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 |
---|---|---|---|---|---|---|
d3b4f62f-a69c-446a-8f07-2854e4b96a5a | bc8ce9b1-2b1f-4706-b1f3-ebbf4427603c | {"states": ["s0", "s1", "s2", "s3", "s5", "s7", "s10", "s12", "s13", "s14"], "alphabets": "ab", "accepting_states": ["s0", "s12", "s13", "s14", "s2", "s1", "s3", "s7", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s14"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s14"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s14"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s14", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s14", "symbol": "b", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s3","s1":"s13","s2":"s14","s3":"s1","s5":"s2","s7":"s0","s10":"s13","s12":"s14","s13":"s12","s14":"s0"},"b":{"s0":"s12","s1":"s1","s2":"s10","s3":"s5","s5":"s0","s7":"s1","s10":"s12","s12":"s14","s13":"s5","s14":"s7"}} | Given the following FSM:
a b
s0 s3 s12
s1 s13 s1
s2 s14 s10
s3 s1 s5
s5 s2 s0
s7 s0 s1
s10 s13 s12
s12 s14 s14
s13 s12 s5
s14 s0 s7
If we are in state s13 and the input is a, what state will we be in next? | s12 |
cb8ccaf1-81c9-4add-ad03-b013a3ee31d8 | 6a64440c-6dbd-4741-8cd8-70d20e20ffc5 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7"], "alphabets": "abcdefg", "accepting_states": ["s0", "s7", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"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": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s0","s1":"s5","s2":"s3","s3":"s7","s4":"s4","s5":"s4","s6":"s3","s7":"s4"},"b":{"s0":"s7","s1":"s7","s2":"s6","s3":"s1","s4":"s6","s5":"s4","s6":"s1","s7":"s0"},"c":{"s0":"s7","s1":"s0","s2":"s1","s3":"s1","s4":"s6","s5":"s1","s6":"s5","s7":"s6"},"d":{"s0":"s0","s1":"s3","s2":"s1","s3":"s4","s4":"s0","s5":"s2","s6":"s2","s7":"s7"},"e":{"s0":"s1","s1":"s1","s2":"s3","s3":"s7","s4":"s5","s5":"s1","s6":"s3","s7":"s6"},"f":{"s0":"s1","s1":"s6","s2":"s7","s3":"s4","s4":"s5","s5":"s6","s6":"s5","s7":"s6"},"g":{"s0":"s0","s1":"s1","s2":"s7","s3":"s1","s4":"s7","s5":"s1","s6":"s7","s7":"s4"}} | Given the following FSM:
a b c d e f g
s0 s0 s7 s7 s0 s1 s1 s0
s1 s5 s7 s0 s3 s1 s6 s1
s2 s3 s6 s1 s1 s3 s7 s7
s3 s7 s1 s1 s4 s7 s4 s1
s4 s4 s6 s6 s0 s5 s5 s7
s5 s4 s4 s1 s2 s1 s6 s1
s6 s3 s1 s5 s2 s3 s5 s7
s7 s4 s0 s6 s7 s6 s6 s4
If we are in state s1 and the input is g, what state will we be in next? | s1 |
c2c603e9-34ea-42e4-b114-559bdbe32441 | 294902b8-cc27-46da-b3f7-0a7cce28c1ed | {"states": ["s0", "s2", "s5", "s9", "s11"], "alphabets": "a", "accepting_states": ["s0", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s9"]}]} | 3 | {"a":{"s0":"s5","s2":"s11","s5":"s9","s9":"s2","s11":"s9"}} | Given the following FSM:
a
s0 s5
s2 s11
s5 s9
s9 s2
s11 s9
If we are in state s11 and the input is a, what state will we be in next? | s9 |
97c0d741-356c-43b0-8748-05de1469b8a8 | 686d8a07-9e5c-4f8a-a3a0-f52e2fc8dbd8 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7"], "alphabets": "ab", "accepting_states": ["s4", "s5", "s0", "s1", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s4","s1":"s6","s2":"s3","s3":"s1","s4":"s7","s5":"s0","s6":"s0","s7":"s4"},"b":{"s0":"s1","s1":"s2","s2":"s1","s3":"s7","s4":"s2","s5":"s6","s6":"s5","s7":"s3"}} | Given the following FSM:
a b
s0 s4 s1
s1 s6 s2
s2 s3 s1
s3 s1 s7
s4 s7 s2
s5 s0 s6
s6 s0 s5
s7 s4 s3
If we are in state s5 and the input is b, what state will we be in next? | s6 |
7263e9aa-b0d7-4a97-b6df-5946e3912c07 | 3524f47d-0ffd-4baa-8e56-ad89e41d849c | {"states": ["s0", "s1", "s2"], "alphabets": "abcd", "accepting_states": ["s2", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}]} | 2 | {"a":{"s0":"s2","s1":"s2","s2":"s1"},"b":{"s0":"s2","s1":"s2","s2":"s1"},"c":{"s0":"s1","s1":"s0","s2":"s2"},"d":{"s0":"s0","s1":"s2","s2":"s1"}} | Given the following FSM:
a b c d
s0 s2 s2 s1 s0
s1 s2 s2 s0 s2
s2 s1 s1 s2 s1
If we are in state s2 and the input is c, what state will we be in next? | s2 |
b50b78d8-c73f-4687-a105-f8c835bdd71b | b97fe36a-f54b-4824-925f-8f0a3efbf60b | {"states": ["s0", "s4", "s7"], "alphabets": "a", "accepting_states": ["s7", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}]} | 3 | {"a":{"s0":"s4","s4":"s7","s7":"s0"}} | Given the following FSM:
a
s0 s4
s4 s7
s7 s0
If we are in state s0 and the input is a, what state will we be in next? | s4 |
dbe05484-9e9b-41a9-b5a7-c58bd68edecf | 460526c9-13f1-432b-b173-e679c3898bea | {"states": ["s0", "s1", "s2", "s3"], "alphabets": "abcd", "accepting_states": ["s3", "s2", "s1"], "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": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}]} | 2 | {"a":{"s0":"s0","s1":"s2","s2":"s3","s3":"s0"},"b":{"s0":"s0","s1":"s3","s2":"s0","s3":"s0"},"c":{"s0":"s3","s1":"s1","s2":"s2","s3":"s2"},"d":{"s0":"s2","s1":"s0","s2":"s1","s3":"s0"}} | Given the following FSM:
a b c d
s0 s0 s0 s3 s2
s1 s2 s3 s1 s0
s2 s3 s0 s2 s1
s3 s0 s0 s2 s0
If we are in state s1 and the input is d, what state will we be in next? | s0 |
fa6859a2-8f5b-4f24-b9cf-11ca0dc39faa | 49d64e21-57bb-43bb-b8e6-37e8acc410c8 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abcd", "accepting_states": ["s4", "s0", "s10", "s2", "s5", "s8", "s12", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s2"]}]} | 4 | {"a":{"s0":"s5","s1":"s4","s2":"s0","s3":"s8","s4":"s6","s5":"s4","s6":"s2","s7":"s9","s8":"s5","s9":"s7","s10":"s2","s11":"s0","s12":"s12"},"b":{"s0":"s5","s1":"s9","s2":"s8","s3":"s5","s4":"s4","s5":"s3","s6":"s10","s7":"s2","s8":"s9","s9":"s2","s10":"s6","s11":"s7","s12":"s6"},"c":{"s0":"s4","s1":"s5","s2":"s11","s3":"s7","s4":"s5","s5":"s0","s6":"s4","s7":"s1","s8":"s6","s9":"s3","s10":"s0","s11":"s8","s12":"s5"},"d":{"s0":"s11","s1":"s2","s2":"s8","s3":"s2","s4":"s12","s5":"s0","s6":"s2","s7":"s5","s8":"s7","s9":"s7","s10":"s10","s11":"s11","s12":"s2"}} | Given the following FSM:
a b c d
s0 s5 s5 s4 s11
s1 s4 s9 s5 s2
s2 s0 s8 s11 s8
s3 s8 s5 s7 s2
s4 s6 s4 s5 s12
s5 s4 s3 s0 s0
s6 s2 s10 s4 s2
s7 s9 s2 s1 s5
s8 s5 s9 s6 s7
s9 s7 s2 s3 s7
s10 s2 s6 s0 s10
s11 s0 s7 s8 s11
s12 s12 s6 s5 s2
If we are in state s10 and the input is d, what state will we be in next? | s10 |
e2741979-75fd-4713-a8f7-890c90347eac | df0ed056-3083-49d4-adbd-fe3ce8470b01 | {"states": ["s0", "s1", "s2", "s3"], "alphabets": "abc", "accepting_states": ["s3", "s2", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}]} | 2 | {"a":{"s0":"s1","s1":"s3","s2":"s2","s3":"s0"},"b":{"s0":"s2","s1":"s1","s2":"s1","s3":"s3"},"c":{"s0":"s3","s1":"s1","s2":"s0","s3":"s2"}} | Given the following FSM:
a b c
s0 s1 s2 s3
s1 s3 s1 s1
s2 s2 s1 s0
s3 s0 s3 s2
If we are in state s2 and the input is c, what state will we be in next? | s0 |
c870c80f-1866-41de-89b4-dd9aa2363b79 | 10ceb148-ebbb-4d89-b23a-e325445ee3ad | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcdefghij", "accepting_states": ["s4", "s3", "s9", "s5", "s6", "s2", "s0", "s7", "s1", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "j", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "j", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "j", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "j", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "j", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "j", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "j", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "j", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "j", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "j", "toStates": ["s1"]}]} | 5 | {"a":{"s0":"s9","s1":"s2","s2":"s0","s3":"s7","s4":"s6","s5":"s1","s6":"s9","s7":"s4","s8":"s8","s9":"s0"},"b":{"s0":"s0","s1":"s9","s2":"s1","s3":"s8","s4":"s7","s5":"s4","s6":"s4","s7":"s5","s8":"s6","s9":"s1"},"c":{"s0":"s8","s1":"s3","s2":"s0","s3":"s1","s4":"s1","s5":"s5","s6":"s9","s7":"s1","s8":"s8","s9":"s2"},"d":{"s0":"s0","s1":"s3","s2":"s1","s3":"s5","s4":"s0","s5":"s4","s6":"s6","s7":"s4","s8":"s2","s9":"s8"},"e":{"s0":"s0","s1":"s9","s2":"s9","s3":"s7","s4":"s0","s5":"s2","s6":"s8","s7":"s3","s8":"s1","s9":"s3"},"f":{"s0":"s5","s1":"s9","s2":"s7","s3":"s3","s4":"s1","s5":"s9","s6":"s3","s7":"s0","s8":"s0","s9":"s4"},"g":{"s0":"s4","s1":"s0","s2":"s4","s3":"s8","s4":"s5","s5":"s6","s6":"s4","s7":"s0","s8":"s8","s9":"s2"},"h":{"s0":"s7","s1":"s2","s2":"s2","s3":"s4","s4":"s5","s5":"s6","s6":"s6","s7":"s6","s8":"s4","s9":"s5"},"i":{"s0":"s6","s1":"s4","s2":"s1","s3":"s7","s4":"s4","s5":"s8","s6":"s8","s7":"s8","s8":"s2","s9":"s2"},"j":{"s0":"s6","s1":"s4","s2":"s6","s3":"s0","s4":"s2","s5":"s1","s6":"s0","s7":"s5","s8":"s1","s9":"s1"}} | Given the following FSM:
a b c d e f g h i j
s0 s9 s0 s8 s0 s0 s5 s4 s7 s6 s6
s1 s2 s9 s3 s3 s9 s9 s0 s2 s4 s4
s2 s0 s1 s0 s1 s9 s7 s4 s2 s1 s6
s3 s7 s8 s1 s5 s7 s3 s8 s4 s7 s0
s4 s6 s7 s1 s0 s0 s1 s5 s5 s4 s2
s5 s1 s4 s5 s4 s2 s9 s6 s6 s8 s1
s6 s9 s4 s9 s6 s8 s3 s4 s6 s8 s0
s7 s4 s5 s1 s4 s3 s0 s0 s6 s8 s5
s8 s8 s6 s8 s2 s1 s0 s8 s4 s2 s1
s9 s0 s1 s2 s8 s3 s4 s2 s5 s2 s1
If we are in state s1 and the input is f, what state will we be in next? | s9 |
2d88a47f-b5dc-4577-ba68-b231a22b14ec | 71d4ba95-e0c4-4f93-9c61-2ce03b9f68fa | {"states": ["s0", "s1", "s3", "s4"], "alphabets": "ab", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}]} | 2 | {"a":{"s0":"s3","s1":"s1","s3":"s4","s4":"s1"},"b":{"s0":"s0","s1":"s1","s3":"s4","s4":"s3"}} | Given the following FSM:
a b
s0 s3 s0
s1 s1 s1
s3 s4 s4
s4 s1 s3
If we are in state s0 and the input is b, what state will we be in next? | s0 |
4315e156-fa3b-4f3c-8fcd-00aa4fb5412a | 62f25970-e802-41ca-887e-64b11878e44a | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s7", "s6", "s9", "s3", "s4", "s1", "s5", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s9","s1":"s7","s2":"s1","s3":"s2","s4":"s8","s5":"s9","s6":"s6","s7":"s1","s8":"s1","s9":"s4"},"b":{"s0":"s6","s1":"s8","s2":"s2","s3":"s2","s4":"s2","s5":"s7","s6":"s3","s7":"s4","s8":"s9","s9":"s4"},"c":{"s0":"s2","s1":"s4","s2":"s1","s3":"s6","s4":"s5","s5":"s3","s6":"s8","s7":"s5","s8":"s9","s9":"s2"},"d":{"s0":"s9","s1":"s3","s2":"s3","s3":"s8","s4":"s4","s5":"s0","s6":"s6","s7":"s2","s8":"s5","s9":"s6"}} | Given the following FSM:
a b c d
s0 s9 s6 s2 s9
s1 s7 s8 s4 s3
s2 s1 s2 s1 s3
s3 s2 s2 s6 s8
s4 s8 s2 s5 s4
s5 s9 s7 s3 s0
s6 s6 s3 s8 s6
s7 s1 s4 s5 s2
s8 s1 s9 s9 s5
s9 s4 s4 s2 s6
If we are in state s0 and the input is b, what state will we be in next? | s6 |
16f8d868-5139-4512-b0f1-adfcad0fbb1e | f765d14c-5e60-43c9-a0bb-c41e4254f76e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefghij", "accepting_states": ["s1", "s4", "s0", "s6", "s5", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "j", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "j", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "j", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "j", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "j", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "j", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "j", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "j", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "j", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s7","s1":"s0","s2":"s8","s3":"s6","s4":"s6","s5":"s1","s6":"s6","s7":"s2","s8":"s0"},"b":{"s0":"s0","s1":"s1","s2":"s0","s3":"s3","s4":"s8","s5":"s6","s6":"s2","s7":"s6","s8":"s0"},"c":{"s0":"s0","s1":"s4","s2":"s2","s3":"s4","s4":"s0","s5":"s4","s6":"s4","s7":"s1","s8":"s4"},"d":{"s0":"s6","s1":"s6","s2":"s0","s3":"s3","s4":"s6","s5":"s5","s6":"s7","s7":"s7","s8":"s5"},"e":{"s0":"s4","s1":"s2","s2":"s2","s3":"s3","s4":"s6","s5":"s6","s6":"s1","s7":"s2","s8":"s6"},"f":{"s0":"s4","s1":"s4","s2":"s5","s3":"s6","s4":"s8","s5":"s2","s6":"s7","s7":"s4","s8":"s8"},"g":{"s0":"s6","s1":"s1","s2":"s0","s3":"s0","s4":"s5","s5":"s5","s6":"s3","s7":"s3","s8":"s4"},"h":{"s0":"s0","s1":"s4","s2":"s0","s3":"s4","s4":"s2","s5":"s2","s6":"s8","s7":"s2","s8":"s5"},"i":{"s0":"s5","s1":"s6","s2":"s3","s3":"s5","s4":"s8","s5":"s5","s6":"s2","s7":"s5","s8":"s2"},"j":{"s0":"s3","s1":"s7","s2":"s2","s3":"s3","s4":"s5","s5":"s8","s6":"s1","s7":"s1","s8":"s8"}} | Given the following FSM:
a b c d e f g h i j
s0 s7 s0 s0 s6 s4 s4 s6 s0 s5 s3
s1 s0 s1 s4 s6 s2 s4 s1 s4 s6 s7
s2 s8 s0 s2 s0 s2 s5 s0 s0 s3 s2
s3 s6 s3 s4 s3 s3 s6 s0 s4 s5 s3
s4 s6 s8 s0 s6 s6 s8 s5 s2 s8 s5
s5 s1 s6 s4 s5 s6 s2 s5 s2 s5 s8
s6 s6 s2 s4 s7 s1 s7 s3 s8 s2 s1
s7 s2 s6 s1 s7 s2 s4 s3 s2 s5 s1
s8 s0 s0 s4 s5 s6 s8 s4 s5 s2 s8
If we are in state s1 and the input is b, what state will we be in next? | s1 |
ddfcce74-922a-4cca-bdaa-3f62f0ceebd3 | 20644e3d-adb5-4c00-a3af-209cb3fdaaec | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7"], "alphabets": "abcdef", "accepting_states": ["s2", "s6", "s0", "s4", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s4","s1":"s2","s2":"s6","s3":"s0","s4":"s0","s5":"s7","s6":"s2","s7":"s0"},"b":{"s0":"s0","s1":"s0","s2":"s3","s3":"s4","s4":"s5","s5":"s1","s6":"s0","s7":"s0"},"c":{"s0":"s4","s1":"s4","s2":"s4","s3":"s0","s4":"s0","s5":"s3","s6":"s2","s7":"s0"},"d":{"s0":"s4","s1":"s7","s2":"s6","s3":"s7","s4":"s2","s5":"s4","s6":"s6","s7":"s5"},"e":{"s0":"s2","s1":"s0","s2":"s4","s3":"s7","s4":"s6","s5":"s4","s6":"s2","s7":"s3"},"f":{"s0":"s3","s1":"s2","s2":"s5","s3":"s1","s4":"s5","s5":"s3","s6":"s1","s7":"s2"}} | Given the following FSM:
a b c d e f
s0 s4 s0 s4 s4 s2 s3
s1 s2 s0 s4 s7 s0 s2
s2 s6 s3 s4 s6 s4 s5
s3 s0 s4 s0 s7 s7 s1
s4 s0 s5 s0 s2 s6 s5
s5 s7 s1 s3 s4 s4 s3
s6 s2 s0 s2 s6 s2 s1
s7 s0 s0 s0 s5 s3 s2
If we are in state s0 and the input is f, what state will we be in next? | s3 |
bd7b7a83-8bdf-4b8d-96f0-0d81c1c0971d | 5778c261-18e5-4ba9-b799-5cc330f24212 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12", "s13", "s14"], "alphabets": "abc", "accepting_states": ["s4", "s8", "s14", "s2", "s7", "s0", "s12"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s13"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s13"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s14"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s13", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s14", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s14", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s14", "symbol": "c", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s8","s1":"s7","s2":"s2","s3":"s6","s4":"s3","s5":"s1","s6":"s12","s7":"s14","s8":"s13","s9":"s0","s10":"s0","s11":"s13","s12":"s6","s13":"s4","s14":"s8"},"b":{"s0":"s9","s1":"s8","s2":"s4","s3":"s8","s4":"s2","s5":"s13","s6":"s10","s7":"s5","s8":"s6","s9":"s10","s10":"s7","s11":"s12","s12":"s7","s13":"s1","s14":"s1"},"c":{"s0":"s7","s1":"s10","s2":"s11","s3":"s0","s4":"s13","s5":"s5","s6":"s13","s7":"s12","s8":"s10","s9":"s12","s10":"s3","s11":"s6","s12":"s0","s13":"s6","s14":"s7"}} | Given the following FSM:
a b c
s0 s8 s9 s7
s1 s7 s8 s10
s2 s2 s4 s11
s3 s6 s8 s0
s4 s3 s2 s13
s5 s1 s13 s5
s6 s12 s10 s13
s7 s14 s5 s12
s8 s13 s6 s10
s9 s0 s10 s12
s10 s0 s7 s3
s11 s13 s12 s6
s12 s6 s7 s0
s13 s4 s1 s6
s14 s8 s1 s7
If we are in state s10 and the input is a, what state will we be in next? | s0 |
bd47beb7-a31b-4bc8-bbef-444fb4cdc949 | 389c1a2a-9525-4065-9ed5-7d837fd41b01 | {"states": ["s0", "s5", "s6"], "alphabets": "a", "accepting_states": ["s6", "s5", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}]} | 2 | {"a":{"s0":"s6","s5":"s0","s6":"s5"}} | Given the following FSM:
a
s0 s6
s5 s0
s6 s5
If we are in state s0 and the input is a, what state will we be in next? | s6 |
6285260d-d048-4464-a7ca-5cd8b78d93ca | b7b2eb1a-33b3-421f-8198-21071d791fa4 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11"], "alphabets": "abcdef", "accepting_states": ["s2", "s7", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s9","s1":"s7","s2":"s0","s3":"s7","s4":"s2","s5":"s2","s6":"s0","s7":"s11","s8":"s2","s9":"s4","s10":"s1","s11":"s4"},"b":{"s0":"s3","s1":"s9","s2":"s11","s3":"s1","s4":"s0","s5":"s4","s6":"s2","s7":"s11","s8":"s1","s9":"s7","s10":"s7","s11":"s3"},"c":{"s0":"s6","s1":"s2","s2":"s1","s3":"s1","s4":"s7","s5":"s2","s6":"s1","s7":"s5","s8":"s9","s9":"s6","s10":"s1","s11":"s2"},"d":{"s0":"s5","s1":"s4","s2":"s11","s3":"s0","s4":"s7","s5":"s8","s6":"s10","s7":"s6","s8":"s8","s9":"s9","s10":"s11","s11":"s1"},"e":{"s0":"s11","s1":"s5","s2":"s8","s3":"s9","s4":"s9","s5":"s0","s6":"s11","s7":"s6","s8":"s8","s9":"s2","s10":"s3","s11":"s7"},"f":{"s0":"s3","s1":"s3","s2":"s8","s3":"s10","s4":"s10","s5":"s8","s6":"s2","s7":"s7","s8":"s6","s9":"s9","s10":"s7","s11":"s3"}} | Given the following FSM:
a b c d e f
s0 s9 s3 s6 s5 s11 s3
s1 s7 s9 s2 s4 s5 s3
s2 s0 s11 s1 s11 s8 s8
s3 s7 s1 s1 s0 s9 s10
s4 s2 s0 s7 s7 s9 s10
s5 s2 s4 s2 s8 s0 s8
s6 s0 s2 s1 s10 s11 s2
s7 s11 s11 s5 s6 s6 s7
s8 s2 s1 s9 s8 s8 s6
s9 s4 s7 s6 s9 s2 s9
s10 s1 s7 s1 s11 s3 s7
s11 s4 s3 s2 s1 s7 s3
If we are in state s10 and the input is a, what state will we be in next? | s1 |
9de1a192-4f23-435d-9cc5-eba6f9e22fdf | 8d2909a6-05c3-4ba7-9409-6dac8651f080 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11"], "alphabets": "abcdef", "accepting_states": ["s3", "s2", "s0", "s1", "s11", "s7", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s8"]}]} | 4 | {"a":{"s0":"s5","s1":"s5","s2":"s4","s3":"s6","s4":"s7","s5":"s7","s6":"s9","s7":"s4","s8":"s9","s9":"s1","s10":"s11","s11":"s9"},"b":{"s0":"s7","s1":"s6","s2":"s0","s3":"s6","s4":"s10","s5":"s2","s6":"s8","s7":"s11","s8":"s9","s9":"s5","s10":"s6","s11":"s8"},"c":{"s0":"s10","s1":"s8","s2":"s1","s3":"s2","s4":"s9","s5":"s7","s6":"s8","s7":"s8","s8":"s5","s9":"s8","s10":"s2","s11":"s7"},"d":{"s0":"s6","s1":"s5","s2":"s5","s3":"s3","s4":"s1","s5":"s5","s6":"s1","s7":"s6","s8":"s5","s9":"s7","s10":"s5","s11":"s8"},"e":{"s0":"s7","s1":"s9","s2":"s2","s3":"s9","s4":"s4","s5":"s11","s6":"s6","s7":"s5","s8":"s2","s9":"s3","s10":"s0","s11":"s9"},"f":{"s0":"s5","s1":"s1","s2":"s8","s3":"s8","s4":"s11","s5":"s5","s6":"s9","s7":"s4","s8":"s4","s9":"s5","s10":"s3","s11":"s8"}} | Given the following FSM:
a b c d e f
s0 s5 s7 s10 s6 s7 s5
s1 s5 s6 s8 s5 s9 s1
s2 s4 s0 s1 s5 s2 s8
s3 s6 s6 s2 s3 s9 s8
s4 s7 s10 s9 s1 s4 s11
s5 s7 s2 s7 s5 s11 s5
s6 s9 s8 s8 s1 s6 s9
s7 s4 s11 s8 s6 s5 s4
s8 s9 s9 s5 s5 s2 s4
s9 s1 s5 s8 s7 s3 s5
s10 s11 s6 s2 s5 s0 s3
s11 s9 s8 s7 s8 s9 s8
If we are in state s10 and the input is a, what state will we be in next? | s11 |
2be67bcc-d8a5-4e52-b3b0-d40860589a2c | a20f30f4-2fb8-4340-b44f-7c58ff397289 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcdefghij", "accepting_states": ["s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "j", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "j", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "j", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "j", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "j", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "j", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "j", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "j", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "j", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "i", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "j", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "i", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "j", "toStates": ["s3"]}]} | 5 | {"a":{"s0":"s6","s1":"s5","s2":"s7","s3":"s7","s4":"s9","s5":"s1","s6":"s9","s7":"s7","s8":"s0","s9":"s3","s10":"s9"},"b":{"s0":"s2","s1":"s2","s2":"s5","s3":"s8","s4":"s0","s5":"s1","s6":"s5","s7":"s1","s8":"s1","s9":"s10","s10":"s8"},"c":{"s0":"s6","s1":"s2","s2":"s8","s3":"s10","s4":"s1","s5":"s4","s6":"s1","s7":"s2","s8":"s2","s9":"s6","s10":"s6"},"d":{"s0":"s8","s1":"s5","s2":"s0","s3":"s10","s4":"s8","s5":"s6","s6":"s1","s7":"s10","s8":"s6","s9":"s6","s10":"s4"},"e":{"s0":"s4","s1":"s4","s2":"s3","s3":"s7","s4":"s7","s5":"s3","s6":"s1","s7":"s3","s8":"s7","s9":"s2","s10":"s0"},"f":{"s0":"s3","s1":"s0","s2":"s10","s3":"s1","s4":"s5","s5":"s3","s6":"s6","s7":"s10","s8":"s5","s9":"s10","s10":"s9"},"g":{"s0":"s0","s1":"s10","s2":"s2","s3":"s6","s4":"s1","s5":"s0","s6":"s10","s7":"s9","s8":"s7","s9":"s8","s10":"s1"},"h":{"s0":"s2","s1":"s4","s2":"s3","s3":"s10","s4":"s8","s5":"s6","s6":"s3","s7":"s4","s8":"s8","s9":"s6","s10":"s7"},"i":{"s0":"s4","s1":"s0","s2":"s4","s3":"s0","s4":"s5","s5":"s4","s6":"s3","s7":"s8","s8":"s1","s9":"s10","s10":"s9"},"j":{"s0":"s1","s1":"s0","s2":"s5","s3":"s2","s4":"s9","s5":"s10","s6":"s0","s7":"s5","s8":"s6","s9":"s8","s10":"s3"}} | Given the following FSM:
a b c d e f g h i j
s0 s6 s2 s6 s8 s4 s3 s0 s2 s4 s1
s1 s5 s2 s2 s5 s4 s0 s10 s4 s0 s0
s2 s7 s5 s8 s0 s3 s10 s2 s3 s4 s5
s3 s7 s8 s10 s10 s7 s1 s6 s10 s0 s2
s4 s9 s0 s1 s8 s7 s5 s1 s8 s5 s9
s5 s1 s1 s4 s6 s3 s3 s0 s6 s4 s10
s6 s9 s5 s1 s1 s1 s6 s10 s3 s3 s0
s7 s7 s1 s2 s10 s3 s10 s9 s4 s8 s5
s8 s0 s1 s2 s6 s7 s5 s7 s8 s1 s6
s9 s3 s10 s6 s6 s2 s10 s8 s6 s10 s8
s10 s9 s8 s6 s4 s0 s9 s1 s7 s9 s3
If we are in state s6 and the input is c, what state will we be in next? | s1 |
fbf7e660-df20-44db-9daa-a3d36378bea0 | c4d4cb94-40ed-4e62-af98-e2c3a5e4c119 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12", "s13"], "alphabets": "abcdefg", "accepting_states": ["s2", "s8", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s13"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s13"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s13"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s13"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s13"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s12"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s12", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s13", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s13", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "e", "toStates": ["s13"]}, {"fromState": "s13", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s13", "symbol": "g", "toStates": ["s1"]}]} | 5 | {"a":{"s0":"s10","s1":"s4","s2":"s10","s3":"s3","s4":"s13","s5":"s12","s6":"s7","s7":"s3","s8":"s3","s9":"s11","s10":"s1","s11":"s12","s12":"s0","s13":"s1"},"b":{"s0":"s4","s1":"s12","s2":"s13","s3":"s6","s4":"s1","s5":"s10","s6":"s2","s7":"s8","s8":"s3","s9":"s10","s10":"s4","s11":"s0","s12":"s6","s13":"s12"},"c":{"s0":"s9","s1":"s1","s2":"s6","s3":"s7","s4":"s5","s5":"s1","s6":"s12","s7":"s8","s8":"s1","s9":"s6","s10":"s7","s11":"s2","s12":"s7","s13":"s11"},"d":{"s0":"s11","s1":"s1","s2":"s0","s3":"s10","s4":"s6","s5":"s2","s6":"s4","s7":"s2","s8":"s12","s9":"s0","s10":"s12","s11":"s6","s12":"s9","s13":"s3"},"e":{"s0":"s13","s1":"s5","s2":"s2","s3":"s5","s4":"s4","s5":"s2","s6":"s5","s7":"s7","s8":"s13","s9":"s9","s10":"s0","s11":"s6","s12":"s9","s13":"s13"},"f":{"s0":"s13","s1":"s5","s2":"s12","s3":"s11","s4":"s9","s5":"s0","s6":"s6","s7":"s3","s8":"s11","s9":"s13","s10":"s8","s11":"s12","s12":"s11","s13":"s6"},"g":{"s0":"s2","s1":"s8","s2":"s11","s3":"s13","s4":"s0","s5":"s1","s6":"s0","s7":"s8","s8":"s3","s9":"s5","s10":"s12","s11":"s0","s12":"s6","s13":"s1"}} | Given the following FSM:
a b c d e f g
s0 s10 s4 s9 s11 s13 s13 s2
s1 s4 s12 s1 s1 s5 s5 s8
s2 s10 s13 s6 s0 s2 s12 s11
s3 s3 s6 s7 s10 s5 s11 s13
s4 s13 s1 s5 s6 s4 s9 s0
s5 s12 s10 s1 s2 s2 s0 s1
s6 s7 s2 s12 s4 s5 s6 s0
s7 s3 s8 s8 s2 s7 s3 s8
s8 s3 s3 s1 s12 s13 s11 s3
s9 s11 s10 s6 s0 s9 s13 s5
s10 s1 s4 s7 s12 s0 s8 s12
s11 s12 s0 s2 s6 s6 s12 s0
s12 s0 s6 s7 s9 s9 s11 s6
s13 s1 s12 s11 s3 s13 s6 s1
If we are in state s0 and the input is c, what state will we be in next? | s9 |
c353caa5-9b70-468a-adab-28cf3cd5da5d | fe7d8c9f-b45d-4dd6-b500-12473e177939 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6"], "alphabets": "abcde", "accepting_states": ["s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s0","s1":"s1","s2":"s0","s3":"s5","s4":"s6","s5":"s3","s6":"s2"},"b":{"s0":"s5","s1":"s3","s2":"s2","s3":"s6","s4":"s3","s5":"s3","s6":"s1"},"c":{"s0":"s2","s1":"s2","s2":"s5","s3":"s5","s4":"s2","s5":"s3","s6":"s1"},"d":{"s0":"s5","s1":"s2","s2":"s6","s3":"s6","s4":"s2","s5":"s4","s6":"s4"},"e":{"s0":"s2","s1":"s1","s2":"s5","s3":"s3","s4":"s2","s5":"s4","s6":"s5"}} | Given the following FSM:
a b c d e
s0 s0 s5 s2 s5 s2
s1 s1 s3 s2 s2 s1
s2 s0 s2 s5 s6 s5
s3 s5 s6 s5 s6 s3
s4 s6 s3 s2 s2 s2
s5 s3 s3 s3 s4 s4
s6 s2 s1 s1 s4 s5
If we are in state s0 and the input is e, what state will we be in next? | s2 |
be6a3846-685f-469a-add9-31b3d50001a5 | 9301b137-1c01-46b1-9410-82a2e1193c31 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abcde", "accepting_states": ["s9", "s12", "s10", "s5", "s8", "s3", "s1", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s4","s1":"s4","s2":"s8","s3":"s7","s4":"s8","s5":"s12","s6":"s3","s7":"s1","s8":"s9","s9":"s2","s10":"s0","s11":"s11","s12":"s6"},"b":{"s0":"s6","s1":"s12","s2":"s4","s3":"s3","s4":"s6","s5":"s1","s6":"s4","s7":"s2","s8":"s7","s9":"s2","s10":"s0","s11":"s11","s12":"s11"},"c":{"s0":"s12","s1":"s3","s2":"s0","s3":"s3","s4":"s4","s5":"s8","s6":"s7","s7":"s1","s8":"s6","s9":"s5","s10":"s9","s11":"s7","s12":"s2"},"d":{"s0":"s10","s1":"s5","s2":"s3","s3":"s10","s4":"s5","s5":"s11","s6":"s0","s7":"s6","s8":"s4","s9":"s3","s10":"s9","s11":"s3","s12":"s4"},"e":{"s0":"s2","s1":"s11","s2":"s8","s3":"s9","s4":"s12","s5":"s6","s6":"s3","s7":"s12","s8":"s9","s9":"s3","s10":"s6","s11":"s5","s12":"s7"}} | Given the following FSM:
a b c d e
s0 s4 s6 s12 s10 s2
s1 s4 s12 s3 s5 s11
s2 s8 s4 s0 s3 s8
s3 s7 s3 s3 s10 s9
s4 s8 s6 s4 s5 s12
s5 s12 s1 s8 s11 s6
s6 s3 s4 s7 s0 s3
s7 s1 s2 s1 s6 s12
s8 s9 s7 s6 s4 s9
s9 s2 s2 s5 s3 s3
s10 s0 s0 s9 s9 s6
s11 s11 s11 s7 s3 s5
s12 s6 s11 s2 s4 s7
If we are in state s10 and the input is a, what state will we be in next? | s0 |
1f062ce7-bfa5-4c89-b51e-9e4915fd16cd | fd4269cb-9c0e-4617-b84d-1c4e1ea9c4b7 | {"states": ["s0", "s3"], "alphabets": "a", "accepting_states": ["s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}]} | 3 | {"a":{"s0":"s3","s3":"s0"}} | Given the following FSM:
a
s0 s3
s3 s0
If we are in state s3 and the input is a, what state will we be in next? | s0 |
e2b72a7c-586f-4436-93ef-1ea98108754d | ad7c8762-1144-4360-b2a9-aa568fe4becd | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6"], "alphabets": "abcdefg", "accepting_states": ["s5", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s6","s1":"s2","s2":"s4","s3":"s3","s4":"s2","s5":"s5","s6":"s3"},"b":{"s0":"s5","s1":"s2","s2":"s0","s3":"s1","s4":"s1","s5":"s5","s6":"s1"},"c":{"s0":"s3","s1":"s4","s2":"s6","s3":"s6","s4":"s1","s5":"s3","s6":"s3"},"d":{"s0":"s3","s1":"s1","s2":"s4","s3":"s3","s4":"s2","s5":"s6","s6":"s1"},"e":{"s0":"s5","s1":"s3","s2":"s2","s3":"s5","s4":"s1","s5":"s0","s6":"s3"},"f":{"s0":"s1","s1":"s3","s2":"s3","s3":"s0","s4":"s2","s5":"s0","s6":"s1"},"g":{"s0":"s4","s1":"s3","s2":"s2","s3":"s0","s4":"s4","s5":"s3","s6":"s1"}} | Given the following FSM:
a b c d e f g
s0 s6 s5 s3 s3 s5 s1 s4
s1 s2 s2 s4 s1 s3 s3 s3
s2 s4 s0 s6 s4 s2 s3 s2
s3 s3 s1 s6 s3 s5 s0 s0
s4 s2 s1 s1 s2 s1 s2 s4
s5 s5 s5 s3 s6 s0 s0 s3
s6 s3 s1 s3 s1 s3 s1 s1
If we are in state s1 and the input is b, what state will we be in next? | s2 |
3615606d-2c84-4564-b72e-1105360413d7 | 2b01f658-7800-4297-93da-bfe3f9f54d32 | {"states": ["s0", "s1", "s2"], "alphabets": "abcdefghi", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s2","s1":"s2","s2":"s1"},"b":{"s0":"s2","s1":"s1","s2":"s0"},"c":{"s0":"s1","s1":"s0","s2":"s2"},"d":{"s0":"s0","s1":"s2","s2":"s2"},"e":{"s0":"s0","s1":"s1","s2":"s0"},"f":{"s0":"s2","s1":"s2","s2":"s0"},"g":{"s0":"s2","s1":"s2","s2":"s0"},"h":{"s0":"s0","s1":"s2","s2":"s2"},"i":{"s0":"s1","s1":"s1","s2":"s1"}} | Given the following FSM:
a b c d e f g h i
s0 s2 s2 s1 s0 s0 s2 s2 s0 s1
s1 s2 s1 s0 s2 s1 s2 s2 s2 s1
s2 s1 s0 s2 s2 s0 s0 s0 s2 s1
If we are in state s2 and the input is f, what state will we be in next? | s0 |
be849fc9-01c0-45c6-9bc3-76f4fdab362a | 1d79dc59-11a4-480f-bc3d-4bc6db866f73 | {"states": ["s0", "s1", "s2"], "alphabets": "abcdefgh", "accepting_states": ["s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s0","s1":"s2","s2":"s2"},"b":{"s0":"s2","s1":"s0","s2":"s2"},"c":{"s0":"s2","s1":"s1","s2":"s1"},"d":{"s0":"s1","s1":"s2","s2":"s1"},"e":{"s0":"s0","s1":"s2","s2":"s1"},"f":{"s0":"s2","s1":"s2","s2":"s2"},"g":{"s0":"s1","s1":"s0","s2":"s2"},"h":{"s0":"s0","s1":"s2","s2":"s2"}} | Given the following FSM:
a b c d e f g h
s0 s0 s2 s2 s1 s0 s2 s1 s0
s1 s2 s0 s1 s2 s2 s2 s0 s2
s2 s2 s2 s1 s1 s1 s2 s2 s2
If we are in state s2 and the input is c, what state will we be in next? | s1 |
8c8b86dd-b47d-4fe1-a36c-d1a63596914c | 6db57ce9-0d78-4dfa-a8d1-57365cff54a9 | {"states": ["s0", "s1", "s2", "s3"], "alphabets": "a", "accepting_states": ["s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}]} | 2 | {"a":{"s0":"s1","s1":"s2","s2":"s3","s3":"s1"}} | Given the following FSM:
a
s0 s1
s1 s2
s2 s3
s3 s1
If we are in state s0 and the input is a, what state will we be in next? | s1 |
b36dc4d7-de8b-4822-a4ab-e69feb06529d | 804a3121-2360-40e8-b88a-00810c8140dc | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12", "s13", "s14"], "alphabets": "abcd", "accepting_states": ["s7", "s14", "s10", "s11", "s9", "s2", "s12", "s8", "s4", "s0", "s5", "s13", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s14"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s13", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s13", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s14", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s14", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s14", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s14", "symbol": "d", "toStates": ["s12"]}]} | 4 | {"a":{"s0":"s0","s1":"s8","s2":"s10","s3":"s5","s4":"s13","s5":"s7","s6":"s8","s7":"s12","s8":"s2","s9":"s12","s10":"s4","s11":"s3","s12":"s4","s13":"s13","s14":"s7"},"b":{"s0":"s9","s1":"s10","s2":"s7","s3":"s8","s4":"s5","s5":"s2","s6":"s10","s7":"s3","s8":"s1","s9":"s0","s10":"s4","s11":"s6","s12":"s1","s13":"s8","s14":"s10"},"c":{"s0":"s10","s1":"s6","s2":"s12","s3":"s14","s4":"s10","s5":"s7","s6":"s12","s7":"s6","s8":"s2","s9":"s1","s10":"s2","s11":"s7","s12":"s6","s13":"s12","s14":"s11"},"d":{"s0":"s8","s1":"s12","s2":"s13","s3":"s12","s4":"s7","s5":"s0","s6":"s13","s7":"s1","s8":"s10","s9":"s3","s10":"s10","s11":"s13","s12":"s7","s13":"s2","s14":"s12"}} | Given the following FSM:
a b c d
s0 s0 s9 s10 s8
s1 s8 s10 s6 s12
s2 s10 s7 s12 s13
s3 s5 s8 s14 s12
s4 s13 s5 s10 s7
s5 s7 s2 s7 s0
s6 s8 s10 s12 s13
s7 s12 s3 s6 s1
s8 s2 s1 s2 s10
s9 s12 s0 s1 s3
s10 s4 s4 s2 s10
s11 s3 s6 s7 s13
s12 s4 s1 s6 s7
s13 s13 s8 s12 s2
s14 s7 s10 s11 s12
If we are in state s13 and the input is b, what state will we be in next? | s8 |
e8388de3-464c-4219-867e-4def41b44a83 | 1037fddf-6783-4ae9-bb01-4478edfbbd03 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5"], "alphabets": "abcd", "accepting_states": ["s4", "s2", "s1", "s0", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s3","s1":"s5","s2":"s0","s3":"s5","s4":"s0","s5":"s3"},"b":{"s0":"s2","s1":"s3","s2":"s0","s3":"s2","s4":"s0","s5":"s2"},"c":{"s0":"s2","s1":"s4","s2":"s1","s3":"s0","s4":"s1","s5":"s2"},"d":{"s0":"s3","s1":"s3","s2":"s1","s3":"s1","s4":"s0","s5":"s2"}} | Given the following FSM:
a b c d
s0 s3 s2 s2 s3
s1 s5 s3 s4 s3
s2 s0 s0 s1 s1
s3 s5 s2 s0 s1
s4 s0 s0 s1 s0
s5 s3 s2 s2 s2
If we are in state s2 and the input is b, what state will we be in next? | s0 |
c2fe6a96-2600-49fa-806e-fd079d5fb68f | 0fb823dd-a8a7-408e-a178-7e4021010795 | {"states": ["s0", "s1", "s2"], "alphabets": "abc", "accepting_states": ["s2", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}]} | 2 | {"a":{"s0":"s1","s1":"s2","s2":"s0"},"b":{"s0":"s2","s1":"s1","s2":"s2"},"c":{"s0":"s2","s1":"s2","s2":"s2"}} | Given the following FSM:
a b c
s0 s1 s2 s2
s1 s2 s1 s2
s2 s0 s2 s2
If we are in state s2 and the input is c, what state will we be in next? | s2 |
693b8863-949c-42da-8a57-72f6dd37d47a | 7d18ee12-a763-4db8-9454-62a7a1c073b0 | {"states": ["s0", "s1", "s2", "s4", "s5", "s6"], "alphabets": "abc", "accepting_states": ["s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}]} | 3 | {"a":{"s0":"s1","s1":"s1","s2":"s0","s4":"s6","s5":"s5","s6":"s5"},"b":{"s0":"s4","s1":"s6","s2":"s4","s4":"s6","s5":"s6","s6":"s1"},"c":{"s0":"s2","s1":"s1","s2":"s4","s4":"s1","s5":"s1","s6":"s0"}} | Given the following FSM:
a b c
s0 s1 s4 s2
s1 s1 s6 s1
s2 s0 s4 s4
s4 s6 s6 s1
s5 s5 s6 s1
s6 s5 s1 s0
If we are in state s2 and the input is b, what state will we be in next? | s4 |
9250ddeb-806b-4a02-bab4-e6cdf0eb738c | 5791ffde-0f7a-4686-bef6-8083f8878746 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abcdefgh", "accepting_states": ["s2", "s10", "s0", "s9", "s11", "s7", "s1", "s6", "s3", "s5", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s12"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s12"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s12", "symbol": "h", "toStates": ["s2"]}]} | 5 | {"a":{"s0":"s7","s1":"s0","s2":"s1","s3":"s5","s4":"s9","s5":"s12","s6":"s4","s7":"s11","s8":"s6","s9":"s4","s10":"s8","s11":"s6","s12":"s10"},"b":{"s0":"s11","s1":"s9","s2":"s5","s3":"s3","s4":"s4","s5":"s8","s6":"s0","s7":"s4","s8":"s12","s9":"s10","s10":"s12","s11":"s8","s12":"s5"},"c":{"s0":"s7","s1":"s9","s2":"s0","s3":"s4","s4":"s0","s5":"s3","s6":"s7","s7":"s0","s8":"s0","s9":"s11","s10":"s7","s11":"s12","s12":"s10"},"d":{"s0":"s1","s1":"s6","s2":"s10","s3":"s11","s4":"s9","s5":"s10","s6":"s8","s7":"s10","s8":"s1","s9":"s8","s10":"s7","s11":"s11","s12":"s2"},"e":{"s0":"s12","s1":"s6","s2":"s4","s3":"s9","s4":"s6","s5":"s3","s6":"s8","s7":"s12","s8":"s8","s9":"s0","s10":"s2","s11":"s5","s12":"s3"},"f":{"s0":"s12","s1":"s5","s2":"s2","s3":"s9","s4":"s2","s5":"s12","s6":"s12","s7":"s11","s8":"s3","s9":"s5","s10":"s7","s11":"s6","s12":"s10"},"g":{"s0":"s3","s1":"s12","s2":"s6","s3":"s2","s4":"s1","s5":"s7","s6":"s11","s7":"s8","s8":"s5","s9":"s10","s10":"s3","s11":"s12","s12":"s3"},"h":{"s0":"s7","s1":"s0","s2":"s4","s3":"s10","s4":"s7","s5":"s2","s6":"s8","s7":"s8","s8":"s10","s9":"s1","s10":"s1","s11":"s9","s12":"s2"}} | Given the following FSM:
a b c d e f g h
s0 s7 s11 s7 s1 s12 s12 s3 s7
s1 s0 s9 s9 s6 s6 s5 s12 s0
s2 s1 s5 s0 s10 s4 s2 s6 s4
s3 s5 s3 s4 s11 s9 s9 s2 s10
s4 s9 s4 s0 s9 s6 s2 s1 s7
s5 s12 s8 s3 s10 s3 s12 s7 s2
s6 s4 s0 s7 s8 s8 s12 s11 s8
s7 s11 s4 s0 s10 s12 s11 s8 s8
s8 s6 s12 s0 s1 s8 s3 s5 s10
s9 s4 s10 s11 s8 s0 s5 s10 s1
s10 s8 s12 s7 s7 s2 s7 s3 s1
s11 s6 s8 s12 s11 s5 s6 s12 s9
s12 s10 s5 s10 s2 s3 s10 s3 s2
If we are in state s10 and the input is d, what state will we be in next? | s7 |
0d7d738e-817c-4a06-bd77-c4f19f255aed | 4f96761f-5e07-4f83-8fd2-0470dc312f88 | {"states": ["s0", "s1", "s2", "s3", "s4", "s6"], "alphabets": "ab", "accepting_states": ["s1", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}]} | 2 | {"a":{"s0":"s1","s1":"s1","s2":"s0","s3":"s6","s4":"s3","s6":"s1"},"b":{"s0":"s6","s1":"s2","s2":"s3","s3":"s4","s4":"s3","s6":"s1"}} | Given the following FSM:
a b
s0 s1 s6
s1 s1 s2
s2 s0 s3
s3 s6 s4
s4 s3 s3
s6 s1 s1
If we are in state s2 and the input is b, what state will we be in next? | s3 |
db084b7f-ce62-4c21-ad8b-44aaa0abb156 | 18a4fe74-9389-4479-818a-c9f0ace80f28 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12", "s13"], "alphabets": "abcdefgh", "accepting_states": ["s4", "s10", "s6", "s2", "s3", "s1", "s13", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s13"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s13"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s13"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s13"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s13"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s13"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "g", "toStates": ["s13"]}, {"fromState": "s12", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s13", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s13", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s13", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s13", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s13", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s13", "symbol": "h", "toStates": ["s11"]}]} | 5 | {"a":{"s0":"s4","s1":"s5","s2":"s7","s3":"s12","s4":"s1","s5":"s7","s6":"s1","s7":"s10","s8":"s1","s9":"s6","s10":"s10","s11":"s2","s12":"s5","s13":"s8"},"b":{"s0":"s11","s1":"s9","s2":"s11","s3":"s9","s4":"s1","s5":"s3","s6":"s6","s7":"s13","s8":"s3","s9":"s1","s10":"s0","s11":"s0","s12":"s2","s13":"s11"},"c":{"s0":"s1","s1":"s2","s2":"s7","s3":"s3","s4":"s5","s5":"s11","s6":"s12","s7":"s13","s8":"s6","s9":"s7","s10":"s9","s11":"s0","s12":"s4","s13":"s4"},"d":{"s0":"s3","s1":"s1","s2":"s2","s3":"s3","s4":"s4","s5":"s10","s6":"s13","s7":"s5","s8":"s10","s9":"s6","s10":"s7","s11":"s2","s12":"s11","s13":"s2"},"e":{"s0":"s5","s1":"s1","s2":"s13","s3":"s10","s4":"s5","s5":"s0","s6":"s13","s7":"s0","s8":"s6","s9":"s5","s10":"s5","s11":"s2","s12":"s1","s13":"s5"},"f":{"s0":"s13","s1":"s11","s2":"s4","s3":"s10","s4":"s12","s5":"s1","s6":"s1","s7":"s10","s8":"s11","s9":"s11","s10":"s12","s11":"s7","s12":"s1","s13":"s8"},"g":{"s0":"s8","s1":"s0","s2":"s4","s3":"s2","s4":"s6","s5":"s5","s6":"s9","s7":"s8","s8":"s8","s9":"s5","s10":"s13","s11":"s0","s12":"s13","s13":"s5"},"h":{"s0":"s9","s1":"s0","s2":"s3","s3":"s9","s4":"s1","s5":"s2","s6":"s13","s7":"s1","s8":"s2","s9":"s5","s10":"s0","s11":"s5","s12":"s9","s13":"s11"}} | Given the following FSM:
a b c d e f g h
s0 s4 s11 s1 s3 s5 s13 s8 s9
s1 s5 s9 s2 s1 s1 s11 s0 s0
s2 s7 s11 s7 s2 s13 s4 s4 s3
s3 s12 s9 s3 s3 s10 s10 s2 s9
s4 s1 s1 s5 s4 s5 s12 s6 s1
s5 s7 s3 s11 s10 s0 s1 s5 s2
s6 s1 s6 s12 s13 s13 s1 s9 s13
s7 s10 s13 s13 s5 s0 s10 s8 s1
s8 s1 s3 s6 s10 s6 s11 s8 s2
s9 s6 s1 s7 s6 s5 s11 s5 s5
s10 s10 s0 s9 s7 s5 s12 s13 s0
s11 s2 s0 s0 s2 s2 s7 s0 s5
s12 s5 s2 s4 s11 s1 s1 s13 s9
s13 s8 s11 s4 s2 s5 s8 s5 s11
If we are in state s2 and the input is f, what state will we be in next? | s4 |
ad9af36d-e5ec-4d29-b05c-59ef29cda80d | 72383748-c9d3-4eb5-88e9-ccf32ca845d4 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6"], "alphabets": "abcdefghi", "accepting_states": ["s6", "s0", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s3","s1":"s5","s2":"s0","s3":"s0","s4":"s3","s5":"s5","s6":"s4"},"b":{"s0":"s5","s1":"s6","s2":"s5","s3":"s4","s4":"s0","s5":"s5","s6":"s3"},"c":{"s0":"s4","s1":"s6","s2":"s4","s3":"s1","s4":"s2","s5":"s3","s6":"s5"},"d":{"s0":"s6","s1":"s3","s2":"s6","s3":"s1","s4":"s6","s5":"s2","s6":"s6"},"e":{"s0":"s1","s1":"s1","s2":"s3","s3":"s5","s4":"s0","s5":"s2","s6":"s0"},"f":{"s0":"s6","s1":"s0","s2":"s5","s3":"s1","s4":"s4","s5":"s2","s6":"s4"},"g":{"s0":"s1","s1":"s1","s2":"s6","s3":"s3","s4":"s3","s5":"s5","s6":"s3"},"h":{"s0":"s3","s1":"s1","s2":"s6","s3":"s2","s4":"s1","s5":"s3","s6":"s1"},"i":{"s0":"s0","s1":"s1","s2":"s0","s3":"s3","s4":"s0","s5":"s0","s6":"s5"}} | Given the following FSM:
a b c d e f g h i
s0 s3 s5 s4 s6 s1 s6 s1 s3 s0
s1 s5 s6 s6 s3 s1 s0 s1 s1 s1
s2 s0 s5 s4 s6 s3 s5 s6 s6 s0
s3 s0 s4 s1 s1 s5 s1 s3 s2 s3
s4 s3 s0 s2 s6 s0 s4 s3 s1 s0
s5 s5 s5 s3 s2 s2 s2 s5 s3 s0
s6 s4 s3 s5 s6 s0 s4 s3 s1 s5
If we are in state s6 and the input is h, what state will we be in next? | s1 |
05220c8b-136c-48f1-8fbb-e42e089071fa | 17e0ee69-6cd2-4b3f-a9b8-4f92dab1befe | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12", "s13"], "alphabets": "abcd", "accepting_states": ["s0", "s4", "s1", "s6", "s11", "s2", "s8", "s5", "s3", "s13", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s13"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s13", "symbol": "d", "toStates": ["s11"]}]} | 4 | {"a":{"s0":"s0","s1":"s1","s2":"s2","s3":"s8","s4":"s3","s5":"s12","s6":"s5","s7":"s10","s8":"s12","s9":"s4","s10":"s8","s11":"s5","s12":"s11","s13":"s10"},"b":{"s0":"s8","s1":"s8","s2":"s0","s3":"s13","s4":"s7","s5":"s0","s6":"s0","s7":"s11","s8":"s6","s9":"s0","s10":"s3","s11":"s6","s12":"s4","s13":"s3"},"c":{"s0":"s1","s1":"s11","s2":"s0","s3":"s4","s4":"s8","s5":"s8","s6":"s12","s7":"s1","s8":"s8","s9":"s9","s10":"s9","s11":"s7","s12":"s13","s13":"s1"},"d":{"s0":"s13","s1":"s2","s2":"s3","s3":"s4","s4":"s13","s5":"s11","s6":"s2","s7":"s12","s8":"s3","s9":"s0","s10":"s7","s11":"s10","s12":"s8","s13":"s11"}} | Given the following FSM:
a b c d
s0 s0 s8 s1 s13
s1 s1 s8 s11 s2
s2 s2 s0 s0 s3
s3 s8 s13 s4 s4
s4 s3 s7 s8 s13
s5 s12 s0 s8 s11
s6 s5 s0 s12 s2
s7 s10 s11 s1 s12
s8 s12 s6 s8 s3
s9 s4 s0 s9 s0
s10 s8 s3 s9 s7
s11 s5 s6 s7 s10
s12 s11 s4 s13 s8
s13 s10 s3 s1 s11
If we are in state s7 and the input is d, what state will we be in next? | s12 |
925faa98-9681-4e27-a817-bdb1e5044a5c | 16b749c2-82d4-456b-93d7-0657b9016e3d | {"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 |
d6b4f32b-3f8b-412e-8998-3380e43bf300 | 515a008e-0916-4cd4-b1f3-0e58fe631c02 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12", "s13", "s14"], "alphabets": "abcdefg", "accepting_states": ["s5", "s7", "s2", "s4", "s11", "s3", "s12", "s14", "s13", "s10", "s8", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s14"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s14"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s13"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s14"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s13"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s14"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s14"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s14"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s14"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s12"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s14"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s12", "symbol": "g", "toStates": ["s11"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "c", "toStates": ["s14"]}, {"fromState": "s13", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s13", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s13", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s13", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s14", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s14", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s14", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s14", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s14", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s14", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s14", "symbol": "g", "toStates": ["s2"]}]} | 5 | {"a":{"s0":"s14","s1":"s10","s2":"s13","s3":"s4","s4":"s14","s5":"s5","s6":"s1","s7":"s12","s8":"s6","s9":"s10","s10":"s14","s11":"s6","s12":"s0","s13":"s9","s14":"s6"},"b":{"s0":"s14","s1":"s8","s2":"s6","s3":"s2","s4":"s10","s5":"s7","s6":"s9","s7":"s13","s8":"s7","s9":"s8","s10":"s13","s11":"s4","s12":"s10","s13":"s3","s14":"s10"},"c":{"s0":"s7","s1":"s13","s2":"s10","s3":"s8","s4":"s9","s5":"s10","s6":"s4","s7":"s11","s8":"s6","s9":"s8","s10":"s8","s11":"s6","s12":"s11","s13":"s14","s14":"s6"},"d":{"s0":"s0","s1":"s7","s2":"s2","s3":"s2","s4":"s12","s5":"s6","s6":"s13","s7":"s10","s8":"s8","s9":"s3","s10":"s7","s11":"s8","s12":"s3","s13":"s7","s14":"s5"},"e":{"s0":"s1","s1":"s7","s2":"s0","s3":"s6","s4":"s6","s5":"s14","s6":"s2","s7":"s8","s8":"s5","s9":"s3","s10":"s3","s11":"s5","s12":"s0","s13":"s9","s14":"s0"},"f":{"s0":"s12","s1":"s14","s2":"s5","s3":"s1","s4":"s0","s5":"s1","s6":"s10","s7":"s9","s8":"s14","s9":"s5","s10":"s8","s11":"s4","s12":"s11","s13":"s11","s14":"s12"},"g":{"s0":"s2","s1":"s5","s2":"s0","s3":"s13","s4":"s3","s5":"s2","s6":"s4","s7":"s3","s8":"s10","s9":"s8","s10":"s12","s11":"s14","s12":"s11","s13":"s1","s14":"s2"}} | Given the following FSM:
a b c d e f g
s0 s14 s14 s7 s0 s1 s12 s2
s1 s10 s8 s13 s7 s7 s14 s5
s2 s13 s6 s10 s2 s0 s5 s0
s3 s4 s2 s8 s2 s6 s1 s13
s4 s14 s10 s9 s12 s6 s0 s3
s5 s5 s7 s10 s6 s14 s1 s2
s6 s1 s9 s4 s13 s2 s10 s4
s7 s12 s13 s11 s10 s8 s9 s3
s8 s6 s7 s6 s8 s5 s14 s10
s9 s10 s8 s8 s3 s3 s5 s8
s10 s14 s13 s8 s7 s3 s8 s12
s11 s6 s4 s6 s8 s5 s4 s14
s12 s0 s10 s11 s3 s0 s11 s11
s13 s9 s3 s14 s7 s9 s11 s1
s14 s6 s10 s6 s5 s0 s12 s2
If we are in state s4 and the input is d, what state will we be in next? | s12 |
f66b949b-628b-4ff6-90bc-cb7850cc25bb | bb0106a0-2373-4048-8cef-740563f21faf | {"states": ["s0", "s1", "s3", "s4", "s5", "s7", "s9"], "alphabets": "ab", "accepting_states": ["s5", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}]} | 3 | {"a":{"s0":"s5","s1":"s4","s3":"s7","s4":"s3","s5":"s7","s7":"s5","s9":"s5"},"b":{"s0":"s1","s1":"s9","s3":"s9","s4":"s9","s5":"s7","s7":"s0","s9":"s7"}} | Given the following FSM:
a b
s0 s5 s1
s1 s4 s9
s3 s7 s9
s4 s3 s9
s5 s7 s7
s7 s5 s0
s9 s5 s7
If we are in state s1 and the input is b, what state will we be in next? | s9 |
476c4b6a-f50b-4e25-97fb-7faa02cb5cf4 | 95b9977d-505d-47ba-b135-a775a739f0f7 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11"], "alphabets": "abcdefg", "accepting_states": ["s8", "s7", "s1", "s9", "s2", "s5", "s6", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s10","s1":"s2","s2":"s4","s3":"s10","s4":"s1","s5":"s11","s6":"s6","s7":"s2","s8":"s11","s9":"s6","s10":"s1","s11":"s7"},"b":{"s0":"s8","s1":"s0","s2":"s0","s3":"s5","s4":"s10","s5":"s10","s6":"s11","s7":"s3","s8":"s5","s9":"s0","s10":"s8","s11":"s7"},"c":{"s0":"s11","s1":"s8","s2":"s11","s3":"s3","s4":"s0","s5":"s3","s6":"s2","s7":"s6","s8":"s6","s9":"s11","s10":"s9","s11":"s5"},"d":{"s0":"s3","s1":"s5","s2":"s8","s3":"s2","s4":"s9","s5":"s4","s6":"s10","s7":"s6","s8":"s6","s9":"s2","s10":"s0","s11":"s8"},"e":{"s0":"s5","s1":"s6","s2":"s4","s3":"s3","s4":"s8","s5":"s11","s6":"s5","s7":"s3","s8":"s7","s9":"s10","s10":"s4","s11":"s11"},"f":{"s0":"s9","s1":"s11","s2":"s10","s3":"s6","s4":"s4","s5":"s0","s6":"s10","s7":"s8","s8":"s2","s9":"s2","s10":"s8","s11":"s8"},"g":{"s0":"s6","s1":"s4","s2":"s0","s3":"s2","s4":"s3","s5":"s6","s6":"s7","s7":"s3","s8":"s10","s9":"s2","s10":"s0","s11":"s4"}} | Given the following FSM:
a b c d e f g
s0 s10 s8 s11 s3 s5 s9 s6
s1 s2 s0 s8 s5 s6 s11 s4
s2 s4 s0 s11 s8 s4 s10 s0
s3 s10 s5 s3 s2 s3 s6 s2
s4 s1 s10 s0 s9 s8 s4 s3
s5 s11 s10 s3 s4 s11 s0 s6
s6 s6 s11 s2 s10 s5 s10 s7
s7 s2 s3 s6 s6 s3 s8 s3
s8 s11 s5 s6 s6 s7 s2 s10
s9 s6 s0 s11 s2 s10 s2 s2
s10 s1 s8 s9 s0 s4 s8 s0
s11 s7 s7 s5 s8 s11 s8 s4
If we are in state s4 and the input is c, what state will we be in next? | s0 |
26a854ba-1035-41b2-9d66-2e357b9a2b6b | 204be61c-671c-4b4c-b139-73318e781cf0 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abcd", "accepting_states": ["s7", "s4", "s5", "s12", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s0","s1":"s10","s2":"s5","s3":"s10","s4":"s4","s5":"s1","s6":"s12","s7":"s11","s8":"s7","s9":"s2","s10":"s2","s11":"s0","s12":"s5"},"b":{"s0":"s2","s1":"s12","s2":"s4","s3":"s11","s4":"s8","s5":"s11","s6":"s6","s7":"s2","s8":"s8","s9":"s5","s10":"s3","s11":"s9","s12":"s6"},"c":{"s0":"s10","s1":"s8","s2":"s3","s3":"s4","s4":"s10","s5":"s10","s6":"s3","s7":"s7","s8":"s7","s9":"s12","s10":"s0","s11":"s5","s12":"s11"},"d":{"s0":"s12","s1":"s4","s2":"s6","s3":"s9","s4":"s1","s5":"s4","s6":"s5","s7":"s1","s8":"s10","s9":"s3","s10":"s2","s11":"s11","s12":"s6"}} | Given the following FSM:
a b c d
s0 s0 s2 s10 s12
s1 s10 s12 s8 s4
s2 s5 s4 s3 s6
s3 s10 s11 s4 s9
s4 s4 s8 s10 s1
s5 s1 s11 s10 s4
s6 s12 s6 s3 s5
s7 s11 s2 s7 s1
s8 s7 s8 s7 s10
s9 s2 s5 s12 s3
s10 s2 s3 s0 s2
s11 s0 s9 s5 s11
s12 s5 s6 s11 s6
If we are in state s2 and the input is c, what state will we be in next? | s3 |
634b64f7-6ea9-4477-8089-1de8c6251ab6 | db3bb5a0-01ea-4ef9-aa35-de08ea7460b9 | {"states": ["s0", "s1", "s2"], "alphabets": "abcdefghij", "accepting_states": ["s2", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "j", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "j", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "j", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s1","s1":"s2","s2":"s1"},"b":{"s0":"s0","s1":"s0","s2":"s0"},"c":{"s0":"s1","s1":"s1","s2":"s1"},"d":{"s0":"s0","s1":"s0","s2":"s0"},"e":{"s0":"s0","s1":"s2","s2":"s1"},"f":{"s0":"s2","s1":"s2","s2":"s2"},"g":{"s0":"s0","s1":"s0","s2":"s1"},"h":{"s0":"s1","s1":"s2","s2":"s0"},"i":{"s0":"s1","s1":"s0","s2":"s0"},"j":{"s0":"s0","s1":"s1","s2":"s2"}} | Given the following FSM:
a b c d e f g h i j
s0 s1 s0 s1 s0 s0 s2 s0 s1 s1 s0
s1 s2 s0 s1 s0 s2 s2 s0 s2 s0 s1
s2 s1 s0 s1 s0 s1 s2 s1 s0 s0 s2
If we are in state s2 and the input is j, what state will we be in next? | s2 |
e984eed2-c274-49e4-b8b1-fed8741ae059 | e2005fcb-20b1-4dcb-8e59-8824145a2e6a | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s0", "s2", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "g", "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": ["s1"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s0"]}]} | 4 | {"a":{"s0":"s3","s1":"s5","s2":"s2","s3":"s1","s4":"s0","s5":"s0","s6":"s1","s7":"s6","s8":"s8"},"b":{"s0":"s6","s1":"s7","s2":"s8","s3":"s7","s4":"s3","s5":"s3","s6":"s0","s7":"s1","s8":"s6"},"c":{"s0":"s8","s1":"s3","s2":"s1","s3":"s6","s4":"s5","s5":"s3","s6":"s5","s7":"s3","s8":"s7"},"d":{"s0":"s5","s1":"s3","s2":"s2","s3":"s0","s4":"s4","s5":"s4","s6":"s1","s7":"s6","s8":"s8"},"e":{"s0":"s6","s1":"s7","s2":"s8","s3":"s5","s4":"s2","s5":"s4","s6":"s1","s7":"s6","s8":"s8"},"f":{"s0":"s6","s1":"s1","s2":"s5","s3":"s3","s4":"s1","s5":"s2","s6":"s5","s7":"s5","s8":"s3"},"g":{"s0":"s7","s1":"s8","s2":"s8","s3":"s3","s4":"s4","s5":"s5","s6":"s1","s7":"s2","s8":"s0"}} | Given the following FSM:
a b c d e f g
s0 s3 s6 s8 s5 s6 s6 s7
s1 s5 s7 s3 s3 s7 s1 s8
s2 s2 s8 s1 s2 s8 s5 s8
s3 s1 s7 s6 s0 s5 s3 s3
s4 s0 s3 s5 s4 s2 s1 s4
s5 s0 s3 s3 s4 s4 s2 s5
s6 s1 s0 s5 s1 s1 s5 s1
s7 s6 s1 s3 s6 s6 s5 s2
s8 s8 s6 s7 s8 s8 s3 s0
If we are in state s8 and the input is a, what state will we be in next? | s8 |
a0310de2-31b7-439c-a6a9-2bc8c0134952 | e4ca0f96-18b0-438e-92b4-2a4bf818c062 | {"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 c, what state will we be in next? | s0 |
2d845490-6df8-430f-8981-f3a9a6a34646 | dfd1ca9f-4c60-49f2-9bfc-359c65af99ca | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11"], "alphabets": "abc", "accepting_states": ["s5", "s0", "s10", "s6", "s11", "s7", "s2", "s1", "s3", "s4", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s2","s1":"s10","s2":"s8","s3":"s11","s4":"s6","s5":"s5","s6":"s1","s7":"s11","s8":"s6","s9":"s6","s10":"s6","s11":"s4"},"b":{"s0":"s8","s1":"s1","s2":"s0","s3":"s2","s4":"s11","s5":"s11","s6":"s5","s7":"s6","s8":"s7","s9":"s3","s10":"s5","s11":"s3"},"c":{"s0":"s9","s1":"s2","s2":"s3","s3":"s9","s4":"s0","s5":"s5","s6":"s3","s7":"s3","s8":"s7","s9":"s8","s10":"s11","s11":"s6"}} | Given the following FSM:
a b c
s0 s2 s8 s9
s1 s10 s1 s2
s2 s8 s0 s3
s3 s11 s2 s9
s4 s6 s11 s0
s5 s5 s11 s5
s6 s1 s5 s3
s7 s11 s6 s3
s8 s6 s7 s7
s9 s6 s3 s8
s10 s6 s5 s11
s11 s4 s3 s6
If we are in state s4 and the input is c, what state will we be in next? | s0 |
2bfb4170-7d19-43b4-8cab-ad92b4c1096c | 19a54ec1-5c24-4fd7-93ba-8e19bd03d34b | {"states": ["s0", "s1", "s2", "s3"], "alphabets": "abc", "accepting_states": ["s2", "s3", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}]} | 2 | {"a":{"s0":"s1","s1":"s0","s2":"s0","s3":"s1"},"b":{"s0":"s2","s1":"s2","s2":"s0","s3":"s3"},"c":{"s0":"s0","s1":"s3","s2":"s1","s3":"s3"}} | Given the following FSM:
a b c
s0 s1 s2 s0
s1 s0 s2 s3
s2 s0 s0 s1
s3 s1 s3 s3
If we are in state s3 and the input is b, what state will we be in next? | s3 |
898ee285-6fbc-4058-93da-f57230213344 | aaab7d40-2060-4f44-97ce-9ca168f54802 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abc", "accepting_states": ["s1", "s3", "s10", "s0", "s5", "s2", "s7", "s8", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s7"]}]} | 3 | {"a":{"s0":"s0","s1":"s9","s2":"s0","s3":"s10","s4":"s5","s5":"s1","s6":"s3","s7":"s0","s8":"s2","s9":"s4","s10":"s4"},"b":{"s0":"s10","s1":"s7","s2":"s6","s3":"s7","s4":"s5","s5":"s5","s6":"s1","s7":"s5","s8":"s2","s9":"s2","s10":"s1"},"c":{"s0":"s5","s1":"s3","s2":"s3","s3":"s8","s4":"s2","s5":"s9","s6":"s3","s7":"s8","s8":"s7","s9":"s9","s10":"s7"}} | Given the following FSM:
a b c
s0 s0 s10 s5
s1 s9 s7 s3
s2 s0 s6 s3
s3 s10 s7 s8
s4 s5 s5 s2
s5 s1 s5 s9
s6 s3 s1 s3
s7 s0 s5 s8
s8 s2 s2 s7
s9 s4 s2 s9
s10 s4 s1 s7
If we are in state s10 and the input is a, what state will we be in next? | s4 |
d962b7a9-fc50-4a49-8f05-0ea6cb6872ab | d9d92e3d-d814-4b02-8513-5a272495c69c | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11"], "alphabets": "abcdefghij", "accepting_states": ["s4", "s2", "s0", "s11", "s3", "s5", "s1", "s8", "s7", "s9", "s10", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "j", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "j", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "j", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "j", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "j", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "j", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "j", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "j", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "j", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "i", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "j", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "i", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "j", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "i", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "j", "toStates": ["s9"]}]} | 5 | {"a":{"s0":"s10","s1":"s11","s2":"s7","s3":"s11","s4":"s8","s5":"s1","s6":"s10","s7":"s8","s8":"s7","s9":"s0","s10":"s11","s11":"s5"},"b":{"s0":"s11","s1":"s9","s2":"s8","s3":"s1","s4":"s1","s5":"s6","s6":"s4","s7":"s11","s8":"s7","s9":"s10","s10":"s11","s11":"s0"},"c":{"s0":"s6","s1":"s7","s2":"s5","s3":"s2","s4":"s5","s5":"s0","s6":"s0","s7":"s0","s8":"s4","s9":"s0","s10":"s3","s11":"s1"},"d":{"s0":"s2","s1":"s4","s2":"s3","s3":"s3","s4":"s0","s5":"s10","s6":"s1","s7":"s6","s8":"s5","s9":"s5","s10":"s8","s11":"s6"},"e":{"s0":"s1","s1":"s9","s2":"s7","s3":"s0","s4":"s1","s5":"s3","s6":"s6","s7":"s6","s8":"s11","s9":"s8","s10":"s7","s11":"s5"},"f":{"s0":"s11","s1":"s2","s2":"s0","s3":"s1","s4":"s8","s5":"s9","s6":"s10","s7":"s9","s8":"s9","s9":"s0","s10":"s11","s11":"s7"},"g":{"s0":"s11","s1":"s7","s2":"s9","s3":"s10","s4":"s9","s5":"s0","s6":"s5","s7":"s1","s8":"s4","s9":"s6","s10":"s11","s11":"s3"},"h":{"s0":"s0","s1":"s4","s2":"s11","s3":"s1","s4":"s1","s5":"s8","s6":"s9","s7":"s0","s8":"s0","s9":"s10","s10":"s5","s11":"s2"},"i":{"s0":"s7","s1":"s10","s2":"s11","s3":"s5","s4":"s5","s5":"s3","s6":"s11","s7":"s8","s8":"s4","s9":"s10","s10":"s3","s11":"s9"},"j":{"s0":"s8","s1":"s0","s2":"s9","s3":"s7","s4":"s4","s5":"s10","s6":"s11","s7":"s5","s8":"s10","s9":"s4","s10":"s10","s11":"s9"}} | Given the following FSM:
a b c d e f g h i j
s0 s10 s11 s6 s2 s1 s11 s11 s0 s7 s8
s1 s11 s9 s7 s4 s9 s2 s7 s4 s10 s0
s2 s7 s8 s5 s3 s7 s0 s9 s11 s11 s9
s3 s11 s1 s2 s3 s0 s1 s10 s1 s5 s7
s4 s8 s1 s5 s0 s1 s8 s9 s1 s5 s4
s5 s1 s6 s0 s10 s3 s9 s0 s8 s3 s10
s6 s10 s4 s0 s1 s6 s10 s5 s9 s11 s11
s7 s8 s11 s0 s6 s6 s9 s1 s0 s8 s5
s8 s7 s7 s4 s5 s11 s9 s4 s0 s4 s10
s9 s0 s10 s0 s5 s8 s0 s6 s10 s10 s4
s10 s11 s11 s3 s8 s7 s11 s11 s5 s3 s10
s11 s5 s0 s1 s6 s5 s7 s3 s2 s9 s9
If we are in state s1 and the input is e, what state will we be in next? | s9 |
fc63e8e3-6ae3-40bb-94ba-274533d14d30 | f97fe397-57ff-43cb-a0f9-408f1d2f7b60 | {"states": ["s0", "s2", "s9"], "alphabets": "a", "accepting_states": ["s2", "s9", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s0"]}]} | 4 | {"a":{"s0":"s2","s2":"s9","s9":"s0"}} | Given the following FSM:
a
s0 s2
s2 s9
s9 s0
If we are in state s9 and the input is a, what state will we be in next? | s0 |
fe9fffde-0e11-4136-8378-ad014c6e82ae | 3099d6a0-ee42-4f15-9979-7276e6f1f597 | {"states": ["s0"], "alphabets": "ab", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}]} | 1 | {"a":{"s0":"s0"},"b":{"s0":"s0"}} | Given the following FSM:
a b
s0 s0 s0
If we are in state s0 and the input is a, what state will we be in next? | s0 |
0e07775a-add8-40d0-8887-9e77d4ea2a49 | fb10654e-cb36-4b62-841d-f184676cdcad | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6"], "alphabets": "abcdefg", "accepting_states": ["s6", "s4", "s0", "s5", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s5","s1":"s3","s2":"s5","s3":"s1","s4":"s6","s5":"s0","s6":"s4"},"b":{"s0":"s5","s1":"s4","s2":"s5","s3":"s6","s4":"s3","s5":"s0","s6":"s2"},"c":{"s0":"s2","s1":"s4","s2":"s6","s3":"s2","s4":"s1","s5":"s1","s6":"s0"},"d":{"s0":"s3","s1":"s0","s2":"s4","s3":"s6","s4":"s6","s5":"s6","s6":"s3"},"e":{"s0":"s2","s1":"s3","s2":"s6","s3":"s4","s4":"s0","s5":"s3","s6":"s5"},"f":{"s0":"s5","s1":"s5","s2":"s5","s3":"s3","s4":"s3","s5":"s3","s6":"s4"},"g":{"s0":"s6","s1":"s0","s2":"s0","s3":"s5","s4":"s3","s5":"s2","s6":"s5"}} | Given the following FSM:
a b c d e f g
s0 s5 s5 s2 s3 s2 s5 s6
s1 s3 s4 s4 s0 s3 s5 s0
s2 s5 s5 s6 s4 s6 s5 s0
s3 s1 s6 s2 s6 s4 s3 s5
s4 s6 s3 s1 s6 s0 s3 s3
s5 s0 s0 s1 s6 s3 s3 s2
s6 s4 s2 s0 s3 s5 s4 s5
If we are in state s0 and the input is e, what state will we be in next? | s2 |
d9450cb7-2581-4e6e-8a53-1d22988b0a63 | efd9fc9e-0b2f-4a90-a214-b527ff8ee357 | {"states": ["s0", "s1", "s2", "s3", "s6", "s7"], "alphabets": "ab", "accepting_states": ["s6", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s1","s1":"s6","s2":"s6","s3":"s7","s6":"s6","s7":"s3"},"b":{"s0":"s2","s1":"s3","s2":"s7","s3":"s6","s6":"s6","s7":"s3"}} | Given the following FSM:
a b
s0 s1 s2
s1 s6 s3
s2 s6 s7
s3 s7 s6
s6 s6 s6
s7 s3 s3
If we are in state s1 and the input is a, what state will we be in next? | s6 |
6b58cf3a-48ee-4bce-a5a7-707c33e7664b | a55e8f0d-a377-4bea-ad4e-44e4b6251b58 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abcdefg", "accepting_states": ["s4", "s6", "s7", "s10"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s12"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s12", "symbol": "g", "toStates": ["s2"]}]} | 5 | {"a":{"s0":"s2","s1":"s6","s2":"s5","s3":"s1","s4":"s11","s5":"s3","s6":"s8","s7":"s1","s8":"s3","s9":"s4","s10":"s11","s11":"s3","s12":"s1"},"b":{"s0":"s6","s1":"s9","s2":"s11","s3":"s0","s4":"s6","s5":"s6","s6":"s7","s7":"s1","s8":"s10","s9":"s3","s10":"s10","s11":"s8","s12":"s7"},"c":{"s0":"s3","s1":"s8","s2":"s2","s3":"s3","s4":"s7","s5":"s6","s6":"s8","s7":"s7","s8":"s11","s9":"s9","s10":"s8","s11":"s3","s12":"s3"},"d":{"s0":"s6","s1":"s10","s2":"s9","s3":"s6","s4":"s2","s5":"s3","s6":"s3","s7":"s11","s8":"s6","s9":"s3","s10":"s1","s11":"s1","s12":"s0"},"e":{"s0":"s7","s1":"s9","s2":"s8","s3":"s0","s4":"s11","s5":"s0","s6":"s12","s7":"s5","s8":"s3","s9":"s3","s10":"s8","s11":"s4","s12":"s2"},"f":{"s0":"s2","s1":"s5","s2":"s0","s3":"s10","s4":"s9","s5":"s9","s6":"s6","s7":"s10","s8":"s8","s9":"s8","s10":"s4","s11":"s1","s12":"s3"},"g":{"s0":"s12","s1":"s0","s2":"s4","s3":"s0","s4":"s1","s5":"s2","s6":"s4","s7":"s3","s8":"s8","s9":"s10","s10":"s8","s11":"s3","s12":"s2"}} | Given the following FSM:
a b c d e f g
s0 s2 s6 s3 s6 s7 s2 s12
s1 s6 s9 s8 s10 s9 s5 s0
s2 s5 s11 s2 s9 s8 s0 s4
s3 s1 s0 s3 s6 s0 s10 s0
s4 s11 s6 s7 s2 s11 s9 s1
s5 s3 s6 s6 s3 s0 s9 s2
s6 s8 s7 s8 s3 s12 s6 s4
s7 s1 s1 s7 s11 s5 s10 s3
s8 s3 s10 s11 s6 s3 s8 s8
s9 s4 s3 s9 s3 s3 s8 s10
s10 s11 s10 s8 s1 s8 s4 s8
s11 s3 s8 s3 s1 s4 s1 s3
s12 s1 s7 s3 s0 s2 s3 s2
If we are in state s2 and the input is c, what state will we be in next? | s2 |
d1c2dde7-3112-445e-bfd6-f6917bcb6f9a | 000e5b8a-ef0d-4210-8a76-9e58f944931b | {"states": ["s0", "s7"], "alphabets": "a", "accepting_states": ["s0", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}]} | 3 | {"a":{"s0":"s7","s7":"s0"}} | Given the following FSM:
a
s0 s7
s7 s0
If we are in state s7 and the input is a, what state will we be in next? | s0 |
4633d27d-5f1f-4001-a0ec-220e0739ccdb | fe1ad5a8-5ffc-41aa-9594-66e269cd73b7 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s3"]}]} | 4 | {"a":{"s0":"s0","s1":"s1","s2":"s2","s3":"s7","s4":"s6","s5":"s7","s6":"s3","s7":"s3","s8":"s3"},"b":{"s0":"s2","s1":"s2","s2":"s0","s3":"s7","s4":"s5","s5":"s3","s6":"s1","s7":"s0","s8":"s0"},"c":{"s0":"s5","s1":"s7","s2":"s8","s3":"s8","s4":"s5","s5":"s8","s6":"s5","s7":"s5","s8":"s5"},"d":{"s0":"s0","s1":"s3","s2":"s3","s3":"s5","s4":"s5","s5":"s2","s6":"s2","s7":"s1","s8":"s2"},"e":{"s0":"s1","s1":"s1","s2":"s5","s3":"s3","s4":"s2","s5":"s5","s6":"s0","s7":"s2","s8":"s3"},"f":{"s0":"s6","s1":"s4","s2":"s3","s3":"s8","s4":"s4","s5":"s3","s6":"s5","s7":"s1","s8":"s2"},"g":{"s0":"s7","s1":"s3","s2":"s5","s3":"s6","s4":"s0","s5":"s8","s6":"s7","s7":"s4","s8":"s3"}} | Given the following FSM:
a b c d e f g
s0 s0 s2 s5 s0 s1 s6 s7
s1 s1 s2 s7 s3 s1 s4 s3
s2 s2 s0 s8 s3 s5 s3 s5
s3 s7 s7 s8 s5 s3 s8 s6
s4 s6 s5 s5 s5 s2 s4 s0
s5 s7 s3 s8 s2 s5 s3 s8
s6 s3 s1 s5 s2 s0 s5 s7
s7 s3 s0 s5 s1 s2 s1 s4
s8 s3 s0 s5 s2 s3 s2 s3
If we are in state s4 and the input is f, what state will we be in next? | s4 |
245bd4ac-47a3-4571-8ec0-82833d48a0b7 | 340141be-c72d-4cce-a33c-804e89677856 | {"states": ["s0", "s1"], "alphabets": "abcdefghij", "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": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "j", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "j", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s0"},"b":{"s0":"s0","s1":"s1"},"c":{"s0":"s0","s1":"s1"},"d":{"s0":"s1","s1":"s0"},"e":{"s0":"s1","s1":"s1"},"f":{"s0":"s0","s1":"s0"},"g":{"s0":"s0","s1":"s0"},"h":{"s0":"s0","s1":"s0"},"i":{"s0":"s1","s1":"s0"},"j":{"s0":"s1","s1":"s1"}} | Given the following FSM:
a b c d e f g h i j
s0 s0 s0 s0 s1 s1 s0 s0 s0 s1 s1
s1 s0 s1 s1 s0 s1 s0 s0 s0 s0 s1
If we are in state s0 and the input is e, what state will we be in next? | s1 |
9f621110-035c-4f33-8df2-4463d3218906 | fac29b06-e6cb-4d67-a480-cbf4a73eb9fd | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abcdefghi", "accepting_states": ["s8", "s3", "s6", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "i", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "i", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "i", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s12"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s12"]}, {"fromState": "s11", "symbol": "i", "toStates": ["s7"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s12", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "i", "toStates": ["s6"]}]} | 5 | {"a":{"s0":"s3","s1":"s2","s2":"s4","s3":"s10","s4":"s11","s5":"s9","s6":"s6","s7":"s12","s8":"s1","s9":"s4","s10":"s2","s11":"s9","s12":"s6"},"b":{"s0":"s3","s1":"s11","s2":"s11","s3":"s12","s4":"s8","s5":"s1","s6":"s6","s7":"s2","s8":"s5","s9":"s11","s10":"s12","s11":"s4","s12":"s10"},"c":{"s0":"s11","s1":"s7","s2":"s3","s3":"s12","s4":"s7","s5":"s2","s6":"s6","s7":"s11","s8":"s1","s9":"s5","s10":"s12","s11":"s6","s12":"s8"},"d":{"s0":"s11","s1":"s6","s2":"s11","s3":"s6","s4":"s3","s5":"s2","s6":"s8","s7":"s4","s8":"s7","s9":"s12","s10":"s8","s11":"s12","s12":"s8"},"e":{"s0":"s11","s1":"s3","s2":"s4","s3":"s10","s4":"s7","s5":"s1","s6":"s0","s7":"s11","s8":"s7","s9":"s8","s10":"s12","s11":"s2","s12":"s5"},"f":{"s0":"s2","s1":"s5","s2":"s11","s3":"s12","s4":"s10","s5":"s4","s6":"s11","s7":"s2","s8":"s12","s9":"s0","s10":"s3","s11":"s3","s12":"s0"},"g":{"s0":"s0","s1":"s6","s2":"s7","s3":"s5","s4":"s9","s5":"s8","s6":"s5","s7":"s7","s8":"s10","s9":"s12","s10":"s5","s11":"s0","s12":"s5"},"h":{"s0":"s4","s1":"s6","s2":"s8","s3":"s9","s4":"s10","s5":"s8","s6":"s7","s7":"s7","s8":"s7","s9":"s9","s10":"s7","s11":"s12","s12":"s1"},"i":{"s0":"s10","s1":"s6","s2":"s9","s3":"s10","s4":"s4","s5":"s1","s6":"s8","s7":"s11","s8":"s8","s9":"s10","s10":"s1","s11":"s7","s12":"s6"}} | Given the following FSM:
a b c d e f g h i
s0 s3 s3 s11 s11 s11 s2 s0 s4 s10
s1 s2 s11 s7 s6 s3 s5 s6 s6 s6
s2 s4 s11 s3 s11 s4 s11 s7 s8 s9
s3 s10 s12 s12 s6 s10 s12 s5 s9 s10
s4 s11 s8 s7 s3 s7 s10 s9 s10 s4
s5 s9 s1 s2 s2 s1 s4 s8 s8 s1
s6 s6 s6 s6 s8 s0 s11 s5 s7 s8
s7 s12 s2 s11 s4 s11 s2 s7 s7 s11
s8 s1 s5 s1 s7 s7 s12 s10 s7 s8
s9 s4 s11 s5 s12 s8 s0 s12 s9 s10
s10 s2 s12 s12 s8 s12 s3 s5 s7 s1
s11 s9 s4 s6 s12 s2 s3 s0 s12 s7
s12 s6 s10 s8 s8 s5 s0 s5 s1 s6
If we are in state s2 and the input is b, what state will we be in next? | s11 |
30c47387-3b43-41b7-a132-d47ceeeb3c16 | 3406f37d-c4a9-42d4-94d0-99d3756f6066 | {"states": ["s0", "s1", "s2"], "alphabets": "abcdefghij", "accepting_states": ["s1", "s0", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "j", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "j", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "j", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s2","s1":"s2","s2":"s0"},"b":{"s0":"s2","s1":"s1","s2":"s0"},"c":{"s0":"s2","s1":"s1","s2":"s0"},"d":{"s0":"s1","s1":"s1","s2":"s0"},"e":{"s0":"s2","s1":"s2","s2":"s0"},"f":{"s0":"s1","s1":"s0","s2":"s0"},"g":{"s0":"s1","s1":"s0","s2":"s2"},"h":{"s0":"s2","s1":"s1","s2":"s0"},"i":{"s0":"s0","s1":"s2","s2":"s2"},"j":{"s0":"s2","s1":"s0","s2":"s1"}} | Given the following FSM:
a b c d e f g h i j
s0 s2 s2 s2 s1 s2 s1 s1 s2 s0 s2
s1 s2 s1 s1 s1 s2 s0 s0 s1 s2 s0
s2 s0 s0 s0 s0 s0 s0 s2 s0 s2 s1
If we are in state s0 and the input is f, what state will we be in next? | s1 |
8d51b0a0-c218-4191-980a-3e2bfb8b174d | 89043003-ab01-4c18-9c9b-4002cc4dd5e9 | {"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 |
3df9c4d6-5387-47c0-93ae-9e33dc4f8427 | 5b0e9b0c-9c36-4361-86ce-d92b79d34650 | {"states": ["s0", "s2", "s8"], "alphabets": "a", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s8","s2":"s2","s8":"s2"}} | Given the following FSM:
a
s0 s8
s2 s2
s8 s2
If we are in state s8 and the input is a, what state will we be in next? | s2 |
aecfeb01-1ad4-402b-9a13-4c097bf45b78 | a5786e8c-807c-4bea-87d4-f150b9ccfa87 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7"], "alphabets": "abcdefg", "accepting_states": ["s7", "s3", "s4", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"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": ["s6"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s6","s1":"s3","s2":"s4","s3":"s5","s4":"s1","s5":"s2","s6":"s4","s7":"s1"},"b":{"s0":"s7","s1":"s1","s2":"s6","s3":"s4","s4":"s4","s5":"s0","s6":"s1","s7":"s5"},"c":{"s0":"s5","s1":"s6","s2":"s1","s3":"s2","s4":"s2","s5":"s5","s6":"s5","s7":"s5"},"d":{"s0":"s3","s1":"s4","s2":"s0","s3":"s6","s4":"s6","s5":"s7","s6":"s5","s7":"s1"},"e":{"s0":"s7","s1":"s7","s2":"s0","s3":"s0","s4":"s1","s5":"s3","s6":"s1","s7":"s1"},"f":{"s0":"s1","s1":"s6","s2":"s4","s3":"s4","s4":"s3","s5":"s4","s6":"s7","s7":"s0"},"g":{"s0":"s2","s1":"s5","s2":"s2","s3":"s6","s4":"s7","s5":"s5","s6":"s6","s7":"s7"}} | Given the following FSM:
a b c d e f g
s0 s6 s7 s5 s3 s7 s1 s2
s1 s3 s1 s6 s4 s7 s6 s5
s2 s4 s6 s1 s0 s0 s4 s2
s3 s5 s4 s2 s6 s0 s4 s6
s4 s1 s4 s2 s6 s1 s3 s7
s5 s2 s0 s5 s7 s3 s4 s5
s6 s4 s1 s5 s5 s1 s7 s6
s7 s1 s5 s5 s1 s1 s0 s7
If we are in state s0 and the input is f, what state will we be in next? | s1 |
7410f0df-7f44-4ebb-938c-7cfe6875dec6 | b1e5d656-cc96-4511-bdaa-f2b9cdbd1275 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5"], "alphabets": "abcdefghij", "accepting_states": ["s3", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "j", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "j", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "j", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "i", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "j", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "j", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "j", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s0","s1":"s4","s2":"s5","s3":"s4","s4":"s0","s5":"s1"},"b":{"s0":"s1","s1":"s0","s2":"s4","s3":"s1","s4":"s1","s5":"s2"},"c":{"s0":"s2","s1":"s4","s2":"s1","s3":"s1","s4":"s5","s5":"s3"},"d":{"s0":"s5","s1":"s2","s2":"s4","s3":"s5","s4":"s5","s5":"s3"},"e":{"s0":"s4","s1":"s3","s2":"s3","s3":"s1","s4":"s0","s5":"s2"},"f":{"s0":"s2","s1":"s0","s2":"s0","s3":"s5","s4":"s3","s5":"s5"},"g":{"s0":"s4","s1":"s4","s2":"s3","s3":"s3","s4":"s4","s5":"s3"},"h":{"s0":"s5","s1":"s0","s2":"s1","s3":"s1","s4":"s3","s5":"s4"},"i":{"s0":"s5","s1":"s2","s2":"s5","s3":"s4","s4":"s0","s5":"s2"},"j":{"s0":"s0","s1":"s2","s2":"s1","s3":"s3","s4":"s4","s5":"s5"}} | Given the following FSM:
a b c d e f g h i j
s0 s0 s1 s2 s5 s4 s2 s4 s5 s5 s0
s1 s4 s0 s4 s2 s3 s0 s4 s0 s2 s2
s2 s5 s4 s1 s4 s3 s0 s3 s1 s5 s1
s3 s4 s1 s1 s5 s1 s5 s3 s1 s4 s3
s4 s0 s1 s5 s5 s0 s3 s4 s3 s0 s4
s5 s1 s2 s3 s3 s2 s5 s3 s4 s2 s5
If we are in state s1 and the input is i, what state will we be in next? | s2 |
7e05d8a1-e8cc-4bc6-9e23-022d2faa868f | 4972bcf0-da62-418a-b99c-182f662033dc | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7"], "alphabets": "abcde", "accepting_states": ["s5", "s3", "s6", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s3","s1":"s2","s2":"s4","s3":"s2","s4":"s4","s5":"s3","s6":"s0","s7":"s2"},"b":{"s0":"s7","s1":"s5","s2":"s4","s3":"s3","s4":"s4","s5":"s5","s6":"s7","s7":"s5"},"c":{"s0":"s3","s1":"s3","s2":"s1","s3":"s6","s4":"s3","s5":"s0","s6":"s4","s7":"s3"},"d":{"s0":"s1","s1":"s7","s2":"s7","s3":"s0","s4":"s4","s5":"s3","s6":"s7","s7":"s1"},"e":{"s0":"s6","s1":"s7","s2":"s6","s3":"s1","s4":"s4","s5":"s7","s6":"s0","s7":"s1"}} | Given the following FSM:
a b c d e
s0 s3 s7 s3 s1 s6
s1 s2 s5 s3 s7 s7
s2 s4 s4 s1 s7 s6
s3 s2 s3 s6 s0 s1
s4 s4 s4 s3 s4 s4
s5 s3 s5 s0 s3 s7
s6 s0 s7 s4 s7 s0
s7 s2 s5 s3 s1 s1
If we are in state s7 and the input is b, what state will we be in next? | s5 |
2ebe6e74-dac3-47af-bb4b-593391afdee5 | d02d991a-5cfc-4917-ba50-2ba2c4b633f7 | {"states": ["s0", "s1", "s2"], "alphabets": "abc", "accepting_states": ["s2", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}]} | 2 | {"a":{"s0":"s2","s1":"s1","s2":"s1"},"b":{"s0":"s0","s1":"s0","s2":"s0"},"c":{"s0":"s2","s1":"s1","s2":"s1"}} | Given the following FSM:
a b c
s0 s2 s0 s2
s1 s1 s0 s1
s2 s1 s0 s1
If we are in state s2 and the input is c, what state will we be in next? | s1 |
d472592a-7465-485c-a9ab-58b23d2124f3 | 29cb99d9-511b-417a-a89e-c67b99f3bd11 | {"states": ["s0", "s5"], "alphabets": "a", "accepting_states": ["s5", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s5","s5":"s5"}} | Given the following FSM:
a
s0 s5
s5 s5
If we are in state s5 and the input is a, what state will we be in next? | s5 |
95b6a792-027d-43cf-befc-a0076b72660d | 43ba06fe-da99-4880-9228-d31b1b0ae9c2 | {"states": ["s0", "s3", "s6"], "alphabets": "a", "accepting_states": ["s0", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s3","s3":"s6","s6":"s3"}} | Given the following FSM:
a
s0 s3
s3 s6
s6 s3
If we are in state s3 and the input is a, what state will we be in next? | s6 |
7c973c0f-70a0-4276-bf0f-e74575b27b28 | 2120a47f-3d19-4268-889e-1d52aa788f89 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6"], "alphabets": "abcdef", "accepting_states": ["s3", "s1", "s2", "s5", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"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": ["s6"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s0"]}]} | 3 | {"a":{"s0":"s1","s1":"s5","s2":"s4","s3":"s5","s4":"s3","s5":"s5","s6":"s6"},"b":{"s0":"s6","s1":"s0","s2":"s4","s3":"s4","s4":"s4","s5":"s6","s6":"s6"},"c":{"s0":"s5","s1":"s0","s2":"s0","s3":"s4","s4":"s1","s5":"s1","s6":"s6"},"d":{"s0":"s4","s1":"s5","s2":"s0","s3":"s5","s4":"s6","s5":"s4","s6":"s0"},"e":{"s0":"s6","s1":"s5","s2":"s0","s3":"s6","s4":"s0","s5":"s6","s6":"s3"},"f":{"s0":"s1","s1":"s6","s2":"s2","s3":"s6","s4":"s4","s5":"s2","s6":"s0"}} | Given the following FSM:
a b c d e f
s0 s1 s6 s5 s4 s6 s1
s1 s5 s0 s0 s5 s5 s6
s2 s4 s4 s0 s0 s0 s2
s3 s5 s4 s4 s5 s6 s6
s4 s3 s4 s1 s6 s0 s4
s5 s5 s6 s1 s4 s6 s2
s6 s6 s6 s6 s0 s3 s0
If we are in state s0 and the input is e, what state will we be in next? | s6 |
e1bef5ad-6dd1-4e01-9c13-08221e137bf8 | 33d43101-80ad-4045-90a7-557846263b7d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8"], "alphabets": "abcdefg", "accepting_states": ["s2", "s5", "s0", "s7", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s7"]}]} | 4 | {"a":{"s0":"s2","s1":"s6","s2":"s5","s3":"s6","s4":"s0","s5":"s1","s6":"s7","s7":"s4","s8":"s3"},"b":{"s0":"s6","s1":"s6","s2":"s8","s3":"s8","s4":"s4","s5":"s1","s6":"s1","s7":"s1","s8":"s6"},"c":{"s0":"s4","s1":"s5","s2":"s6","s3":"s6","s4":"s7","s5":"s7","s6":"s2","s7":"s2","s8":"s5"},"d":{"s0":"s3","s1":"s4","s2":"s7","s3":"s5","s4":"s3","s5":"s7","s6":"s8","s7":"s2","s8":"s7"},"e":{"s0":"s7","s1":"s7","s2":"s3","s3":"s0","s4":"s1","s5":"s2","s6":"s2","s7":"s8","s8":"s8"},"f":{"s0":"s3","s1":"s1","s2":"s3","s3":"s0","s4":"s4","s5":"s8","s6":"s2","s7":"s8","s8":"s5"},"g":{"s0":"s3","s1":"s6","s2":"s3","s3":"s2","s4":"s0","s5":"s8","s6":"s1","s7":"s0","s8":"s7"}} | Given the following FSM:
a b c d e f g
s0 s2 s6 s4 s3 s7 s3 s3
s1 s6 s6 s5 s4 s7 s1 s6
s2 s5 s8 s6 s7 s3 s3 s3
s3 s6 s8 s6 s5 s0 s0 s2
s4 s0 s4 s7 s3 s1 s4 s0
s5 s1 s1 s7 s7 s2 s8 s8
s6 s7 s1 s2 s8 s2 s2 s1
s7 s4 s1 s2 s2 s8 s8 s0
s8 s3 s6 s5 s7 s8 s5 s7
If we are in state s1 and the input is g, what state will we be in next? | s6 |
a755d878-a7ef-4e9e-8430-830601e668fe | cdd8276e-25e7-48ce-b86c-db5272dea401 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12", "s13", "s14"], "alphabets": "abcdefg", "accepting_states": ["s6", "s3", "s5", "s8", "s13", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s14"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s12"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s13"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s14"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s13"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s14"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s13"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s14"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s14"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s14"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s14"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s12"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s14"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s13"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s13"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s14"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s13"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s14"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s12", "symbol": "g", "toStates": ["s13"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s13", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s13", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s13", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s13", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s13", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s14", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s14", "symbol": "b", "toStates": ["s14"]}, {"fromState": "s14", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s14", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s14", "symbol": "e", "toStates": ["s14"]}, {"fromState": "s14", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s14", "symbol": "g", "toStates": ["s10"]}]} | 5 | {"a":{"s0":"s2","s1":"s5","s2":"s6","s3":"s13","s4":"s3","s5":"s9","s6":"s12","s7":"s0","s8":"s14","s9":"s3","s10":"s2","s11":"s14","s12":"s3","s13":"s7","s14":"s3"},"b":{"s0":"s10","s1":"s6","s2":"s8","s3":"s6","s4":"s11","s5":"s9","s6":"s12","s7":"s5","s8":"s3","s9":"s13","s10":"s8","s11":"s12","s12":"s7","s13":"s13","s14":"s14"},"c":{"s0":"s8","s1":"s12","s2":"s7","s3":"s0","s4":"s9","s5":"s0","s6":"s11","s7":"s11","s8":"s7","s9":"s2","s10":"s13","s11":"s12","s12":"s12","s13":"s6","s14":"s2"},"d":{"s0":"s6","s1":"s13","s2":"s2","s3":"s1","s4":"s7","s5":"s14","s6":"s14","s7":"s10","s8":"s4","s9":"s6","s10":"s11","s11":"s8","s12":"s8","s13":"s12","s14":"s6"},"e":{"s0":"s14","s1":"s3","s2":"s13","s3":"s14","s4":"s2","s5":"s4","s6":"s8","s7":"s5","s8":"s14","s9":"s3","s10":"s1","s11":"s0","s12":"s8","s13":"s2","s14":"s14"},"f":{"s0":"s9","s1":"s6","s2":"s1","s3":"s8","s4":"s13","s5":"s13","s6":"s5","s7":"s14","s8":"s7","s9":"s14","s10":"s12","s11":"s13","s12":"s5","s13":"s5","s14":"s3"},"g":{"s0":"s2","s1":"s12","s2":"s7","s3":"s5","s4":"s6","s5":"s10","s6":"s12","s7":"s10","s8":"s12","s9":"s1","s10":"s13","s11":"s14","s12":"s13","s13":"s7","s14":"s10"}} | Given the following FSM:
a b c d e f g
s0 s2 s10 s8 s6 s14 s9 s2
s1 s5 s6 s12 s13 s3 s6 s12
s2 s6 s8 s7 s2 s13 s1 s7
s3 s13 s6 s0 s1 s14 s8 s5
s4 s3 s11 s9 s7 s2 s13 s6
s5 s9 s9 s0 s14 s4 s13 s10
s6 s12 s12 s11 s14 s8 s5 s12
s7 s0 s5 s11 s10 s5 s14 s10
s8 s14 s3 s7 s4 s14 s7 s12
s9 s3 s13 s2 s6 s3 s14 s1
s10 s2 s8 s13 s11 s1 s12 s13
s11 s14 s12 s12 s8 s0 s13 s14
s12 s3 s7 s12 s8 s8 s5 s13
s13 s7 s13 s6 s12 s2 s5 s7
s14 s3 s14 s2 s6 s14 s3 s10
If we are in state s4 and the input is d, what state will we be in next? | s7 |
1f4288c1-cb36-425e-a4ed-3e41c2611fdc | 625c8d33-a9da-4430-b342-87143684be91 | {"states": ["s0", "s1", "s2", "s3"], "alphabets": "abcdef", "accepting_states": ["s1", "s2", "s0", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s3","s1":"s3","s2":"s1","s3":"s0"},"b":{"s0":"s2","s1":"s2","s2":"s2","s3":"s2"},"c":{"s0":"s0","s1":"s1","s2":"s0","s3":"s0"},"d":{"s0":"s1","s1":"s2","s2":"s3","s3":"s3"},"e":{"s0":"s2","s1":"s3","s2":"s3","s3":"s1"},"f":{"s0":"s3","s1":"s0","s2":"s2","s3":"s1"}} | Given the following FSM:
a b c d e f
s0 s3 s2 s0 s1 s2 s3
s1 s3 s2 s1 s2 s3 s0
s2 s1 s2 s0 s3 s3 s2
s3 s0 s2 s0 s3 s1 s1
If we are in state s0 and the input is c, what state will we be in next? | s0 |
eefdce84-db0b-4e5b-82d5-b8b70b10fa14 | f61750fa-cf1e-4b25-8bf3-481d2dcc6609 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11"], "alphabets": "abcdef", "accepting_states": ["s8", "s1", "s0", "s2", "s7"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s5"]}]} | 4 | {"a":{"s0":"s11","s1":"s10","s2":"s8","s3":"s8","s4":"s11","s5":"s7","s6":"s3","s7":"s3","s8":"s4","s9":"s8","s10":"s4","s11":"s4"},"b":{"s0":"s2","s1":"s0","s2":"s3","s3":"s6","s4":"s7","s5":"s9","s6":"s2","s7":"s8","s8":"s6","s9":"s8","s10":"s8","s11":"s10"},"c":{"s0":"s0","s1":"s8","s2":"s5","s3":"s3","s4":"s10","s5":"s9","s6":"s3","s7":"s10","s8":"s3","s9":"s1","s10":"s8","s11":"s3"},"d":{"s0":"s4","s1":"s9","s2":"s7","s3":"s7","s4":"s5","s5":"s6","s6":"s4","s7":"s7","s8":"s0","s9":"s10","s10":"s1","s11":"s11"},"e":{"s0":"s0","s1":"s7","s2":"s2","s3":"s9","s4":"s3","s5":"s9","s6":"s7","s7":"s8","s8":"s10","s9":"s0","s10":"s2","s11":"s0"},"f":{"s0":"s2","s1":"s8","s2":"s0","s3":"s6","s4":"s1","s5":"s8","s6":"s6","s7":"s3","s8":"s6","s9":"s1","s10":"s7","s11":"s5"}} | Given the following FSM:
a b c d e f
s0 s11 s2 s0 s4 s0 s2
s1 s10 s0 s8 s9 s7 s8
s2 s8 s3 s5 s7 s2 s0
s3 s8 s6 s3 s7 s9 s6
s4 s11 s7 s10 s5 s3 s1
s5 s7 s9 s9 s6 s9 s8
s6 s3 s2 s3 s4 s7 s6
s7 s3 s8 s10 s7 s8 s3
s8 s4 s6 s3 s0 s10 s6
s9 s8 s8 s1 s10 s0 s1
s10 s4 s8 s8 s1 s2 s7
s11 s4 s10 s3 s11 s0 s5
If we are in state s1 and the input is e, what state will we be in next? | s7 |
a68d8cef-e343-4882-bfd3-b8479efa3f81 | 8587d454-5abc-429f-be10-6cc3b19dd764 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12"], "alphabets": "abcd", "accepting_states": ["s6", "s5", "s7", "s3", "s1", "s11", "s4", "s12", "s10"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s12"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s12"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s12"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s2"]}]} | 4 | {"a":{"s0":"s12","s1":"s2","s2":"s8","s3":"s12","s4":"s3","s5":"s1","s6":"s0","s7":"s10","s8":"s3","s9":"s9","s10":"s8","s11":"s5","s12":"s7"},"b":{"s0":"s3","s1":"s0","s2":"s0","s3":"s6","s4":"s7","s5":"s11","s6":"s9","s7":"s7","s8":"s8","s9":"s5","s10":"s12","s11":"s12","s12":"s12"},"c":{"s0":"s7","s1":"s1","s2":"s5","s3":"s8","s4":"s1","s5":"s11","s6":"s10","s7":"s12","s8":"s10","s9":"s3","s10":"s8","s11":"s3","s12":"s0"},"d":{"s0":"s5","s1":"s11","s2":"s11","s3":"s2","s4":"s12","s5":"s6","s6":"s6","s7":"s10","s8":"s4","s9":"s8","s10":"s10","s11":"s7","s12":"s2"}} | Given the following FSM:
a b c d
s0 s12 s3 s7 s5
s1 s2 s0 s1 s11
s2 s8 s0 s5 s11
s3 s12 s6 s8 s2
s4 s3 s7 s1 s12
s5 s1 s11 s11 s6
s6 s0 s9 s10 s6
s7 s10 s7 s12 s10
s8 s3 s8 s10 s4
s9 s9 s5 s3 s8
s10 s8 s12 s8 s10
s11 s5 s12 s3 s7
s12 s7 s12 s0 s2
If we are in state s2 and the input is c, what state will we be in next? | s5 |
62ad1f75-39c0-4d92-9d4b-1ee297c371ef | 08daf2a6-1c2a-4f16-8b4a-d5a13f69868b | {"states": ["s0"], "alphabets": "abc", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}]} | 1 | {"a":{"s0":"s0"},"b":{"s0":"s0"},"c":{"s0":"s0"}} | Given the following FSM:
a b c
s0 s0 s0 s0
If we are in state s0 and the input is c, what state will we be in next? | s0 |
1d733d07-f80b-4157-abc9-5d02b7accc9c | ad250232-015d-4bcc-9911-5197c34c18a5 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcde", "accepting_states": ["s1", "s0", "s5", "s6", "s9", "s3", "s4", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s4"]}]} | 4 | {"a":{"s0":"s3","s1":"s6","s2":"s1","s3":"s3","s4":"s8","s5":"s7","s6":"s5","s7":"s8","s8":"s0","s9":"s6"},"b":{"s0":"s9","s1":"s5","s2":"s4","s3":"s5","s4":"s8","s5":"s2","s6":"s2","s7":"s1","s8":"s6","s9":"s6"},"c":{"s0":"s2","s1":"s4","s2":"s2","s3":"s8","s4":"s6","s5":"s2","s6":"s8","s7":"s8","s8":"s1","s9":"s2"},"d":{"s0":"s0","s1":"s3","s2":"s1","s3":"s3","s4":"s7","s5":"s2","s6":"s9","s7":"s4","s8":"s1","s9":"s9"},"e":{"s0":"s1","s1":"s4","s2":"s2","s3":"s2","s4":"s4","s5":"s7","s6":"s0","s7":"s3","s8":"s5","s9":"s4"}} | Given the following FSM:
a b c d e
s0 s3 s9 s2 s0 s1
s1 s6 s5 s4 s3 s4
s2 s1 s4 s2 s1 s2
s3 s3 s5 s8 s3 s2
s4 s8 s8 s6 s7 s4
s5 s7 s2 s2 s2 s7
s6 s5 s2 s8 s9 s0
s7 s8 s1 s8 s4 s3
s8 s0 s6 s1 s1 s5
s9 s6 s6 s2 s9 s4
If we are in state s8 and the input is a, what state will we be in next? | s0 |
60b778e8-c27f-4f1e-8a85-bd638b49067e | 52e0e21a-375c-4466-9598-8607372da3be | {"states": ["s0"], "alphabets": "abcde", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}]} | 2 | {"a":{"s0":"s0"},"b":{"s0":"s0"},"c":{"s0":"s0"},"d":{"s0":"s0"},"e":{"s0":"s0"}} | Given the following FSM:
a b c d e
s0 s0 s0 s0 s0 s0
If we are in state s0 and the input is b, what state will we be in next? | s0 |
00d16601-5383-4776-b47f-2a14a224f9a7 | 98717e31-43ec-435c-a0de-536a4a0ef996 | {"states": ["s0", "s1", "s2", "s3"], "alphabets": "abcdef", "accepting_states": ["s2", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s3","s1":"s0","s2":"s2","s3":"s1"},"b":{"s0":"s0","s1":"s2","s2":"s1","s3":"s1"},"c":{"s0":"s3","s1":"s3","s2":"s1","s3":"s1"},"d":{"s0":"s2","s1":"s2","s2":"s3","s3":"s2"},"e":{"s0":"s3","s1":"s2","s2":"s2","s3":"s0"},"f":{"s0":"s2","s1":"s1","s2":"s3","s3":"s2"}} | Given the following FSM:
a b c d e f
s0 s3 s0 s3 s2 s3 s2
s1 s0 s2 s3 s2 s2 s1
s2 s2 s1 s1 s3 s2 s3
s3 s1 s1 s1 s2 s0 s2
If we are in state s1 and the input is e, what state will we be in next? | s2 |
271efcec-0455-4ea2-b908-bf3a73130190 | 6f3b4772-7347-4b0b-a2b8-e78cec1fcfe0 | {"states": ["s0", "s1", "s2", "s4", "s5", "s8", "s9"], "alphabets": "ab", "accepting_states": ["s9", "s0", "s2", "s4", "s8", "s5", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s8","s1":"s0","s2":"s5","s4":"s4","s5":"s5","s8":"s2","s9":"s2"},"b":{"s0":"s4","s1":"s2","s2":"s1","s4":"s8","s5":"s8","s8":"s9","s9":"s5"}} | Given the following FSM:
a b
s0 s8 s4
s1 s0 s2
s2 s5 s1
s4 s4 s8
s5 s5 s8
s8 s2 s9
s9 s2 s5
If we are in state s4 and the input is b, what state will we be in next? | s8 |
339b5749-2adb-4f77-b6da-2bc62931c9de | 7e637e31-b26d-4044-b6a9-cb30dde9365b | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7"], "alphabets": "abc", "accepting_states": ["s3", "s5", "s0", "s6", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s7","s1":"s2","s2":"s1","s3":"s2","s4":"s5","s5":"s5","s6":"s2","s7":"s6"},"b":{"s0":"s4","s1":"s5","s2":"s2","s3":"s6","s4":"s4","s5":"s4","s6":"s5","s7":"s3"},"c":{"s0":"s1","s1":"s1","s2":"s4","s3":"s7","s4":"s3","s5":"s7","s6":"s6","s7":"s1"}} | Given the following FSM:
a b c
s0 s7 s4 s1
s1 s2 s5 s1
s2 s1 s2 s4
s3 s2 s6 s7
s4 s5 s4 s3
s5 s5 s4 s7
s6 s2 s5 s6
s7 s6 s3 s1
If we are in state s0 and the input is b, what state will we be in next? | s4 |
cdd70ba6-5b9d-40b8-9437-95918da0e882 | 6dc555cd-58d7-4a5a-8b76-c6001701903f | {"states": ["s0", "s4", "s5", "s8"], "alphabets": "a", "accepting_states": ["s0", "s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s8","s4":"s8","s5":"s4","s8":"s5"}} | Given the following FSM:
a
s0 s8
s4 s8
s5 s4
s8 s5
If we are in state s8 and the input is a, what state will we be in next? | s5 |
11e5eb04-225c-4367-a24e-6c48195b9781 | ec6b36a8-dc0d-4861-9b57-9e1ef0470d89 | {"states": ["s0", "s1", "s2"], "alphabets": "abcdefghi", "accepting_states": ["s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s0"]}]} | 3 | {"a":{"s0":"s0","s1":"s2","s2":"s0"},"b":{"s0":"s1","s1":"s2","s2":"s1"},"c":{"s0":"s2","s1":"s2","s2":"s1"},"d":{"s0":"s1","s1":"s2","s2":"s0"},"e":{"s0":"s0","s1":"s2","s2":"s0"},"f":{"s0":"s1","s1":"s1","s2":"s1"},"g":{"s0":"s2","s1":"s2","s2":"s1"},"h":{"s0":"s2","s1":"s2","s2":"s1"},"i":{"s0":"s2","s1":"s2","s2":"s0"}} | Given the following FSM:
a b c d e f g h i
s0 s0 s1 s2 s1 s0 s1 s2 s2 s2
s1 s2 s2 s2 s2 s2 s1 s2 s2 s2
s2 s0 s1 s1 s0 s0 s1 s1 s1 s0
If we are in state s0 and the input is f, what state will we be in next? | s1 |
e593be01-7304-4147-b666-993c5bcc8012 | 104ecc81-be1f-47d5-93ea-f2e3147f602a | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11"], "alphabets": "abcd", "accepting_states": ["s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s0"]}]} | 4 | {"a":{"s0":"s3","s1":"s2","s2":"s9","s3":"s2","s4":"s9","s5":"s1","s6":"s5","s7":"s3","s8":"s0","s9":"s10","s10":"s11","s11":"s2"},"b":{"s0":"s0","s1":"s3","s2":"s0","s3":"s3","s4":"s8","s5":"s8","s6":"s8","s7":"s1","s8":"s5","s9":"s1","s10":"s3","s11":"s8"},"c":{"s0":"s1","s1":"s3","s2":"s9","s3":"s2","s4":"s11","s5":"s10","s6":"s5","s7":"s7","s8":"s2","s9":"s5","s10":"s6","s11":"s0"},"d":{"s0":"s1","s1":"s9","s2":"s7","s3":"s2","s4":"s7","s5":"s7","s6":"s2","s7":"s0","s8":"s4","s9":"s8","s10":"s0","s11":"s0"}} | Given the following FSM:
a b c d
s0 s3 s0 s1 s1
s1 s2 s3 s3 s9
s2 s9 s0 s9 s7
s3 s2 s3 s2 s2
s4 s9 s8 s11 s7
s5 s1 s8 s10 s7
s6 s5 s8 s5 s2
s7 s3 s1 s7 s0
s8 s0 s5 s2 s4
s9 s10 s1 s5 s8
s10 s11 s3 s6 s0
s11 s2 s8 s0 s0
If we are in state s10 and the input is a, what state will we be in next? | s11 |
dc2fce64-cefe-4a23-b111-6b105d74d891 | 3c048e66-ab6a-4205-a393-70aa7aceed2e | {"states": ["s0", "s1"], "alphabets": "abcdefg", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}]} | 2 | {"a":{"s0":"s1","s1":"s0"},"b":{"s0":"s0","s1":"s1"},"c":{"s0":"s0","s1":"s1"},"d":{"s0":"s0","s1":"s1"},"e":{"s0":"s0","s1":"s0"},"f":{"s0":"s0","s1":"s1"},"g":{"s0":"s0","s1":"s0"}} | Given the following FSM:
a b c d e f g
s0 s1 s0 s0 s0 s0 s0 s0
s1 s0 s1 s1 s1 s0 s1 s0
If we are in state s1 and the input is g, what state will we be in next? | s0 |
ce37b328-a0cf-4c50-815d-41babd96a904 | a1b43804-05cb-43f8-8683-4fa327056cf4 | {"states": ["s0", "s1", "s2", "s3", "s4"], "alphabets": "abcde", "accepting_states": ["s0", "s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s2","s1":"s0","s2":"s1","s3":"s3","s4":"s4"},"b":{"s0":"s1","s1":"s2","s2":"s0","s3":"s1","s4":"s4"},"c":{"s0":"s2","s1":"s3","s2":"s0","s3":"s3","s4":"s2"},"d":{"s0":"s4","s1":"s0","s2":"s0","s3":"s3","s4":"s3"},"e":{"s0":"s4","s1":"s2","s2":"s4","s3":"s1","s4":"s3"}} | Given the following FSM:
a b c d e
s0 s2 s1 s2 s4 s4
s1 s0 s2 s3 s0 s2
s2 s1 s0 s0 s0 s4
s3 s3 s1 s3 s3 s1
s4 s4 s4 s2 s3 s3
If we are in state s4 and the input is d, what state will we be in next? | s3 |
22328b14-b701-49c8-926c-85079024d0fe | 144e2b0a-02a7-43f4-be3f-839b98e52706 | {"states": ["s0"], "alphabets": "a", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}]} | 1 | {"a":{"s0":"s0"}} | Given the following FSM:
a
s0 s0
If we are in state s0 and the input is a, what state will we be in next? | s0 |
1c9d80df-c8f0-4117-b806-505a96eb73f8 | 9ba45ec6-cc74-4254-8ee3-d2d86a560c4a | {"states": ["s0"], "alphabets": "abcdefghi", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s0"]}]} | 3 | {"a":{"s0":"s0"},"b":{"s0":"s0"},"c":{"s0":"s0"},"d":{"s0":"s0"},"e":{"s0":"s0"},"f":{"s0":"s0"},"g":{"s0":"s0"},"h":{"s0":"s0"},"i":{"s0":"s0"}} | Given the following FSM:
a b c d e f g h i
s0 s0 s0 s0 s0 s0 s0 s0 s0 s0
If we are in state s0 and the input is i, what state will we be in next? | s0 |
34e8c034-f3af-4a57-805d-cc3ec9bbd9fb | a58a4d57-60ed-4900-a7b7-badc0d4a7a62 | {"states": ["s0", "s2"], "alphabets": "a", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}]} | 3 | {"a":{"s0":"s2","s2":"s2"}} | Given the following FSM:
a
s0 s2
s2 s2
If we are in state s0 and the input is a, what state will we be in next? | s2 |
9e04f929-eacd-429e-af88-360a547b7e6f | 77890d66-d560-402d-824c-6d6854de5b13 | {"states": ["s0", "s1", "s2", "s3", "s4"], "alphabets": "abcdefg", "accepting_states": ["s0", "s2", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s1","s1":"s4","s2":"s1","s3":"s2","s4":"s3"},"b":{"s0":"s3","s1":"s4","s2":"s2","s3":"s3","s4":"s1"},"c":{"s0":"s1","s1":"s4","s2":"s1","s3":"s2","s4":"s4"},"d":{"s0":"s1","s1":"s0","s2":"s3","s3":"s3","s4":"s4"},"e":{"s0":"s4","s1":"s1","s2":"s4","s3":"s3","s4":"s4"},"f":{"s0":"s2","s1":"s1","s2":"s3","s3":"s3","s4":"s1"},"g":{"s0":"s4","s1":"s2","s2":"s3","s3":"s1","s4":"s3"}} | Given the following FSM:
a b c d e f g
s0 s1 s3 s1 s1 s4 s2 s4
s1 s4 s4 s4 s0 s1 s1 s2
s2 s1 s2 s1 s3 s4 s3 s3
s3 s2 s3 s2 s3 s3 s3 s1
s4 s3 s1 s4 s4 s4 s1 s3
If we are in state s0 and the input is d, what state will we be in next? | s1 |
82319389-d56f-4a2c-823d-8fb09b968e97 | b2e0e396-7629-4552-bc09-ba59384d45d8 | {"states": ["s0", "s1", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11"], "alphabets": "ab", "accepting_states": ["s5", "s6", "s3", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s3","s1":"s3","s3":"s6","s4":"s9","s5":"s6","s6":"s7","s7":"s10","s8":"s11","s9":"s3","s10":"s0","s11":"s1"},"b":{"s0":"s6","s1":"s8","s3":"s10","s4":"s3","s5":"s4","s6":"s5","s7":"s9","s8":"s3","s9":"s11","s10":"s10","s11":"s5"}} | Given the following FSM:
a b
s0 s3 s6
s1 s3 s8
s3 s6 s10
s4 s9 s3
s5 s6 s4
s6 s7 s5
s7 s10 s9
s8 s11 s3
s9 s3 s11
s10 s0 s10
s11 s1 s5
If we are in state s9 and the input is a, what state will we be in next? | s3 |
4f03c31f-0c9c-4515-b43e-bc818bd0a4af | 30d3fe78-edad-4504-a2d9-ebcb835be609 | {"states": ["s0"], "alphabets": "abc", "accepting_states": ["s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}]} | 1 | {"a":{"s0":"s0"},"b":{"s0":"s0"},"c":{"s0":"s0"}} | Given the following FSM:
a b c
s0 s0 s0 s0
If we are in state s0 and the input is a, what state will we be in next? | s0 |
cf7b0f83-ea16-46a7-9630-dd631fe129a9 | ee429ddf-a233-4210-83d6-250cb35f25c6 | {"states": ["s0", "s1", "s2", "s3"], "alphabets": "abcdefgh", "accepting_states": ["s3"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"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": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s0","s1":"s3","s2":"s2","s3":"s2"},"b":{"s0":"s3","s1":"s0","s2":"s0","s3":"s2"},"c":{"s0":"s1","s1":"s0","s2":"s0","s3":"s2"},"d":{"s0":"s1","s1":"s0","s2":"s2","s3":"s3"},"e":{"s0":"s0","s1":"s2","s2":"s2","s3":"s3"},"f":{"s0":"s1","s1":"s1","s2":"s3","s3":"s1"},"g":{"s0":"s3","s1":"s0","s2":"s2","s3":"s1"},"h":{"s0":"s2","s1":"s0","s2":"s0","s3":"s3"}} | Given the following FSM:
a b c d e f g h
s0 s0 s3 s1 s1 s0 s1 s3 s2
s1 s3 s0 s0 s0 s2 s1 s0 s0
s2 s2 s0 s0 s2 s2 s3 s2 s0
s3 s2 s2 s2 s3 s3 s1 s1 s3
If we are in state s1 and the input is e, what state will we be in next? | s2 |
285fe8b5-1e8f-4cf9-af07-86f8f940f6a7 | e07763fd-4d3f-4853-8361-1131f8a5f93b | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s8", "s9", "s1", "s2", "s5", "s4"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s5"]}]} | 3 | {"a":{"s0":"s4","s1":"s5","s2":"s6","s3":"s8","s4":"s5","s5":"s1","s6":"s7","s7":"s3","s8":"s9","s9":"s1"},"b":{"s0":"s8","s1":"s3","s2":"s4","s3":"s1","s4":"s9","s5":"s2","s6":"s7","s7":"s4","s8":"s0","s9":"s9"},"c":{"s0":"s2","s1":"s7","s2":"s6","s3":"s0","s4":"s9","s5":"s9","s6":"s7","s7":"s2","s8":"s3","s9":"s5"},"d":{"s0":"s2","s1":"s8","s2":"s8","s3":"s2","s4":"s5","s5":"s3","s6":"s8","s7":"s1","s8":"s8","s9":"s5"}} | Given the following FSM:
a b c d
s0 s4 s8 s2 s2
s1 s5 s3 s7 s8
s2 s6 s4 s6 s8
s3 s8 s1 s0 s2
s4 s5 s9 s9 s5
s5 s1 s2 s9 s3
s6 s7 s7 s7 s8
s7 s3 s4 s2 s1
s8 s9 s0 s3 s8
s9 s1 s9 s5 s5
If we are in state s8 and the input is c, what state will we be in next? | s3 |
13b77b2a-7aab-421e-b109-baa1208c789f | 4b83b2fc-f47a-49ec-89b5-888835b0d107 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10", "s11", "s12", "s13", "s14"], "alphabets": "abcdefgh", "accepting_states": ["s7", "s3", "s13", "s11", "s6", "s10", "s14", "s12", "s1", "s8", "s4", "s0", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s14"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s12"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s14"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s12"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s11"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s14"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s14"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s14"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s14"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s13"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s11"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s14"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s14"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s11"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s13"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s13"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s14"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s14"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s11"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s14"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s13"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s14"]}, {"fromState": "s11", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s11", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s11", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s11", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s11", "symbol": "e", "toStates": ["s14"]}, {"fromState": "s11", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s11", "symbol": "g", "toStates": ["s13"]}, {"fromState": "s11", "symbol": "h", "toStates": ["s14"]}, {"fromState": "s12", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s12", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s12", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "d", "toStates": ["s13"]}, {"fromState": "s12", "symbol": "e", "toStates": ["s11"]}, {"fromState": "s12", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s12", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s12", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s13", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s13", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s13", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s13", "symbol": "f", "toStates": ["s11"]}, {"fromState": "s13", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s13", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s14", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s14", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s14", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s14", "symbol": "d", "toStates": ["s12"]}, {"fromState": "s14", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s14", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s14", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s14", "symbol": "h", "toStates": ["s3"]}]} | 5 | {"a":{"s0":"s0","s1":"s2","s2":"s8","s3":"s7","s4":"s4","s5":"s11","s6":"s4","s7":"s5","s8":"s13","s9":"s4","s10":"s9","s11":"s7","s12":"s3","s13":"s2","s14":"s1"},"b":{"s0":"s13","s1":"s11","s2":"s8","s3":"s2","s4":"s13","s5":"s14","s6":"s10","s7":"s6","s8":"s5","s9":"s14","s10":"s6","s11":"s4","s12":"s8","s13":"s3","s14":"s7"},"c":{"s0":"s1","s1":"s4","s2":"s10","s3":"s2","s4":"s2","s5":"s1","s6":"s3","s7":"s1","s8":"s6","s9":"s11","s10":"s1","s11":"s9","s12":"s1","s13":"s9","s14":"s3"},"d":{"s0":"s2","s1":"s1","s2":"s14","s3":"s1","s4":"s2","s5":"s6","s6":"s11","s7":"s3","s8":"s2","s9":"s13","s10":"s14","s11":"s12","s12":"s13","s13":"s9","s14":"s12"},"e":{"s0":"s14","s1":"s1","s2":"s5","s3":"s14","s4":"s9","s5":"s14","s6":"s0","s7":"s9","s8":"s14","s9":"s7","s10":"s13","s11":"s14","s12":"s11","s13":"s5","s14":"s8"},"f":{"s0":"s12","s1":"s2","s2":"s10","s3":"s6","s4":"s0","s5":"s9","s6":"s8","s7":"s0","s8":"s4","s9":"s0","s10":"s3","s11":"s11","s12":"s2","s13":"s11","s14":"s1"},"g":{"s0":"s14","s1":"s9","s2":"s2","s3":"s14","s4":"s6","s5":"s3","s6":"s0","s7":"s6","s8":"s9","s9":"s7","s10":"s3","s11":"s13","s12":"s1","s13":"s3","s14":"s6"},"h":{"s0":"s12","s1":"s3","s2":"s14","s3":"s10","s4":"s11","s5":"s2","s6":"s13","s7":"s3","s8":"s9","s9":"s9","s10":"s14","s11":"s14","s12":"s3","s13":"s10","s14":"s3"}} | Given the following FSM:
a b c d e f g h
s0 s0 s13 s1 s2 s14 s12 s14 s12
s1 s2 s11 s4 s1 s1 s2 s9 s3
s2 s8 s8 s10 s14 s5 s10 s2 s14
s3 s7 s2 s2 s1 s14 s6 s14 s10
s4 s4 s13 s2 s2 s9 s0 s6 s11
s5 s11 s14 s1 s6 s14 s9 s3 s2
s6 s4 s10 s3 s11 s0 s8 s0 s13
s7 s5 s6 s1 s3 s9 s0 s6 s3
s8 s13 s5 s6 s2 s14 s4 s9 s9
s9 s4 s14 s11 s13 s7 s0 s7 s9
s10 s9 s6 s1 s14 s13 s3 s3 s14
s11 s7 s4 s9 s12 s14 s11 s13 s14
s12 s3 s8 s1 s13 s11 s2 s1 s3
s13 s2 s3 s9 s9 s5 s11 s3 s10
s14 s1 s7 s3 s12 s8 s1 s6 s3
If we are in state s12 and the input is e, what state will we be in next? | s11 |
bf9a4aad-4032-4089-b572-7fa765f99064 | 38bc1814-7638-441a-8e52-c38f7492b30a | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6"], "alphabets": "abcdef", "accepting_states": ["s4", "s6", "s5"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s4"]}]} | 3 | {"a":{"s0":"s5","s1":"s5","s2":"s3","s3":"s0","s4":"s2","s5":"s4","s6":"s3"},"b":{"s0":"s4","s1":"s4","s2":"s4","s3":"s3","s4":"s2","s5":"s2","s6":"s6"},"c":{"s0":"s6","s1":"s0","s2":"s4","s3":"s4","s4":"s2","s5":"s2","s6":"s6"},"d":{"s0":"s3","s1":"s3","s2":"s6","s3":"s0","s4":"s4","s5":"s0","s6":"s5"},"e":{"s0":"s4","s1":"s4","s2":"s1","s3":"s3","s4":"s4","s5":"s0","s6":"s4"},"f":{"s0":"s3","s1":"s1","s2":"s4","s3":"s1","s4":"s2","s5":"s5","s6":"s4"}} | Given the following FSM:
a b c d e f
s0 s5 s4 s6 s3 s4 s3
s1 s5 s4 s0 s3 s4 s1
s2 s3 s4 s4 s6 s1 s4
s3 s0 s3 s4 s0 s3 s1
s4 s2 s2 s2 s4 s4 s2
s5 s4 s2 s2 s0 s0 s5
s6 s3 s6 s6 s5 s4 s4
If we are in state s1 and the input is b, what state will we be in next? | s4 |
08011de7-513f-47bf-97e8-718ecbcb54cf | ac3b989a-4bbd-4899-b7e4-c09e5a683adf | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9", "s10"], "alphabets": "abcdefgh", "accepting_states": ["s3", "s5", "s8", "s4", "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": ["s9"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s10"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "e", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "f", "toStates": ["s7"]}, {"fromState": "s4", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s4", "symbol": "h", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "f", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s5", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s6", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "f", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "g", "toStates": ["s5"]}, {"fromState": "s6", "symbol": "h", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s7", "symbol": "e", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "g", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "h", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "e", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "f", "toStates": ["s10"]}, {"fromState": "s8", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s8", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "g", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "h", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s10"]}, {"fromState": "s10", "symbol": "d", "toStates": ["s4"]}, {"fromState": "s10", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s10", "symbol": "f", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "g", "toStates": ["s6"]}, {"fromState": "s10", "symbol": "h", "toStates": ["s0"]}]} | 4 | {"a":{"s0":"s5","s1":"s9","s2":"s3","s3":"s6","s4":"s4","s5":"s5","s6":"s8","s7":"s6","s8":"s1","s9":"s6","s10":"s1"},"b":{"s0":"s4","s1":"s4","s2":"s2","s3":"s7","s4":"s1","s5":"s4","s6":"s7","s7":"s5","s8":"s2","s9":"s5","s10":"s9"},"c":{"s0":"s2","s1":"s8","s2":"s0","s3":"s9","s4":"s7","s5":"s6","s6":"s3","s7":"s3","s8":"s10","s9":"s8","s10":"s10"},"d":{"s0":"s9","s1":"s3","s2":"s0","s3":"s6","s4":"s1","s5":"s7","s6":"s9","s7":"s0","s8":"s5","s9":"s2","s10":"s4"},"e":{"s0":"s8","s1":"s10","s2":"s2","s3":"s3","s4":"s9","s5":"s0","s6":"s4","s7":"s4","s8":"s5","s9":"s2","s10":"s1"},"f":{"s0":"s8","s1":"s5","s2":"s1","s3":"s0","s4":"s7","s5":"s8","s6":"s6","s7":"s5","s8":"s10","s9":"s0","s10":"s5"},"g":{"s0":"s5","s1":"s8","s2":"s3","s3":"s4","s4":"s6","s5":"s5","s6":"s5","s7":"s8","s8":"s3","s9":"s4","s10":"s6"},"h":{"s0":"s6","s1":"s8","s2":"s5","s3":"s1","s4":"s9","s5":"s5","s6":"s6","s7":"s10","s8":"s1","s9":"s5","s10":"s0"}} | Given the following FSM:
a b c d e f g h
s0 s5 s4 s2 s9 s8 s8 s5 s6
s1 s9 s4 s8 s3 s10 s5 s8 s8
s2 s3 s2 s0 s0 s2 s1 s3 s5
s3 s6 s7 s9 s6 s3 s0 s4 s1
s4 s4 s1 s7 s1 s9 s7 s6 s9
s5 s5 s4 s6 s7 s0 s8 s5 s5
s6 s8 s7 s3 s9 s4 s6 s5 s6
s7 s6 s5 s3 s0 s4 s5 s8 s10
s8 s1 s2 s10 s5 s5 s10 s3 s1
s9 s6 s5 s8 s2 s2 s0 s4 s5
s10 s1 s9 s10 s4 s1 s5 s6 s0
If we are in state s5 and the input is e, what state will we be in next? | s0 |
1785bf08-f44b-49bd-83a9-c0b485b79faf | d113f0eb-1516-45fa-8778-2de36fa7ebcf | {"states": ["s0", "s1", "s2"], "alphabets": "abcdefghi", "accepting_states": ["s0", "s2", "s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "i", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s0"]}]} | 3 | {"a":{"s0":"s2","s1":"s0","s2":"s1"},"b":{"s0":"s2","s1":"s1","s2":"s1"},"c":{"s0":"s1","s1":"s0","s2":"s1"},"d":{"s0":"s2","s1":"s1","s2":"s2"},"e":{"s0":"s2","s1":"s1","s2":"s1"},"f":{"s0":"s1","s1":"s0","s2":"s2"},"g":{"s0":"s1","s1":"s1","s2":"s0"},"h":{"s0":"s0","s1":"s2","s2":"s1"},"i":{"s0":"s0","s1":"s1","s2":"s0"}} | Given the following FSM:
a b c d e f g h i
s0 s2 s2 s1 s2 s2 s1 s1 s0 s0
s1 s0 s1 s0 s1 s1 s0 s1 s2 s1
s2 s1 s1 s1 s2 s1 s2 s0 s1 s0
If we are in state s2 and the input is c, what state will we be in next? | s1 |
8c6d3244-1571-4679-b031-5b93b1b6efcf | 5dd8802a-136a-4622-b525-e6da4fe6aedc | {"states": ["s0", "s1", "s2"], "alphabets": "abcdefghij", "accepting_states": ["s1", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s0"]}, {"fromState": "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": ["s1"]}, {"fromState": "s0", "symbol": "j", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "j", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "i", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "j", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s2","s1":"s2","s2":"s0"},"b":{"s0":"s1","s1":"s0","s2":"s1"},"c":{"s0":"s0","s1":"s2","s2":"s0"},"d":{"s0":"s0","s1":"s2","s2":"s2"},"e":{"s0":"s0","s1":"s1","s2":"s1"},"f":{"s0":"s0","s1":"s0","s2":"s1"},"g":{"s0":"s0","s1":"s2","s2":"s2"},"h":{"s0":"s0","s1":"s2","s2":"s0"},"i":{"s0":"s1","s1":"s2","s2":"s2"},"j":{"s0":"s1","s1":"s2","s2":"s1"}} | Given the following FSM:
a b c d e f g h i j
s0 s2 s1 s0 s0 s0 s0 s0 s0 s1 s1
s1 s2 s0 s2 s2 s1 s0 s2 s2 s2 s2
s2 s0 s1 s0 s2 s1 s1 s2 s0 s2 s1
If we are in state s2 and the input is f, what state will we be in next? | s1 |
0d034f15-50db-4345-9610-524651f2a57a | 156aca17-4f00-4d9b-8692-f010ef516ba3 | {"states": ["s0", "s1", "s2", "s3"], "alphabets": "abcde", "accepting_states": ["s2", "s1", "s3", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s2"]}]} | 2 | {"a":{"s0":"s3","s1":"s1","s2":"s1","s3":"s2"},"b":{"s0":"s2","s1":"s1","s2":"s3","s3":"s3"},"c":{"s0":"s0","s1":"s2","s2":"s1","s3":"s2"},"d":{"s0":"s2","s1":"s3","s2":"s3","s3":"s2"},"e":{"s0":"s1","s1":"s3","s2":"s2","s3":"s2"}} | Given the following FSM:
a b c d e
s0 s3 s2 s0 s2 s1
s1 s1 s1 s2 s3 s3
s2 s1 s3 s1 s3 s2
s3 s2 s3 s2 s2 s2
If we are in state s3 and the input is e, what state will we be in next? | s2 |
d1e0c1a1-d1b6-47bf-9268-feb2f54afc62 | 4fd2beb3-38e4-49d5-a33d-14c3ab3740cd | {"states": ["s0", "s6"], "alphabets": "a", "accepting_states": ["s0", "s6"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}]} | 4 | {"a":{"s0":"s6","s6":"s6"}} | Given the following FSM:
a
s0 s6
s6 s6
If we are in state s0 and the input is a, what state will we be in next? | s6 |
3f7767c4-a51e-42f5-b9b2-5ccdadca2456 | 46af36ff-eca8-4d19-a08a-07ab4117a973 | {"states": ["s0", "s1", "s2", "s3"], "alphabets": "abcdefgh", "accepting_states": ["s2", "s3", "s1", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "e", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s0", "symbol": "h", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "g", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "h", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "e", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "f", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "g", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "h", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "e", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "f", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "g", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "h", "toStates": ["s0"]}]} | 3 | {"a":{"s0":"s1","s1":"s3","s2":"s1","s3":"s2"},"b":{"s0":"s0","s1":"s1","s2":"s2","s3":"s2"},"c":{"s0":"s1","s1":"s0","s2":"s2","s3":"s0"},"d":{"s0":"s2","s1":"s0","s2":"s2","s3":"s2"},"e":{"s0":"s1","s1":"s0","s2":"s0","s3":"s3"},"f":{"s0":"s2","s1":"s1","s2":"s1","s3":"s2"},"g":{"s0":"s3","s1":"s1","s2":"s0","s3":"s3"},"h":{"s0":"s0","s1":"s2","s2":"s3","s3":"s0"}} | Given the following FSM:
a b c d e f g h
s0 s1 s0 s1 s2 s1 s2 s3 s0
s1 s3 s1 s0 s0 s0 s1 s1 s2
s2 s1 s2 s2 s2 s0 s1 s0 s3
s3 s2 s2 s0 s2 s3 s2 s3 s0
If we are in state s3 and the input is f, what state will we be in next? | s2 |
97ab41cc-c06f-4655-9ed1-72ae06f6bdb2 | df0b5a1b-8f06-4db2-9d20-e1003434c4bc | {"states": ["s0", "s1"], "alphabets": "abc", "accepting_states": ["s1"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s1"]}]} | 2 | {"a":{"s0":"s1","s1":"s1"},"b":{"s0":"s1","s1":"s0"},"c":{"s0":"s0","s1":"s1"}} | Given the following FSM:
a b c
s0 s1 s1 s0
s1 s1 s0 s1
If we are in state s1 and the input is a, what state will we be in next? | s1 |