query_id
stringlengths 36
36
| fsm_id
stringclasses 640
values | fsm_json
stringclasses 584
values | difficulty_level
int64 1
4
| transition_matrix
stringclasses 581
values | query
stringlengths 187
650
| answer
stringclasses 15
values | substring_index
int64 1
20
| number_of_states
int64 1
10
| number_of_alphabets
int64 1
8
| state_alpha_combo
stringclasses 80
values |
|---|---|---|---|---|---|---|---|---|---|---|
1168ac09-43f3-4c18-804b-9f01b6cbabda | 66433b9d-12cf-4a58-b946-7e217523df0e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s3", "s6", "s1", "s7", "s0", "s5", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s7","s1":"s3","s2":"s3","s3":"s3","s4":"s3","s5":"s6","s6":"s8","s7":"s1","s8":"s0","s9":"s0"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s8","s4":"s8","s5":"s9","s6":"s4","s7":"s7","s8":"s4","s9":"s7"},"c":{"s0":"s1","s1":"s2","s2":"s6","s3":"s5","s4":"s8","s5":"s0","s6":"s7","s7":"s4","s8":"s7","s9":"s3"}} | Given the following FSM:
a b c
s0 s7 s6 s1
s1 s3 s6 s2
s2 s3 s3 s6
s3 s3 s8 s5
s4 s3 s8 s8
s5 s6 s9 s0
s6 s8 s4 s7
s7 s1 s7 s4
s8 s0 s4 s7
s9 s0 s7 s3
With the initial state: s0, and accepting states: ['s3', 's6', 's1', 's7', 's0', 's5', 's9'],
What will be the state after reading the following input: a ?
Let's think step by step | s7 | 1 | 10 | 3 | 10_3 |
c9fceeb7-87b8-4032-8a3b-569a0b577f4a | 66433b9d-12cf-4a58-b946-7e217523df0e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s3", "s6", "s1", "s7", "s0", "s5", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s7","s1":"s3","s2":"s3","s3":"s3","s4":"s3","s5":"s6","s6":"s8","s7":"s1","s8":"s0","s9":"s0"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s8","s4":"s8","s5":"s9","s6":"s4","s7":"s7","s8":"s4","s9":"s7"},"c":{"s0":"s1","s1":"s2","s2":"s6","s3":"s5","s4":"s8","s5":"s0","s6":"s7","s7":"s4","s8":"s7","s9":"s3"}} | Given the following FSM:
a b c
s0 s7 s6 s1
s1 s3 s6 s2
s2 s3 s3 s6
s3 s3 s8 s5
s4 s3 s8 s8
s5 s6 s9 s0
s6 s8 s4 s7
s7 s1 s7 s4
s8 s0 s4 s7
s9 s0 s7 s3
With the initial state: s0, and accepting states: ['s3', 's6', 's1', 's7', 's0', 's5', 's9'],
What will be the state after reading the following input: a b ?
Let's think step by step | s7 | 2 | 10 | 3 | 10_3 |
e04ed291-30ac-4228-ac13-3c8c16dee478 | 66433b9d-12cf-4a58-b946-7e217523df0e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s3", "s6", "s1", "s7", "s0", "s5", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s7","s1":"s3","s2":"s3","s3":"s3","s4":"s3","s5":"s6","s6":"s8","s7":"s1","s8":"s0","s9":"s0"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s8","s4":"s8","s5":"s9","s6":"s4","s7":"s7","s8":"s4","s9":"s7"},"c":{"s0":"s1","s1":"s2","s2":"s6","s3":"s5","s4":"s8","s5":"s0","s6":"s7","s7":"s4","s8":"s7","s9":"s3"}} | Given the following FSM:
a b c
s0 s7 s6 s1
s1 s3 s6 s2
s2 s3 s3 s6
s3 s3 s8 s5
s4 s3 s8 s8
s5 s6 s9 s0
s6 s8 s4 s7
s7 s1 s7 s4
s8 s0 s4 s7
s9 s0 s7 s3
With the initial state: s0, and accepting states: ['s3', 's6', 's1', 's7', 's0', 's5', 's9'],
What will be the state after reading the following input: a b c ?
Let's think step by step | s4 | 3 | 10 | 3 | 10_3 |
85c9e50b-2b41-4afb-a8ca-7d572e5f8af5 | 66433b9d-12cf-4a58-b946-7e217523df0e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s3", "s6", "s1", "s7", "s0", "s5", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s7","s1":"s3","s2":"s3","s3":"s3","s4":"s3","s5":"s6","s6":"s8","s7":"s1","s8":"s0","s9":"s0"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s8","s4":"s8","s5":"s9","s6":"s4","s7":"s7","s8":"s4","s9":"s7"},"c":{"s0":"s1","s1":"s2","s2":"s6","s3":"s5","s4":"s8","s5":"s0","s6":"s7","s7":"s4","s8":"s7","s9":"s3"}} | Given the following FSM:
a b c
s0 s7 s6 s1
s1 s3 s6 s2
s2 s3 s3 s6
s3 s3 s8 s5
s4 s3 s8 s8
s5 s6 s9 s0
s6 s8 s4 s7
s7 s1 s7 s4
s8 s0 s4 s7
s9 s0 s7 s3
With the initial state: s0, and accepting states: ['s3', 's6', 's1', 's7', 's0', 's5', 's9'],
What will be the state after reading the following input: a b c c ?
Let's think step by step | s8 | 4 | 10 | 3 | 10_3 |
0a5a5f7b-76a4-4ccb-90ba-208b7d21ac7e | 66433b9d-12cf-4a58-b946-7e217523df0e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s3", "s6", "s1", "s7", "s0", "s5", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s7","s1":"s3","s2":"s3","s3":"s3","s4":"s3","s5":"s6","s6":"s8","s7":"s1","s8":"s0","s9":"s0"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s8","s4":"s8","s5":"s9","s6":"s4","s7":"s7","s8":"s4","s9":"s7"},"c":{"s0":"s1","s1":"s2","s2":"s6","s3":"s5","s4":"s8","s5":"s0","s6":"s7","s7":"s4","s8":"s7","s9":"s3"}} | Given the following FSM:
a b c
s0 s7 s6 s1
s1 s3 s6 s2
s2 s3 s3 s6
s3 s3 s8 s5
s4 s3 s8 s8
s5 s6 s9 s0
s6 s8 s4 s7
s7 s1 s7 s4
s8 s0 s4 s7
s9 s0 s7 s3
With the initial state: s0, and accepting states: ['s3', 's6', 's1', 's7', 's0', 's5', 's9'],
What will be the state after reading the following input: a b c c b ?
Let's think step by step | s4 | 5 | 10 | 3 | 10_3 |
a6c58700-d61c-4ca1-affa-0520b9baaa9e | 66433b9d-12cf-4a58-b946-7e217523df0e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s3", "s6", "s1", "s7", "s0", "s5", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s7","s1":"s3","s2":"s3","s3":"s3","s4":"s3","s5":"s6","s6":"s8","s7":"s1","s8":"s0","s9":"s0"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s8","s4":"s8","s5":"s9","s6":"s4","s7":"s7","s8":"s4","s9":"s7"},"c":{"s0":"s1","s1":"s2","s2":"s6","s3":"s5","s4":"s8","s5":"s0","s6":"s7","s7":"s4","s8":"s7","s9":"s3"}} | Given the following FSM:
a b c
s0 s7 s6 s1
s1 s3 s6 s2
s2 s3 s3 s6
s3 s3 s8 s5
s4 s3 s8 s8
s5 s6 s9 s0
s6 s8 s4 s7
s7 s1 s7 s4
s8 s0 s4 s7
s9 s0 s7 s3
With the initial state: s0, and accepting states: ['s3', 's6', 's1', 's7', 's0', 's5', 's9'],
What will be the state after reading the following input: a b c c b c ?
Let's think step by step | s8 | 6 | 10 | 3 | 10_3 |
c80b82ac-ff3a-41f1-a3b0-db44f0f12dce | 66433b9d-12cf-4a58-b946-7e217523df0e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s3", "s6", "s1", "s7", "s0", "s5", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s7","s1":"s3","s2":"s3","s3":"s3","s4":"s3","s5":"s6","s6":"s8","s7":"s1","s8":"s0","s9":"s0"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s8","s4":"s8","s5":"s9","s6":"s4","s7":"s7","s8":"s4","s9":"s7"},"c":{"s0":"s1","s1":"s2","s2":"s6","s3":"s5","s4":"s8","s5":"s0","s6":"s7","s7":"s4","s8":"s7","s9":"s3"}} | Given the following FSM:
a b c
s0 s7 s6 s1
s1 s3 s6 s2
s2 s3 s3 s6
s3 s3 s8 s5
s4 s3 s8 s8
s5 s6 s9 s0
s6 s8 s4 s7
s7 s1 s7 s4
s8 s0 s4 s7
s9 s0 s7 s3
With the initial state: s0, and accepting states: ['s3', 's6', 's1', 's7', 's0', 's5', 's9'],
What will be the state after reading the following input: a b c c b c a ?
Let's think step by step | s0 | 7 | 10 | 3 | 10_3 |
8cb35910-2e0f-49a6-890c-b02937b8fa7f | 66433b9d-12cf-4a58-b946-7e217523df0e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s3", "s6", "s1", "s7", "s0", "s5", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s7","s1":"s3","s2":"s3","s3":"s3","s4":"s3","s5":"s6","s6":"s8","s7":"s1","s8":"s0","s9":"s0"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s8","s4":"s8","s5":"s9","s6":"s4","s7":"s7","s8":"s4","s9":"s7"},"c":{"s0":"s1","s1":"s2","s2":"s6","s3":"s5","s4":"s8","s5":"s0","s6":"s7","s7":"s4","s8":"s7","s9":"s3"}} | Given the following FSM:
a b c
s0 s7 s6 s1
s1 s3 s6 s2
s2 s3 s3 s6
s3 s3 s8 s5
s4 s3 s8 s8
s5 s6 s9 s0
s6 s8 s4 s7
s7 s1 s7 s4
s8 s0 s4 s7
s9 s0 s7 s3
With the initial state: s0, and accepting states: ['s3', 's6', 's1', 's7', 's0', 's5', 's9'],
What will be the state after reading the following input: a b c c b c a b ?
Let's think step by step | s6 | 8 | 10 | 3 | 10_3 |
2043a44c-1add-41b3-be69-ebda7fbe8233 | 66433b9d-12cf-4a58-b946-7e217523df0e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s3", "s6", "s1", "s7", "s0", "s5", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s7","s1":"s3","s2":"s3","s3":"s3","s4":"s3","s5":"s6","s6":"s8","s7":"s1","s8":"s0","s9":"s0"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s8","s4":"s8","s5":"s9","s6":"s4","s7":"s7","s8":"s4","s9":"s7"},"c":{"s0":"s1","s1":"s2","s2":"s6","s3":"s5","s4":"s8","s5":"s0","s6":"s7","s7":"s4","s8":"s7","s9":"s3"}} | Given the following FSM:
a b c
s0 s7 s6 s1
s1 s3 s6 s2
s2 s3 s3 s6
s3 s3 s8 s5
s4 s3 s8 s8
s5 s6 s9 s0
s6 s8 s4 s7
s7 s1 s7 s4
s8 s0 s4 s7
s9 s0 s7 s3
With the initial state: s0, and accepting states: ['s3', 's6', 's1', 's7', 's0', 's5', 's9'],
What will be the state after reading the following input: a b c c b c a b a ?
Let's think step by step | s8 | 9 | 10 | 3 | 10_3 |
2e1349c8-e73f-4f61-af91-4ba5ac872149 | 66433b9d-12cf-4a58-b946-7e217523df0e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s3", "s6", "s1", "s7", "s0", "s5", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s7","s1":"s3","s2":"s3","s3":"s3","s4":"s3","s5":"s6","s6":"s8","s7":"s1","s8":"s0","s9":"s0"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s8","s4":"s8","s5":"s9","s6":"s4","s7":"s7","s8":"s4","s9":"s7"},"c":{"s0":"s1","s1":"s2","s2":"s6","s3":"s5","s4":"s8","s5":"s0","s6":"s7","s7":"s4","s8":"s7","s9":"s3"}} | Given the following FSM:
a b c
s0 s7 s6 s1
s1 s3 s6 s2
s2 s3 s3 s6
s3 s3 s8 s5
s4 s3 s8 s8
s5 s6 s9 s0
s6 s8 s4 s7
s7 s1 s7 s4
s8 s0 s4 s7
s9 s0 s7 s3
With the initial state: s0, and accepting states: ['s3', 's6', 's1', 's7', 's0', 's5', 's9'],
What will be the state after reading the following input: a b c c b c a b a b ?
Let's think step by step | s4 | 10 | 10 | 3 | 10_3 |
d9a5e58e-6323-4fed-99aa-f097555b7816 | 66433b9d-12cf-4a58-b946-7e217523df0e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s3", "s6", "s1", "s7", "s0", "s5", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s7","s1":"s3","s2":"s3","s3":"s3","s4":"s3","s5":"s6","s6":"s8","s7":"s1","s8":"s0","s9":"s0"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s8","s4":"s8","s5":"s9","s6":"s4","s7":"s7","s8":"s4","s9":"s7"},"c":{"s0":"s1","s1":"s2","s2":"s6","s3":"s5","s4":"s8","s5":"s0","s6":"s7","s7":"s4","s8":"s7","s9":"s3"}} | Given the following FSM:
a b c
s0 s7 s6 s1
s1 s3 s6 s2
s2 s3 s3 s6
s3 s3 s8 s5
s4 s3 s8 s8
s5 s6 s9 s0
s6 s8 s4 s7
s7 s1 s7 s4
s8 s0 s4 s7
s9 s0 s7 s3
With the initial state: s0, and accepting states: ['s3', 's6', 's1', 's7', 's0', 's5', 's9'],
What will be the state after reading the following input: a b c c b c a b a b a ?
Let's think step by step | s3 | 11 | 10 | 3 | 10_3 |
08aa6edf-02fe-4247-8b2c-e0c969929d5f | 66433b9d-12cf-4a58-b946-7e217523df0e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s3", "s6", "s1", "s7", "s0", "s5", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s7","s1":"s3","s2":"s3","s3":"s3","s4":"s3","s5":"s6","s6":"s8","s7":"s1","s8":"s0","s9":"s0"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s8","s4":"s8","s5":"s9","s6":"s4","s7":"s7","s8":"s4","s9":"s7"},"c":{"s0":"s1","s1":"s2","s2":"s6","s3":"s5","s4":"s8","s5":"s0","s6":"s7","s7":"s4","s8":"s7","s9":"s3"}} | Given the following FSM:
a b c
s0 s7 s6 s1
s1 s3 s6 s2
s2 s3 s3 s6
s3 s3 s8 s5
s4 s3 s8 s8
s5 s6 s9 s0
s6 s8 s4 s7
s7 s1 s7 s4
s8 s0 s4 s7
s9 s0 s7 s3
With the initial state: s0, and accepting states: ['s3', 's6', 's1', 's7', 's0', 's5', 's9'],
What will be the state after reading the following input: a b c c b c a b a b a a ?
Let's think step by step | s3 | 12 | 10 | 3 | 10_3 |
a6ebe481-efea-4f94-985c-3b5b411a6c76 | 66433b9d-12cf-4a58-b946-7e217523df0e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s3", "s6", "s1", "s7", "s0", "s5", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s7","s1":"s3","s2":"s3","s3":"s3","s4":"s3","s5":"s6","s6":"s8","s7":"s1","s8":"s0","s9":"s0"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s8","s4":"s8","s5":"s9","s6":"s4","s7":"s7","s8":"s4","s9":"s7"},"c":{"s0":"s1","s1":"s2","s2":"s6","s3":"s5","s4":"s8","s5":"s0","s6":"s7","s7":"s4","s8":"s7","s9":"s3"}} | Given the following FSM:
a b c
s0 s7 s6 s1
s1 s3 s6 s2
s2 s3 s3 s6
s3 s3 s8 s5
s4 s3 s8 s8
s5 s6 s9 s0
s6 s8 s4 s7
s7 s1 s7 s4
s8 s0 s4 s7
s9 s0 s7 s3
With the initial state: s0, and accepting states: ['s3', 's6', 's1', 's7', 's0', 's5', 's9'],
What will be the state after reading the following input: a b c c b c a b a b a a a ?
Let's think step by step | s3 | 13 | 10 | 3 | 10_3 |
8638bfd5-a3b9-498d-9efd-e0d637d19f96 | 66433b9d-12cf-4a58-b946-7e217523df0e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s3", "s6", "s1", "s7", "s0", "s5", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s7","s1":"s3","s2":"s3","s3":"s3","s4":"s3","s5":"s6","s6":"s8","s7":"s1","s8":"s0","s9":"s0"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s8","s4":"s8","s5":"s9","s6":"s4","s7":"s7","s8":"s4","s9":"s7"},"c":{"s0":"s1","s1":"s2","s2":"s6","s3":"s5","s4":"s8","s5":"s0","s6":"s7","s7":"s4","s8":"s7","s9":"s3"}} | Given the following FSM:
a b c
s0 s7 s6 s1
s1 s3 s6 s2
s2 s3 s3 s6
s3 s3 s8 s5
s4 s3 s8 s8
s5 s6 s9 s0
s6 s8 s4 s7
s7 s1 s7 s4
s8 s0 s4 s7
s9 s0 s7 s3
With the initial state: s0, and accepting states: ['s3', 's6', 's1', 's7', 's0', 's5', 's9'],
What will be the state after reading the following input: a b c c b c a b a b a a a c ?
Let's think step by step | s5 | 14 | 10 | 3 | 10_3 |
cf9af486-4bd8-49c6-a369-4c3e14722108 | 66433b9d-12cf-4a58-b946-7e217523df0e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s3", "s6", "s1", "s7", "s0", "s5", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s7","s1":"s3","s2":"s3","s3":"s3","s4":"s3","s5":"s6","s6":"s8","s7":"s1","s8":"s0","s9":"s0"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s8","s4":"s8","s5":"s9","s6":"s4","s7":"s7","s8":"s4","s9":"s7"},"c":{"s0":"s1","s1":"s2","s2":"s6","s3":"s5","s4":"s8","s5":"s0","s6":"s7","s7":"s4","s8":"s7","s9":"s3"}} | Given the following FSM:
a b c
s0 s7 s6 s1
s1 s3 s6 s2
s2 s3 s3 s6
s3 s3 s8 s5
s4 s3 s8 s8
s5 s6 s9 s0
s6 s8 s4 s7
s7 s1 s7 s4
s8 s0 s4 s7
s9 s0 s7 s3
With the initial state: s0, and accepting states: ['s3', 's6', 's1', 's7', 's0', 's5', 's9'],
What will be the state after reading the following input: a b c c b c a b a b a a a c a ?
Let's think step by step | s6 | 15 | 10 | 3 | 10_3 |
900c72f8-f05f-446a-afe4-eaa22661c189 | 66433b9d-12cf-4a58-b946-7e217523df0e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s3", "s6", "s1", "s7", "s0", "s5", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s7","s1":"s3","s2":"s3","s3":"s3","s4":"s3","s5":"s6","s6":"s8","s7":"s1","s8":"s0","s9":"s0"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s8","s4":"s8","s5":"s9","s6":"s4","s7":"s7","s8":"s4","s9":"s7"},"c":{"s0":"s1","s1":"s2","s2":"s6","s3":"s5","s4":"s8","s5":"s0","s6":"s7","s7":"s4","s8":"s7","s9":"s3"}} | Given the following FSM:
a b c
s0 s7 s6 s1
s1 s3 s6 s2
s2 s3 s3 s6
s3 s3 s8 s5
s4 s3 s8 s8
s5 s6 s9 s0
s6 s8 s4 s7
s7 s1 s7 s4
s8 s0 s4 s7
s9 s0 s7 s3
With the initial state: s0, and accepting states: ['s3', 's6', 's1', 's7', 's0', 's5', 's9'],
What will be the state after reading the following input: a b c c b c a b a b a a a c a a ?
Let's think step by step | s8 | 16 | 10 | 3 | 10_3 |
8e2aa0e3-23c4-4106-bef9-b4616e0dc2e4 | 66433b9d-12cf-4a58-b946-7e217523df0e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s3", "s6", "s1", "s7", "s0", "s5", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s7","s1":"s3","s2":"s3","s3":"s3","s4":"s3","s5":"s6","s6":"s8","s7":"s1","s8":"s0","s9":"s0"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s8","s4":"s8","s5":"s9","s6":"s4","s7":"s7","s8":"s4","s9":"s7"},"c":{"s0":"s1","s1":"s2","s2":"s6","s3":"s5","s4":"s8","s5":"s0","s6":"s7","s7":"s4","s8":"s7","s9":"s3"}} | Given the following FSM:
a b c
s0 s7 s6 s1
s1 s3 s6 s2
s2 s3 s3 s6
s3 s3 s8 s5
s4 s3 s8 s8
s5 s6 s9 s0
s6 s8 s4 s7
s7 s1 s7 s4
s8 s0 s4 s7
s9 s0 s7 s3
With the initial state: s0, and accepting states: ['s3', 's6', 's1', 's7', 's0', 's5', 's9'],
What will be the state after reading the following input: a b c c b c a b a b a a a c a a a ?
Let's think step by step | s0 | 17 | 10 | 3 | 10_3 |
ecc9ea97-7d16-42e8-a899-d2185b925847 | 66433b9d-12cf-4a58-b946-7e217523df0e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s3", "s6", "s1", "s7", "s0", "s5", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s7","s1":"s3","s2":"s3","s3":"s3","s4":"s3","s5":"s6","s6":"s8","s7":"s1","s8":"s0","s9":"s0"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s8","s4":"s8","s5":"s9","s6":"s4","s7":"s7","s8":"s4","s9":"s7"},"c":{"s0":"s1","s1":"s2","s2":"s6","s3":"s5","s4":"s8","s5":"s0","s6":"s7","s7":"s4","s8":"s7","s9":"s3"}} | Given the following FSM:
a b c
s0 s7 s6 s1
s1 s3 s6 s2
s2 s3 s3 s6
s3 s3 s8 s5
s4 s3 s8 s8
s5 s6 s9 s0
s6 s8 s4 s7
s7 s1 s7 s4
s8 s0 s4 s7
s9 s0 s7 s3
With the initial state: s0, and accepting states: ['s3', 's6', 's1', 's7', 's0', 's5', 's9'],
What will be the state after reading the following input: a b c c b c a b a b a a a c a a a b ?
Let's think step by step | s6 | 18 | 10 | 3 | 10_3 |
45f990d1-b49f-4e2a-86da-f33e22990b54 | 66433b9d-12cf-4a58-b946-7e217523df0e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s3", "s6", "s1", "s7", "s0", "s5", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s7","s1":"s3","s2":"s3","s3":"s3","s4":"s3","s5":"s6","s6":"s8","s7":"s1","s8":"s0","s9":"s0"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s8","s4":"s8","s5":"s9","s6":"s4","s7":"s7","s8":"s4","s9":"s7"},"c":{"s0":"s1","s1":"s2","s2":"s6","s3":"s5","s4":"s8","s5":"s0","s6":"s7","s7":"s4","s8":"s7","s9":"s3"}} | Given the following FSM:
a b c
s0 s7 s6 s1
s1 s3 s6 s2
s2 s3 s3 s6
s3 s3 s8 s5
s4 s3 s8 s8
s5 s6 s9 s0
s6 s8 s4 s7
s7 s1 s7 s4
s8 s0 s4 s7
s9 s0 s7 s3
With the initial state: s0, and accepting states: ['s3', 's6', 's1', 's7', 's0', 's5', 's9'],
What will be the state after reading the following input: a b c c b c a b a b a a a c a a a b a ?
Let's think step by step | s8 | 19 | 10 | 3 | 10_3 |
8d53a1d7-5a26-4632-b4f4-d98e9200535c | 66433b9d-12cf-4a58-b946-7e217523df0e | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s3", "s6", "s1", "s7", "s0", "s5", "s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s7","s1":"s3","s2":"s3","s3":"s3","s4":"s3","s5":"s6","s6":"s8","s7":"s1","s8":"s0","s9":"s0"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s8","s4":"s8","s5":"s9","s6":"s4","s7":"s7","s8":"s4","s9":"s7"},"c":{"s0":"s1","s1":"s2","s2":"s6","s3":"s5","s4":"s8","s5":"s0","s6":"s7","s7":"s4","s8":"s7","s9":"s3"}} | Given the following FSM:
a b c
s0 s7 s6 s1
s1 s3 s6 s2
s2 s3 s3 s6
s3 s3 s8 s5
s4 s3 s8 s8
s5 s6 s9 s0
s6 s8 s4 s7
s7 s1 s7 s4
s8 s0 s4 s7
s9 s0 s7 s3
With the initial state: s0, and accepting states: ['s3', 's6', 's1', 's7', 's0', 's5', 's9'],
What will be the state after reading the following input: a b c c b c a b a b a a a c a a a b a a ?
Let's think step by step | s0 | 20 | 10 | 3 | 10_3 |
c54485ec-caf6-47e8-a047-b5b7e062fc6f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s9", "s0", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s2","s2":"s0","s3":"s0","s4":"s5","s5":"s7","s6":"s4","s7":"s3","s8":"s2","s9":"s8"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s2","s6":"s4","s7":"s9","s8":"s2","s9":"s2"},"c":{"s0":"s9","s1":"s9","s2":"s9","s3":"s9","s4":"s7","s5":"s3","s6":"s2","s7":"s4","s8":"s4","s9":"s1"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b ?
Let's think step by step | s6 | 1 | 10 | 3 | 10_3 |
aca870e8-1e7e-403a-934b-1a4bc1bb209e | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s9", "s0", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s2","s2":"s0","s3":"s0","s4":"s5","s5":"s7","s6":"s4","s7":"s3","s8":"s2","s9":"s8"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s2","s6":"s4","s7":"s9","s8":"s2","s9":"s2"},"c":{"s0":"s9","s1":"s9","s2":"s9","s3":"s9","s4":"s7","s5":"s3","s6":"s2","s7":"s4","s8":"s4","s9":"s1"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c ?
Let's think step by step | s2 | 2 | 10 | 3 | 10_3 |
4367e5e4-92fd-4aab-bed3-cbc07605c22f | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s9", "s0", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s2","s2":"s0","s3":"s0","s4":"s5","s5":"s7","s6":"s4","s7":"s3","s8":"s2","s9":"s8"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s2","s6":"s4","s7":"s9","s8":"s2","s9":"s2"},"c":{"s0":"s9","s1":"s9","s2":"s9","s3":"s9","s4":"s7","s5":"s3","s6":"s2","s7":"s4","s8":"s4","s9":"s1"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b ?
Let's think step by step | s3 | 3 | 10 | 3 | 10_3 |
a67d8b25-dc59-4580-b476-4d5c060420f5 | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s9", "s0", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s2","s2":"s0","s3":"s0","s4":"s5","s5":"s7","s6":"s4","s7":"s3","s8":"s2","s9":"s8"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s2","s6":"s4","s7":"s9","s8":"s2","s9":"s2"},"c":{"s0":"s9","s1":"s9","s2":"s9","s3":"s9","s4":"s7","s5":"s3","s6":"s2","s7":"s4","s8":"s4","s9":"s1"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b ?
Let's think step by step | s4 | 4 | 10 | 3 | 10_3 |
f9698352-d9e3-4d62-bc67-819de6ca3e94 | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s9", "s0", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s2","s2":"s0","s3":"s0","s4":"s5","s5":"s7","s6":"s4","s7":"s3","s8":"s2","s9":"s8"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s2","s6":"s4","s7":"s9","s8":"s2","s9":"s2"},"c":{"s0":"s9","s1":"s9","s2":"s9","s3":"s9","s4":"s7","s5":"s3","s6":"s2","s7":"s4","s8":"s4","s9":"s1"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b c ?
Let's think step by step | s7 | 5 | 10 | 3 | 10_3 |
2801d168-4a51-4044-a6db-6be10863fa8d | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s9", "s0", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s2","s2":"s0","s3":"s0","s4":"s5","s5":"s7","s6":"s4","s7":"s3","s8":"s2","s9":"s8"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s2","s6":"s4","s7":"s9","s8":"s2","s9":"s2"},"c":{"s0":"s9","s1":"s9","s2":"s9","s3":"s9","s4":"s7","s5":"s3","s6":"s2","s7":"s4","s8":"s4","s9":"s1"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b c a ?
Let's think step by step | s3 | 6 | 10 | 3 | 10_3 |
1295e78f-7ed5-4238-be29-c984fdc00d52 | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s9", "s0", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s2","s2":"s0","s3":"s0","s4":"s5","s5":"s7","s6":"s4","s7":"s3","s8":"s2","s9":"s8"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s2","s6":"s4","s7":"s9","s8":"s2","s9":"s2"},"c":{"s0":"s9","s1":"s9","s2":"s9","s3":"s9","s4":"s7","s5":"s3","s6":"s2","s7":"s4","s8":"s4","s9":"s1"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b c a c ?
Let's think step by step | s9 | 7 | 10 | 3 | 10_3 |
5314808e-3f9b-4c74-97ad-582d7c071352 | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s9", "s0", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s2","s2":"s0","s3":"s0","s4":"s5","s5":"s7","s6":"s4","s7":"s3","s8":"s2","s9":"s8"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s2","s6":"s4","s7":"s9","s8":"s2","s9":"s2"},"c":{"s0":"s9","s1":"s9","s2":"s9","s3":"s9","s4":"s7","s5":"s3","s6":"s2","s7":"s4","s8":"s4","s9":"s1"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b c a c a ?
Let's think step by step | s8 | 8 | 10 | 3 | 10_3 |
91a8e883-2158-4d2d-a60b-681c036463e0 | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s9", "s0", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s2","s2":"s0","s3":"s0","s4":"s5","s5":"s7","s6":"s4","s7":"s3","s8":"s2","s9":"s8"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s2","s6":"s4","s7":"s9","s8":"s2","s9":"s2"},"c":{"s0":"s9","s1":"s9","s2":"s9","s3":"s9","s4":"s7","s5":"s3","s6":"s2","s7":"s4","s8":"s4","s9":"s1"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b c a c a b ?
Let's think step by step | s2 | 9 | 10 | 3 | 10_3 |
9346157f-0b06-4eab-90f9-da8938f48ce3 | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s9", "s0", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s2","s2":"s0","s3":"s0","s4":"s5","s5":"s7","s6":"s4","s7":"s3","s8":"s2","s9":"s8"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s2","s6":"s4","s7":"s9","s8":"s2","s9":"s2"},"c":{"s0":"s9","s1":"s9","s2":"s9","s3":"s9","s4":"s7","s5":"s3","s6":"s2","s7":"s4","s8":"s4","s9":"s1"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b c a c a b a ?
Let's think step by step | s0 | 10 | 10 | 3 | 10_3 |
3c616657-6040-4cfb-a82a-de27d818977d | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s9", "s0", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s2","s2":"s0","s3":"s0","s4":"s5","s5":"s7","s6":"s4","s7":"s3","s8":"s2","s9":"s8"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s2","s6":"s4","s7":"s9","s8":"s2","s9":"s2"},"c":{"s0":"s9","s1":"s9","s2":"s9","s3":"s9","s4":"s7","s5":"s3","s6":"s2","s7":"s4","s8":"s4","s9":"s1"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b c a c a b a b ?
Let's think step by step | s6 | 11 | 10 | 3 | 10_3 |
815c7898-ec63-49f0-b3b9-f018c2410105 | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s9", "s0", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s2","s2":"s0","s3":"s0","s4":"s5","s5":"s7","s6":"s4","s7":"s3","s8":"s2","s9":"s8"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s2","s6":"s4","s7":"s9","s8":"s2","s9":"s2"},"c":{"s0":"s9","s1":"s9","s2":"s9","s3":"s9","s4":"s7","s5":"s3","s6":"s2","s7":"s4","s8":"s4","s9":"s1"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b c a c a b a b b ?
Let's think step by step | s4 | 12 | 10 | 3 | 10_3 |
f9a5a856-c163-48ec-be3c-b4da58f0bd7c | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s9", "s0", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s2","s2":"s0","s3":"s0","s4":"s5","s5":"s7","s6":"s4","s7":"s3","s8":"s2","s9":"s8"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s2","s6":"s4","s7":"s9","s8":"s2","s9":"s2"},"c":{"s0":"s9","s1":"s9","s2":"s9","s3":"s9","s4":"s7","s5":"s3","s6":"s2","s7":"s4","s8":"s4","s9":"s1"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b c a c a b a b b c ?
Let's think step by step | s7 | 13 | 10 | 3 | 10_3 |
fbf5bd7b-dacf-4229-b807-604284b1d36e | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s9", "s0", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s2","s2":"s0","s3":"s0","s4":"s5","s5":"s7","s6":"s4","s7":"s3","s8":"s2","s9":"s8"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s2","s6":"s4","s7":"s9","s8":"s2","s9":"s2"},"c":{"s0":"s9","s1":"s9","s2":"s9","s3":"s9","s4":"s7","s5":"s3","s6":"s2","s7":"s4","s8":"s4","s9":"s1"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b c a c a b a b b c c ?
Let's think step by step | s4 | 14 | 10 | 3 | 10_3 |
3564a949-b183-4d81-be16-f7d2f0c85018 | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s9", "s0", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s2","s2":"s0","s3":"s0","s4":"s5","s5":"s7","s6":"s4","s7":"s3","s8":"s2","s9":"s8"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s2","s6":"s4","s7":"s9","s8":"s2","s9":"s2"},"c":{"s0":"s9","s1":"s9","s2":"s9","s3":"s9","s4":"s7","s5":"s3","s6":"s2","s7":"s4","s8":"s4","s9":"s1"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b c a c a b a b b c c a ?
Let's think step by step | s5 | 15 | 10 | 3 | 10_3 |
b08f9f00-10b9-4c15-a7f7-af26fc318d69 | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s9", "s0", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s2","s2":"s0","s3":"s0","s4":"s5","s5":"s7","s6":"s4","s7":"s3","s8":"s2","s9":"s8"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s2","s6":"s4","s7":"s9","s8":"s2","s9":"s2"},"c":{"s0":"s9","s1":"s9","s2":"s9","s3":"s9","s4":"s7","s5":"s3","s6":"s2","s7":"s4","s8":"s4","s9":"s1"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b c a c a b a b b c c a b ?
Let's think step by step | s2 | 16 | 10 | 3 | 10_3 |
5057d01b-c90e-450e-8eba-0fe0c1d4fde2 | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s9", "s0", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s2","s2":"s0","s3":"s0","s4":"s5","s5":"s7","s6":"s4","s7":"s3","s8":"s2","s9":"s8"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s2","s6":"s4","s7":"s9","s8":"s2","s9":"s2"},"c":{"s0":"s9","s1":"s9","s2":"s9","s3":"s9","s4":"s7","s5":"s3","s6":"s2","s7":"s4","s8":"s4","s9":"s1"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b c a c a b a b b c c a b c ?
Let's think step by step | s9 | 17 | 10 | 3 | 10_3 |
28b6424a-8159-4666-a54e-ebc9dec86962 | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s9", "s0", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s2","s2":"s0","s3":"s0","s4":"s5","s5":"s7","s6":"s4","s7":"s3","s8":"s2","s9":"s8"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s2","s6":"s4","s7":"s9","s8":"s2","s9":"s2"},"c":{"s0":"s9","s1":"s9","s2":"s9","s3":"s9","s4":"s7","s5":"s3","s6":"s2","s7":"s4","s8":"s4","s9":"s1"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b c a c a b a b b c c a b c a ?
Let's think step by step | s8 | 18 | 10 | 3 | 10_3 |
ecb8242e-fb73-4910-b423-6abc5aafd3d0 | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s9", "s0", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s2","s2":"s0","s3":"s0","s4":"s5","s5":"s7","s6":"s4","s7":"s3","s8":"s2","s9":"s8"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s2","s6":"s4","s7":"s9","s8":"s2","s9":"s2"},"c":{"s0":"s9","s1":"s9","s2":"s9","s3":"s9","s4":"s7","s5":"s3","s6":"s2","s7":"s4","s8":"s4","s9":"s1"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b c a c a b a b b c c a b c a b ?
Let's think step by step | s2 | 19 | 10 | 3 | 10_3 |
537aa988-de6c-4e9c-bfeb-c04911829a0d | 11393a98-fb5b-4f51-a804-c16b3dd8f77d | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s9", "s0", "s8", "s2"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s0"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s1"]}]} | 3 | {"a":{"s0":"s0","s1":"s2","s2":"s0","s3":"s0","s4":"s5","s5":"s7","s6":"s4","s7":"s3","s8":"s2","s9":"s8"},"b":{"s0":"s6","s1":"s6","s2":"s3","s3":"s4","s4":"s3","s5":"s2","s6":"s4","s7":"s9","s8":"s2","s9":"s2"},"c":{"s0":"s9","s1":"s9","s2":"s9","s3":"s9","s4":"s7","s5":"s3","s6":"s2","s7":"s4","s8":"s4","s9":"s1"}} | Given the following FSM:
a b c
s0 s0 s6 s9
s1 s2 s6 s9
s2 s0 s3 s9
s3 s0 s4 s9
s4 s5 s3 s7
s5 s7 s2 s3
s6 s4 s4 s2
s7 s3 s9 s4
s8 s2 s2 s4
s9 s8 s2 s1
With the initial state: s0, and accepting states: ['s9', 's0', 's8', 's2'],
What will be the state after reading the following input: b c b b c a c a b a b b c c a b c a b a ?
Let's think step by step | s0 | 20 | 10 | 3 | 10_3 |
fdc63d8a-ebbd-4311-b608-0d11b36ebec1 | dc6d846d-1641-4f4d-891b-08736d1c54c6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s10"], "alphabets": "abc", "accepting_states": ["s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s2","s1":"s1","s2":"s3","s3":"s4","s4":"s8","s5":"s4","s6":"s8","s7":"s4","s8":"s7","s10":"s5"},"b":{"s0":"s1","s1":"s7","s2":"s4","s3":"s5","s4":"s3","s5":"s3","s6":"s10","s7":"s10","s8":"s2","s10":"s7"},"c":{"s0":"s6","s1":"s3","s2":"s8","s3":"s4","s4":"s6","s5":"s4","s6":"s5","s7":"s8","s8":"s0","s10":"s6"}} | Given the following FSM:
a b c
s0 s2 s1 s6
s1 s1 s7 s3
s2 s3 s4 s8
s3 s4 s5 s4
s4 s8 s3 s6
s5 s4 s3 s4
s6 s8 s10 s5
s7 s4 s10 s8
s8 s7 s2 s0
s10 s5 s7 s6
With the initial state: s0, and accepting states: ['s8'],
What will be the state after reading the following input: a ?
Let's think step by step | s2 | 1 | 10 | 3 | 10_3 |
89152e3e-e0bb-4168-a2ef-adbb2b53f5f6 | dc6d846d-1641-4f4d-891b-08736d1c54c6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s10"], "alphabets": "abc", "accepting_states": ["s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s2","s1":"s1","s2":"s3","s3":"s4","s4":"s8","s5":"s4","s6":"s8","s7":"s4","s8":"s7","s10":"s5"},"b":{"s0":"s1","s1":"s7","s2":"s4","s3":"s5","s4":"s3","s5":"s3","s6":"s10","s7":"s10","s8":"s2","s10":"s7"},"c":{"s0":"s6","s1":"s3","s2":"s8","s3":"s4","s4":"s6","s5":"s4","s6":"s5","s7":"s8","s8":"s0","s10":"s6"}} | Given the following FSM:
a b c
s0 s2 s1 s6
s1 s1 s7 s3
s2 s3 s4 s8
s3 s4 s5 s4
s4 s8 s3 s6
s5 s4 s3 s4
s6 s8 s10 s5
s7 s4 s10 s8
s8 s7 s2 s0
s10 s5 s7 s6
With the initial state: s0, and accepting states: ['s8'],
What will be the state after reading the following input: a c ?
Let's think step by step | s8 | 2 | 10 | 3 | 10_3 |
1a54cae5-4846-4b51-adc1-fb13abc93f0b | dc6d846d-1641-4f4d-891b-08736d1c54c6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s10"], "alphabets": "abc", "accepting_states": ["s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s2","s1":"s1","s2":"s3","s3":"s4","s4":"s8","s5":"s4","s6":"s8","s7":"s4","s8":"s7","s10":"s5"},"b":{"s0":"s1","s1":"s7","s2":"s4","s3":"s5","s4":"s3","s5":"s3","s6":"s10","s7":"s10","s8":"s2","s10":"s7"},"c":{"s0":"s6","s1":"s3","s2":"s8","s3":"s4","s4":"s6","s5":"s4","s6":"s5","s7":"s8","s8":"s0","s10":"s6"}} | Given the following FSM:
a b c
s0 s2 s1 s6
s1 s1 s7 s3
s2 s3 s4 s8
s3 s4 s5 s4
s4 s8 s3 s6
s5 s4 s3 s4
s6 s8 s10 s5
s7 s4 s10 s8
s8 s7 s2 s0
s10 s5 s7 s6
With the initial state: s0, and accepting states: ['s8'],
What will be the state after reading the following input: a c a ?
Let's think step by step | s7 | 3 | 10 | 3 | 10_3 |
92b9aaf6-7831-462e-86f5-7487bcaa5a95 | dc6d846d-1641-4f4d-891b-08736d1c54c6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s10"], "alphabets": "abc", "accepting_states": ["s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s2","s1":"s1","s2":"s3","s3":"s4","s4":"s8","s5":"s4","s6":"s8","s7":"s4","s8":"s7","s10":"s5"},"b":{"s0":"s1","s1":"s7","s2":"s4","s3":"s5","s4":"s3","s5":"s3","s6":"s10","s7":"s10","s8":"s2","s10":"s7"},"c":{"s0":"s6","s1":"s3","s2":"s8","s3":"s4","s4":"s6","s5":"s4","s6":"s5","s7":"s8","s8":"s0","s10":"s6"}} | Given the following FSM:
a b c
s0 s2 s1 s6
s1 s1 s7 s3
s2 s3 s4 s8
s3 s4 s5 s4
s4 s8 s3 s6
s5 s4 s3 s4
s6 s8 s10 s5
s7 s4 s10 s8
s8 s7 s2 s0
s10 s5 s7 s6
With the initial state: s0, and accepting states: ['s8'],
What will be the state after reading the following input: a c a c ?
Let's think step by step | s8 | 4 | 10 | 3 | 10_3 |
d3d33d52-21c3-46ae-bf36-db270217c4c8 | dc6d846d-1641-4f4d-891b-08736d1c54c6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s10"], "alphabets": "abc", "accepting_states": ["s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s2","s1":"s1","s2":"s3","s3":"s4","s4":"s8","s5":"s4","s6":"s8","s7":"s4","s8":"s7","s10":"s5"},"b":{"s0":"s1","s1":"s7","s2":"s4","s3":"s5","s4":"s3","s5":"s3","s6":"s10","s7":"s10","s8":"s2","s10":"s7"},"c":{"s0":"s6","s1":"s3","s2":"s8","s3":"s4","s4":"s6","s5":"s4","s6":"s5","s7":"s8","s8":"s0","s10":"s6"}} | Given the following FSM:
a b c
s0 s2 s1 s6
s1 s1 s7 s3
s2 s3 s4 s8
s3 s4 s5 s4
s4 s8 s3 s6
s5 s4 s3 s4
s6 s8 s10 s5
s7 s4 s10 s8
s8 s7 s2 s0
s10 s5 s7 s6
With the initial state: s0, and accepting states: ['s8'],
What will be the state after reading the following input: a c a c c ?
Let's think step by step | s0 | 5 | 10 | 3 | 10_3 |
2b458dc1-22c8-4b3e-8ab2-99eedb283afa | dc6d846d-1641-4f4d-891b-08736d1c54c6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s10"], "alphabets": "abc", "accepting_states": ["s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s2","s1":"s1","s2":"s3","s3":"s4","s4":"s8","s5":"s4","s6":"s8","s7":"s4","s8":"s7","s10":"s5"},"b":{"s0":"s1","s1":"s7","s2":"s4","s3":"s5","s4":"s3","s5":"s3","s6":"s10","s7":"s10","s8":"s2","s10":"s7"},"c":{"s0":"s6","s1":"s3","s2":"s8","s3":"s4","s4":"s6","s5":"s4","s6":"s5","s7":"s8","s8":"s0","s10":"s6"}} | Given the following FSM:
a b c
s0 s2 s1 s6
s1 s1 s7 s3
s2 s3 s4 s8
s3 s4 s5 s4
s4 s8 s3 s6
s5 s4 s3 s4
s6 s8 s10 s5
s7 s4 s10 s8
s8 s7 s2 s0
s10 s5 s7 s6
With the initial state: s0, and accepting states: ['s8'],
What will be the state after reading the following input: a c a c c b ?
Let's think step by step | s1 | 6 | 10 | 3 | 10_3 |
1f6a01b4-1484-4300-b6c3-6d20a3bac381 | dc6d846d-1641-4f4d-891b-08736d1c54c6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s10"], "alphabets": "abc", "accepting_states": ["s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s2","s1":"s1","s2":"s3","s3":"s4","s4":"s8","s5":"s4","s6":"s8","s7":"s4","s8":"s7","s10":"s5"},"b":{"s0":"s1","s1":"s7","s2":"s4","s3":"s5","s4":"s3","s5":"s3","s6":"s10","s7":"s10","s8":"s2","s10":"s7"},"c":{"s0":"s6","s1":"s3","s2":"s8","s3":"s4","s4":"s6","s5":"s4","s6":"s5","s7":"s8","s8":"s0","s10":"s6"}} | Given the following FSM:
a b c
s0 s2 s1 s6
s1 s1 s7 s3
s2 s3 s4 s8
s3 s4 s5 s4
s4 s8 s3 s6
s5 s4 s3 s4
s6 s8 s10 s5
s7 s4 s10 s8
s8 s7 s2 s0
s10 s5 s7 s6
With the initial state: s0, and accepting states: ['s8'],
What will be the state after reading the following input: a c a c c b b ?
Let's think step by step | s7 | 7 | 10 | 3 | 10_3 |
ed93e56e-01eb-4c59-a4fb-f1fdf5226011 | dc6d846d-1641-4f4d-891b-08736d1c54c6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s10"], "alphabets": "abc", "accepting_states": ["s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s2","s1":"s1","s2":"s3","s3":"s4","s4":"s8","s5":"s4","s6":"s8","s7":"s4","s8":"s7","s10":"s5"},"b":{"s0":"s1","s1":"s7","s2":"s4","s3":"s5","s4":"s3","s5":"s3","s6":"s10","s7":"s10","s8":"s2","s10":"s7"},"c":{"s0":"s6","s1":"s3","s2":"s8","s3":"s4","s4":"s6","s5":"s4","s6":"s5","s7":"s8","s8":"s0","s10":"s6"}} | Given the following FSM:
a b c
s0 s2 s1 s6
s1 s1 s7 s3
s2 s3 s4 s8
s3 s4 s5 s4
s4 s8 s3 s6
s5 s4 s3 s4
s6 s8 s10 s5
s7 s4 s10 s8
s8 s7 s2 s0
s10 s5 s7 s6
With the initial state: s0, and accepting states: ['s8'],
What will be the state after reading the following input: a c a c c b b c ?
Let's think step by step | s8 | 8 | 10 | 3 | 10_3 |
e752849a-15df-482a-af97-73df37dc5b7f | dc6d846d-1641-4f4d-891b-08736d1c54c6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s10"], "alphabets": "abc", "accepting_states": ["s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s2","s1":"s1","s2":"s3","s3":"s4","s4":"s8","s5":"s4","s6":"s8","s7":"s4","s8":"s7","s10":"s5"},"b":{"s0":"s1","s1":"s7","s2":"s4","s3":"s5","s4":"s3","s5":"s3","s6":"s10","s7":"s10","s8":"s2","s10":"s7"},"c":{"s0":"s6","s1":"s3","s2":"s8","s3":"s4","s4":"s6","s5":"s4","s6":"s5","s7":"s8","s8":"s0","s10":"s6"}} | Given the following FSM:
a b c
s0 s2 s1 s6
s1 s1 s7 s3
s2 s3 s4 s8
s3 s4 s5 s4
s4 s8 s3 s6
s5 s4 s3 s4
s6 s8 s10 s5
s7 s4 s10 s8
s8 s7 s2 s0
s10 s5 s7 s6
With the initial state: s0, and accepting states: ['s8'],
What will be the state after reading the following input: a c a c c b b c c ?
Let's think step by step | s0 | 9 | 10 | 3 | 10_3 |
47ac0180-efaf-4a0a-95f6-94f103e67822 | dc6d846d-1641-4f4d-891b-08736d1c54c6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s10"], "alphabets": "abc", "accepting_states": ["s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s2","s1":"s1","s2":"s3","s3":"s4","s4":"s8","s5":"s4","s6":"s8","s7":"s4","s8":"s7","s10":"s5"},"b":{"s0":"s1","s1":"s7","s2":"s4","s3":"s5","s4":"s3","s5":"s3","s6":"s10","s7":"s10","s8":"s2","s10":"s7"},"c":{"s0":"s6","s1":"s3","s2":"s8","s3":"s4","s4":"s6","s5":"s4","s6":"s5","s7":"s8","s8":"s0","s10":"s6"}} | Given the following FSM:
a b c
s0 s2 s1 s6
s1 s1 s7 s3
s2 s3 s4 s8
s3 s4 s5 s4
s4 s8 s3 s6
s5 s4 s3 s4
s6 s8 s10 s5
s7 s4 s10 s8
s8 s7 s2 s0
s10 s5 s7 s6
With the initial state: s0, and accepting states: ['s8'],
What will be the state after reading the following input: a c a c c b b c c a ?
Let's think step by step | s2 | 10 | 10 | 3 | 10_3 |
bdc8ee95-fa3e-44d9-a90e-53754e15c5eb | dc6d846d-1641-4f4d-891b-08736d1c54c6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s10"], "alphabets": "abc", "accepting_states": ["s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s2","s1":"s1","s2":"s3","s3":"s4","s4":"s8","s5":"s4","s6":"s8","s7":"s4","s8":"s7","s10":"s5"},"b":{"s0":"s1","s1":"s7","s2":"s4","s3":"s5","s4":"s3","s5":"s3","s6":"s10","s7":"s10","s8":"s2","s10":"s7"},"c":{"s0":"s6","s1":"s3","s2":"s8","s3":"s4","s4":"s6","s5":"s4","s6":"s5","s7":"s8","s8":"s0","s10":"s6"}} | Given the following FSM:
a b c
s0 s2 s1 s6
s1 s1 s7 s3
s2 s3 s4 s8
s3 s4 s5 s4
s4 s8 s3 s6
s5 s4 s3 s4
s6 s8 s10 s5
s7 s4 s10 s8
s8 s7 s2 s0
s10 s5 s7 s6
With the initial state: s0, and accepting states: ['s8'],
What will be the state after reading the following input: a c a c c b b c c a c ?
Let's think step by step | s8 | 11 | 10 | 3 | 10_3 |
15f75493-51f2-4b69-b59c-768068e3f316 | dc6d846d-1641-4f4d-891b-08736d1c54c6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s10"], "alphabets": "abc", "accepting_states": ["s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s2","s1":"s1","s2":"s3","s3":"s4","s4":"s8","s5":"s4","s6":"s8","s7":"s4","s8":"s7","s10":"s5"},"b":{"s0":"s1","s1":"s7","s2":"s4","s3":"s5","s4":"s3","s5":"s3","s6":"s10","s7":"s10","s8":"s2","s10":"s7"},"c":{"s0":"s6","s1":"s3","s2":"s8","s3":"s4","s4":"s6","s5":"s4","s6":"s5","s7":"s8","s8":"s0","s10":"s6"}} | Given the following FSM:
a b c
s0 s2 s1 s6
s1 s1 s7 s3
s2 s3 s4 s8
s3 s4 s5 s4
s4 s8 s3 s6
s5 s4 s3 s4
s6 s8 s10 s5
s7 s4 s10 s8
s8 s7 s2 s0
s10 s5 s7 s6
With the initial state: s0, and accepting states: ['s8'],
What will be the state after reading the following input: a c a c c b b c c a c c ?
Let's think step by step | s0 | 12 | 10 | 3 | 10_3 |
4f800eda-afd0-44f6-9871-805cdbcf42c7 | dc6d846d-1641-4f4d-891b-08736d1c54c6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s10"], "alphabets": "abc", "accepting_states": ["s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s2","s1":"s1","s2":"s3","s3":"s4","s4":"s8","s5":"s4","s6":"s8","s7":"s4","s8":"s7","s10":"s5"},"b":{"s0":"s1","s1":"s7","s2":"s4","s3":"s5","s4":"s3","s5":"s3","s6":"s10","s7":"s10","s8":"s2","s10":"s7"},"c":{"s0":"s6","s1":"s3","s2":"s8","s3":"s4","s4":"s6","s5":"s4","s6":"s5","s7":"s8","s8":"s0","s10":"s6"}} | Given the following FSM:
a b c
s0 s2 s1 s6
s1 s1 s7 s3
s2 s3 s4 s8
s3 s4 s5 s4
s4 s8 s3 s6
s5 s4 s3 s4
s6 s8 s10 s5
s7 s4 s10 s8
s8 s7 s2 s0
s10 s5 s7 s6
With the initial state: s0, and accepting states: ['s8'],
What will be the state after reading the following input: a c a c c b b c c a c c a ?
Let's think step by step | s2 | 13 | 10 | 3 | 10_3 |
71fedd0a-c94e-4fcc-bc2b-a07ca2a4ee5c | dc6d846d-1641-4f4d-891b-08736d1c54c6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s10"], "alphabets": "abc", "accepting_states": ["s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s2","s1":"s1","s2":"s3","s3":"s4","s4":"s8","s5":"s4","s6":"s8","s7":"s4","s8":"s7","s10":"s5"},"b":{"s0":"s1","s1":"s7","s2":"s4","s3":"s5","s4":"s3","s5":"s3","s6":"s10","s7":"s10","s8":"s2","s10":"s7"},"c":{"s0":"s6","s1":"s3","s2":"s8","s3":"s4","s4":"s6","s5":"s4","s6":"s5","s7":"s8","s8":"s0","s10":"s6"}} | Given the following FSM:
a b c
s0 s2 s1 s6
s1 s1 s7 s3
s2 s3 s4 s8
s3 s4 s5 s4
s4 s8 s3 s6
s5 s4 s3 s4
s6 s8 s10 s5
s7 s4 s10 s8
s8 s7 s2 s0
s10 s5 s7 s6
With the initial state: s0, and accepting states: ['s8'],
What will be the state after reading the following input: a c a c c b b c c a c c a c ?
Let's think step by step | s8 | 14 | 10 | 3 | 10_3 |
069325d0-c71f-4e64-87d8-b0739eea85db | dc6d846d-1641-4f4d-891b-08736d1c54c6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s10"], "alphabets": "abc", "accepting_states": ["s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s2","s1":"s1","s2":"s3","s3":"s4","s4":"s8","s5":"s4","s6":"s8","s7":"s4","s8":"s7","s10":"s5"},"b":{"s0":"s1","s1":"s7","s2":"s4","s3":"s5","s4":"s3","s5":"s3","s6":"s10","s7":"s10","s8":"s2","s10":"s7"},"c":{"s0":"s6","s1":"s3","s2":"s8","s3":"s4","s4":"s6","s5":"s4","s6":"s5","s7":"s8","s8":"s0","s10":"s6"}} | Given the following FSM:
a b c
s0 s2 s1 s6
s1 s1 s7 s3
s2 s3 s4 s8
s3 s4 s5 s4
s4 s8 s3 s6
s5 s4 s3 s4
s6 s8 s10 s5
s7 s4 s10 s8
s8 s7 s2 s0
s10 s5 s7 s6
With the initial state: s0, and accepting states: ['s8'],
What will be the state after reading the following input: a c a c c b b c c a c c a c b ?
Let's think step by step | s2 | 15 | 10 | 3 | 10_3 |
da93e92d-5155-4b2a-8a80-762cde272e84 | dc6d846d-1641-4f4d-891b-08736d1c54c6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s10"], "alphabets": "abc", "accepting_states": ["s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s2","s1":"s1","s2":"s3","s3":"s4","s4":"s8","s5":"s4","s6":"s8","s7":"s4","s8":"s7","s10":"s5"},"b":{"s0":"s1","s1":"s7","s2":"s4","s3":"s5","s4":"s3","s5":"s3","s6":"s10","s7":"s10","s8":"s2","s10":"s7"},"c":{"s0":"s6","s1":"s3","s2":"s8","s3":"s4","s4":"s6","s5":"s4","s6":"s5","s7":"s8","s8":"s0","s10":"s6"}} | Given the following FSM:
a b c
s0 s2 s1 s6
s1 s1 s7 s3
s2 s3 s4 s8
s3 s4 s5 s4
s4 s8 s3 s6
s5 s4 s3 s4
s6 s8 s10 s5
s7 s4 s10 s8
s8 s7 s2 s0
s10 s5 s7 s6
With the initial state: s0, and accepting states: ['s8'],
What will be the state after reading the following input: a c a c c b b c c a c c a c b a ?
Let's think step by step | s3 | 16 | 10 | 3 | 10_3 |
26a61799-1a03-45a7-9ad9-73944dc3fba4 | dc6d846d-1641-4f4d-891b-08736d1c54c6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s10"], "alphabets": "abc", "accepting_states": ["s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s2","s1":"s1","s2":"s3","s3":"s4","s4":"s8","s5":"s4","s6":"s8","s7":"s4","s8":"s7","s10":"s5"},"b":{"s0":"s1","s1":"s7","s2":"s4","s3":"s5","s4":"s3","s5":"s3","s6":"s10","s7":"s10","s8":"s2","s10":"s7"},"c":{"s0":"s6","s1":"s3","s2":"s8","s3":"s4","s4":"s6","s5":"s4","s6":"s5","s7":"s8","s8":"s0","s10":"s6"}} | Given the following FSM:
a b c
s0 s2 s1 s6
s1 s1 s7 s3
s2 s3 s4 s8
s3 s4 s5 s4
s4 s8 s3 s6
s5 s4 s3 s4
s6 s8 s10 s5
s7 s4 s10 s8
s8 s7 s2 s0
s10 s5 s7 s6
With the initial state: s0, and accepting states: ['s8'],
What will be the state after reading the following input: a c a c c b b c c a c c a c b a c ?
Let's think step by step | s4 | 17 | 10 | 3 | 10_3 |
d21c1725-17cf-4cb4-94e3-c25835a1d9eb | dc6d846d-1641-4f4d-891b-08736d1c54c6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s10"], "alphabets": "abc", "accepting_states": ["s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s2","s1":"s1","s2":"s3","s3":"s4","s4":"s8","s5":"s4","s6":"s8","s7":"s4","s8":"s7","s10":"s5"},"b":{"s0":"s1","s1":"s7","s2":"s4","s3":"s5","s4":"s3","s5":"s3","s6":"s10","s7":"s10","s8":"s2","s10":"s7"},"c":{"s0":"s6","s1":"s3","s2":"s8","s3":"s4","s4":"s6","s5":"s4","s6":"s5","s7":"s8","s8":"s0","s10":"s6"}} | Given the following FSM:
a b c
s0 s2 s1 s6
s1 s1 s7 s3
s2 s3 s4 s8
s3 s4 s5 s4
s4 s8 s3 s6
s5 s4 s3 s4
s6 s8 s10 s5
s7 s4 s10 s8
s8 s7 s2 s0
s10 s5 s7 s6
With the initial state: s0, and accepting states: ['s8'],
What will be the state after reading the following input: a c a c c b b c c a c c a c b a c b ?
Let's think step by step | s3 | 18 | 10 | 3 | 10_3 |
b6d0b7fc-6f9e-438b-a350-cba6133c1d99 | dc6d846d-1641-4f4d-891b-08736d1c54c6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s10"], "alphabets": "abc", "accepting_states": ["s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s2","s1":"s1","s2":"s3","s3":"s4","s4":"s8","s5":"s4","s6":"s8","s7":"s4","s8":"s7","s10":"s5"},"b":{"s0":"s1","s1":"s7","s2":"s4","s3":"s5","s4":"s3","s5":"s3","s6":"s10","s7":"s10","s8":"s2","s10":"s7"},"c":{"s0":"s6","s1":"s3","s2":"s8","s3":"s4","s4":"s6","s5":"s4","s6":"s5","s7":"s8","s8":"s0","s10":"s6"}} | Given the following FSM:
a b c
s0 s2 s1 s6
s1 s1 s7 s3
s2 s3 s4 s8
s3 s4 s5 s4
s4 s8 s3 s6
s5 s4 s3 s4
s6 s8 s10 s5
s7 s4 s10 s8
s8 s7 s2 s0
s10 s5 s7 s6
With the initial state: s0, and accepting states: ['s8'],
What will be the state after reading the following input: a c a c c b b c c a c c a c b a c b c ?
Let's think step by step | s4 | 19 | 10 | 3 | 10_3 |
89243f8c-335a-447b-8031-f82a77db1876 | dc6d846d-1641-4f4d-891b-08736d1c54c6 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s10"], "alphabets": "abc", "accepting_states": ["s8"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s10"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s0"]}, {"fromState": "s10", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s10", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s10", "symbol": "c", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s2","s1":"s1","s2":"s3","s3":"s4","s4":"s8","s5":"s4","s6":"s8","s7":"s4","s8":"s7","s10":"s5"},"b":{"s0":"s1","s1":"s7","s2":"s4","s3":"s5","s4":"s3","s5":"s3","s6":"s10","s7":"s10","s8":"s2","s10":"s7"},"c":{"s0":"s6","s1":"s3","s2":"s8","s3":"s4","s4":"s6","s5":"s4","s6":"s5","s7":"s8","s8":"s0","s10":"s6"}} | Given the following FSM:
a b c
s0 s2 s1 s6
s1 s1 s7 s3
s2 s3 s4 s8
s3 s4 s5 s4
s4 s8 s3 s6
s5 s4 s3 s4
s6 s8 s10 s5
s7 s4 s10 s8
s8 s7 s2 s0
s10 s5 s7 s6
With the initial state: s0, and accepting states: ['s8'],
What will be the state after reading the following input: a c a c c b b c c a c c a c b a c b c b ?
Let's think step by step | s3 | 20 | 10 | 3 | 10_3 |
54825691-7edb-4141-880a-16115b3b3dfd | 5fa119a8-835a-4b62-a1e5-af2b4075bd71 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s3", "s5", "s9", "s4", "s8", "s7", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s1","s1":"s3","s2":"s5","s3":"s9","s4":"s5","s5":"s3","s6":"s6","s7":"s5","s8":"s5","s9":"s6"},"b":{"s0":"s8","s1":"s5","s2":"s1","s3":"s8","s4":"s9","s5":"s0","s6":"s1","s7":"s2","s8":"s9","s9":"s6"},"c":{"s0":"s4","s1":"s3","s2":"s2","s3":"s1","s4":"s8","s5":"s1","s6":"s2","s7":"s5","s8":"s7","s9":"s3"}} | Given the following FSM:
a b c
s0 s1 s8 s4
s1 s3 s5 s3
s2 s5 s1 s2
s3 s9 s8 s1
s4 s5 s9 s8
s5 s3 s0 s1
s6 s6 s1 s2
s7 s5 s2 s5
s8 s5 s9 s7
s9 s6 s6 s3
With the initial state: s0, and accepting states: ['s3', 's5', 's9', 's4', 's8', 's7', 's0'],
What will be the state after reading the following input: c ?
Let's think step by step | s4 | 1 | 10 | 3 | 10_3 |
2f0e03a5-002b-4b3c-af63-f19b38836b4d | 5fa119a8-835a-4b62-a1e5-af2b4075bd71 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s3", "s5", "s9", "s4", "s8", "s7", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s1","s1":"s3","s2":"s5","s3":"s9","s4":"s5","s5":"s3","s6":"s6","s7":"s5","s8":"s5","s9":"s6"},"b":{"s0":"s8","s1":"s5","s2":"s1","s3":"s8","s4":"s9","s5":"s0","s6":"s1","s7":"s2","s8":"s9","s9":"s6"},"c":{"s0":"s4","s1":"s3","s2":"s2","s3":"s1","s4":"s8","s5":"s1","s6":"s2","s7":"s5","s8":"s7","s9":"s3"}} | Given the following FSM:
a b c
s0 s1 s8 s4
s1 s3 s5 s3
s2 s5 s1 s2
s3 s9 s8 s1
s4 s5 s9 s8
s5 s3 s0 s1
s6 s6 s1 s2
s7 s5 s2 s5
s8 s5 s9 s7
s9 s6 s6 s3
With the initial state: s0, and accepting states: ['s3', 's5', 's9', 's4', 's8', 's7', 's0'],
What will be the state after reading the following input: c c ?
Let's think step by step | s8 | 2 | 10 | 3 | 10_3 |
65560460-8636-48e6-b6a6-d3373f08818d | 5fa119a8-835a-4b62-a1e5-af2b4075bd71 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s3", "s5", "s9", "s4", "s8", "s7", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s1","s1":"s3","s2":"s5","s3":"s9","s4":"s5","s5":"s3","s6":"s6","s7":"s5","s8":"s5","s9":"s6"},"b":{"s0":"s8","s1":"s5","s2":"s1","s3":"s8","s4":"s9","s5":"s0","s6":"s1","s7":"s2","s8":"s9","s9":"s6"},"c":{"s0":"s4","s1":"s3","s2":"s2","s3":"s1","s4":"s8","s5":"s1","s6":"s2","s7":"s5","s8":"s7","s9":"s3"}} | Given the following FSM:
a b c
s0 s1 s8 s4
s1 s3 s5 s3
s2 s5 s1 s2
s3 s9 s8 s1
s4 s5 s9 s8
s5 s3 s0 s1
s6 s6 s1 s2
s7 s5 s2 s5
s8 s5 s9 s7
s9 s6 s6 s3
With the initial state: s0, and accepting states: ['s3', 's5', 's9', 's4', 's8', 's7', 's0'],
What will be the state after reading the following input: c c a ?
Let's think step by step | s5 | 3 | 10 | 3 | 10_3 |
4be416d0-9d8b-4f3e-8352-ac097682c02e | 5fa119a8-835a-4b62-a1e5-af2b4075bd71 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s3", "s5", "s9", "s4", "s8", "s7", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s1","s1":"s3","s2":"s5","s3":"s9","s4":"s5","s5":"s3","s6":"s6","s7":"s5","s8":"s5","s9":"s6"},"b":{"s0":"s8","s1":"s5","s2":"s1","s3":"s8","s4":"s9","s5":"s0","s6":"s1","s7":"s2","s8":"s9","s9":"s6"},"c":{"s0":"s4","s1":"s3","s2":"s2","s3":"s1","s4":"s8","s5":"s1","s6":"s2","s7":"s5","s8":"s7","s9":"s3"}} | Given the following FSM:
a b c
s0 s1 s8 s4
s1 s3 s5 s3
s2 s5 s1 s2
s3 s9 s8 s1
s4 s5 s9 s8
s5 s3 s0 s1
s6 s6 s1 s2
s7 s5 s2 s5
s8 s5 s9 s7
s9 s6 s6 s3
With the initial state: s0, and accepting states: ['s3', 's5', 's9', 's4', 's8', 's7', 's0'],
What will be the state after reading the following input: c c a c ?
Let's think step by step | s1 | 4 | 10 | 3 | 10_3 |
14ec7f7c-f0e3-4dd8-9ab7-a0c375bdbb10 | 5fa119a8-835a-4b62-a1e5-af2b4075bd71 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s3", "s5", "s9", "s4", "s8", "s7", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s1","s1":"s3","s2":"s5","s3":"s9","s4":"s5","s5":"s3","s6":"s6","s7":"s5","s8":"s5","s9":"s6"},"b":{"s0":"s8","s1":"s5","s2":"s1","s3":"s8","s4":"s9","s5":"s0","s6":"s1","s7":"s2","s8":"s9","s9":"s6"},"c":{"s0":"s4","s1":"s3","s2":"s2","s3":"s1","s4":"s8","s5":"s1","s6":"s2","s7":"s5","s8":"s7","s9":"s3"}} | Given the following FSM:
a b c
s0 s1 s8 s4
s1 s3 s5 s3
s2 s5 s1 s2
s3 s9 s8 s1
s4 s5 s9 s8
s5 s3 s0 s1
s6 s6 s1 s2
s7 s5 s2 s5
s8 s5 s9 s7
s9 s6 s6 s3
With the initial state: s0, and accepting states: ['s3', 's5', 's9', 's4', 's8', 's7', 's0'],
What will be the state after reading the following input: c c a c b ?
Let's think step by step | s5 | 5 | 10 | 3 | 10_3 |
534ac6d5-9339-40d9-a0ca-c512a8f4d5b5 | 5fa119a8-835a-4b62-a1e5-af2b4075bd71 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s3", "s5", "s9", "s4", "s8", "s7", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s1","s1":"s3","s2":"s5","s3":"s9","s4":"s5","s5":"s3","s6":"s6","s7":"s5","s8":"s5","s9":"s6"},"b":{"s0":"s8","s1":"s5","s2":"s1","s3":"s8","s4":"s9","s5":"s0","s6":"s1","s7":"s2","s8":"s9","s9":"s6"},"c":{"s0":"s4","s1":"s3","s2":"s2","s3":"s1","s4":"s8","s5":"s1","s6":"s2","s7":"s5","s8":"s7","s9":"s3"}} | Given the following FSM:
a b c
s0 s1 s8 s4
s1 s3 s5 s3
s2 s5 s1 s2
s3 s9 s8 s1
s4 s5 s9 s8
s5 s3 s0 s1
s6 s6 s1 s2
s7 s5 s2 s5
s8 s5 s9 s7
s9 s6 s6 s3
With the initial state: s0, and accepting states: ['s3', 's5', 's9', 's4', 's8', 's7', 's0'],
What will be the state after reading the following input: c c a c b a ?
Let's think step by step | s3 | 6 | 10 | 3 | 10_3 |
a099eec6-4f59-4648-bfa8-9a8dd6a040ab | 5fa119a8-835a-4b62-a1e5-af2b4075bd71 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s3", "s5", "s9", "s4", "s8", "s7", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s1","s1":"s3","s2":"s5","s3":"s9","s4":"s5","s5":"s3","s6":"s6","s7":"s5","s8":"s5","s9":"s6"},"b":{"s0":"s8","s1":"s5","s2":"s1","s3":"s8","s4":"s9","s5":"s0","s6":"s1","s7":"s2","s8":"s9","s9":"s6"},"c":{"s0":"s4","s1":"s3","s2":"s2","s3":"s1","s4":"s8","s5":"s1","s6":"s2","s7":"s5","s8":"s7","s9":"s3"}} | Given the following FSM:
a b c
s0 s1 s8 s4
s1 s3 s5 s3
s2 s5 s1 s2
s3 s9 s8 s1
s4 s5 s9 s8
s5 s3 s0 s1
s6 s6 s1 s2
s7 s5 s2 s5
s8 s5 s9 s7
s9 s6 s6 s3
With the initial state: s0, and accepting states: ['s3', 's5', 's9', 's4', 's8', 's7', 's0'],
What will be the state after reading the following input: c c a c b a c ?
Let's think step by step | s1 | 7 | 10 | 3 | 10_3 |
869b6def-8258-40e8-857e-523dc2453aa4 | 5fa119a8-835a-4b62-a1e5-af2b4075bd71 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s3", "s5", "s9", "s4", "s8", "s7", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s1","s1":"s3","s2":"s5","s3":"s9","s4":"s5","s5":"s3","s6":"s6","s7":"s5","s8":"s5","s9":"s6"},"b":{"s0":"s8","s1":"s5","s2":"s1","s3":"s8","s4":"s9","s5":"s0","s6":"s1","s7":"s2","s8":"s9","s9":"s6"},"c":{"s0":"s4","s1":"s3","s2":"s2","s3":"s1","s4":"s8","s5":"s1","s6":"s2","s7":"s5","s8":"s7","s9":"s3"}} | Given the following FSM:
a b c
s0 s1 s8 s4
s1 s3 s5 s3
s2 s5 s1 s2
s3 s9 s8 s1
s4 s5 s9 s8
s5 s3 s0 s1
s6 s6 s1 s2
s7 s5 s2 s5
s8 s5 s9 s7
s9 s6 s6 s3
With the initial state: s0, and accepting states: ['s3', 's5', 's9', 's4', 's8', 's7', 's0'],
What will be the state after reading the following input: c c a c b a c b ?
Let's think step by step | s5 | 8 | 10 | 3 | 10_3 |
7ef877bd-324c-4a53-9d10-6b54ed90de5e | 5fa119a8-835a-4b62-a1e5-af2b4075bd71 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s3", "s5", "s9", "s4", "s8", "s7", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s1","s1":"s3","s2":"s5","s3":"s9","s4":"s5","s5":"s3","s6":"s6","s7":"s5","s8":"s5","s9":"s6"},"b":{"s0":"s8","s1":"s5","s2":"s1","s3":"s8","s4":"s9","s5":"s0","s6":"s1","s7":"s2","s8":"s9","s9":"s6"},"c":{"s0":"s4","s1":"s3","s2":"s2","s3":"s1","s4":"s8","s5":"s1","s6":"s2","s7":"s5","s8":"s7","s9":"s3"}} | Given the following FSM:
a b c
s0 s1 s8 s4
s1 s3 s5 s3
s2 s5 s1 s2
s3 s9 s8 s1
s4 s5 s9 s8
s5 s3 s0 s1
s6 s6 s1 s2
s7 s5 s2 s5
s8 s5 s9 s7
s9 s6 s6 s3
With the initial state: s0, and accepting states: ['s3', 's5', 's9', 's4', 's8', 's7', 's0'],
What will be the state after reading the following input: c c a c b a c b b ?
Let's think step by step | s0 | 9 | 10 | 3 | 10_3 |
47e35306-4f92-49b2-ab9a-995031916b29 | 5fa119a8-835a-4b62-a1e5-af2b4075bd71 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s3", "s5", "s9", "s4", "s8", "s7", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s1","s1":"s3","s2":"s5","s3":"s9","s4":"s5","s5":"s3","s6":"s6","s7":"s5","s8":"s5","s9":"s6"},"b":{"s0":"s8","s1":"s5","s2":"s1","s3":"s8","s4":"s9","s5":"s0","s6":"s1","s7":"s2","s8":"s9","s9":"s6"},"c":{"s0":"s4","s1":"s3","s2":"s2","s3":"s1","s4":"s8","s5":"s1","s6":"s2","s7":"s5","s8":"s7","s9":"s3"}} | Given the following FSM:
a b c
s0 s1 s8 s4
s1 s3 s5 s3
s2 s5 s1 s2
s3 s9 s8 s1
s4 s5 s9 s8
s5 s3 s0 s1
s6 s6 s1 s2
s7 s5 s2 s5
s8 s5 s9 s7
s9 s6 s6 s3
With the initial state: s0, and accepting states: ['s3', 's5', 's9', 's4', 's8', 's7', 's0'],
What will be the state after reading the following input: c c a c b a c b b a ?
Let's think step by step | s1 | 10 | 10 | 3 | 10_3 |
3ae11658-dcc5-4f0f-a1a8-9e25635f5db9 | 5fa119a8-835a-4b62-a1e5-af2b4075bd71 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s3", "s5", "s9", "s4", "s8", "s7", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s1","s1":"s3","s2":"s5","s3":"s9","s4":"s5","s5":"s3","s6":"s6","s7":"s5","s8":"s5","s9":"s6"},"b":{"s0":"s8","s1":"s5","s2":"s1","s3":"s8","s4":"s9","s5":"s0","s6":"s1","s7":"s2","s8":"s9","s9":"s6"},"c":{"s0":"s4","s1":"s3","s2":"s2","s3":"s1","s4":"s8","s5":"s1","s6":"s2","s7":"s5","s8":"s7","s9":"s3"}} | Given the following FSM:
a b c
s0 s1 s8 s4
s1 s3 s5 s3
s2 s5 s1 s2
s3 s9 s8 s1
s4 s5 s9 s8
s5 s3 s0 s1
s6 s6 s1 s2
s7 s5 s2 s5
s8 s5 s9 s7
s9 s6 s6 s3
With the initial state: s0, and accepting states: ['s3', 's5', 's9', 's4', 's8', 's7', 's0'],
What will be the state after reading the following input: c c a c b a c b b a b ?
Let's think step by step | s5 | 11 | 10 | 3 | 10_3 |
eae331e2-acdc-4568-957f-961c43f7c025 | 5fa119a8-835a-4b62-a1e5-af2b4075bd71 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s3", "s5", "s9", "s4", "s8", "s7", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s1","s1":"s3","s2":"s5","s3":"s9","s4":"s5","s5":"s3","s6":"s6","s7":"s5","s8":"s5","s9":"s6"},"b":{"s0":"s8","s1":"s5","s2":"s1","s3":"s8","s4":"s9","s5":"s0","s6":"s1","s7":"s2","s8":"s9","s9":"s6"},"c":{"s0":"s4","s1":"s3","s2":"s2","s3":"s1","s4":"s8","s5":"s1","s6":"s2","s7":"s5","s8":"s7","s9":"s3"}} | Given the following FSM:
a b c
s0 s1 s8 s4
s1 s3 s5 s3
s2 s5 s1 s2
s3 s9 s8 s1
s4 s5 s9 s8
s5 s3 s0 s1
s6 s6 s1 s2
s7 s5 s2 s5
s8 s5 s9 s7
s9 s6 s6 s3
With the initial state: s0, and accepting states: ['s3', 's5', 's9', 's4', 's8', 's7', 's0'],
What will be the state after reading the following input: c c a c b a c b b a b b ?
Let's think step by step | s0 | 12 | 10 | 3 | 10_3 |
995b4391-0bc8-4c01-b464-248f351ef097 | 5fa119a8-835a-4b62-a1e5-af2b4075bd71 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s3", "s5", "s9", "s4", "s8", "s7", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s1","s1":"s3","s2":"s5","s3":"s9","s4":"s5","s5":"s3","s6":"s6","s7":"s5","s8":"s5","s9":"s6"},"b":{"s0":"s8","s1":"s5","s2":"s1","s3":"s8","s4":"s9","s5":"s0","s6":"s1","s7":"s2","s8":"s9","s9":"s6"},"c":{"s0":"s4","s1":"s3","s2":"s2","s3":"s1","s4":"s8","s5":"s1","s6":"s2","s7":"s5","s8":"s7","s9":"s3"}} | Given the following FSM:
a b c
s0 s1 s8 s4
s1 s3 s5 s3
s2 s5 s1 s2
s3 s9 s8 s1
s4 s5 s9 s8
s5 s3 s0 s1
s6 s6 s1 s2
s7 s5 s2 s5
s8 s5 s9 s7
s9 s6 s6 s3
With the initial state: s0, and accepting states: ['s3', 's5', 's9', 's4', 's8', 's7', 's0'],
What will be the state after reading the following input: c c a c b a c b b a b b b ?
Let's think step by step | s8 | 13 | 10 | 3 | 10_3 |
1afd65df-6e67-4fd2-ab1b-000bedde84eb | 5fa119a8-835a-4b62-a1e5-af2b4075bd71 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s3", "s5", "s9", "s4", "s8", "s7", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s1","s1":"s3","s2":"s5","s3":"s9","s4":"s5","s5":"s3","s6":"s6","s7":"s5","s8":"s5","s9":"s6"},"b":{"s0":"s8","s1":"s5","s2":"s1","s3":"s8","s4":"s9","s5":"s0","s6":"s1","s7":"s2","s8":"s9","s9":"s6"},"c":{"s0":"s4","s1":"s3","s2":"s2","s3":"s1","s4":"s8","s5":"s1","s6":"s2","s7":"s5","s8":"s7","s9":"s3"}} | Given the following FSM:
a b c
s0 s1 s8 s4
s1 s3 s5 s3
s2 s5 s1 s2
s3 s9 s8 s1
s4 s5 s9 s8
s5 s3 s0 s1
s6 s6 s1 s2
s7 s5 s2 s5
s8 s5 s9 s7
s9 s6 s6 s3
With the initial state: s0, and accepting states: ['s3', 's5', 's9', 's4', 's8', 's7', 's0'],
What will be the state after reading the following input: c c a c b a c b b a b b b a ?
Let's think step by step | s5 | 14 | 10 | 3 | 10_3 |
542f76a2-b1f1-41dc-a175-d909681b66fb | 5fa119a8-835a-4b62-a1e5-af2b4075bd71 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s3", "s5", "s9", "s4", "s8", "s7", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s1","s1":"s3","s2":"s5","s3":"s9","s4":"s5","s5":"s3","s6":"s6","s7":"s5","s8":"s5","s9":"s6"},"b":{"s0":"s8","s1":"s5","s2":"s1","s3":"s8","s4":"s9","s5":"s0","s6":"s1","s7":"s2","s8":"s9","s9":"s6"},"c":{"s0":"s4","s1":"s3","s2":"s2","s3":"s1","s4":"s8","s5":"s1","s6":"s2","s7":"s5","s8":"s7","s9":"s3"}} | Given the following FSM:
a b c
s0 s1 s8 s4
s1 s3 s5 s3
s2 s5 s1 s2
s3 s9 s8 s1
s4 s5 s9 s8
s5 s3 s0 s1
s6 s6 s1 s2
s7 s5 s2 s5
s8 s5 s9 s7
s9 s6 s6 s3
With the initial state: s0, and accepting states: ['s3', 's5', 's9', 's4', 's8', 's7', 's0'],
What will be the state after reading the following input: c c a c b a c b b a b b b a b ?
Let's think step by step | s0 | 15 | 10 | 3 | 10_3 |
7d56e21e-af79-4fbc-9ef4-7c0f952d460b | 5fa119a8-835a-4b62-a1e5-af2b4075bd71 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s3", "s5", "s9", "s4", "s8", "s7", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s1","s1":"s3","s2":"s5","s3":"s9","s4":"s5","s5":"s3","s6":"s6","s7":"s5","s8":"s5","s9":"s6"},"b":{"s0":"s8","s1":"s5","s2":"s1","s3":"s8","s4":"s9","s5":"s0","s6":"s1","s7":"s2","s8":"s9","s9":"s6"},"c":{"s0":"s4","s1":"s3","s2":"s2","s3":"s1","s4":"s8","s5":"s1","s6":"s2","s7":"s5","s8":"s7","s9":"s3"}} | Given the following FSM:
a b c
s0 s1 s8 s4
s1 s3 s5 s3
s2 s5 s1 s2
s3 s9 s8 s1
s4 s5 s9 s8
s5 s3 s0 s1
s6 s6 s1 s2
s7 s5 s2 s5
s8 s5 s9 s7
s9 s6 s6 s3
With the initial state: s0, and accepting states: ['s3', 's5', 's9', 's4', 's8', 's7', 's0'],
What will be the state after reading the following input: c c a c b a c b b a b b b a b b ?
Let's think step by step | s8 | 16 | 10 | 3 | 10_3 |
f8bc50b6-8bb5-44c4-8f4c-102c274755ec | 5fa119a8-835a-4b62-a1e5-af2b4075bd71 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s3", "s5", "s9", "s4", "s8", "s7", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s1","s1":"s3","s2":"s5","s3":"s9","s4":"s5","s5":"s3","s6":"s6","s7":"s5","s8":"s5","s9":"s6"},"b":{"s0":"s8","s1":"s5","s2":"s1","s3":"s8","s4":"s9","s5":"s0","s6":"s1","s7":"s2","s8":"s9","s9":"s6"},"c":{"s0":"s4","s1":"s3","s2":"s2","s3":"s1","s4":"s8","s5":"s1","s6":"s2","s7":"s5","s8":"s7","s9":"s3"}} | Given the following FSM:
a b c
s0 s1 s8 s4
s1 s3 s5 s3
s2 s5 s1 s2
s3 s9 s8 s1
s4 s5 s9 s8
s5 s3 s0 s1
s6 s6 s1 s2
s7 s5 s2 s5
s8 s5 s9 s7
s9 s6 s6 s3
With the initial state: s0, and accepting states: ['s3', 's5', 's9', 's4', 's8', 's7', 's0'],
What will be the state after reading the following input: c c a c b a c b b a b b b a b b a ?
Let's think step by step | s5 | 17 | 10 | 3 | 10_3 |
5d0ca4b1-f854-4885-9768-b6d70c2b8e92 | 5fa119a8-835a-4b62-a1e5-af2b4075bd71 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s3", "s5", "s9", "s4", "s8", "s7", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s1","s1":"s3","s2":"s5","s3":"s9","s4":"s5","s5":"s3","s6":"s6","s7":"s5","s8":"s5","s9":"s6"},"b":{"s0":"s8","s1":"s5","s2":"s1","s3":"s8","s4":"s9","s5":"s0","s6":"s1","s7":"s2","s8":"s9","s9":"s6"},"c":{"s0":"s4","s1":"s3","s2":"s2","s3":"s1","s4":"s8","s5":"s1","s6":"s2","s7":"s5","s8":"s7","s9":"s3"}} | Given the following FSM:
a b c
s0 s1 s8 s4
s1 s3 s5 s3
s2 s5 s1 s2
s3 s9 s8 s1
s4 s5 s9 s8
s5 s3 s0 s1
s6 s6 s1 s2
s7 s5 s2 s5
s8 s5 s9 s7
s9 s6 s6 s3
With the initial state: s0, and accepting states: ['s3', 's5', 's9', 's4', 's8', 's7', 's0'],
What will be the state after reading the following input: c c a c b a c b b a b b b a b b a c ?
Let's think step by step | s1 | 18 | 10 | 3 | 10_3 |
bf377829-d2ab-4ebd-8b1a-72ef58b01c5a | 5fa119a8-835a-4b62-a1e5-af2b4075bd71 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s3", "s5", "s9", "s4", "s8", "s7", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s1","s1":"s3","s2":"s5","s3":"s9","s4":"s5","s5":"s3","s6":"s6","s7":"s5","s8":"s5","s9":"s6"},"b":{"s0":"s8","s1":"s5","s2":"s1","s3":"s8","s4":"s9","s5":"s0","s6":"s1","s7":"s2","s8":"s9","s9":"s6"},"c":{"s0":"s4","s1":"s3","s2":"s2","s3":"s1","s4":"s8","s5":"s1","s6":"s2","s7":"s5","s8":"s7","s9":"s3"}} | Given the following FSM:
a b c
s0 s1 s8 s4
s1 s3 s5 s3
s2 s5 s1 s2
s3 s9 s8 s1
s4 s5 s9 s8
s5 s3 s0 s1
s6 s6 s1 s2
s7 s5 s2 s5
s8 s5 s9 s7
s9 s6 s6 s3
With the initial state: s0, and accepting states: ['s3', 's5', 's9', 's4', 's8', 's7', 's0'],
What will be the state after reading the following input: c c a c b a c b b a b b b a b b a c a ?
Let's think step by step | s3 | 19 | 10 | 3 | 10_3 |
c2783e6a-5408-4cdc-8eed-a9bd3e3d1cf0 | 5fa119a8-835a-4b62-a1e5-af2b4075bd71 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abc", "accepting_states": ["s3", "s5", "s9", "s4", "s8", "s7", "s0"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s1"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s5"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s3"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s8"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s9"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s3"]}]} | 3 | {"a":{"s0":"s1","s1":"s3","s2":"s5","s3":"s9","s4":"s5","s5":"s3","s6":"s6","s7":"s5","s8":"s5","s9":"s6"},"b":{"s0":"s8","s1":"s5","s2":"s1","s3":"s8","s4":"s9","s5":"s0","s6":"s1","s7":"s2","s8":"s9","s9":"s6"},"c":{"s0":"s4","s1":"s3","s2":"s2","s3":"s1","s4":"s8","s5":"s1","s6":"s2","s7":"s5","s8":"s7","s9":"s3"}} | Given the following FSM:
a b c
s0 s1 s8 s4
s1 s3 s5 s3
s2 s5 s1 s2
s3 s9 s8 s1
s4 s5 s9 s8
s5 s3 s0 s1
s6 s6 s1 s2
s7 s5 s2 s5
s8 s5 s9 s7
s9 s6 s6 s3
With the initial state: s0, and accepting states: ['s3', 's5', 's9', 's4', 's8', 's7', 's0'],
What will be the state after reading the following input: c c a c b a c b b a b b b a b b a c a a ?
Let's think step by step | s9 | 20 | 10 | 3 | 10_3 |
e4a2a76d-0cc3-4ef6-b3b7-5bde6df81338 | dfff7347-83b9-4ba8-82b3-9827691f9834 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s8","s1":"s9","s2":"s7","s3":"s7","s4":"s5","s5":"s3","s6":"s4","s7":"s8","s8":"s2","s9":"s3"},"b":{"s0":"s8","s1":"s0","s2":"s4","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s8","s9":"s6"},"c":{"s0":"s5","s1":"s9","s2":"s6","s3":"s2","s4":"s5","s5":"s1","s6":"s6","s7":"s4","s8":"s7","s9":"s2"},"d":{"s0":"s2","s1":"s8","s2":"s5","s3":"s0","s4":"s7","s5":"s3","s6":"s8","s7":"s0","s8":"s9","s9":"s6"}} | Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c ?
Let's think step by step | s5 | 1 | 10 | 4 | 10_4 |
aa9e9c97-ead4-4f6a-953f-e70714620721 | dfff7347-83b9-4ba8-82b3-9827691f9834 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s8","s1":"s9","s2":"s7","s3":"s7","s4":"s5","s5":"s3","s6":"s4","s7":"s8","s8":"s2","s9":"s3"},"b":{"s0":"s8","s1":"s0","s2":"s4","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s8","s9":"s6"},"c":{"s0":"s5","s1":"s9","s2":"s6","s3":"s2","s4":"s5","s5":"s1","s6":"s6","s7":"s4","s8":"s7","s9":"s2"},"d":{"s0":"s2","s1":"s8","s2":"s5","s3":"s0","s4":"s7","s5":"s3","s6":"s8","s7":"s0","s8":"s9","s9":"s6"}} | Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b ?
Let's think step by step | s1 | 2 | 10 | 4 | 10_4 |
3a2f9567-b0a5-4f2b-ba3d-2311d3a06d47 | dfff7347-83b9-4ba8-82b3-9827691f9834 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s8","s1":"s9","s2":"s7","s3":"s7","s4":"s5","s5":"s3","s6":"s4","s7":"s8","s8":"s2","s9":"s3"},"b":{"s0":"s8","s1":"s0","s2":"s4","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s8","s9":"s6"},"c":{"s0":"s5","s1":"s9","s2":"s6","s3":"s2","s4":"s5","s5":"s1","s6":"s6","s7":"s4","s8":"s7","s9":"s2"},"d":{"s0":"s2","s1":"s8","s2":"s5","s3":"s0","s4":"s7","s5":"s3","s6":"s8","s7":"s0","s8":"s9","s9":"s6"}} | Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a ?
Let's think step by step | s9 | 3 | 10 | 4 | 10_4 |
e4dfa755-f8fb-4bb5-9587-7f7e2f400c8d | dfff7347-83b9-4ba8-82b3-9827691f9834 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s8","s1":"s9","s2":"s7","s3":"s7","s4":"s5","s5":"s3","s6":"s4","s7":"s8","s8":"s2","s9":"s3"},"b":{"s0":"s8","s1":"s0","s2":"s4","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s8","s9":"s6"},"c":{"s0":"s5","s1":"s9","s2":"s6","s3":"s2","s4":"s5","s5":"s1","s6":"s6","s7":"s4","s8":"s7","s9":"s2"},"d":{"s0":"s2","s1":"s8","s2":"s5","s3":"s0","s4":"s7","s5":"s3","s6":"s8","s7":"s0","s8":"s9","s9":"s6"}} | Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a ?
Let's think step by step | s3 | 4 | 10 | 4 | 10_4 |
2092e080-ac6a-4ebb-a84f-7a268ba3af58 | dfff7347-83b9-4ba8-82b3-9827691f9834 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s8","s1":"s9","s2":"s7","s3":"s7","s4":"s5","s5":"s3","s6":"s4","s7":"s8","s8":"s2","s9":"s3"},"b":{"s0":"s8","s1":"s0","s2":"s4","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s8","s9":"s6"},"c":{"s0":"s5","s1":"s9","s2":"s6","s3":"s2","s4":"s5","s5":"s1","s6":"s6","s7":"s4","s8":"s7","s9":"s2"},"d":{"s0":"s2","s1":"s8","s2":"s5","s3":"s0","s4":"s7","s5":"s3","s6":"s8","s7":"s0","s8":"s9","s9":"s6"}} | Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a b ?
Let's think step by step | s2 | 5 | 10 | 4 | 10_4 |
b72970c3-1183-4800-b88a-b3b9d92195e1 | dfff7347-83b9-4ba8-82b3-9827691f9834 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s8","s1":"s9","s2":"s7","s3":"s7","s4":"s5","s5":"s3","s6":"s4","s7":"s8","s8":"s2","s9":"s3"},"b":{"s0":"s8","s1":"s0","s2":"s4","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s8","s9":"s6"},"c":{"s0":"s5","s1":"s9","s2":"s6","s3":"s2","s4":"s5","s5":"s1","s6":"s6","s7":"s4","s8":"s7","s9":"s2"},"d":{"s0":"s2","s1":"s8","s2":"s5","s3":"s0","s4":"s7","s5":"s3","s6":"s8","s7":"s0","s8":"s9","s9":"s6"}} | Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a b a ?
Let's think step by step | s7 | 6 | 10 | 4 | 10_4 |
4908b930-a72f-4e50-b6a5-c906ae846843 | dfff7347-83b9-4ba8-82b3-9827691f9834 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s8","s1":"s9","s2":"s7","s3":"s7","s4":"s5","s5":"s3","s6":"s4","s7":"s8","s8":"s2","s9":"s3"},"b":{"s0":"s8","s1":"s0","s2":"s4","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s8","s9":"s6"},"c":{"s0":"s5","s1":"s9","s2":"s6","s3":"s2","s4":"s5","s5":"s1","s6":"s6","s7":"s4","s8":"s7","s9":"s2"},"d":{"s0":"s2","s1":"s8","s2":"s5","s3":"s0","s4":"s7","s5":"s3","s6":"s8","s7":"s0","s8":"s9","s9":"s6"}} | Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a b a b ?
Let's think step by step | s7 | 7 | 10 | 4 | 10_4 |
80e486d4-a815-49d1-a733-16b6164d9fef | dfff7347-83b9-4ba8-82b3-9827691f9834 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s8","s1":"s9","s2":"s7","s3":"s7","s4":"s5","s5":"s3","s6":"s4","s7":"s8","s8":"s2","s9":"s3"},"b":{"s0":"s8","s1":"s0","s2":"s4","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s8","s9":"s6"},"c":{"s0":"s5","s1":"s9","s2":"s6","s3":"s2","s4":"s5","s5":"s1","s6":"s6","s7":"s4","s8":"s7","s9":"s2"},"d":{"s0":"s2","s1":"s8","s2":"s5","s3":"s0","s4":"s7","s5":"s3","s6":"s8","s7":"s0","s8":"s9","s9":"s6"}} | Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a b a b d ?
Let's think step by step | s0 | 8 | 10 | 4 | 10_4 |
6e36d469-e953-41ac-a1d7-714baffca6ea | dfff7347-83b9-4ba8-82b3-9827691f9834 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s8","s1":"s9","s2":"s7","s3":"s7","s4":"s5","s5":"s3","s6":"s4","s7":"s8","s8":"s2","s9":"s3"},"b":{"s0":"s8","s1":"s0","s2":"s4","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s8","s9":"s6"},"c":{"s0":"s5","s1":"s9","s2":"s6","s3":"s2","s4":"s5","s5":"s1","s6":"s6","s7":"s4","s8":"s7","s9":"s2"},"d":{"s0":"s2","s1":"s8","s2":"s5","s3":"s0","s4":"s7","s5":"s3","s6":"s8","s7":"s0","s8":"s9","s9":"s6"}} | Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a b a b d b ?
Let's think step by step | s8 | 9 | 10 | 4 | 10_4 |
794ba2dc-fa3b-45a4-a2ab-5d87fd43dad8 | dfff7347-83b9-4ba8-82b3-9827691f9834 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s8","s1":"s9","s2":"s7","s3":"s7","s4":"s5","s5":"s3","s6":"s4","s7":"s8","s8":"s2","s9":"s3"},"b":{"s0":"s8","s1":"s0","s2":"s4","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s8","s9":"s6"},"c":{"s0":"s5","s1":"s9","s2":"s6","s3":"s2","s4":"s5","s5":"s1","s6":"s6","s7":"s4","s8":"s7","s9":"s2"},"d":{"s0":"s2","s1":"s8","s2":"s5","s3":"s0","s4":"s7","s5":"s3","s6":"s8","s7":"s0","s8":"s9","s9":"s6"}} | Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a b a b d b c ?
Let's think step by step | s7 | 10 | 10 | 4 | 10_4 |
a00cb427-e1dc-477a-b9dc-7bff14ff6eae | dfff7347-83b9-4ba8-82b3-9827691f9834 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s8","s1":"s9","s2":"s7","s3":"s7","s4":"s5","s5":"s3","s6":"s4","s7":"s8","s8":"s2","s9":"s3"},"b":{"s0":"s8","s1":"s0","s2":"s4","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s8","s9":"s6"},"c":{"s0":"s5","s1":"s9","s2":"s6","s3":"s2","s4":"s5","s5":"s1","s6":"s6","s7":"s4","s8":"s7","s9":"s2"},"d":{"s0":"s2","s1":"s8","s2":"s5","s3":"s0","s4":"s7","s5":"s3","s6":"s8","s7":"s0","s8":"s9","s9":"s6"}} | Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a b a b d b c b ?
Let's think step by step | s7 | 11 | 10 | 4 | 10_4 |
49d6a560-c5e6-448e-bb49-96e5b4a64077 | dfff7347-83b9-4ba8-82b3-9827691f9834 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s8","s1":"s9","s2":"s7","s3":"s7","s4":"s5","s5":"s3","s6":"s4","s7":"s8","s8":"s2","s9":"s3"},"b":{"s0":"s8","s1":"s0","s2":"s4","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s8","s9":"s6"},"c":{"s0":"s5","s1":"s9","s2":"s6","s3":"s2","s4":"s5","s5":"s1","s6":"s6","s7":"s4","s8":"s7","s9":"s2"},"d":{"s0":"s2","s1":"s8","s2":"s5","s3":"s0","s4":"s7","s5":"s3","s6":"s8","s7":"s0","s8":"s9","s9":"s6"}} | Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a b a b d b c b d ?
Let's think step by step | s0 | 12 | 10 | 4 | 10_4 |
96820769-54b1-4490-8567-9e2ccbb3483f | dfff7347-83b9-4ba8-82b3-9827691f9834 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s8","s1":"s9","s2":"s7","s3":"s7","s4":"s5","s5":"s3","s6":"s4","s7":"s8","s8":"s2","s9":"s3"},"b":{"s0":"s8","s1":"s0","s2":"s4","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s8","s9":"s6"},"c":{"s0":"s5","s1":"s9","s2":"s6","s3":"s2","s4":"s5","s5":"s1","s6":"s6","s7":"s4","s8":"s7","s9":"s2"},"d":{"s0":"s2","s1":"s8","s2":"s5","s3":"s0","s4":"s7","s5":"s3","s6":"s8","s7":"s0","s8":"s9","s9":"s6"}} | Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a b a b d b c b d a ?
Let's think step by step | s8 | 13 | 10 | 4 | 10_4 |
de00cade-ff8c-436a-abbf-328bf4ff0907 | dfff7347-83b9-4ba8-82b3-9827691f9834 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s8","s1":"s9","s2":"s7","s3":"s7","s4":"s5","s5":"s3","s6":"s4","s7":"s8","s8":"s2","s9":"s3"},"b":{"s0":"s8","s1":"s0","s2":"s4","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s8","s9":"s6"},"c":{"s0":"s5","s1":"s9","s2":"s6","s3":"s2","s4":"s5","s5":"s1","s6":"s6","s7":"s4","s8":"s7","s9":"s2"},"d":{"s0":"s2","s1":"s8","s2":"s5","s3":"s0","s4":"s7","s5":"s3","s6":"s8","s7":"s0","s8":"s9","s9":"s6"}} | Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a b a b d b c b d a c ?
Let's think step by step | s7 | 14 | 10 | 4 | 10_4 |
0c3e0eae-0356-4496-b480-fd54dd2c3b27 | dfff7347-83b9-4ba8-82b3-9827691f9834 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s8","s1":"s9","s2":"s7","s3":"s7","s4":"s5","s5":"s3","s6":"s4","s7":"s8","s8":"s2","s9":"s3"},"b":{"s0":"s8","s1":"s0","s2":"s4","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s8","s9":"s6"},"c":{"s0":"s5","s1":"s9","s2":"s6","s3":"s2","s4":"s5","s5":"s1","s6":"s6","s7":"s4","s8":"s7","s9":"s2"},"d":{"s0":"s2","s1":"s8","s2":"s5","s3":"s0","s4":"s7","s5":"s3","s6":"s8","s7":"s0","s8":"s9","s9":"s6"}} | Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a b a b d b c b d a c a ?
Let's think step by step | s8 | 15 | 10 | 4 | 10_4 |
b736cc2b-517e-4ed7-b661-52a4db1cbad9 | dfff7347-83b9-4ba8-82b3-9827691f9834 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s8","s1":"s9","s2":"s7","s3":"s7","s4":"s5","s5":"s3","s6":"s4","s7":"s8","s8":"s2","s9":"s3"},"b":{"s0":"s8","s1":"s0","s2":"s4","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s8","s9":"s6"},"c":{"s0":"s5","s1":"s9","s2":"s6","s3":"s2","s4":"s5","s5":"s1","s6":"s6","s7":"s4","s8":"s7","s9":"s2"},"d":{"s0":"s2","s1":"s8","s2":"s5","s3":"s0","s4":"s7","s5":"s3","s6":"s8","s7":"s0","s8":"s9","s9":"s6"}} | Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a b a b d b c b d a c a a ?
Let's think step by step | s2 | 16 | 10 | 4 | 10_4 |
219eb2e9-75f1-49ab-a5ad-c072438147ff | dfff7347-83b9-4ba8-82b3-9827691f9834 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s8","s1":"s9","s2":"s7","s3":"s7","s4":"s5","s5":"s3","s6":"s4","s7":"s8","s8":"s2","s9":"s3"},"b":{"s0":"s8","s1":"s0","s2":"s4","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s8","s9":"s6"},"c":{"s0":"s5","s1":"s9","s2":"s6","s3":"s2","s4":"s5","s5":"s1","s6":"s6","s7":"s4","s8":"s7","s9":"s2"},"d":{"s0":"s2","s1":"s8","s2":"s5","s3":"s0","s4":"s7","s5":"s3","s6":"s8","s7":"s0","s8":"s9","s9":"s6"}} | Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a b a b d b c b d a c a a d ?
Let's think step by step | s5 | 17 | 10 | 4 | 10_4 |
a6064118-91b0-48e4-9be1-17876d29cd27 | dfff7347-83b9-4ba8-82b3-9827691f9834 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s8","s1":"s9","s2":"s7","s3":"s7","s4":"s5","s5":"s3","s6":"s4","s7":"s8","s8":"s2","s9":"s3"},"b":{"s0":"s8","s1":"s0","s2":"s4","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s8","s9":"s6"},"c":{"s0":"s5","s1":"s9","s2":"s6","s3":"s2","s4":"s5","s5":"s1","s6":"s6","s7":"s4","s8":"s7","s9":"s2"},"d":{"s0":"s2","s1":"s8","s2":"s5","s3":"s0","s4":"s7","s5":"s3","s6":"s8","s7":"s0","s8":"s9","s9":"s6"}} | Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a b a b d b c b d a c a a d b ?
Let's think step by step | s1 | 18 | 10 | 4 | 10_4 |
c302fa20-2c82-4a77-95be-a0e4b92e8a08 | dfff7347-83b9-4ba8-82b3-9827691f9834 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s8","s1":"s9","s2":"s7","s3":"s7","s4":"s5","s5":"s3","s6":"s4","s7":"s8","s8":"s2","s9":"s3"},"b":{"s0":"s8","s1":"s0","s2":"s4","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s8","s9":"s6"},"c":{"s0":"s5","s1":"s9","s2":"s6","s3":"s2","s4":"s5","s5":"s1","s6":"s6","s7":"s4","s8":"s7","s9":"s2"},"d":{"s0":"s2","s1":"s8","s2":"s5","s3":"s0","s4":"s7","s5":"s3","s6":"s8","s7":"s0","s8":"s9","s9":"s6"}} | Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a b a b d b c b d a c a a d b a ?
Let's think step by step | s9 | 19 | 10 | 4 | 10_4 |
76067779-de5a-4141-8713-8df069d97d84 | dfff7347-83b9-4ba8-82b3-9827691f9834 | {"states": ["s0", "s1", "s2", "s3", "s4", "s5", "s6", "s7", "s8", "s9"], "alphabets": "abcd", "accepting_states": ["s9"], "initial_state": "s0", "transitions": [{"fromState": "s0", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s0", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s0", "symbol": "d", "toStates": ["s2"]}, {"fromState": "s1", "symbol": "a", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "b", "toStates": ["s0"]}, {"fromState": "s1", "symbol": "c", "toStates": ["s9"]}, {"fromState": "s1", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s2", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s2", "symbol": "b", "toStates": ["s4"]}, {"fromState": "s2", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s2", "symbol": "d", "toStates": ["s5"]}, {"fromState": "s3", "symbol": "a", "toStates": ["s7"]}, {"fromState": "s3", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s3", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s4", "symbol": "a", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s4", "symbol": "c", "toStates": ["s5"]}, {"fromState": "s4", "symbol": "d", "toStates": ["s7"]}, {"fromState": "s5", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s5", "symbol": "b", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "c", "toStates": ["s1"]}, {"fromState": "s5", "symbol": "d", "toStates": ["s3"]}, {"fromState": "s6", "symbol": "a", "toStates": ["s4"]}, {"fromState": "s6", "symbol": "b", "toStates": ["s2"]}, {"fromState": "s6", "symbol": "c", "toStates": ["s6"]}, {"fromState": "s6", "symbol": "d", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "a", "toStates": ["s8"]}, {"fromState": "s7", "symbol": "b", "toStates": ["s7"]}, {"fromState": "s7", "symbol": "c", "toStates": ["s4"]}, {"fromState": "s7", "symbol": "d", "toStates": ["s0"]}, {"fromState": "s8", "symbol": "a", "toStates": ["s2"]}, {"fromState": "s8", "symbol": "b", "toStates": ["s8"]}, {"fromState": "s8", "symbol": "c", "toStates": ["s7"]}, {"fromState": "s8", "symbol": "d", "toStates": ["s9"]}, {"fromState": "s9", "symbol": "a", "toStates": ["s3"]}, {"fromState": "s9", "symbol": "b", "toStates": ["s6"]}, {"fromState": "s9", "symbol": "c", "toStates": ["s2"]}, {"fromState": "s9", "symbol": "d", "toStates": ["s6"]}]} | 3 | {"a":{"s0":"s8","s1":"s9","s2":"s7","s3":"s7","s4":"s5","s5":"s3","s6":"s4","s7":"s8","s8":"s2","s9":"s3"},"b":{"s0":"s8","s1":"s0","s2":"s4","s3":"s2","s4":"s2","s5":"s1","s6":"s2","s7":"s7","s8":"s8","s9":"s6"},"c":{"s0":"s5","s1":"s9","s2":"s6","s3":"s2","s4":"s5","s5":"s1","s6":"s6","s7":"s4","s8":"s7","s9":"s2"},"d":{"s0":"s2","s1":"s8","s2":"s5","s3":"s0","s4":"s7","s5":"s3","s6":"s8","s7":"s0","s8":"s9","s9":"s6"}} | Given the following FSM:
a b c d
s0 s8 s8 s5 s2
s1 s9 s0 s9 s8
s2 s7 s4 s6 s5
s3 s7 s2 s2 s0
s4 s5 s2 s5 s7
s5 s3 s1 s1 s3
s6 s4 s2 s6 s8
s7 s8 s7 s4 s0
s8 s2 s8 s7 s9
s9 s3 s6 s2 s6
With the initial state: s0, and accepting states: ['s9'],
What will be the state after reading the following input: c b a a b a b d b c b d a c a a d b a a ?
Let's think step by step | s3 | 20 | 10 | 4 | 10_4 |