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 |
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17d14709-3185-4b52-9fa8-2366da6bf317 | 87691041-bb50-4a6e-8217-8fbb75234316 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11"], "alphabets": "abcdefghi", "accepting_states": ["s5", "s7", "s3", "s10"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "i", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "i", "toStates": ["s4"]}]} | 5 | {"a":{"s0":"s6","s1":"s11","s2":"s9","s3":"s10","s4":"s11","s5":"s5","s6":"s5","s7":"s1","s8":"s6","s9":"s9","s10":"s7","s11":"s3"},"b":{"s0":"s10","s1":"s9","s2":"s3","s3":"s10","s4":"s10","s5":"s9","s6":"s7","s7":"s0","s8":"s1","s9":"s4","s10":"s8","s11":"s7"},"c":{"s0":"s3","s1":"s10","s2":"s1","s3":"s11","s4":"s2","s5":"s2","s6":"s7","s7":"s4","s8":"s2","s9":"s9","s10":"s0","s11":"s0"},"d":{"s0":"s7","s1":"s8","s2":"s9","s3":"s4","s4":"s7","s5":"s0","s6":"s2","s7":"s10","s8":"s2","s9":"s2","s10":"s7","s11":"s1"},"e":{"s0":"s1","s1":"s5","s2":"s8","s3":"s6","s4":"s3","s5":"s11","s6":"s1","s7":"s6","s8":"s8","s9":"s8","s10":"s2","s11":"s8"},"f":{"s0":"s8","s1":"s0","s2":"s10","s3":"s5","s4":"s1","s5":"s1","s6":"s2","s7":"s0","s8":"s0","s9":"s10","s10":"s3","s11":"s6"},"g":{"s0":"s8","s1":"s6","s2":"s7","s3":"s2","s4":"s7","s5":"s9","s6":"s1","s7":"s3","s8":"s3","s9":"s4","s10":"s5","s11":"s11"},"h":{"s0":"s0","s1":"s8","s2":"s7","s3":"s1","s4":"s4","s5":"s2","s6":"s0","s7":"s2","s8":"s4","s9":"s8","s10":"s3","s11":"s0"},"i":{"s0":"s11","s1":"s0","s2":"s2","s3":"s6","s4":"s8","s5":"s4","s6":"s5","s7":"s4","s8":"s0","s9":"s4","s10":"s10","s11":"s4"}} | Given the following FSM:
a b c d e f g h i
s0 s6 s10 s3 s7 s1 s8 s8 s0 s11
s1 s11 s9 s10 s8 s5 s0 s6 s8 s0
s2 s9 s3 s1 s9 s8 s10 s7 s7 s2
s3 s10 s10 s11 s4 s6 s5 s2 s1 s6
s4 s11 s10 s2 s7 s3 s1 s7 s4 s8
s5 s5 s9 s2 s0 s11 s1 s9 s2 s4
s6 s5 s7 s7 s2 s1 s2 s1 s0 s5
s7 s1 s0 s4 s10 s6 s0 s3 s2 s4
s8 s6 s1 s2 s2 s8 s0 s3 s4 s0
s9 s9 s4 s9 s2 s8 s10 s4 s8 s4
s10 s7 s8 s0 s7 s2 s3 s5 s3 s10
s11 s3 s7 s0 s1 s8 s6 s11 s0 s4
If we are in state s3 and the input is d, what state will we be in next? | s4 |
f964bb7a-0555-49c5-b6b7-c9c6bce27b26 | e6a025c0-c6e4-4feb-bab5-ba2cb615023d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s0", "s8", "s6", "s7", "s3", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "h", "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": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s7","s1":"s1","s2":"s4","s3":"s3","s4":"s4","s5":"s3","s6":"s3","s7":"s7","s8":"s1"},"b":{"s0":"s3","s1":"s0","s2":"s3","s3":"s4","s4":"s7","s5":"s7","s6":"s6","s7":"s7","s8":"s2"},"c":{"s0":"s6","s1":"s7","s2":"s2","s3":"s2","s4":"s4","s5":"s6","s6":"s2","s7":"s0","s8":"s7"},"d":{"s0":"s1","s1":"s1","s2":"s4","s3":"s6","s4":"s2","s5":"s8","s6":"s1","s7":"s4","s8":"s4"},"e":{"s0":"s3","s1":"s4","s2":"s1","s3":"s3","s4":"s5","s5":"s1","s6":"s0","s7":"s0","s8":"s6"},"f":{"s0":"s5","s1":"s3","s2":"s4","s3":"s5","s4":"s2","s5":"s5","s6":"s3","s7":"s1","s8":"s5"},"g":{"s0":"s7","s1":"s0","s2":"s2","s3":"s4","s4":"s4","s5":"s3","s6":"s6","s7":"s5","s8":"s3"},"h":{"s0":"s6","s1":"s5","s2":"s8","s3":"s3","s4":"s8","s5":"s8","s6":"s2","s7":"s2","s8":"s7"}} | Given the following FSM:
a b c d e f g h
s0 s7 s3 s6 s1 s3 s5 s7 s6
s1 s1 s0 s7 s1 s4 s3 s0 s5
s2 s4 s3 s2 s4 s1 s4 s2 s8
s3 s3 s4 s2 s6 s3 s5 s4 s3
s4 s4 s7 s4 s2 s5 s2 s4 s8
s5 s3 s7 s6 s8 s1 s5 s3 s8
s6 s3 s6 s2 s1 s0 s3 s6 s2
s7 s7 s7 s0 s4 s0 s1 s5 s2
s8 s1 s2 s7 s4 s6 s5 s3 s7
If we are in state s6 and the input is d, what state will we be in next? | s1 |
1dd4583b-4dde-4d4e-b942-812c1442ec31 | 1279d2c8-4424-41cb-aa09-c439729a96db | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11"], "alphabets": "abcdefg", "accepting_states": ["s4", "s9", "s11", "s10", "s0", "s7", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s0"]}]} | 4 | {"a":{"s0":"s6","s1":"s5","s2":"s0","s3":"s4","s4":"s0","s5":"s9","s6":"s8","s7":"s7","s8":"s5","s9":"s10","s10":"s3","s11":"s8"},"b":{"s0":"s4","s1":"s11","s2":"s0","s3":"s1","s4":"s1","s5":"s6","s6":"s8","s7":"s5","s8":"s0","s9":"s3","s10":"s7","s11":"s6"},"c":{"s0":"s6","s1":"s2","s2":"s5","s3":"s5","s4":"s2","s5":"s4","s6":"s3","s7":"s4","s8":"s9","s9":"s9","s10":"s1","s11":"s10"},"d":{"s0":"s1","s1":"s6","s2":"s2","s3":"s3","s4":"s4","s5":"s0","s6":"s7","s7":"s3","s8":"s9","s9":"s4","s10":"s8","s11":"s10"},"e":{"s0":"s3","s1":"s5","s2":"s8","s3":"s6","s4":"s10","s5":"s0","s6":"s3","s7":"s9","s8":"s5","s9":"s9","s10":"s9","s11":"s9"},"f":{"s0":"s6","s1":"s1","s2":"s5","s3":"s1","s4":"s10","s5":"s10","s6":"s6","s7":"s8","s8":"s2","s9":"s11","s10":"s0","s11":"s1"},"g":{"s0":"s7","s1":"s4","s2":"s9","s3":"s0","s4":"s1","s5":"s1","s6":"s8","s7":"s2","s8":"s7","s9":"s9","s10":"s4","s11":"s0"}} | Given the following FSM:
a b c d e f g
s0 s6 s4 s6 s1 s3 s6 s7
s1 s5 s11 s2 s6 s5 s1 s4
s2 s0 s0 s5 s2 s8 s5 s9
s3 s4 s1 s5 s3 s6 s1 s0
s4 s0 s1 s2 s4 s10 s10 s1
s5 s9 s6 s4 s0 s0 s10 s1
s6 s8 s8 s3 s7 s3 s6 s8
s7 s7 s5 s4 s3 s9 s8 s2
s8 s5 s0 s9 s9 s5 s2 s7
s9 s10 s3 s9 s4 s9 s11 s9
s10 s3 s7 s1 s8 s9 s0 s4
s11 s8 s6 s10 s10 s9 s1 s0
If we are in state s8 and the input is g, what state will we be in next? | s7 |
dfaa13f2-673f-45d2-9ad9-7b1e5b1490b9 | edeb32be-c1f3-4344-8111-fe452bd3f205 | {"states": ["s0"], "alphabets": "abcdefg", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}]} | 2 | {"a":{"s0":"s0"},"b":{"s0":"s0"},"c":{"s0":"s0"},"d":{"s0":"s0"},"e":{"s0":"s0"},"f":{"s0":"s0"},"g":{"s0":"s0"}} | Given the following FSM:
a b c d e f g
s0 s0 s0 s0 s0 s0 s0 s0
If we are in state s0 and the input is g, what state will we be in next? | s0 |
596fb192-561d-4b21-8da7-d386bc5cd938 | 6e5293a5-aac5-46d8-b2c9-610dcd5e23c4 | {"states": ["s0", "s1", "s2", "s3", "s4"], "alphabets": "abcdefgh", "accepting_states": ["s1", "s4", "s2", "s0", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"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": "s1", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s2","s1":"s0","s2":"s3","s3":"s3","s4":"s3"},"b":{"s0":"s0","s1":"s4","s2":"s1","s3":"s2","s4":"s0"},"c":{"s0":"s3","s1":"s3","s2":"s4","s3":"s0","s4":"s3"},"d":{"s0":"s0","s1":"s0","s2":"s3","s3":"s4","s4":"s4"},"e":{"s0":"s1","s1":"s0","s2":"s2","s3":"s4","s4":"s2"},"f":{"s0":"s3","s1":"s1","s2":"s2","s3":"s2","s4":"s1"},"g":{"s0":"s3","s1":"s2","s2":"s2","s3":"s4","s4":"s1"},"h":{"s0":"s0","s1":"s4","s2":"s2","s3":"s2","s4":"s2"}} | Given the following FSM:
a b c d e f g h
s0 s2 s0 s3 s0 s1 s3 s3 s0
s1 s0 s4 s3 s0 s0 s1 s2 s4
s2 s3 s1 s4 s3 s2 s2 s2 s2
s3 s3 s2 s0 s4 s4 s2 s4 s2
s4 s3 s0 s3 s4 s2 s1 s1 s2
If we are in state s1 and the input is b, what state will we be in next? | s4 |
0841565d-4125-4aa3-a60b-79f20e7b9d70 | 28aea608-9fdb-4c24-bb11-d597233c1354 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abcdefg", "accepting_states": ["s8", "s2", "s0", "s10", "s1", "s5", "s11", "s12", "s9", "s7", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "g", "toStates": ["s1"]}]} | 5 | {"a":{"s0":"s11","s1":"s0","s2":"s10","s3":"s9","s4":"s4","s5":"s9","s6":"s7","s7":"s0","s8":"s0","s9":"s0","s10":"s2","s11":"s10","s12":"s0"},"b":{"s0":"s8","s1":"s0","s2":"s12","s3":"s2","s4":"s12","s5":"s4","s6":"s10","s7":"s7","s8":"s1","s9":"s11","s10":"s1","s11":"s8","s12":"s0"},"c":{"s0":"s6","s1":"s6","s2":"s11","s3":"s2","s4":"s2","s5":"s5","s6":"s10","s7":"s10","s8":"s7","s9":"s4","s10":"s12","s11":"s12","s12":"s5"},"d":{"s0":"s11","s1":"s10","s2":"s11","s3":"s2","s4":"s1","s5":"s0","s6":"s11","s7":"s1","s8":"s11","s9":"s6","s10":"s0","s11":"s2","s12":"s4"},"e":{"s0":"s10","s1":"s3","s2":"s7","s3":"s6","s4":"s8","s5":"s8","s6":"s3","s7":"s8","s8":"s3","s9":"s3","s10":"s0","s11":"s8","s12":"s1"},"f":{"s0":"s10","s1":"s0","s2":"s11","s3":"s5","s4":"s9","s5":"s0","s6":"s12","s7":"s8","s8":"s5","s9":"s0","s10":"s0","s11":"s0","s12":"s5"},"g":{"s0":"s2","s1":"s6","s2":"s5","s3":"s6","s4":"s4","s5":"s8","s6":"s6","s7":"s9","s8":"s6","s9":"s4","s10":"s2","s11":"s0","s12":"s1"}} | Given the following FSM:
a b c d e f g
s0 s11 s8 s6 s11 s10 s10 s2
s1 s0 s0 s6 s10 s3 s0 s6
s2 s10 s12 s11 s11 s7 s11 s5
s3 s9 s2 s2 s2 s6 s5 s6
s4 s4 s12 s2 s1 s8 s9 s4
s5 s9 s4 s5 s0 s8 s0 s8
s6 s7 s10 s10 s11 s3 s12 s6
s7 s0 s7 s10 s1 s8 s8 s9
s8 s0 s1 s7 s11 s3 s5 s6
s9 s0 s11 s4 s6 s3 s0 s4
s10 s2 s1 s12 s0 s0 s0 s2
s11 s10 s8 s12 s2 s8 s0 s0
s12 s0 s0 s5 s4 s1 s5 s1
If we are in state s5 and the input is f, what state will we be in next? | s0 |
5c09ae47-45ce-46bb-a7b8-5af0f4c4cb84 | 61bc9428-9d99-4a85-9d80-feafc0c944cb | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11"], "alphabets": "abcdefghi", "accepting_states": ["s5", "s0", "s3", "s9", "s11", "s2", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "i", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "i", "toStates": ["s2"]}]} | 5 | {"a":{"s0":"s9","s1":"s10","s2":"s3","s3":"s11","s4":"s1","s5":"s9","s6":"s5","s7":"s2","s8":"s2","s9":"s0","s10":"s9","s11":"s11"},"b":{"s0":"s11","s1":"s8","s2":"s4","s3":"s4","s4":"s5","s5":"s9","s6":"s0","s7":"s7","s8":"s9","s9":"s5","s10":"s10","s11":"s8"},"c":{"s0":"s6","s1":"s10","s2":"s10","s3":"s3","s4":"s3","s5":"s5","s6":"s11","s7":"s8","s8":"s2","s9":"s5","s10":"s11","s11":"s0"},"d":{"s0":"s6","s1":"s7","s2":"s4","s3":"s1","s4":"s5","s5":"s3","s6":"s5","s7":"s4","s8":"s0","s9":"s9","s10":"s7","s11":"s0"},"e":{"s0":"s2","s1":"s6","s2":"s8","s3":"s6","s4":"s11","s5":"s8","s6":"s4","s7":"s9","s8":"s4","s9":"s10","s10":"s6","s11":"s7"},"f":{"s0":"s1","s1":"s10","s2":"s9","s3":"s7","s4":"s4","s5":"s4","s6":"s8","s7":"s2","s8":"s10","s9":"s6","s10":"s2","s11":"s0"},"g":{"s0":"s4","s1":"s8","s2":"s5","s3":"s7","s4":"s3","s5":"s6","s6":"s5","s7":"s2","s8":"s3","s9":"s10","s10":"s4","s11":"s8"},"h":{"s0":"s0","s1":"s7","s2":"s2","s3":"s5","s4":"s3","s5":"s0","s6":"s7","s7":"s3","s8":"s3","s9":"s10","s10":"s1","s11":"s4"},"i":{"s0":"s7","s1":"s0","s2":"s3","s3":"s2","s4":"s11","s5":"s7","s6":"s1","s7":"s2","s8":"s1","s9":"s9","s10":"s8","s11":"s2"}} | Given the following FSM:
a b c d e f g h i
s0 s9 s11 s6 s6 s2 s1 s4 s0 s7
s1 s10 s8 s10 s7 s6 s10 s8 s7 s0
s2 s3 s4 s10 s4 s8 s9 s5 s2 s3
s3 s11 s4 s3 s1 s6 s7 s7 s5 s2
s4 s1 s5 s3 s5 s11 s4 s3 s3 s11
s5 s9 s9 s5 s3 s8 s4 s6 s0 s7
s6 s5 s0 s11 s5 s4 s8 s5 s7 s1
s7 s2 s7 s8 s4 s9 s2 s2 s3 s2
s8 s2 s9 s2 s0 s4 s10 s3 s3 s1
s9 s0 s5 s5 s9 s10 s6 s10 s10 s9
s10 s9 s10 s11 s7 s6 s2 s4 s1 s8
s11 s11 s8 s0 s0 s7 s0 s8 s4 s2
If we are in state s8 and the input is a, what state will we be in next? | s2 |
31466cc7-5a8c-4277-9ceb-7732a38e04c6 | ce95e176-9ae3-448a-8434-8cf9f65aab94 | {"states": ["s0", "s1"], "alphabets": "abcd", "accepting_states": ["s0", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}]} | 2 | {"a":{"s0":"s0","s1":"s1"},"b":{"s0":"s1","s1":"s1"},"c":{"s0":"s0","s1":"s1"},"d":{"s0":"s1","s1":"s1"}} | Given the following FSM:
a b c d
s0 s0 s1 s0 s1
s1 s1 s1 s1 s1
If we are in state s0 and the input is a, what state will we be in next? | s0 |
2419470f-9b45-47c7-a5e5-a2eb56c29867 | 51812a9b-d909-4b70-ba85-1aef66773d84 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s8", "s3", "s4", "s6", "s7", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s5","s1":"s7","s2":"s2","s3":"s0","s4":"s6","s5":"s6","s6":"s5","s7":"s8","s8":"s1"},"b":{"s0":"s2","s1":"s4","s2":"s6","s3":"s0","s4":"s8","s5":"s2","s6":"s6","s7":"s8","s8":"s2"},"c":{"s0":"s2","s1":"s6","s2":"s6","s3":"s4","s4":"s4","s5":"s2","s6":"s5","s7":"s1","s8":"s2"},"d":{"s0":"s2","s1":"s6","s2":"s5","s3":"s6","s4":"s1","s5":"s1","s6":"s2","s7":"s5","s8":"s6"},"e":{"s0":"s4","s1":"s6","s2":"s6","s3":"s6","s4":"s0","s5":"s4","s6":"s7","s7":"s3","s8":"s2"},"f":{"s0":"s6","s1":"s1","s2":"s7","s3":"s8","s4":"s5","s5":"s6","s6":"s3","s7":"s4","s8":"s1"},"g":{"s0":"s3","s1":"s1","s2":"s6","s3":"s6","s4":"s4","s5":"s5","s6":"s3","s7":"s5","s8":"s5"}} | Given the following FSM:
a b c d e f g
s0 s5 s2 s2 s2 s4 s6 s3
s1 s7 s4 s6 s6 s6 s1 s1
s2 s2 s6 s6 s5 s6 s7 s6
s3 s0 s0 s4 s6 s6 s8 s6
s4 s6 s8 s4 s1 s0 s5 s4
s5 s6 s2 s2 s1 s4 s6 s5
s6 s5 s6 s5 s2 s7 s3 s3
s7 s8 s8 s1 s5 s3 s4 s5
s8 s1 s2 s2 s6 s2 s1 s5
If we are in state s0 and the input is f, what state will we be in next? | s6 |
22b69422-ca4e-453b-95af-7fd012007b6b | 11d109d1-8a2d-4b6a-bde5-14a215392c65 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s7", "s8", "s10", "s11", "s12"], "alphabets": "abcd", "accepting_states": ["s1", "s4", "s10", "s7", "s12", "s11", "s5", "s8", "s0", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s1","s1":"s5","s2":"s5","s3":"s1","s4":"s8","s5":"s0","s7":"s3","s8":"s3","s10":"s8","s11":"s4","s12":"s0"},"b":{"s0":"s10","s1":"s4","s2":"s4","s3":"s0","s4":"s3","s5":"s3","s7":"s4","s8":"s4","s10":"s5","s11":"s0","s12":"s7"},"c":{"s0":"s3","s1":"s8","s2":"s3","s3":"s10","s4":"s7","s5":"s2","s7":"s10","s8":"s11","s10":"s10","s11":"s7","s12":"s12"},"d":{"s0":"s4","s1":"s7","s2":"s12","s3":"s11","s4":"s10","s5":"s10","s7":"s1","s8":"s1","s10":"s11","s11":"s1","s12":"s4"}} | Given the following FSM:
a b c d
s0 s1 s10 s3 s4
s1 s5 s4 s8 s7
s2 s5 s4 s3 s12
s3 s1 s0 s10 s11
s4 s8 s3 s7 s10
s5 s0 s3 s2 s10
s7 s3 s4 s10 s1
s8 s3 s4 s11 s1
s10 s8 s5 s10 s11
s11 s4 s0 s7 s1
s12 s0 s7 s12 s4
If we are in state s4 and the input is d, what state will we be in next? | s10 |
bc3cd461-e63f-407f-878b-5100aea429ce | 231c5533-93ba-431b-a27f-7e9e52d22805 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5"], "alphabets": "abcdefgh", "accepting_states": ["s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s5","s1":"s4","s2":"s5","s3":"s5","s4":"s3","s5":"s4"},"b":{"s0":"s1","s1":"s5","s2":"s2","s3":"s1","s4":"s4","s5":"s0"},"c":{"s0":"s0","s1":"s2","s2":"s2","s3":"s5","s4":"s0","s5":"s1"},"d":{"s0":"s1","s1":"s5","s2":"s0","s3":"s2","s4":"s3","s5":"s4"},"e":{"s0":"s4","s1":"s5","s2":"s4","s3":"s4","s4":"s5","s5":"s4"},"f":{"s0":"s2","s1":"s4","s2":"s1","s3":"s1","s4":"s0","s5":"s1"},"g":{"s0":"s0","s1":"s3","s2":"s5","s3":"s0","s4":"s4","s5":"s0"},"h":{"s0":"s5","s1":"s3","s2":"s5","s3":"s3","s4":"s0","s5":"s2"}} | Given the following FSM:
a b c d e f g h
s0 s5 s1 s0 s1 s4 s2 s0 s5
s1 s4 s5 s2 s5 s5 s4 s3 s3
s2 s5 s2 s2 s0 s4 s1 s5 s5
s3 s5 s1 s5 s2 s4 s1 s0 s3
s4 s3 s4 s0 s3 s5 s0 s4 s0
s5 s4 s0 s1 s4 s4 s1 s0 s2
If we are in state s5 and the input is b, what state will we be in next? | s0 |
7b28b778-645b-4bf0-94a2-ed8938057c7c | 3c8fe416-89fa-4aeb-abcb-b1e29541cd0f | {"states": ["s0", "s1", "s2", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12", "s13"], "alphabets": "abcd", "accepting_states": ["s10", "s2", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s13"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s13", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s13", "symbol": "d", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s0","s1":"s5","s2":"s13","s4":"s5","s5":"s4","s6":"s9","s7":"s8","s8":"s13","s9":"s5","s10":"s8","s11":"s5","s12":"s10","s13":"s4"},"b":{"s0":"s4","s1":"s10","s2":"s1","s4":"s10","s5":"s8","s6":"s2","s7":"s1","s8":"s13","s9":"s1","s10":"s0","s11":"s13","s12":"s7","s13":"s11"},"c":{"s0":"s11","s1":"s11","s2":"s5","s4":"s12","s5":"s12","s6":"s13","s7":"s12","s8":"s7","s9":"s6","s10":"s12","s11":"s1","s12":"s4","s13":"s8"},"d":{"s0":"s2","s1":"s11","s2":"s4","s4":"s0","s5":"s13","s6":"s6","s7":"s1","s8":"s7","s9":"s7","s10":"s5","s11":"s4","s12":"s10","s13":"s6"}} | Given the following FSM:
a b c d
s0 s0 s4 s11 s2
s1 s5 s10 s11 s11
s2 s13 s1 s5 s4
s4 s5 s10 s12 s0
s5 s4 s8 s12 s13
s6 s9 s2 s13 s6
s7 s8 s1 s12 s1
s8 s13 s13 s7 s7
s9 s5 s1 s6 s7
s10 s8 s0 s12 s5
s11 s5 s13 s1 s4
s12 s10 s7 s4 s10
s13 s4 s11 s8 s6
If we are in state s6 and the input is b, what state will we be in next? | s2 |
c6c2b61e-85b7-476a-a754-ca6b9d263c3a | 2e025386-ba4e-48a8-9eed-ffd1c32d1c6d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s1", "s9", "s5", "s7", "s6", "s3", "s2", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s7","s1":"s3","s2":"s3","s3":"s5","s4":"s6","s5":"s2","s6":"s5","s7":"s1","s8":"s9","s9":"s7"},"b":{"s0":"s0","s1":"s3","s2":"s8","s3":"s4","s4":"s3","s5":"s8","s6":"s7","s7":"s3","s8":"s6","s9":"s1"},"c":{"s0":"s3","s1":"s7","s2":"s2","s3":"s8","s4":"s0","s5":"s0","s6":"s4","s7":"s8","s8":"s1","s9":"s8"},"d":{"s0":"s8","s1":"s0","s2":"s2","s3":"s6","s4":"s9","s5":"s2","s6":"s3","s7":"s3","s8":"s9","s9":"s6"}} | Given the following FSM:
a b c d
s0 s7 s0 s3 s8
s1 s3 s3 s7 s0
s2 s3 s8 s2 s2
s3 s5 s4 s8 s6
s4 s6 s3 s0 s9
s5 s2 s8 s0 s2
s6 s5 s7 s4 s3
s7 s1 s3 s8 s3
s8 s9 s6 s1 s9
s9 s7 s1 s8 s6
If we are in state s7 and the input is b, what state will we be in next? | s3 |
7df60ff4-caf3-451c-a885-e3b40af8095e | 8aa2e730-3aec-42d2-a958-6b4a62d110dc | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6"], "alphabets": "abcdefghi", "accepting_states": ["s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s5","s1":"s3","s2":"s2","s3":"s5","s4":"s4","s5":"s5","s6":"s4"},"b":{"s0":"s4","s1":"s2","s2":"s0","s3":"s4","s4":"s4","s5":"s1","s6":"s5"},"c":{"s0":"s2","s1":"s4","s2":"s4","s3":"s4","s4":"s3","s5":"s2","s6":"s5"},"d":{"s0":"s6","s1":"s6","s2":"s4","s3":"s5","s4":"s0","s5":"s4","s6":"s1"},"e":{"s0":"s4","s1":"s4","s2":"s6","s3":"s2","s4":"s6","s5":"s3","s6":"s6"},"f":{"s0":"s1","s1":"s5","s2":"s0","s3":"s4","s4":"s2","s5":"s1","s6":"s3"},"g":{"s0":"s6","s1":"s5","s2":"s1","s3":"s1","s4":"s5","s5":"s3","s6":"s2"},"h":{"s0":"s1","s1":"s0","s2":"s5","s3":"s1","s4":"s3","s5":"s0","s6":"s3"},"i":{"s0":"s2","s1":"s3","s2":"s5","s3":"s0","s4":"s2","s5":"s6","s6":"s1"}} | Given the following FSM:
a b c d e f g h i
s0 s5 s4 s2 s6 s4 s1 s6 s1 s2
s1 s3 s2 s4 s6 s4 s5 s5 s0 s3
s2 s2 s0 s4 s4 s6 s0 s1 s5 s5
s3 s5 s4 s4 s5 s2 s4 s1 s1 s0
s4 s4 s4 s3 s0 s6 s2 s5 s3 s2
s5 s5 s1 s2 s4 s3 s1 s3 s0 s6
s6 s4 s5 s5 s1 s6 s3 s2 s3 s1
If we are in state s4 and the input is a, what state will we be in next? | s4 |
519e4144-8112-4f28-b6a6-877863302aeb | 7bc59f22-103b-41d8-8db0-80a16540dfc3 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s6", "s4", "s8", "s5", "s7", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s5","s1":"s7","s2":"s6","s3":"s2","s4":"s6","s5":"s4","s6":"s7","s7":"s1","s8":"s6","s9":"s5"},"b":{"s0":"s7","s1":"s6","s2":"s3","s3":"s0","s4":"s1","s5":"s6","s6":"s0","s7":"s2","s8":"s9","s9":"s8"},"c":{"s0":"s8","s1":"s5","s2":"s0","s3":"s7","s4":"s7","s5":"s1","s6":"s9","s7":"s1","s8":"s0","s9":"s1"}} | Given the following FSM:
a b c
s0 s5 s7 s8
s1 s7 s6 s5
s2 s6 s3 s0
s3 s2 s0 s7
s4 s6 s1 s7
s5 s4 s6 s1
s6 s7 s0 s9
s7 s1 s2 s1
s8 s6 s9 s0
s9 s5 s8 s1
If we are in state s4 and the input is b, what state will we be in next? | s1 |
9f5294f6-1d1a-421f-b323-1241df34ec17 | b404069a-34f4-48a9-9bc8-829a2536c27c | {"states": ["s0", "s1", "s2", "s5", "s6", "s7", "s8", "s9", "s10", "s11"], "alphabets": "a", "accepting_states": ["s8", "s2", "s5", "s7", "s6", "s1", "s11", "s10"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s9"]}]} | 3 | {"a":{"s0":"s5","s1":"s10","s2":"s1","s5":"s7","s6":"s8","s7":"s11","s8":"s1","s9":"s2","s10":"s6","s11":"s9"}} | Given the following FSM:
a
s0 s5
s1 s10
s2 s1
s5 s7
s6 s8
s7 s11
s8 s1
s9 s2
s10 s6
s11 s9
If we are in state s6 and the input is a, what state will we be in next? | s8 |
8a96a3b7-5ff4-42b0-95ca-8d1e4c0038ab | 0afc20a0-1033-4485-b8a3-a833fc1e8807 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefgh", "accepting_states": ["s2", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s0"]}]} | 4 | {"a":{"s0":"s8","s1":"s0","s2":"s7","s3":"s0","s4":"s1","s5":"s2","s6":"s1","s7":"s4","s8":"s3"},"b":{"s0":"s0","s1":"s4","s2":"s5","s3":"s8","s4":"s0","s5":"s1","s6":"s6","s7":"s2","s8":"s7"},"c":{"s0":"s2","s1":"s2","s2":"s6","s3":"s1","s4":"s2","s5":"s5","s6":"s0","s7":"s2","s8":"s2"},"d":{"s0":"s7","s1":"s6","s2":"s6","s3":"s6","s4":"s5","s5":"s4","s6":"s7","s7":"s8","s8":"s1"},"e":{"s0":"s2","s1":"s0","s2":"s6","s3":"s2","s4":"s7","s5":"s1","s6":"s0","s7":"s0","s8":"s8"},"f":{"s0":"s6","s1":"s2","s2":"s3","s3":"s2","s4":"s1","s5":"s3","s6":"s8","s7":"s1","s8":"s6"},"g":{"s0":"s8","s1":"s8","s2":"s5","s3":"s8","s4":"s0","s5":"s3","s6":"s5","s7":"s0","s8":"s3"},"h":{"s0":"s4","s1":"s6","s2":"s6","s3":"s2","s4":"s6","s5":"s6","s6":"s1","s7":"s5","s8":"s0"}} | Given the following FSM:
a b c d e f g h
s0 s8 s0 s2 s7 s2 s6 s8 s4
s1 s0 s4 s2 s6 s0 s2 s8 s6
s2 s7 s5 s6 s6 s6 s3 s5 s6
s3 s0 s8 s1 s6 s2 s2 s8 s2
s4 s1 s0 s2 s5 s7 s1 s0 s6
s5 s2 s1 s5 s4 s1 s3 s3 s6
s6 s1 s6 s0 s7 s0 s8 s5 s1
s7 s4 s2 s2 s8 s0 s1 s0 s5
s8 s3 s7 s2 s1 s8 s6 s3 s0
If we are in state s6 and the input is d, what state will we be in next? | s7 |
bc84a149-4164-440f-9133-a1af4b01e888 | 86b7b510-3079-4fb2-9712-39122123cdb3 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11"], "alphabets": "abcd", "accepting_states": ["s4", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s10"]}]} | 4 | {"a":{"s0":"s5","s1":"s4","s2":"s0","s3":"s9","s4":"s5","s5":"s9","s6":"s3","s7":"s0","s8":"s5","s9":"s0","s10":"s11","s11":"s6"},"b":{"s0":"s11","s1":"s11","s2":"s7","s3":"s9","s4":"s8","s5":"s1","s6":"s2","s7":"s9","s8":"s5","s9":"s8","s10":"s10","s11":"s9"},"c":{"s0":"s3","s1":"s4","s2":"s0","s3":"s8","s4":"s5","s5":"s1","s6":"s3","s7":"s11","s8":"s3","s9":"s3","s10":"s0","s11":"s5"},"d":{"s0":"s5","s1":"s10","s2":"s6","s3":"s7","s4":"s1","s5":"s11","s6":"s1","s7":"s5","s8":"s6","s9":"s6","s10":"s4","s11":"s10"}} | Given the following FSM:
a b c d
s0 s5 s11 s3 s5
s1 s4 s11 s4 s10
s2 s0 s7 s0 s6
s3 s9 s9 s8 s7
s4 s5 s8 s5 s1
s5 s9 s1 s1 s11
s6 s3 s2 s3 s1
s7 s0 s9 s11 s5
s8 s5 s5 s3 s6
s9 s0 s8 s3 s6
s10 s11 s10 s0 s4
s11 s6 s9 s5 s10
If we are in state s8 and the input is b, what state will we be in next? | s5 |
ac26e7f7-7c7f-4552-b114-59c25d43a8e7 | 58debf36-c322-48f4-b54b-20879c535de0 | {"states": ["s0", "s1", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abc", "accepting_states": ["s3", "s7", "s8", "s6", "s5", "s1", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}]} | 3 | {"a":{"s0":"s3","s1":"s4","s3":"s7","s4":"s5","s5":"s4","s6":"s1","s7":"s6","s8":"s4"},"b":{"s0":"s4","s1":"s4","s3":"s1","s4":"s1","s5":"s3","s6":"s8","s7":"s6","s8":"s8"},"c":{"s0":"s8","s1":"s5","s3":"s7","s4":"s6","s5":"s7","s6":"s3","s7":"s4","s8":"s8"}} | Given the following FSM:
a b c
s0 s3 s4 s8
s1 s4 s4 s5
s3 s7 s1 s7
s4 s5 s1 s6
s5 s4 s3 s7
s6 s1 s8 s3
s7 s6 s6 s4
s8 s4 s8 s8
If we are in state s1 and the input is a, what state will we be in next? | s4 |
b07ea818-c701-4b88-8b79-a0a6840ebe08 | 6167f827-5bd9-40e8-a9b7-93ba7e3f2a10 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7"], "alphabets": "abcde", "accepting_states": ["s1", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s1","s1":"s3","s2":"s7","s3":"s6","s4":"s2","s5":"s2","s6":"s3","s7":"s0"},"b":{"s0":"s5","s1":"s5","s2":"s3","s3":"s5","s4":"s5","s5":"s5","s6":"s0","s7":"s5"},"c":{"s0":"s6","s1":"s7","s2":"s6","s3":"s3","s4":"s1","s5":"s1","s6":"s2","s7":"s5"},"d":{"s0":"s2","s1":"s7","s2":"s4","s3":"s4","s4":"s2","s5":"s3","s6":"s7","s7":"s1"},"e":{"s0":"s4","s1":"s0","s2":"s1","s3":"s4","s4":"s7","s5":"s1","s6":"s6","s7":"s1"}} | Given the following FSM:
a b c d e
s0 s1 s5 s6 s2 s4
s1 s3 s5 s7 s7 s0
s2 s7 s3 s6 s4 s1
s3 s6 s5 s3 s4 s4
s4 s2 s5 s1 s2 s7
s5 s2 s5 s1 s3 s1
s6 s3 s0 s2 s7 s6
s7 s0 s5 s5 s1 s1
If we are in state s6 and the input is b, what state will we be in next? | s0 |
243e9213-0f08-4de5-bc0a-a3343e9dd3a0 | 692b6188-f862-4fa1-93c5-20873ab67b80 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11"], "alphabets": "abcdefg", "accepting_states": ["s9", "s11", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s11"]}]} | 4 | {"a":{"s0":"s7","s1":"s1","s2":"s8","s3":"s2","s4":"s4","s5":"s4","s6":"s8","s7":"s8","s8":"s5","s9":"s1","s10":"s5","s11":"s9"},"b":{"s0":"s3","s1":"s3","s2":"s2","s3":"s10","s4":"s4","s5":"s2","s6":"s2","s7":"s10","s8":"s11","s9":"s11","s10":"s4","s11":"s11"},"c":{"s0":"s2","s1":"s7","s2":"s2","s3":"s9","s4":"s0","s5":"s2","s6":"s2","s7":"s3","s8":"s0","s9":"s7","s10":"s11","s11":"s1"},"d":{"s0":"s7","s1":"s10","s2":"s9","s3":"s4","s4":"s10","s5":"s4","s6":"s6","s7":"s5","s8":"s6","s9":"s9","s10":"s0","s11":"s4"},"e":{"s0":"s10","s1":"s11","s2":"s2","s3":"s2","s4":"s4","s5":"s5","s6":"s0","s7":"s3","s8":"s10","s9":"s9","s10":"s10","s11":"s2"},"f":{"s0":"s8","s1":"s9","s2":"s4","s3":"s4","s4":"s7","s5":"s9","s6":"s1","s7":"s1","s8":"s8","s9":"s9","s10":"s11","s11":"s8"},"g":{"s0":"s6","s1":"s9","s2":"s7","s3":"s8","s4":"s9","s5":"s4","s6":"s0","s7":"s11","s8":"s1","s9":"s6","s10":"s2","s11":"s11"}} | Given the following FSM:
a b c d e f g
s0 s7 s3 s2 s7 s10 s8 s6
s1 s1 s3 s7 s10 s11 s9 s9
s2 s8 s2 s2 s9 s2 s4 s7
s3 s2 s10 s9 s4 s2 s4 s8
s4 s4 s4 s0 s10 s4 s7 s9
s5 s4 s2 s2 s4 s5 s9 s4
s6 s8 s2 s2 s6 s0 s1 s0
s7 s8 s10 s3 s5 s3 s1 s11
s8 s5 s11 s0 s6 s10 s8 s1
s9 s1 s11 s7 s9 s9 s9 s6
s10 s5 s4 s11 s0 s10 s11 s2
s11 s9 s11 s1 s4 s2 s8 s11
If we are in state s3 and the input is d, what state will we be in next? | s4 |
646fd797-2adb-4384-bf23-2b212609b902 | d7ba59f7-59d4-473b-adc1-02f73f66578c | {"states": ["s0", "s1"], "alphabets": "abcdefg", "accepting_states": ["s0", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}]} | 2 | {"a":{"s0":"s0","s1":"s1"},"b":{"s0":"s0","s1":"s0"},"c":{"s0":"s1","s1":"s1"},"d":{"s0":"s1","s1":"s0"},"e":{"s0":"s1","s1":"s0"},"f":{"s0":"s0","s1":"s0"},"g":{"s0":"s1","s1":"s1"}} | Given the following FSM:
a b c d e f g
s0 s0 s0 s1 s1 s1 s0 s1
s1 s1 s0 s1 s0 s0 s0 s1
If we are in state s0 and the input is d, what state will we be in next? | s1 |
5ec29a95-2f4c-4e68-b655-de77a13ff6dd | a7d3430f-ab8b-440b-bbe1-0fcd931c3a11 | {"states": ["s0"], "alphabets": "abcdefgh", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s0"]}]} | 2 | {"a":{"s0":"s0"},"b":{"s0":"s0"},"c":{"s0":"s0"},"d":{"s0":"s0"},"e":{"s0":"s0"},"f":{"s0":"s0"},"g":{"s0":"s0"},"h":{"s0":"s0"}} | Given the following FSM:
a b c d e f g h
s0 s0 s0 s0 s0 s0 s0 s0 s0
If we are in state s0 and the input is b, what state will we be in next? | s0 |
51603e5e-9a2f-4cfb-b50c-b7e6b8f66893 | 8dcff311-49e8-4e4b-89f7-8871ff927df2 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7"], "alphabets": "abcdef", "accepting_states": ["s0", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s2","s1":"s6","s2":"s5","s3":"s4","s4":"s4","s5":"s0","s6":"s3","s7":"s2"},"b":{"s0":"s7","s1":"s1","s2":"s0","s3":"s6","s4":"s4","s5":"s4","s6":"s2","s7":"s4"},"c":{"s0":"s4","s1":"s2","s2":"s3","s3":"s6","s4":"s7","s5":"s0","s6":"s4","s7":"s1"},"d":{"s0":"s2","s1":"s6","s2":"s3","s3":"s1","s4":"s1","s5":"s2","s6":"s2","s7":"s4"},"e":{"s0":"s6","s1":"s0","s2":"s0","s3":"s6","s4":"s4","s5":"s3","s6":"s6","s7":"s2"},"f":{"s0":"s2","s1":"s0","s2":"s7","s3":"s7","s4":"s1","s5":"s4","s6":"s5","s7":"s3"}} | Given the following FSM:
a b c d e f
s0 s2 s7 s4 s2 s6 s2
s1 s6 s1 s2 s6 s0 s0
s2 s5 s0 s3 s3 s0 s7
s3 s4 s6 s6 s1 s6 s7
s4 s4 s4 s7 s1 s4 s1
s5 s0 s4 s0 s2 s3 s4
s6 s3 s2 s4 s2 s6 s5
s7 s2 s4 s1 s4 s2 s3
If we are in state s0 and the input is b, what state will we be in next? | s7 |
5c98df6e-692d-4afc-9944-43624f40ba4d | 06da0547-c063-4f43-8e6e-5c8a2d319bba | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcdef", "accepting_states": ["s5", "s8", "s7", "s3", "s1", "s4", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s2"]}]} | 4 | {"a":{"s0":"s3","s1":"s5","s2":"s1","s3":"s0","s4":"s2","s5":"s8","s6":"s7","s7":"s3","s8":"s4","s9":"s1"},"b":{"s0":"s8","s1":"s8","s2":"s2","s3":"s0","s4":"s1","s5":"s6","s6":"s9","s7":"s7","s8":"s2","s9":"s8"},"c":{"s0":"s3","s1":"s5","s2":"s6","s3":"s5","s4":"s7","s5":"s6","s6":"s5","s7":"s3","s8":"s8","s9":"s4"},"d":{"s0":"s2","s1":"s2","s2":"s6","s3":"s0","s4":"s8","s5":"s9","s6":"s0","s7":"s8","s8":"s8","s9":"s4"},"e":{"s0":"s0","s1":"s4","s2":"s8","s3":"s1","s4":"s7","s5":"s2","s6":"s8","s7":"s2","s8":"s5","s9":"s7"},"f":{"s0":"s9","s1":"s1","s2":"s8","s3":"s5","s4":"s5","s5":"s1","s6":"s0","s7":"s9","s8":"s5","s9":"s2"}} | Given the following FSM:
a b c d e f
s0 s3 s8 s3 s2 s0 s9
s1 s5 s8 s5 s2 s4 s1
s2 s1 s2 s6 s6 s8 s8
s3 s0 s0 s5 s0 s1 s5
s4 s2 s1 s7 s8 s7 s5
s5 s8 s6 s6 s9 s2 s1
s6 s7 s9 s5 s0 s8 s0
s7 s3 s7 s3 s8 s2 s9
s8 s4 s2 s8 s8 s5 s5
s9 s1 s8 s4 s4 s7 s2
If we are in state s9 and the input is f, what state will we be in next? | s2 |
09b1958b-547d-4496-8f63-905fa98be7c7 | 19fea274-d3a9-4fb5-b8e3-b97bf66e8de7 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "ab", "accepting_states": ["s2", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s2","s1":"s2","s2":"s8","s3":"s4","s4":"s0","s5":"s5","s6":"s3","s7":"s3","s8":"s0"},"b":{"s0":"s5","s1":"s7","s2":"s7","s3":"s0","s4":"s1","s5":"s1","s6":"s8","s7":"s6","s8":"s3"}} | Given the following FSM:
a b
s0 s2 s5
s1 s2 s7
s2 s8 s7
s3 s4 s0
s4 s0 s1
s5 s5 s1
s6 s3 s8
s7 s3 s6
s8 s0 s3
If we are in state s4 and the input is b, what state will we be in next? | s1 |
5f43f56c-5157-412b-88dc-f87fb052dd77 | f36000d4-e8e8-4173-ae83-c06707a29bfd | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcdefghi", "accepting_states": ["s7", "s10", "s6", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s4"]}, {"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": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "i", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "i", "toStates": ["s1"]}]} | 5 | {"a":{"s0":"s3","s1":"s1","s2":"s8","s3":"s9","s4":"s7","s5":"s2","s6":"s10","s7":"s5","s8":"s5","s9":"s4","s10":"s7"},"b":{"s0":"s6","s1":"s0","s2":"s1","s3":"s3","s4":"s1","s5":"s3","s6":"s5","s7":"s3","s8":"s2","s9":"s10","s10":"s4"},"c":{"s0":"s8","s1":"s1","s2":"s8","s3":"s10","s4":"s0","s5":"s4","s6":"s8","s7":"s2","s8":"s3","s9":"s1","s10":"s5"},"d":{"s0":"s1","s1":"s4","s2":"s9","s3":"s2","s4":"s10","s5":"s0","s6":"s0","s7":"s7","s8":"s1","s9":"s8","s10":"s10"},"e":{"s0":"s8","s1":"s9","s2":"s5","s3":"s10","s4":"s4","s5":"s9","s6":"s5","s7":"s10","s8":"s1","s9":"s4","s10":"s5"},"f":{"s0":"s3","s1":"s0","s2":"s6","s3":"s10","s4":"s5","s5":"s4","s6":"s1","s7":"s5","s8":"s1","s9":"s5","s10":"s10"},"g":{"s0":"s7","s1":"s3","s2":"s10","s3":"s1","s4":"s7","s5":"s0","s6":"s1","s7":"s1","s8":"s7","s9":"s10","s10":"s5"},"h":{"s0":"s4","s1":"s6","s2":"s2","s3":"s9","s4":"s7","s5":"s6","s6":"s2","s7":"s7","s8":"s0","s9":"s8","s10":"s0"},"i":{"s0":"s1","s1":"s1","s2":"s9","s3":"s2","s4":"s1","s5":"s1","s6":"s7","s7":"s1","s8":"s8","s9":"s9","s10":"s1"}} | Given the following FSM:
a b c d e f g h i
s0 s3 s6 s8 s1 s8 s3 s7 s4 s1
s1 s1 s0 s1 s4 s9 s0 s3 s6 s1
s2 s8 s1 s8 s9 s5 s6 s10 s2 s9
s3 s9 s3 s10 s2 s10 s10 s1 s9 s2
s4 s7 s1 s0 s10 s4 s5 s7 s7 s1
s5 s2 s3 s4 s0 s9 s4 s0 s6 s1
s6 s10 s5 s8 s0 s5 s1 s1 s2 s7
s7 s5 s3 s2 s7 s10 s5 s1 s7 s1
s8 s5 s2 s3 s1 s1 s1 s7 s0 s8
s9 s4 s10 s1 s8 s4 s5 s10 s8 s9
s10 s7 s4 s5 s10 s5 s10 s5 s0 s1
If we are in state s7 and the input is g, what state will we be in next? | s1 |
3190b889-770e-4467-8689-655b50aea78d | b0c68c92-e5f4-4248-9cce-9b1dfec6fc14 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcdefghij", "accepting_states": ["s3", "s2", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "j", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "j", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "j", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "j", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "j", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "j", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "j", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "j", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "j", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "j", "toStates": ["s8"]}]} | 5 | {"a":{"s0":"s9","s1":"s1","s2":"s8","s3":"s7","s4":"s3","s5":"s3","s6":"s6","s7":"s5","s8":"s3","s9":"s3"},"b":{"s0":"s3","s1":"s7","s2":"s3","s3":"s5","s4":"s0","s5":"s3","s6":"s2","s7":"s9","s8":"s1","s9":"s2"},"c":{"s0":"s7","s1":"s6","s2":"s2","s3":"s3","s4":"s2","s5":"s5","s6":"s8","s7":"s1","s8":"s0","s9":"s1"},"d":{"s0":"s4","s1":"s3","s2":"s5","s3":"s8","s4":"s7","s5":"s8","s6":"s6","s7":"s1","s8":"s9","s9":"s8"},"e":{"s0":"s5","s1":"s7","s2":"s6","s3":"s8","s4":"s1","s5":"s0","s6":"s0","s7":"s7","s8":"s2","s9":"s5"},"f":{"s0":"s5","s1":"s6","s2":"s8","s3":"s2","s4":"s2","s5":"s7","s6":"s4","s7":"s6","s8":"s6","s9":"s8"},"g":{"s0":"s0","s1":"s0","s2":"s3","s3":"s5","s4":"s8","s5":"s0","s6":"s9","s7":"s4","s8":"s6","s9":"s8"},"h":{"s0":"s2","s1":"s6","s2":"s6","s3":"s4","s4":"s1","s5":"s7","s6":"s7","s7":"s4","s8":"s2","s9":"s7"},"i":{"s0":"s6","s1":"s1","s2":"s0","s3":"s5","s4":"s6","s5":"s6","s6":"s8","s7":"s9","s8":"s3","s9":"s8"},"j":{"s0":"s3","s1":"s1","s2":"s1","s3":"s4","s4":"s4","s5":"s8","s6":"s1","s7":"s2","s8":"s5","s9":"s8"}} | Given the following FSM:
a b c d e f g h i j
s0 s9 s3 s7 s4 s5 s5 s0 s2 s6 s3
s1 s1 s7 s6 s3 s7 s6 s0 s6 s1 s1
s2 s8 s3 s2 s5 s6 s8 s3 s6 s0 s1
s3 s7 s5 s3 s8 s8 s2 s5 s4 s5 s4
s4 s3 s0 s2 s7 s1 s2 s8 s1 s6 s4
s5 s3 s3 s5 s8 s0 s7 s0 s7 s6 s8
s6 s6 s2 s8 s6 s0 s4 s9 s7 s8 s1
s7 s5 s9 s1 s1 s7 s6 s4 s4 s9 s2
s8 s3 s1 s0 s9 s2 s6 s6 s2 s3 s5
s9 s3 s2 s1 s8 s5 s8 s8 s7 s8 s8
If we are in state s5 and the input is e, what state will we be in next? | s0 |
d167720d-b533-4f21-9ea5-4c7e17f84152 | 38f90a66-575a-461f-8700-94d8d5bd62eb | {"states": ["s0", "s1"], "alphabets": "abcdefghi", "accepting_states": ["s0", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"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": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s1","s1":"s0"},"b":{"s0":"s0","s1":"s0"},"c":{"s0":"s0","s1":"s1"},"d":{"s0":"s0","s1":"s0"},"e":{"s0":"s1","s1":"s0"},"f":{"s0":"s1","s1":"s0"},"g":{"s0":"s0","s1":"s0"},"h":{"s0":"s0","s1":"s0"},"i":{"s0":"s1","s1":"s1"}} | Given the following FSM:
a b c d e f g h i
s0 s1 s0 s0 s0 s1 s1 s0 s0 s1
s1 s0 s0 s1 s0 s0 s0 s0 s0 s1
If we are in state s1 and the input is b, what state will we be in next? | s0 |
48b88456-6302-4e22-843d-9be4e7bad24a | 7213c532-06cb-4eee-81c0-c4092da975ae | {"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 g, what state will we be in next? | s0 |
17494729-32d4-4060-b82e-ce3360bab964 | d6d366b9-e046-46f9-8ffa-8646793b9004 | {"states": ["s0"], "alphabets": "abcdefgh", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s0"]}]} | 2 | {"a":{"s0":"s0"},"b":{"s0":"s0"},"c":{"s0":"s0"},"d":{"s0":"s0"},"e":{"s0":"s0"},"f":{"s0":"s0"},"g":{"s0":"s0"},"h":{"s0":"s0"}} | Given the following FSM:
a b c d e f g h
s0 s0 s0 s0 s0 s0 s0 s0 s0
If we are in state s0 and the input is b, what state will we be in next? | s0 |
197dc523-8f54-4b35-9ca4-9aa4012a9462 | 6799861a-8595-4a6f-bf70-7eb6bc78043a | {"states": ["s0", "s1"], "alphabets": "abcd", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}]} | 2 | {"a":{"s0":"s0","s1":"s0"},"b":{"s0":"s1","s1":"s0"},"c":{"s0":"s1","s1":"s1"},"d":{"s0":"s1","s1":"s0"}} | Given the following FSM:
a b c d
s0 s0 s1 s1 s1
s1 s0 s0 s1 s0
If we are in state s0 and the input is a, what state will we be in next? | s0 |
c4c0a452-962d-4891-ae3c-29ff0b85fe53 | 8124c191-e789-42cc-be17-6cbb5cd8d73c | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12", "s13"], "alphabets": "abcde", "accepting_states": ["s2", "s10", "s11", "s5", "s1", "s12", "s4", "s6", "s0", "s8", "s9", "s13", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s13", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s13", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s13", "symbol": "e", "toStates": ["s13"]}]} | 4 | {"a":{"s0":"s10","s1":"s6","s2":"s4","s3":"s2","s4":"s7","s5":"s6","s6":"s5","s7":"s1","s8":"s2","s9":"s12","s10":"s0","s11":"s5","s12":"s5","s13":"s8"},"b":{"s0":"s3","s1":"s13","s2":"s7","s3":"s9","s4":"s6","s5":"s13","s6":"s7","s7":"s7","s8":"s12","s9":"s6","s10":"s8","s11":"s2","s12":"s6","s13":"s8"},"c":{"s0":"s3","s1":"s1","s2":"s1","s3":"s12","s4":"s4","s5":"s5","s6":"s0","s7":"s12","s8":"s4","s9":"s3","s10":"s3","s11":"s11","s12":"s4","s13":"s10"},"d":{"s0":"s1","s1":"s8","s2":"s8","s3":"s6","s4":"s11","s5":"s4","s6":"s6","s7":"s2","s8":"s10","s9":"s4","s10":"s7","s11":"s8","s12":"s5","s13":"s8"},"e":{"s0":"s10","s1":"s12","s2":"s1","s3":"s9","s4":"s4","s5":"s4","s6":"s7","s7":"s10","s8":"s2","s9":"s3","s10":"s4","s11":"s5","s12":"s3","s13":"s13"}} | Given the following FSM:
a b c d e
s0 s10 s3 s3 s1 s10
s1 s6 s13 s1 s8 s12
s2 s4 s7 s1 s8 s1
s3 s2 s9 s12 s6 s9
s4 s7 s6 s4 s11 s4
s5 s6 s13 s5 s4 s4
s6 s5 s7 s0 s6 s7
s7 s1 s7 s12 s2 s10
s8 s2 s12 s4 s10 s2
s9 s12 s6 s3 s4 s3
s10 s0 s8 s3 s7 s4
s11 s5 s2 s11 s8 s5
s12 s5 s6 s4 s5 s3
s13 s8 s8 s10 s8 s13
If we are in state s7 and the input is d, what state will we be in next? | s2 |
e5cf6032-ef9e-469c-9b56-14c8391460f8 | 815a3ce6-2d03-4551-943a-780eb63de58a | {"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 |
40a365df-126c-4032-9a9e-3228617b3bfb | d69338e4-0ab0-4a1a-8a59-24ad7f23f36e | {"states": ["s0", "s1", "s2", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcde", "accepting_states": ["s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s0"]}]} | 3 | {"a":{"s0":"s1","s1":"s0","s2":"s6","s4":"s4","s5":"s6","s6":"s6","s7":"s4","s8":"s6"},"b":{"s0":"s4","s1":"s8","s2":"s5","s4":"s0","s5":"s5","s6":"s7","s7":"s1","s8":"s7"},"c":{"s0":"s8","s1":"s6","s2":"s6","s4":"s6","s5":"s5","s6":"s6","s7":"s2","s8":"s8"},"d":{"s0":"s6","s1":"s0","s2":"s8","s4":"s1","s5":"s7","s6":"s7","s7":"s4","s8":"s7"},"e":{"s0":"s2","s1":"s7","s2":"s0","s4":"s7","s5":"s5","s6":"s7","s7":"s8","s8":"s0"}} | Given the following FSM:
a b c d e
s0 s1 s4 s8 s6 s2
s1 s0 s8 s6 s0 s7
s2 s6 s5 s6 s8 s0
s4 s4 s0 s6 s1 s7
s5 s6 s5 s5 s7 s5
s6 s6 s7 s6 s7 s7
s7 s4 s1 s2 s4 s8
s8 s6 s7 s8 s7 s0
If we are in state s1 and the input is e, what state will we be in next? | s7 |
4fa80de6-fde6-49f5-8611-b269e140371e | 3a9a69af-44bd-4d30-9757-79979643e701 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcdefghij", "accepting_states": ["s8", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "j", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "j", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "j", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "j", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "j", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "j", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "j", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "j", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "j", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "j", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "j", "toStates": ["s4"]}]} | 5 | {"a":{"s0":"s2","s1":"s3","s2":"s3","s3":"s1","s4":"s2","s5":"s4","s6":"s9","s7":"s8","s8":"s10","s9":"s6","s10":"s10"},"b":{"s0":"s7","s1":"s10","s2":"s10","s3":"s8","s4":"s5","s5":"s9","s6":"s6","s7":"s2","s8":"s2","s9":"s10","s10":"s3"},"c":{"s0":"s9","s1":"s10","s2":"s5","s3":"s8","s4":"s5","s5":"s5","s6":"s6","s7":"s5","s8":"s9","s9":"s9","s10":"s2"},"d":{"s0":"s3","s1":"s10","s2":"s2","s3":"s3","s4":"s3","s5":"s1","s6":"s1","s7":"s9","s8":"s3","s9":"s2","s10":"s6"},"e":{"s0":"s10","s1":"s7","s2":"s4","s3":"s1","s4":"s0","s5":"s2","s6":"s2","s7":"s5","s8":"s4","s9":"s6","s10":"s9"},"f":{"s0":"s9","s1":"s1","s2":"s6","s3":"s5","s4":"s0","s5":"s5","s6":"s0","s7":"s7","s8":"s0","s9":"s5","s10":"s8"},"g":{"s0":"s2","s1":"s6","s2":"s1","s3":"s9","s4":"s7","s5":"s6","s6":"s1","s7":"s6","s8":"s3","s9":"s8","s10":"s4"},"h":{"s0":"s1","s1":"s4","s2":"s9","s3":"s3","s4":"s7","s5":"s5","s6":"s4","s7":"s1","s8":"s0","s9":"s3","s10":"s9"},"i":{"s0":"s5","s1":"s10","s2":"s0","s3":"s2","s4":"s10","s5":"s9","s6":"s3","s7":"s9","s8":"s9","s9":"s4","s10":"s3"},"j":{"s0":"s10","s1":"s0","s2":"s1","s3":"s1","s4":"s9","s5":"s5","s6":"s2","s7":"s8","s8":"s8","s9":"s7","s10":"s4"}} | Given the following FSM:
a b c d e f g h i j
s0 s2 s7 s9 s3 s10 s9 s2 s1 s5 s10
s1 s3 s10 s10 s10 s7 s1 s6 s4 s10 s0
s2 s3 s10 s5 s2 s4 s6 s1 s9 s0 s1
s3 s1 s8 s8 s3 s1 s5 s9 s3 s2 s1
s4 s2 s5 s5 s3 s0 s0 s7 s7 s10 s9
s5 s4 s9 s5 s1 s2 s5 s6 s5 s9 s5
s6 s9 s6 s6 s1 s2 s0 s1 s4 s3 s2
s7 s8 s2 s5 s9 s5 s7 s6 s1 s9 s8
s8 s10 s2 s9 s3 s4 s0 s3 s0 s9 s8
s9 s6 s10 s9 s2 s6 s5 s8 s3 s4 s7
s10 s10 s3 s2 s6 s9 s8 s4 s9 s3 s4
If we are in state s2 and the input is b, what state will we be in next? | s10 |
726f71b9-32c5-4a7a-9646-299d647de818 | 114a51ce-bc5f-4a1b-b4bd-32a8b13e44e6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abcdefghi", "accepting_states": ["s7", "s5", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s12"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "i", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "g", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s12", "symbol": "i", "toStates": ["s6"]}]} | 5 | {"a":{"s0":"s9","s1":"s10","s2":"s9","s3":"s9","s4":"s12","s5":"s9","s6":"s12","s7":"s11","s8":"s5","s9":"s12","s10":"s11","s11":"s10","s12":"s1"},"b":{"s0":"s0","s1":"s4","s2":"s0","s3":"s8","s4":"s1","s5":"s12","s6":"s5","s7":"s4","s8":"s0","s9":"s8","s10":"s1","s11":"s3","s12":"s10"},"c":{"s0":"s10","s1":"s6","s2":"s7","s3":"s4","s4":"s10","s5":"s11","s6":"s2","s7":"s0","s8":"s10","s9":"s1","s10":"s1","s11":"s7","s12":"s6"},"d":{"s0":"s0","s1":"s11","s2":"s5","s3":"s6","s4":"s2","s5":"s4","s6":"s11","s7":"s3","s8":"s6","s9":"s0","s10":"s7","s11":"s5","s12":"s6"},"e":{"s0":"s9","s1":"s9","s2":"s11","s3":"s4","s4":"s3","s5":"s1","s6":"s2","s7":"s3","s8":"s2","s9":"s0","s10":"s3","s11":"s12","s12":"s9"},"f":{"s0":"s1","s1":"s9","s2":"s10","s3":"s6","s4":"s10","s5":"s1","s6":"s6","s7":"s3","s8":"s7","s9":"s7","s10":"s6","s11":"s0","s12":"s5"},"g":{"s0":"s7","s1":"s7","s2":"s0","s3":"s8","s4":"s6","s5":"s1","s6":"s9","s7":"s0","s8":"s6","s9":"s1","s10":"s6","s11":"s2","s12":"s12"},"h":{"s0":"s1","s1":"s12","s2":"s6","s3":"s2","s4":"s4","s5":"s2","s6":"s7","s7":"s9","s8":"s8","s9":"s3","s10":"s1","s11":"s5","s12":"s2"},"i":{"s0":"s0","s1":"s5","s2":"s1","s3":"s11","s4":"s11","s5":"s2","s6":"s12","s7":"s5","s8":"s1","s9":"s5","s10":"s9","s11":"s2","s12":"s6"}} | Given the following FSM:
a b c d e f g h i
s0 s9 s0 s10 s0 s9 s1 s7 s1 s0
s1 s10 s4 s6 s11 s9 s9 s7 s12 s5
s2 s9 s0 s7 s5 s11 s10 s0 s6 s1
s3 s9 s8 s4 s6 s4 s6 s8 s2 s11
s4 s12 s1 s10 s2 s3 s10 s6 s4 s11
s5 s9 s12 s11 s4 s1 s1 s1 s2 s2
s6 s12 s5 s2 s11 s2 s6 s9 s7 s12
s7 s11 s4 s0 s3 s3 s3 s0 s9 s5
s8 s5 s0 s10 s6 s2 s7 s6 s8 s1
s9 s12 s8 s1 s0 s0 s7 s1 s3 s5
s10 s11 s1 s1 s7 s3 s6 s6 s1 s9
s11 s10 s3 s7 s5 s12 s0 s2 s5 s2
s12 s1 s10 s6 s6 s9 s5 s12 s2 s6
If we are in state s3 and the input is c, what state will we be in next? | s4 |
afbf3374-ff54-494d-8d2a-59d3d7e672a5 | 44094340-d21f-4e5c-a7ec-c616335559b8 | {"states": ["s0", "s1", "s2", "s3"], "alphabets": "abcdefghij", "accepting_states": ["s1", "s2", "s0", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "j", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "j", "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": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "j", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "j", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s2","s1":"s2","s2":"s3","s3":"s2"},"b":{"s0":"s3","s1":"s3","s2":"s2","s3":"s3"},"c":{"s0":"s1","s1":"s3","s2":"s0","s3":"s3"},"d":{"s0":"s2","s1":"s2","s2":"s2","s3":"s3"},"e":{"s0":"s0","s1":"s0","s2":"s3","s3":"s0"},"f":{"s0":"s1","s1":"s1","s2":"s2","s3":"s2"},"g":{"s0":"s1","s1":"s0","s2":"s1","s3":"s3"},"h":{"s0":"s3","s1":"s2","s2":"s2","s3":"s3"},"i":{"s0":"s2","s1":"s3","s2":"s2","s3":"s2"},"j":{"s0":"s3","s1":"s1","s2":"s3","s3":"s1"}} | Given the following FSM:
a b c d e f g h i j
s0 s2 s3 s1 s2 s0 s1 s1 s3 s2 s3
s1 s2 s3 s3 s2 s0 s1 s0 s2 s3 s1
s2 s3 s2 s0 s2 s3 s2 s1 s2 s2 s3
s3 s2 s3 s3 s3 s0 s2 s3 s3 s2 s1
If we are in state s1 and the input is g, what state will we be in next? | s0 |
f61483de-8d16-4cbc-ac0d-da03b23eb80b | c6b76c08-77e1-4fe5-8f76-bad426f6a5b1 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5"], "alphabets": "abcde", "accepting_states": ["s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s2","s1":"s5","s2":"s0","s3":"s0","s4":"s2","s5":"s4"},"b":{"s0":"s0","s1":"s0","s2":"s2","s3":"s5","s4":"s2","s5":"s3"},"c":{"s0":"s5","s1":"s4","s2":"s0","s3":"s2","s4":"s1","s5":"s5"},"d":{"s0":"s5","s1":"s4","s2":"s5","s3":"s1","s4":"s0","s5":"s4"},"e":{"s0":"s0","s1":"s3","s2":"s1","s3":"s1","s4":"s1","s5":"s3"}} | Given the following FSM:
a b c d e
s0 s2 s0 s5 s5 s0
s1 s5 s0 s4 s4 s3
s2 s0 s2 s0 s5 s1
s3 s0 s5 s2 s1 s1
s4 s2 s2 s1 s0 s1
s5 s4 s3 s5 s4 s3
If we are in state s3 and the input is b, what state will we be in next? | s5 |
30a7fa5e-e2bf-483b-823d-cc2c62cf2abc | 723cf2fe-8950-4045-99c4-a990abbc9438 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12", "s13"], "alphabets": "abcdef", "accepting_states": ["s11", "s7", "s12", "s10", "s4", "s9", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s13"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s13"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s13", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s13", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s13", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s13", "symbol": "f", "toStates": ["s10"]}]} | 5 | {"a":{"s0":"s2","s1":"s5","s2":"s8","s3":"s7","s4":"s4","s5":"s12","s6":"s9","s7":"s2","s8":"s0","s9":"s11","s10":"s8","s11":"s10","s12":"s5","s13":"s0"},"b":{"s0":"s4","s1":"s11","s2":"s13","s3":"s9","s4":"s11","s5":"s12","s6":"s10","s7":"s12","s8":"s5","s9":"s12","s10":"s7","s11":"s12","s12":"s6","s13":"s11"},"c":{"s0":"s12","s1":"s6","s2":"s10","s3":"s1","s4":"s10","s5":"s2","s6":"s11","s7":"s5","s8":"s11","s9":"s6","s10":"s13","s11":"s12","s12":"s6","s13":"s8"},"d":{"s0":"s2","s1":"s12","s2":"s1","s3":"s3","s4":"s12","s5":"s13","s6":"s7","s7":"s10","s8":"s11","s9":"s13","s10":"s8","s11":"s9","s12":"s10","s13":"s5"},"e":{"s0":"s13","s1":"s0","s2":"s7","s3":"s10","s4":"s8","s5":"s12","s6":"s0","s7":"s8","s8":"s10","s9":"s10","s10":"s6","s11":"s11","s12":"s7","s13":"s2"},"f":{"s0":"s3","s1":"s10","s2":"s1","s3":"s4","s4":"s11","s5":"s10","s6":"s2","s7":"s10","s8":"s5","s9":"s7","s10":"s8","s11":"s6","s12":"s11","s13":"s10"}} | Given the following FSM:
a b c d e f
s0 s2 s4 s12 s2 s13 s3
s1 s5 s11 s6 s12 s0 s10
s2 s8 s13 s10 s1 s7 s1
s3 s7 s9 s1 s3 s10 s4
s4 s4 s11 s10 s12 s8 s11
s5 s12 s12 s2 s13 s12 s10
s6 s9 s10 s11 s7 s0 s2
s7 s2 s12 s5 s10 s8 s10
s8 s0 s5 s11 s11 s10 s5
s9 s11 s12 s6 s13 s10 s7
s10 s8 s7 s13 s8 s6 s8
s11 s10 s12 s12 s9 s11 s6
s12 s5 s6 s6 s10 s7 s11
s13 s0 s11 s8 s5 s2 s10
If we are in state s4 and the input is d, what state will we be in next? | s12 |
2b2bc45f-13b1-46cd-b06c-8e197fd14bcf | 8e199ad5-4ec4-498e-b892-ddb444b27dc8 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5"], "alphabets": "abcdefghij", "accepting_states": ["s5", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "j", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "j", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "j", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "j", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "j", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "j", "toStates": ["s2"]}]} | 4 | {"a":{"s0":"s5","s1":"s5","s2":"s3","s3":"s1","s4":"s1","s5":"s4"},"b":{"s0":"s0","s1":"s3","s2":"s1","s3":"s3","s4":"s2","s5":"s2"},"c":{"s0":"s0","s1":"s0","s2":"s5","s3":"s4","s4":"s3","s5":"s2"},"d":{"s0":"s4","s1":"s5","s2":"s0","s3":"s5","s4":"s2","s5":"s3"},"e":{"s0":"s0","s1":"s0","s2":"s3","s3":"s0","s4":"s2","s5":"s2"},"f":{"s0":"s0","s1":"s4","s2":"s4","s3":"s2","s4":"s2","s5":"s4"},"g":{"s0":"s4","s1":"s0","s2":"s4","s3":"s1","s4":"s2","s5":"s1"},"h":{"s0":"s5","s1":"s3","s2":"s5","s3":"s0","s4":"s4","s5":"s5"},"i":{"s0":"s0","s1":"s0","s2":"s4","s3":"s5","s4":"s1","s5":"s0"},"j":{"s0":"s4","s1":"s0","s2":"s0","s3":"s0","s4":"s4","s5":"s2"}} | Given the following FSM:
a b c d e f g h i j
s0 s5 s0 s0 s4 s0 s0 s4 s5 s0 s4
s1 s5 s3 s0 s5 s0 s4 s0 s3 s0 s0
s2 s3 s1 s5 s0 s3 s4 s4 s5 s4 s0
s3 s1 s3 s4 s5 s0 s2 s1 s0 s5 s0
s4 s1 s2 s3 s2 s2 s2 s2 s4 s1 s4
s5 s4 s2 s2 s3 s2 s4 s1 s5 s0 s2
If we are in state s3 and the input is h, what state will we be in next? | s0 |
a1b2f94d-dded-4652-80d7-5436e238dadf | 0b733bf9-0982-4269-b483-1c1c95375fcf | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abcdefgh", "accepting_states": ["s7", "s12", "s0", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s12"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s11"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "h", "toStates": ["s7"]}]} | 5 | {"a":{"s0":"s9","s1":"s4","s2":"s2","s3":"s10","s4":"s3","s5":"s3","s6":"s7","s7":"s12","s8":"s11","s9":"s12","s10":"s4","s11":"s7","s12":"s8"},"b":{"s0":"s1","s1":"s0","s2":"s11","s3":"s3","s4":"s11","s5":"s1","s6":"s11","s7":"s4","s8":"s9","s9":"s9","s10":"s0","s11":"s2","s12":"s9"},"c":{"s0":"s8","s1":"s5","s2":"s4","s3":"s10","s4":"s1","s5":"s11","s6":"s3","s7":"s8","s8":"s12","s9":"s8","s10":"s5","s11":"s7","s12":"s6"},"d":{"s0":"s6","s1":"s7","s2":"s5","s3":"s11","s4":"s5","s5":"s11","s6":"s3","s7":"s11","s8":"s6","s9":"s10","s10":"s1","s11":"s6","s12":"s10"},"e":{"s0":"s8","s1":"s0","s2":"s12","s3":"s2","s4":"s10","s5":"s1","s6":"s2","s7":"s11","s8":"s5","s9":"s1","s10":"s0","s11":"s6","s12":"s7"},"f":{"s0":"s3","s1":"s7","s2":"s9","s3":"s10","s4":"s12","s5":"s4","s6":"s5","s7":"s5","s8":"s6","s9":"s8","s10":"s7","s11":"s10","s12":"s12"},"g":{"s0":"s6","s1":"s8","s2":"s11","s3":"s3","s4":"s3","s5":"s9","s6":"s1","s7":"s7","s8":"s3","s9":"s8","s10":"s8","s11":"s10","s12":"s5"},"h":{"s0":"s2","s1":"s8","s2":"s7","s3":"s5","s4":"s10","s5":"s4","s6":"s10","s7":"s2","s8":"s10","s9":"s12","s10":"s10","s11":"s11","s12":"s7"}} | Given the following FSM:
a b c d e f g h
s0 s9 s1 s8 s6 s8 s3 s6 s2
s1 s4 s0 s5 s7 s0 s7 s8 s8
s2 s2 s11 s4 s5 s12 s9 s11 s7
s3 s10 s3 s10 s11 s2 s10 s3 s5
s4 s3 s11 s1 s5 s10 s12 s3 s10
s5 s3 s1 s11 s11 s1 s4 s9 s4
s6 s7 s11 s3 s3 s2 s5 s1 s10
s7 s12 s4 s8 s11 s11 s5 s7 s2
s8 s11 s9 s12 s6 s5 s6 s3 s10
s9 s12 s9 s8 s10 s1 s8 s8 s12
s10 s4 s0 s5 s1 s0 s7 s8 s10
s11 s7 s2 s7 s6 s6 s10 s10 s11
s12 s8 s9 s6 s10 s7 s12 s5 s7
If we are in state s11 and the input is e, what state will we be in next? | s6 |
25879632-e685-422f-a14a-e66254c20f22 | e797ca2a-7af1-4876-9030-eec0f4dc1a18 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcdefgh", "accepting_states": ["s8", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"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": ["s8"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s10","s1":"s4","s2":"s9","s3":"s8","s4":"s0","s5":"s4","s6":"s9","s7":"s4","s8":"s3","s9":"s8","s10":"s2"},"b":{"s0":"s9","s1":"s7","s2":"s8","s3":"s3","s4":"s5","s5":"s5","s6":"s10","s7":"s0","s8":"s3","s9":"s2","s10":"s2"},"c":{"s0":"s0","s1":"s0","s2":"s3","s3":"s1","s4":"s7","s5":"s6","s6":"s0","s7":"s6","s8":"s10","s9":"s1","s10":"s4"},"d":{"s0":"s6","s1":"s1","s2":"s4","s3":"s1","s4":"s10","s5":"s3","s6":"s0","s7":"s10","s8":"s9","s9":"s7","s10":"s10"},"e":{"s0":"s8","s1":"s9","s2":"s1","s3":"s1","s4":"s5","s5":"s2","s6":"s4","s7":"s3","s8":"s2","s9":"s1","s10":"s3"},"f":{"s0":"s7","s1":"s3","s2":"s6","s3":"s8","s4":"s1","s5":"s6","s6":"s2","s7":"s5","s8":"s3","s9":"s10","s10":"s1"},"g":{"s0":"s4","s1":"s3","s2":"s1","s3":"s10","s4":"s8","s5":"s9","s6":"s6","s7":"s8","s8":"s1","s9":"s0","s10":"s6"},"h":{"s0":"s1","s1":"s2","s2":"s1","s3":"s7","s4":"s6","s5":"s9","s6":"s2","s7":"s8","s8":"s1","s9":"s7","s10":"s4"}} | Given the following FSM:
a b c d e f g h
s0 s10 s9 s0 s6 s8 s7 s4 s1
s1 s4 s7 s0 s1 s9 s3 s3 s2
s2 s9 s8 s3 s4 s1 s6 s1 s1
s3 s8 s3 s1 s1 s1 s8 s10 s7
s4 s0 s5 s7 s10 s5 s1 s8 s6
s5 s4 s5 s6 s3 s2 s6 s9 s9
s6 s9 s10 s0 s0 s4 s2 s6 s2
s7 s4 s0 s6 s10 s3 s5 s8 s8
s8 s3 s3 s10 s9 s2 s3 s1 s1
s9 s8 s2 s1 s7 s1 s10 s0 s7
s10 s2 s2 s4 s10 s3 s1 s6 s4
If we are in state s1 and the input is e, what state will we be in next? | s9 |
cb40c4fb-b225-47ca-8a12-46957f58ff37 | d06a4fbd-76d2-491a-b897-c5136bb761fc | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12", "s13", "s14"], "alphabets": "abcdefghi", "accepting_states": ["s4", "s0", "s2", "s7", "s9", "s1", "s14", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s12"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s14"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s13"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s14"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s12"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s14"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s13"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s14"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s14"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s14"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s14"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s13"]}, {"fromState": "s9", "symbol": "i", "toStates": ["s12"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s14"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s14"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "g", "toStates": ["s13"]}, {"fromState": "s12", "symbol": "h", "toStates": ["s14"]}, {"fromState": "s12", "symbol": "i", "toStates": ["s10"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s13", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s13", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s13", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s13", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s13", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s13", "symbol": "h", "toStates": ["s12"]}, {"fromState": "s13", "symbol": "i", "toStates": ["s14"]}, {"fromState": "s14", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s14", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s14", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s14", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s14", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s14", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s14", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s14", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s14", "symbol": "i", "toStates": ["s5"]}]} | 5 | {"a":{"s0":"s4","s1":"s13","s2":"s7","s3":"s8","s4":"s5","s5":"s13","s6":"s3","s7":"s3","s8":"s1","s9":"s9","s10":"s12","s11":"s12","s12":"s9","s13":"s13","s14":"s13"},"b":{"s0":"s13","s1":"s6","s2":"s12","s3":"s13","s4":"s9","s5":"s9","s6":"s3","s7":"s5","s8":"s5","s9":"s11","s10":"s3","s11":"s1","s12":"s10","s13":"s7","s14":"s1"},"c":{"s0":"s8","s1":"s9","s2":"s2","s3":"s8","s4":"s6","s5":"s4","s6":"s3","s7":"s12","s8":"s0","s9":"s14","s10":"s7","s11":"s14","s12":"s4","s13":"s7","s14":"s0"},"d":{"s0":"s11","s1":"s8","s2":"s5","s3":"s9","s4":"s14","s5":"s9","s6":"s14","s7":"s9","s8":"s9","s9":"s3","s10":"s9","s11":"s12","s12":"s1","s13":"s1","s14":"s2"},"e":{"s0":"s5","s1":"s4","s2":"s4","s3":"s0","s4":"s4","s5":"s3","s6":"s11","s7":"s7","s8":"s8","s9":"s14","s10":"s0","s11":"s10","s12":"s7","s13":"s6","s14":"s6"},"f":{"s0":"s1","s1":"s9","s2":"s5","s3":"s14","s4":"s12","s5":"s3","s6":"s3","s7":"s2","s8":"s2","s9":"s7","s10":"s1","s11":"s14","s12":"s1","s13":"s12","s14":"s10"},"g":{"s0":"s5","s1":"s2","s2":"s7","s3":"s3","s4":"s2","s5":"s14","s6":"s9","s7":"s2","s8":"s11","s9":"s10","s10":"s11","s11":"s8","s12":"s13","s13":"s4","s14":"s4"},"h":{"s0":"s5","s1":"s12","s2":"s12","s3":"s13","s4":"s2","s5":"s13","s6":"s14","s7":"s8","s8":"s6","s9":"s13","s10":"s3","s11":"s6","s12":"s14","s13":"s12","s14":"s6"},"i":{"s0":"s10","s1":"s2","s2":"s1","s3":"s4","s4":"s12","s5":"s5","s6":"s5","s7":"s9","s8":"s6","s9":"s12","s10":"s6","s11":"s4","s12":"s10","s13":"s14","s14":"s5"}} | Given the following FSM:
a b c d e f g h i
s0 s4 s13 s8 s11 s5 s1 s5 s5 s10
s1 s13 s6 s9 s8 s4 s9 s2 s12 s2
s2 s7 s12 s2 s5 s4 s5 s7 s12 s1
s3 s8 s13 s8 s9 s0 s14 s3 s13 s4
s4 s5 s9 s6 s14 s4 s12 s2 s2 s12
s5 s13 s9 s4 s9 s3 s3 s14 s13 s5
s6 s3 s3 s3 s14 s11 s3 s9 s14 s5
s7 s3 s5 s12 s9 s7 s2 s2 s8 s9
s8 s1 s5 s0 s9 s8 s2 s11 s6 s6
s9 s9 s11 s14 s3 s14 s7 s10 s13 s12
s10 s12 s3 s7 s9 s0 s1 s11 s3 s6
s11 s12 s1 s14 s12 s10 s14 s8 s6 s4
s12 s9 s10 s4 s1 s7 s1 s13 s14 s10
s13 s13 s7 s7 s1 s6 s12 s4 s12 s14
s14 s13 s1 s0 s2 s6 s10 s4 s6 s5
If we are in state s7 and the input is g, what state will we be in next? | s2 |
701aeab1-c94e-4be0-9a9e-1a0f4ed6aad1 | bad22c36-3845-4338-a73c-d159e87cd116 | {"states": ["s0", "s1", "s2", "s3"], "alphabets": "abcde", "accepting_states": ["s0", "s3", "s2", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}]} | 2 | {"a":{"s0":"s3","s1":"s1","s2":"s3","s3":"s2"},"b":{"s0":"s3","s1":"s1","s2":"s2","s3":"s0"},"c":{"s0":"s2","s1":"s3","s2":"s1","s3":"s0"},"d":{"s0":"s1","s1":"s0","s2":"s0","s3":"s2"},"e":{"s0":"s1","s1":"s3","s2":"s1","s3":"s0"}} | Given the following FSM:
a b c d e
s0 s3 s3 s2 s1 s1
s1 s1 s1 s3 s0 s3
s2 s3 s2 s1 s0 s1
s3 s2 s0 s0 s2 s0
If we are in state s3 and the input is a, what state will we be in next? | s2 |
7a22f93d-0488-4911-9b37-94ea873f4689 | ff403ff2-c856-4f45-9d80-7741b08b12d6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s5", "s3", "s8", "s4", "s0", "s6", "s2", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s4","s1":"s6","s2":"s7","s3":"s1","s4":"s8","s5":"s6","s6":"s6","s7":"s6","s8":"s6"},"b":{"s0":"s1","s1":"s2","s2":"s0","s3":"s5","s4":"s3","s5":"s3","s6":"s0","s7":"s1","s8":"s6"},"c":{"s0":"s2","s1":"s6","s2":"s6","s3":"s7","s4":"s0","s5":"s6","s6":"s5","s7":"s3","s8":"s6"},"d":{"s0":"s6","s1":"s7","s2":"s0","s3":"s2","s4":"s1","s5":"s8","s6":"s5","s7":"s2","s8":"s3"},"e":{"s0":"s6","s1":"s7","s2":"s8","s3":"s6","s4":"s3","s5":"s3","s6":"s7","s7":"s1","s8":"s5"},"f":{"s0":"s2","s1":"s1","s2":"s4","s3":"s5","s4":"s0","s5":"s0","s6":"s6","s7":"s8","s8":"s7"},"g":{"s0":"s7","s1":"s4","s2":"s1","s3":"s0","s4":"s2","s5":"s6","s6":"s7","s7":"s4","s8":"s1"}} | Given the following FSM:
a b c d e f g
s0 s4 s1 s2 s6 s6 s2 s7
s1 s6 s2 s6 s7 s7 s1 s4
s2 s7 s0 s6 s0 s8 s4 s1
s3 s1 s5 s7 s2 s6 s5 s0
s4 s8 s3 s0 s1 s3 s0 s2
s5 s6 s3 s6 s8 s3 s0 s6
s6 s6 s0 s5 s5 s7 s6 s7
s7 s6 s1 s3 s2 s1 s8 s4
s8 s6 s6 s6 s3 s5 s7 s1
If we are in state s5 and the input is a, what state will we be in next? | s6 |
c214e8f9-a1ad-4a6c-8d8c-5713d3c2771c | 01f0b7a4-40a2-4680-b155-503f1a1bea35 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11"], "alphabets": "abcde", "accepting_states": ["s0", "s11", "s4", "s3", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s2","s1":"s5","s2":"s11","s3":"s0","s4":"s0","s5":"s8","s6":"s4","s7":"s11","s8":"s5","s9":"s4","s10":"s1","s11":"s4"},"b":{"s0":"s4","s1":"s2","s2":"s9","s3":"s0","s4":"s0","s5":"s1","s6":"s5","s7":"s1","s8":"s6","s9":"s8","s10":"s11","s11":"s0"},"c":{"s0":"s10","s1":"s4","s2":"s3","s3":"s5","s4":"s10","s5":"s2","s6":"s2","s7":"s10","s8":"s10","s9":"s2","s10":"s3","s11":"s6"},"d":{"s0":"s6","s1":"s11","s2":"s7","s3":"s6","s4":"s5","s5":"s10","s6":"s10","s7":"s7","s8":"s9","s9":"s1","s10":"s10","s11":"s10"},"e":{"s0":"s3","s1":"s8","s2":"s6","s3":"s0","s4":"s5","s5":"s5","s6":"s3","s7":"s8","s8":"s11","s9":"s0","s10":"s1","s11":"s3"}} | Given the following FSM:
a b c d e
s0 s2 s4 s10 s6 s3
s1 s5 s2 s4 s11 s8
s2 s11 s9 s3 s7 s6
s3 s0 s0 s5 s6 s0
s4 s0 s0 s10 s5 s5
s5 s8 s1 s2 s10 s5
s6 s4 s5 s2 s10 s3
s7 s11 s1 s10 s7 s8
s8 s5 s6 s10 s9 s11
s9 s4 s8 s2 s1 s0
s10 s1 s11 s3 s10 s1
s11 s4 s0 s6 s10 s3
If we are in state s3 and the input is c, what state will we be in next? | s5 |
739a90bc-35ae-4ae4-8c80-e7d5fa2c74c1 | 75d1f040-1f1f-496c-bd62-909effd443fd | {"states": ["s0", "s1", "s2", "s3", "s4"], "alphabets": "abcde", "accepting_states": ["s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "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": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}]} | 3 | {"a":{"s0":"s0","s1":"s1","s2":"s3","s3":"s4","s4":"s2"},"b":{"s0":"s0","s1":"s0","s2":"s4","s3":"s0","s4":"s4"},"c":{"s0":"s3","s1":"s0","s2":"s0","s3":"s0","s4":"s1"},"d":{"s0":"s4","s1":"s0","s2":"s2","s3":"s3","s4":"s3"},"e":{"s0":"s0","s1":"s2","s2":"s0","s3":"s3","s4":"s0"}} | Given the following FSM:
a b c d e
s0 s0 s0 s3 s4 s0
s1 s1 s0 s0 s0 s2
s2 s3 s4 s0 s2 s0
s3 s4 s0 s0 s3 s3
s4 s2 s4 s1 s3 s0
If we are in state s4 and the input is c, what state will we be in next? | s1 |
d388608e-db62-4126-80bf-2e53fb674937 | c8337ac6-2f96-4c10-9609-00e223e7a865 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcdefghij", "accepting_states": ["s8", "s4", "s2", "s3", "s10"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "j", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "j", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "j", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "j", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "j", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "j", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "j", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "j", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "j", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "j", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "j", "toStates": ["s5"]}]} | 5 | {"a":{"s0":"s7","s1":"s5","s2":"s1","s3":"s6","s4":"s4","s5":"s9","s6":"s3","s7":"s5","s8":"s4","s9":"s3","s10":"s4"},"b":{"s0":"s1","s1":"s7","s2":"s1","s3":"s0","s4":"s9","s5":"s1","s6":"s7","s7":"s9","s8":"s5","s9":"s9","s10":"s5"},"c":{"s0":"s5","s1":"s1","s2":"s3","s3":"s6","s4":"s10","s5":"s1","s6":"s10","s7":"s7","s8":"s4","s9":"s9","s10":"s4"},"d":{"s0":"s0","s1":"s10","s2":"s8","s3":"s8","s4":"s9","s5":"s9","s6":"s3","s7":"s4","s8":"s10","s9":"s9","s10":"s3"},"e":{"s0":"s3","s1":"s7","s2":"s0","s3":"s6","s4":"s3","s5":"s6","s6":"s9","s7":"s7","s8":"s1","s9":"s8","s10":"s2"},"f":{"s0":"s0","s1":"s6","s2":"s6","s3":"s5","s4":"s6","s5":"s5","s6":"s9","s7":"s5","s8":"s9","s9":"s2","s10":"s6"},"g":{"s0":"s7","s1":"s7","s2":"s10","s3":"s7","s4":"s8","s5":"s3","s6":"s3","s7":"s1","s8":"s10","s9":"s7","s10":"s3"},"h":{"s0":"s3","s1":"s1","s2":"s4","s3":"s0","s4":"s1","s5":"s2","s6":"s9","s7":"s2","s8":"s5","s9":"s3","s10":"s5"},"i":{"s0":"s5","s1":"s4","s2":"s5","s3":"s1","s4":"s10","s5":"s5","s6":"s7","s7":"s10","s8":"s7","s9":"s3","s10":"s0"},"j":{"s0":"s2","s1":"s9","s2":"s1","s3":"s8","s4":"s10","s5":"s8","s6":"s6","s7":"s0","s8":"s10","s9":"s7","s10":"s5"}} | Given the following FSM:
a b c d e f g h i j
s0 s7 s1 s5 s0 s3 s0 s7 s3 s5 s2
s1 s5 s7 s1 s10 s7 s6 s7 s1 s4 s9
s2 s1 s1 s3 s8 s0 s6 s10 s4 s5 s1
s3 s6 s0 s6 s8 s6 s5 s7 s0 s1 s8
s4 s4 s9 s10 s9 s3 s6 s8 s1 s10 s10
s5 s9 s1 s1 s9 s6 s5 s3 s2 s5 s8
s6 s3 s7 s10 s3 s9 s9 s3 s9 s7 s6
s7 s5 s9 s7 s4 s7 s5 s1 s2 s10 s0
s8 s4 s5 s4 s10 s1 s9 s10 s5 s7 s10
s9 s3 s9 s9 s9 s8 s2 s7 s3 s3 s7
s10 s4 s5 s4 s3 s2 s6 s3 s5 s0 s5
If we are in state s9 and the input is a, what state will we be in next? | s3 |
f390f22c-ed06-4f1a-8ada-e574554e96b2 | cdb48591-4d58-450b-8863-f874c380c358 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6"], "alphabets": "abcdefgh", "accepting_states": ["s6", "s0"], "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": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s2","s1":"s3","s2":"s5","s3":"s5","s4":"s4","s5":"s2","s6":"s1"},"b":{"s0":"s4","s1":"s1","s2":"s4","s3":"s2","s4":"s5","s5":"s2","s6":"s4"},"c":{"s0":"s5","s1":"s5","s2":"s6","s3":"s0","s4":"s5","s5":"s1","s6":"s6"},"d":{"s0":"s2","s1":"s6","s2":"s1","s3":"s2","s4":"s0","s5":"s2","s6":"s3"},"e":{"s0":"s4","s1":"s0","s2":"s3","s3":"s1","s4":"s2","s5":"s0","s6":"s3"},"f":{"s0":"s0","s1":"s6","s2":"s4","s3":"s3","s4":"s3","s5":"s0","s6":"s2"},"g":{"s0":"s3","s1":"s6","s2":"s0","s3":"s4","s4":"s1","s5":"s3","s6":"s1"},"h":{"s0":"s4","s1":"s1","s2":"s4","s3":"s0","s4":"s6","s5":"s2","s6":"s4"}} | Given the following FSM:
a b c d e f g h
s0 s2 s4 s5 s2 s4 s0 s3 s4
s1 s3 s1 s5 s6 s0 s6 s6 s1
s2 s5 s4 s6 s1 s3 s4 s0 s4
s3 s5 s2 s0 s2 s1 s3 s4 s0
s4 s4 s5 s5 s0 s2 s3 s1 s6
s5 s2 s2 s1 s2 s0 s0 s3 s2
s6 s1 s4 s6 s3 s3 s2 s1 s4
If we are in state s0 and the input is f, what state will we be in next? | s0 |
aebe62f3-9f07-4dfc-8179-4b78259df06d | 1654b547-3586-4185-8dd7-a60781f4cb4a | {"states": ["s0", "s1", "s2", "s3", "s4", "s5"], "alphabets": "abcdefghi", "accepting_states": ["s2", "s3", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s0","s1":"s5","s2":"s0","s3":"s3","s4":"s4","s5":"s5"},"b":{"s0":"s1","s1":"s3","s2":"s4","s3":"s0","s4":"s1","s5":"s3"},"c":{"s0":"s1","s1":"s4","s2":"s4","s3":"s1","s4":"s1","s5":"s3"},"d":{"s0":"s0","s1":"s5","s2":"s3","s3":"s1","s4":"s4","s5":"s2"},"e":{"s0":"s0","s1":"s0","s2":"s0","s3":"s4","s4":"s4","s5":"s5"},"f":{"s0":"s2","s1":"s4","s2":"s2","s3":"s4","s4":"s5","s5":"s3"},"g":{"s0":"s0","s1":"s1","s2":"s1","s3":"s1","s4":"s2","s5":"s0"},"h":{"s0":"s2","s1":"s1","s2":"s5","s3":"s0","s4":"s1","s5":"s1"},"i":{"s0":"s2","s1":"s4","s2":"s2","s3":"s3","s4":"s5","s5":"s3"}} | Given the following FSM:
a b c d e f g h i
s0 s0 s1 s1 s0 s0 s2 s0 s2 s2
s1 s5 s3 s4 s5 s0 s4 s1 s1 s4
s2 s0 s4 s4 s3 s0 s2 s1 s5 s2
s3 s3 s0 s1 s1 s4 s4 s1 s0 s3
s4 s4 s1 s1 s4 s4 s5 s2 s1 s5
s5 s5 s3 s3 s2 s5 s3 s0 s1 s3
If we are in state s3 and the input is c, what state will we be in next? | s1 |
30ecc99a-fe41-4901-84c8-28bc3ecd8329 | d0ec643e-6790-4b47-b428-9fb97e9ee42a | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s12"], "alphabets": "abc", "accepting_states": ["s4", "s3", "s9", "s6", "s12", "s1", "s10", "s0", "s7", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s12"]}]} | 4 | {"a":{"s0":"s7","s1":"s2","s2":"s7","s3":"s3","s4":"s0","s5":"s0","s6":"s9","s7":"s0","s8":"s4","s9":"s3","s10":"s3","s12":"s8"},"b":{"s0":"s6","s1":"s10","s2":"s6","s3":"s1","s4":"s5","s5":"s12","s6":"s0","s7":"s0","s8":"s1","s9":"s1","s10":"s9","s12":"s12"},"c":{"s0":"s10","s1":"s5","s2":"s1","s3":"s1","s4":"s5","s5":"s12","s6":"s5","s7":"s5","s8":"s6","s9":"s6","s10":"s2","s12":"s12"}} | Given the following FSM:
a b c
s0 s7 s6 s10
s1 s2 s10 s5
s2 s7 s6 s1
s3 s3 s1 s1
s4 s0 s5 s5
s5 s0 s12 s12
s6 s9 s0 s5
s7 s0 s0 s5
s8 s4 s1 s6
s9 s3 s1 s6
s10 s3 s9 s2
s12 s8 s12 s12
If we are in state s5 and the input is c, what state will we be in next? | s12 |
2be614e6-24bb-4b77-aa5f-80791dbf7a5d | 183c2b76-8c70-4c66-843d-57df04f3013f | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12", "s13", "s14"], "alphabets": "abcdefghij", "accepting_states": ["s12", "s0", "s13"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s14"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s13"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s13"]}, {"fromState": "s0", "symbol": "j", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s14"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "j", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s14"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s13"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "j", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "j", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s13"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "j", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s14"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s12"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "j", "toStates": ["s12"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s13"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s13"]}, {"fromState": "s6", "symbol": "j", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s14"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "j", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s13"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "j", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s14"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s13"]}, {"fromState": "s9", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "j", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s14"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "i", "toStates": ["s14"]}, {"fromState": "s10", "symbol": "j", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s13"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s12"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "i", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "j", "toStates": ["s11"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s12", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "j", "toStates": ["s8"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s13", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s13", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s13", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s13", "symbol": "f", "toStates": ["s14"]}, {"fromState": "s13", "symbol": "g", "toStates": ["s11"]}, {"fromState": "s13", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s13", "symbol": "i", "toStates": ["s14"]}, {"fromState": "s13", "symbol": "j", "toStates": ["s13"]}, {"fromState": "s14", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s14", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s14", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s14", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s14", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s14", "symbol": "f", "toStates": ["s14"]}, {"fromState": "s14", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s14", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s14", "symbol": "i", "toStates": ["s11"]}, {"fromState": "s14", "symbol": "j", "toStates": ["s1"]}]} | 5 | {"a":{"s0":"s4","s1":"s14","s2":"s12","s3":"s9","s4":"s13","s5":"s10","s6":"s13","s7":"s8","s8":"s6","s9":"s10","s10":"s8","s11":"s4","s12":"s9","s13":"s2","s14":"s2"},"b":{"s0":"s13","s1":"s5","s2":"s7","s3":"s6","s4":"s8","s5":"s14","s6":"s7","s7":"s0","s8":"s10","s9":"s14","s10":"s13","s11":"s4","s12":"s2","s13":"s8","s14":"s8"},"c":{"s0":"s7","s1":"s12","s2":"s9","s3":"s7","s4":"s8","s5":"s11","s6":"s8","s7":"s4","s8":"s4","s9":"s1","s10":"s8","s11":"s0","s12":"s4","s13":"s1","s14":"s5"},"d":{"s0":"s1","s1":"s9","s2":"s3","s3":"s0","s4":"s12","s5":"s10","s6":"s4","s7":"s1","s8":"s0","s9":"s10","s10":"s3","s11":"s10","s12":"s13","s13":"s10","s14":"s9"},"e":{"s0":"s14","s1":"s3","s2":"s8","s3":"s2","s4":"s12","s5":"s7","s6":"s5","s7":"s10","s8":"s2","s9":"s4","s10":"s1","s11":"s13","s12":"s6","s13":"s6","s14":"s4"},"f":{"s0":"s12","s1":"s0","s2":"s7","s3":"s4","s4":"s13","s5":"s11","s6":"s6","s7":"s0","s8":"s8","s9":"s11","s10":"s14","s11":"s8","s12":"s7","s13":"s14","s14":"s14"},"g":{"s0":"s13","s1":"s9","s2":"s14","s3":"s2","s4":"s4","s5":"s12","s6":"s7","s7":"s14","s8":"s13","s9":"s5","s10":"s7","s11":"s12","s12":"s10","s13":"s11","s14":"s1"},"h":{"s0":"s6","s1":"s3","s2":"s13","s3":"s5","s4":"s11","s5":"s9","s6":"s13","s7":"s12","s8":"s6","s9":"s13","s10":"s0","s11":"s5","s12":"s10","s13":"s8","s14":"s7"},"i":{"s0":"s13","s1":"s8","s2":"s9","s3":"s5","s4":"s8","s5":"s2","s6":"s13","s7":"s9","s8":"s10","s9":"s8","s10":"s14","s11":"s9","s12":"s4","s13":"s14","s14":"s11"},"j":{"s0":"s2","s1":"s8","s2":"s10","s3":"s4","s4":"s0","s5":"s12","s6":"s10","s7":"s9","s8":"s2","s9":"s3","s10":"s4","s11":"s11","s12":"s8","s13":"s13","s14":"s1"}} | Given the following FSM:
a b c d e f g h i j
s0 s4 s13 s7 s1 s14 s12 s13 s6 s13 s2
s1 s14 s5 s12 s9 s3 s0 s9 s3 s8 s8
s2 s12 s7 s9 s3 s8 s7 s14 s13 s9 s10
s3 s9 s6 s7 s0 s2 s4 s2 s5 s5 s4
s4 s13 s8 s8 s12 s12 s13 s4 s11 s8 s0
s5 s10 s14 s11 s10 s7 s11 s12 s9 s2 s12
s6 s13 s7 s8 s4 s5 s6 s7 s13 s13 s10
s7 s8 s0 s4 s1 s10 s0 s14 s12 s9 s9
s8 s6 s10 s4 s0 s2 s8 s13 s6 s10 s2
s9 s10 s14 s1 s10 s4 s11 s5 s13 s8 s3
s10 s8 s13 s8 s3 s1 s14 s7 s0 s14 s4
s11 s4 s4 s0 s10 s13 s8 s12 s5 s9 s11
s12 s9 s2 s4 s13 s6 s7 s10 s10 s4 s8
s13 s2 s8 s1 s10 s6 s14 s11 s8 s14 s13
s14 s2 s8 s5 s9 s4 s14 s1 s7 s11 s1
If we are in state s12 and the input is h, what state will we be in next? | s10 |
2825f63f-be6a-4e73-b19a-9954afd70910 | 2f03fb90-c31f-4436-bacc-f63717dce5a0 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7"], "alphabets": "abcdefghij", "accepting_states": ["s5", "s4", "s6", "s7", "s1", "s0", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "j", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "j", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "j", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "j", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "j", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "j", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "j", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "j", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s3","s1":"s4","s2":"s7","s3":"s7","s4":"s6","s5":"s5","s6":"s4","s7":"s5"},"b":{"s0":"s1","s1":"s2","s2":"s3","s3":"s7","s4":"s1","s5":"s5","s6":"s7","s7":"s5"},"c":{"s0":"s3","s1":"s7","s2":"s7","s3":"s1","s4":"s6","s5":"s5","s6":"s2","s7":"s3"},"d":{"s0":"s0","s1":"s6","s2":"s2","s3":"s2","s4":"s3","s5":"s6","s6":"s7","s7":"s3"},"e":{"s0":"s7","s1":"s5","s2":"s5","s3":"s7","s4":"s4","s5":"s3","s6":"s6","s7":"s6"},"f":{"s0":"s0","s1":"s1","s2":"s1","s3":"s4","s4":"s4","s5":"s0","s6":"s1","s7":"s4"},"g":{"s0":"s0","s1":"s7","s2":"s5","s3":"s5","s4":"s7","s5":"s1","s6":"s2","s7":"s5"},"h":{"s0":"s7","s1":"s0","s2":"s6","s3":"s5","s4":"s4","s5":"s5","s6":"s2","s7":"s6"},"i":{"s0":"s0","s1":"s3","s2":"s3","s3":"s3","s4":"s0","s5":"s4","s6":"s3","s7":"s3"},"j":{"s0":"s4","s1":"s1","s2":"s4","s3":"s3","s4":"s0","s5":"s4","s6":"s3","s7":"s5"}} | Given the following FSM:
a b c d e f g h i j
s0 s3 s1 s3 s0 s7 s0 s0 s7 s0 s4
s1 s4 s2 s7 s6 s5 s1 s7 s0 s3 s1
s2 s7 s3 s7 s2 s5 s1 s5 s6 s3 s4
s3 s7 s7 s1 s2 s7 s4 s5 s5 s3 s3
s4 s6 s1 s6 s3 s4 s4 s7 s4 s0 s0
s5 s5 s5 s5 s6 s3 s0 s1 s5 s4 s4
s6 s4 s7 s2 s7 s6 s1 s2 s2 s3 s3
s7 s5 s5 s3 s3 s6 s4 s5 s6 s3 s5
If we are in state s1 and the input is a, what state will we be in next? | s4 |
6e073c36-a3f2-4b97-8a70-20b77c896f23 | 37975205-6366-479a-b503-1f7c30d4e142 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcdef", "accepting_states": ["s5", "s6", "s1", "s9", "s4", "s10", "s3", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s1","s1":"s8","s2":"s4","s3":"s6","s4":"s6","s5":"s7","s6":"s2","s7":"s10","s8":"s0","s9":"s3","s10":"s3"},"b":{"s0":"s2","s1":"s2","s2":"s2","s3":"s7","s4":"s6","s5":"s3","s6":"s10","s7":"s8","s8":"s3","s9":"s7","s10":"s4"},"c":{"s0":"s3","s1":"s6","s2":"s10","s3":"s2","s4":"s3","s5":"s1","s6":"s5","s7":"s10","s8":"s1","s9":"s6","s10":"s0"},"d":{"s0":"s2","s1":"s7","s2":"s4","s3":"s6","s4":"s8","s5":"s1","s6":"s8","s7":"s6","s8":"s9","s9":"s8","s10":"s10"},"e":{"s0":"s0","s1":"s8","s2":"s4","s3":"s10","s4":"s1","s5":"s0","s6":"s8","s7":"s5","s8":"s8","s9":"s4","s10":"s10"},"f":{"s0":"s7","s1":"s1","s2":"s1","s3":"s0","s4":"s3","s5":"s5","s6":"s6","s7":"s10","s8":"s9","s9":"s0","s10":"s1"}} | Given the following FSM:
a b c d e f
s0 s1 s2 s3 s2 s0 s7
s1 s8 s2 s6 s7 s8 s1
s2 s4 s2 s10 s4 s4 s1
s3 s6 s7 s2 s6 s10 s0
s4 s6 s6 s3 s8 s1 s3
s5 s7 s3 s1 s1 s0 s5
s6 s2 s10 s5 s8 s8 s6
s7 s10 s8 s10 s6 s5 s10
s8 s0 s3 s1 s9 s8 s9
s9 s3 s7 s6 s8 s4 s0
s10 s3 s4 s0 s10 s10 s1
If we are in state s8 and the input is f, what state will we be in next? | s9 |
7a415b32-cbbd-4b12-9dc9-4d49ce7b16ef | f4a3f4e4-564f-4222-84be-6273395f1cc6 | {"states": ["s0", "s1", "s2", "s3"], "alphabets": "abcdefghi", "accepting_states": ["s3", "s0", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"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": ["s2"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "i", "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": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s2","s1":"s2","s2":"s1","s3":"s3"},"b":{"s0":"s0","s1":"s3","s2":"s2","s3":"s2"},"c":{"s0":"s0","s1":"s2","s2":"s3","s3":"s1"},"d":{"s0":"s1","s1":"s3","s2":"s0","s3":"s2"},"e":{"s0":"s3","s1":"s1","s2":"s1","s3":"s3"},"f":{"s0":"s3","s1":"s0","s2":"s3","s3":"s0"},"g":{"s0":"s0","s1":"s2","s2":"s1","s3":"s1"},"h":{"s0":"s2","s1":"s1","s2":"s0","s3":"s3"},"i":{"s0":"s3","s1":"s0","s2":"s1","s3":"s1"}} | Given the following FSM:
a b c d e f g h i
s0 s2 s0 s0 s1 s3 s3 s0 s2 s3
s1 s2 s3 s2 s3 s1 s0 s2 s1 s0
s2 s1 s2 s3 s0 s1 s3 s1 s0 s1
s3 s3 s2 s1 s2 s3 s0 s1 s3 s1
If we are in state s1 and the input is b, what state will we be in next? | s3 |
3bcff9e4-b818-4033-8729-28fbd24efd9b | 380c85f1-4f8a-4ea5-bb1a-d3ddac4a5505 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcdef", "accepting_states": ["s0"], "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": ["s7"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s10"]}]} | 4 | {"a":{"s0":"s1","s1":"s4","s2":"s8","s3":"s0","s4":"s6","s5":"s0","s6":"s7","s7":"s4","s8":"s10","s9":"s6","s10":"s5"},"b":{"s0":"s6","s1":"s4","s2":"s9","s3":"s4","s4":"s9","s5":"s5","s6":"s7","s7":"s9","s8":"s9","s9":"s9","s10":"s9"},"c":{"s0":"s0","s1":"s6","s2":"s5","s3":"s1","s4":"s2","s5":"s7","s6":"s8","s7":"s9","s8":"s2","s9":"s1","s10":"s1"},"d":{"s0":"s7","s1":"s10","s2":"s5","s3":"s5","s4":"s1","s5":"s7","s6":"s10","s7":"s2","s8":"s1","s9":"s8","s10":"s10"},"e":{"s0":"s4","s1":"s4","s2":"s0","s3":"s7","s4":"s10","s5":"s10","s6":"s3","s7":"s2","s8":"s9","s9":"s0","s10":"s3"},"f":{"s0":"s0","s1":"s1","s2":"s6","s3":"s10","s4":"s8","s5":"s10","s6":"s1","s7":"s7","s8":"s7","s9":"s1","s10":"s10"}} | Given the following FSM:
a b c d e f
s0 s1 s6 s0 s7 s4 s0
s1 s4 s4 s6 s10 s4 s1
s2 s8 s9 s5 s5 s0 s6
s3 s0 s4 s1 s5 s7 s10
s4 s6 s9 s2 s1 s10 s8
s5 s0 s5 s7 s7 s10 s10
s6 s7 s7 s8 s10 s3 s1
s7 s4 s9 s9 s2 s2 s7
s8 s10 s9 s2 s1 s9 s7
s9 s6 s9 s1 s8 s0 s1
s10 s5 s9 s1 s10 s3 s10
If we are in state s10 and the input is a, what state will we be in next? | s5 |
b36e3274-91de-417e-90af-a19bdf948267 | c8a8d561-6d82-4672-a767-5129ff712444 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abcde", "accepting_states": ["s1", "s11", "s5", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s12","s1":"s7","s2":"s10","s3":"s11","s4":"s10","s5":"s8","s6":"s12","s7":"s3","s8":"s9","s9":"s4","s10":"s12","s11":"s7","s12":"s4"},"b":{"s0":"s6","s1":"s0","s2":"s8","s3":"s1","s4":"s9","s5":"s11","s6":"s9","s7":"s11","s8":"s7","s9":"s2","s10":"s0","s11":"s1","s12":"s12"},"c":{"s0":"s5","s1":"s10","s2":"s11","s3":"s4","s4":"s9","s5":"s6","s6":"s6","s7":"s2","s8":"s0","s9":"s6","s10":"s9","s11":"s4","s12":"s3"},"d":{"s0":"s12","s1":"s5","s2":"s8","s3":"s7","s4":"s10","s5":"s6","s6":"s5","s7":"s2","s8":"s5","s9":"s7","s10":"s11","s11":"s5","s12":"s6"},"e":{"s0":"s3","s1":"s12","s2":"s0","s3":"s8","s4":"s4","s5":"s11","s6":"s8","s7":"s12","s8":"s10","s9":"s0","s10":"s6","s11":"s8","s12":"s8"}} | Given the following FSM:
a b c d e
s0 s12 s6 s5 s12 s3
s1 s7 s0 s10 s5 s12
s2 s10 s8 s11 s8 s0
s3 s11 s1 s4 s7 s8
s4 s10 s9 s9 s10 s4
s5 s8 s11 s6 s6 s11
s6 s12 s9 s6 s5 s8
s7 s3 s11 s2 s2 s12
s8 s9 s7 s0 s5 s10
s9 s4 s2 s6 s7 s0
s10 s12 s0 s9 s11 s6
s11 s7 s1 s4 s5 s8
s12 s4 s12 s3 s6 s8
If we are in state s5 and the input is b, what state will we be in next? | s11 |
86ed6493-e327-4668-864a-3164321b3731 | 9356342a-dcc2-421c-8eaa-943cdd39fa1d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s0", "s2", "s6", "s4", "s5", "s7", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s8","s1":"s5","s2":"s6","s3":"s8","s4":"s2","s5":"s4","s6":"s7","s7":"s8","s8":"s2"},"b":{"s0":"s5","s1":"s3","s2":"s3","s3":"s2","s4":"s2","s5":"s5","s6":"s3","s7":"s6","s8":"s0"},"c":{"s0":"s7","s1":"s0","s2":"s1","s3":"s4","s4":"s8","s5":"s8","s6":"s3","s7":"s5","s8":"s7"},"d":{"s0":"s8","s1":"s8","s2":"s5","s3":"s3","s4":"s6","s5":"s6","s6":"s3","s7":"s8","s8":"s5"},"e":{"s0":"s1","s1":"s6","s2":"s8","s3":"s7","s4":"s3","s5":"s6","s6":"s7","s7":"s1","s8":"s7"},"f":{"s0":"s6","s1":"s2","s2":"s8","s3":"s7","s4":"s5","s5":"s5","s6":"s7","s7":"s8","s8":"s7"},"g":{"s0":"s2","s1":"s6","s2":"s0","s3":"s5","s4":"s1","s5":"s2","s6":"s4","s7":"s1","s8":"s5"}} | Given the following FSM:
a b c d e f g
s0 s8 s5 s7 s8 s1 s6 s2
s1 s5 s3 s0 s8 s6 s2 s6
s2 s6 s3 s1 s5 s8 s8 s0
s3 s8 s2 s4 s3 s7 s7 s5
s4 s2 s2 s8 s6 s3 s5 s1
s5 s4 s5 s8 s6 s6 s5 s2
s6 s7 s3 s3 s3 s7 s7 s4
s7 s8 s6 s5 s8 s1 s8 s1
s8 s2 s0 s7 s5 s7 s7 s5
If we are in state s7 and the input is c, what state will we be in next? | s5 |
8447d624-7abe-4c02-a930-424a179a2e37 | aae202ed-2701-4924-ac85-015145417ae7 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5"], "alphabets": "abcdefg", "accepting_states": ["s4", "s3", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s5","s1":"s2","s2":"s0","s3":"s0","s4":"s2","s5":"s1"},"b":{"s0":"s3","s1":"s5","s2":"s1","s3":"s3","s4":"s3","s5":"s0"},"c":{"s0":"s1","s1":"s3","s2":"s2","s3":"s1","s4":"s1","s5":"s4"},"d":{"s0":"s4","s1":"s4","s2":"s0","s3":"s3","s4":"s1","s5":"s4"},"e":{"s0":"s2","s1":"s2","s2":"s4","s3":"s4","s4":"s0","s5":"s1"},"f":{"s0":"s2","s1":"s5","s2":"s0","s3":"s3","s4":"s0","s5":"s1"},"g":{"s0":"s0","s1":"s1","s2":"s2","s3":"s4","s4":"s4","s5":"s4"}} | Given the following FSM:
a b c d e f g
s0 s5 s3 s1 s4 s2 s2 s0
s1 s2 s5 s3 s4 s2 s5 s1
s2 s0 s1 s2 s0 s4 s0 s2
s3 s0 s3 s1 s3 s4 s3 s4
s4 s2 s3 s1 s1 s0 s0 s4
s5 s1 s0 s4 s4 s1 s1 s4
If we are in state s2 and the input is b, what state will we be in next? | s1 |
c26d8d1a-e2ce-4352-98bd-da39d05a878f | c454710d-beba-421b-ab9a-496bc4bdf31d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11"], "alphabets": "abcdefgh", "accepting_states": ["s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s4"]}]} | 5 | {"a":{"s0":"s4","s1":"s3","s2":"s6","s3":"s5","s4":"s4","s5":"s1","s6":"s2","s7":"s7","s8":"s8","s9":"s5","s10":"s3","s11":"s10"},"b":{"s0":"s5","s1":"s1","s2":"s2","s3":"s4","s4":"s11","s5":"s8","s6":"s5","s7":"s11","s8":"s10","s9":"s8","s10":"s9","s11":"s7"},"c":{"s0":"s9","s1":"s2","s2":"s4","s3":"s2","s4":"s8","s5":"s6","s6":"s2","s7":"s7","s8":"s10","s9":"s2","s10":"s3","s11":"s6"},"d":{"s0":"s6","s1":"s8","s2":"s1","s3":"s11","s4":"s0","s5":"s2","s6":"s3","s7":"s7","s8":"s5","s9":"s0","s10":"s11","s11":"s9"},"e":{"s0":"s0","s1":"s2","s2":"s8","s3":"s4","s4":"s11","s5":"s11","s6":"s10","s7":"s0","s8":"s9","s9":"s6","s10":"s4","s11":"s2"},"f":{"s0":"s11","s1":"s9","s2":"s7","s3":"s8","s4":"s7","s5":"s10","s6":"s2","s7":"s4","s8":"s2","s9":"s9","s10":"s5","s11":"s1"},"g":{"s0":"s5","s1":"s5","s2":"s3","s3":"s1","s4":"s2","s5":"s8","s6":"s8","s7":"s10","s8":"s6","s9":"s11","s10":"s7","s11":"s1"},"h":{"s0":"s2","s1":"s2","s2":"s6","s3":"s4","s4":"s9","s5":"s11","s6":"s3","s7":"s11","s8":"s9","s9":"s9","s10":"s7","s11":"s4"}} | Given the following FSM:
a b c d e f g h
s0 s4 s5 s9 s6 s0 s11 s5 s2
s1 s3 s1 s2 s8 s2 s9 s5 s2
s2 s6 s2 s4 s1 s8 s7 s3 s6
s3 s5 s4 s2 s11 s4 s8 s1 s4
s4 s4 s11 s8 s0 s11 s7 s2 s9
s5 s1 s8 s6 s2 s11 s10 s8 s11
s6 s2 s5 s2 s3 s10 s2 s8 s3
s7 s7 s11 s7 s7 s0 s4 s10 s11
s8 s8 s10 s10 s5 s9 s2 s6 s9
s9 s5 s8 s2 s0 s6 s9 s11 s9
s10 s3 s9 s3 s11 s4 s5 s7 s7
s11 s10 s7 s6 s9 s2 s1 s1 s4
If we are in state s10 and the input is e, what state will we be in next? | s4 |
5c57d824-fc1c-4441-8d2e-9b39e43f8b2c | 8c9ae2f2-4b9e-471e-8789-98a089885ad5 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12", "s13"], "alphabets": "abcd", "accepting_states": ["s10", "s11", "s4", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s13", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s13", "symbol": "d", "toStates": ["s0"]}]} | 4 | {"a":{"s0":"s7","s1":"s1","s2":"s2","s3":"s0","s4":"s0","s5":"s5","s6":"s13","s7":"s13","s8":"s2","s9":"s2","s10":"s0","s11":"s8","s12":"s12","s13":"s3"},"b":{"s0":"s2","s1":"s7","s2":"s3","s3":"s12","s4":"s0","s5":"s13","s6":"s3","s7":"s2","s8":"s1","s9":"s12","s10":"s3","s11":"s7","s12":"s7","s13":"s6"},"c":{"s0":"s4","s1":"s8","s2":"s2","s3":"s11","s4":"s5","s5":"s9","s6":"s12","s7":"s12","s8":"s2","s9":"s1","s10":"s12","s11":"s2","s12":"s10","s13":"s7"},"d":{"s0":"s3","s1":"s9","s2":"s1","s3":"s6","s4":"s9","s5":"s10","s6":"s4","s7":"s11","s8":"s9","s9":"s12","s10":"s12","s11":"s5","s12":"s4","s13":"s0"}} | Given the following FSM:
a b c d
s0 s7 s2 s4 s3
s1 s1 s7 s8 s9
s2 s2 s3 s2 s1
s3 s0 s12 s11 s6
s4 s0 s0 s5 s9
s5 s5 s13 s9 s10
s6 s13 s3 s12 s4
s7 s13 s2 s12 s11
s8 s2 s1 s2 s9
s9 s2 s12 s1 s12
s10 s0 s3 s12 s12
s11 s8 s7 s2 s5
s12 s12 s7 s10 s4
s13 s3 s6 s7 s0
If we are in state s5 and the input is c, what state will we be in next? | s9 |
dc3d9ac5-109a-4c89-8309-48224b5d086a | 973f5e31-9535-4000-814b-91040ca264c2 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abcdefghij", "accepting_states": ["s6", "s12", "s0", "s5", "s7", "s10", "s3", "s11", "s8", "s1", "s2", "s9", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s12"]}, {"fromState": "s0", "symbol": "j", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "j", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "j", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "j", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "j", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "j", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "j", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "j", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "j", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "i", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "j", "toStates": ["s12"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "j", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "i", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "j", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s12", "symbol": "g", "toStates": ["s11"]}, {"fromState": "s12", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "i", "toStates": ["s7"]}, {"fromState": "s12", "symbol": "j", "toStates": ["s6"]}]} | 5 | {"a":{"s0":"s12","s1":"s4","s2":"s3","s3":"s2","s4":"s4","s5":"s2","s6":"s12","s7":"s0","s8":"s4","s9":"s3","s10":"s0","s11":"s1","s12":"s7"},"b":{"s0":"s8","s1":"s0","s2":"s12","s3":"s11","s4":"s9","s5":"s8","s6":"s10","s7":"s2","s8":"s10","s9":"s8","s10":"s2","s11":"s4","s12":"s7"},"c":{"s0":"s8","s1":"s10","s2":"s10","s3":"s4","s4":"s4","s5":"s12","s6":"s9","s7":"s5","s8":"s2","s9":"s12","s10":"s9","s11":"s5","s12":"s10"},"d":{"s0":"s11","s1":"s5","s2":"s7","s3":"s8","s4":"s7","s5":"s2","s6":"s10","s7":"s10","s8":"s10","s9":"s12","s10":"s0","s11":"s3","s12":"s2"},"e":{"s0":"s6","s1":"s1","s2":"s3","s3":"s2","s4":"s11","s5":"s2","s6":"s6","s7":"s1","s8":"s11","s9":"s3","s10":"s1","s11":"s12","s12":"s10"},"f":{"s0":"s12","s1":"s10","s2":"s2","s3":"s0","s4":"s2","s5":"s8","s6":"s1","s7":"s8","s8":"s11","s9":"s8","s10":"s4","s11":"s1","s12":"s2"},"g":{"s0":"s4","s1":"s10","s2":"s2","s3":"s5","s4":"s9","s5":"s9","s6":"s10","s7":"s2","s8":"s1","s9":"s12","s10":"s8","s11":"s4","s12":"s11"},"h":{"s0":"s6","s1":"s5","s2":"s3","s3":"s1","s4":"s4","s5":"s7","s6":"s11","s7":"s7","s8":"s8","s9":"s4","s10":"s7","s11":"s2","s12":"s9"},"i":{"s0":"s12","s1":"s0","s2":"s5","s3":"s8","s4":"s1","s5":"s10","s6":"s8","s7":"s11","s8":"s6","s9":"s12","s10":"s0","s11":"s10","s12":"s7"},"j":{"s0":"s9","s1":"s3","s2":"s9","s3":"s7","s4":"s1","s5":"s5","s6":"s7","s7":"s4","s8":"s8","s9":"s12","s10":"s0","s11":"s5","s12":"s6"}} | Given the following FSM:
a b c d e f g h i j
s0 s12 s8 s8 s11 s6 s12 s4 s6 s12 s9
s1 s4 s0 s10 s5 s1 s10 s10 s5 s0 s3
s2 s3 s12 s10 s7 s3 s2 s2 s3 s5 s9
s3 s2 s11 s4 s8 s2 s0 s5 s1 s8 s7
s4 s4 s9 s4 s7 s11 s2 s9 s4 s1 s1
s5 s2 s8 s12 s2 s2 s8 s9 s7 s10 s5
s6 s12 s10 s9 s10 s6 s1 s10 s11 s8 s7
s7 s0 s2 s5 s10 s1 s8 s2 s7 s11 s4
s8 s4 s10 s2 s10 s11 s11 s1 s8 s6 s8
s9 s3 s8 s12 s12 s3 s8 s12 s4 s12 s12
s10 s0 s2 s9 s0 s1 s4 s8 s7 s0 s0
s11 s1 s4 s5 s3 s12 s1 s4 s2 s10 s5
s12 s7 s7 s10 s2 s10 s2 s11 s9 s7 s6
If we are in state s3 and the input is j, what state will we be in next? | s7 |
6c9dd3d8-8b89-4c19-9b1c-a3bf54e032ff | 7bb0e7ad-2ae3-4454-b12b-09478f73fc2b | {"states": ["s0", "s1", "s2", "s3", "s4", "s5"], "alphabets": "abcdefghi", "accepting_states": ["s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s1"]}, {"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": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s2"]}]} | 4 | {"a":{"s0":"s4","s1":"s2","s2":"s3","s3":"s1","s4":"s3","s5":"s2"},"b":{"s0":"s1","s1":"s1","s2":"s1","s3":"s1","s4":"s1","s5":"s2"},"c":{"s0":"s0","s1":"s1","s2":"s1","s3":"s5","s4":"s1","s5":"s3"},"d":{"s0":"s4","s1":"s4","s2":"s0","s3":"s4","s4":"s5","s5":"s2"},"e":{"s0":"s0","s1":"s5","s2":"s5","s3":"s0","s4":"s3","s5":"s0"},"f":{"s0":"s4","s1":"s1","s2":"s5","s3":"s4","s4":"s4","s5":"s3"},"g":{"s0":"s3","s1":"s1","s2":"s0","s3":"s4","s4":"s1","s5":"s1"},"h":{"s0":"s5","s1":"s4","s2":"s2","s3":"s3","s4":"s1","s5":"s1"},"i":{"s0":"s1","s1":"s4","s2":"s0","s3":"s1","s4":"s2","s5":"s2"}} | Given the following FSM:
a b c d e f g h i
s0 s4 s1 s0 s4 s0 s4 s3 s5 s1
s1 s2 s1 s1 s4 s5 s1 s1 s4 s4
s2 s3 s1 s1 s0 s5 s5 s0 s2 s0
s3 s1 s1 s5 s4 s0 s4 s4 s3 s1
s4 s3 s1 s1 s5 s3 s4 s1 s1 s2
s5 s2 s2 s3 s2 s0 s3 s1 s1 s2
If we are in state s5 and the input is d, what state will we be in next? | s2 |
4a06ebce-fceb-43bc-bf40-087b5959f230 | 91b34dde-af38-4deb-865e-3f8acd53700d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12", "s13", "s14"], "alphabets": "abcde", "accepting_states": ["s3", "s2", "s11", "s13", "s14", "s0", "s12", "s8", "s9", "s10"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s14"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s14"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s14"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s14"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s14"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s13"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s14"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s14"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s14"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s14"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s13", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s13", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s14", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s14", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s14", "symbol": "c", "toStates": ["s13"]}, {"fromState": "s14", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s14", "symbol": "e", "toStates": ["s12"]}]} | 5 | {"a":{"s0":"s10","s1":"s14","s2":"s4","s3":"s2","s4":"s13","s5":"s14","s6":"s5","s7":"s2","s8":"s4","s9":"s2","s10":"s5","s11":"s1","s12":"s10","s13":"s14","s14":"s6"},"b":{"s0":"s1","s1":"s11","s2":"s14","s3":"s11","s4":"s11","s5":"s3","s6":"s12","s7":"s12","s8":"s6","s9":"s9","s10":"s9","s11":"s2","s12":"s10","s13":"s5","s14":"s8"},"c":{"s0":"s6","s1":"s11","s2":"s9","s3":"s5","s4":"s2","s5":"s4","s6":"s3","s7":"s5","s8":"s4","s9":"s1","s10":"s3","s11":"s3","s12":"s11","s13":"s3","s14":"s13"},"d":{"s0":"s14","s1":"s10","s2":"s4","s3":"s13","s4":"s7","s5":"s1","s6":"s0","s7":"s5","s8":"s1","s9":"s12","s10":"s14","s11":"s0","s12":"s2","s13":"s13","s14":"s0"},"e":{"s0":"s0","s1":"s0","s2":"s14","s3":"s2","s4":"s2","s5":"s7","s6":"s13","s7":"s14","s8":"s1","s9":"s7","s10":"s0","s11":"s12","s12":"s14","s13":"s6","s14":"s12"}} | Given the following FSM:
a b c d e
s0 s10 s1 s6 s14 s0
s1 s14 s11 s11 s10 s0
s2 s4 s14 s9 s4 s14
s3 s2 s11 s5 s13 s2
s4 s13 s11 s2 s7 s2
s5 s14 s3 s4 s1 s7
s6 s5 s12 s3 s0 s13
s7 s2 s12 s5 s5 s14
s8 s4 s6 s4 s1 s1
s9 s2 s9 s1 s12 s7
s10 s5 s9 s3 s14 s0
s11 s1 s2 s3 s0 s12
s12 s10 s10 s11 s2 s14
s13 s14 s5 s3 s13 s6
s14 s6 s8 s13 s0 s12
If we are in state s12 and the input is e, what state will we be in next? | s14 |
f3f3c6f2-877e-478f-9bdd-9db0588896ae | aa3fc369-5ea8-4821-a3a2-c6536632eef1 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcdefg", "accepting_states": ["s2", "s9", "s0", "s5", "s7", "s3", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s1","s1":"s7","s2":"s0","s3":"s3","s4":"s5","s5":"s0","s6":"s0","s7":"s7","s8":"s9","s9":"s6"},"b":{"s0":"s8","s1":"s3","s2":"s5","s3":"s3","s4":"s4","s5":"s8","s6":"s0","s7":"s6","s8":"s8","s9":"s3"},"c":{"s0":"s4","s1":"s8","s2":"s6","s3":"s7","s4":"s8","s5":"s3","s6":"s0","s7":"s7","s8":"s8","s9":"s8"},"d":{"s0":"s4","s1":"s2","s2":"s9","s3":"s4","s4":"s3","s5":"s5","s6":"s6","s7":"s6","s8":"s2","s9":"s3"},"e":{"s0":"s6","s1":"s2","s2":"s4","s3":"s1","s4":"s0","s5":"s1","s6":"s9","s7":"s2","s8":"s5","s9":"s6"},"f":{"s0":"s7","s1":"s7","s2":"s8","s3":"s4","s4":"s5","s5":"s2","s6":"s6","s7":"s6","s8":"s2","s9":"s1"},"g":{"s0":"s2","s1":"s7","s2":"s9","s3":"s3","s4":"s5","s5":"s6","s6":"s0","s7":"s3","s8":"s0","s9":"s6"}} | Given the following FSM:
a b c d e f g
s0 s1 s8 s4 s4 s6 s7 s2
s1 s7 s3 s8 s2 s2 s7 s7
s2 s0 s5 s6 s9 s4 s8 s9
s3 s3 s3 s7 s4 s1 s4 s3
s4 s5 s4 s8 s3 s0 s5 s5
s5 s0 s8 s3 s5 s1 s2 s6
s6 s0 s0 s0 s6 s9 s6 s0
s7 s7 s6 s7 s6 s2 s6 s3
s8 s9 s8 s8 s2 s5 s2 s0
s9 s6 s3 s8 s3 s6 s1 s6
If we are in state s1 and the input is d, what state will we be in next? | s2 |
c65f9433-dc6e-44d2-b520-1d98dabed4bc | bd374056-0771-4c8a-9cd7-8185d6b38c11 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdef", "accepting_states": ["s3", "s0", "s5", "s7", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s0","s1":"s1","s2":"s5","s3":"s6","s4":"s2","s5":"s8","s6":"s8","s7":"s5","s8":"s6"},"b":{"s0":"s2","s1":"s4","s2":"s2","s3":"s7","s4":"s4","s5":"s5","s6":"s2","s7":"s5","s8":"s4"},"c":{"s0":"s3","s1":"s4","s2":"s6","s3":"s7","s4":"s8","s5":"s1","s6":"s7","s7":"s5","s8":"s6"},"d":{"s0":"s3","s1":"s3","s2":"s1","s3":"s7","s4":"s5","s5":"s8","s6":"s1","s7":"s6","s8":"s6"},"e":{"s0":"s0","s1":"s3","s2":"s1","s3":"s1","s4":"s7","s5":"s1","s6":"s8","s7":"s7","s8":"s4"},"f":{"s0":"s6","s1":"s0","s2":"s7","s3":"s1","s4":"s6","s5":"s2","s6":"s8","s7":"s3","s8":"s6"}} | Given the following FSM:
a b c d e f
s0 s0 s2 s3 s3 s0 s6
s1 s1 s4 s4 s3 s3 s0
s2 s5 s2 s6 s1 s1 s7
s3 s6 s7 s7 s7 s1 s1
s4 s2 s4 s8 s5 s7 s6
s5 s8 s5 s1 s8 s1 s2
s6 s8 s2 s7 s1 s8 s8
s7 s5 s5 s5 s6 s7 s3
s8 s6 s4 s6 s6 s4 s6
If we are in state s0 and the input is f, what state will we be in next? | s6 |
037c5243-8823-41cf-a86e-a783f3185c33 | b73d391e-4da9-4116-a774-6d2cedcb3566 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5"], "alphabets": "abcdefgh", "accepting_states": ["s0", "s3"], "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": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s3","s1":"s4","s2":"s0","s3":"s2","s4":"s2","s5":"s2"},"b":{"s0":"s1","s1":"s3","s2":"s1","s3":"s3","s4":"s1","s5":"s1"},"c":{"s0":"s4","s1":"s1","s2":"s1","s3":"s0","s4":"s5","s5":"s1"},"d":{"s0":"s4","s1":"s0","s2":"s0","s3":"s4","s4":"s0","s5":"s5"},"e":{"s0":"s0","s1":"s4","s2":"s3","s3":"s4","s4":"s2","s5":"s0"},"f":{"s0":"s0","s1":"s5","s2":"s4","s3":"s5","s4":"s1","s5":"s1"},"g":{"s0":"s1","s1":"s3","s2":"s1","s3":"s5","s4":"s5","s5":"s4"},"h":{"s0":"s1","s1":"s1","s2":"s4","s3":"s0","s4":"s1","s5":"s4"}} | Given the following FSM:
a b c d e f g h
s0 s3 s1 s4 s4 s0 s0 s1 s1
s1 s4 s3 s1 s0 s4 s5 s3 s1
s2 s0 s1 s1 s0 s3 s4 s1 s4
s3 s2 s3 s0 s4 s4 s5 s5 s0
s4 s2 s1 s5 s0 s2 s1 s5 s1
s5 s2 s1 s1 s5 s0 s1 s4 s4
If we are in state s4 and the input is b, what state will we be in next? | s1 |
ae2b7a75-068c-4e45-8ec2-ea5e72317286 | 478a6653-a1d5-4607-b8de-6544707b55e6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12", "s13"], "alphabets": "abcd", "accepting_states": ["s1", "s7", "s12", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s13"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s13"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s13"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s13", "symbol": "c", "toStates": ["s13"]}, {"fromState": "s13", "symbol": "d", "toStates": ["s9"]}]} | 4 | {"a":{"s0":"s13","s1":"s8","s2":"s8","s3":"s10","s4":"s5","s5":"s8","s6":"s11","s7":"s0","s8":"s7","s9":"s12","s10":"s7","s11":"s8","s12":"s9","s13":"s2"},"b":{"s0":"s5","s1":"s7","s2":"s5","s3":"s1","s4":"s10","s5":"s9","s6":"s3","s7":"s11","s8":"s8","s9":"s12","s10":"s1","s11":"s7","s12":"s1","s13":"s5"},"c":{"s0":"s13","s1":"s1","s2":"s4","s3":"s3","s4":"s0","s5":"s2","s6":"s13","s7":"s12","s8":"s7","s9":"s1","s10":"s6","s11":"s13","s12":"s7","s13":"s13"},"d":{"s0":"s7","s1":"s5","s2":"s6","s3":"s7","s4":"s1","s5":"s10","s6":"s3","s7":"s5","s8":"s13","s9":"s11","s10":"s4","s11":"s8","s12":"s13","s13":"s9"}} | Given the following FSM:
a b c d
s0 s13 s5 s13 s7
s1 s8 s7 s1 s5
s2 s8 s5 s4 s6
s3 s10 s1 s3 s7
s4 s5 s10 s0 s1
s5 s8 s9 s2 s10
s6 s11 s3 s13 s3
s7 s0 s11 s12 s5
s8 s7 s8 s7 s13
s9 s12 s12 s1 s11
s10 s7 s1 s6 s4
s11 s8 s7 s13 s8
s12 s9 s1 s7 s13
s13 s2 s5 s13 s9
If we are in state s11 and the input is a, what state will we be in next? | s8 |
b39f2def-eadb-4354-a319-1a91eee56fe9 | 6cf65a0f-b3fb-407f-a7a6-81b90506a0da | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abcde", "accepting_states": ["s12", "s5", "s6", "s1", "s3", "s0", "s11"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s4","s1":"s8","s2":"s5","s3":"s3","s4":"s11","s5":"s11","s6":"s5","s7":"s3","s8":"s12","s9":"s3","s10":"s8","s11":"s12","s12":"s4"},"b":{"s0":"s5","s1":"s8","s2":"s6","s3":"s0","s4":"s10","s5":"s3","s6":"s6","s7":"s8","s8":"s4","s9":"s3","s10":"s2","s11":"s4","s12":"s6"},"c":{"s0":"s1","s1":"s2","s2":"s9","s3":"s1","s4":"s9","s5":"s2","s6":"s1","s7":"s12","s8":"s9","s9":"s5","s10":"s10","s11":"s6","s12":"s2"},"d":{"s0":"s5","s1":"s9","s2":"s4","s3":"s6","s4":"s3","s5":"s12","s6":"s6","s7":"s8","s8":"s6","s9":"s7","s10":"s9","s11":"s8","s12":"s5"},"e":{"s0":"s2","s1":"s2","s2":"s2","s3":"s4","s4":"s9","s5":"s11","s6":"s7","s7":"s8","s8":"s6","s9":"s6","s10":"s5","s11":"s4","s12":"s3"}} | Given the following FSM:
a b c d e
s0 s4 s5 s1 s5 s2
s1 s8 s8 s2 s9 s2
s2 s5 s6 s9 s4 s2
s3 s3 s0 s1 s6 s4
s4 s11 s10 s9 s3 s9
s5 s11 s3 s2 s12 s11
s6 s5 s6 s1 s6 s7
s7 s3 s8 s12 s8 s8
s8 s12 s4 s9 s6 s6
s9 s3 s3 s5 s7 s6
s10 s8 s2 s10 s9 s5
s11 s12 s4 s6 s8 s4
s12 s4 s6 s2 s5 s3
If we are in state s1 and the input is a, what state will we be in next? | s8 |
7b3b0a77-70fe-492b-aab9-e4a0e31d372e | 5517884e-7d21-4d79-91d8-4f506b83bc4a | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11"], "alphabets": "abcde", "accepting_states": ["s2", "s3", "s11", "s10", "s4", "s8", "s6", "s5", "s9", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s9","s1":"s5","s2":"s7","s3":"s11","s4":"s0","s5":"s8","s6":"s9","s7":"s4","s8":"s10","s9":"s9","s10":"s0","s11":"s9"},"b":{"s0":"s10","s1":"s3","s2":"s11","s3":"s4","s4":"s7","s5":"s0","s6":"s2","s7":"s6","s8":"s3","s9":"s11","s10":"s2","s11":"s8"},"c":{"s0":"s7","s1":"s1","s2":"s7","s3":"s1","s4":"s7","s5":"s6","s6":"s8","s7":"s11","s8":"s10","s9":"s0","s10":"s11","s11":"s6"},"d":{"s0":"s3","s1":"s3","s2":"s0","s3":"s2","s4":"s5","s5":"s8","s6":"s8","s7":"s6","s8":"s8","s9":"s8","s10":"s2","s11":"s3"},"e":{"s0":"s1","s1":"s10","s2":"s9","s3":"s10","s4":"s9","s5":"s6","s6":"s7","s7":"s4","s8":"s1","s9":"s5","s10":"s11","s11":"s1"}} | Given the following FSM:
a b c d e
s0 s9 s10 s7 s3 s1
s1 s5 s3 s1 s3 s10
s2 s7 s11 s7 s0 s9
s3 s11 s4 s1 s2 s10
s4 s0 s7 s7 s5 s9
s5 s8 s0 s6 s8 s6
s6 s9 s2 s8 s8 s7
s7 s4 s6 s11 s6 s4
s8 s10 s3 s10 s8 s1
s9 s9 s11 s0 s8 s5
s10 s0 s2 s11 s2 s11
s11 s9 s8 s6 s3 s1
If we are in state s9 and the input is c, what state will we be in next? | s0 |
909c2de2-cb7c-4a5b-8503-cc91bd479369 | 8bc83945-6fd8-43c3-b400-eff11267caeb | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12", "s13"], "alphabets": "abcdefgh", "accepting_states": ["s5", "s6", "s12", "s0", "s8", "s2", "s3", "s10", "s9", "s4", "s13", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s12"]}, {"fromState": "s0", "symbol": "h", "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": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s13"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s13"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s13"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s12", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s13", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s13", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s13", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s13", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s13", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s13", "symbol": "h", "toStates": ["s2"]}]} | 5 | {"a":{"s0":"s8","s1":"s0","s2":"s13","s3":"s11","s4":"s5","s5":"s6","s6":"s1","s7":"s12","s8":"s4","s9":"s8","s10":"s3","s11":"s11","s12":"s8","s13":"s3"},"b":{"s0":"s7","s1":"s1","s2":"s3","s3":"s9","s4":"s12","s5":"s0","s6":"s0","s7":"s12","s8":"s7","s9":"s9","s10":"s13","s11":"s13","s12":"s2","s13":"s13"},"c":{"s0":"s7","s1":"s5","s2":"s9","s3":"s9","s4":"s7","s5":"s1","s6":"s5","s7":"s2","s8":"s9","s9":"s8","s10":"s2","s11":"s11","s12":"s13","s13":"s9"},"d":{"s0":"s9","s1":"s4","s2":"s6","s3":"s2","s4":"s12","s5":"s11","s6":"s4","s7":"s11","s8":"s9","s9":"s8","s10":"s2","s11":"s10","s12":"s0","s13":"s6"},"e":{"s0":"s7","s1":"s10","s2":"s10","s3":"s9","s4":"s11","s5":"s12","s6":"s10","s7":"s10","s8":"s1","s9":"s11","s10":"s1","s11":"s9","s12":"s10","s13":"s10"},"f":{"s0":"s8","s1":"s4","s2":"s1","s3":"s1","s4":"s0","s5":"s3","s6":"s2","s7":"s1","s8":"s9","s9":"s7","s10":"s13","s11":"s6","s12":"s12","s13":"s9"},"g":{"s0":"s12","s1":"s13","s2":"s12","s3":"s4","s4":"s8","s5":"s1","s6":"s7","s7":"s11","s8":"s0","s9":"s10","s10":"s6","s11":"s10","s12":"s3","s13":"s2"},"h":{"s0":"s5","s1":"s3","s2":"s6","s3":"s0","s4":"s10","s5":"s5","s6":"s7","s7":"s4","s8":"s7","s9":"s3","s10":"s8","s11":"s6","s12":"s4","s13":"s2"}} | Given the following FSM:
a b c d e f g h
s0 s8 s7 s7 s9 s7 s8 s12 s5
s1 s0 s1 s5 s4 s10 s4 s13 s3
s2 s13 s3 s9 s6 s10 s1 s12 s6
s3 s11 s9 s9 s2 s9 s1 s4 s0
s4 s5 s12 s7 s12 s11 s0 s8 s10
s5 s6 s0 s1 s11 s12 s3 s1 s5
s6 s1 s0 s5 s4 s10 s2 s7 s7
s7 s12 s12 s2 s11 s10 s1 s11 s4
s8 s4 s7 s9 s9 s1 s9 s0 s7
s9 s8 s9 s8 s8 s11 s7 s10 s3
s10 s3 s13 s2 s2 s1 s13 s6 s8
s11 s11 s13 s11 s10 s9 s6 s10 s6
s12 s8 s2 s13 s0 s10 s12 s3 s4
s13 s3 s13 s9 s6 s10 s9 s2 s2
If we are in state s1 and the input is g, what state will we be in next? | s13 |
fa6f20d7-56e7-40c7-b8cf-58f008f0b227 | b9022fa8-7c39-4fb7-82d3-9b451e64e2a9 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5"], "alphabets": "abcdefghij", "accepting_states": ["s3", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "j", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "j", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "j", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "j", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "j", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "j", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s0","s1":"s0","s2":"s4","s3":"s1","s4":"s2","s5":"s1"},"b":{"s0":"s1","s1":"s5","s2":"s5","s3":"s2","s4":"s5","s5":"s5"},"c":{"s0":"s1","s1":"s5","s2":"s5","s3":"s4","s4":"s4","s5":"s1"},"d":{"s0":"s0","s1":"s3","s2":"s0","s3":"s5","s4":"s4","s5":"s3"},"e":{"s0":"s4","s1":"s4","s2":"s0","s3":"s0","s4":"s4","s5":"s3"},"f":{"s0":"s3","s1":"s4","s2":"s0","s3":"s5","s4":"s5","s5":"s1"},"g":{"s0":"s4","s1":"s0","s2":"s3","s3":"s2","s4":"s4","s5":"s0"},"h":{"s0":"s4","s1":"s1","s2":"s0","s3":"s4","s4":"s3","s5":"s5"},"i":{"s0":"s3","s1":"s5","s2":"s0","s3":"s5","s4":"s1","s5":"s2"},"j":{"s0":"s0","s1":"s0","s2":"s0","s3":"s4","s4":"s1","s5":"s5"}} | Given the following FSM:
a b c d e f g h i j
s0 s0 s1 s1 s0 s4 s3 s4 s4 s3 s0
s1 s0 s5 s5 s3 s4 s4 s0 s1 s5 s0
s2 s4 s5 s5 s0 s0 s0 s3 s0 s0 s0
s3 s1 s2 s4 s5 s0 s5 s2 s4 s5 s4
s4 s2 s5 s4 s4 s4 s5 s4 s3 s1 s1
s5 s1 s5 s1 s3 s3 s1 s0 s5 s2 s5
If we are in state s4 and the input is f, what state will we be in next? | s5 |
7b460811-fc00-4fb1-b0bb-d9e9d6cc14fe | 0d948204-1482-474f-a066-733c0b8aba48 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12", "s13"], "alphabets": "abcdefghij", "accepting_states": ["s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "j", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s13"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "j", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "j", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s13"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "j", "toStates": ["s13"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "j", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "j", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "j", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s13"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s13"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "j", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "j", "toStates": ["s13"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s13"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s13"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "j", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "i", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "j", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "j", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s12", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s12", "symbol": "i", "toStates": ["s11"]}, {"fromState": "s12", "symbol": "j", "toStates": ["s0"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s13", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s13", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s13", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s13", "symbol": "f", "toStates": ["s13"]}, {"fromState": "s13", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "h", "toStates": ["s11"]}, {"fromState": "s13", "symbol": "i", "toStates": ["s10"]}, {"fromState": "s13", "symbol": "j", "toStates": ["s7"]}]} | 5 | {"a":{"s0":"s10","s1":"s5","s2":"s2","s3":"s3","s4":"s4","s5":"s10","s6":"s2","s7":"s12","s8":"s4","s9":"s8","s10":"s13","s11":"s8","s12":"s3","s13":"s0"},"b":{"s0":"s12","s1":"s1","s2":"s7","s3":"s0","s4":"s1","s5":"s7","s6":"s9","s7":"s4","s8":"s10","s9":"s11","s10":"s12","s11":"s11","s12":"s7","s13":"s11"},"c":{"s0":"s12","s1":"s1","s2":"s2","s3":"s9","s4":"s3","s5":"s5","s6":"s0","s7":"s7","s8":"s4","s9":"s13","s10":"s6","s11":"s7","s12":"s5","s13":"s10"},"d":{"s0":"s1","s1":"s8","s2":"s7","s3":"s12","s4":"s3","s5":"s5","s6":"s1","s7":"s5","s8":"s7","s9":"s3","s10":"s13","s11":"s11","s12":"s8","s13":"s9"},"e":{"s0":"s2","s1":"s13","s2":"s6","s3":"s13","s4":"s11","s5":"s5","s6":"s4","s7":"s0","s8":"s4","s9":"s13","s10":"s9","s11":"s9","s12":"s0","s13":"s9"},"f":{"s0":"s1","s1":"s9","s2":"s7","s3":"s10","s4":"s6","s5":"s8","s6":"s2","s7":"s5","s8":"s3","s9":"s10","s10":"s9","s11":"s5","s12":"s0","s13":"s13"},"g":{"s0":"s11","s1":"s3","s2":"s11","s3":"s5","s4":"s0","s5":"s8","s6":"s1","s7":"s13","s8":"s1","s9":"s10","s10":"s3","s11":"s3","s12":"s9","s13":"s3"},"h":{"s0":"s10","s1":"s8","s2":"s0","s3":"s6","s4":"s8","s5":"s3","s6":"s0","s7":"s13","s8":"s7","s9":"s2","s10":"s5","s11":"s3","s12":"s8","s13":"s11"},"i":{"s0":"s11","s1":"s3","s2":"s4","s3":"s7","s4":"s4","s5":"s2","s6":"s11","s7":"s11","s8":"s1","s9":"s1","s10":"s9","s11":"s8","s12":"s11","s13":"s10"},"j":{"s0":"s10","s1":"s1","s2":"s1","s3":"s13","s4":"s3","s5":"s6","s6":"s1","s7":"s4","s8":"s13","s9":"s5","s10":"s6","s11":"s5","s12":"s0","s13":"s7"}} | Given the following FSM:
a b c d e f g h i j
s0 s10 s12 s12 s1 s2 s1 s11 s10 s11 s10
s1 s5 s1 s1 s8 s13 s9 s3 s8 s3 s1
s2 s2 s7 s2 s7 s6 s7 s11 s0 s4 s1
s3 s3 s0 s9 s12 s13 s10 s5 s6 s7 s13
s4 s4 s1 s3 s3 s11 s6 s0 s8 s4 s3
s5 s10 s7 s5 s5 s5 s8 s8 s3 s2 s6
s6 s2 s9 s0 s1 s4 s2 s1 s0 s11 s1
s7 s12 s4 s7 s5 s0 s5 s13 s13 s11 s4
s8 s4 s10 s4 s7 s4 s3 s1 s7 s1 s13
s9 s8 s11 s13 s3 s13 s10 s10 s2 s1 s5
s10 s13 s12 s6 s13 s9 s9 s3 s5 s9 s6
s11 s8 s11 s7 s11 s9 s5 s3 s3 s8 s5
s12 s3 s7 s5 s8 s0 s0 s9 s8 s11 s0
s13 s0 s11 s10 s9 s9 s13 s3 s11 s10 s7
If we are in state s2 and the input is h, what state will we be in next? | s0 |
906f312e-a067-4794-8cf0-a7cf9d355285 | 5158d75e-22c7-4d50-89e6-312f3ea875ad | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7"], "alphabets": "abcdefghij", "accepting_states": ["s5", "s3", "s6", "s0", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "j", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "j", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "j", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "j", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "j", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "j", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "j", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "j", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s4","s1":"s3","s2":"s7","s3":"s1","s4":"s5","s5":"s5","s6":"s2","s7":"s5"},"b":{"s0":"s3","s1":"s1","s2":"s2","s3":"s0","s4":"s7","s5":"s3","s6":"s6","s7":"s3"},"c":{"s0":"s1","s1":"s6","s2":"s0","s3":"s1","s4":"s5","s5":"s4","s6":"s1","s7":"s2"},"d":{"s0":"s4","s1":"s4","s2":"s1","s3":"s5","s4":"s0","s5":"s7","s6":"s5","s7":"s5"},"e":{"s0":"s3","s1":"s7","s2":"s7","s3":"s2","s4":"s3","s5":"s3","s6":"s7","s7":"s5"},"f":{"s0":"s7","s1":"s5","s2":"s2","s3":"s7","s4":"s0","s5":"s0","s6":"s4","s7":"s0"},"g":{"s0":"s6","s1":"s6","s2":"s6","s3":"s7","s4":"s3","s5":"s3","s6":"s4","s7":"s1"},"h":{"s0":"s3","s1":"s4","s2":"s6","s3":"s2","s4":"s7","s5":"s4","s6":"s0","s7":"s1"},"i":{"s0":"s6","s1":"s1","s2":"s2","s3":"s3","s4":"s6","s5":"s2","s6":"s6","s7":"s1"},"j":{"s0":"s1","s1":"s3","s2":"s7","s3":"s7","s4":"s1","s5":"s5","s6":"s6","s7":"s3"}} | Given the following FSM:
a b c d e f g h i j
s0 s4 s3 s1 s4 s3 s7 s6 s3 s6 s1
s1 s3 s1 s6 s4 s7 s5 s6 s4 s1 s3
s2 s7 s2 s0 s1 s7 s2 s6 s6 s2 s7
s3 s1 s0 s1 s5 s2 s7 s7 s2 s3 s7
s4 s5 s7 s5 s0 s3 s0 s3 s7 s6 s1
s5 s5 s3 s4 s7 s3 s0 s3 s4 s2 s5
s6 s2 s6 s1 s5 s7 s4 s4 s0 s6 s6
s7 s5 s3 s2 s5 s5 s0 s1 s1 s1 s3
If we are in state s6 and the input is i, what state will we be in next? | s6 |
737af498-fe51-4cd9-b818-be42b9371f62 | 26febefc-9c53-4872-a9df-ba485752b69c | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcdefghi", "accepting_states": ["s6", "s1", "s10", "s3"], "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": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "i", "toStates": ["s7"]}]} | 5 | {"a":{"s0":"s4","s1":"s6","s2":"s5","s3":"s9","s4":"s9","s5":"s4","s6":"s6","s7":"s0","s8":"s4","s9":"s6","s10":"s10"},"b":{"s0":"s1","s1":"s3","s2":"s1","s3":"s4","s4":"s10","s5":"s9","s6":"s1","s7":"s6","s8":"s6","s9":"s10","s10":"s3"},"c":{"s0":"s6","s1":"s7","s2":"s1","s3":"s0","s4":"s8","s5":"s8","s6":"s9","s7":"s3","s8":"s5","s9":"s7","s10":"s2"},"d":{"s0":"s6","s1":"s9","s2":"s10","s3":"s9","s4":"s8","s5":"s6","s6":"s10","s7":"s9","s8":"s1","s9":"s1","s10":"s5"},"e":{"s0":"s4","s1":"s4","s2":"s8","s3":"s2","s4":"s9","s5":"s0","s6":"s6","s7":"s2","s8":"s0","s9":"s4","s10":"s0"},"f":{"s0":"s4","s1":"s3","s2":"s2","s3":"s6","s4":"s5","s5":"s10","s6":"s7","s7":"s6","s8":"s6","s9":"s3","s10":"s5"},"g":{"s0":"s0","s1":"s2","s2":"s3","s3":"s10","s4":"s4","s5":"s8","s6":"s3","s7":"s10","s8":"s5","s9":"s1","s10":"s7"},"h":{"s0":"s3","s1":"s1","s2":"s0","s3":"s2","s4":"s8","s5":"s2","s6":"s3","s7":"s10","s8":"s9","s9":"s10","s10":"s4"},"i":{"s0":"s9","s1":"s6","s2":"s9","s3":"s8","s4":"s5","s5":"s10","s6":"s7","s7":"s1","s8":"s2","s9":"s8","s10":"s7"}} | Given the following FSM:
a b c d e f g h i
s0 s4 s1 s6 s6 s4 s4 s0 s3 s9
s1 s6 s3 s7 s9 s4 s3 s2 s1 s6
s2 s5 s1 s1 s10 s8 s2 s3 s0 s9
s3 s9 s4 s0 s9 s2 s6 s10 s2 s8
s4 s9 s10 s8 s8 s9 s5 s4 s8 s5
s5 s4 s9 s8 s6 s0 s10 s8 s2 s10
s6 s6 s1 s9 s10 s6 s7 s3 s3 s7
s7 s0 s6 s3 s9 s2 s6 s10 s10 s1
s8 s4 s6 s5 s1 s0 s6 s5 s9 s2
s9 s6 s10 s7 s1 s4 s3 s1 s10 s8
s10 s10 s3 s2 s5 s0 s5 s7 s4 s7
If we are in state s2 and the input is f, what state will we be in next? | s2 |
0960488e-3eed-42c1-bffe-60872a0bce1e | f6f2001b-c7f0-41d6-83d5-0af78eff96d4 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11"], "alphabets": "abcdefgh", "accepting_states": ["s10", "s3", "s6", "s8", "s2", "s7", "s11", "s1", "s9", "s0", "s4", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s6"]}]} | 5 | {"a":{"s0":"s10","s1":"s7","s2":"s11","s3":"s10","s4":"s7","s5":"s6","s6":"s3","s7":"s11","s8":"s3","s9":"s6","s10":"s5","s11":"s3"},"b":{"s0":"s5","s1":"s11","s2":"s11","s3":"s7","s4":"s2","s5":"s3","s6":"s0","s7":"s6","s8":"s9","s9":"s0","s10":"s0","s11":"s6"},"c":{"s0":"s11","s1":"s5","s2":"s5","s3":"s6","s4":"s2","s5":"s0","s6":"s8","s7":"s5","s8":"s10","s9":"s6","s10":"s6","s11":"s5"},"d":{"s0":"s10","s1":"s9","s2":"s6","s3":"s3","s4":"s5","s5":"s1","s6":"s0","s7":"s9","s8":"s4","s9":"s3","s10":"s0","s11":"s10"},"e":{"s0":"s3","s1":"s9","s2":"s2","s3":"s3","s4":"s8","s5":"s0","s6":"s4","s7":"s4","s8":"s6","s9":"s1","s10":"s11","s11":"s10"},"f":{"s0":"s6","s1":"s2","s2":"s10","s3":"s8","s4":"s6","s5":"s10","s6":"s9","s7":"s9","s8":"s2","s9":"s8","s10":"s3","s11":"s6"},"g":{"s0":"s4","s1":"s11","s2":"s8","s3":"s3","s4":"s9","s5":"s2","s6":"s9","s7":"s10","s8":"s3","s9":"s1","s10":"s5","s11":"s5"},"h":{"s0":"s2","s1":"s4","s2":"s7","s3":"s0","s4":"s5","s5":"s9","s6":"s0","s7":"s6","s8":"s11","s9":"s2","s10":"s4","s11":"s6"}} | Given the following FSM:
a b c d e f g h
s0 s10 s5 s11 s10 s3 s6 s4 s2
s1 s7 s11 s5 s9 s9 s2 s11 s4
s2 s11 s11 s5 s6 s2 s10 s8 s7
s3 s10 s7 s6 s3 s3 s8 s3 s0
s4 s7 s2 s2 s5 s8 s6 s9 s5
s5 s6 s3 s0 s1 s0 s10 s2 s9
s6 s3 s0 s8 s0 s4 s9 s9 s0
s7 s11 s6 s5 s9 s4 s9 s10 s6
s8 s3 s9 s10 s4 s6 s2 s3 s11
s9 s6 s0 s6 s3 s1 s8 s1 s2
s10 s5 s0 s6 s0 s11 s3 s5 s4
s11 s3 s6 s5 s10 s10 s6 s5 s6
If we are in state s4 and the input is a, what state will we be in next? | s7 |
4792a5f7-4cea-4882-8700-fa15744a2702 | 34812977-4db3-45ea-9cfa-7e6d07bd0521 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11"], "alphabets": "abcdef", "accepting_states": ["s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s10","s1":"s7","s2":"s11","s3":"s8","s4":"s7","s5":"s4","s6":"s7","s7":"s9","s8":"s5","s9":"s5","s10":"s5","s11":"s7"},"b":{"s0":"s10","s1":"s5","s2":"s8","s3":"s3","s4":"s9","s5":"s11","s6":"s8","s7":"s6","s8":"s6","s9":"s3","s10":"s1","s11":"s6"},"c":{"s0":"s0","s1":"s5","s2":"s2","s3":"s5","s4":"s5","s5":"s11","s6":"s10","s7":"s9","s8":"s8","s9":"s0","s10":"s9","s11":"s4"},"d":{"s0":"s9","s1":"s0","s2":"s0","s3":"s10","s4":"s6","s5":"s1","s6":"s6","s7":"s10","s8":"s0","s9":"s5","s10":"s10","s11":"s8"},"e":{"s0":"s1","s1":"s5","s2":"s4","s3":"s2","s4":"s6","s5":"s2","s6":"s5","s7":"s7","s8":"s0","s9":"s9","s10":"s8","s11":"s9"},"f":{"s0":"s8","s1":"s1","s2":"s8","s3":"s7","s4":"s9","s5":"s0","s6":"s9","s7":"s0","s8":"s9","s9":"s9","s10":"s9","s11":"s6"}} | Given the following FSM:
a b c d e f
s0 s10 s10 s0 s9 s1 s8
s1 s7 s5 s5 s0 s5 s1
s2 s11 s8 s2 s0 s4 s8
s3 s8 s3 s5 s10 s2 s7
s4 s7 s9 s5 s6 s6 s9
s5 s4 s11 s11 s1 s2 s0
s6 s7 s8 s10 s6 s5 s9
s7 s9 s6 s9 s10 s7 s0
s8 s5 s6 s8 s0 s0 s9
s9 s5 s3 s0 s5 s9 s9
s10 s5 s1 s9 s10 s8 s9
s11 s7 s6 s4 s8 s9 s6
If we are in state s8 and the input is d, what state will we be in next? | s0 |
68a514c0-fca9-41e5-84a0-c05309d886cf | 1f15b50b-0159-4b24-bafa-18f902b26cf1 | {"states": ["s0", "s1", "s2", "s3", "s4", "s6", "s7", "s8", "s9", "s10", "s11", "s12", "s13"], "alphabets": "abcdefghi", "accepting_states": ["s4", "s12", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s12"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s12"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s13"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s13"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s13"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s12"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s13"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s12"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "i", "toStates": ["s13"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "i", "toStates": ["s13"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "i", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s12", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s12", "symbol": "i", "toStates": ["s12"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s13", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s13", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s13", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s13", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s13", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s13", "symbol": "i", "toStates": ["s11"]}]} | 5 | {"a":{"s0":"s1","s1":"s12","s2":"s0","s3":"s12","s4":"s11","s6":"s12","s7":"s1","s8":"s1","s9":"s12","s10":"s11","s11":"s0","s12":"s0","s13":"s0"},"b":{"s0":"s13","s1":"s2","s2":"s11","s3":"s0","s4":"s6","s6":"s1","s7":"s0","s8":"s0","s9":"s10","s10":"s13","s11":"s9","s12":"s13","s13":"s7"},"c":{"s0":"s4","s1":"s9","s2":"s6","s3":"s3","s4":"s1","s6":"s6","s7":"s7","s8":"s1","s9":"s0","s10":"s8","s11":"s1","s12":"s1","s13":"s9"},"d":{"s0":"s13","s1":"s13","s2":"s9","s3":"s13","s4":"s6","s6":"s9","s7":"s1","s8":"s7","s9":"s0","s10":"s8","s11":"s7","s12":"s12","s13":"s12"},"e":{"s0":"s9","s1":"s9","s2":"s7","s3":"s7","s4":"s3","s6":"s4","s7":"s2","s8":"s4","s9":"s7","s10":"s0","s11":"s12","s12":"s7","s13":"s1"},"f":{"s0":"s10","s1":"s12","s2":"s4","s3":"s0","s4":"s4","s6":"s9","s7":"s3","s8":"s7","s9":"s8","s10":"s7","s11":"s4","s12":"s6","s13":"s11"},"g":{"s0":"s4","s1":"s12","s2":"s13","s3":"s9","s4":"s11","s6":"s9","s7":"s12","s8":"s8","s9":"s10","s10":"s1","s11":"s9","s12":"s8","s13":"s3"},"h":{"s0":"s9","s1":"s13","s2":"s3","s3":"s9","s4":"s11","s6":"s12","s7":"s7","s8":"s12","s9":"s8","s10":"s8","s11":"s10","s12":"s3","s13":"s0"},"i":{"s0":"s12","s1":"s3","s2":"s13","s3":"s0","s4":"s4","s6":"s3","s7":"s13","s8":"s4","s9":"s13","s10":"s13","s11":"s10","s12":"s12","s13":"s11"}} | Given the following FSM:
a b c d e f g h i
s0 s1 s13 s4 s13 s9 s10 s4 s9 s12
s1 s12 s2 s9 s13 s9 s12 s12 s13 s3
s2 s0 s11 s6 s9 s7 s4 s13 s3 s13
s3 s12 s0 s3 s13 s7 s0 s9 s9 s0
s4 s11 s6 s1 s6 s3 s4 s11 s11 s4
s6 s12 s1 s6 s9 s4 s9 s9 s12 s3
s7 s1 s0 s7 s1 s2 s3 s12 s7 s13
s8 s1 s0 s1 s7 s4 s7 s8 s12 s4
s9 s12 s10 s0 s0 s7 s8 s10 s8 s13
s10 s11 s13 s8 s8 s0 s7 s1 s8 s13
s11 s0 s9 s1 s7 s12 s4 s9 s10 s10
s12 s0 s13 s1 s12 s7 s6 s8 s3 s12
s13 s0 s7 s9 s12 s1 s11 s3 s0 s11
If we are in state s3 and the input is d, what state will we be in next? | s13 |
b4b123f0-a7f3-4e57-92eb-39d8a82fc12c | d10530a3-dcb9-416d-9803-5bc73bd3cbce | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abcdef", "accepting_states": ["s7", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s1"]}]} | 4 | {"a":{"s0":"s0","s1":"s7","s2":"s11","s3":"s9","s4":"s7","s5":"s1","s6":"s8","s7":"s3","s8":"s0","s9":"s1","s10":"s10","s11":"s5","s12":"s3"},"b":{"s0":"s10","s1":"s10","s2":"s11","s3":"s7","s4":"s10","s5":"s3","s6":"s8","s7":"s5","s8":"s3","s9":"s1","s10":"s6","s11":"s0","s12":"s12"},"c":{"s0":"s7","s1":"s12","s2":"s4","s3":"s12","s4":"s8","s5":"s4","s6":"s7","s7":"s1","s8":"s2","s9":"s6","s10":"s2","s11":"s11","s12":"s9"},"d":{"s0":"s0","s1":"s11","s2":"s9","s3":"s7","s4":"s3","s5":"s10","s6":"s0","s7":"s11","s8":"s11","s9":"s5","s10":"s4","s11":"s0","s12":"s6"},"e":{"s0":"s11","s1":"s12","s2":"s5","s3":"s0","s4":"s5","s5":"s9","s6":"s6","s7":"s6","s8":"s11","s9":"s3","s10":"s12","s11":"s3","s12":"s2"},"f":{"s0":"s10","s1":"s2","s2":"s9","s3":"s1","s4":"s4","s5":"s6","s6":"s7","s7":"s1","s8":"s1","s9":"s11","s10":"s0","s11":"s1","s12":"s1"}} | Given the following FSM:
a b c d e f
s0 s0 s10 s7 s0 s11 s10
s1 s7 s10 s12 s11 s12 s2
s2 s11 s11 s4 s9 s5 s9
s3 s9 s7 s12 s7 s0 s1
s4 s7 s10 s8 s3 s5 s4
s5 s1 s3 s4 s10 s9 s6
s6 s8 s8 s7 s0 s6 s7
s7 s3 s5 s1 s11 s6 s1
s8 s0 s3 s2 s11 s11 s1
s9 s1 s1 s6 s5 s3 s11
s10 s10 s6 s2 s4 s12 s0
s11 s5 s0 s11 s0 s3 s1
s12 s3 s12 s9 s6 s2 s1
If we are in state s0 and the input is b, what state will we be in next? | s10 |
1998772e-50b9-405c-b32f-aeb5ae4d3805 | bba086af-6c16-47e6-a0d4-be0cf770abf5 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcdefghi", "accepting_states": ["s5", "s6", "s10"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "i", "toStates": ["s8"]}]} | 5 | {"a":{"s0":"s4","s1":"s2","s2":"s10","s3":"s5","s4":"s1","s5":"s4","s6":"s10","s7":"s6","s8":"s6","s9":"s5","s10":"s2"},"b":{"s0":"s1","s1":"s6","s2":"s4","s3":"s1","s4":"s0","s5":"s5","s6":"s8","s7":"s8","s8":"s3","s9":"s1","s10":"s4"},"c":{"s0":"s4","s1":"s8","s2":"s8","s3":"s10","s4":"s2","s5":"s10","s6":"s8","s7":"s1","s8":"s2","s9":"s9","s10":"s9"},"d":{"s0":"s1","s1":"s10","s2":"s4","s3":"s0","s4":"s6","s5":"s8","s6":"s7","s7":"s7","s8":"s4","s9":"s6","s10":"s8"},"e":{"s0":"s9","s1":"s1","s2":"s9","s3":"s3","s4":"s3","s5":"s1","s6":"s6","s7":"s2","s8":"s0","s9":"s10","s10":"s7"},"f":{"s0":"s10","s1":"s1","s2":"s8","s3":"s7","s4":"s5","s5":"s9","s6":"s6","s7":"s10","s8":"s8","s9":"s5","s10":"s9"},"g":{"s0":"s1","s1":"s10","s2":"s1","s3":"s4","s4":"s2","s5":"s3","s6":"s0","s7":"s4","s8":"s1","s9":"s10","s10":"s5"},"h":{"s0":"s0","s1":"s4","s2":"s10","s3":"s2","s4":"s3","s5":"s6","s6":"s0","s7":"s8","s8":"s10","s9":"s9","s10":"s4"},"i":{"s0":"s6","s1":"s4","s2":"s10","s3":"s1","s4":"s10","s5":"s2","s6":"s1","s7":"s0","s8":"s3","s9":"s1","s10":"s8"}} | Given the following FSM:
a b c d e f g h i
s0 s4 s1 s4 s1 s9 s10 s1 s0 s6
s1 s2 s6 s8 s10 s1 s1 s10 s4 s4
s2 s10 s4 s8 s4 s9 s8 s1 s10 s10
s3 s5 s1 s10 s0 s3 s7 s4 s2 s1
s4 s1 s0 s2 s6 s3 s5 s2 s3 s10
s5 s4 s5 s10 s8 s1 s9 s3 s6 s2
s6 s10 s8 s8 s7 s6 s6 s0 s0 s1
s7 s6 s8 s1 s7 s2 s10 s4 s8 s0
s8 s6 s3 s2 s4 s0 s8 s1 s10 s3
s9 s5 s1 s9 s6 s10 s5 s10 s9 s1
s10 s2 s4 s9 s8 s7 s9 s5 s4 s8
If we are in state s5 and the input is d, what state will we be in next? | s8 |
3102a1f1-9a9d-4b6c-865a-b1dade8cd704 | df7876f3-fd9a-4736-ac6e-46c51417b452 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7"], "alphabets": "abcdefghij", "accepting_states": ["s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "j", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "j", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "j", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "j", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "j", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "j", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "j", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "j", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s7","s1":"s7","s2":"s2","s3":"s2","s4":"s7","s5":"s3","s6":"s6","s7":"s1"},"b":{"s0":"s7","s1":"s5","s2":"s5","s3":"s4","s4":"s1","s5":"s6","s6":"s7","s7":"s6"},"c":{"s0":"s2","s1":"s6","s2":"s2","s3":"s7","s4":"s3","s5":"s1","s6":"s3","s7":"s1"},"d":{"s0":"s5","s1":"s4","s2":"s4","s3":"s7","s4":"s7","s5":"s2","s6":"s0","s7":"s6"},"e":{"s0":"s4","s1":"s3","s2":"s3","s3":"s2","s4":"s1","s5":"s7","s6":"s6","s7":"s6"},"f":{"s0":"s4","s1":"s2","s2":"s7","s3":"s0","s4":"s7","s5":"s1","s6":"s6","s7":"s3"},"g":{"s0":"s0","s1":"s2","s2":"s1","s3":"s0","s4":"s2","s5":"s6","s6":"s1","s7":"s6"},"h":{"s0":"s7","s1":"s2","s2":"s4","s3":"s1","s4":"s7","s5":"s0","s6":"s0","s7":"s7"},"i":{"s0":"s7","s1":"s4","s2":"s0","s3":"s5","s4":"s2","s5":"s7","s6":"s2","s7":"s5"},"j":{"s0":"s2","s1":"s2","s2":"s6","s3":"s6","s4":"s7","s5":"s6","s6":"s7","s7":"s3"}} | Given the following FSM:
a b c d e f g h i j
s0 s7 s7 s2 s5 s4 s4 s0 s7 s7 s2
s1 s7 s5 s6 s4 s3 s2 s2 s2 s4 s2
s2 s2 s5 s2 s4 s3 s7 s1 s4 s0 s6
s3 s2 s4 s7 s7 s2 s0 s0 s1 s5 s6
s4 s7 s1 s3 s7 s1 s7 s2 s7 s2 s7
s5 s3 s6 s1 s2 s7 s1 s6 s0 s7 s6
s6 s6 s7 s3 s0 s6 s6 s1 s0 s2 s7
s7 s1 s6 s1 s6 s6 s3 s6 s7 s5 s3
If we are in state s1 and the input is c, what state will we be in next? | s6 |
f9cdb787-9fdd-42b0-b5c0-a1e81fa11840 | d97af691-5596-4b1b-a7aa-8d2703b93020 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11"], "alphabets": "abcdefghi", "accepting_states": ["s7", "s9", "s6", "s10", "s1", "s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "i", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "i", "toStates": ["s8"]}]} | 5 | {"a":{"s0":"s6","s1":"s7","s2":"s1","s3":"s3","s4":"s8","s5":"s9","s6":"s11","s7":"s10","s8":"s10","s9":"s8","s10":"s4","s11":"s1"},"b":{"s0":"s4","s1":"s10","s2":"s6","s3":"s11","s4":"s6","s5":"s6","s6":"s11","s7":"s6","s8":"s10","s9":"s3","s10":"s1","s11":"s7"},"c":{"s0":"s6","s1":"s4","s2":"s1","s3":"s0","s4":"s4","s5":"s7","s6":"s8","s7":"s8","s8":"s10","s9":"s8","s10":"s5","s11":"s0"},"d":{"s0":"s1","s1":"s6","s2":"s4","s3":"s7","s4":"s9","s5":"s10","s6":"s0","s7":"s2","s8":"s9","s9":"s5","s10":"s4","s11":"s2"},"e":{"s0":"s4","s1":"s0","s2":"s9","s3":"s1","s4":"s2","s5":"s7","s6":"s6","s7":"s8","s8":"s2","s9":"s1","s10":"s0","s11":"s5"},"f":{"s0":"s8","s1":"s0","s2":"s5","s3":"s7","s4":"s7","s5":"s0","s6":"s9","s7":"s11","s8":"s3","s9":"s9","s10":"s8","s11":"s11"},"g":{"s0":"s9","s1":"s7","s2":"s11","s3":"s0","s4":"s2","s5":"s6","s6":"s5","s7":"s7","s8":"s10","s9":"s7","s10":"s8","s11":"s9"},"h":{"s0":"s10","s1":"s3","s2":"s8","s3":"s5","s4":"s6","s5":"s6","s6":"s7","s7":"s7","s8":"s8","s9":"s3","s10":"s11","s11":"s3"},"i":{"s0":"s1","s1":"s1","s2":"s5","s3":"s11","s4":"s4","s5":"s10","s6":"s8","s7":"s6","s8":"s11","s9":"s0","s10":"s9","s11":"s8"}} | Given the following FSM:
a b c d e f g h i
s0 s6 s4 s6 s1 s4 s8 s9 s10 s1
s1 s7 s10 s4 s6 s0 s0 s7 s3 s1
s2 s1 s6 s1 s4 s9 s5 s11 s8 s5
s3 s3 s11 s0 s7 s1 s7 s0 s5 s11
s4 s8 s6 s4 s9 s2 s7 s2 s6 s4
s5 s9 s6 s7 s10 s7 s0 s6 s6 s10
s6 s11 s11 s8 s0 s6 s9 s5 s7 s8
s7 s10 s6 s8 s2 s8 s11 s7 s7 s6
s8 s10 s10 s10 s9 s2 s3 s10 s8 s11
s9 s8 s3 s8 s5 s1 s9 s7 s3 s0
s10 s4 s1 s5 s4 s0 s8 s8 s11 s9
s11 s1 s7 s0 s2 s5 s11 s9 s3 s8
If we are in state s11 and the input is a, what state will we be in next? | s1 |
d88abcfc-bbee-4d41-90f0-c57f4e5b3b31 | b81fe8a7-72b1-405e-9409-0e1b14203837 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11"], "alphabets": "abcdefgh", "accepting_states": ["s9", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s5"]}]} | 5 | {"a":{"s0":"s5","s1":"s6","s2":"s11","s3":"s3","s4":"s7","s5":"s5","s6":"s8","s7":"s7","s8":"s9","s9":"s2","s10":"s8","s11":"s1"},"b":{"s0":"s8","s1":"s6","s2":"s3","s3":"s1","s4":"s7","s5":"s9","s6":"s0","s7":"s4","s8":"s7","s9":"s9","s10":"s0","s11":"s3"},"c":{"s0":"s0","s1":"s6","s2":"s7","s3":"s7","s4":"s1","s5":"s4","s6":"s6","s7":"s9","s8":"s8","s9":"s8","s10":"s4","s11":"s11"},"d":{"s0":"s3","s1":"s10","s2":"s9","s3":"s10","s4":"s10","s5":"s9","s6":"s11","s7":"s11","s8":"s0","s9":"s3","s10":"s9","s11":"s6"},"e":{"s0":"s5","s1":"s8","s2":"s5","s3":"s10","s4":"s0","s5":"s11","s6":"s1","s7":"s1","s8":"s2","s9":"s10","s10":"s6","s11":"s3"},"f":{"s0":"s6","s1":"s9","s2":"s8","s3":"s10","s4":"s7","s5":"s5","s6":"s5","s7":"s10","s8":"s10","s9":"s5","s10":"s1","s11":"s5"},"g":{"s0":"s4","s1":"s8","s2":"s9","s3":"s9","s4":"s9","s5":"s9","s6":"s8","s7":"s3","s8":"s0","s9":"s2","s10":"s3","s11":"s9"},"h":{"s0":"s0","s1":"s6","s2":"s4","s3":"s0","s4":"s4","s5":"s1","s6":"s2","s7":"s4","s8":"s0","s9":"s11","s10":"s0","s11":"s5"}} | Given the following FSM:
a b c d e f g h
s0 s5 s8 s0 s3 s5 s6 s4 s0
s1 s6 s6 s6 s10 s8 s9 s8 s6
s2 s11 s3 s7 s9 s5 s8 s9 s4
s3 s3 s1 s7 s10 s10 s10 s9 s0
s4 s7 s7 s1 s10 s0 s7 s9 s4
s5 s5 s9 s4 s9 s11 s5 s9 s1
s6 s8 s0 s6 s11 s1 s5 s8 s2
s7 s7 s4 s9 s11 s1 s10 s3 s4
s8 s9 s7 s8 s0 s2 s10 s0 s0
s9 s2 s9 s8 s3 s10 s5 s2 s11
s10 s8 s0 s4 s9 s6 s1 s3 s0
s11 s1 s3 s11 s6 s3 s5 s9 s5
If we are in state s7 and the input is e, what state will we be in next? | s1 |
2ee882dd-436d-4160-b3a8-dc5d30172389 | 1bf7bdde-449b-45c2-afc0-250a8c22d74e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abcdefgh", "accepting_states": ["s3", "s9", "s1", "s6", "s12", "s8", "s7", "s0", "s4", "s10", "s2", "s11"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s12", "symbol": "h", "toStates": ["s0"]}]} | 5 | {"a":{"s0":"s0","s1":"s10","s2":"s11","s3":"s5","s4":"s3","s5":"s5","s6":"s4","s7":"s6","s8":"s10","s9":"s10","s10":"s8","s11":"s7","s12":"s10"},"b":{"s0":"s9","s1":"s5","s2":"s10","s3":"s0","s4":"s9","s5":"s6","s6":"s6","s7":"s4","s8":"s8","s9":"s6","s10":"s4","s11":"s5","s12":"s4"},"c":{"s0":"s2","s1":"s7","s2":"s1","s3":"s0","s4":"s4","s5":"s9","s6":"s4","s7":"s4","s8":"s6","s9":"s7","s10":"s9","s11":"s0","s12":"s0"},"d":{"s0":"s11","s1":"s11","s2":"s11","s3":"s8","s4":"s10","s5":"s6","s6":"s1","s7":"s6","s8":"s10","s9":"s5","s10":"s11","s11":"s12","s12":"s5"},"e":{"s0":"s8","s1":"s8","s2":"s3","s3":"s3","s4":"s3","s5":"s0","s6":"s8","s7":"s3","s8":"s3","s9":"s3","s10":"s0","s11":"s0","s12":"s6"},"f":{"s0":"s0","s1":"s11","s2":"s0","s3":"s4","s4":"s4","s5":"s12","s6":"s11","s7":"s2","s8":"s5","s9":"s8","s10":"s2","s11":"s8","s12":"s1"},"g":{"s0":"s0","s1":"s10","s2":"s0","s3":"s3","s4":"s7","s5":"s8","s6":"s8","s7":"s0","s8":"s5","s9":"s6","s10":"s11","s11":"s10","s12":"s2"},"h":{"s0":"s1","s1":"s1","s2":"s10","s3":"s4","s4":"s1","s5":"s1","s6":"s1","s7":"s0","s8":"s3","s9":"s4","s10":"s2","s11":"s3","s12":"s0"}} | Given the following FSM:
a b c d e f g h
s0 s0 s9 s2 s11 s8 s0 s0 s1
s1 s10 s5 s7 s11 s8 s11 s10 s1
s2 s11 s10 s1 s11 s3 s0 s0 s10
s3 s5 s0 s0 s8 s3 s4 s3 s4
s4 s3 s9 s4 s10 s3 s4 s7 s1
s5 s5 s6 s9 s6 s0 s12 s8 s1
s6 s4 s6 s4 s1 s8 s11 s8 s1
s7 s6 s4 s4 s6 s3 s2 s0 s0
s8 s10 s8 s6 s10 s3 s5 s5 s3
s9 s10 s6 s7 s5 s3 s8 s6 s4
s10 s8 s4 s9 s11 s0 s2 s11 s2
s11 s7 s5 s0 s12 s0 s8 s10 s3
s12 s10 s4 s0 s5 s6 s1 s2 s0
If we are in state s4 and the input is d, what state will we be in next? | s10 |
6add2705-f3c1-4420-bfeb-8204e8b358b0 | 2b1c166d-e2e3-4de7-8220-593f45efa506 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12", "s13"], "alphabets": "abcdefg", "accepting_states": ["s6", "s9", "s11", "s8", "s12", "s5", "s2", "s4", "s13", "s3", "s1", "s10", "s0", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s13"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s12"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s13"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s13"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s13"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s13"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s13", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s13", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s13", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s13", "symbol": "g", "toStates": ["s0"]}]} | 5 | {"a":{"s0":"s13","s1":"s1","s2":"s12","s3":"s9","s4":"s0","s5":"s9","s6":"s9","s7":"s5","s8":"s8","s9":"s7","s10":"s3","s11":"s8","s12":"s3","s13":"s3"},"b":{"s0":"s5","s1":"s4","s2":"s2","s3":"s11","s4":"s3","s5":"s3","s6":"s6","s7":"s8","s8":"s0","s9":"s5","s10":"s4","s11":"s2","s12":"s13","s13":"s12"},"c":{"s0":"s3","s1":"s6","s2":"s3","s3":"s2","s4":"s5","s5":"s5","s6":"s4","s7":"s7","s8":"s10","s9":"s3","s10":"s13","s11":"s7","s12":"s0","s13":"s11"},"d":{"s0":"s2","s1":"s8","s2":"s3","s3":"s12","s4":"s10","s5":"s3","s6":"s5","s7":"s4","s8":"s8","s9":"s11","s10":"s9","s11":"s12","s12":"s2","s13":"s6"},"e":{"s0":"s3","s1":"s8","s2":"s11","s3":"s1","s4":"s12","s5":"s12","s6":"s1","s7":"s1","s8":"s11","s9":"s12","s10":"s13","s11":"s9","s12":"s7","s13":"s3"},"f":{"s0":"s1","s1":"s1","s2":"s2","s3":"s12","s4":"s3","s5":"s10","s6":"s6","s7":"s2","s8":"s4","s9":"s10","s10":"s0","s11":"s13","s12":"s6","s13":"s12"},"g":{"s0":"s1","s1":"s7","s2":"s8","s3":"s0","s4":"s13","s5":"s10","s6":"s11","s7":"s12","s8":"s7","s9":"s13","s10":"s2","s11":"s0","s12":"s9","s13":"s0"}} | Given the following FSM:
a b c d e f g
s0 s13 s5 s3 s2 s3 s1 s1
s1 s1 s4 s6 s8 s8 s1 s7
s2 s12 s2 s3 s3 s11 s2 s8
s3 s9 s11 s2 s12 s1 s12 s0
s4 s0 s3 s5 s10 s12 s3 s13
s5 s9 s3 s5 s3 s12 s10 s10
s6 s9 s6 s4 s5 s1 s6 s11
s7 s5 s8 s7 s4 s1 s2 s12
s8 s8 s0 s10 s8 s11 s4 s7
s9 s7 s5 s3 s11 s12 s10 s13
s10 s3 s4 s13 s9 s13 s0 s2
s11 s8 s2 s7 s12 s9 s13 s0
s12 s3 s13 s0 s2 s7 s6 s9
s13 s3 s12 s11 s6 s3 s12 s0
If we are in state s0 and the input is d, what state will we be in next? | s2 |
e02c74a0-7d1f-4230-a430-d9ea95cdfe9f | 68a96c70-ca30-48e4-8448-ebb44e2b5a79 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11"], "alphabets": "abcdefghi", "accepting_states": ["s11", "s9", "s1", "s10", "s4", "s7", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "i", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "i", "toStates": ["s9"]}]} | 5 | {"a":{"s0":"s0","s1":"s9","s2":"s4","s3":"s9","s4":"s11","s5":"s6","s6":"s11","s7":"s7","s8":"s5","s9":"s3","s10":"s11","s11":"s4"},"b":{"s0":"s11","s1":"s11","s2":"s5","s3":"s4","s4":"s6","s5":"s10","s6":"s3","s7":"s11","s8":"s0","s9":"s3","s10":"s10","s11":"s7"},"c":{"s0":"s8","s1":"s9","s2":"s6","s3":"s2","s4":"s7","s5":"s8","s6":"s9","s7":"s10","s8":"s3","s9":"s0","s10":"s10","s11":"s4"},"d":{"s0":"s8","s1":"s5","s2":"s4","s3":"s0","s4":"s3","s5":"s10","s6":"s7","s7":"s2","s8":"s10","s9":"s4","s10":"s1","s11":"s6"},"e":{"s0":"s10","s1":"s4","s2":"s8","s3":"s5","s4":"s6","s5":"s11","s6":"s10","s7":"s4","s8":"s8","s9":"s6","s10":"s2","s11":"s7"},"f":{"s0":"s3","s1":"s8","s2":"s0","s3":"s6","s4":"s11","s5":"s6","s6":"s2","s7":"s6","s8":"s10","s9":"s2","s10":"s3","s11":"s7"},"g":{"s0":"s6","s1":"s8","s2":"s8","s3":"s0","s4":"s7","s5":"s7","s6":"s10","s7":"s10","s8":"s1","s9":"s6","s10":"s3","s11":"s2"},"h":{"s0":"s3","s1":"s2","s2":"s9","s3":"s9","s4":"s5","s5":"s2","s6":"s11","s7":"s8","s8":"s7","s9":"s1","s10":"s4","s11":"s1"},"i":{"s0":"s0","s1":"s4","s2":"s8","s3":"s7","s4":"s2","s5":"s11","s6":"s9","s7":"s3","s8":"s9","s9":"s10","s10":"s8","s11":"s9"}} | Given the following FSM:
a b c d e f g h i
s0 s0 s11 s8 s8 s10 s3 s6 s3 s0
s1 s9 s11 s9 s5 s4 s8 s8 s2 s4
s2 s4 s5 s6 s4 s8 s0 s8 s9 s8
s3 s9 s4 s2 s0 s5 s6 s0 s9 s7
s4 s11 s6 s7 s3 s6 s11 s7 s5 s2
s5 s6 s10 s8 s10 s11 s6 s7 s2 s11
s6 s11 s3 s9 s7 s10 s2 s10 s11 s9
s7 s7 s11 s10 s2 s4 s6 s10 s8 s3
s8 s5 s0 s3 s10 s8 s10 s1 s7 s9
s9 s3 s3 s0 s4 s6 s2 s6 s1 s10
s10 s11 s10 s10 s1 s2 s3 s3 s4 s8
s11 s4 s7 s4 s6 s7 s7 s2 s1 s9
If we are in state s7 and the input is i, what state will we be in next? | s3 |
f68eeec9-4502-44d8-8864-f477aa26d69f | dee22a7e-e138-4048-9c40-fb3a4c01176c | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcdefghi", "accepting_states": ["s4", "s7", "s1", "s3", "s9", "s5", "s8", "s6", "s0", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "i", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s7","s1":"s7","s2":"s4","s3":"s7","s4":"s7","s5":"s8","s6":"s0","s7":"s5","s8":"s3","s9":"s6"},"b":{"s0":"s0","s1":"s8","s2":"s6","s3":"s6","s4":"s6","s5":"s6","s6":"s1","s7":"s7","s8":"s7","s9":"s8"},"c":{"s0":"s7","s1":"s8","s2":"s9","s3":"s1","s4":"s0","s5":"s2","s6":"s1","s7":"s0","s8":"s1","s9":"s4"},"d":{"s0":"s0","s1":"s7","s2":"s4","s3":"s7","s4":"s3","s5":"s1","s6":"s0","s7":"s6","s8":"s7","s9":"s3"},"e":{"s0":"s3","s1":"s8","s2":"s3","s3":"s7","s4":"s0","s5":"s2","s6":"s4","s7":"s4","s8":"s4","s9":"s4"},"f":{"s0":"s8","s1":"s1","s2":"s8","s3":"s7","s4":"s9","s5":"s9","s6":"s7","s7":"s5","s8":"s9","s9":"s1"},"g":{"s0":"s7","s1":"s2","s2":"s6","s3":"s4","s4":"s9","s5":"s7","s6":"s5","s7":"s1","s8":"s5","s9":"s0"},"h":{"s0":"s8","s1":"s9","s2":"s4","s3":"s0","s4":"s6","s5":"s3","s6":"s5","s7":"s6","s8":"s7","s9":"s5"},"i":{"s0":"s3","s1":"s4","s2":"s6","s3":"s5","s4":"s9","s5":"s1","s6":"s4","s7":"s3","s8":"s3","s9":"s4"}} | Given the following FSM:
a b c d e f g h i
s0 s7 s0 s7 s0 s3 s8 s7 s8 s3
s1 s7 s8 s8 s7 s8 s1 s2 s9 s4
s2 s4 s6 s9 s4 s3 s8 s6 s4 s6
s3 s7 s6 s1 s7 s7 s7 s4 s0 s5
s4 s7 s6 s0 s3 s0 s9 s9 s6 s9
s5 s8 s6 s2 s1 s2 s9 s7 s3 s1
s6 s0 s1 s1 s0 s4 s7 s5 s5 s4
s7 s5 s7 s0 s6 s4 s5 s1 s6 s3
s8 s3 s7 s1 s7 s4 s9 s5 s7 s3
s9 s6 s8 s4 s3 s4 s1 s0 s5 s4
If we are in state s3 and the input is d, what state will we be in next? | s7 |
04a0b039-db0d-4e66-b728-58be54f5edd8 | 807fe3c6-d3d7-4f28-b7c6-5a2029468d32 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcdefghi", "accepting_states": ["s7", "s10", "s4", "s2", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "i", "toStates": ["s6"]}]} | 5 | {"a":{"s0":"s5","s1":"s6","s2":"s1","s3":"s10","s4":"s4","s5":"s7","s6":"s10","s7":"s5","s8":"s4","s9":"s10","s10":"s10"},"b":{"s0":"s6","s1":"s2","s2":"s1","s3":"s8","s4":"s10","s5":"s5","s6":"s0","s7":"s8","s8":"s3","s9":"s5","s10":"s5"},"c":{"s0":"s5","s1":"s0","s2":"s0","s3":"s0","s4":"s0","s5":"s10","s6":"s10","s7":"s9","s8":"s7","s9":"s9","s10":"s6"},"d":{"s0":"s0","s1":"s7","s2":"s9","s3":"s3","s4":"s1","s5":"s0","s6":"s10","s7":"s8","s8":"s6","s9":"s5","s10":"s2"},"e":{"s0":"s5","s1":"s1","s2":"s8","s3":"s8","s4":"s4","s5":"s0","s6":"s4","s7":"s0","s8":"s8","s9":"s5","s10":"s1"},"f":{"s0":"s10","s1":"s9","s2":"s3","s3":"s5","s4":"s8","s5":"s2","s6":"s2","s7":"s4","s8":"s0","s9":"s8","s10":"s5"},"g":{"s0":"s5","s1":"s2","s2":"s4","s3":"s7","s4":"s3","s5":"s2","s6":"s8","s7":"s1","s8":"s7","s9":"s7","s10":"s4"},"h":{"s0":"s7","s1":"s7","s2":"s5","s3":"s0","s4":"s5","s5":"s8","s6":"s9","s7":"s0","s8":"s3","s9":"s10","s10":"s1"},"i":{"s0":"s3","s1":"s2","s2":"s10","s3":"s8","s4":"s0","s5":"s5","s6":"s0","s7":"s2","s8":"s9","s9":"s0","s10":"s6"}} | Given the following FSM:
a b c d e f g h i
s0 s5 s6 s5 s0 s5 s10 s5 s7 s3
s1 s6 s2 s0 s7 s1 s9 s2 s7 s2
s2 s1 s1 s0 s9 s8 s3 s4 s5 s10
s3 s10 s8 s0 s3 s8 s5 s7 s0 s8
s4 s4 s10 s0 s1 s4 s8 s3 s5 s0
s5 s7 s5 s10 s0 s0 s2 s2 s8 s5
s6 s10 s0 s10 s10 s4 s2 s8 s9 s0
s7 s5 s8 s9 s8 s0 s4 s1 s0 s2
s8 s4 s3 s7 s6 s8 s0 s7 s3 s9
s9 s10 s5 s9 s5 s5 s8 s7 s10 s0
s10 s10 s5 s6 s2 s1 s5 s4 s1 s6
If we are in state s2 and the input is e, what state will we be in next? | s8 |
cdacfb41-3cff-4814-a60e-0d46130e564e | 3eb3a4bf-0ff2-4558-ba1b-35763cee0853 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12", "s13", "s14"], "alphabets": "abcdefgh", "accepting_states": ["s9", "s12", "s11", "s3", "s7", "s5", "s8", "s1", "s4", "s2", "s14", "s13", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s14"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s14"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s13"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s14"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s13"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s14"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s14"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s12", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s12", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s13", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s13", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s13", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s14", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s14", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s14", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s14", "symbol": "d", "toStates": ["s14"]}, {"fromState": "s14", "symbol": "e", "toStates": ["s13"]}, {"fromState": "s14", "symbol": "f", "toStates": ["s14"]}, {"fromState": "s14", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s14", "symbol": "h", "toStates": ["s0"]}]} | 5 | {"a":{"s0":"s1","s1":"s12","s2":"s8","s3":"s11","s4":"s9","s5":"s4","s6":"s4","s7":"s11","s8":"s10","s9":"s10","s10":"s3","s11":"s0","s12":"s8","s13":"s12","s14":"s2"},"b":{"s0":"s12","s1":"s4","s2":"s9","s3":"s5","s4":"s10","s5":"s12","s6":"s7","s7":"s10","s8":"s4","s9":"s2","s10":"s2","s11":"s7","s12":"s14","s13":"s5","s14":"s0"},"c":{"s0":"s2","s1":"s2","s2":"s14","s3":"s1","s4":"s4","s5":"s5","s6":"s1","s7":"s1","s8":"s1","s9":"s7","s10":"s11","s11":"s9","s12":"s3","s13":"s5","s14":"s2"},"d":{"s0":"s12","s1":"s0","s2":"s9","s3":"s3","s4":"s7","s5":"s6","s6":"s1","s7":"s10","s8":"s10","s9":"s13","s10":"s9","s11":"s8","s12":"s12","s13":"s3","s14":"s14"},"e":{"s0":"s12","s1":"s10","s2":"s9","s3":"s12","s4":"s8","s5":"s10","s6":"s5","s7":"s9","s8":"s10","s9":"s8","s10":"s14","s11":"s3","s12":"s8","s13":"s7","s14":"s13"},"f":{"s0":"s8","s1":"s11","s2":"s8","s3":"s1","s4":"s13","s5":"s0","s6":"s1","s7":"s13","s8":"s11","s9":"s7","s10":"s9","s11":"s10","s12":"s2","s13":"s3","s14":"s14"},"g":{"s0":"s10","s1":"s3","s2":"s4","s3":"s4","s4":"s0","s5":"s14","s6":"s6","s7":"s1","s8":"s9","s9":"s2","s10":"s10","s11":"s0","s12":"s0","s13":"s3","s14":"s7"},"h":{"s0":"s9","s1":"s1","s2":"s3","s3":"s14","s4":"s8","s5":"s6","s6":"s2","s7":"s1","s8":"s6","s9":"s6","s10":"s2","s11":"s4","s12":"s7","s13":"s3","s14":"s0"}} | Given the following FSM:
a b c d e f g h
s0 s1 s12 s2 s12 s12 s8 s10 s9
s1 s12 s4 s2 s0 s10 s11 s3 s1
s2 s8 s9 s14 s9 s9 s8 s4 s3
s3 s11 s5 s1 s3 s12 s1 s4 s14
s4 s9 s10 s4 s7 s8 s13 s0 s8
s5 s4 s12 s5 s6 s10 s0 s14 s6
s6 s4 s7 s1 s1 s5 s1 s6 s2
s7 s11 s10 s1 s10 s9 s13 s1 s1
s8 s10 s4 s1 s10 s10 s11 s9 s6
s9 s10 s2 s7 s13 s8 s7 s2 s6
s10 s3 s2 s11 s9 s14 s9 s10 s2
s11 s0 s7 s9 s8 s3 s10 s0 s4
s12 s8 s14 s3 s12 s8 s2 s0 s7
s13 s12 s5 s5 s3 s7 s3 s3 s3
s14 s2 s0 s2 s14 s13 s14 s7 s0
If we are in state s0 and the input is b, what state will we be in next? | s12 |
73302e50-6ebd-4d5c-89d4-eac1480d1ece | 02288fb1-e6ac-4ad2-88ac-eb76301b4232 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abcdefghi", "accepting_states": ["s2", "s1", "s12", "s5", "s9", "s11", "s7", "s10", "s0", "s4", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s12"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s12"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "i", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s12", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s12", "symbol": "i", "toStates": ["s6"]}]} | 5 | {"a":{"s0":"s12","s1":"s9","s2":"s10","s3":"s7","s4":"s5","s5":"s11","s6":"s4","s7":"s5","s8":"s7","s9":"s9","s10":"s3","s11":"s9","s12":"s6"},"b":{"s0":"s4","s1":"s2","s2":"s8","s3":"s10","s4":"s2","s5":"s10","s6":"s5","s7":"s9","s8":"s12","s9":"s12","s10":"s3","s11":"s10","s12":"s4"},"c":{"s0":"s3","s1":"s1","s2":"s9","s3":"s0","s4":"s7","s5":"s9","s6":"s8","s7":"s1","s8":"s10","s9":"s11","s10":"s10","s11":"s8","s12":"s7"},"d":{"s0":"s6","s1":"s3","s2":"s0","s3":"s9","s4":"s6","s5":"s2","s6":"s8","s7":"s2","s8":"s10","s9":"s9","s10":"s4","s11":"s11","s12":"s10"},"e":{"s0":"s10","s1":"s3","s2":"s0","s3":"s8","s4":"s12","s5":"s5","s6":"s1","s7":"s0","s8":"s9","s9":"s8","s10":"s1","s11":"s1","s12":"s11"},"f":{"s0":"s1","s1":"s1","s2":"s12","s3":"s0","s4":"s6","s5":"s9","s6":"s12","s7":"s11","s8":"s0","s9":"s6","s10":"s12","s11":"s1","s12":"s0"},"g":{"s0":"s6","s1":"s4","s2":"s4","s3":"s4","s4":"s11","s5":"s9","s6":"s7","s7":"s0","s8":"s11","s9":"s12","s10":"s10","s11":"s3","s12":"s5"},"h":{"s0":"s5","s1":"s7","s2":"s10","s3":"s10","s4":"s2","s5":"s12","s6":"s7","s7":"s8","s8":"s6","s9":"s5","s10":"s5","s11":"s2","s12":"s0"},"i":{"s0":"s8","s1":"s9","s2":"s2","s3":"s7","s4":"s8","s5":"s12","s6":"s7","s7":"s6","s8":"s1","s9":"s2","s10":"s11","s11":"s6","s12":"s6"}} | Given the following FSM:
a b c d e f g h i
s0 s12 s4 s3 s6 s10 s1 s6 s5 s8
s1 s9 s2 s1 s3 s3 s1 s4 s7 s9
s2 s10 s8 s9 s0 s0 s12 s4 s10 s2
s3 s7 s10 s0 s9 s8 s0 s4 s10 s7
s4 s5 s2 s7 s6 s12 s6 s11 s2 s8
s5 s11 s10 s9 s2 s5 s9 s9 s12 s12
s6 s4 s5 s8 s8 s1 s12 s7 s7 s7
s7 s5 s9 s1 s2 s0 s11 s0 s8 s6
s8 s7 s12 s10 s10 s9 s0 s11 s6 s1
s9 s9 s12 s11 s9 s8 s6 s12 s5 s2
s10 s3 s3 s10 s4 s1 s12 s10 s5 s11
s11 s9 s10 s8 s11 s1 s1 s3 s2 s6
s12 s6 s4 s7 s10 s11 s0 s5 s0 s6
If we are in state s1 and the input is i, what state will we be in next? | s9 |
13fd9b07-6e89-45fd-912f-ce6760f73935 | 9747988c-431d-4086-864e-60cac63408b5 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11"], "alphabets": "abcdefghi", "accepting_states": ["s1", "s7", "s6", "s8", "s4", "s0", "s10", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "i", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "i", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "i", "toStates": ["s3"]}]} | 5 | {"a":{"s0":"s1","s1":"s4","s2":"s3","s3":"s9","s4":"s1","s5":"s1","s6":"s6","s7":"s4","s8":"s4","s9":"s5","s10":"s0","s11":"s0"},"b":{"s0":"s8","s1":"s3","s2":"s11","s3":"s0","s4":"s9","s5":"s0","s6":"s11","s7":"s2","s8":"s5","s9":"s2","s10":"s7","s11":"s8"},"c":{"s0":"s6","s1":"s0","s2":"s0","s3":"s3","s4":"s0","s5":"s9","s6":"s11","s7":"s4","s8":"s4","s9":"s6","s10":"s7","s11":"s10"},"d":{"s0":"s9","s1":"s6","s2":"s5","s3":"s10","s4":"s5","s5":"s9","s6":"s2","s7":"s3","s8":"s3","s9":"s7","s10":"s5","s11":"s7"},"e":{"s0":"s2","s1":"s2","s2":"s2","s3":"s8","s4":"s2","s5":"s6","s6":"s6","s7":"s8","s8":"s7","s9":"s7","s10":"s9","s11":"s9"},"f":{"s0":"s9","s1":"s7","s2":"s1","s3":"s1","s4":"s1","s5":"s2","s6":"s9","s7":"s5","s8":"s0","s9":"s1","s10":"s5","s11":"s3"},"g":{"s0":"s6","s1":"s8","s2":"s7","s3":"s5","s4":"s3","s5":"s1","s6":"s4","s7":"s4","s8":"s1","s9":"s4","s10":"s9","s11":"s6"},"h":{"s0":"s3","s1":"s1","s2":"s11","s3":"s5","s4":"s4","s5":"s0","s6":"s9","s7":"s4","s8":"s3","s9":"s6","s10":"s4","s11":"s6"},"i":{"s0":"s1","s1":"s3","s2":"s5","s3":"s4","s4":"s10","s5":"s1","s6":"s2","s7":"s11","s8":"s1","s9":"s11","s10":"s11","s11":"s3"}} | Given the following FSM:
a b c d e f g h i
s0 s1 s8 s6 s9 s2 s9 s6 s3 s1
s1 s4 s3 s0 s6 s2 s7 s8 s1 s3
s2 s3 s11 s0 s5 s2 s1 s7 s11 s5
s3 s9 s0 s3 s10 s8 s1 s5 s5 s4
s4 s1 s9 s0 s5 s2 s1 s3 s4 s10
s5 s1 s0 s9 s9 s6 s2 s1 s0 s1
s6 s6 s11 s11 s2 s6 s9 s4 s9 s2
s7 s4 s2 s4 s3 s8 s5 s4 s4 s11
s8 s4 s5 s4 s3 s7 s0 s1 s3 s1
s9 s5 s2 s6 s7 s7 s1 s4 s6 s11
s10 s0 s7 s7 s5 s9 s5 s9 s4 s11
s11 s0 s8 s10 s7 s9 s3 s6 s6 s3
If we are in state s9 and the input is i, what state will we be in next? | s11 |
04f3bc03-8041-4113-8781-0c5fc4ffab6d | a27b0bbe-7934-4bcb-89a0-7ff15cb0ec07 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12", "s13", "s14"], "alphabets": "abcdefghi", "accepting_states": ["s5", "s12", "s9", "s3", "s2", "s13", "s8", "s1", "s0", "s7", "s10", "s6", "s14", "s11"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s12"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s13"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s14"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s12"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s13"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s14"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s13"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s14"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s13"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s14"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s14"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s14"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s14"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s14"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s14"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s14"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s14"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s14"]}, {"fromState": "s10", "symbol": "i", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s13"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s14"]}, {"fromState": "s11", "symbol": "i", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s12", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s12", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s12", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s13", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s13", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s13", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s13", "symbol": "g", "toStates": ["s14"]}, {"fromState": "s13", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s13", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s14", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s14", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s14", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s14", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s14", "symbol": "e", "toStates": ["s13"]}, {"fromState": "s14", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s14", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s14", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s14", "symbol": "i", "toStates": ["s9"]}]} | 5 | {"a":{"s0":"s6","s1":"s10","s2":"s1","s3":"s9","s4":"s5","s5":"s6","s6":"s11","s7":"s11","s8":"s5","s9":"s6","s10":"s4","s11":"s6","s12":"s11","s13":"s12","s14":"s8"},"b":{"s0":"s5","s1":"s2","s2":"s9","s3":"s6","s4":"s14","s5":"s7","s6":"s4","s7":"s13","s8":"s8","s9":"s5","s10":"s0","s11":"s3","s12":"s0","s13":"s9","s14":"s9"},"c":{"s0":"s4","s1":"s10","s2":"s7","s3":"s5","s4":"s5","s5":"s1","s6":"s10","s7":"s0","s8":"s6","s9":"s5","s10":"s4","s11":"s11","s12":"s7","s13":"s1","s14":"s0"},"d":{"s0":"s11","s1":"s10","s2":"s2","s3":"s10","s4":"s7","s5":"s14","s6":"s12","s7":"s6","s8":"s8","s9":"s12","s10":"s5","s11":"s10","s12":"s1","s13":"s13","s14":"s4"},"e":{"s0":"s6","s1":"s1","s2":"s6","s3":"s8","s4":"s13","s5":"s2","s6":"s12","s7":"s14","s8":"s14","s9":"s12","s10":"s11","s11":"s12","s12":"s5","s13":"s3","s14":"s13"},"f":{"s0":"s5","s1":"s13","s2":"s14","s3":"s12","s4":"s0","s5":"s11","s6":"s9","s7":"s14","s8":"s6","s9":"s8","s10":"s14","s11":"s0","s12":"s2","s13":"s7","s14":"s4"},"g":{"s0":"s4","s1":"s3","s2":"s8","s3":"s13","s4":"s1","s5":"s13","s6":"s0","s7":"s14","s8":"s14","s9":"s6","s10":"s14","s11":"s13","s12":"s0","s13":"s14","s14":"s10"},"h":{"s0":"s8","s1":"s6","s2":"s1","s3":"s3","s4":"s5","s5":"s6","s6":"s5","s7":"s9","s8":"s14","s9":"s2","s10":"s14","s11":"s14","s12":"s8","s13":"s1","s14":"s4"},"i":{"s0":"s12","s1":"s12","s2":"s12","s3":"s2","s4":"s3","s5":"s1","s6":"s5","s7":"s0","s8":"s8","s9":"s0","s10":"s9","s11":"s10","s12":"s1","s13":"s0","s14":"s9"}} | Given the following FSM:
a b c d e f g h i
s0 s6 s5 s4 s11 s6 s5 s4 s8 s12
s1 s10 s2 s10 s10 s1 s13 s3 s6 s12
s2 s1 s9 s7 s2 s6 s14 s8 s1 s12
s3 s9 s6 s5 s10 s8 s12 s13 s3 s2
s4 s5 s14 s5 s7 s13 s0 s1 s5 s3
s5 s6 s7 s1 s14 s2 s11 s13 s6 s1
s6 s11 s4 s10 s12 s12 s9 s0 s5 s5
s7 s11 s13 s0 s6 s14 s14 s14 s9 s0
s8 s5 s8 s6 s8 s14 s6 s14 s14 s8
s9 s6 s5 s5 s12 s12 s8 s6 s2 s0
s10 s4 s0 s4 s5 s11 s14 s14 s14 s9
s11 s6 s3 s11 s10 s12 s0 s13 s14 s10
s12 s11 s0 s7 s1 s5 s2 s0 s8 s1
s13 s12 s9 s1 s13 s3 s7 s14 s1 s0
s14 s8 s9 s0 s4 s13 s4 s10 s4 s9
If we are in state s6 and the input is h, what state will we be in next? | s5 |
b6c5b63d-3ed5-4b06-a2b7-7594ab5a1f25 | 41c97a48-0a8f-4afe-ab1a-10ddb5055c39 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcdefghij", "accepting_states": ["s8", "s5", "s1", "s4", "s0", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "j", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "j", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "j", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "j", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "j", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "j", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "j", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "j", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "j", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "j", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "j", "toStates": ["s7"]}]} | 5 | {"a":{"s0":"s2","s1":"s10","s2":"s2","s3":"s3","s4":"s1","s5":"s10","s6":"s4","s7":"s4","s8":"s3","s9":"s4","s10":"s6"},"b":{"s0":"s10","s1":"s0","s2":"s9","s3":"s7","s4":"s7","s5":"s8","s6":"s10","s7":"s9","s8":"s2","s9":"s2","s10":"s0"},"c":{"s0":"s9","s1":"s6","s2":"s5","s3":"s3","s4":"s6","s5":"s9","s6":"s6","s7":"s5","s8":"s4","s9":"s0","s10":"s0"},"d":{"s0":"s4","s1":"s1","s2":"s9","s3":"s10","s4":"s8","s5":"s5","s6":"s0","s7":"s10","s8":"s8","s9":"s10","s10":"s5"},"e":{"s0":"s2","s1":"s4","s2":"s10","s3":"s2","s4":"s1","s5":"s5","s6":"s10","s7":"s2","s8":"s6","s9":"s1","s10":"s5"},"f":{"s0":"s4","s1":"s7","s2":"s9","s3":"s1","s4":"s4","s5":"s9","s6":"s2","s7":"s7","s8":"s2","s9":"s1","s10":"s1"},"g":{"s0":"s9","s1":"s5","s2":"s0","s3":"s5","s4":"s4","s5":"s5","s6":"s7","s7":"s1","s8":"s9","s9":"s4","s10":"s6"},"h":{"s0":"s1","s1":"s7","s2":"s1","s3":"s4","s4":"s5","s5":"s2","s6":"s9","s7":"s6","s8":"s7","s9":"s9","s10":"s8"},"i":{"s0":"s3","s1":"s2","s2":"s5","s3":"s7","s4":"s9","s5":"s6","s6":"s3","s7":"s7","s8":"s1","s9":"s8","s10":"s4"},"j":{"s0":"s5","s1":"s0","s2":"s1","s3":"s10","s4":"s4","s5":"s4","s6":"s10","s7":"s1","s8":"s9","s9":"s9","s10":"s7"}} | Given the following FSM:
a b c d e f g h i j
s0 s2 s10 s9 s4 s2 s4 s9 s1 s3 s5
s1 s10 s0 s6 s1 s4 s7 s5 s7 s2 s0
s2 s2 s9 s5 s9 s10 s9 s0 s1 s5 s1
s3 s3 s7 s3 s10 s2 s1 s5 s4 s7 s10
s4 s1 s7 s6 s8 s1 s4 s4 s5 s9 s4
s5 s10 s8 s9 s5 s5 s9 s5 s2 s6 s4
s6 s4 s10 s6 s0 s10 s2 s7 s9 s3 s10
s7 s4 s9 s5 s10 s2 s7 s1 s6 s7 s1
s8 s3 s2 s4 s8 s6 s2 s9 s7 s1 s9
s9 s4 s2 s0 s10 s1 s1 s4 s9 s8 s9
s10 s6 s0 s0 s5 s5 s1 s6 s8 s4 s7
If we are in state s9 and the input is b, what state will we be in next? | s2 |
b9f63ea4-6e94-4e2b-a025-f434cf59aea8 | 4ba4cebe-00ef-4d84-b78b-c90816bf5985 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abcdefghij", "accepting_states": ["s6", "s5", "s10", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "j", "toStates": ["s12"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s12"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "j", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "j", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "j", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "j", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "j", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s12"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "j", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "j", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "j", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "j", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "j", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "j", "toStates": ["s0"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s12", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s12", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "j", "toStates": ["s12"]}]} | 5 | {"a":{"s0":"s5","s1":"s9","s2":"s5","s3":"s12","s4":"s4","s5":"s9","s6":"s5","s7":"s0","s8":"s0","s9":"s1","s10":"s4","s11":"s4","s12":"s0"},"b":{"s0":"s7","s1":"s3","s2":"s0","s3":"s10","s4":"s7","s5":"s2","s6":"s8","s7":"s7","s8":"s1","s9":"s5","s10":"s12","s11":"s0","s12":"s9"},"c":{"s0":"s4","s1":"s10","s2":"s4","s3":"s8","s4":"s9","s5":"s6","s6":"s6","s7":"s3","s8":"s7","s9":"s2","s10":"s11","s11":"s3","s12":"s1"},"d":{"s0":"s4","s1":"s10","s2":"s7","s3":"s2","s4":"s7","s5":"s10","s6":"s0","s7":"s3","s8":"s4","s9":"s5","s10":"s9","s11":"s1","s12":"s10"},"e":{"s0":"s7","s1":"s2","s2":"s5","s3":"s2","s4":"s6","s5":"s11","s6":"s2","s7":"s0","s8":"s4","s9":"s3","s10":"s8","s11":"s2","s12":"s7"},"f":{"s0":"s9","s1":"s10","s2":"s0","s3":"s1","s4":"s4","s5":"s4","s6":"s0","s7":"s10","s8":"s6","s9":"s6","s10":"s2","s11":"s11","s12":"s6"},"g":{"s0":"s8","s1":"s12","s2":"s5","s3":"s1","s4":"s5","s5":"s11","s6":"s3","s7":"s11","s8":"s9","s9":"s7","s10":"s0","s11":"s0","s12":"s7"},"h":{"s0":"s7","s1":"s9","s2":"s6","s3":"s1","s4":"s9","s5":"s1","s6":"s12","s7":"s2","s8":"s8","s9":"s9","s10":"s6","s11":"s11","s12":"s7"},"i":{"s0":"s2","s1":"s3","s2":"s10","s3":"s2","s4":"s6","s5":"s11","s6":"s11","s7":"s9","s8":"s2","s9":"s1","s10":"s1","s11":"s1","s12":"s6"},"j":{"s0":"s12","s1":"s10","s2":"s7","s3":"s0","s4":"s10","s5":"s6","s6":"s2","s7":"s2","s8":"s1","s9":"s8","s10":"s8","s11":"s0","s12":"s12"}} | Given the following FSM:
a b c d e f g h i j
s0 s5 s7 s4 s4 s7 s9 s8 s7 s2 s12
s1 s9 s3 s10 s10 s2 s10 s12 s9 s3 s10
s2 s5 s0 s4 s7 s5 s0 s5 s6 s10 s7
s3 s12 s10 s8 s2 s2 s1 s1 s1 s2 s0
s4 s4 s7 s9 s7 s6 s4 s5 s9 s6 s10
s5 s9 s2 s6 s10 s11 s4 s11 s1 s11 s6
s6 s5 s8 s6 s0 s2 s0 s3 s12 s11 s2
s7 s0 s7 s3 s3 s0 s10 s11 s2 s9 s2
s8 s0 s1 s7 s4 s4 s6 s9 s8 s2 s1
s9 s1 s5 s2 s5 s3 s6 s7 s9 s1 s8
s10 s4 s12 s11 s9 s8 s2 s0 s6 s1 s8
s11 s4 s0 s3 s1 s2 s11 s0 s11 s1 s0
s12 s0 s9 s1 s10 s7 s6 s7 s7 s6 s12
If we are in state s6 and the input is d, what state will we be in next? | s0 |
cc80f6c9-46d9-496d-b0b0-820dd3d4bb87 | aa509e1d-67f5-4760-8817-ee0e19affbfe | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12", "s13"], "alphabets": "abcdefgh", "accepting_states": ["s5", "s1", "s6", "s13", "s8", "s12", "s9", "s2", "s11", "s10", "s7", "s3", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s13"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s13"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s13"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s12"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s13"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s13"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s13"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s13"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s13"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s13"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s12", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s12", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s13", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s13", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s13", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s13", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s13", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s13", "symbol": "h", "toStates": ["s1"]}]} | 5 | {"a":{"s0":"s0","s1":"s8","s2":"s9","s3":"s5","s4":"s1","s5":"s12","s6":"s8","s7":"s9","s8":"s6","s9":"s11","s10":"s0","s11":"s8","s12":"s6","s13":"s8"},"b":{"s0":"s11","s1":"s10","s2":"s1","s3":"s13","s4":"s11","s5":"s13","s6":"s11","s7":"s11","s8":"s4","s9":"s5","s10":"s8","s11":"s2","s12":"s1","s13":"s7"},"c":{"s0":"s13","s1":"s7","s2":"s0","s3":"s4","s4":"s8","s5":"s13","s6":"s8","s7":"s2","s8":"s0","s9":"s8","s10":"s13","s11":"s9","s12":"s9","s13":"s7"},"d":{"s0":"s5","s1":"s2","s2":"s8","s3":"s13","s4":"s10","s5":"s1","s6":"s2","s7":"s0","s8":"s11","s9":"s11","s10":"s7","s11":"s8","s12":"s2","s13":"s1"},"e":{"s0":"s4","s1":"s4","s2":"s12","s3":"s13","s4":"s12","s5":"s0","s6":"s10","s7":"s5","s8":"s5","s9":"s8","s10":"s3","s11":"s5","s12":"s13","s13":"s6"},"f":{"s0":"s2","s1":"s13","s2":"s9","s3":"s1","s4":"s12","s5":"s12","s6":"s13","s7":"s1","s8":"s0","s9":"s4","s10":"s2","s11":"s9","s12":"s2","s13":"s6"},"g":{"s0":"s13","s1":"s12","s2":"s5","s3":"s6","s4":"s7","s5":"s6","s6":"s10","s7":"s4","s8":"s0","s9":"s1","s10":"s0","s11":"s0","s12":"s3","s13":"s8"},"h":{"s0":"s4","s1":"s2","s2":"s0","s3":"s11","s4":"s11","s5":"s3","s6":"s10","s7":"s4","s8":"s13","s9":"s5","s10":"s2","s11":"s8","s12":"s7","s13":"s1"}} | Given the following FSM:
a b c d e f g h
s0 s0 s11 s13 s5 s4 s2 s13 s4
s1 s8 s10 s7 s2 s4 s13 s12 s2
s2 s9 s1 s0 s8 s12 s9 s5 s0
s3 s5 s13 s4 s13 s13 s1 s6 s11
s4 s1 s11 s8 s10 s12 s12 s7 s11
s5 s12 s13 s13 s1 s0 s12 s6 s3
s6 s8 s11 s8 s2 s10 s13 s10 s10
s7 s9 s11 s2 s0 s5 s1 s4 s4
s8 s6 s4 s0 s11 s5 s0 s0 s13
s9 s11 s5 s8 s11 s8 s4 s1 s5
s10 s0 s8 s13 s7 s3 s2 s0 s2
s11 s8 s2 s9 s8 s5 s9 s0 s8
s12 s6 s1 s9 s2 s13 s2 s3 s7
s13 s8 s7 s7 s1 s6 s6 s8 s1
If we are in state s3 and the input is d, what state will we be in next? | s13 |
067c3c7b-6e91-42b7-bb52-c739d57c37e0 | 5f7cae07-aa42-4360-b563-5b89b9bb91f6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12", "s13"], "alphabets": "abcdefghi", "accepting_states": ["s5", "s11", "s6", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s13"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s2"]}, {"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": ["s9"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s13"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s12"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s13"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "i", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s13"]}, {"fromState": "s10", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s12", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s12", "symbol": "i", "toStates": ["s9"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s13", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s13", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s13", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s13", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s13", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s13", "symbol": "i", "toStates": ["s13"]}]} | 5 | {"a":{"s0":"s5","s1":"s7","s2":"s7","s3":"s0","s4":"s3","s5":"s0","s6":"s13","s7":"s8","s8":"s3","s9":"s13","s10":"s4","s11":"s2","s12":"s6","s13":"s6"},"b":{"s0":"s10","s1":"s4","s2":"s4","s3":"s9","s4":"s4","s5":"s5","s6":"s6","s7":"s2","s8":"s12","s9":"s8","s10":"s8","s11":"s11","s12":"s5","s13":"s11"},"c":{"s0":"s12","s1":"s10","s2":"s3","s3":"s7","s4":"s7","s5":"s5","s6":"s2","s7":"s4","s8":"s6","s9":"s12","s10":"s0","s11":"s5","s12":"s4","s13":"s1"},"d":{"s0":"s11","s1":"s5","s2":"s6","s3":"s0","s4":"s7","s5":"s5","s6":"s1","s7":"s0","s8":"s7","s9":"s2","s10":"s6","s11":"s13","s12":"s13","s13":"s3"},"e":{"s0":"s4","s1":"s7","s2":"s2","s3":"s0","s4":"s9","s5":"s9","s6":"s9","s7":"s5","s8":"s6","s9":"s10","s10":"s7","s11":"s4","s12":"s6","s13":"s9"},"f":{"s0":"s4","s1":"s7","s2":"s12","s3":"s4","s4":"s1","s5":"s2","s6":"s6","s7":"s5","s8":"s6","s9":"s6","s10":"s4","s11":"s0","s12":"s4","s13":"s5"},"g":{"s0":"s11","s1":"s3","s2":"s13","s3":"s0","s4":"s5","s5":"s7","s6":"s13","s7":"s3","s8":"s13","s9":"s3","s10":"s2","s11":"s9","s12":"s0","s13":"s2"},"h":{"s0":"s6","s1":"s3","s2":"s11","s3":"s2","s4":"s3","s5":"s0","s6":"s12","s7":"s9","s8":"s4","s9":"s1","s10":"s13","s11":"s8","s12":"s3","s13":"s2"},"i":{"s0":"s1","s1":"s2","s2":"s8","s3":"s7","s4":"s2","s5":"s0","s6":"s10","s7":"s8","s8":"s8","s9":"s9","s10":"s2","s11":"s2","s12":"s9","s13":"s13"}} | Given the following FSM:
a b c d e f g h i
s0 s5 s10 s12 s11 s4 s4 s11 s6 s1
s1 s7 s4 s10 s5 s7 s7 s3 s3 s2
s2 s7 s4 s3 s6 s2 s12 s13 s11 s8
s3 s0 s9 s7 s0 s0 s4 s0 s2 s7
s4 s3 s4 s7 s7 s9 s1 s5 s3 s2
s5 s0 s5 s5 s5 s9 s2 s7 s0 s0
s6 s13 s6 s2 s1 s9 s6 s13 s12 s10
s7 s8 s2 s4 s0 s5 s5 s3 s9 s8
s8 s3 s12 s6 s7 s6 s6 s13 s4 s8
s9 s13 s8 s12 s2 s10 s6 s3 s1 s9
s10 s4 s8 s0 s6 s7 s4 s2 s13 s2
s11 s2 s11 s5 s13 s4 s0 s9 s8 s2
s12 s6 s5 s4 s13 s6 s4 s0 s3 s9
s13 s6 s11 s1 s3 s9 s5 s2 s2 s13
If we are in state s12 and the input is f, what state will we be in next? | s4 |
0a64a3af-1b71-4aef-8433-7af0bc60643a | eb42a9db-3fe0-4492-b13b-bc829f26db95 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12", "s13", "s14"], "alphabets": "abcdefghi", "accepting_states": ["s13", "s5", "s0", "s14", "s12", "s1", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s13"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s14"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s13"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s14"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s13"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s13"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s12"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s13"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s14"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s14"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s13"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s12"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s14"]}, {"fromState": "s9", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s13"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "i", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "i", "toStates": ["s11"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s14"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "g", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s13", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s13", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s13", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s13", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s13", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s13", "symbol": "h", "toStates": ["s12"]}, {"fromState": "s13", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s14", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s14", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s14", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s14", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s14", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s14", "symbol": "f", "toStates": ["s13"]}, {"fromState": "s14", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s14", "symbol": "h", "toStates": ["s12"]}, {"fromState": "s14", "symbol": "i", "toStates": ["s7"]}]} | 5 | {"a":{"s0":"s3","s1":"s13","s2":"s2","s3":"s6","s4":"s2","s5":"s1","s6":"s0","s7":"s5","s8":"s11","s9":"s4","s10":"s10","s11":"s2","s12":"s6","s13":"s10","s14":"s0"},"b":{"s0":"s3","s1":"s14","s2":"s10","s3":"s11","s4":"s13","s5":"s9","s6":"s5","s7":"s10","s8":"s10","s9":"s8","s10":"s5","s11":"s3","s12":"s7","s13":"s5","s14":"s0"},"c":{"s0":"s10","s1":"s11","s2":"s6","s3":"s3","s4":"s5","s5":"s13","s6":"s5","s7":"s14","s8":"s4","s9":"s2","s10":"s13","s11":"s0","s12":"s4","s13":"s10","s14":"s0"},"d":{"s0":"s8","s1":"s9","s2":"s0","s3":"s2","s4":"s13","s5":"s13","s6":"s11","s7":"s6","s8":"s2","s9":"s6","s10":"s11","s11":"s5","s12":"s10","s13":"s8","s14":"s10"},"e":{"s0":"s11","s1":"s4","s2":"s9","s3":"s10","s4":"s5","s5":"s9","s6":"s11","s7":"s13","s8":"s10","s9":"s0","s10":"s6","s11":"s6","s12":"s14","s13":"s4","s14":"s7"},"f":{"s0":"s3","s1":"s11","s2":"s11","s3":"s5","s4":"s11","s5":"s2","s6":"s2","s7":"s10","s8":"s10","s9":"s4","s10":"s10","s11":"s7","s12":"s9","s13":"s8","s14":"s13"},"g":{"s0":"s4","s1":"s13","s2":"s13","s3":"s6","s4":"s5","s5":"s7","s6":"s10","s7":"s5","s8":"s12","s9":"s8","s10":"s9","s11":"s0","s12":"s12","s13":"s7","s14":"s7"},"h":{"s0":"s6","s1":"s4","s2":"s1","s3":"s4","s4":"s3","s5":"s3","s6":"s6","s7":"s11","s8":"s4","s9":"s14","s10":"s9","s11":"s7","s12":"s10","s13":"s12","s14":"s12"},"i":{"s0":"s13","s1":"s14","s2":"s9","s3":"s13","s4":"s12","s5":"s11","s6":"s14","s7":"s5","s8":"s8","s9":"s5","s10":"s9","s11":"s11","s12":"s2","s13":"s4","s14":"s7"}} | Given the following FSM:
a b c d e f g h i
s0 s3 s3 s10 s8 s11 s3 s4 s6 s13
s1 s13 s14 s11 s9 s4 s11 s13 s4 s14
s2 s2 s10 s6 s0 s9 s11 s13 s1 s9
s3 s6 s11 s3 s2 s10 s5 s6 s4 s13
s4 s2 s13 s5 s13 s5 s11 s5 s3 s12
s5 s1 s9 s13 s13 s9 s2 s7 s3 s11
s6 s0 s5 s5 s11 s11 s2 s10 s6 s14
s7 s5 s10 s14 s6 s13 s10 s5 s11 s5
s8 s11 s10 s4 s2 s10 s10 s12 s4 s8
s9 s4 s8 s2 s6 s0 s4 s8 s14 s5
s10 s10 s5 s13 s11 s6 s10 s9 s9 s9
s11 s2 s3 s0 s5 s6 s7 s0 s7 s11
s12 s6 s7 s4 s10 s14 s9 s12 s10 s2
s13 s10 s5 s10 s8 s4 s8 s7 s12 s4
s14 s0 s0 s0 s10 s7 s13 s7 s12 s7
If we are in state s13 and the input is a, what state will we be in next? | s10 |
bdd6e970-deb5-4e05-8c5a-61f4656a3e79 | 23453ebe-390d-465f-acdd-cea4cf87741e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11"], "alphabets": "abcdefghij", "accepting_states": ["s10", "s9", "s7", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "j", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "j", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "j", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "j", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "j", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "j", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "j", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "j", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "j", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "j", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "j", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "i", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "j", "toStates": ["s7"]}]} | 5 | {"a":{"s0":"s4","s1":"s10","s2":"s5","s3":"s7","s4":"s2","s5":"s9","s6":"s9","s7":"s7","s8":"s6","s9":"s9","s10":"s6","s11":"s6"},"b":{"s0":"s6","s1":"s4","s2":"s7","s3":"s3","s4":"s11","s5":"s1","s6":"s6","s7":"s6","s8":"s4","s9":"s10","s10":"s0","s11":"s4"},"c":{"s0":"s5","s1":"s5","s2":"s0","s3":"s0","s4":"s0","s5":"s0","s6":"s9","s7":"s7","s8":"s11","s9":"s5","s10":"s9","s11":"s9"},"d":{"s0":"s5","s1":"s8","s2":"s1","s3":"s5","s4":"s1","s5":"s1","s6":"s7","s7":"s2","s8":"s4","s9":"s8","s10":"s5","s11":"s8"},"e":{"s0":"s4","s1":"s1","s2":"s10","s3":"s2","s4":"s7","s5":"s1","s6":"s6","s7":"s8","s8":"s2","s9":"s1","s10":"s6","s11":"s6"},"f":{"s0":"s1","s1":"s6","s2":"s6","s3":"s0","s4":"s10","s5":"s1","s6":"s5","s7":"s0","s8":"s2","s9":"s11","s10":"s11","s11":"s2"},"g":{"s0":"s10","s1":"s8","s2":"s0","s3":"s11","s4":"s6","s5":"s9","s6":"s6","s7":"s5","s8":"s9","s9":"s10","s10":"s10","s11":"s6"},"h":{"s0":"s1","s1":"s3","s2":"s6","s3":"s0","s4":"s10","s5":"s2","s6":"s4","s7":"s8","s8":"s4","s9":"s1","s10":"s7","s11":"s5"},"i":{"s0":"s11","s1":"s3","s2":"s4","s3":"s0","s4":"s0","s5":"s11","s6":"s2","s7":"s2","s8":"s2","s9":"s1","s10":"s4","s11":"s9"},"j":{"s0":"s1","s1":"s11","s2":"s11","s3":"s6","s4":"s4","s5":"s11","s6":"s4","s7":"s8","s8":"s3","s9":"s8","s10":"s9","s11":"s7"}} | Given the following FSM:
a b c d e f g h i j
s0 s4 s6 s5 s5 s4 s1 s10 s1 s11 s1
s1 s10 s4 s5 s8 s1 s6 s8 s3 s3 s11
s2 s5 s7 s0 s1 s10 s6 s0 s6 s4 s11
s3 s7 s3 s0 s5 s2 s0 s11 s0 s0 s6
s4 s2 s11 s0 s1 s7 s10 s6 s10 s0 s4
s5 s9 s1 s0 s1 s1 s1 s9 s2 s11 s11
s6 s9 s6 s9 s7 s6 s5 s6 s4 s2 s4
s7 s7 s6 s7 s2 s8 s0 s5 s8 s2 s8
s8 s6 s4 s11 s4 s2 s2 s9 s4 s2 s3
s9 s9 s10 s5 s8 s1 s11 s10 s1 s1 s8
s10 s6 s0 s9 s5 s6 s11 s10 s7 s4 s9
s11 s6 s4 s9 s8 s6 s2 s6 s5 s9 s7
If we are in state s5 and the input is f, what state will we be in next? | s1 |
0025a4c9-1460-4f50-85ed-811d1b3524a2 | dcf4749a-2922-49bc-8827-19799ee80c38 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12", "s13", "s14"], "alphabets": "abcdefghij", "accepting_states": ["s11", "s13", "s8", "s1", "s2", "s10", "s0", "s7", "s5", "s12"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "j", "toStates": ["s14"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s13"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s14"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s13"]}, {"fromState": "s1", "symbol": "j", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "j", "toStates": ["s13"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s14"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s14"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "j", "toStates": ["s14"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s13"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "j", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s13"]}, {"fromState": "s5", "symbol": "j", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s14"]}, {"fromState": "s6", "symbol": "j", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s14"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s13"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s14"]}, {"fromState": "s7", "symbol": "j", "toStates": ["s14"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s14"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s13"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s12"]}, {"fromState": "s8", "symbol": "j", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "j", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s14"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s14"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s14"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "i", "toStates": ["s13"]}, {"fromState": "s10", "symbol": "j", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "i", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "j", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s14"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s12", "symbol": "j", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s13", "symbol": "c", "toStates": ["s13"]}, {"fromState": "s13", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s13", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s13", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s13", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s13", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s13", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s13", "symbol": "j", "toStates": ["s9"]}, {"fromState": "s14", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s14", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s14", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s14", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s14", "symbol": "e", "toStates": ["s14"]}, {"fromState": "s14", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s14", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s14", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s14", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s14", "symbol": "j", "toStates": ["s3"]}]} | 5 | {"a":{"s0":"s12","s1":"s6","s2":"s5","s3":"s9","s4":"s5","s5":"s1","s6":"s6","s7":"s6","s8":"s5","s9":"s6","s10":"s14","s11":"s3","s12":"s6","s13":"s12","s14":"s9"},"b":{"s0":"s0","s1":"s13","s2":"s3","s3":"s13","s4":"s4","s5":"s11","s6":"s7","s7":"s5","s8":"s5","s9":"s7","s10":"s2","s11":"s1","s12":"s1","s13":"s12","s14":"s12"},"c":{"s0":"s5","s1":"s13","s2":"s6","s3":"s5","s4":"s7","s5":"s2","s6":"s9","s7":"s12","s8":"s14","s9":"s1","s10":"s10","s11":"s7","s12":"s12","s13":"s13","s14":"s5"},"d":{"s0":"s4","s1":"s4","s2":"s10","s3":"s6","s4":"s13","s5":"s13","s6":"s13","s7":"s2","s8":"s0","s9":"s13","s10":"s14","s11":"s3","s12":"s9","s13":"s11","s14":"s7"},"e":{"s0":"s4","s1":"s3","s2":"s3","s3":"s10","s4":"s13","s5":"s7","s6":"s1","s7":"s14","s8":"s7","s9":"s7","s10":"s11","s11":"s8","s12":"s14","s13":"s5","s14":"s14"},"f":{"s0":"s0","s1":"s9","s2":"s11","s3":"s14","s4":"s11","s5":"s10","s6":"s6","s7":"s11","s8":"s13","s9":"s12","s10":"s0","s11":"s2","s12":"s5","s13":"s7","s14":"s5"},"g":{"s0":"s1","s1":"s3","s2":"s12","s3":"s14","s4":"s10","s5":"s6","s6":"s2","s7":"s13","s8":"s2","s9":"s8","s10":"s14","s11":"s0","s12":"s9","s13":"s2","s14":"s1"},"h":{"s0":"s2","s1":"s14","s2":"s8","s3":"s8","s4":"s5","s5":"s5","s6":"s10","s7":"s1","s8":"s8","s9":"s1","s10":"s4","s11":"s3","s12":"s6","s13":"s7","s14":"s1"},"i":{"s0":"s9","s1":"s13","s2":"s10","s3":"s7","s4":"s5","s5":"s13","s6":"s14","s7":"s14","s8":"s12","s9":"s3","s10":"s13","s11":"s7","s12":"s0","s13":"s1","s14":"s6"},"j":{"s0":"s14","s1":"s12","s2":"s13","s3":"s14","s4":"s9","s5":"s7","s6":"s5","s7":"s14","s8":"s12","s9":"s2","s10":"s1","s11":"s9","s12":"s3","s13":"s9","s14":"s3"}} | Given the following FSM:
a b c d e f g h i j
s0 s12 s0 s5 s4 s4 s0 s1 s2 s9 s14
s1 s6 s13 s13 s4 s3 s9 s3 s14 s13 s12
s2 s5 s3 s6 s10 s3 s11 s12 s8 s10 s13
s3 s9 s13 s5 s6 s10 s14 s14 s8 s7 s14
s4 s5 s4 s7 s13 s13 s11 s10 s5 s5 s9
s5 s1 s11 s2 s13 s7 s10 s6 s5 s13 s7
s6 s6 s7 s9 s13 s1 s6 s2 s10 s14 s5
s7 s6 s5 s12 s2 s14 s11 s13 s1 s14 s14
s8 s5 s5 s14 s0 s7 s13 s2 s8 s12 s12
s9 s6 s7 s1 s13 s7 s12 s8 s1 s3 s2
s10 s14 s2 s10 s14 s11 s0 s14 s4 s13 s1
s11 s3 s1 s7 s3 s8 s2 s0 s3 s7 s9
s12 s6 s1 s12 s9 s14 s5 s9 s6 s0 s3
s13 s12 s12 s13 s11 s5 s7 s2 s7 s1 s9
s14 s9 s12 s5 s7 s14 s5 s1 s1 s6 s3
If we are in state s11 and the input is c, what state will we be in next? | s7 |