s4","s8":"s3"},"g":{"s0":"s1","s1":"s2","s2":"s7","s3":"s8","s4":"s1","s5":"s5","s6":"s3","s7":"s3","s8":"s8"}} | Given the following FSM:
a b c d e f g
s0 s1 s6 s0 s4 s3 s6 s1
s1 s1 s3 s6 s7 s5 s0 s2
s2 s0 s3 s2 s0 s4 s3 s7
s3 s8 s6 s3 s5 s2 s3 s8
s4 s2 s6 s5 s1 s3 s8 s1
s5 s7 s2 s4 s1 s8 s1 s5
s6 s2 s4 s6 s3 s6 s1 s3
s7 s1 s2 s2 s2 s2 s4 s3
s8 s4 s6 s5 s5 s5 s3 s8
If we are in state s2 and the input is g, what state will we be in next? | s7 |
ea40241d-2ffb-4082-9e33-30bfde0163a5 | e0c4ee34-8cbf-4995-9edb-ac385b830393 | {"states": ["s0", "s1", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11"], "alphabets": "ab", "accepting_states": ["s6", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s0"]}]} | 3 | {"a":{"s0":"s9","s1":"s8","s3":"s4","s4":"s11","s5":"s3","s6":"s7","s7":"s10","s8":"s8","s9":"s7","s10":"s6","s11":"s1"},"b":{"s0":"s8","s1":"s1","s3":"s5","s4":"s0","s5":"s8","s6":"s8","s7":"s3","s8":"s8","s9":"s0","s10":"s9","s11":"s0"}} | Given the following FSM:
a b
s0 s9 s8
s1 s8 s1
s3 s4 s5
s4 s11 s0
s5 s3 s8
s6 s7 s8
s7 s10 s3
s8 s8 s8
s9 s7 s0
s10 s6 s9
s11 s1 s0
If we are in state s8 and the input is a, what state will we be in next? | s8 |
892446c0-97e0-4b4b-a2f2-a1c59c7138ee | 76a063e8-fa8b-441e-9f37-8d0afec0f646 | {"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 |
5a6e0d81-a6c9-4f2f-b84e-bcef9be56f5b | 19a395cf-23e7-49b7-9f2c-3d845cf8b58a | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcdefghi", "accepting_states": ["s7", "s8", "s1", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "i", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s2","s1":"s4","s2":"s7","s3":"s0","s4":"s6","s5":"s2","s6":"s2","s7":"s8","s8":"s5","s9":"s3"},"b":{"s0":"s2","s1":"s5","s2":"s8","s3":"s1","s4":"s5","s5":"s5","s6":"s6","s7":"s7","s8":"s7","s9":"s1"},"c":{"s0":"s7","s1":"s9","s2":"s5","s3":"s9","s4":"s4","s5":"s7","s6":"s4","s7":"s0","s8":"s5","s9":"s5"},"d":{"s0":"s7","s1":"s9","s2":"s7","s3":"s5","s4":"s6","s5":"s4","s6":"s8","s7":"s9","s8":"s5","s9":"s5"},"e":{"s0":"s7","s1":"s7","s2":"s1","s3":"s8","s4":"s0","s5":"s9","s6":"s0","s7":"s4","s8":"s2","s9":"s5"},"f":{"s0":"s1","s1":"s0","s2":"s4","s3":"s2","s4":"s8","s5":"s9","s6":"s6","s7":"s2","s8":"s7","s9":"s5"},"g":{"s0":"s7","s1":"s3","s2":"s0","s3":"s7","s4":"s3","s5":"s4","s6":"s1","s7":"s2","s8":"s2","s9":"s5"},"h":{"s0":"s9","s1":"s5","s2":"s1","s3":"s9","s4":"s6","s5":"s6","s6":"s2","s7":"s9","s8":"s1","s9":"s5"},"i":{"s0":"s8","s1":"s8","s2":"s3","s3":"s2","s4":"s6","s5":"s4","s6":"s9","s7":"s1","s8":"s3","s9":"s8"}} | Given the following FSM:
a b c d e f g h i
s0 s2 s2 s7 s7 s7 s1 s7 s9 s8
s1 s4 s5 s9 s9 s7 s0 s3 s5 s8
s2 s7 s8 s5 s7 s1 s4 s0 s1 s3
s3 s0 s1 s9 s5 s8 s2 s7 s9 s2
s4 s6 s5 s4 s6 s0 s8 s3 s6 s6
s5 s2 s5 s7 s4 s9 s9 s4 s6 s4
s6 s2 s6 s4 s8 s0 s6 s1 s2 s9
s7 s8 s7 s0 s9 s4 s2 s2 s9 s1
s8 s5 s7 s5 s5 s2 s7 s2 s1 s3
s9 s3 s1 s5 s5 s5 s5 s5 s5 s8
If we are in state s3 and the input is c, what state will we be in next? | s9 |
c3196093-07c5-4835-beaf-3520a2f9e912 | f9a13f8f-0767-44ff-b4ae-81c54f7d0625 | {"states": ["s0", "s1", "s2"], "alphabets": "ab", "accepting_states": ["s1", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}]} | 2 | {"a":{"s0":"s1","s1":"s1","s2":"s2"},"b":{"s0":"s2","s1":"s1","s2":"s2"}} | Given the following FSM:
a b
s0 s1 s2
s1 s1 s1
s2 s2 s2
If we are in state s2 and the input is a, what state will we be in next? | s2 |
bf41bbce-7afc-4d64-a621-bd531423144e | 30e25dab-f150-4f1b-843d-3c2fcf06cb6a | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefghi", "accepting_states": ["s7", "s1", "s2", "s0", "s3", "s6", "s4", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s8","s1":"s2","s2":"s6","s3":"s4","s4":"s5","s5":"s1","s6":"s3","s7":"s6","s8":"s6"},"b":{"s0":"s6","s1":"s8","s2":"s0","s3":"s7","s4":"s4","s5":"s0","s6":"s4","s7":"s5","s8":"s0"},"c":{"s0":"s4","s1":"s7","s2":"s5","s3":"s7","s4":"s6","s5":"s4","s6":"s7","s7":"s6","s8":"s6"},"d":{"s0":"s6","s1":"s2","s2":"s4","s3":"s8","s4":"s3","s5":"s5","s6":"s3","s7":"s1","s8":"s3"},"e":{"s0":"s3","s1":"s6","s2":"s7","s3":"s5","s4":"s2","s5":"s0","s6":"s2","s7":"s1","s8":"s2"},"f":{"s0":"s0","s1":"s7","s2":"s6","s3":"s0","s4":"s3","s5":"s0","s6":"s7","s7":"s2","s8":"s0"},"g":{"s0":"s7","s1":"s8","s2":"s2","s3":"s2","s4":"s1","s5":"s4","s6":"s1","s7":"s4","s8":"s8"},"h":{"s0":"s4","s1":"s4","s2":"s8","s3":"s4","s4":"s8","s5":"s2","s6":"s0","s7":"s3","s8":"s4"},"i":{"s0":"s6","s1":"s0","s2":"s4","s3":"s6","s4":"s2","s5":"s4","s6":"s5","s7":"s1","s8":"s3"}} | Given the following FSM:
a b c d e f g h i
s0 s8 s6 s4 s6 s3 s0 s7 s4 s6
s1 s2 s8 s7 s2 s6 s7 s8 s4 s0
s2 s6 s0 s5 s4 s7 s6 s2 s8 s4
s3 s4 s7 s7 s8 s5 s0 s2 s4 s6
s4 s5 s4 s6 s3 s2 s3 s1 s8 s2
s5 s1 s0 s4 s5 s0 s0 s4 s2 s4
s6 s3 s4 s7 s3 s2 s7 s1 s0 s5
s7 s6 s5 s6 s1 s1 s2 s4 s3 s1
s8 s6 s0 s6 s3 s2 s0 s8 s4 s3
If we are in state s1 and the input is b, what state will we be in next? | s8 |
7e54c7b1-1c06-4168-83ea-7823364b6d8a | 3c994ba4-57d1-4f4b-a3af-b49154a52187 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7"], "alphabets": "abcdefg", "accepting_states": ["s0", "s7", "s5", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s2"]}]} | 4 | {"a":{"s0":"s7","s1":"s1","s2":"s5","s3":"s3","s4":"s1","s5":"s7","s6":"s1","s7":"s6"},"b":{"s0":"s7","s1":"s6","s2":"s3","s3":"s0","s4":"s7","s5":"s0","s6":"s7","s7":"s7"},"c":{"s0":"s0","s1":"s1","s2":"s5","s3":"s3","s4":"s3","s5":"s0","s6":"s3","s7":"s2"},"d":{"s0":"s1","s1":"s1","s2":"s7","s3":"s2","s4":"s4","s5":"s2","s6":"s4","s7":"s7"},"e":{"s0":"s6","s1":"s3","s2":"s5","s3":"s4","s4":"s0","s5":"s0","s6":"s4","s7":"s3"},"f":{"s0":"s0","s1":"s1","s2":"s0","s3":"s3","s4":"s0","s5":"s5","s6":"s2","s7":"s0"},"g":{"s0":"s7","s1":"s5","s2":"s1","s3":"s4","s4":"s7","s5":"s5","s6":"s1","s7":"s2"}} | Given the following FSM:
a b c d e f g
s0 s7 s7 s0 s1 s6 s0 s7
s1 s1 s6 s1 s1 s3 s1 s5
s2 s5 s3 s5 s7 s5 s0 s1
s3 s3 s0 s3 s2 s4 s3 s4
s4 s1 s7 s3 s4 s0 s0 s7
s5 s7 s0 s0 s2 s0 s5 s5
s6 s1 s7 s3 s4 s4 s2 s1
s7 s6 s7 s2 s7 s3 s0 s2
If we are in state s7 and the input is e, what state will we be in next? | s3 |
44b6da7b-d2f7-40d7-96bf-61fc08096a44 | d8c4e8b3-1d23-4c7f-bfce-fe45c715cff3 | {"states": ["s0"], "alphabets": "abcdefghi", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s0"]}]} | 3 | {"a":{"s0":"s0"},"b":{"s0":"s0"},"c":{"s0":"s0"},"d":{"s0":"s0"},"e":{"s0":"s0"},"f":{"s0":"s0"},"g":{"s0":"s0"},"h":{"s0":"s0"},"i":{"s0":"s0"}} | Given the following FSM:
a b c d e f g h i
s0 s0 s0 s0 s0 s0 s0 s0 s0 s0
If we are in state s0 and the input is h, what state will we be in next? | s0 |
d4c62a69-b64a-4f36-aa9c-87c4bd79e9e6 | 82273399-6b6c-4920-af50-b5bf33e7e97d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abcd", "accepting_states": ["s6", "s2", "s10"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s12","s1":"s4","s2":"s4","s3":"s1","s4":"s2","s5":"s6","s6":"s9","s7":"s1","s8":"s3","s9":"s8","s10":"s5","s11":"s10","s12":"s0"},"b":{"s0":"s0","s1":"s5","s2":"s11","s3":"s12","s4":"s0","s5":"s10","s6":"s12","s7":"s12","s8":"s5","s9":"s1","s10":"s11","s11":"s9","s12":"s5"},"c":{"s0":"s11","s1":"s3","s2":"s1","s3":"s9","s4":"s6","s5":"s5","s6":"s12","s7":"s5","s8":"s5","s9":"s10","s10":"s7","s11":"s10","s12":"s10"},"d":{"s0":"s5","s1":"s7","s2":"s9","s3":"s7","s4":"s10","s5":"s5","s6":"s6","s7":"s8","s8":"s10","s9":"s6","s10":"s2","s11":"s7","s12":"s1"}} | Given the following FSM:
a b c d
s0 s12 s0 s11 s5
s1 s4 s5 s3 s7
s2 s4 s11 s1 s9
s3 s1 s12 s9 s7
s4 s2 s0 s6 s10
s5 s6 s10 s5 s5
s6 s9 s12 s12 s6
s7 s1 s12 s5 s8
s8 s3 s5 s5 s10
s9 s8 s1 s10 s6
s10 s5 s11 s7 s2
s11 s10 s9 s10 s7
s12 s0 s5 s10 s1
If we are in state s10 and the input is c, what state will we be in next? | s7 |
eda6c40c-9207-4d02-8468-c4f15e660137 | 69a8c04f-5a2a-4f25-ab59-5b94a2c5b925 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s8", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s3","s1":"s0","s2":"s4","s3":"s5","s4":"s5","s5":"s3","s6":"s1","s7":"s7","s8":"s6"},"b":{"s0":"s3","s1":"s5","s2":"s1","s3":"s1","s4":"s5","s5":"s4","s6":"s6","s7":"s7","s8":"s6"},"c":{"s0":"s7","s1":"s6","s2":"s7","s3":"s0","s4":"s1","s5":"s8","s6":"s5","s7":"s6","s8":"s0"},"d":{"s0":"s6","s1":"s6","s2":"s1","s3":"s8","s4":"s4","s5":"s2","s6":"s4","s7":"s8","s8":"s8"},"e":{"s0":"s4","s1":"s6","s2":"s6","s3":"s6","s4":"s8","s5":"s4","s6":"s5","s7":"s2","s8":"s4"},"f":{"s0":"s4","s1":"s6","s2":"s3","s3":"s6","s4":"s1","s5":"s7","s6":"s1","s7":"s5","s8":"s7"},"g":{"s0":"s6","s1":"s4","s2":"s7","s3":"s2","s4":"s1","s5":"s5","s6":"s1","s7":"s3","s8":"s6"},"h":{"s0":"s0","s1":"s3","s2":"s4","s3":"s5","s4":"s1","s5":"s8","s6":"s4","s7":"s7","s8":"s3"}} | Given the following FSM:
a b c d e f g h
s0 s3 s3 s7 s6 s4 s4 s6 s0
s1 s0 s5 s6 s6 s6 s6 s4 s3
s2 s4 s1 s7 s1 s6 s3 s7 s4
s3 s5 s1 s0 s8 s6 s6 s2 s5
s4 s5 s5 s1 s4 s8 s1 s1 s1
s5 s3 s4 s8 s2 s4 s7 s5 s8
s6 s1 s6 s5 s4 s5 s1 s1 s4
s7 s7 s7 s6 s8 s2 s5 s3 s7
s8 s6 s6 s0 s8 s4 s7 s6 s3
If we are in state s3 and the input is c, what state will we be in next? | s0 |
8572b955-da85-467f-a220-aff003f7c982 | fd012cd5-0f2a-4dbe-bf6f-0445dafe5a3b | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefghi", "accepting_states": ["s7", "s1", "s6", "s0", "s2", "s4", "s5", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s1","s1":"s5","s2":"s5","s3":"s5","s4":"s8","s5":"s4","s6":"s3","s7":"s7","s8":"s4"},"b":{"s0":"s8","s1":"s4","s2":"s3","s3":"s0","s4":"s5","s5":"s1","s6":"s5","s7":"s4","s8":"s1"},"c":{"s0":"s5","s1":"s2","s2":"s3","s3":"s2","s4":"s2","s5":"s2","s6":"s6","s7":"s0","s8":"s6"},"d":{"s0":"s6","s1":"s4","s2":"s5","s3":"s7","s4":"s6","s5":"s6","s6":"s0","s7":"s3","s8":"s5"},"e":{"s0":"s3","s1":"s0","s2":"s5","s3":"s1","s4":"s7","s5":"s8","s6":"s6","s7":"s5","s8":"s4"},"f":{"s0":"s8","s1":"s3","s2":"s5","s3":"s1","s4":"s1","s5":"s1","s6":"s8","s7":"s7","s8":"s7"},"g":{"s0":"s6","s1":"s5","s2":"s2","s3":"s1","s4":"s3","s5":"s5","s6":"s2","s7":"s4","s8":"s6"},"h":{"s0":"s7","s1":"s1","s2":"s6","s3":"s0","s4":"s3","s5":"s2","s6":"s0","s7":"s1","s8":"s2"},"i":{"s0":"s4","s1":"s3","s2":"s6","s3":"s1","s4":"s7","s5":"s7","s6":"s8","s7":"s5","s8":"s3"}} | Given the following FSM:
a b c d e f g h i
s0 s1 s8 s5 s6 s3 s8 s6 s7 s4
s1 s5 s4 s2 s4 s0 s3 s5 s1 s3
s2 s5 s3 s3 s5 s5 s5 s2 s6 s6
s3 s5 s0 s2 s7 s1 s1 s1 s0 s1
s4 s8 s5 s2 s6 s7 s1 s3 s3 s7
s5 s4 s1 s2 s6 s8 s1 s5 s2 s7
s6 s3 s5 s6 s0 s6 s8 s2 s0 s8
s7 s7 s4 s0 s3 s5 s7 s4 s1 s5
s8 s4 s1 s6 s5 s4 s7 s6 s2 s3
If we are in state s3 and the input is e, what state will we be in next? | s1 |
c263ac27-4270-4f36-b985-5840795b3d05 | 2a580dc1-848c-4011-bd36-3ecca3993452 | {"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 |
5d8078d7-795b-407d-836c-a5dd107d0775 | 685c0152-c151-4546-a404-f80f00b8d209 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefghij", "accepting_states": ["s8", "s6", "s3", "s1", "s7", "s2", "s4", "s0", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "j", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "j", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "j", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "j", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "j", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "j", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "j", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "j", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "j", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s2","s1":"s3","s2":"s6","s3":"s3","s4":"s6","s5":"s1","s6":"s8","s7":"s6","s8":"s0"},"b":{"s0":"s3","s1":"s1","s2":"s0","s3":"s1","s4":"s3","s5":"s4","s6":"s5","s7":"s4","s8":"s0"},"c":{"s0":"s5","s1":"s5","s2":"s8","s3":"s1","s4":"s3","s5":"s4","s6":"s7","s7":"s1","s8":"s2"},"d":{"s0":"s8","s1":"s7","s2":"s2","s3":"s5","s4":"s4","s5":"s8","s6":"s5","s7":"s5","s8":"s1"},"e":{"s0":"s8","s1":"s4","s2":"s8","s3":"s7","s4":"s4","s5":"s2","s6":"s8","s7":"s7","s8":"s6"},"f":{"s0":"s6","s1":"s1","s2":"s5","s3":"s3","s4":"s8","s5":"s8","s6":"s7","s7":"s1","s8":"s0"},"g":{"s0":"s1","s1":"s0","s2":"s2","s3":"s6","s4":"s3","s5":"s7","s6":"s2","s7":"s6","s8":"s1"},"h":{"s0":"s6","s1":"s4","s2":"s3","s3":"s3","s4":"s6","s5":"s6","s6":"s8","s7":"s0","s8":"s5"},"i":{"s0":"s7","s1":"s6","s2":"s4","s3":"s5","s4":"s7","s5":"s5","s6":"s6","s7":"s3","s8":"s6"},"j":{"s0":"s3","s1":"s0","s2":"s0","s3":"s6","s4":"s4","s5":"s6","s6":"s5","s7":"s4","s8":"s6"}} | Given the following FSM:
a b c d e f g h i j
s0 s2 s3 s5 s8 s8 s6 s1 s6 s7 s3
s1 s3 s1 s5 s7 s4 s1 s0 s4 s6 s0
s2 s6 s0 s8 s2 s8 s5 s2 s3 s4 s0
s3 s3 s1 s1 s5 s7 s3 s6 s3 s5 s6
s4 s6 s3 s3 s4 s4 s8 s3 s6 s7 s4
s5 s1 s4 s4 s8 s2 s8 s7 s6 s5 s6
s6 s8 s5 s7 s5 s8 s7 s2 s8 s6 s5
s7 s6 s4 s1 s5 s7 s1 s6 s0 s3 s4
s8 s0 s0 s2 s1 s6 s0 s1 s5 s6 s6
If we are in state s6 and the input is b, what state will we be in next? | s5 |
5dff6f20-1677-49c1-8bd3-8352a058ffb1 | a954a5b2-cac3-4f2e-8c10-75f9cbfa8226 | {"states": ["s0", "s1"], "alphabets": "abc", "accepting_states": ["s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "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":"s1","s1":"s0"},"c":{"s0":"s1","s1":"s0"}} | Given the following FSM:
a b c
s0 s0 s1 s1
s1 s0 s0 s0
If we are in state s1 and the input is b, what state will we be in next? | s0 |
b397e65e-ebd0-4cec-abb2-9a8684df6f9b | c483db53-2731-4fe3-999c-259212d83f8f | {"states": ["s0", "s1", "s3"], "alphabets": "a", "accepting_states": ["s0", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}]} | 2 | {"a":{"s0":"s1","s1":"s3","s3":"s0"}} | Given the following FSM:
a
s0 s1
s1 s3
s3 s0
If we are in state s1 and the input is a, what state will we be in next? | s3 |
9790a13a-b130-4300-ac29-203680c4b0ff | cd06ad56-f567-4be3-9d46-e74da74fc28e | {"states": ["s0", "s1", "s2"], "alphabets": "abcdefghi", "accepting_states": ["s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s2","s1":"s1","s2":"s1"},"b":{"s0":"s2","s1":"s2","s2":"s0"},"c":{"s0":"s0","s1":"s2","s2":"s2"},"d":{"s0":"s1","s1":"s1","s2":"s2"},"e":{"s0":"s2","s1":"s1","s2":"s2"},"f":{"s0":"s0","s1":"s0","s2":"s0"},"g":{"s0":"s0","s1":"s2","s2":"s0"},"h":{"s0":"s0","s1":"s1","s2":"s2"},"i":{"s0":"s1","s1":"s1","s2":"s1"}} | Given the following FSM:
a b c d e f g h i
s0 s2 s2 s0 s1 s2 s0 s0 s0 s1
s1 s1 s2 s2 s1 s1 s0 s2 s1 s1
s2 s1 s0 s2 s2 s2 s0 s0 s2 s1
If we are in state s2 and the input is e, what state will we be in next? | s2 |
3bc2b63f-7db0-46e2-8f9d-e8653cf645a8 | 94f859d9-cef9-4bc8-850d-64313a5769cd | {"states": ["s0", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11"], "alphabets": "abc", "accepting_states": ["s2", "s11", "s4", "s0", "s3", "s8", "s7", "s6", "s10"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s10"]}]} | 4 | {"a":{"s0":"s6","s2":"s10","s3":"s10","s4":"s0","s5":"s10","s6":"s2","s7":"s11","s8":"s6","s9":"s0","s10":"s7","s11":"s8"},"b":{"s0":"s2","s2":"s2","s3":"s9","s4":"s11","s5":"s6","s6":"s9","s7":"s5","s8":"s4","s9":"s5","s10":"s9","s11":"s4"},"c":{"s0":"s4","s2":"s5","s3":"s6","s4":"s11","s5":"s7","s6":"s0","s7":"s3","s8":"s3","s9":"s8","s10":"s6","s11":"s10"}} | Given the following FSM:
a b c
s0 s6 s2 s4
s2 s10 s2 s5
s3 s10 s9 s6
s4 s0 s11 s11
s5 s10 s6 s7
s6 s2 s9 s0
s7 s11 s5 s3
s8 s6 s4 s3
s9 s0 s5 s8
s10 s7 s9 s6
s11 s8 s4 s10
If we are in state s11 and the input is b, what state will we be in next? | s4 |
4d628f5e-4a8d-463e-9f76-2bfb536396a5 | 798d7a89-1eaf-46a1-b00b-d6efcfa8270e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abcdefghi", "accepting_states": ["s4", "s7", "s12", "s6", "s3", "s10", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s12"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s12"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s12"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s12"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "i", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s12", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "i", "toStates": ["s4"]}]} | 5 | {"a":{"s0":"s10","s1":"s8","s2":"s4","s3":"s4","s4":"s8","s5":"s6","s6":"s4","s7":"s10","s8":"s2","s9":"s11","s10":"s11","s11":"s12","s12":"s0"},"b":{"s0":"s6","s1":"s8","s2":"s0","s3":"s9","s4":"s10","s5":"s3","s6":"s0","s7":"s4","s8":"s6","s9":"s9","s10":"s9","s11":"s3","s12":"s6"},"c":{"s0":"s11","s1":"s6","s2":"s4","s3":"s1","s4":"s4","s5":"s3","s6":"s2","s7":"s1","s8":"s2","s9":"s4","s10":"s7","s11":"s3","s12":"s4"},"d":{"s0":"s4","s1":"s6","s2":"s2","s3":"s3","s4":"s6","s5":"s11","s6":"s9","s7":"s12","s8":"s6","s9":"s9","s10":"s12","s11":"s6","s12":"s7"},"e":{"s0":"s1","s1":"s2","s2":"s2","s3":"s5","s4":"s10","s5":"s4","s6":"s11","s7":"s1","s8":"s6","s9":"s3","s10":"s7","s11":"s8","s12":"s4"},"f":{"s0":"s2","s1":"s11","s2":"s0","s3":"s9","s4":"s6","s5":"s10","s6":"s3","s7":"s2","s8":"s7","s9":"s8","s10":"s1","s11":"s11","s12":"s5"},"g":{"s0":"s9","s1":"s8","s2":"s1","s3":"s1","s4":"s2","s5":"s6","s6":"s9","s7":"s12","s8":"s9","s9":"s3","s10":"s9","s11":"s3","s12":"s7"},"h":{"s0":"s7","s1":"s6","s2":"s4","s3":"s10","s4":"s6","s5":"s0","s6":"s12","s7":"s7","s8":"s8","s9":"s11","s10":"s10","s11":"s2","s12":"s1"},"i":{"s0":"s12","s1":"s1","s2":"s6","s3":"s6","s4":"s12","s5":"s12","s6":"s11","s7":"s11","s8":"s2","s9":"s2","s10":"s6","s11":"s9","s12":"s4"}} | Given the following FSM:
a b c d e f g h i
s0 s10 s6 s11 s4 s1 s2 s9 s7 s12
s1 s8 s8 s6 s6 s2 s11 s8 s6 s1
s2 s4 s0 s4 s2 s2 s0 s1 s4 s6
s3 s4 s9 s1 s3 s5 s9 s1 s10 s6
s4 s8 s10 s4 s6 s10 s6 s2 s6 s12
s5 s6 s3 s3 s11 s4 s10 s6 s0 s12
s6 s4 s0 s2 s9 s11 s3 s9 s12 s11
s7 s10 s4 s1 s12 s1 s2 s12 s7 s11
s8 s2 s6 s2 s6 s6 s7 s9 s8 s2
s9 s11 s9 s4 s9 s3 s8 s3 s11 s2
s10 s11 s9 s7 s12 s7 s1 s9 s10 s6
s11 s12 s3 s3 s6 s8 s11 s3 s2 s9
s12 s0 s6 s4 s7 s4 s5 s7 s1 s4
If we are in state s7 and the input is e, what state will we be in next? | s1 |
d90a9f69-c346-4190-990d-6bc01a9c34f8 | ad8b1a61-2f34-406e-8884-48170adf0046 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7"], "alphabets": "abcdefghi", "accepting_states": ["s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s0","s1":"s6","s2":"s0","s3":"s7","s4":"s1","s5":"s0","s6":"s1","s7":"s5"},"b":{"s0":"s2","s1":"s1","s2":"s3","s3":"s2","s4":"s6","s5":"s5","s6":"s5","s7":"s5"},"c":{"s0":"s6","s1":"s6","s2":"s7","s3":"s1","s4":"s4","s5":"s5","s6":"s1","s7":"s7"},"d":{"s0":"s6","s1":"s6","s2":"s7","s3":"s0","s4":"s2","s5":"s5","s6":"s4","s7":"s6"},"e":{"s0":"s0","s1":"s1","s2":"s6","s3":"s0","s4":"s5","s5":"s5","s6":"s4","s7":"s1"},"f":{"s0":"s1","s1":"s3","s2":"s6","s3":"s7","s4":"s5","s5":"s7","s6":"s7","s7":"s3"},"g":{"s0":"s4","s1":"s5","s2":"s5","s3":"s0","s4":"s1","s5":"s3","s6":"s7","s7":"s1"},"h":{"s0":"s0","s1":"s2","s2":"s5","s3":"s7","s4":"s1","s5":"s5","s6":"s6","s7":"s3"},"i":{"s0":"s1","s1":"s6","s2":"s4","s3":"s5","s4":"s7","s5":"s0","s6":"s6","s7":"s7"}} | Given the following FSM:
a b c d e f g h i
s0 s0 s2 s6 s6 s0 s1 s4 s0 s1
s1 s6 s1 s6 s6 s1 s3 s5 s2 s6
s2 s0 s3 s7 s7 s6 s6 s5 s5 s4
s3 s7 s2 s1 s0 s0 s7 s0 s7 s5
s4 s1 s6 s4 s2 s5 s5 s1 s1 s7
s5 s0 s5 s5 s5 s5 s7 s3 s5 s0
s6 s1 s5 s1 s4 s4 s7 s7 s6 s6
s7 s5 s5 s7 s6 s1 s3 s1 s3 s7
If we are in state s5 and the input is c, what state will we be in next? | s5 |
da81ff03-635c-4519-9e81-7916970fd2ea | 6055a11f-990a-42ff-a908-9bbdd8c74738 | {"states": ["s0", "s1", "s2", "s4", "s5", "s6"], "alphabets": "ab", "accepting_states": ["s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}]} | 2 | {"a":{"s0":"s1","s1":"s5","s2":"s6","s4":"s5","s5":"s6","s6":"s2"},"b":{"s0":"s4","s1":"s6","s2":"s4","s4":"s6","s5":"s1","s6":"s6"}} | Given the following FSM:
a b
s0 s1 s4
s1 s5 s6
s2 s6 s4
s4 s5 s6
s5 s6 s1
s6 s2 s6
If we are in state s1 and the input is b, what state will we be in next? | s6 |
3fe449b5-55e5-4648-acfc-76c22c923940 | d8dbcd42-49b2-4ffa-b375-eec9fc6c9dbb | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcdefghi", "accepting_states": ["s7", "s1", "s4", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "i", "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": ["s9"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "i", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s5","s1":"s1","s2":"s1","s3":"s4","s4":"s3","s5":"s4","s6":"s0","s7":"s0","s8":"s1","s9":"s6"},"b":{"s0":"s1","s1":"s4","s2":"s0","s3":"s7","s4":"s3","s5":"s5","s6":"s3","s7":"s3","s8":"s5","s9":"s4"},"c":{"s0":"s5","s1":"s0","s2":"s4","s3":"s1","s4":"s9","s5":"s3","s6":"s3","s7":"s2","s8":"s6","s9":"s9"},"d":{"s0":"s5","s1":"s1","s2":"s9","s3":"s5","s4":"s2","s5":"s8","s6":"s7","s7":"s3","s8":"s4","s9":"s4"},"e":{"s0":"s1","s1":"s4","s2":"s9","s3":"s4","s4":"s8","s5":"s7","s6":"s3","s7":"s2","s8":"s9","s9":"s2"},"f":{"s0":"s8","s1":"s9","s2":"s3","s3":"s2","s4":"s5","s5":"s9","s6":"s7","s7":"s5","s8":"s6","s9":"s1"},"g":{"s0":"s0","s1":"s3","s2":"s3","s3":"s7","s4":"s0","s5":"s1","s6":"s6","s7":"s1","s8":"s3","s9":"s9"},"h":{"s0":"s4","s1":"s2","s2":"s6","s3":"s7","s4":"s6","s5":"s0","s6":"s0","s7":"s8","s8":"s5","s9":"s5"},"i":{"s0":"s7","s1":"s0","s2":"s7","s3":"s0","s4":"s6","s5":"s6","s6":"s3","s7":"s4","s8":"s8","s9":"s7"}} | Given the following FSM:
a b c d e f g h i
s0 s5 s1 s5 s5 s1 s8 s0 s4 s7
s1 s1 s4 s0 s1 s4 s9 s3 s2 s0
s2 s1 s0 s4 s9 s9 s3 s3 s6 s7
s3 s4 s7 s1 s5 s4 s2 s7 s7 s0
s4 s3 s3 s9 s2 s8 s5 s0 s6 s6
s5 s4 s5 s3 s8 s7 s9 s1 s0 s6
s6 s0 s3 s3 s7 s3 s7 s6 s0 s3
s7 s0 s3 s2 s3 s2 s5 s1 s8 s4
s8 s1 s5 s6 s4 s9 s6 s3 s5 s8
s9 s6 s4 s9 s4 s2 s1 s9 s5 s7
If we are in state s0 and the input is e, what state will we be in next? | s1 |
b61ee3a5-e43e-4e29-bba1-d8a85f4cc4d6 | 0499243e-ea6c-4f5f-a40d-bb4db94114e7 | {"states": ["s0", "s2", "s3"], "alphabets": "a", "accepting_states": ["s2", "s0", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}]} | 2 | {"a":{"s0":"s3","s2":"s3","s3":"s2"}} | Given the following FSM:
a
s0 s3
s2 s3
s3 s2
If we are in state s3 and the input is a, what state will we be in next? | s2 |
b5e982e5-cdd6-4495-abea-8eec5c409dcf | 3b361f95-8dc5-4386-80cf-108b0b076aec | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abc", "accepting_states": ["s9", "s6", "s2", "s3", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s7","s1":"s10","s2":"s4","s3":"s3","s4":"s6","s5":"s1","s6":"s4","s7":"s2","s8":"s3","s9":"s2","s10":"s7"},"b":{"s0":"s9","s1":"s8","s2":"s2","s3":"s4","s4":"s8","s5":"s5","s6":"s8","s7":"s6","s8":"s5","s9":"s1","s10":"s2"},"c":{"s0":"s0","s1":"s3","s2":"s9","s3":"s0","s4":"s3","s5":"s5","s6":"s9","s7":"s7","s8":"s2","s9":"s5","s10":"s6"}} | Given the following FSM:
a b c
s0 s7 s9 s0
s1 s10 s8 s3
s2 s4 s2 s9
s3 s3 s4 s0
s4 s6 s8 s3
s5 s1 s5 s5
s6 s4 s8 s9
s7 s2 s6 s7
s8 s3 s5 s2
s9 s2 s1 s5
s10 s7 s2 s6
If we are in state s1 and the input is c, what state will we be in next? | s3 |
c162a6aa-ceaa-4cf5-b63f-2ccb679d15f6 | b27093e1-ef81-4f49-b0e0-dc7e1153e03a | {"states": ["s0", "s2", "s8"], "alphabets": "a", "accepting_states": ["s2", "s8", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}]} | 4 | {"a":{"s0":"s8","s2":"s2","s8":"s2"}} | Given the following FSM:
a
s0 s8
s2 s2
s8 s2
If we are in state s8 and the input is a, what state will we be in next? | s2 |
5a74a837-c82e-4a5d-b582-e7602c1132fc | 3a120e47-ca20-4d51-a20a-a6d1857e0866 | {"states": ["s0", "s1"], "alphabets": "abcdefghi", "accepting_states": ["s1", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "i", "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": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s0"]}]} | 3 | {"a":{"s0":"s1","s1":"s0"},"b":{"s0":"s0","s1":"s0"},"c":{"s0":"s1","s1":"s0"},"d":{"s0":"s1","s1":"s0"},"e":{"s0":"s1","s1":"s0"},"f":{"s0":"s1","s1":"s1"},"g":{"s0":"s1","s1":"s0"},"h":{"s0":"s0","s1":"s1"},"i":{"s0":"s1","s1":"s0"}} | Given the following FSM:
a b c d e f g h i
s0 s1 s0 s1 s1 s1 s1 s1 s0 s1
s1 s0 s0 s0 s0 s0 s1 s0 s1 s0
If we are in state s0 and the input is c, what state will we be in next? | s1 |
21dc6fea-02a7-40d1-ac64-3de3e62bbfaf | 6e3d1318-b697-4b7e-a47d-05b13fd65ea1 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abcdefghi", "accepting_states": ["s12", "s4", "s5", "s2", "s3", "s11"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s12"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s12"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s12"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s12"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "i", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "i", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "i", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "g", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "i", "toStates": ["s0"]}]} | 5 | {"a":{"s0":"s0","s1":"s8","s2":"s9","s3":"s10","s4":"s12","s5":"s4","s6":"s9","s7":"s9","s8":"s10","s9":"s9","s10":"s10","s11":"s8","s12":"s3"},"b":{"s0":"s2","s1":"s5","s2":"s0","s3":"s11","s4":"s3","s5":"s10","s6":"s9","s7":"s3","s8":"s11","s9":"s2","s10":"s8","s11":"s8","s12":"s1"},"c":{"s0":"s12","s1":"s2","s2":"s3","s3":"s12","s4":"s11","s5":"s0","s6":"s9","s7":"s2","s8":"s5","s9":"s12","s10":"s11","s11":"s5","s12":"s10"},"d":{"s0":"s1","s1":"s8","s2":"s0","s3":"s9","s4":"s10","s5":"s4","s6":"s4","s7":"s8","s8":"s1","s9":"s9","s10":"s4","s11":"s5","s12":"s3"},"e":{"s0":"s12","s1":"s3","s2":"s4","s3":"s7","s4":"s12","s5":"s11","s6":"s10","s7":"s5","s8":"s7","s9":"s4","s10":"s0","s11":"s6","s12":"s2"},"f":{"s0":"s5","s1":"s7","s2":"s4","s3":"s11","s4":"s7","s5":"s11","s6":"s1","s7":"s3","s8":"s5","s9":"s12","s10":"s0","s11":"s6","s12":"s9"},"g":{"s0":"s9","s1":"s2","s2":"s7","s3":"s10","s4":"s4","s5":"s1","s6":"s12","s7":"s1","s8":"s12","s9":"s7","s10":"s3","s11":"s10","s12":"s12"},"h":{"s0":"s11","s1":"s8","s2":"s1","s3":"s10","s4":"s0","s5":"s12","s6":"s7","s7":"s2","s8":"s12","s9":"s5","s10":"s9","s11":"s2","s12":"s6"},"i":{"s0":"s4","s1":"s9","s2":"s5","s3":"s3","s4":"s1","s5":"s0","s6":"s1","s7":"s1","s8":"s2","s9":"s11","s10":"s10","s11":"s10","s12":"s0"}} | Given the following FSM:
a b c d e f g h i
s0 s0 s2 s12 s1 s12 s5 s9 s11 s4
s1 s8 s5 s2 s8 s3 s7 s2 s8 s9
s2 s9 s0 s3 s0 s4 s4 s7 s1 s5
s3 s10 s11 s12 s9 s7 s11 s10 s10 s3
s4 s12 s3 s11 s10 s12 s7 s4 s0 s1
s5 s4 s10 s0 s4 s11 s11 s1 s12 s0
s6 s9 s9 s9 s4 s10 s1 s12 s7 s1
s7 s9 s3 s2 s8 s5 s3 s1 s2 s1
s8 s10 s11 s5 s1 s7 s5 s12 s12 s2
s9 s9 s2 s12 s9 s4 s12 s7 s5 s11
s10 s10 s8 s11 s4 s0 s0 s3 s9 s10
s11 s8 s8 s5 s5 s6 s6 s10 s2 s10
s12 s3 s1 s10 s3 s2 s9 s12 s6 s0
If we are in state s1 and the input is d, what state will we be in next? | s8 |
ea7fe170-2689-4e2b-9838-e60084287ede | 951147cf-6e34-4d6b-8e0a-019ceef565d2 | {"states": ["s0", "s1", "s2"], "alphabets": "abcdefghi", "accepting_states": ["s1", "s0", "s2"], "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": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "i", "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": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"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": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s0"]}]} | 3 | {"a":{"s0":"s1","s1":"s0","s2":"s1"},"b":{"s0":"s0","s1":"s2","s2":"s0"},"c":{"s0":"s1","s1":"s2","s2":"s2"},"d":{"s0":"s2","s1":"s2","s2":"s2"},"e":{"s0":"s1","s1":"s1","s2":"s1"},"f":{"s0":"s0","s1":"s2","s2":"s1"},"g":{"s0":"s1","s1":"s2","s2":"s2"},"h":{"s0":"s0","s1":"s0","s2":"s0"},"i":{"s0":"s0","s1":"s2","s2":"s0"}} | Given the following FSM:
a b c d e f g h i
s0 s1 s0 s1 s2 s1 s0 s1 s0 s0
s1 s0 s2 s2 s2 s1 s2 s2 s0 s2
s2 s1 s0 s2 s2 s1 s1 s2 s0 s0
If we are in state s0 and the input is h, what state will we be in next? | s0 |
1822a511-2136-466e-a978-5883b89299b7 | be8acb43-8e10-43c0-8d40-345bee51efe9 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11"], "alphabets": "abcdefgh", "accepting_states": ["s6", "s10", "s4", "s8", "s7", "s3", "s1", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s10"]}]} | 5 | {"a":{"s0":"s2","s1":"s7","s2":"s2","s3":"s9","s4":"s4","s5":"s3","s6":"s4","s7":"s0","s8":"s1","s9":"s4","s10":"s2","s11":"s0"},"b":{"s0":"s4","s1":"s9","s2":"s7","s3":"s9","s4":"s2","s5":"s10","s6":"s1","s7":"s6","s8":"s8","s9":"s7","s10":"s11","s11":"s10"},"c":{"s0":"s5","s1":"s10","s2":"s4","s3":"s1","s4":"s7","s5":"s7","s6":"s10","s7":"s6","s8":"s9","s9":"s6","s10":"s6","s11":"s9"},"d":{"s0":"s6","s1":"s11","s2":"s7","s3":"s0","s4":"s8","s5":"s11","s6":"s7","s7":"s1","s8":"s6","s9":"s10","s10":"s8","s11":"s6"},"e":{"s0":"s2","s1":"s0","s2":"s2","s3":"s9","s4":"s10","s5":"s6","s6":"s10","s7":"s4","s8":"s11","s9":"s0","s10":"s0","s11":"s5"},"f":{"s0":"s6","s1":"s10","s2":"s0","s3":"s11","s4":"s10","s5":"s7","s6":"s8","s7":"s3","s8":"s7","s9":"s9","s10":"s10","s11":"s5"},"g":{"s0":"s7","s1":"s2","s2":"s1","s3":"s8","s4":"s2","s5":"s8","s6":"s7","s7":"s11","s8":"s2","s9":"s10","s10":"s4","s11":"s1"},"h":{"s0":"s7","s1":"s10","s2":"s3","s3":"s6","s4":"s7","s5":"s3","s6":"s6","s7":"s10","s8":"s2","s9":"s0","s10":"s11","s11":"s10"}} | Given the following FSM:
a b c d e f g h
s0 s2 s4 s5 s6 s2 s6 s7 s7
s1 s7 s9 s10 s11 s0 s10 s2 s10
s2 s2 s7 s4 s7 s2 s0 s1 s3
s3 s9 s9 s1 s0 s9 s11 s8 s6
s4 s4 s2 s7 s8 s10 s10 s2 s7
s5 s3 s10 s7 s11 s6 s7 s8 s3
s6 s4 s1 s10 s7 s10 s8 s7 s6
s7 s0 s6 s6 s1 s4 s3 s11 s10
s8 s1 s8 s9 s6 s11 s7 s2 s2
s9 s4 s7 s6 s10 s0 s9 s10 s0
s10 s2 s11 s6 s8 s0 s10 s4 s11
s11 s0 s10 s9 s6 s5 s5 s1 s10
If we are in state s11 and the input is e, what state will we be in next? | s5 |
ee446601-8776-4399-b046-323d9143bb26 | 105b8f46-a30a-40fd-935b-83049cead870 | {"states": ["s0", "s1", "s2", "s4", "s5", "s6", "s8", "s10", "s11", "s12", "s13"], "alphabets": "abc", "accepting_states": ["s6", "s11", "s10", "s8", "s4", "s5", "s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s13"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s13", "symbol": "c", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s0","s1":"s1","s2":"s12","s4":"s0","s5":"s4","s6":"s2","s8":"s4","s10":"s11","s11":"s10","s12":"s11","s13":"s6"},"b":{"s0":"s8","s1":"s5","s2":"s4","s4":"s11","s5":"s4","s6":"s6","s8":"s10","s10":"s5","s11":"s13","s12":"s13","s13":"s0"},"c":{"s0":"s4","s1":"s12","s2":"s5","s4":"s4","s5":"s12","s6":"s13","s8":"s6","s10":"s2","s11":"s1","s12":"s4","s13":"s1"}} | Given the following FSM:
a b c
s0 s0 s8 s4
s1 s1 s5 s12
s2 s12 s4 s5
s4 s0 s11 s4
s5 s4 s4 s12
s6 s2 s6 s13
s8 s4 s10 s6
s10 s11 s5 s2
s11 s10 s13 s1
s12 s11 s13 s4
s13 s6 s0 s1
If we are in state s4 and the input is a, what state will we be in next? | s0 |
9f17df82-9cd3-4faa-9c3c-f4f27309cc85 | 448f4bd7-4c59-4baa-8f00-fd72d01ad853 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abcdefghi", "accepting_states": ["s3", "s2", "s9", "s0", "s7", "s12", "s8", "s4"], "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": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s12"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s12"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s12"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s12"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "i", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "i", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s12", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "i", "toStates": ["s11"]}]} | 5 | {"a":{"s0":"s2","s1":"s5","s2":"s1","s3":"s9","s4":"s8","s5":"s1","s6":"s7","s7":"s3","s8":"s3","s9":"s7","s10":"s4","s11":"s3","s12":"s11"},"b":{"s0":"s0","s1":"s8","s2":"s10","s3":"s10","s4":"s10","s5":"s0","s6":"s11","s7":"s3","s8":"s10","s9":"s12","s10":"s9","s11":"s2","s12":"s8"},"c":{"s0":"s2","s1":"s10","s2":"s9","s3":"s6","s4":"s11","s5":"s11","s6":"s8","s7":"s11","s8":"s5","s9":"s11","s10":"s7","s11":"s9","s12":"s12"},"d":{"s0":"s7","s1":"s12","s2":"s3","s3":"s3","s4":"s9","s5":"s12","s6":"s10","s7":"s8","s8":"s9","s9":"s11","s10":"s3","s11":"s8","s12":"s4"},"e":{"s0":"s5","s1":"s9","s2":"s5","s3":"s5","s4":"s8","s5":"s3","s6":"s8","s7":"s6","s8":"s2","s9":"s12","s10":"s11","s11":"s0","s12":"s10"},"f":{"s0":"s3","s1":"s8","s2":"s12","s3":"s4","s4":"s5","s5":"s1","s6":"s7","s7":"s4","s8":"s4","s9":"s7","s10":"s6","s11":"s5","s12":"s8"},"g":{"s0":"s12","s1":"s2","s2":"s6","s3":"s12","s4":"s8","s5":"s7","s6":"s9","s7":"s2","s8":"s10","s9":"s7","s10":"s2","s11":"s3","s12":"s9"},"h":{"s0":"s12","s1":"s12","s2":"s11","s3":"s9","s4":"s2","s5":"s2","s6":"s5","s7":"s4","s8":"s8","s9":"s1","s10":"s4","s11":"s5","s12":"s1"},"i":{"s0":"s2","s1":"s5","s2":"s10","s3":"s6","s4":"s11","s5":"s6","s6":"s10","s7":"s1","s8":"s7","s9":"s10","s10":"s9","s11":"s3","s12":"s11"}} | Given the following FSM:
a b c d e f g h i
s0 s2 s0 s2 s7 s5 s3 s12 s12 s2
s1 s5 s8 s10 s12 s9 s8 s2 s12 s5
s2 s1 s10 s9 s3 s5 s12 s6 s11 s10
s3 s9 s10 s6 s3 s5 s4 s12 s9 s6
s4 s8 s10 s11 s9 s8 s5 s8 s2 s11
s5 s1 s0 s11 s12 s3 s1 s7 s2 s6
s6 s7 s11 s8 s10 s8 s7 s9 s5 s10
s7 s3 s3 s11 s8 s6 s4 s2 s4 s1
s8 s3 s10 s5 s9 s2 s4 s10 s8 s7
s9 s7 s12 s11 s11 s12 s7 s7 s1 s10
s10 s4 s9 s7 s3 s11 s6 s2 s4 s9
s11 s3 s2 s9 s8 s0 s5 s3 s5 s3
s12 s11 s8 s12 s4 s10 s8 s9 s1 s11
If we are in state s2 and the input is b, what state will we be in next? | s10 |
9bcce646-493b-4ebb-9f9a-99a617e99693 | 36005527-9e6a-4e71-8145-6df9be69c869 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abc", "accepting_states": ["s2", "s3", "s8", "s5", "s4", "s0", "s6", "s1", "s7"], "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": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}]} | 3 | {"a":{"s0":"s4","s1":"s4","s2":"s0","s3":"s0","s4":"s6","s5":"s6","s6":"s2","s7":"s8","s8":"s3"},"b":{"s0":"s1","s1":"s1","s2":"s7","s3":"s4","s4":"s7","s5":"s5","s6":"s5","s7":"s8","s8":"s3"},"c":{"s0":"s8","s1":"s0","s2":"s0","s3":"s0","s4":"s6","s5":"s8","s6":"s8","s7":"s2","s8":"s7"}} | Given the following FSM:
a b c
s0 s4 s1 s8
s1 s4 s1 s0
s2 s0 s7 s0
s3 s0 s4 s0
s4 s6 s7 s6
s5 s6 s5 s8
s6 s2 s5 s8
s7 s8 s8 s2
s8 s3 s3 s7
If we are in state s4 and the input is a, what state will we be in next? | s6 |
ca7ea8b7-c354-49a6-ab60-124d594bb7b3 | fde3d48d-e7a9-412d-ab6d-7e737c310614 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12", "s13"], "alphabets": "abcdefgh", "accepting_states": ["s0", "s2", "s10", "s8", "s11", "s7", "s4", "s3", "s1", "s6", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s13"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s13"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s13"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s11"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "h", "toStates": ["s12"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s13", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s13", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s13", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s13", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s13", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s13", "symbol": "h", "toStates": ["s7"]}]} | 5 | {"a":{"s0":"s2","s1":"s3","s2":"s8","s3":"s10","s4":"s8","s5":"s12","s6":"s7","s7":"s9","s8":"s12","s9":"s5","s10":"s3","s11":"s9","s12":"s1","s13":"s10"},"b":{"s0":"s4","s1":"s9","s2":"s9","s3":"s3","s4":"s5","s5":"s10","s6":"s0","s7":"s13","s8":"s3","s9":"s12","s10":"s12","s11":"s4","s12":"s6","s13":"s4"},"c":{"s0":"s2","s1":"s1","s2":"s9","s3":"s9","s4":"s11","s5":"s11","s6":"s3","s7":"s1","s8":"s13","s9":"s3","s10":"s7","s11":"s12","s12":"s5","s13":"s2"},"d":{"s0":"s5","s1":"s2","s2":"s13","s3":"s11","s4":"s7","s5":"s11","s6":"s12","s7":"s6","s8":"s7","s9":"s13","s10":"s12","s11":"s13","s12":"s12","s13":"s0"},"e":{"s0":"s7","s1":"s12","s2":"s10","s3":"s13","s4":"s9","s5":"s8","s6":"s12","s7":"s9","s8":"s3","s9":"s5","s10":"s8","s11":"s10","s12":"s9","s13":"s4"},"f":{"s0":"s10","s1":"s3","s2":"s7","s3":"s0","s4":"s0","s5":"s2","s6":"s2","s7":"s3","s8":"s10","s9":"s4","s10":"s12","s11":"s10","s12":"s1","s13":"s0"},"g":{"s0":"s0","s1":"s6","s2":"s0","s3":"s1","s4":"s1","s5":"s13","s6":"s11","s7":"s6","s8":"s6","s9":"s3","s10":"s1","s11":"s3","s12":"s6","s13":"s7"},"h":{"s0":"s11","s1":"s1","s2":"s0","s3":"s5","s4":"s7","s5":"s1","s6":"s10","s7":"s10","s8":"s10","s9":"s11","s10":"s3","s11":"s11","s12":"s12","s13":"s7"}} | Given the following FSM:
a b c d e f g h
s0 s2 s4 s2 s5 s7 s10 s0 s11
s1 s3 s9 s1 s2 s12 s3 s6 s1
s2 s8 s9 s9 s13 s10 s7 s0 s0
s3 s10 s3 s9 s11 s13 s0 s1 s5
s4 s8 s5 s11 s7 s9 s0 s1 s7
s5 s12 s10 s11 s11 s8 s2 s13 s1
s6 s7 s0 s3 s12 s12 s2 s11 s10
s7 s9 s13 s1 s6 s9 s3 s6 s10
s8 s12 s3 s13 s7 s3 s10 s6 s10
s9 s5 s12 s3 s13 s5 s4 s3 s11
s10 s3 s12 s7 s12 s8 s12 s1 s3
s11 s9 s4 s12 s13 s10 s10 s3 s11
s12 s1 s6 s5 s12 s9 s1 s6 s12
s13 s10 s4 s2 s0 s4 s0 s7 s7
If we are in state s3 and the input is e, what state will we be in next? | s13 |
fd4c2e48-3e85-47c0-9a57-5b5c6fe1efa5 | d11feca5-2cf8-4306-aa9a-5b6e4135feaf | {"states": ["s0", "s1", "s2", "s3"], "alphabets": "abc", "accepting_states": ["s0", "s2", "s3", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}]} | 2 | {"a":{"s0":"s3","s1":"s0","s2":"s1","s3":"s0"},"b":{"s0":"s0","s1":"s2","s2":"s2","s3":"s3"},"c":{"s0":"s0","s1":"s2","s2":"s0","s3":"s1"}} | Given the following FSM:
a b c
s0 s3 s0 s0
s1 s0 s2 s2
s2 s1 s2 s0
s3 s0 s3 s1
If we are in state s3 and the input is c, what state will we be in next? | s1 |
4cfd311f-6d71-44ef-9196-99341453e0b5 | 06501b84-2208-4b01-9859-89ef53bd6936 | {"states": ["s0", "s5", "s9", "s10"], "alphabets": "a", "accepting_states": ["s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s9"]}]} | 3 | {"a":{"s0":"s5","s5":"s10","s9":"s10","s10":"s9"}} | Given the following FSM:
a
s0 s5
s5 s10
s9 s10
s10 s9
If we are in state s10 and the input is a, what state will we be in next? | s9 |
fc24e521-574b-424d-bb68-15b231ee4079 | 58e6bd68-ba7b-4190-8de8-7a94ceeeaf15 | {"states": ["s0", "s1", "s2", "s3"], "alphabets": "abc", "accepting_states": ["s1", "s3", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}]} | 2 | {"a":{"s0":"s2","s1":"s3","s2":"s0","s3":"s2"},"b":{"s0":"s1","s1":"s0","s2":"s3","s3":"s1"},"c":{"s0":"s0","s1":"s1","s2":"s3","s3":"s2"}} | Given the following FSM:
a b c
s0 s2 s1 s0
s1 s3 s0 s1
s2 s0 s3 s3
s3 s2 s1 s2
If we are in state s2 and the input is c, what state will we be in next? | s3 |
92efdb90-ef50-4031-b2ba-8cb909f386b9 | 9067f04e-4506-4b43-8107-211216711b9c | {"states": ["s0", "s1", "s2"], "alphabets": "abcdefgh", "accepting_states": ["s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "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": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s0"]}]} | 3 | {"a":{"s0":"s2","s1":"s1","s2":"s0"},"b":{"s0":"s0","s1":"s0","s2":"s0"},"c":{"s0":"s1","s1":"s0","s2":"s1"},"d":{"s0":"s2","s1":"s0","s2":"s2"},"e":{"s0":"s2","s1":"s1","s2":"s1"},"f":{"s0":"s1","s1":"s2","s2":"s1"},"g":{"s0":"s0","s1":"s0","s2":"s0"},"h":{"s0":"s0","s1":"s0","s2":"s0"}} | Given the following FSM:
a b c d e f g h
s0 s2 s0 s1 s2 s2 s1 s0 s0
s1 s1 s0 s0 s0 s1 s2 s0 s0
s2 s0 s0 s1 s2 s1 s1 s0 s0
If we are in state s1 and the input is b, what state will we be in next? | s0 |
7fd0bd69-e2a8-4506-9c17-2e6015e66a14 | 88168269-741b-415e-b76d-5b2a83df0529 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7"], "alphabets": "abcdefgh", "accepting_states": ["s0", "s4", "s5", "s3", "s6", "s1", "s7", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s1","s1":"s3","s2":"s4","s3":"s5","s4":"s5","s5":"s6","s6":"s5","s7":"s7"},"b":{"s0":"s1","s1":"s5","s2":"s2","s3":"s7","s4":"s0","s5":"s4","s6":"s1","s7":"s2"},"c":{"s0":"s4","s1":"s7","s2":"s4","s3":"s4","s4":"s3","s5":"s7","s6":"s6","s7":"s3"},"d":{"s0":"s6","s1":"s1","s2":"s1","s3":"s2","s4":"s7","s5":"s7","s6":"s4","s7":"s1"},"e":{"s0":"s4","s1":"s1","s2":"s6","s3":"s4","s4":"s3","s5":"s5","s6":"s7","s7":"s1"},"f":{"s0":"s0","s1":"s0","s2":"s1","s3":"s3","s4":"s3","s5":"s4","s6":"s6","s7":"s6"},"g":{"s0":"s5","s1":"s5","s2":"s1","s3":"s7","s4":"s3","s5":"s1","s6":"s0","s7":"s3"},"h":{"s0":"s3","s1":"s6","s2":"s2","s3":"s4","s4":"s5","s5":"s1","s6":"s5","s7":"s3"}} | Given the following FSM:
a b c d e f g h
s0 s1 s1 s4 s6 s4 s0 s5 s3
s1 s3 s5 s7 s1 s1 s0 s5 s6
s2 s4 s2 s4 s1 s6 s1 s1 s2
s3 s5 s7 s4 s2 s4 s3 s7 s4
s4 s5 s0 s3 s7 s3 s3 s3 s5
s5 s6 s4 s7 s7 s5 s4 s1 s1
s6 s5 s1 s6 s4 s7 s6 s0 s5
s7 s7 s2 s3 s1 s1 s6 s3 s3
If we are in state s2 and the input is e, what state will we be in next? | s6 |
4b8f065a-9aa6-442c-b528-4a0eb80e38e9 | f9e64f71-5eb3-4887-85fb-9ffe217bc1e6 | {"states": ["s0", "s1", "s2", "s3", "s4"], "alphabets": "abcde", "accepting_states": ["s3", "s4", "s1", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s0","s1":"s0","s2":"s3","s3":"s1","s4":"s4"},"b":{"s0":"s0","s1":"s3","s2":"s3","s3":"s2","s4":"s0"},"c":{"s0":"s4","s1":"s3","s2":"s0","s3":"s1","s4":"s4"},"d":{"s0":"s3","s1":"s1","s2":"s0","s3":"s4","s4":"s0"},"e":{"s0":"s4","s1":"s3","s2":"s3","s3":"s3","s4":"s4"}} | Given the following FSM:
a b c d e
s0 s0 s0 s4 s3 s4
s1 s0 s3 s3 s1 s3
s2 s3 s3 s0 s0 s3
s3 s1 s2 s1 s4 s3
s4 s4 s0 s4 s0 s4
If we are in state s3 and the input is a, what state will we be in next? | s1 |
c7a776e9-3178-46d2-90c5-c03956ab04a7 | bad3c81a-dde2-4502-90cb-1471105a2364 | {"states": ["s0", "s1"], "alphabets": "a", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}]} | 4 | {"a":{"s0":"s1","s1":"s0"}} | Given the following FSM:
a
s0 s1
s1 s0
If we are in state s0 and the input is a, what state will we be in next? | s1 |
f8b05aee-5792-4f14-a5c7-0ebc3a843f53 | d1faed2c-e413-4c85-8ce0-605a0f52dcd7 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcdefghi", "accepting_states": ["s2", "s9", "s0", "s4", "s8", "s6", "s1", "s3", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "i", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s6","s1":"s2","s2":"s1","s3":"s4","s4":"s3","s5":"s7","s6":"s6","s7":"s6","s8":"s7","s9":"s5"},"b":{"s0":"s1","s1":"s4","s2":"s9","s3":"s7","s4":"s6","s5":"s3","s6":"s2","s7":"s6","s8":"s4","s9":"s8"},"c":{"s0":"s4","s1":"s6","s2":"s7","s3":"s6","s4":"s3","s5":"s8","s6":"s3","s7":"s6","s8":"s5","s9":"s9"},"d":{"s0":"s4","s1":"s5","s2":"s4","s3":"s4","s4":"s2","s5":"s4","s6":"s2","s7":"s6","s8":"s4","s9":"s3"},"e":{"s0":"s6","s1":"s0","s2":"s6","s3":"s1","s4":"s3","s5":"s2","s6":"s7","s7":"s2","s8":"s2","s9":"s1"},"f":{"s0":"s0","s1":"s2","s2":"s1","s3":"s8","s4":"s9","s5":"s6","s6":"s9","s7":"s7","s8":"s8","s9":"s3"},"g":{"s0":"s0","s1":"s7","s2":"s6","s3":"s0","s4":"s2","s5":"s2","s6":"s4","s7":"s8","s8":"s9","s9":"s1"},"h":{"s0":"s3","s1":"s5","s2":"s3","s3":"s6","s4":"s0","s5":"s5","s6":"s7","s7":"s7","s8":"s5","s9":"s0"},"i":{"s0":"s2","s1":"s5","s2":"s5","s3":"s5","s4":"s5","s5":"s0","s6":"s5","s7":"s2","s8":"s8","s9":"s3"}} | Given the following FSM:
a b c d e f g h i
s0 s6 s1 s4 s4 s6 s0 s0 s3 s2
s1 s2 s4 s6 s5 s0 s2 s7 s5 s5
s2 s1 s9 s7 s4 s6 s1 s6 s3 s5
s3 s4 s7 s6 s4 s1 s8 s0 s6 s5
s4 s3 s6 s3 s2 s3 s9 s2 s0 s5
s5 s7 s3 s8 s4 s2 s6 s2 s5 s0
s6 s6 s2 s3 s2 s7 s9 s4 s7 s5
s7 s6 s6 s6 s6 s2 s7 s8 s7 s2
s8 s7 s4 s5 s4 s2 s8 s9 s5 s8
s9 s5 s8 s9 s3 s1 s3 s1 s0 s3
If we are in state s3 and the input is c, what state will we be in next? | s6 |
a8219ec7-de9e-4a4a-8e8e-88e094a2bfdd | f4ce370f-22a7-4bd4-afa5-bf11c8fc7f04 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcdefg", "accepting_states": ["s7", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s2"]}]} | 4 | {"a":{"s0":"s4","s1":"s4","s2":"s2","s3":"s6","s4":"s0","s5":"s9","s6":"s0","s7":"s0","s8":"s1","s9":"s9"},"b":{"s0":"s5","s1":"s9","s2":"s2","s3":"s3","s4":"s6","s5":"s2","s6":"s0","s7":"s6","s8":"s0","s9":"s4"},"c":{"s0":"s4","s1":"s7","s2":"s5","s3":"s8","s4":"s1","s5":"s7","s6":"s9","s7":"s3","s8":"s7","s9":"s0"},"d":{"s0":"s8","s1":"s4","s2":"s3","s3":"s8","s4":"s7","s5":"s6","s6":"s4","s7":"s2","s8":"s5","s9":"s2"},"e":{"s0":"s4","s1":"s0","s2":"s1","s3":"s7","s4":"s6","s5":"s8","s6":"s4","s7":"s6","s8":"s2","s9":"s2"},"f":{"s0":"s3","s1":"s7","s2":"s0","s3":"s8","s4":"s0","s5":"s0","s6":"s2","s7":"s0","s8":"s6","s9":"s8"},"g":{"s0":"s9","s1":"s3","s2":"s4","s3":"s1","s4":"s6","s5":"s3","s6":"s4","s7":"s2","s8":"s7","s9":"s2"}} | Given the following FSM:
a b c d e f g
s0 s4 s5 s4 s8 s4 s3 s9
s1 s4 s9 s7 s4 s0 s7 s3
s2 s2 s2 s5 s3 s1 s0 s4
s3 s6 s3 s8 s8 s7 s8 s1
s4 s0 s6 s1 s7 s6 s0 s6
s5 s9 s2 s7 s6 s8 s0 s3
s6 s0 s0 s9 s4 s4 s2 s4
s7 s0 s6 s3 s2 s6 s0 s2
s8 s1 s0 s7 s5 s2 s6 s7
s9 s9 s4 s0 s2 s2 s8 s2
If we are in state s9 and the input is d, what state will we be in next? | s2 |
05490afe-c59a-4e9c-8ef6-2950ac3257c7 | a49018d2-444d-45b9-93b4-bd014c9bacb7 | {"states": ["s0"], "alphabets": "abcd", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}]} | 2 | {"a":{"s0":"s0"},"b":{"s0":"s0"},"c":{"s0":"s0"},"d":{"s0":"s0"}} | Given the following FSM:
a b c d
s0 s0 s0 s0 s0
If we are in state s0 and the input is c, what state will we be in next? | s0 |
e46e7eb7-09c0-4cf7-8554-40a1412f8187 | e72c9b64-4524-411f-9ebf-f86f4420fc19 | {"states": ["s0", "s2", "s4", "s5", "s7", "s8", "s9", "s10"], "alphabets": "ab", "accepting_states": ["s2", "s5", "s10", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s5","s2":"s0","s4":"s7","s5":"s10","s7":"s8","s8":"s0","s9":"s7","s10":"s5"},"b":{"s0":"s8","s2":"s0","s4":"s9","s5":"s2","s7":"s7","s8":"s4","s9":"s9","s10":"s5"}} | Given the following FSM:
a b
s0 s5 s8
s2 s0 s0
s4 s7 s9
s5 s10 s2
s7 s8 s7
s8 s0 s4
s9 s7 s9
s10 s5 s5
If we are in state s10 and the input is a, what state will we be in next? | s5 |
79121910-d2a5-46ca-95e8-855429a78189 | 2001f347-7c07-4e39-a2ca-5d862ffdde85 | {"states": ["s0", "s1", "s3", "s4", "s5"], "alphabets": "a", "accepting_states": ["s1", "s0", "s4", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s3","s1":"s5","s3":"s4","s4":"s1","s5":"s3"}} | Given the following FSM:
a
s0 s3
s1 s5
s3 s4
s4 s1
s5 s3
If we are in state s4 and the input is a, what state will we be in next? | s1 |
a3d4e83e-0028-4b1e-b04e-aa6e4d4acff7 | d032683e-d286-4a9f-ab69-38c5508ec5c1 | {"states": ["s0", "s1", "s2"], "alphabets": "abcd", "accepting_states": ["s2", "s1", "s0"], "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": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "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": ["s1"]}]} | 2 | {"a":{"s0":"s2","s1":"s2","s2":"s1"},"b":{"s0":"s2","s1":"s1","s2":"s1"},"c":{"s0":"s1","s1":"s2","s2":"s2"},"d":{"s0":"s0","s1":"s1","s2":"s1"}} | Given the following FSM:
a b c d
s0 s2 s2 s1 s0
s1 s2 s1 s2 s1
s2 s1 s1 s2 s1
If we are in state s1 and the input is c, what state will we be in next? | s2 |
87aab551-2b4b-4a80-9c09-9a7c27715870 | 3347c38f-123d-4851-a18c-b7f97e5f40fa | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6"], "alphabets": "abcdefg", "accepting_states": ["s6", "s5", "s1", "s4", "s2", "s3", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s5","s1":"s5","s2":"s1","s3":"s2","s4":"s3","s5":"s2","s6":"s6"},"b":{"s0":"s3","s1":"s3","s2":"s2","s3":"s6","s4":"s6","s5":"s0","s6":"s0"},"c":{"s0":"s2","s1":"s2","s2":"s4","s3":"s0","s4":"s2","s5":"s5","s6":"s6"},"d":{"s0":"s4","s1":"s3","s2":"s1","s3":"s5","s4":"s0","s5":"s5","s6":"s2"},"e":{"s0":"s2","s1":"s6","s2":"s1","s3":"s1","s4":"s3","s5":"s0","s6":"s2"},"f":{"s0":"s4","s1":"s4","s2":"s1","s3":"s3","s4":"s4","s5":"s3","s6":"s1"},"g":{"s0":"s1","s1":"s5","s2":"s2","s3":"s4","s4":"s4","s5":"s2","s6":"s2"}} | Given the following FSM:
a b c d e f g
s0 s5 s3 s2 s4 s2 s4 s1
s1 s5 s3 s2 s3 s6 s4 s5
s2 s1 s2 s4 s1 s1 s1 s2
s3 s2 s6 s0 s5 s1 s3 s4
s4 s3 s6 s2 s0 s3 s4 s4
s5 s2 s0 s5 s5 s0 s3 s2
s6 s6 s0 s6 s2 s2 s1 s2
If we are in state s6 and the input is e, what state will we be in next? | s2 |
97a814f5-683f-4dc8-8ea1-03db393a4bb5 | fe44f5c2-30e2-4ceb-a95f-8e5316e3c5a7 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12", "s13"], "alphabets": "abcde", "accepting_states": ["s4", "s2", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s13"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s13"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s13"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s13", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s13", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s13", "symbol": "e", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s6","s1":"s10","s2":"s11","s3":"s8","s4":"s5","s5":"s0","s6":"s9","s7":"s7","s8":"s13","s9":"s7","s10":"s2","s11":"s8","s12":"s6","s13":"s3"},"b":{"s0":"s10","s1":"s4","s2":"s7","s3":"s12","s4":"s2","s5":"s2","s6":"s4","s7":"s12","s8":"s1","s9":"s7","s10":"s13","s11":"s11","s12":"s5","s13":"s1"},"c":{"s0":"s1","s1":"s6","s2":"s7","s3":"s1","s4":"s9","s5":"s10","s6":"s5","s7":"s11","s8":"s2","s9":"s7","s10":"s12","s11":"s2","s12":"s1","s13":"s11"},"d":{"s0":"s6","s1":"s10","s2":"s0","s3":"s5","s4":"s9","s5":"s9","s6":"s10","s7":"s0","s8":"s7","s9":"s1","s10":"s9","s11":"s13","s12":"s8","s13":"s6"},"e":{"s0":"s8","s1":"s8","s2":"s13","s3":"s6","s4":"s2","s5":"s13","s6":"s11","s7":"s7","s8":"s13","s9":"s8","s10":"s1","s11":"s1","s12":"s1","s13":"s7"}} | Given the following FSM:
a b c d e
s0 s6 s10 s1 s6 s8
s1 s10 s4 s6 s10 s8
s2 s11 s7 s7 s0 s13
s3 s8 s12 s1 s5 s6
s4 s5 s2 s9 s9 s2
s5 s0 s2 s10 s9 s13
s6 s9 s4 s5 s10 s11
s7 s7 s12 s11 s0 s7
s8 s13 s1 s2 s7 s13
s9 s7 s7 s7 s1 s8
s10 s2 s13 s12 s9 s1
s11 s8 s11 s2 s13 s1
s12 s6 s5 s1 s8 s1
s13 s3 s1 s11 s6 s7
If we are in state s10 and the input is a, what state will we be in next? | s2 |
dc2330fe-1329-4245-a959-d10920af5831 | be6e256a-f061-49da-8396-2a96d9539787 | {"states": ["s0", "s2", "s4"], "alphabets": "a", "accepting_states": ["s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}]} | 3 | {"a":{"s0":"s2","s2":"s4","s4":"s0"}} | Given the following FSM:
a
s0 s2
s2 s4
s4 s0
If we are in state s2 and the input is a, what state will we be in next? | s4 |
7311d94f-d3a4-44ad-adc4-6cc3e4eae4f6 | df37d2f8-4d48-43a4-a4c0-37084faa0425 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abcd", "accepting_states": ["s10", "s2", "s4", "s12", "s5", "s6", "s9", "s7", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s6","s1":"s6","s2":"s11","s3":"s12","s4":"s12","s5":"s3","s6":"s10","s7":"s10","s8":"s5","s9":"s4","s10":"s7","s11":"s2","s12":"s8"},"b":{"s0":"s6","s1":"s6","s2":"s8","s3":"s3","s4":"s10","s5":"s12","s6":"s0","s7":"s3","s8":"s5","s9":"s0","s10":"s1","s11":"s10","s12":"s5"},"c":{"s0":"s11","s1":"s9","s2":"s12","s3":"s0","s4":"s0","s5":"s9","s6":"s7","s7":"s0","s8":"s3","s9":"s6","s10":"s0","s11":"s8","s12":"s0"},"d":{"s0":"s8","s1":"s10","s2":"s9","s3":"s0","s4":"s3","s5":"s9","s6":"s5","s7":"s8","s8":"s5","s9":"s2","s10":"s0","s11":"s12","s12":"s7"}} | Given the following FSM:
a b c d
s0 s6 s6 s11 s8
s1 s6 s6 s9 s10
s2 s11 s8 s12 s9
s3 s12 s3 s0 s0
s4 s12 s10 s0 s3
s5 s3 s12 s9 s9
s6 s10 s0 s7 s5
s7 s10 s3 s0 s8
s8 s5 s5 s3 s5
s9 s4 s0 s6 s2
s10 s7 s1 s0 s0
s11 s2 s10 s8 s12
s12 s8 s5 s0 s7
If we are in state s10 and the input is c, what state will we be in next? | s0 |
98f057c2-9d82-44e6-bf16-a87886420b75 | d255d918-5faf-4335-9b71-2bbe90352d41 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s12", "s13"], "alphabets": "ab", "accepting_states": ["s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s5","s1":"s5","s2":"s2","s3":"s5","s4":"s0","s5":"s1","s6":"s5","s7":"s2","s8":"s12","s9":"s13","s12":"s13","s13":"s1"},"b":{"s0":"s9","s1":"s8","s2":"s0","s3":"s3","s4":"s3","s5":"s7","s6":"s9","s7":"s9","s8":"s4","s9":"s7","s12":"s8","s13":"s6"}} | Given the following FSM:
a b
s0 s5 s9
s1 s5 s8
s2 s2 s0
s3 s5 s3
s4 s0 s3
s5 s1 s7
s6 s5 s9
s7 s2 s9
s8 s12 s4
s9 s13 s7
s12 s13 s8
s13 s1 s6
If we are in state s4 and the input is a, what state will we be in next? | s0 |
047b73b2-7552-457e-aebc-ec6714566b4e | b6f64efe-1690-41bb-9350-0599980b817f | {"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 |
3a99ea2c-e24f-4a27-a7a1-6308b21259b8 | b1dc044d-b04d-447b-a29f-93e54d3d9591 | {"states": ["s0", "s1", "s2", "s3", "s4"], "alphabets": "abcdef", "accepting_states": ["s0", "s1", "s2"], "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": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"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": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s3","s2":"s1","s3":"s3","s4":"s3"},"b":{"s0":"s4","s1":"s1","s2":"s3","s3":"s2","s4":"s4"},"c":{"s0":"s4","s1":"s1","s2":"s3","s3":"s1","s4":"s4"},"d":{"s0":"s4","s1":"s1","s2":"s1","s3":"s0","s4":"s0"},"e":{"s0":"s2","s1":"s1","s2":"s1","s3":"s3","s4":"s2"},"f":{"s0":"s4","s1":"s4","s2":"s1","s3":"s4","s4":"s1"}} | Given the following FSM:
a b c d e f
s0 s0 s4 s4 s4 s2 s4
s1 s3 s1 s1 s1 s1 s4
s2 s1 s3 s3 s1 s1 s1
s3 s3 s2 s1 s0 s3 s4
s4 s3 s4 s4 s0 s2 s1
If we are in state s3 and the input is e, what state will we be in next? | s3 |
cd773d2c-f1f2-4b27-889e-c4532130da6a | 684817db-6a5e-487b-977c-51b1c8ad34a1 | {"states": ["s0", "s1", "s2", "s3"], "alphabets": "abcdefgh", "accepting_states": ["s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"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": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s3","s1":"s2","s2":"s3","s3":"s2"},"b":{"s0":"s2","s1":"s0","s2":"s2","s3":"s1"},"c":{"s0":"s0","s1":"s2","s2":"s0","s3":"s1"},"d":{"s0":"s0","s1":"s1","s2":"s2","s3":"s2"},"e":{"s0":"s2","s1":"s1","s2":"s1","s3":"s3"},"f":{"s0":"s3","s1":"s3","s2":"s3","s3":"s3"},"g":{"s0":"s0","s1":"s3","s2":"s3","s3":"s3"},"h":{"s0":"s0","s1":"s1","s2":"s0","s3":"s1"}} | Given the following FSM:
a b c d e f g h
s0 s3 s2 s0 s0 s2 s3 s0 s0
s1 s2 s0 s2 s1 s1 s3 s3 s1
s2 s3 s2 s0 s2 s1 s3 s3 s0
s3 s2 s1 s1 s2 s3 s3 s3 s1
If we are in state s0 and the input is c, what state will we be in next? | s0 |
74fcaa19-085a-47c2-bcc1-379f51ee686c | aa2321ac-7716-471f-b20d-9eb36be6a616 | {"states": ["s0", "s1", "s2"], "alphabets": "abcdefg", "accepting_states": ["s1", "s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}, {"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": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}]} | 3 | {"a":{"s0":"s1","s1":"s2","s2":"s1"},"b":{"s0":"s0","s1":"s2","s2":"s0"},"c":{"s0":"s0","s1":"s2","s2":"s0"},"d":{"s0":"s1","s1":"s2","s2":"s2"},"e":{"s0":"s0","s1":"s2","s2":"s2"},"f":{"s0":"s2","s1":"s1","s2":"s1"},"g":{"s0":"s2","s1":"s1","s2":"s0"}} | Given the following FSM:
a b c d e f g
s0 s1 s0 s0 s1 s0 s2 s2
s1 s2 s2 s2 s2 s2 s1 s1
s2 s1 s0 s0 s2 s2 s1 s0
If we are in state s0 and the input is d, what state will we be in next? | s1 |
a5397803-6b6f-463f-9eb3-c851bb7da111 | bdbcee7b-7877-4212-aa44-06c9485725cd | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcdefg", "accepting_states": ["s4", "s6", "s2", "s7", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s0","s1":"s5","s2":"s5","s3":"s1","s4":"s8","s5":"s9","s6":"s6","s7":"s4","s8":"s9","s9":"s4"},"b":{"s0":"s9","s1":"s9","s2":"s2","s3":"s4","s4":"s3","s5":"s0","s6":"s1","s7":"s3","s8":"s9","s9":"s8"},"c":{"s0":"s9","s1":"s5","s2":"s7","s3":"s8","s4":"s6","s5":"s4","s6":"s0","s7":"s2","s8":"s7","s9":"s0"},"d":{"s0":"s0","s1":"s1","s2":"s2","s3":"s2","s4":"s7","s5":"s9","s6":"s0","s7":"s5","s8":"s5","s9":"s0"},"e":{"s0":"s7","s1":"s3","s2":"s5","s3":"s1","s4":"s1","s5":"s1","s6":"s9","s7":"s9","s8":"s7","s9":"s1"},"f":{"s0":"s1","s1":"s9","s2":"s3","s3":"s8","s4":"s7","s5":"s5","s6":"s2","s7":"s5","s8":"s9","s9":"s8"},"g":{"s0":"s3","s1":"s2","s2":"s3","s3":"s3","s4":"s4","s5":"s1","s6":"s2","s7":"s9","s8":"s6","s9":"s7"}} | Given the following FSM:
a b c d e f g
s0 s0 s9 s9 s0 s7 s1 s3
s1 s5 s9 s5 s1 s3 s9 s2
s2 s5 s2 s7 s2 s5 s3 s3
s3 s1 s4 s8 s2 s1 s8 s3
s4 s8 s3 s6 s7 s1 s7 s4
s5 s9 s0 s4 s9 s1 s5 s1
s6 s6 s1 s0 s0 s9 s2 s2
s7 s4 s3 s2 s5 s9 s5 s9
s8 s9 s9 s7 s5 s7 s9 s6
s9 s4 s8 s0 s0 s1 s8 s7
If we are in state s7 and the input is g, what state will we be in next? | s9 |
21b15c33-7dcc-48cf-b6d0-e6f90c4feab0 | eb18cfed-ceda-4bf0-8f15-e0832082ab61 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s8", "s3", "s7", "s0", "s6", "s5"], "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": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s1","s1":"s3","s2":"s8","s3":"s3","s4":"s3","s5":"s4","s6":"s8","s7":"s0","s8":"s1"},"b":{"s0":"s1","s1":"s7","s2":"s6","s3":"s1","s4":"s7","s5":"s6","s6":"s5","s7":"s1","s8":"s2"},"c":{"s0":"s2","s1":"s6","s2":"s8","s3":"s2","s4":"s7","s5":"s8","s6":"s0","s7":"s1","s8":"s7"},"d":{"s0":"s6","s1":"s5","s2":"s3","s3":"s7","s4":"s2","s5":"s8","s6":"s2","s7":"s4","s8":"s6"},"e":{"s0":"s2","s1":"s8","s2":"s0","s3":"s1","s4":"s5","s5":"s7","s6":"s3","s7":"s2","s8":"s6"}} | Given the following FSM:
a b c d e
s0 s1 s1 s2 s6 s2
s1 s3 s7 s6 s5 s8
s2 s8 s6 s8 s3 s0
s3 s3 s1 s2 s7 s1
s4 s3 s7 s7 s2 s5
s5 s4 s6 s8 s8 s7
s6 s8 s5 s0 s2 s3
s7 s0 s1 s1 s4 s2
s8 s1 s2 s7 s6 s6
If we are in state s3 and the input is e, what state will we be in next? | s1 |
1034c19d-8897-4bf5-b454-65485faf1b49 | bcee07fb-62ce-4803-b132-c0ab3ebd66fb | {"states": ["s0", "s6"], "alphabets": "a", "accepting_states": ["s6", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}]} | 2 | {"a":{"s0":"s6","s6":"s0"}} | Given the following FSM:
a
s0 s6
s6 s0
If we are in state s0 and the input is a, what state will we be in next? | s6 |
2ead2583-c8c6-482d-be39-e81f588fc1ec | 5d5c5eb1-7db8-4944-b018-e3407a103244 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12", "s13"], "alphabets": "abcdefgh", "accepting_states": ["s5", "s13", "s6", "s3", "s4", "s2", "s7", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s13"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s13"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s13"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s12"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s13"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s12", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s12", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s13", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s13", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s13", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s13", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "g", "toStates": ["s12"]}, {"fromState": "s13", "symbol": "h", "toStates": ["s9"]}]} | 5 | {"a":{"s0":"s11","s1":"s5","s2":"s8","s3":"s1","s4":"s10","s5":"s11","s6":"s13","s7":"s8","s8":"s5","s9":"s10","s10":"s0","s11":"s7","s12":"s7","s13":"s0"},"b":{"s0":"s7","s1":"s8","s2":"s2","s3":"s10","s4":"s11","s5":"s2","s6":"s5","s7":"s11","s8":"s3","s9":"s8","s10":"s1","s11":"s4","s12":"s10","s13":"s0"},"c":{"s0":"s5","s1":"s5","s2":"s3","s3":"s1","s4":"s7","s5":"s0","s6":"s10","s7":"s2","s8":"s3","s9":"s4","s10":"s0","s11":"s13","s12":"s4","s13":"s10"},"d":{"s0":"s5","s1":"s9","s2":"s7","s3":"s13","s4":"s10","s5":"s10","s6":"s12","s7":"s5","s8":"s0","s9":"s11","s10":"s0","s11":"s0","s12":"s9","s13":"s11"},"e":{"s0":"s11","s1":"s10","s2":"s3","s3":"s2","s4":"s10","s5":"s13","s6":"s0","s7":"s4","s8":"s1","s9":"s12","s10":"s9","s11":"s7","s12":"s7","s13":"s9"},"f":{"s0":"s12","s1":"s13","s2":"s13","s3":"s2","s4":"s4","s5":"s7","s6":"s3","s7":"s8","s8":"s1","s9":"s5","s10":"s6","s11":"s10","s12":"s3","s13":"s3"},"g":{"s0":"s0","s1":"s2","s2":"s11","s3":"s11","s4":"s1","s5":"s11","s6":"s11","s7":"s6","s8":"s1","s9":"s0","s10":"s12","s11":"s11","s12":"s7","s13":"s12"},"h":{"s0":"s1","s1":"s9","s2":"s11","s3":"s3","s4":"s11","s5":"s0","s6":"s9","s7":"s9","s8":"s11","s9":"s2","s10":"s5","s11":"s10","s12":"s8","s13":"s9"}} | Given the following FSM:
a b c d e f g h
s0 s11 s7 s5 s5 s11 s12 s0 s1
s1 s5 s8 s5 s9 s10 s13 s2 s9
s2 s8 s2 s3 s7 s3 s13 s11 s11
s3 s1 s10 s1 s13 s2 s2 s11 s3
s4 s10 s11 s7 s10 s10 s4 s1 s11
s5 s11 s2 s0 s10 s13 s7 s11 s0
s6 s13 s5 s10 s12 s0 s3 s11 s9
s7 s8 s11 s2 s5 s4 s8 s6 s9
s8 s5 s3 s3 s0 s1 s1 s1 s11
s9 s10 s8 s4 s11 s12 s5 s0 s2
s10 s0 s1 s0 s0 s9 s6 s12 s5
s11 s7 s4 s13 s0 s7 s10 s11 s10
s12 s7 s10 s4 s9 s7 s3 s7 s8
s13 s0 s0 s10 s11 s9 s3 s12 s9
If we are in state s7 and the input is b, what state will we be in next? | s11 |
e16b7627-c1f9-4725-80b4-06abc19f04ac | cab05abe-ef1e-48da-8f75-41e5d1c1c256 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abcdef", "accepting_states": ["s2", "s6", "s5", "s3", "s0", "s9", "s8", "s11", "s1", "s12", "s4", "s10", "s7"], "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": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s12"]}]} | 4 | {"a":{"s0":"s1","s1":"s12","s2":"s9","s3":"s8","s4":"s11","s5":"s1","s6":"s10","s7":"s2","s8":"s5","s9":"s8","s10":"s0","s11":"s6","s12":"s2"},"b":{"s0":"s5","s1":"s5","s2":"s4","s3":"s0","s4":"s9","s5":"s1","s6":"s12","s7":"s6","s8":"s8","s9":"s4","s10":"s9","s11":"s2","s12":"s0"},"c":{"s0":"s4","s1":"s8","s2":"s5","s3":"s7","s4":"s6","s5":"s0","s6":"s8","s7":"s0","s8":"s12","s9":"s1","s10":"s4","s11":"s12","s12":"s2"},"d":{"s0":"s3","s1":"s12","s2":"s2","s3":"s1","s4":"s12","s5":"s1","s6":"s8","s7":"s4","s8":"s6","s9":"s11","s10":"s6","s11":"s1","s12":"s5"},"e":{"s0":"s1","s1":"s2","s2":"s1","s3":"s10","s4":"s2","s5":"s0","s6":"s10","s7":"s6","s8":"s5","s9":"s0","s10":"s7","s11":"s8","s12":"s2"},"f":{"s0":"s3","s1":"s5","s2":"s5","s3":"s5","s4":"s12","s5":"s3","s6":"s0","s7":"s7","s8":"s7","s9":"s2","s10":"s1","s11":"s2","s12":"s12"}} | Given the following FSM:
a b c d e f
s0 s1 s5 s4 s3 s1 s3
s1 s12 s5 s8 s12 s2 s5
s2 s9 s4 s5 s2 s1 s5
s3 s8 s0 s7 s1 s10 s5
s4 s11 s9 s6 s12 s2 s12
s5 s1 s1 s0 s1 s0 s3
s6 s10 s12 s8 s8 s10 s0
s7 s2 s6 s0 s4 s6 s7
s8 s5 s8 s12 s6 s5 s7
s9 s8 s4 s1 s11 s0 s2
s10 s0 s9 s4 s6 s7 s1
s11 s6 s2 s12 s1 s8 s2
s12 s2 s0 s2 s5 s2 s12
If we are in state s10 and the input is b, what state will we be in next? | s9 |
ca9f7c69-97fa-43c1-bd9d-94604daf0582 | 50257100-0f96-4062-80e3-a20c8ca14c4b | {"states": ["s0", "s1", "s2", "s3", "s4", "s5"], "alphabets": "abc", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}]} | 2 | {"a":{"s0":"s0","s1":"s3","s2":"s5","s3":"s5","s4":"s1","s5":"s3"},"b":{"s0":"s2","s1":"s4","s2":"s5","s3":"s2","s4":"s2","s5":"s0"},"c":{"s0":"s5","s1":"s3","s2":"s2","s3":"s2","s4":"s4","s5":"s4"}} | Given the following FSM:
a b c
s0 s0 s2 s5
s1 s3 s4 s3
s2 s5 s5 s2
s3 s5 s2 s2
s4 s1 s2 s4
s5 s3 s0 s4
If we are in state s2 and the input is a, what state will we be in next? | s5 |
912286a2-12fa-4b99-a3b1-281f61a10fb2 | 5178420e-95af-47bc-b28e-ef1147d1ec7e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s10", "s11", "s12", "s13"], "alphabets": "abcd", "accepting_states": ["s4", "s5", "s11", "s0", "s13", "s3", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s13", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s13", "symbol": "d", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s4","s1":"s10","s2":"s8","s3":"s11","s4":"s12","s5":"s0","s6":"s0","s7":"s5","s8":"s12","s10":"s12","s11":"s2","s12":"s0","s13":"s4"},"b":{"s0":"s8","s1":"s3","s2":"s3","s3":"s7","s4":"s6","s5":"s11","s6":"s4","s7":"s5","s8":"s11","s10":"s3","s11":"s6","s12":"s6","s13":"s6"},"c":{"s0":"s4","s1":"s1","s2":"s1","s3":"s4","s4":"s7","s5":"s10","s6":"s6","s7":"s0","s8":"s11","s10":"s5","s11":"s5","s12":"s7","s13":"s4"},"d":{"s0":"s12","s1":"s6","s2":"s1","s3":"s13","s4":"s8","s5":"s4","s6":"s11","s7":"s10","s8":"s0","s10":"s11","s11":"s8","s12":"s0","s13":"s3"}} | Given the following FSM:
a b c d
s0 s4 s8 s4 s12
s1 s10 s3 s1 s6
s2 s8 s3 s1 s1
s3 s11 s7 s4 s13
s4 s12 s6 s7 s8
s5 s0 s11 s10 s4
s6 s0 s4 s6 s11
s7 s5 s5 s0 s10
s8 s12 s11 s11 s0
s10 s12 s3 s5 s11
s11 s2 s6 s5 s8
s12 s0 s6 s7 s0
s13 s4 s6 s4 s3
If we are in state s11 and the input is b, what state will we be in next? | s6 |
dd6a755d-c69c-4fa9-a9c3-1ea25c1a6297 | 0057767f-994d-44fc-a651-8ec13ade4ff7 | {"states": ["s0", "s2", "s4"], "alphabets": "a", "accepting_states": ["s4", "s0", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}]} | 2 | {"a":{"s0":"s2","s2":"s4","s4":"s0"}} | Given the following FSM:
a
s0 s2
s2 s4
s4 s0
If we are in state s0 and the input is a, what state will we be in next? | s2 |
429f6dd7-829f-45f2-858a-fed789a2095a | 35ca5822-484b-4e24-9e56-5e461844ddb2 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6"], "alphabets": "abcdefghij", "accepting_states": ["s4", "s6", "s2", "s0", "s3", "s1", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "j", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "j", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "j", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "j", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "j", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "j", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "j", "toStates": ["s2"]}]} | 4 | {"a":{"s0":"s5","s1":"s4","s2":"s0","s3":"s0","s4":"s5","s5":"s0","s6":"s1"},"b":{"s0":"s6","s1":"s4","s2":"s2","s3":"s5","s4":"s2","s5":"s0","s6":"s1"},"c":{"s0":"s4","s1":"s5","s2":"s1","s3":"s2","s4":"s2","s5":"s2","s6":"s4"},"d":{"s0":"s4","s1":"s5","s2":"s2","s3":"s6","s4":"s5","s5":"s1","s6":"s1"},"e":{"s0":"s0","s1":"s3","s2":"s4","s3":"s4","s4":"s4","s5":"s4","s6":"s4"},"f":{"s0":"s3","s1":"s6","s2":"s3","s3":"s3","s4":"s4","s5":"s2","s6":"s6"},"g":{"s0":"s6","s1":"s5","s2":"s6","s3":"s6","s4":"s6","s5":"s4","s6":"s5"},"h":{"s0":"s1","s1":"s1","s2":"s4","s3":"s4","s4":"s4","s5":"s1","s6":"s0"},"i":{"s0":"s3","s1":"s6","s2":"s6","s3":"s5","s4":"s6","s5":"s3","s6":"s1"},"j":{"s0":"s4","s1":"s3","s2":"s3","s3":"s6","s4":"s0","s5":"s0","s6":"s2"}} | Given the following FSM:
a b c d e f g h i j
s0 s5 s6 s4 s4 s0 s3 s6 s1 s3 s4
s1 s4 s4 s5 s5 s3 s6 s5 s1 s6 s3
s2 s0 s2 s1 s2 s4 s3 s6 s4 s6 s3
s3 s0 s5 s2 s6 s4 s3 s6 s4 s5 s6
s4 s5 s2 s2 s5 s4 s4 s6 s4 s6 s0
s5 s0 s0 s2 s1 s4 s2 s4 s1 s3 s0
s6 s1 s1 s4 s1 s4 s6 s5 s0 s1 s2
If we are in state s2 and the input is d, what state will we be in next? | s2 |
a664e8ce-ab50-448f-a4b8-d2ec4333d5f3 | 1518f6b7-836e-49e4-8d2a-e28c20901c62 | {"states": ["s0", "s1", "s2", "s3", "s4"], "alphabets": "abcdefg", "accepting_states": ["s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s3","s1":"s1","s2":"s2","s3":"s3","s4":"s3"},"b":{"s0":"s4","s1":"s3","s2":"s0","s3":"s4","s4":"s3"},"c":{"s0":"s0","s1":"s4","s2":"s0","s3":"s1","s4":"s0"},"d":{"s0":"s1","s1":"s0","s2":"s0","s3":"s1","s4":"s0"},"e":{"s0":"s0","s1":"s0","s2":"s1","s3":"s2","s4":"s4"},"f":{"s0":"s3","s1":"s1","s2":"s3","s3":"s0","s4":"s3"},"g":{"s0":"s2","s1":"s2","s2":"s3","s3":"s4","s4":"s1"}} | Given the following FSM:
a b c d e f g
s0 s3 s4 s0 s1 s0 s3 s2
s1 s1 s3 s4 s0 s0 s1 s2
s2 s2 s0 s0 s0 s1 s3 s3
s3 s3 s4 s1 s1 s2 s0 s4
s4 s3 s3 s0 s0 s4 s3 s1
If we are in state s0 and the input is c, what state will we be in next? | s0 |
d701e6a4-9f8d-419d-8b7c-fab56ba83006 | 8791d0a5-f48d-4897-acb3-bb97ffefce30 | {"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 j, what state will we be in next? | s0 |
c3d4a98a-e919-461c-aa0e-89c10370bdbc | c5f8b624-3edf-4a0a-a01f-dc3e7947cc50 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11"], "alphabets": "abcdefgh", "accepting_states": ["s8", "s6", "s9", "s10"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s5"]}]} | 5 | {"a":{"s0":"s8","s1":"s4","s2":"s3","s3":"s4","s4":"s2","s5":"s1","s6":"s8","s7":"s7","s8":"s6","s9":"s4","s10":"s2","s11":"s9"},"b":{"s0":"s1","s1":"s1","s2":"s0","s3":"s1","s4":"s4","s5":"s5","s6":"s5","s7":"s4","s8":"s4","s9":"s3","s10":"s7","s11":"s11"},"c":{"s0":"s10","s1":"s9","s2":"s8","s3":"s0","s4":"s3","s5":"s8","s6":"s0","s7":"s11","s8":"s7","s9":"s6","s10":"s2","s11":"s1"},"d":{"s0":"s2","s1":"s5","s2":"s10","s3":"s9","s4":"s0","s5":"s7","s6":"s5","s7":"s2","s8":"s11","s9":"s2","s10":"s11","s11":"s10"},"e":{"s0":"s2","s1":"s8","s2":"s0","s3":"s2","s4":"s10","s5":"s8","s6":"s4","s7":"s1","s8":"s0","s9":"s5","s10":"s6","s11":"s10"},"f":{"s0":"s7","s1":"s2","s2":"s2","s3":"s2","s4":"s7","s5":"s10","s6":"s6","s7":"s5","s8":"s6","s9":"s6","s10":"s9","s11":"s9"},"g":{"s0":"s5","s1":"s1","s2":"s7","s3":"s3","s4":"s10","s5":"s8","s6":"s3","s7":"s5","s8":"s9","s9":"s11","s10":"s8","s11":"s5"},"h":{"s0":"s11","s1":"s3","s2":"s5","s3":"s0","s4":"s9","s5":"s1","s6":"s5","s7":"s8","s8":"s11","s9":"s10","s10":"s1","s11":"s5"}} | Given the following FSM:
a b c d e f g h
s0 s8 s1 s10 s2 s2 s7 s5 s11
s1 s4 s1 s9 s5 s8 s2 s1 s3
s2 s3 s0 s8 s10 s0 s2 s7 s5
s3 s4 s1 s0 s9 s2 s2 s3 s0
s4 s2 s4 s3 s0 s10 s7 s10 s9
s5 s1 s5 s8 s7 s8 s10 s8 s1
s6 s8 s5 s0 s5 s4 s6 s3 s5
s7 s7 s4 s11 s2 s1 s5 s5 s8
s8 s6 s4 s7 s11 s0 s6 s9 s11
s9 s4 s3 s6 s2 s5 s6 s11 s10
s10 s2 s7 s2 s11 s6 s9 s8 s1
s11 s9 s11 s1 s10 s10 s9 s5 s5
If we are in state s9 and the input is b, what state will we be in next? | s3 |
6c80b7f7-7764-4357-83f2-9aed19fa0a5f | 1983ea36-9ddf-4515-ad08-eb4c4cfe0e05 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcdefg", "accepting_states": ["s6", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s9","s1":"s8","s2":"s4","s3":"s3","s4":"s9","s5":"s7","s6":"s3","s7":"s4","s8":"s2","s9":"s9"},"b":{"s0":"s3","s1":"s2","s2":"s2","s3":"s0","s4":"s6","s5":"s7","s6":"s3","s7":"s4","s8":"s5","s9":"s6"},"c":{"s0":"s9","s1":"s1","s2":"s5","s3":"s1","s4":"s0","s5":"s9","s6":"s9","s7":"s8","s8":"s8","s9":"s0"},"d":{"s0":"s5","s1":"s3","s2":"s9","s3":"s0","s4":"s9","s5":"s9","s6":"s5","s7":"s2","s8":"s8","s9":"s0"},"e":{"s0":"s7","s1":"s2","s2":"s9","s3":"s3","s4":"s5","s5":"s1","s6":"s1","s7":"s3","s8":"s7","s9":"s3"},"f":{"s0":"s8","s1":"s2","s2":"s6","s3":"s9","s4":"s9","s5":"s0","s6":"s7","s7":"s6","s8":"s5","s9":"s6"},"g":{"s0":"s7","s1":"s6","s2":"s7","s3":"s8","s4":"s4","s5":"s8","s6":"s1","s7":"s0","s8":"s8","s9":"s5"}} | Given the following FSM:
a b c d e f g
s0 s9 s3 s9 s5 s7 s8 s7
s1 s8 s2 s1 s3 s2 s2 s6
s2 s4 s2 s5 s9 s9 s6 s7
s3 s3 s0 s1 s0 s3 s9 s8
s4 s9 s6 s0 s9 s5 s9 s4
s5 s7 s7 s9 s9 s1 s0 s8
s6 s3 s3 s9 s5 s1 s7 s1
s7 s4 s4 s8 s2 s3 s6 s0
s8 s2 s5 s8 s8 s7 s5 s8
s9 s9 s6 s0 s0 s3 s6 s5
If we are in state s9 and the input is d, what state will we be in next? | s0 |
4d0d0cd6-5397-4265-81f4-0f89103ae56d | d968d0a9-00b9-4e46-a12c-f8a8b03debe1 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7"], "alphabets": "abcdef", "accepting_states": ["s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s3","s1":"s4","s2":"s6","s3":"s2","s4":"s5","s5":"s3","s6":"s4","s7":"s3"},"b":{"s0":"s1","s1":"s6","s2":"s3","s3":"s0","s4":"s1","s5":"s6","s6":"s3","s7":"s6"},"c":{"s0":"s4","s1":"s7","s2":"s6","s3":"s0","s4":"s3","s5":"s4","s6":"s7","s7":"s7"},"d":{"s0":"s7","s1":"s7","s2":"s0","s3":"s7","s4":"s6","s5":"s5","s6":"s6","s7":"s2"},"e":{"s0":"s5","s1":"s7","s2":"s4","s3":"s7","s4":"s5","s5":"s3","s6":"s0","s7":"s1"},"f":{"s0":"s5","s1":"s0","s2":"s3","s3":"s5","s4":"s6","s5":"s6","s6":"s0","s7":"s5"}} | Given the following FSM:
a b c d e f
s0 s3 s1 s4 s7 s5 s5
s1 s4 s6 s7 s7 s7 s0
s2 s6 s3 s6 s0 s4 s3
s3 s2 s0 s0 s7 s7 s5
s4 s5 s1 s3 s6 s5 s6
s5 s3 s6 s4 s5 s3 s6
s6 s4 s3 s7 s6 s0 s0
s7 s3 s6 s7 s2 s1 s5
If we are in state s2 and the input is e, what state will we be in next? | s4 |
ad9adabe-304c-4a67-846f-a5b3ac3ffa0d | 34524bee-4e7f-4f27-a5a2-784f367e2875 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcdef", "accepting_states": ["s4", "s8", "s9", "s3", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s4","s1":"s0","s2":"s9","s3":"s3","s4":"s1","s5":"s3","s6":"s1","s7":"s7","s8":"s2","s9":"s4"},"b":{"s0":"s1","s1":"s3","s2":"s0","s3":"s5","s4":"s7","s5":"s0","s6":"s7","s7":"s8","s8":"s2","s9":"s0"},"c":{"s0":"s6","s1":"s4","s2":"s4","s3":"s0","s4":"s1","s5":"s6","s6":"s3","s7":"s4","s8":"s9","s9":"s8"},"d":{"s0":"s7","s1":"s8","s2":"s6","s3":"s6","s4":"s5","s5":"s7","s6":"s5","s7":"s0","s8":"s1","s9":"s3"},"e":{"s0":"s4","s1":"s0","s2":"s4","s3":"s6","s4":"s3","s5":"s8","s6":"s2","s7":"s1","s8":"s7","s9":"s8"},"f":{"s0":"s4","s1":"s5","s2":"s8","s3":"s4","s4":"s3","s5":"s6","s6":"s2","s7":"s0","s8":"s4","s9":"s7"}} | Given the following FSM:
a b c d e f
s0 s4 s1 s6 s7 s4 s4
s1 s0 s3 s4 s8 s0 s5
s2 s9 s0 s4 s6 s4 s8
s3 s3 s5 s0 s6 s6 s4
s4 s1 s7 s1 s5 s3 s3
s5 s3 s0 s6 s7 s8 s6
s6 s1 s7 s3 s5 s2 s2
s7 s7 s8 s4 s0 s1 s0
s8 s2 s2 s9 s1 s7 s4
s9 s4 s0 s8 s3 s8 s7
If we are in state s3 and the input is c, what state will we be in next? | s0 |
09082cf4-9a8e-4d0c-9dc5-db1cbe24442d | faee5aa5-2ecd-45b0-87e8-6006a540562b | {"states": ["s0", "s1", "s2", "s3", "s4", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abc", "accepting_states": ["s4", "s6", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s0"]}]} | 4 | {"a":{"s0":"s3","s1":"s1","s2":"s12","s3":"s12","s4":"s9","s6":"s3","s7":"s8","s8":"s7","s9":"s4","s10":"s4","s11":"s7","s12":"s11"},"b":{"s0":"s8","s1":"s10","s2":"s6","s3":"s11","s4":"s9","s6":"s9","s7":"s1","s8":"s6","s9":"s3","s10":"s2","s11":"s10","s12":"s7"},"c":{"s0":"s3","s1":"s0","s2":"s11","s3":"s7","s4":"s8","s6":"s0","s7":"s7","s8":"s6","s9":"s3","s10":"s2","s11":"s2","s12":"s0"}} | Given the following FSM:
a b c
s0 s3 s8 s3
s1 s1 s10 s0
s2 s12 s6 s11
s3 s12 s11 s7
s4 s9 s9 s8
s6 s3 s9 s0
s7 s8 s1 s7
s8 s7 s6 s6
s9 s4 s3 s3
s10 s4 s2 s2
s11 s7 s10 s2
s12 s11 s7 s0
If we are in state s12 and the input is b, what state will we be in next? | s7 |
66ecade2-241f-486b-92d6-fd1356dc0e56 | 420de615-57e8-4658-b506-5f3ddac3a248 | {"states": ["s0", "s1", "s4"], "alphabets": "a", "accepting_states": ["s4", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}]} | 2 | {"a":{"s0":"s1","s1":"s4","s4":"s0"}} | Given the following FSM:
a
s0 s1
s1 s4
s4 s0
If we are in state s0 and the input is a, what state will we be in next? | s1 |
85ac7e22-0d04-4506-951a-df1c8a7970c5 | 303502e6-c75e-441b-a549-bc46129fc57d | {"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 |
4bbbe0a9-6689-433d-9b6b-ef3ff8d0e586 | 8ab114b3-4fd1-478c-a222-f18be1cd8650 | {"states": ["s0", "s1", "s2", "s4", "s5", "s6", "s7", "s10"], "alphabets": "ab", "accepting_states": ["s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s7"]}]} | 3 | {"a":{"s0":"s2","s1":"s10","s2":"s0","s4":"s6","s5":"s4","s6":"s7","s7":"s0","s10":"s6"},"b":{"s0":"s7","s1":"s6","s2":"s6","s4":"s5","s5":"s1","s6":"s4","s7":"s7","s10":"s7"}} | Given the following FSM:
a b
s0 s2 s7
s1 s10 s6
s2 s0 s6
s4 s6 s5
s5 s4 s1
s6 s7 s4
s7 s0 s7
s10 s6 s7
If we are in state s7 and the input is b, what state will we be in next? | s7 |
5f186765-9b4c-4063-b0c9-a6b86d36151d | 0be16f3a-abfb-4e63-b9a2-44aef3d1d956 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abcdefghi", "accepting_states": ["s0", "s10", "s3", "s12", "s4", "s1", "s7", "s9", "s2", "s5", "s11"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s12"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s12"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s12"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "i", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "i", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s12", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s12", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s12", "symbol": "i", "toStates": ["s10"]}]} | 5 | {"a":{"s0":"s4","s1":"s9","s2":"s0","s3":"s6","s4":"s2","s5":"s9","s6":"s10","s7":"s4","s8":"s8","s9":"s3","s10":"s7","s11":"s5","s12":"s5"},"b":{"s0":"s1","s1":"s8","s2":"s10","s3":"s7","s4":"s6","s5":"s11","s6":"s10","s7":"s1","s8":"s6","s9":"s3","s10":"s0","s11":"s12","s12":"s11"},"c":{"s0":"s11","s1":"s3","s2":"s11","s3":"s11","s4":"s2","s5":"s12","s6":"s4","s7":"s12","s8":"s2","s9":"s8","s10":"s4","s11":"s12","s12":"s4"},"d":{"s0":"s5","s1":"s5","s2":"s6","s3":"s5","s4":"s12","s5":"s9","s6":"s0","s7":"s7","s8":"s1","s9":"s0","s10":"s10","s11":"s7","s12":"s5"},"e":{"s0":"s6","s1":"s8","s2":"s12","s3":"s6","s4":"s7","s5":"s9","s6":"s4","s7":"s1","s8":"s9","s9":"s7","s10":"s0","s11":"s5","s12":"s10"},"f":{"s0":"s4","s1":"s2","s2":"s5","s3":"s3","s4":"s11","s5":"s10","s6":"s4","s7":"s3","s8":"s5","s9":"s4","s10":"s0","s11":"s0","s12":"s2"},"g":{"s0":"s8","s1":"s11","s2":"s7","s3":"s7","s4":"s4","s5":"s6","s6":"s12","s7":"s8","s8":"s5","s9":"s4","s10":"s1","s11":"s8","s12":"s2"},"h":{"s0":"s4","s1":"s3","s2":"s12","s3":"s0","s4":"s6","s5":"s0","s6":"s5","s7":"s2","s8":"s12","s9":"s6","s10":"s7","s11":"s7","s12":"s8"},"i":{"s0":"s11","s1":"s9","s2":"s3","s3":"s2","s4":"s3","s5":"s12","s6":"s11","s7":"s3","s8":"s1","s9":"s1","s10":"s10","s11":"s12","s12":"s10"}} | Given the following FSM:
a b c d e f g h i
s0 s4 s1 s11 s5 s6 s4 s8 s4 s11
s1 s9 s8 s3 s5 s8 s2 s11 s3 s9
s2 s0 s10 s11 s6 s12 s5 s7 s12 s3
s3 s6 s7 s11 s5 s6 s3 s7 s0 s2
s4 s2 s6 s2 s12 s7 s11 s4 s6 s3
s5 s9 s11 s12 s9 s9 s10 s6 s0 s12
s6 s10 s10 s4 s0 s4 s4 s12 s5 s11
s7 s4 s1 s12 s7 s1 s3 s8 s2 s3
s8 s8 s6 s2 s1 s9 s5 s5 s12 s1
s9 s3 s3 s8 s0 s7 s4 s4 s6 s1
s10 s7 s0 s4 s10 s0 s0 s1 s7 s10
s11 s5 s12 s12 s7 s5 s0 s8 s7 s12
s12 s5 s11 s4 s5 s10 s2 s2 s8 s10
If we are in state s1 and the input is d, what state will we be in next? | s5 |
40abe4bf-78f9-45bc-b818-dc6343770873 | 561ba1b4-ebb4-483a-b266-2b7df9c43fa7 | {"states": ["s0", "s2", "s4", "s5", "s6", "s9"], "alphabets": "a", "accepting_states": ["s6", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s9","s2":"s4","s4":"s5","s5":"s6","s6":"s2","s9":"s2"}} | Given the following FSM:
a
s0 s9
s2 s4
s4 s5
s5 s6
s6 s2
s9 s2
If we are in state s5 and the input is a, what state will we be in next? | s6 |