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 |
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